============================== Prover9 =============================== Prover9 (32) version September-2006, September 2006. Process 27603 was started by mccune on cleo.thornwood, Wed Sep 13 15:34:23 2006 The command was "/home/mccune/LADR/bin/prover9 -f MOL-base.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file MOL-base.in assign(max_weight,60). assign(new_constants,1). set(lex_order_vars). set(restrict_denials). assign(max_hours,4). % assign(max_hours, 4) -> assign(max_seconds, 14400). formulas(sos). f(f(y,x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))) = x # label(MOL_SS). end_of_list. formulas(goals). f(x,f(f(y,z),f(y,z))) = f(y,f(f(x,z),f(x,z))) # answer(A_SS). f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # answer(MOD_SS). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 f(x,f(f(y,z),f(y,z))) = f(y,f(f(x,z),f(x,z))) # answer(A_SS) # label(goal). [goal]. 2 f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # answer(MOD_SS) # label(goal). [goal]. ============================== end of process non-clausal formulas === ============================== PROCESS INITIAL CLAUSES =============== % Clauses before input processing: formulas(usable). end_of_list. formulas(sos). f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))) = y # label(MOL_SS). [assumption]. f(c1,f(f(c2,c3),f(c2,c3))) != f(c2,f(f(c1,c3),f(c1,c3))) # answer(A_SS). [deny(1)]. f(c4,f(c6,f(c4,f(c5,c5)))) != f(c4,f(c5,f(c4,f(c6,c6)))) # answer(MOD_SS). [deny(2)]. end_of_list. formulas(demodulators). end_of_list. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % assign(max_proofs, 2). % (Horn set with more than one neg. clause) Term ordering decisions: Relation symbol precedence: lex([ = ]). Function symbol precedence: lex([ c1, c2, c3, c4, c5, c6, f ]). After inverse_order: (no changes). Unfolding symbols: (none). Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(paramodulation) -> set(back_demod). Auto_process settings: (no changes). restricted denial: (wt=19): 4 f(c1,f(f(c2,c3),f(c2,c3))) != f(c2,f(f(c1,c3),f(c1,c3))) # answer(A_SS). [deny(1)]. restricted denial: (wt=19): 5 f(c4,f(c6,f(c4,f(c5,c5)))) != f(c4,f(c5,f(c4,f(c6,c6)))) # answer(MOD_SS). [deny(2)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 4 f(c1,f(f(c2,c3),f(c2,c3))) != f(c2,f(f(c1,c3),f(c1,c3))) # answer(A_SS). [deny(1)]. 5 f(c4,f(c6,f(c4,f(c5,c5)))) != f(c4,f(c5,f(c4,f(c6,c6)))) # answer(MOD_SS). [deny(2)]. end_of_list. formulas(sos). 3 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))) = y # label(MOL_SS). [assumption]. end_of_list. formulas(demodulators). 3 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))) = y # label(MOL_SS). [assumption]. end_of_list. ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.00 seconds. given #1 (I,wt=25): 3 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))) = y # label(MOL_SS). [assumption]. given #2 (F,wt=35): 9 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),z))) = f(y,z). [para(3(a,1),3(a,1,2,2,2))]. given #3 (F,wt=41): 10 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(3(a,1),9(a,1,1,2)),rewrite(3(12),3(12),3(14),3(17),3(30))]. given #4 (T,wt=13): 14 f(f(x,y),f(f(f(y,y),z),y)) = y. [para(3(a,1),10(a,1,2,2))]. given #5 (T,wt=9): 22 f(f(x,y),f(y,y)) = y. [para(3(a,1),14(a,1,2,1))]. given #6 (A,wt=57): 6 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(y,u)))),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(y,u)))),y),f(y,v)))) = y. [para(3(a,1),3(a,1,2,1))]. given #7 (F,wt=11): 48 f(f(x,f(y,y)),y) = f(y,y). [para(22(a,1),9(a,1,2,2,1)),rewrite(22(5),22(5))]. given #8 (F,wt=11): 57 f(f(f(x,x),y),x) = f(x,x). [para(14(a,1),22(a,1,1)),rewrite(14(7)),flip(a)]. given #9 (T,wt=9): 82 f(f(x,y),f(x,x)) = x. [para(22(a,1),57(a,1,1,1)),rewrite(22(6))]. given #10 (T,wt=13): 88 f(x,f(f(y,x),f(y,x))) = f(y,x). [para(3(a,1),82(a,1,1))]. given #11 (A,wt=53): 7 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),f(f(z,x),w)))) = f(z,x). [para(3(a,1),3(a,1,2,2,1,1,1,1))]. given #12 (F,wt=13): 97 f(x,f(f(x,y),f(x,y))) = f(x,y). [para(82(a,1),82(a,1,1))]. given #13 (F,wt=15): 59 f(f(x,y),f(y,f(f(y,y),f(y,z)))) = y. [back_rewrite(39),rewrite(48(7))]. given #14 (T,wt=15): 144 f(f(x,y),f(y,f(f(y,y),f(z,y)))) = y. [para(88(a,1),59(a,1,2,2,2))]. given #15 (T,wt=17): 117 f(x,f(f(x,x),f(x,f(f(x,x),y)))) = f(x,x). [para(22(a,1),7(a,1,2,2,1)),rewrite(103(11),82(3))]. given #16 (A,wt=57): 8 f(f(x,y),f(f(f(y,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))),y),f(y,v)))) = y. [para(3(a,1),3(a,1,2,2,1,1,1))]. given #17 (F,wt=17): 160 f(x,f(f(x,x),f(x,f(y,f(x,x))))) = f(x,x). [para(22(a,1),144(a,1,1)),rewrite(82(4))]. given #18 (F,wt=21): 42 f(f(x,f(y,y)),f(f(y,y),f(y,f(f(y,y),z)))) = f(y,y). [para(22(a,1),3(a,1,2,2,1)),rewrite(22(5))]. given #19 (T,wt=21): 74 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))) = x. [para(57(a,1),3(a,1,2,2,1,1))]. given #20 (T,wt=21): 141 f(f(x,f(f(x,x),f(x,y))),f(x,f(f(x,x),f(x,y)))) = x. [para(59(a,1),57(a,1)),flip(a)]. given #21 (A,wt=49): 11 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),x))) = f(z,x). [para(3(a,1),9(a,1,2,2,1,1,1,1))]. given #22 (F,wt=13): 210 f(x,f(f(x,x),f(x,y))) = f(x,x). [para(141(a,1),22(a,1,1)),rewrite(141(9)),flip(a)]. given #23 (F,wt=13): 231 f(f(x,x),f(x,f(f(x,x),y))) = x. [para(22(a,1),210(a,1,2,1)),rewrite(82(8))]. given #24 (T,wt=13): 235 f(x,f(f(x,x),f(y,x))) = f(x,x). [para(88(a,1),210(a,1,2,2))]. given #25 (T,wt=13): 244 f(f(x,x),f(x,f(y,f(x,x)))) = x. [para(88(a,1),231(a,1,2,2))]. given #26 (A,wt=59): 12 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(f(f(y,z),w),v),v),f(y,z)),z))))) = f(y,z). [para(9(a,1),9(a,1,1,2)),rewrite(9(17),9(18),9(21),9(25),9(42))]. given #27 (F,wt=19): 260 f(f(f(f(x,x),x),f(f(x,x),x)),x) = f(f(x,x),x). [para(11(a,1),244(a,1,2,2)),rewrite(237(13),57(14),82(11)),flip(a)]. given #28 (F,wt=21): 201 f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(x,x)) = x. [para(74(a,1),88(a,1,2,1)),rewrite(74(16),74(18))]. given #29 (T,wt=21): 202 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))) = x. [para(88(a,1),74(a,1,2,2,2))]. given #30 (T,wt=21): 227 f(f(x,y),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(3(a,1),210(a,1,2,2))]. given #31 (A,wt=59): 13 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),f(f(y,z),w)))))) = f(y,z). [para(3(a,1),10(a,1,2,2,2,2,1,1,1,1))]. given #32 (F,wt=21): 234 f(f(x,y),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(82(a,1),210(a,1,2,2))]. given #33 (F,wt=21): 278 f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(22(a,1),260(a,1,1,1,1)),rewrite(82(5),82(10))]. given #34 (T,wt=21): 285 f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(x,x)) = x. [para(88(a,1),201(a,1,1,2,2))]. given #35 (T,wt=23): 198 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y)))) = f(x,x). [para(22(a,1),74(a,1,1)),rewrite(82(3),82(5))]. given #36 (A,wt=57): 15 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),w),f(f(f(f(f(y,v6),w),w),y),f(y,v7)))))))) = y. [para(10(a,1),9(a,1,1,2)),rewrite(10(20),10(20),10(22),10(25),10(46))]. given #37 (F,wt=23): 239 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(x,z)))) = x. [para(231(a,1),3(a,1,2,2,1,1,1)),rewrite(231(6))]. given #38 (F,wt=23): 255 f(f(x,x),f(x,f(f(f(x,f(x,f(y,f(x,x)))),x),f(x,z)))) = x. [para(244(a,1),3(a,1,2,2,1,1,1)),rewrite(244(6))]. given #39 (T,wt=23): 282 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y))),x) = f(x,x). [para(22(a,1),201(a,1,1,1,1)),rewrite(82(5),82(11))]. given #40 (T,wt=23): 292 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x))))) = f(x,x). [para(22(a,1),202(a,1,1)),rewrite(82(3),82(5))]. given #41 (A,wt=31): 37 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(z,x)),y),y),f(x,x)),f(f(x,x),u)))) = f(x,x). [para(22(a,1),3(a,1,1)),rewrite(22(3))]. given #42 (F,wt=23): 327 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),x) = f(x,x). [para(22(a,1),285(a,1,1,1,1)),rewrite(82(5),82(11))]. given #43 (F,wt=23): 353 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(88(a,1),239(a,1,2,2,2))]. given #44 (T,wt=17): 394 f(f(x,x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(88(a,1),353(a,1,2))]. given #45 (T,wt=17): 405 f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),x)) = x. [para(88(a,1),394(a,1,2,1,2,2))]. given #46 (A,wt=33): 38 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,y),u)))) = f(y,y). [para(22(a,1),3(a,1,2,1,1))]. given #47 (F,wt=21): 404 f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,x))) = f(x,x). [para(22(a,1),394(a,1,1)),rewrite(82(5))]. given #48 (F,wt=21): 416 f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,x))) = f(x,x). [para(22(a,1),405(a,1,1)),rewrite(82(5))]. given #49 (T,wt=23): 360 f(f(x,x),f(x,f(f(f(x,f(x,f(y,f(x,x)))),x),f(z,x)))) = x. [para(88(a,1),255(a,1,2,2,2))]. given #50 (T,wt=25): 41 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(y,z)))) = y. [para(22(a,1),3(a,1,2,2,1,1,1))]. given #51 (A,wt=37): 40 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),f(f(y,x),u)))) = f(y,x). [para(22(a,1),3(a,1,2,2,1,1,1,1))]. given #52 (F,wt=19): 462 f(x,f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(285(a,1),41(a,1,2,2,1)),rewrite(22(4),82(3),88(6))]. given #53 (F,wt=19): 463 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(x,y)))) = x. [para(327(a,1),41(a,1,2,2,1)),rewrite(48(3),88(8))]. given #54 (T,wt=19): 485 f(f(f(f(x,x),x),f(x,f(f(x,x),y))),x) = f(x,x). [para(462(a,1),88(a,1,2,1)),rewrite(462(14),82(9),462(14))]. given #55 (T,wt=19): 486 f(x,f(f(f(x,x),x),f(x,f(y,f(x,x))))) = f(x,x). [para(88(a,1),462(a,1,2,2,2))]. given #56 (A,wt=33): 46 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),x))) = f(y,x). [para(22(a,1),9(a,1,2,2,1,1,1,1))]. given #57 (F,wt=19): 502 f(f(f(x,f(x,x)),f(f(x,x),f(x,y))),f(x,x)) = x. [para(463(a,1),88(a,1,2,1)),rewrite(463(14),463(16))]. given #58 (F,wt=19): 503 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(y,x)))) = x. [para(88(a,1),463(a,1,2,2,2))]. given #59 (T,wt=19): 509 f(f(f(f(x,x),x),f(x,f(y,f(x,x)))),x) = f(x,x). [para(88(a,1),485(a,1,1,2,2))]. given #60 (T,wt=19): 535 f(f(f(x,f(x,x)),f(f(x,x),f(y,x))),f(x,x)) = x. [para(88(a,1),502(a,1,1,2,2))]. given #61 (A,wt=33): 47 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(x,x)),f(f(f(x,f(x,x)),f(y,z)),z))) = f(y,z). [para(22(a,1),9(a,1,2,2,1,1,1))]. given #62 (F,wt=15): 564 f(f(x,f(x,x)),f(x,f(f(x,x),y))) = x. [para(41(a,1),47(a,1,2,2,1)),rewrite(82(3),82(6),82(10),82(13),82(16),82(19),82(27),231(27),48(23),82(9),82(3),82(6)),flip(a)]. given #63 (F,wt=15): 577 f(f(x,f(x,x)),f(x,f(y,f(x,x)))) = x. [para(88(a,1),564(a,1,2,2))]. given #64 (T,wt=17): 576 f(f(f(x,x),x),f(f(x,x),f(x,y))) = f(x,x). [para(22(a,1),564(a,1,1,2)),rewrite(82(6))]. given #65 (T,wt=17): 590 f(f(f(x,x),x),f(f(x,x),f(y,x))) = f(x,x). [para(22(a,1),577(a,1,1,2)),rewrite(82(6))]. given #66 (A,wt=49): 49 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(z,x)),y),y),f(x,x)),f(f(x,u),f(f(f(f(f(f(x,x),v),u),u),f(x,x)),f(f(x,x),w)))))) = f(x,x). [para(22(a,1),10(a,1,1)),rewrite(22(3),22(11))]. given #67 (F,wt=25): 65 f(f(f(x,x),y),f(f(f(y,y),x),f(f(f(f(x,x),x),y),f(y,z)))) = y. [para(48(a,1),3(a,1,2,2,1,1,1))]. given #68 (F,wt=23): 634 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))),f(x,x)) = x. [para(65(a,1),88(a,1,2,1)),rewrite(65(19),65(21))]. given #69 (T,wt=23): 654 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))),f(x,x)) = x. [para(88(a,1),634(a,1,1,2,2))]. given #70 (T,wt=25): 102 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(u,y)))) = y. [para(88(a,1),3(a,1,2,2,2))]. given #71 (A,wt=51): 50 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,u),f(f(f(f(f(f(y,y),v),u),u),f(y,y)),f(f(y,y),w)))))) = f(y,y). [para(22(a,1),10(a,1,2,1,1)),rewrite(22(12))]. given #72 (F,wt=25): 103 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(x,x)) = x. [para(3(a,1),88(a,1,2,1)),rewrite(3(20),3(22))]. given #73 (F,wt=25): 116 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(f(x,x),z)))) = f(x,x). [para(22(a,1),7(a,1,2,1,1)),rewrite(103(11))]. given #74 (T,wt=25): 455 f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(x,x)) = x. [para(41(a,1),88(a,1,2,1)),rewrite(41(20),41(22))]. given #75 (T,wt=25): 457 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(z,y)))) = y. [para(88(a,1),41(a,1,2,2,2))]. given #76 (A,wt=41): 52 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(22(a,1),10(a,1,2,2,1,1,1))]. given #77 (F,wt=25): 571 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(x,z)))) = x. [para(564(a,1),3(a,1,2,2,1,1,1)),rewrite(231(7))]. given #78 (F,wt=25): 585 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(y,f(x,x)))),x),f(x,z)))) = x. [para(577(a,1),3(a,1,2,2,1,1,1)),rewrite(244(7))]. given #79 (T,wt=25): 636 f(f(f(x,x),y),f(f(f(y,y),x),f(f(f(f(x,x),x),y),f(z,y)))) = y. [para(88(a,1),65(a,1,2,2,2))]. given #80 (T,wt=25): 649 f(f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(22(a,1),634(a,1,1,1,1)),rewrite(82(12))]. given #81 (A,wt=41): 54 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),f(u,u)),f(f(f(u,f(u,u)),y),f(y,v)))))) = y. [para(22(a,1),10(a,1,2,2,2,2,1,1,1))]. given #82 (F,wt=25): 663 f(f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(22(a,1),654(a,1,1,1,1)),rewrite(82(12))]. given #83 (F,wt=25): 664 f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(z,x))),f(x,x)) = x. [para(22(a,1),654(a,1,1,2,1,1,1))]. given #84 (T,wt=25): 681 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(x,x)) = x. [para(102(a,1),88(a,1,2,1)),rewrite(102(20),102(22))]. given #85 (T,wt=25): 691 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x))))) = f(x,x). [para(74(a,1),102(a,1,2,2,1,1,1,1)),rewrite(201(9),82(3))]. given #86 (A,wt=35): 60 f(f(x,x),f(x,f(f(f(x,f(f(f(x,x),y),f(f(f(f(f(x,x),y),y),x),f(x,z)))),x),f(x,u)))) = x. [para(3(a,1),6(a,1,2,2,1,1,1))]. given #87 (F,wt=25): 737 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(564(a,1),102(a,1,2,2,1,1,1)),rewrite(231(7))]. given #88 (F,wt=19): 1010 f(f(f(x,x),x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(88(a,1),737(a,1,2))]. given #89 (T,wt=15): 1028 f(f(x,f(x,f(f(x,x),y))),x) = f(x,x). [para(1010(a,1),46(a,1,2,2,1)),rewrite(394(7),22(14)),flip(a)]. given #90 (T,wt=15): 1036 f(f(x,f(x,f(y,f(x,x)))),x) = f(x,x). [para(88(a,1),1028(a,1,1,2,2))]. given #91 (A,wt=29): 63 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(z,f(x,x))),y),y),x),f(x,u)))) = x. [para(48(a,1),3(a,1,1))]. given #92 (F,wt=17): 1034 f(f(f(x,x),f(f(x,x),f(x,y))),f(x,x)) = x. [para(22(a,1),1028(a,1,1,2,2,1)),rewrite(82(10))]. given #93 (F,wt=17): 1038 f(f(x,x),f(x,f(x,f(x,f(f(x,x),y))))) = x. [para(1028(a,1),234(a,1,1)),rewrite(1028(6),1028(7),82(4),1028(12),1028(13),82(10))]. given #94 (T,wt=17): 1052 f(f(f(x,x),f(f(x,x),f(y,x))),f(x,x)) = x. [para(22(a,1),1036(a,1,1,2,2,2)),rewrite(82(10))]. given #95 (T,wt=17): 1055 f(f(x,x),f(x,f(x,f(x,f(y,f(x,x)))))) = x. [para(1036(a,1),234(a,1,1)),rewrite(1036(6),1036(7),82(4),1036(12),1036(13),82(10))]. given #96 (A,wt=49): 64 f(f(x,f(y,f(x,x))),f(f(f(f(y,f(x,x)),f(y,f(x,x))),z),f(f(f(f(f(x,x),z),z),f(y,f(x,x))),f(f(y,f(x,x)),u)))) = f(y,f(x,x)). [para(48(a,1),3(a,1,2,2,1,1,1,1))]. given #97 (F,wt=21): 1078 f(x,f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))) = f(x,x). [para(1034(a,1),234(a,1,1)),rewrite(1034(7),1034(7),1034(15),1034(15))]. given #98 (F,wt=21): 1098 f(x,f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))) = f(x,x). [para(1052(a,1),234(a,1,1)),rewrite(1052(7),1052(7),1052(15),1052(15))]. given #99 (T,wt=25): 770 f(f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(x,u))),f(x,x)) = x. [para(88(a,1),103(a,1,1,2,1,1,1,1))]. given #100 (T,wt=23): 1141 f(f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z))),x) = f(x,x). [para(564(a,1),770(a,1,1,2,1,1,1)),rewrite(82(3),82(10),82(11))]. given #101 (A,wt=45): 66 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(x,y),f(u,f(f(x,y),f(x,y)))),z),z),f(x,y)),y))) = f(x,y). [para(48(a,1),9(a,1,1))]. given #102 (F,wt=23): 1142 f(f(f(x,f(x,f(y,f(x,x)))),f(x,f(f(x,x),z))),x) = f(x,x). [para(577(a,1),770(a,1,1,2,1,1,1)),rewrite(82(3),82(10),82(11))]. given #103 (F,wt=23): 1153 f(f(f(x,f(x,f(f(x,x),y))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(88(a,1),1141(a,1,1,2,2))]. given #104 (T,wt=23): 1175 f(f(f(x,f(x,f(y,f(x,x)))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(88(a,1),1142(a,1,1,2,2))]. given #105 (T,wt=25): 772 f(f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(74(a,1),103(a,1,1,2,1,1,1,1)),rewrite(82(3),82(12))]. given #106 (A,wt=45): 67 f(f(x,f(y,f(x,x))),f(f(f(f(y,f(x,x)),f(y,f(x,x))),z),f(f(f(f(f(x,x),z),z),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [para(48(a,1),9(a,1,2,2,1,1,1,1))]. given #107 (F,wt=25): 956 f(f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x))),f(x,x)) = x. [para(88(a,1),681(a,1,1,2,1,1,1,1))]. given #108 (F,wt=25): 958 f(f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(74(a,1),681(a,1,1,2,1,1,1,1)),rewrite(82(3),82(12))]. given #109 (T,wt=25): 1143 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(576(a,1),770(a,1,1,2,1,1,1)),rewrite(57(11))]. given #110 (T,wt=25): 1144 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(590(a,1),770(a,1,1,2,1,1,1)),rewrite(57(11))]. given #111 (A,wt=33): 68 f(f(f(x,x),f(y,z)),f(f(f(f(y,z),f(y,z)),x),f(f(f(f(x,x),x),f(y,z)),z))) = f(y,z). [para(48(a,1),9(a,1,2,2,1,1,1))]. given #112 (F,wt=25): 1154 f(f(x,x),f(x,f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z))))) = x. [para(1141(a,1),234(a,1,1)),rewrite(1141(10),1141(11),82(4),1141(20),1141(21),82(14))]. given #113 (F,wt=25): 1176 f(f(x,x),f(x,f(f(x,f(x,f(y,f(x,x)))),f(x,f(f(x,x),z))))) = x. [para(1142(a,1),234(a,1,1)),rewrite(1142(10),1142(11),82(4),1142(20),1142(21),82(14))]. given #114 (T,wt=25): 1182 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(22(a,1),1153(a,1,1,1,2,2,1)),rewrite(82(9),82(14))]. given #115 (T,wt=25): 1184 f(f(x,x),f(x,f(f(x,f(x,f(f(x,x),y))),f(x,f(z,f(x,x)))))) = x. [para(1153(a,1),234(a,1,1)),rewrite(1153(10),1153(11),82(4),1153(20),1153(21),82(14))]. given #116 (A,wt=45): 69 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(z,f(x,x))),y),y),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(x,w)))))) = x. [para(48(a,1),10(a,1,1))]. given #117 (F,wt=25): 1190 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(22(a,1),1175(a,1,1,1,2,2,2)),rewrite(82(9),82(14))]. given #118 (F,wt=25): 1192 f(f(x,x),f(x,f(f(x,f(x,f(y,f(x,x)))),f(x,f(z,f(x,x)))))) = x. [para(1175(a,1),234(a,1,1)),rewrite(1175(10),1175(11),82(4),1175(20),1175(21),82(14))]. given #119 (T,wt=27): 86 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(y,z)))) = y. [para(82(a,1),3(a,1,2,2,1,1))]. given #120 (T,wt=15): 1330 f(f(f(x,x),x),f(x,f(f(x,x),y))) = x. [para(86(a,1),47(a,1,2,2,1)),rewrite(82(3),88(6),22(6),462(7),82(4),88(7),22(7),82(10),88(13),22(13),22(21),231(21),48(17),82(3),82(3),88(6),22(6)),flip(a)]. given #121 (A,wt=41): 70 f(f(f(x,x),y),f(f(f(y,y),x),f(f(f(f(x,x),x),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(48(a,1),10(a,1,2,2,1,1,1))]. given #122 (F,wt=15): 1359 f(f(f(x,x),x),f(x,f(y,f(x,x)))) = x. [para(88(a,1),1330(a,1,2,2))]. given #123 (F,wt=17): 1349 f(f(x,f(x,x)),f(f(x,x),f(x,y))) = f(x,x). [para(86(a,1),68(a,1,2,2,1)),rewrite(88(8),48(6),463(8),88(7),48(5),88(13),48(11),48(17),210(18),22(16),88(8),48(6)),flip(a)]. given #124 (T,wt=17): 1392 f(f(x,f(x,x)),f(f(x,x),f(y,x))) = f(x,x). [para(22(a,1),1359(a,1,1,1)),rewrite(82(6))]. given #125 (T,wt=27): 640 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))))) = f(x,x). [para(65(a,1),227(a,1,1)),rewrite(65(11),65(11),65(22),65(22))]. given #126 (A,wt=39): 71 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(u,u),u),y),f(y,v)))))) = y. [para(48(a,1),10(a,1,2,2,2,2,1,1,1))]. given #127 (F,wt=27): 671 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))))) = f(x,x). [para(654(a,1),234(a,1,1)),rewrite(654(10),654(10),654(21),654(21))]. given #128 (F,wt=27): 680 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(z,y)))) = y. [para(82(a,1),102(a,1,2,2,1,1))]. given #129 (T,wt=27): 767 f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(x,z))),f(x,x)) = x. [para(82(a,1),103(a,1,1,2,1,1))]. given #130 (T,wt=23): 1589 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(1028(a,1),767(a,1,1,2,1)),rewrite(1035(11))]. given #131 (A,wt=29): 72 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(f(x,x),z)),y),y),x),f(x,u)))) = x. [para(57(a,1),3(a,1,1))]. given #132 (F,wt=23): 1590 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(1036(a,1),767(a,1,1,2,1)),rewrite(1053(11))]. given #133 (F,wt=23): 1598 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(88(a,1),1589(a,1,1,2,2))]. given #134 (T,wt=23): 1624 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(88(a,1),1590(a,1,1,2,2))]. given #135 (T,wt=25): 1591 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))),x) = f(x,x). [para(1034(a,1),767(a,1,1,2,1)),rewrite(82(3),1075(12),82(12))]. given #136 (A,wt=49): 73 f(f(x,f(f(x,x),y)),f(f(f(f(f(x,x),y),f(f(x,x),y)),z),f(f(f(f(f(x,x),z),z),f(f(x,x),y)),f(f(f(x,x),y),u)))) = f(f(x,x),y). [para(57(a,1),3(a,1,2,2,1,1,1,1))]. given #137 (F,wt=25): 1592 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))),x) = f(x,x). [para(1052(a,1),767(a,1,1,2,1)),rewrite(82(3),1096(12),82(12))]. given #138 (F,wt=25): 1630 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(22(a,1),1598(a,1,1,1,2,2,1)),rewrite(82(8),82(12))]. given #139 (T,wt=25): 1637 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(22(a,1),1624(a,1,1,1,2,2,2)),rewrite(82(8),82(12))]. given #140 (T,wt=27): 793 f(f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(22(a,1),455(a,1,1,1,1)),rewrite(82(13))]. given #141 (A,wt=45): 76 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(x,y),f(f(f(x,y),f(x,y)),u)),z),z),f(x,y)),y))) = f(x,y). [para(57(a,1),9(a,1,1))]. given #142 (F,wt=27): 880 f(f(x,x),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))))) = x. [para(649(a,1),234(a,1,1)),rewrite(649(11),649(12),82(4),649(22),649(23),82(15))]. given #143 (F,wt=27): 933 f(f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(22(a,1),663(a,1,1,2,1,1,1))]. given #144 (T,wt=27): 939 f(f(x,x),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))))) = x. [para(663(a,1),234(a,1,1)),rewrite(663(11),663(12),82(4),663(22),663(23),82(15))]. given #145 (T,wt=27): 954 f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(z,x))),f(x,x)) = x. [para(82(a,1),681(a,1,1,2,1,1))]. given #146 (A,wt=43): 77 f(f(x,f(f(x,x),y)),f(f(f(f(f(x,x),y),f(f(x,x),y)),z),f(f(f(f(f(x,x),z),z),f(f(x,x),y)),y))) = f(f(x,x),y). [para(57(a,1),9(a,1,2,2,1,1,1,1))]. given #147 (F,wt=15): 1722 f(f(x,f(f(x,x),x)),x) = f(f(x,x),x). [para(260(a,1),77(a,1,2,1)),rewrite(57(8),57(10),22(7))]. given #148 (F,wt=19): 1731 f(f(f(x,x),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(22(a,1),1722(a,1,1,2,1)),rewrite(82(9))]. given #149 (T,wt=25): 1740 f(f(f(x,x),x),f(f(x,f(x,f(f(x,x),x))),f(f(x,x),f(x,y)))) = x. [para(1722(a,1),86(a,1,1)),rewrite(1035(13),1028(11))]. given #150 (T,wt=21): 1784 f(f(x,f(x,f(f(x,x),x))),f(f(x,x),f(x,y))) = f(x,x). [para(1740(a,1),68(a,1,2,2,1)),rewrite(210(32),22(30),57(11)),flip(a)]. given #151 (A,wt=37): 78 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),y))) = f(x,y). [para(57(a,1),9(a,1,2,2,1,1))]. given #152 (F,wt=21): 1790 f(f(x,f(x,f(f(x,x),x))),f(f(x,x),f(y,x))) = f(x,x). [para(88(a,1),1784(a,1,2,2))]. given #153 (F,wt=23): 1787 f(f(f(x,x),f(f(x,x),f(x,f(x,x)))),f(x,f(f(x,x),y))) = x. [para(22(a,1),1784(a,1,1,2,2,1)),rewrite(82(9),82(13))]. given #154 (T,wt=23): 1813 f(f(f(x,x),f(f(x,x),f(x,f(x,x)))),f(x,f(y,f(x,x)))) = x. [para(22(a,1),1790(a,1,1,2,2,1)),rewrite(82(9),82(13))]. given #155 (T,wt=27): 1083 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x),f(x,z)))) = x. [para(1038(a,1),3(a,1,2,2,1,1,1)),rewrite(1038(8))]. given #156 (A,wt=45): 79 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(f(x,x),z)),y),y),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(x,w)))))) = x. [para(57(a,1),10(a,1,1))]. given #157 (F,wt=27): 1093 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x),f(z,x)))) = x. [para(1038(a,1),102(a,1,2,2,1,1,1)),rewrite(1038(8))]. given #158 (F,wt=21): 1833 f(f(x,x),f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x)) = x. [para(88(a,1),1093(a,1,2))]. given #159 (T,wt=21): 1844 f(f(x,x),f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x)) = x. [para(88(a,1),1833(a,1,2,1,2,2,2,2))]. given #160 (T,wt=27): 1103 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x),f(x,z)))) = x. [para(1055(a,1),3(a,1,2,2,1,1,1)),rewrite(1055(8))]. given #161 (A,wt=37): 80 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u)))))) = x. [para(57(a,1),10(a,1,2,2,1,1))]. given #162 (F,wt=27): 1113 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x),f(z,x)))) = x. [para(1055(a,1),102(a,1,2,2,1,1,1)),rewrite(1055(8))]. given #163 (F,wt=27): 1131 f(f(f(f(x,x),f(f(y,x),f(y,x))),f(f(f(y,x),x),f(x,z))),f(x,x)) = x. [para(82(a,1),770(a,1,1,2,1,1))]. given #164 (T,wt=27): 1211 f(f(f(f(x,x),f(f(y,x),f(y,x))),f(f(f(y,x),x),f(z,x))),f(x,x)) = x. [para(82(a,1),956(a,1,1,2,1,1))]. given #165 (T,wt=27): 1354 f(f(x,f(x,x)),f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z)))) = f(x,x). [para(1330(a,1),3(a,1,2,2,1,1,1)),rewrite(82(5),82(12))]. given #166 (A,wt=37): 81 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),y),f(f(f(y,y),y),f(y,u)))))) = y. [para(57(a,1),10(a,1,2,2,2,2,1,1))]. given #167 (F,wt=19): 1909 f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z))) = x. [para(1354(a,1),47(a,1,2,2,1)),rewrite(231(33),48(29),82(11)),flip(a)]. given #168 (F,wt=19): 1997 f(f(x,f(x,f(y,f(x,x)))),f(x,f(f(x,x),z))) = x. [para(88(a,1),1909(a,1,1,2,2))]. given #169 (T,wt=19): 1998 f(f(x,f(x,f(f(x,x),y))),f(x,f(z,f(x,x)))) = x. [para(88(a,1),1909(a,1,2,2))]. given #170 (T,wt=19): 2033 f(f(x,f(x,f(y,f(x,x)))),f(x,f(z,f(x,x)))) = x. [para(88(a,1),1997(a,1,2,2))]. given #171 (A,wt=49): 83 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(f(y,y),y),f(f(f(y,y),y),f(y,z)))),f(f(f(y,y),y),f(f(f(y,y),y),f(y,z)))),y),f(y,u)))) = y. [para(57(a,1),6(a,1,2,2,1,1,1,2,2,1,1)),rewrite(57(15))]. given #172 (F,wt=23): 1996 f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(x,z))) = f(x,x). [para(22(a,1),1909(a,1,1,2,2,1)),rewrite(82(9))]. given #173 (F,wt=23): 2032 f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(x,z))) = f(x,x). [para(22(a,1),1997(a,1,1,2,2,2)),rewrite(82(9))]. given #174 (T,wt=23): 2036 f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(z,x))) = f(x,x). [para(22(a,1),1998(a,1,1,2,2,1)),rewrite(82(9))]. given #175 (T,wt=23): 2043 f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(z,x))) = f(x,x). [para(22(a,1),2033(a,1,1,2,2,2)),rewrite(82(9))]. given #176 (A,wt=31): 84 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(x,z)),y),y),f(x,x)),f(f(x,x),u)))) = f(x,x). [para(82(a,1),3(a,1,1)),rewrite(82(3))]. given #177 (F,wt=27): 1600 f(x,f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))))) = f(x,x). [para(1589(a,1),234(a,1,1)),rewrite(1589(10),1589(10),1589(21),1589(21))]. given #178 (F,wt=27): 1626 f(x,f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))))) = f(x,x). [para(1590(a,1),234(a,1,1)),rewrite(1590(10),1590(10),1590(21),1590(21))]. given #179 (T,wt=27): 1633 f(x,f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))))) = f(x,x). [para(1598(a,1),234(a,1,1)),rewrite(1598(10),1598(10),1598(21),1598(21))]. given #180 (T,wt=27): 1640 f(x,f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))))) = f(x,x). [para(1624(a,1),234(a,1,1)),rewrite(1624(10),1624(10),1624(21),1624(21))]. given #181 (A,wt=37): 85 f(f(f(x,x),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),f(f(x,y),u)))) = f(x,y). [para(82(a,1),3(a,1,2,2,1,1,1,1))]. given #182 (F,wt=27): 1647 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))))) = x. [para(1591(a,1),234(a,1,1)),rewrite(1591(11),1591(12),82(4),1591(22),1591(23),82(15))]. given #183 (F,wt=27): 1657 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))))) = x. [para(1592(a,1),234(a,1,1)),rewrite(1592(11),1592(12),82(4),1592(22),1592(23),82(15))]. given #184 (T,wt=27): 1665 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))))) = x. [para(1630(a,1),234(a,1,1)),rewrite(1630(11),1630(12),82(4),1630(22),1630(23),82(15))]. given #185 (T,wt=27): 1671 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))))) = x. [para(1637(a,1),234(a,1,1)),rewrite(1637(11),1637(12),82(4),1637(22),1637(23),82(15))]. given #186 (A,wt=35): 87 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),y))) = f(y,z). [para(82(a,1),3(a,1,2,2,2))]. given #187 (F,wt=27): 2008 f(x,f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(f(x,x),z)))) = f(x,x). [para(1909(a,1),116(a,1,2,2,1,1))]. given #188 (F,wt=27): 2012 f(x,f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(z,f(x,x))))) = f(x,x). [para(1909(a,1),691(a,1,2,2,1,1))]. given #189 (T,wt=27): 2018 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(1909(a,1),772(a,1,1,2,1,1))]. given #190 (T,wt=27): 2022 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(1909(a,1),958(a,1,1,2,1,1))]. given #191 (A,wt=33): 89 f(f(f(x,x),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),y))) = f(x,y). [para(82(a,1),9(a,1,2,2,1,1,1,1))]. given #192 (F,wt=27): 2053 f(x,f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(f(x,x),z)))) = f(x,x). [para(2033(a,1),116(a,1,2,2,1,1))]. given #193 (F,wt=27): 2057 f(x,f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(z,f(x,x))))) = f(x,x). [para(2033(a,1),691(a,1,2,2,1,1))]. given #194 (T,wt=27): 2063 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(2033(a,1),772(a,1,1,2,1,1))]. given #195 (T,wt=27): 2067 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(2033(a,1),958(a,1,1,2,1,1))]. given #196 (A,wt=41): 90 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(f(f(y,z),x),f(f(y,z),x))),f(f(f(f(y,z),x),f(y,z)),z))) = f(y,z). [para(82(a,1),9(a,1,2,2,1,1))]. given #197 (F,wt=21): 2380 f(f(f(f(x,x),f(x,y)),f(f(x,x),x)),x) = f(f(x,x),x). [para(576(a,1),90(a,1,2,1,2,1)),rewrite(576(18),82(14),260(12),576(14),57(13),22(10))]. given #198 (F,wt=21): 2381 f(f(f(f(x,x),f(y,x)),f(f(x,x),x)),x) = f(f(x,x),x). [para(590(a,1),90(a,1,2,1,2,1)),rewrite(590(18),82(14),260(12),590(14),57(13),22(10))]. given #199 (T,wt=23): 2378 f(f(f(x,f(f(x,x),y)),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(564(a,1),90(a,1,2,1,2,1)),rewrite(564(17),278(13),564(14),82(13),48(9))]. given #200 (T,wt=23): 2379 f(f(f(x,f(y,f(x,x))),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(577(a,1),90(a,1,2,1,2,1)),rewrite(577(17),278(13),577(14),82(13),48(9))]. given #201 (A,wt=49): 91 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(x,z)),y),y),f(x,x)),f(f(x,u),f(f(f(f(f(f(x,x),v),u),u),f(x,x)),f(f(x,x),w)))))) = f(x,x). [para(82(a,1),10(a,1,1)),rewrite(82(3),82(11))]. given #202 (F,wt=25): 2420 f(f(x,x),f(f(f(x,x),f(f(x,x),x)),f(f(f(x,x),x),f(x,y)))) = x. [para(2381(a,1),3(a,1,2,2,1))]. given #203 (F,wt=25): 2431 f(x,f(f(x,f(x,f(x,x))),f(f(x,f(x,x)),f(f(x,x),y)))) = f(x,x). [para(2381(a,1),37(a,1,2,2,1)),rewrite(82(3),82(6))]. given #204 (T,wt=25): 2436 f(f(x,x),f(f(f(x,x),f(f(x,x),x)),f(f(f(x,x),x),f(y,x)))) = x. [para(2381(a,1),102(a,1,2,2,1))]. given #205 (T,wt=11): 2491 f(f(x,x),f(f(x,x),x)) = x. [para(22(a,1),2436(a,1,2))]. given #206 (A,wt=43): 92 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(82(a,1),10(a,1,2,2,1,1))]. given #207 (F,wt=11): 2498 f(x,f(x,f(x,x))) = f(x,x). [para(278(a,1),2436(a,1,2,2,2)),rewrite(82(3),82(3),82(3),82(6),22(9))]. given #208 (F,wt=17): 2493 f(f(x,x),f(x,f(f(f(x,x),x),f(y,x)))) = x. [para(2436(a,1),88(a,1,2,1)),rewrite(2491(4),2491(10),210(13),82(7),2491(5)),flip(a)]. given #209 (T,wt=17): 2535 f(f(x,x),f(x,f(f(f(x,x),x),f(x,y)))) = x. [back_rewrite(2420),rewrite(2491(5))]. given #210 (T,wt=21): 2546 f(x,f(f(x,x),f(f(x,f(x,x)),f(y,f(x,x))))) = f(x,x). [back_rewrite(2460),rewrite(2498(3))]. given #211 (A,wt=59): 93 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(y,v),v),f(y,z)),f(f(y,z),w)))))) = f(y,z). [para(82(a,1),10(a,1,2,2,2,2,1,1,1,1))]. given #212 (F,wt=21): 2548 f(x,f(f(x,x),f(f(x,f(x,x)),f(f(x,x),y)))) = f(x,x). [back_rewrite(2431),rewrite(2498(3))]. given #213 (F,wt=27): 2084 f(f(x,x),f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(x,z)))) = x. [para(1996(a,1),3(a,1,2,2,1,1))]. given #214 (T,wt=27): 2100 f(f(x,x),f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(z,x)))) = x. [para(1996(a,1),102(a,1,2,2,1,1))]. given #215 (T,wt=27): 2102 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(x,z))),f(x,x)) = x. [para(1996(a,1),103(a,1,1,2,1,1))]. given #216 (A,wt=43): 94 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),f(f(y,u),f(y,u))),f(f(f(y,u),y),f(y,v)))))) = y. [para(82(a,1),10(a,1,2,2,2,2,1,1))]. given #217 (F,wt=27): 2105 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(z,x))),f(x,x)) = x. [para(1996(a,1),681(a,1,1,2,1,1))]. given #218 (F,wt=27): 2118 f(f(x,x),f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(x,z)))) = x. [para(2043(a,1),3(a,1,2,2,1,1))]. given #219 (T,wt=27): 2128 f(f(x,x),f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(z,x)))) = x. [para(2043(a,1),102(a,1,2,2,1,1))]. given #220 (T,wt=27): 2130 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(x,z))),f(x,x)) = x. [para(2043(a,1),103(a,1,1,2,1,1))]. given #221 (A,wt=59): 95 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(f(f(y,z),w),v),v),f(y,z)),y))))) = f(y,z). [para(82(a,1),10(a,1,2,2,2,2,2))]. given #222 (F,wt=27): 2133 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(z,x))),f(x,x)) = x. [para(2043(a,1),681(a,1,1,2,1,1))]. given #223 (F,wt=27): 2504 f(f(x,x),f(x,f(f(f(x,f(x,f(f(f(x,x),x),f(y,x)))),x),f(z,x)))) = x. [para(2436(a,1),102(a,1,2,2,1,1,1)),rewrite(2491(6),2493(8),2491(5))]. given #224 (T,wt=21): 2815 f(f(x,x),f(f(x,f(x,f(f(f(x,x),x),f(y,x)))),x)) = x. [para(88(a,1),2504(a,1,2))]. given #225 (T,wt=27): 2506 f(f(x,x),f(x,f(f(f(x,f(x,f(f(f(x,x),x),f(y,x)))),x),f(x,z)))) = x. [para(2436(a,1),116(a,1,2,1)),rewrite(2491(6),2493(8),2491(5),82(10),82(11),82(15))]. given #226 (A,wt=49): 98 f(f(x,y),f(f(f(x,y),z),f(f(f(f(f(f(f(x,y),f(x,y)),y),z),z),f(f(x,y),f(x,y))),f(f(f(x,y),f(x,y)),u)))) = f(f(x,y),f(x,y)). [para(88(a,1),3(a,1,1)),rewrite(82(8))]. given #227 (F,wt=27): 2522 f(f(x,x),f(x,f(f(f(x,f(x,f(f(f(x,x),x),f(x,y)))),x),f(z,x)))) = x. [back_rewrite(2476),rewrite(2491(5))]. given #228 (F,wt=21): 2856 f(f(x,x),f(f(x,f(x,f(f(f(x,x),x),f(x,y)))),x)) = x. [para(88(a,1),2522(a,1,2))]. given #229 (T,wt=27): 2531 f(f(x,x),f(x,f(f(f(x,f(x,f(f(f(x,x),x),f(x,y)))),x),f(x,z)))) = x. [back_rewrite(2427),rewrite(2491(5))]. given #230 (T,wt=29): 272 f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(f(f(x,x),x),y),y),x),f(x,z)))) = x. [para(260(a,1),3(a,1,1)),rewrite(88(10))]. given #231 (A,wt=45): 99 f(f(x,y),f(f(z,f(y,y)),f(f(f(f(f(y,x),f(f(z,f(y,y)),f(z,f(y,y)))),f(f(z,f(y,y)),f(z,f(y,y)))),y),f(y,u)))) = y. [para(88(a,1),3(a,1,2,1))]. given #232 (F,wt=29): 296 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))))) = f(x,x). [para(3(a,1),227(a,1,1)),rewrite(3(11),3(11),3(23),3(23))]. given #233 (F,wt=29): 426 f(f(f(x,y),f(f(f(f(f(f(x,x),z),y),y),f(x,x)),f(f(x,x),u))),x) = f(x,x). [para(38(a,1),88(a,1,2,1)),rewrite(38(26),82(14),38(26))]. given #234 (T,wt=29): 460 f(x,f(f(x,x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))))) = f(x,x). [para(41(a,1),227(a,1,1)),rewrite(41(11),41(11),41(23),41(23))]. given #235 (T,wt=29): 597 f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(3(a,1),576(a,1,2,2))]. given #236 (A,wt=31): 100 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(y,u)))) = y. [para(88(a,1),3(a,1,2,2,1,1,1,1))]. given #237 (F,wt=29): 602 f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(82(a,1),576(a,1,2,2))]. given #238 (F,wt=19): 3045 f(f(x,f(x,x)),f(x,f(x,f(x,f(f(x,x),y))))) = x. [para(1028(a,1),602(a,1,1,1,1)),rewrite(1028(6),82(3),1028(5),1028(7),1028(8),82(5),1028(13),1028(14),82(11))]. given #239 (T,wt=19): 3046 f(f(x,f(x,x)),f(x,f(x,f(x,f(y,f(x,x)))))) = x. [para(1036(a,1),602(a,1,1,1,1)),rewrite(1036(6),82(3),1036(5),1036(7),1036(8),82(5),1036(13),1036(14),82(11))]. given #240 (T,wt=25): 3047 f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))) = f(x,x). [para(1034(a,1),602(a,1,1,1,1)),rewrite(1034(7),1034(8),1034(9),1034(9),1034(17),1034(17))]. given #241 (A,wt=45): 101 f(f(x,y),f(f(f(y,y),f(f(z,f(y,x)),f(z,f(y,x)))),f(f(f(f(z,f(y,x)),f(f(z,f(y,x)),f(z,f(y,x)))),y),f(y,u)))) = y. [para(88(a,1),3(a,1,2,2,1,1,1))]. given #242 (F,wt=25): 3048 f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))) = f(x,x). [para(1052(a,1),602(a,1,1,1,1)),rewrite(1052(7),1052(8),1052(9),1052(9),1052(17),1052(17))]. given #243 (F,wt=27): 3074 f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(f(x,x),z))),x) = f(x,x). [para(3045(a,1),770(a,1,1,2,1,1,1)),rewrite(82(3),82(14),82(13))]. given #244 (T,wt=27): 3076 f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(3045(a,1),956(a,1,1,2,1,1,1)),rewrite(82(3),82(14),82(13))]. given #245 (T,wt=27): 3084 f(f(f(x,f(x,f(x,f(f(x,x),y)))),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(3045(a,1),90(a,1,2,1,2,1)),rewrite(3045(21),278(15),3045(18),2498(13),82(13),48(11))]. given #246 (A,wt=45): 104 f(f(f(f(x,f(y,z)),f(x,f(y,z))),f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(x,f(y,z)),u),u),f(y,z)),z))) = f(y,z). [para(88(a,1),9(a,1,2,2,1,1,1,1))]. given #247 (F,wt=27): 3099 f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(x,f(f(x,x),z))),x) = f(x,x). [para(3046(a,1),770(a,1,1,2,1,1,1)),rewrite(82(3),82(14),82(13))]. given #248 (F,wt=27): 3101 f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(3046(a,1),956(a,1,1,2,1,1,1)),rewrite(82(3),82(14),82(13))]. given #249 (T,wt=27): 3109 f(f(f(x,f(x,f(x,f(y,f(x,x))))),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(3046(a,1),90(a,1,2,1,2,1)),rewrite(3046(21),278(15),3046(18),2498(13),82(13),48(11))]. given #250 (T,wt=29): 674 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(z,f(x,x))),y),y),x),f(u,x)))) = x. [para(48(a,1),102(a,1,1))]. given #251 (A,wt=37): 105 f(f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(x,y),u),z),z),f(x,y)),y)),f(f(x,y),f(x,y))) = f(x,y). [para(9(a,1),88(a,1,2,1)),rewrite(9(28),9(31))]. given #252 (F,wt=29): 676 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(f(x,x),z)),y),y),x),f(u,x)))) = x. [para(57(a,1),102(a,1,1))]. given #253 (F,wt=29): 701 f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(f(f(x,x),x),y),y),x),f(z,x)))) = x. [para(260(a,1),102(a,1,1)),rewrite(88(10))]. given #254 (T,wt=29): 707 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))))) = f(x,x). [para(102(a,1),227(a,1,1)),rewrite(102(11),102(11),102(23),102(23))]. given #255 (T,wt=29): 813 f(x,f(f(x,x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(z,x))))) = f(x,x). [para(457(a,1),227(a,1,1)),rewrite(457(11),457(11),457(23),457(23))]. given #256 (A,wt=47): 106 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(88(a,1),10(a,1,2,2,1,1,1,1))]. given #257 (F,wt=29): 951 f(f(f(x,y),f(f(f(f(f(f(x,x),z),y),y),f(x,x)),f(u,f(x,x)))),x) = f(x,x). [para(22(a,1),681(a,1,1,1,1)),rewrite(82(14))]. given #258 (F,wt=29): 1073 f(f(f(f(x,y),f(x,y)),f(f(f(x,y),f(x,y)),y)),f(f(x,y),f(x,y))) = f(x,y). [para(3(a,1),1034(a,1,1,2,2))]. given #259 (T,wt=29): 1076 f(f(f(f(x,y),f(x,y)),f(f(f(x,y),f(x,y)),x)),f(f(x,y),f(x,y))) = f(x,y). [para(82(a,1),1034(a,1,1,2,2))]. given #260 (T,wt=19): 3460 f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x) = f(x,x). [para(1028(a,1),1076(a,1,1,1,1)),rewrite(1028(6),82(3),1028(5),1028(6),82(3),1028(11),1028(12),82(9),1028(12))]. given #261 (A,wt=41): 107 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(v,y),u),u),y),f(y,w)))))) = y. [para(88(a,1),10(a,1,2,2,2,2,1,1,1,1))]. given #262 (F,wt=19): 3461 f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x) = f(x,x). [para(1036(a,1),1076(a,1,1,1,1)),rewrite(1036(6),82(3),1036(5),1036(6),82(3),1036(11),1036(12),82(9),1036(12))]. given #263 (F,wt=21): 3492 f(f(x,x),f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))) = x. [para(3460(a,1),234(a,1,1)),rewrite(3460(8),3460(9),82(4),3460(16),3460(17),82(12))]. given #264 (T,wt=21): 3589 f(f(x,x),f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))) = x. [para(3461(a,1),234(a,1,1)),rewrite(3461(8),3461(9),82(4),3461(16),3461(17),82(12))]. given #265 (T,wt=23): 3509 f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))) = x. [para(3460(a,1),602(a,1,1,1,1)),rewrite(3460(8),82(3),3460(7),3460(9),3460(10),82(5),3460(17),3460(18),82(13))]. given #266 (A,wt=41): 108 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(w,y)))))) = y. [para(88(a,1),10(a,1,2,2,2,2,2))]. given #267 (F,wt=23): 3510 f(f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))),x) = f(x,x). [para(3460(a,1),1076(a,1,1,1,1)),rewrite(3460(8),82(3),3460(7),3460(8),82(3),3460(15),3460(16),82(11),3460(16))]. given #268 (F,wt=23): 3606 f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))) = x. [para(3461(a,1),602(a,1,1,1,1)),rewrite(3461(8),82(3),3461(7),3461(9),3461(10),82(5),3461(17),3461(18),82(13))]. given #269 (T,wt=23): 3607 f(f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))),x) = f(x,x). [para(3461(a,1),1076(a,1,1,1,1)),rewrite(3461(8),82(3),3461(7),3461(8),82(3),3461(15),3461(16),82(11),3461(16))]. given #270 (T,wt=25): 3462 f(f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))),f(x,x)) = x. [para(1034(a,1),1076(a,1,1,1,1)),rewrite(1034(7),1034(8),1034(8),1034(16),1034(16),1034(18))]. given #271 (A,wt=41): 109 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(x,w))))),f(x,x)) = x. [para(10(a,1),88(a,1,2,1)),rewrite(10(36),10(38))]. given #272 (F,wt=25): 3463 f(f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))),f(x,x)) = x. [para(1052(a,1),1076(a,1,1,1,1)),rewrite(1052(7),1052(8),1052(8),1052(16),1052(16),1052(18))]. given #273 (F,wt=25): 3720 f(f(x,x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))) = x. [para(3510(a,1),234(a,1,1)),rewrite(3510(10),3510(11),82(4),3510(20),3510(21),82(14))]. given #274 (T,wt=25): 3753 f(f(x,x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))) = x. [para(3607(a,1),234(a,1,1)),rewrite(3607(10),3607(11),82(4),3607(20),3607(21),82(14))]. given #275 (T,wt=27): 3499 f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(3460(a,1),767(a,1,1,2,1)),rewrite(3491(15))]. given #276 (A,wt=57): 110 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(u,y)))),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(u,y)))),y),f(y,v)))) = y. [para(88(a,1),6(a,1,2,2,1,1,1,2,2,2)),rewrite(88(22))]. given #277 (F,wt=27): 3500 f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(3460(a,1),954(a,1,1,2,1)),rewrite(3491(15))]. given #278 (F,wt=27): 3596 f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(3461(a,1),767(a,1,1,2,1)),rewrite(3588(15))]. given #279 (T,wt=27): 3597 f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(3461(a,1),954(a,1,1,2,1)),rewrite(3588(15))]. given #280 (T,wt=27): 3733 f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))) = x. [para(3510(a,1),602(a,1,1,1,1)),rewrite(3510(10),82(3),3510(9),3510(11),3510(12),82(5),3510(21),3510(22),82(15))]. given #281 (A,wt=57): 111 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(y,u)))),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(y,u)))),y),f(v,y)))) = y. [para(88(a,1),6(a,1,2,2,2))]. given #282 (F,wt=27): 3734 f(f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))),x) = f(x,x). [para(3510(a,1),1076(a,1,1,1,1)),rewrite(3510(10),82(3),3510(9),3510(10),82(3),3510(19),3510(20),82(13),3510(20))]. given #283 (F,wt=27): 3766 f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))) = x. [para(3607(a,1),602(a,1,1,1,1)),rewrite(3607(10),82(3),3607(9),3607(11),3607(12),82(5),3607(21),3607(22),82(15))]. given #284 (T,wt=27): 3767 f(f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))),x) = f(x,x). [para(3607(a,1),1076(a,1,1,1,1)),rewrite(3607(10),82(3),3607(9),3607(10),82(3),3607(19),3607(20),82(13),3607(20))]. given #285 (T,wt=29): 1129 f(f(f(x,y),f(f(f(f(f(z,f(x,x)),y),y),f(x,x)),f(f(x,x),u))),x) = f(x,x). [para(22(a,1),770(a,1,1,1,1)),rewrite(82(14))]. given #286 (A,wt=53): 113 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),f(f(y,x),v)))) = f(y,x). [para(22(a,1),7(a,1,1,1,2,1,1,1))]. given #287 (F,wt=29): 1138 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(x,u))))) = f(x,x). [para(770(a,1),234(a,1,1)),rewrite(770(11),770(11),770(23),770(23))]. given #288 (F,wt=29): 1210 f(f(f(x,y),f(f(f(f(f(z,f(x,x)),y),y),f(x,x)),f(u,f(x,x)))),x) = f(x,x). [para(22(a,1),956(a,1,1,1,1)),rewrite(82(14))]. given #289 (T,wt=29): 1217 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x))))) = f(x,x). [para(956(a,1),234(a,1,1)),rewrite(956(11),956(11),956(23),956(23))]. given #290 (T,wt=29): 1341 f(f(f(x,f(f(x,x),y)),x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z)))) = x. [para(1028(a,1),86(a,1,2,2,1)),rewrite(1035(15))]. given #291 (A,wt=55): 119 f(f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),f(f(y,x),v)))) = f(y,x). [para(82(a,1),7(a,1,1,1,2,1,1))]. given #292 (F,wt=29): 1343 f(f(f(x,f(y,f(x,x))),x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z)))) = x. [para(1036(a,1),86(a,1,2,2,1)),rewrite(1053(15))]. given #293 (F,wt=29): 1413 f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(3(a,1),1349(a,1,2,2))]. given #294 (T,wt=29): 1420 f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(82(a,1),1349(a,1,2,2))]. given #295 (T,wt=19): 4039 f(f(f(x,x),x),f(x,f(x,f(x,f(f(x,x),y))))) = x. [para(1028(a,1),1420(a,1,1,1)),rewrite(1028(6),1028(7),82(4),1028(7),1028(8),82(5),1028(13),1028(14),82(11))]. given #296 (A,wt=51): 121 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),f(x,x)),f(f(x,f(z,x)),f(f(z,x),v)))) = f(z,x). [para(82(a,1),7(a,1,2,2,1,1))]. given #297 (F,wt=19): 4040 f(f(f(x,x),x),f(x,f(x,f(x,f(y,f(x,x)))))) = x. [para(1036(a,1),1420(a,1,1,1)),rewrite(1036(6),1036(7),82(4),1036(7),1036(8),82(5),1036(13),1036(14),82(11))]. given #298 (F,wt=23): 4063 f(f(f(x,x),x),f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))) = x. [para(3460(a,1),1420(a,1,1,1)),rewrite(3460(8),3460(9),82(4),3460(9),3460(10),82(5),3460(17),3460(18),82(13))]. given #299 (T,wt=23): 4064 f(f(f(x,x),x),f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))) = x. [para(3461(a,1),1420(a,1,1,1)),rewrite(3461(8),3461(9),82(4),3461(9),3461(10),82(5),3461(17),3461(18),82(13))]. given #300 (T,wt=25): 4041 f(f(x,f(x,x)),f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))) = f(x,x). [para(1034(a,1),1420(a,1,1,1)),rewrite(1034(7),1034(7),1034(9),1034(9),1034(17),1034(17))]. given #301 (A,wt=49): 122 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),z))) = f(z,x). [para(82(a,1),7(a,1,2,2,2))]. given #302 (F,wt=25): 4042 f(f(x,f(x,x)),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))) = f(x,x). [para(1052(a,1),1420(a,1,1,1)),rewrite(1052(7),1052(7),1052(9),1052(9),1052(17),1052(17))]. given #303 (F,wt=27): 4065 f(f(f(x,x),x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))) = x. [para(3510(a,1),1420(a,1,1,1)),rewrite(3510(10),3510(11),82(4),3510(11),3510(12),82(5),3510(21),3510(22),82(15))]. given #304 (T,wt=27): 4066 f(f(f(x,x),x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))) = x. [para(3607(a,1),1420(a,1,1,1)),rewrite(3607(10),3607(11),82(4),3607(11),3607(12),82(5),3607(21),3607(22),82(15))]. given #305 (T,wt=29): 1564 f(f(f(x,f(f(x,x),y)),x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x)))) = x. [para(1028(a,1),680(a,1,2,2,1)),rewrite(1035(15))]. given #306 (A,wt=37): 123 f(f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),f(f(x,y),u))),f(f(x,y),f(x,y))) = f(x,y). [para(7(a,1),88(a,1,2,1)),rewrite(7(37),7(40))]. given #307 (F,wt=29): 1566 f(f(f(x,f(y,f(x,x))),x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x)))) = x. [para(1036(a,1),680(a,1,2,2,1)),rewrite(1053(15))]. given #308 (F,wt=29): 1677 f(f(x,x),f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(f(x,x),z))))) = x. [para(793(a,1),234(a,1,1)),rewrite(793(12),793(13),82(4),793(24),793(25),82(16))]. given #309 (T,wt=29): 1702 f(f(x,x),f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(z,f(x,x)))))) = x. [para(933(a,1),234(a,1,1)),rewrite(933(12),933(13),82(4),933(24),933(25),82(16))]. given #310 (T,wt=29): 2526 f(f(f(x,y),f(x,y)),f(f(x,y),f(f(f(f(x,y),f(x,y)),f(x,y)),x))) = f(x,y). [back_rewrite(2452),rewrite(2491(12))]. given #311 (A,wt=53): 124 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),f(f(z,x),w)))) = f(z,x). [para(88(a,1),7(a,1,1,1,2,2))]. given #312 (F,wt=25): 4381 f(x,f(f(x,x),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),y)))))) = f(x,x). [para(1028(a,1),2526(a,1,1,1)),rewrite(1028(6),82(3),1028(5),1028(6),1028(7),82(4),1028(6),1028(15))]. given #313 (F,wt=25): 4382 f(x,f(f(x,x),f(f(x,f(x,x)),f(x,f(x,f(y,f(x,x))))))) = f(x,x). [para(1036(a,1),2526(a,1,1,1)),rewrite(1036(6),82(3),1036(5),1036(6),1036(7),82(4),1036(6),1036(15))]. given #314 (T,wt=25): 4383 f(f(x,x),f(x,f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(x,y)))))) = x. [para(1034(a,1),2526(a,1,1,1)),rewrite(1034(7),1034(8),1034(8),1034(8),1034(9),1034(18))]. given #315 (T,wt=25): 4384 f(f(x,x),f(x,f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(y,x)))))) = x. [para(1052(a,1),2526(a,1,1,1)),rewrite(1052(7),1052(8),1052(8),1052(8),1052(9),1052(18))]. given #316 (A,wt=53): 125 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),f(w,f(z,x))))) = f(z,x). [para(88(a,1),7(a,1,2,2,2))]. given #317 (F,wt=29): 2527 f(f(x,x),f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))))) = x. [back_rewrite(2450),rewrite(2491(5))]. given #318 (F,wt=29): 2534 f(f(f(x,y),f(x,y)),f(f(x,y),f(f(f(f(x,y),f(x,y)),f(x,y)),y))) = f(x,y). [back_rewrite(2421),rewrite(2491(12))]. given #319 (T,wt=29): 2536 f(f(f(f(x,x),x),f(f(x,x),x)),f(f(f(x,x),x),f(x,f(x,x)))) = f(f(x,x),x). [back_rewrite(2223),rewrite(2491(11))]. given #320 (T,wt=29): 2537 f(f(x,f(f(x,x),x)),f(f(f(x,x),x),f(x,f(f(f(x,x),x),y)))) = f(f(x,x),x). [back_rewrite(1654),rewrite(2491(9))]. given #321 (A,wt=49): 126 f(f(x,y),f(f(f(x,y),z),f(f(f(f(f(f(f(x,y),f(x,y)),x),z),z),f(f(x,y),f(x,y))),f(f(f(x,y),f(x,y)),u)))) = f(f(x,y),f(x,y)). [para(97(a,1),3(a,1,1)),rewrite(82(8))]. given #322 (F,wt=25): 4520 f(f(x,f(f(x,x),x)),f(f(f(x,x),x),f(x,f(x,x)))) = f(f(x,x),x). [para(57(a,1),2537(a,1,2,2,2))]. given #323 (F,wt=27): 4530 f(f(f(x,x),f(x,f(x,x))),f(f(x,f(x,x)),f(f(x,x),x))) = f(x,f(x,x)). [para(22(a,1),4520(a,1,1,2,1)),rewrite(82(7),82(10),82(13))]. given #324 (T,wt=29): 2549 f(f(f(x,f(x,x)),f(x,f(x,x))),f(f(x,f(x,x)),f(f(x,x),x))) = f(x,f(x,x)). [back_rewrite(2228),rewrite(2498(10))]. given #325 (T,wt=29): 2559 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(y,y),y)),f(f(y,y),y)),y),f(y,z)))) = y. [para(2491(a,1),3(a,1,2,1))]. given #326 (A,wt=45): 127 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),f(f(f(y,y),z),f(f(y,y),z))),f(f(f(y,y),z),f(f(y,y),z))),y),f(y,u)))) = y. [para(97(a,1),3(a,1,2,1))]. given #327 (F,wt=29): 2576 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(y,y),y)),f(f(y,y),y)),y),f(z,y)))) = y. [para(2491(a,1),102(a,1,2,1))]. given #328 (F,wt=23): 4654 f(f(x,y),f(f(f(f(y,x),f(f(y,y),y)),f(f(y,y),y)),y)) = y. [para(88(a,1),2576(a,1,2))]. given #329 (T,wt=23): 4742 f(f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)),x) = f(x,x). [para(4654(a,1),46(a,1,2,2,1)),rewrite(22(33),57(12)),flip(a)]. given #330 (T,wt=23): 4743 f(f(f(f(f(x,x),x),f(x,f(x,x))),f(x,f(x,x))),f(x,x)) = x. [para(4654(a,1),47(a,1,2,2,1)),rewrite(82(5),82(8),82(16),82(19),82(26),82(29),82(37),48(35),82(13),82(5),82(8)),flip(a)]. given #331 (A,wt=31): 128 f(f(f(f(x,y),f(x,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))) = x. [para(97(a,1),3(a,1,2,2,1,1,1,1))]. given #332 (F,wt=25): 4831 f(f(x,x),f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(4742(a,1),234(a,1,1)),rewrite(4742(10),4742(11),82(4),4742(20),4742(21),82(14))]. given #333 (F,wt=27): 4729 f(f(x,x),f(f(f(f(x,f(y,f(x,x))),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(48(a,1),4654(a,1,1))]. given #334 (T,wt=27): 4731 f(f(f(x,x),x),f(f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(48(a,1),4654(a,1,2,1,1)),rewrite(260(6))]. given #335 (T,wt=23): 4921 f(f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)),x) = f(x,x). [para(4731(a,1),46(a,1,2,2,1)),rewrite(22(33),57(12)),flip(a)]. given #336 (A,wt=45): 129 f(f(x,y),f(f(f(y,y),f(f(f(y,x),z),f(f(y,x),z))),f(f(f(f(f(y,x),z),f(f(f(y,x),z),f(f(y,x),z))),y),f(y,u)))) = y. [para(97(a,1),3(a,1,2,2,1,1,1))]. given #337 (F,wt=23): 4922 f(f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))),f(x,x)) = x. [para(4731(a,1),67(a,1,2,2,1)),rewrite(82(3),82(5),82(8),82(14),82(16),82(19),82(24),82(26),82(29),82(37),48(35),82(13),82(3),82(5),82(8)),flip(a)]. given #338 (F,wt=25): 4935 f(f(x,x),f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(4921(a,1),234(a,1,1)),rewrite(4921(10),4921(11),82(4),4921(20),4921(21),82(14))]. given #339 (T,wt=27): 4732 f(f(x,x),f(f(f(f(x,f(f(x,x),y)),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(57(a,1),4654(a,1,1))]. given #340 (T,wt=27): 4839 f(f(x,f(x,x)),f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(4742(a,1),602(a,1,1,1,1)),rewrite(4742(10),82(3),4742(9),4742(11),4742(12),82(5),4742(21),4742(22),82(15))]. given #341 (A,wt=45): 130 f(f(f(f(f(x,y),z),f(f(x,y),z)),f(x,y)),f(f(f(f(x,y),f(x,y)),u),f(f(f(f(f(f(x,y),z),u),u),f(x,y)),y))) = f(x,y). [para(97(a,1),9(a,1,2,2,1,1,1,1))]. given #342 (F,wt=27): 4840 f(f(x,f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))),x) = f(x,x). [para(4742(a,1),1076(a,1,1,1,1)),rewrite(4742(10),82(3),4742(9),4742(10),82(3),4742(19),4742(20),82(13),4742(20))]. given #343 (F,wt=27): 4843 f(f(f(x,x),x),f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(4742(a,1),1420(a,1,1,1)),rewrite(4742(10),4742(11),82(4),4742(11),4742(12),82(5),4742(21),4742(22),82(15))]. given #344 (T,wt=27): 4851 f(x,f(f(x,x),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,f(x,x))))) = f(x,x). [para(4743(a,1),234(a,1,1)),rewrite(4743(10),4743(10),4743(21),4743(21))]. given #345 (T,wt=27): 4944 f(f(x,f(x,x)),f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(4921(a,1),602(a,1,1,1,1)),rewrite(4921(10),82(3),4921(9),4921(11),4921(12),82(5),4921(21),4921(22),82(15))]. given #346 (A,wt=47): 131 f(f(f(f(x,y),f(x,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(x,w)))))) = x. [para(97(a,1),10(a,1,2,2,1,1,1,1))]. given #347 (F,wt=27): 4945 f(f(x,f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))),x) = f(x,x). [para(4921(a,1),1076(a,1,1,1,1)),rewrite(4921(10),82(3),4921(9),4921(10),82(3),4921(19),4921(20),82(13),4921(20))]. given #348 (F,wt=27): 4948 f(f(f(x,x),x),f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(4921(a,1),1420(a,1,1,1)),rewrite(4921(10),4921(11),82(4),4921(11),4921(12),82(5),4921(21),4921(22),82(15))]. given #349 (T,wt=27): 4956 f(x,f(f(x,x),f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))))) = f(x,x). [para(4922(a,1),234(a,1,1)),rewrite(4922(10),4922(10),4922(21),4922(21))]. given #350 (T,wt=29): 2827 f(x,f(f(f(x,x),f(f(x,x),f(f(x,f(x,x)),f(y,f(x,x))))),f(x,x))) = f(x,x). [para(22(a,1),2815(a,1,1)),rewrite(82(5))]. given #351 (A,wt=57): 172 f(f(x,y),f(f(f(y,y),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z)))),f(f(f(x,f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z)))),y),f(y,u)))) = y. [para(22(a,1),8(a,1,2,1,2,2,1,1,1)),rewrite(22(18))]. given #352 (F,wt=29): 2869 f(x,f(f(f(x,x),f(f(x,x),f(f(x,f(x,x)),f(f(x,x),y)))),f(x,x))) = f(x,x). [para(22(a,1),2856(a,1,1)),rewrite(82(5))]. given #353 (F,wt=29): 3043 f(f(x,f(x,x)),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))))) = x. [para(649(a,1),602(a,1,1,1,1)),rewrite(649(11),82(3),649(10),649(12),649(13),82(5),649(23),649(24),82(16))]. given #354 (T,wt=29): 3044 f(f(x,f(x,x)),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))))) = x. [para(663(a,1),602(a,1,1,1,1)),rewrite(663(11),82(3),663(10),663(12),663(13),82(5),663(23),663(24),82(16))]. given #355 (T,wt=29): 3054 f(f(x,f(x,x)),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))))) = x. [para(1591(a,1),602(a,1,1,1,1)),rewrite(1591(11),82(3),1591(10),1591(12),1591(13),82(5),1591(23),1591(24),82(16))]. given #356 (A,wt=59): 174 f(f(x,f(y,y)),f(f(y,f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z)))),f(f(f(x,f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z)))),f(y,y)),f(f(y,y),u)))) = f(y,y). [para(48(a,1),8(a,1,2,1,2,2,1,1,1)),rewrite(82(5),48(16))]. given #357 (F,wt=29): 3055 f(f(x,f(x,x)),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))))) = x. [para(1592(a,1),602(a,1,1,1,1)),rewrite(1592(11),82(3),1592(10),1592(12),1592(13),82(5),1592(23),1592(24),82(16))]. given #358 (F,wt=29): 3056 f(f(x,f(x,x)),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))))) = x. [para(1630(a,1),602(a,1,1,1,1)),rewrite(1630(11),82(3),1630(10),1630(12),1630(13),82(5),1630(23),1630(24),82(16))]. given #359 (T,wt=29): 3057 f(f(x,f(x,x)),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))))) = x. [para(1637(a,1),602(a,1,1,1,1)),rewrite(1637(11),82(3),1637(10),1637(12),1637(13),82(5),1637(23),1637(24),82(16))]. given #360 (T,wt=29): 3126 f(f(f(f(x,x),f(f(x,x),f(f(x,x),f(x,y)))),f(f(x,x),x)),x) = f(f(x,x),x). [para(3047(a,1),90(a,1,2,1,2,1)),rewrite(3047(26),82(18),260(16),3047(22),2491(16),22(14))]. given #361 (A,wt=31): 175 f(f(x,x),f(x,f(f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))),x),f(x,z)))) = x. [para(57(a,1),8(a,1,2,1,2,2,1,1)),rewrite(74(10),57(6))]. given #362 (F,wt=29): 3143 f(f(f(f(x,x),f(f(x,x),f(f(x,x),f(y,x)))),f(f(x,x),x)),x) = f(f(x,x),x). [para(3048(a,1),90(a,1,2,1,2,1)),rewrite(3048(26),82(18),260(16),3048(22),2491(16),22(14))]. given #363 (F,wt=29): 3146 f(f(x,x),f(x,f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(f(x,x),z))))) = x. [para(3074(a,1),234(a,1,1)),rewrite(3074(12),3074(13),82(4),3074(24),3074(25),82(16))]. given #364 (T,wt=29): 3154 f(f(x,x),f(x,f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(z,f(x,x)))))) = x. [para(3076(a,1),234(a,1,1)),rewrite(3076(12),3076(13),82(4),3076(24),3076(25),82(16))]. given #365 (T,wt=29): 3180 f(f(f(f(x,f(f(x,x),x)),f(x,f(f(x,x),x))),f(f(x,x),x)),x) = f(f(x,x),x). [para(1722(a,1),104(a,1,2,2,1,1,1)),rewrite(260(16),57(15),2491(16),22(14))]. given #366 (A,wt=57): 178 f(f(f(f(x,x),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))),f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))),x),f(x,v))),f(x,x)) = x. [para(8(a,1),88(a,1,2,1)),rewrite(8(52),8(54))]. given #367 (F,wt=29): 3207 f(f(x,x),f(x,f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(x,f(f(x,x),z))))) = x. [para(3099(a,1),234(a,1,1)),rewrite(3099(12),3099(13),82(4),3099(24),3099(25),82(16))]. given #368 (F,wt=29): 3215 f(f(x,x),f(x,f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(x,f(z,f(x,x)))))) = x. [para(3101(a,1),234(a,1,1)),rewrite(3101(12),3101(13),82(4),3101(24),3101(25),82(16))]. given #369 (T,wt=29): 3458 f(f(x,f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))))),x) = f(x,x). [para(649(a,1),1076(a,1,1,1,1)),rewrite(649(11),82(3),649(10),649(11),82(3),649(21),649(22),82(14),649(22))]. given #370 (T,wt=29): 3459 f(f(x,f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))))),x) = f(x,x). [para(663(a,1),1076(a,1,1,1,1)),rewrite(663(11),82(3),663(10),663(11),82(3),663(21),663(22),82(14),663(22))]. given #371 (A,wt=57): 179 f(f(x,y),f(f(f(y,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))),y),f(y,v)))) = y. [para(88(a,1),8(a,1,2,1,2,2,2)),rewrite(88(22))]. given #372 (F,wt=29): 3471 f(f(x,f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))))),x) = f(x,x). [para(1591(a,1),1076(a,1,1,1,1)),rewrite(1591(11),82(3),1591(10),1591(11),82(3),1591(21),1591(22),82(14),1591(22))]. given #373 (F,wt=29): 3472 f(f(x,f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))))),x) = f(x,x). [para(1592(a,1),1076(a,1,1,1,1)),rewrite(1592(11),82(3),1592(10),1592(11),82(3),1592(21),1592(22),82(14),1592(22))]. given #374 (T,wt=29): 3473 f(f(x,f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))))),x) = f(x,x). [para(1630(a,1),1076(a,1,1,1,1)),rewrite(1630(11),82(3),1630(10),1630(11),82(3),1630(21),1630(22),82(14),1630(22))]. given #375 (T,wt=29): 3474 f(f(x,f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))))),x) = f(x,x). [para(1637(a,1),1076(a,1,1,1,1)),rewrite(1637(11),82(3),1637(10),1637(11),82(3),1637(21),1637(22),82(14),1637(22))]. given #376 (A,wt=57): 180 f(f(x,y),f(f(f(y,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))),y),f(v,y)))) = y. [para(88(a,1),8(a,1,2,2,2))]. given #377 (F,wt=29): 3610 f(x,f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))))) = f(x,x). [para(22(a,1),3492(a,1,1)),rewrite(82(8))]. given #378 (F,wt=29): 3621 f(x,f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))))) = f(x,x). [para(22(a,1),3589(a,1,1)),rewrite(82(8))]. given #379 (T,wt=29): 3870 f(f(x,x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))))) = x. [para(3734(a,1),234(a,1,1)),rewrite(3734(12),3734(13),82(4),3734(24),3734(25),82(16))]. given #380 (T,wt=29): 3890 f(f(x,x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))))) = x. [para(3767(a,1),234(a,1,1)),rewrite(3767(12),3767(13),82(4),3767(24),3767(25),82(16))]. given #381 (A,wt=55): 194 f(f(f(x,y),f(x,y)),f(f(x,y),f(f(f(f(x,y),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(x,y),z)))),f(x,y)),y))) = f(x,y). [para(74(a,1),9(a,1,2,2,1,1,1)),rewrite(74(21))]. given #382 (F,wt=29): 4037 f(f(f(x,x),x),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))))) = x. [para(649(a,1),1420(a,1,1,1)),rewrite(649(11),649(12),82(4),649(12),649(13),82(5),649(23),649(24),82(16))]. given #383 (F,wt=29): 4038 f(f(f(x,x),x),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))))) = x. [para(663(a,1),1420(a,1,1,1)),rewrite(663(11),663(12),82(4),663(12),663(13),82(5),663(23),663(24),82(16))]. given #384 (T,wt=29): 4046 f(f(f(x,x),x),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))))) = x. [para(1591(a,1),1420(a,1,1,1)),rewrite(1591(11),1591(12),82(4),1591(12),1591(13),82(5),1591(23),1591(24),82(16))]. given #385 (T,wt=29): 4047 f(f(f(x,x),x),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))))) = x. [para(1592(a,1),1420(a,1,1,1)),rewrite(1592(11),1592(12),82(4),1592(12),1592(13),82(5),1592(23),1592(24),82(16))]. given #386 (A,wt=47): 195 f(f(x,x),f(x,f(f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))),x),f(f(f(x,x),z),f(f(f(f(f(x,u),z),z),x),f(x,v)))))) = x. [para(74(a,1),10(a,1,2,2,1,1,1)),rewrite(74(10))]. given #387 (F,wt=29): 4048 f(f(f(x,x),x),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))))) = x. [para(1630(a,1),1420(a,1,1,1)),rewrite(1630(11),1630(12),82(4),1630(12),1630(13),82(5),1630(23),1630(24),82(16))]. given #388 (F,wt=29): 4049 f(f(f(x,x),x),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))))) = x. [para(1637(a,1),1420(a,1,1,1)),rewrite(1637(11),1637(12),82(4),1637(12),1637(13),82(5),1637(23),1637(24),82(16))]. given #389 (T,wt=29): 4211 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(x,f(x,f(f(x,x),z)))))) = f(x,x). [para(1028(a,1),122(a,1,1,2)),rewrite(103(15),1028(5),1028(6),82(3),1028(8),1028(17))]. given #390 (T,wt=27): 5567 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),y)))))) = f(x,x). [para(82(a,1),4211(a,1,2,2,1,1))]. given #391 (A,wt=47): 196 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,u),f(f(f(f(y,u),u),f(y,y)),f(f(y,y),v)))))) = f(y,y). [para(74(a,1),10(a,1,2,2,2,2,1,1,1,1)),rewrite(82(5),82(12))]. given #392 (F,wt=27): 5640 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),y))))),x) = f(x,x). [para(5567(a,1),88(a,1,2,1)),rewrite(5567(22),82(13),5567(22))]. given #393 (F,wt=27): 5641 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(y,f(x,x))))))) = f(x,x). [para(88(a,1),5567(a,1,2,2,2,2,2))]. given #394 (T,wt=27): 5691 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(y,f(x,x)))))),x) = f(x,x). [para(88(a,1),5640(a,1,1,2,2,2,2))]. given #395 (T,wt=29): 4212 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(x,f(x,f(z,f(x,x))))))) = f(x,x). [para(1036(a,1),122(a,1,1,2)),rewrite(103(15),1036(5),1036(6),82(3),1036(8),1036(17))]. given #396 (A,wt=49): 197 f(x,f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))))) = f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))). [para(74(a,1),22(a,1,1))]. given #397 (F,wt=29): 4373 f(f(x,x),f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))))) = x. [para(285(a,1),2526(a,1,1,1)),rewrite(285(9),285(10),285(10),285(10),285(11),285(22))]. given #398 (F,wt=29): 4414 f(x,f(f(x,x),f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(f(x,x),y)))))))) = f(x,x). [para(3460(a,1),2526(a,1,1,1)),rewrite(3460(8),82(3),3460(7),3460(8),3460(9),82(4),3460(8),3460(19))]. given #399 (T,wt=29): 4415 f(x,f(f(x,x),f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(y,f(x,x))))))))) = f(x,x). [para(3461(a,1),2526(a,1,1,1)),rewrite(3461(8),82(3),3461(7),3461(8),3461(9),82(4),3461(8),3461(19))]. given #400 (T,wt=29): 4521 f(f(x,f(f(x,x),x)),f(f(f(x,x),x),f(x,f(y,f(f(x,x),x))))) = f(f(x,x),x). [para(88(a,1),2537(a,1,2,2,2))]. given #401 (A,wt=37): 200 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),x))) = f(x,y). [para(82(a,1),74(a,1,2,2,2))]. given #402 (F,wt=29): 4726 f(x,f(f(f(f(f(x,x),f(y,x)),f(x,f(x,x))),f(x,f(x,x))),f(x,x))) = f(x,x). [para(22(a,1),4654(a,1,1)),rewrite(82(6),82(9))]. given #403 (F,wt=29): 4734 f(x,f(f(f(f(f(x,x),f(x,y)),f(x,f(x,x))),f(x,f(x,x))),f(x,x))) = f(x,x). [para(82(a,1),4654(a,1,1)),rewrite(82(6),82(9))]. given #404 (T,wt=29): 4737 f(f(f(f(x,y),f(x,y)),y),f(f(f(f(x,y),f(f(y,y),y)),f(f(y,y),y)),y)) = y. [para(88(a,1),4654(a,1,2,1,1,1))]. given #405 (T,wt=29): 4739 f(f(f(f(x,y),f(x,y)),x),f(f(f(f(x,y),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(97(a,1),4654(a,1,2,1,1,1))]. given #406 (A,wt=41): 204 f(f(x,x),f(x,f(f(f(x,f(x,f(f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))),x),f(x,z)))),x),f(x,u)))) = x. [para(74(a,1),8(a,1,2,1,2,2,1,1,1)),rewrite(74(11),175(15),74(10),74(10))]. given #407 (F,wt=29): 5032 f(f(x,x),f(x,f(x,f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))))) = x. [para(4840(a,1),234(a,1,1)),rewrite(4840(12),4840(13),82(4),4840(24),4840(25),82(16))]. given #408 (F,wt=29): 5098 f(f(x,x),f(x,f(x,f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))))) = x. [para(4945(a,1),234(a,1,1)),rewrite(4945(12),4945(13),82(4),4945(24),4945(25),82(16))]. given #409 (T,wt=29): 5565 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(x,y)))))) = x. [para(57(a,1),4211(a,1,2,2,1,1)),rewrite(82(7),82(10),82(16))]. given #410 (T,wt=29): 5568 f(f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(x,f(x,f(f(x,x),z))))),x) = f(x,x). [para(4211(a,1),88(a,1,2,1)),rewrite(4211(24),82(14),4211(24))]. given #411 (A,wt=43): 211 f(x,f(f(x,x),f(f(f(f(x,x),f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(f(x,x),z)))),f(x,x)),f(f(x,x),u)))) = f(x,x). [para(141(a,1),6(a,1,1)),rewrite(210(4),210(5),210(6),82(4),210(5),210(6),82(4),210(6),210(7),82(5),210(8),210(10),116(11),210(6),210(7),82(5),210(7),210(8),82(6),210(9),210(11),210(16),210(18),210(23))]. given #412 (F,wt=29): 5690 f(f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(x,y))))),f(x,x)) = x. [para(22(a,1),5640(a,1,1,1,2)),rewrite(82(6),82(9),82(16))]. given #413 (F,wt=29): 5694 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(y,x)))))) = x. [para(22(a,1),5641(a,1,2,1,2)),rewrite(82(7),82(10),82(16))]. given #414 (T,wt=29): 5715 f(f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(f(x,x),f(y,x))))),f(x,x)) = x. [para(22(a,1),5691(a,1,1,1,2)),rewrite(82(6),82(9),82(16))]. given #415 (T,wt=29): 5722 f(f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(x,f(x,f(z,f(x,x)))))),x) = f(x,x). [para(4212(a,1),88(a,1,2,1)),rewrite(4212(24),82(14),4212(24))]. given #416 (A,wt=55): 215 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),z))))) = f(y,z). [para(11(a,1),9(a,1,1,2)),rewrite(11(24),11(25),11(28),11(32),11(47))]. given #417 (F,wt=31): 287 f(f(x,x),f(x,f(f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))),x),f(x,z)))) = x. [para(202(a,1),3(a,1,2,2,1,1,1)),rewrite(202(10))]. given #418 (F,wt=31): 367 f(x,f(f(y,x),f(f(f(f(y,x),f(f(y,x),f(y,x))),f(x,x)),f(f(x,x),z)))) = f(x,x). [para(22(a,1),37(a,1,2,2,1,1,1)),rewrite(88(4))]. given #419 (T,wt=31): 373 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(z,x)),y),y),f(x,x)),f(u,f(x,x))))) = f(x,x). [para(88(a,1),37(a,1,2,2,2))]. given #420 (T,wt=31): 422 f(f(x,f(y,y)),f(f(y,f(x,x)),f(f(f(x,f(x,x)),f(y,y)),f(f(y,y),z)))) = f(y,y). [para(22(a,1),38(a,1,2,2,1,1,1))]. given #421 (A,wt=49): 216 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),x))) = f(y,x). [para(22(a,1),11(a,1,1,1,2,1,1,1))]. given #422 (F,wt=31): 423 f(f(f(x,x),f(y,y)),f(f(y,x),f(f(f(f(x,x),x),f(y,y)),f(f(y,y),z)))) = f(y,y). [para(48(a,1),38(a,1,2,2,1,1,1))]. given #423 (F,wt=31): 434 f(f(x,x),f(x,f(f(x,y),f(f(f(f(f(f(x,x),z),y),y),f(x,x)),f(f(x,x),u))))) = x. [para(38(a,1),227(a,1,1)),rewrite(38(15),38(16),82(4),38(28),38(29),82(17))]. given #424 (T,wt=31): 452 f(x,f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(x,y))),f(x,x)),f(f(x,x),z)))) = f(x,x). [para(82(a,1),41(a,1,1)),rewrite(82(3),97(4))]. given #425 (T,wt=31): 521 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),f(x,x)),f(f(x,f(y,x)),x))) = f(y,x). [para(82(a,1),46(a,1,2,2,1,1))]. given #426 (A,wt=57): 218 f(f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))),f(f(y,y),x)),f(f(f(f(f(y,y),x),f(f(y,y),x)),u),f(f(f(f(x,u),u),f(f(y,y),x)),x))) = f(f(y,y),x). [para(48(a,1),11(a,1,1,1,2,1,1,1))]. Demod_limit: f(f(f(f(f(f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w))))),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w)))))),x),f(f(f(f(x,x),x),f(f(x,x),x)),f(f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w))))),v6))),f(f(x,x),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w))))))),f(f(f(f(f(x,x),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w)))))),f(f(x,x),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w))))))),v7),f(f(f(f(f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w))))),v7),v7),f(f(x,x),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w))))))),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w)))))))) = f(f(x,x),f(f(f(f(x,x),x),y),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),f(z,f(f(x,x),x))),y),y),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),u),f(f(f(f(f(f(f(f(x,x),x),f(f(x,x),x)),v),u),u),f(f(f(x,x),x),f(f(x,x),x))),f(f(f(f(x,x),x),f(f(x,x),x)),w)))))). [para(49(a,1),218(a,1,1,1,2,1))]. Demod_limit (steps=-1, size=1001). The most recent kept clause is 6156. From here on, a short message will be printed for each 100 times the limit is hit. given #427 (F,wt=31): 678 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(x,z)),y),y),f(x,x)),f(u,f(x,x))))) = f(x,x). [para(82(a,1),102(a,1,1)),rewrite(82(3))]. given #428 (F,wt=31): 684 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [para(88(a,1),102(a,1,2,2,1,1,1,1))]. given #429 (T,wt=31): 688 f(f(f(f(x,y),f(x,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))) = x. [para(97(a,1),102(a,1,2,2,1,1,1,1))]. given #430 (T,wt=31): 692 f(f(x,x),f(x,f(f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))),x),f(z,x)))) = x. [para(74(a,1),102(a,1,2,2,1,1,1)),rewrite(74(10))]. given #431 (A,wt=51): 219 f(f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),x))) = f(y,x). [para(82(a,1),11(a,1,1,1,2,1,1))]. given #432 (F,wt=25): 6274 f(f(x,x),f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))),x)) = x. [para(88(a,1),692(a,1,2))]. given #433 (F,wt=25): 6300 f(f(x,x),f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))),x)) = x. [para(88(a,1),6274(a,1,2,1,2,2,2))]. given #434 (T,wt=31): 706 f(f(x,x),f(x,f(f(f(x,f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))),x),f(z,x)))) = x. [para(202(a,1),102(a,1,2,2,1,1,1)),rewrite(202(10))]. given #435 (T,wt=31): 803 f(x,f(f(y,x),f(f(f(f(y,x),f(f(y,x),f(y,x))),f(x,x)),f(z,f(x,x))))) = f(x,x). [para(22(a,1),457(a,1,1)),rewrite(82(3),88(4))]. given #436 (A,wt=47): 220 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),f(x,x)),f(f(x,f(z,x)),x))) = f(z,x). [para(82(a,1),11(a,1,2,2,1,1))]. given #437 (F,wt=31): 804 f(f(x,f(y,y)),f(f(y,f(x,x)),f(f(f(x,f(x,x)),f(y,y)),f(z,f(y,y))))) = f(y,y). [para(22(a,1),457(a,1,2,1,1))]. given #438 (F,wt=31): 807 f(x,f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(x,y))),f(x,x)),f(z,f(x,x))))) = f(x,x). [para(82(a,1),457(a,1,1)),rewrite(82(3),97(4))]. given #439 (T,wt=31): 858 f(f(f(x,x),f(y,y)),f(f(y,x),f(f(f(f(x,x),x),f(y,y)),f(z,f(y,y))))) = f(y,y). [para(22(a,1),636(a,1,2,1,1))]. given #440 (T,wt=31): 878 f(f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(x,y))),f(y,y)),f(f(y,y),z))),y) = f(y,y). [para(88(a,1),649(a,1,1,1)),rewrite(82(8))]. given #441 (A,wt=33): 221 f(f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y)),f(f(x,y),f(x,y))) = f(x,y). [para(11(a,1),88(a,1,2,1)),rewrite(11(33),11(36))]. given #442 (F,wt=31): 879 f(f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(x,y))),f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(97(a,1),649(a,1,1,1)),rewrite(82(8))]. given #443 (F,wt=31): 937 f(f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(x,y))),f(y,y)),f(z,f(y,y)))),y) = f(y,y). [para(88(a,1),663(a,1,1,1)),rewrite(82(8))]. given #444 (T,wt=31): 938 f(f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(x,y))),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(97(a,1),663(a,1,1,1)),rewrite(82(8))]. given #445 (T,wt=31): 1327 f(x,f(f(x,x),f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(x,z))))) = f(x,x). [para(86(a,1),227(a,1,1)),rewrite(86(12),86(12),86(25),86(25))]. given #446 (A,wt=49): 222 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),x))) = f(z,x). [para(88(a,1),11(a,1,1,1,2,2))]. given #447 (F,wt=31): 1550 f(x,f(f(x,x),f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(z,x))))) = f(x,x). [para(680(a,1),227(a,1,1)),rewrite(680(12),680(12),680(25),680(25))]. given #448 (F,wt=31): 1900 f(x,f(f(x,x),f(f(f(x,x),f(f(y,x),f(y,x))),f(f(f(y,x),x),f(x,z))))) = f(x,x). [para(1131(a,1),234(a,1,1)),rewrite(1131(12),1131(12),1131(25),1131(25))]. given #449 (T,wt=31): 1904 f(x,f(f(x,x),f(f(f(x,x),f(f(y,x),f(y,x))),f(f(f(y,x),x),f(z,x))))) = f(x,x). [para(1211(a,1),234(a,1,1)),rewrite(1211(12),1211(12),1211(25),1211(25))]. given #450 (T,wt=31): 2324 f(f(f(x,x),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,x)),f(f(x,f(x,y)),y))) = f(x,y). [para(82(a,1),89(a,1,2,2,1,1))]. given #451 (A,wt=55): 224 f(f(x,x),f(f(f(f(f(x,x),f(x,y)),f(f(x,x),f(x,y))),z),f(f(f(f(f(x,x),z),z),f(f(x,x),f(x,y))),f(f(f(x,x),f(x,y)),u)))) = f(f(x,x),f(x,y)). [para(210(a,1),3(a,1,1)),rewrite(57(13))]. given #452 (F,wt=31): 2418 f(f(x,x),f(f(f(f(f(x,x),f(x,y)),f(f(x,x),f(x,y))),x),x)) = f(f(x,x),f(x,y)). [para(2380(a,1),87(a,1,2,2,1,1,1)),rewrite(576(6),57(12),1034(16))]. given #453 (F,wt=31): 2451 f(f(x,x),f(f(f(f(f(x,x),f(y,x)),f(f(x,x),f(y,x))),x),x)) = f(f(x,x),f(y,x)). [para(2381(a,1),87(a,1,2,2,1,1,1)),rewrite(590(6),57(12),1052(16))]. given #454 (T,wt=31): 2528 f(f(x,x),f(x,f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z)))))) = x. [back_rewrite(2446),rewrite(2491(5))]. given #455 (T,wt=31): 2824 f(f(x,x),f(x,f(f(f(x,f(f(x,f(x,f(f(f(x,x),x),f(y,x)))),x)),x),f(x,z)))) = x. [para(2815(a,1),3(a,1,2,2,1,1,1)),rewrite(2815(10))]. given #456 (A,wt=33): 225 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,f(f(y,y),z))),f(y,f(f(y,y),z))),y),f(y,u)))) = y. [para(210(a,1),3(a,1,2,1)),rewrite(82(4),82(5),82(9))]. given #457 (F,wt=31): 2832 f(f(x,x),f(x,f(f(f(x,f(f(x,f(x,f(f(f(x,x),x),f(y,x)))),x)),x),f(z,x)))) = x. [para(2815(a,1),102(a,1,2,2,1,1,1)),rewrite(2815(10))]. given #458 (F,wt=25): 6645 f(f(x,x),f(f(x,f(f(x,f(x,f(f(f(x,x),x),f(y,x)))),x)),x)) = x. [para(88(a,1),2832(a,1,2))]. given #459 (T,wt=31): 2865 f(f(x,x),f(x,f(f(f(x,f(f(x,f(x,f(f(f(x,x),x),f(x,y)))),x)),x),f(x,z)))) = x. [para(2856(a,1),3(a,1,2,2,1,1,1)),rewrite(2856(10))]. given #460 (T,wt=31): 2876 f(f(x,x),f(x,f(f(f(x,f(f(x,f(x,f(f(f(x,x),x),f(x,y)))),x)),x),f(z,x)))) = x. [para(2856(a,1),102(a,1,2,2,1,1,1)),rewrite(2856(10))]. given #461 (A,wt=51): 226 f(f(x,y),f(f(f(y,y),f(f(f(y,x),f(y,x)),f(f(y,x),z))),f(f(f(f(f(y,x),f(y,x)),f(f(f(y,x),f(y,x)),f(f(y,x),z))),y),f(y,u)))) = y. [para(210(a,1),3(a,1,2,2,1,1,1))]. given #462 (F,wt=25): 6695 f(f(x,x),f(f(x,f(f(x,f(x,f(f(f(x,x),x),f(x,y)))),x)),x)) = x. [para(88(a,1),2876(a,1,2))]. given #463 (F,wt=31): 2988 f(f(f(x,x),x),f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))))) = f(x,x). [para(65(a,1),597(a,1,1,1,1)),rewrite(65(11),65(12),65(13),65(13),65(24),65(24))]. given #464 (T,wt=31): 2993 f(f(f(x,x),x),f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))))) = f(x,x). [para(636(a,1),597(a,1,1,1,1)),rewrite(636(11),636(12),636(13),636(13),636(24),636(24))]. given #465 (T,wt=31): 3010 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(y,z)))) = y. [para(82(a,1),100(a,1,2,2,1,1,1))]. given #466 (A,wt=49): 228 f(f(x,x),f(f(f(f(f(x,x),f(x,y)),f(f(x,x),f(x,y))),z),f(f(f(f(f(x,x),z),z),f(f(x,x),f(x,y))),f(x,y)))) = f(f(x,x),f(x,y)). [para(210(a,1),9(a,1,1)),rewrite(57(13))]. given #467 (F,wt=31): 3050 f(f(f(x,x),x),f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))))) = f(x,x). [para(1589(a,1),602(a,1,1,1,1)),rewrite(1589(10),1589(11),1589(12),1589(12),1589(23),1589(23))]. given #468 (F,wt=31): 3051 f(f(f(x,x),x),f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))))) = f(x,x). [para(1590(a,1),602(a,1,1,1,1)),rewrite(1590(10),1590(11),1590(12),1590(12),1590(23),1590(23))]. given #469 (T,wt=31): 3052 f(f(f(x,x),x),f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))))) = f(x,x). [para(1598(a,1),602(a,1,1,1,1)),rewrite(1598(10),1598(11),1598(12),1598(12),1598(23),1598(23))]. given #470 (T,wt=31): 3053 f(f(f(x,x),x),f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))))) = f(x,x). [para(1624(a,1),602(a,1,1,1,1)),rewrite(1624(10),1624(11),1624(12),1624(12),1624(23),1624(23))]. given #471 (A,wt=53): 229 f(f(x,f(y,z)),f(f(y,z),f(f(f(f(f(f(y,z),x),f(f(y,z),f(f(f(y,z),f(y,z)),u))),f(f(y,z),f(f(f(y,z),f(y,z)),u))),f(y,z)),z))) = f(y,z). [para(210(a,1),9(a,1,2,1)),rewrite(82(9),82(12),82(19))]. given #472 (F,wt=31): 3058 f(f(x,f(x,x)),f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(f(x,x),z))))) = x. [para(793(a,1),602(a,1,1,1,1)),rewrite(793(12),82(3),793(11),793(13),793(14),82(5),793(25),793(26),82(17))]. given #473 (F,wt=31): 3059 f(f(x,f(x,x)),f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(z,f(x,x)))))) = x. [para(933(a,1),602(a,1,1,1,1)),rewrite(933(12),82(3),933(11),933(13),933(14),82(5),933(25),933(26),82(17))]. given #474 (T,wt=31): 3086 f(f(x,f(x,x)),f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(f(x,x),z)))) = f(x,x). [para(3045(a,1),100(a,1,2,2,1,1,1)),rewrite(278(7),82(5),82(16))]. given #475 (T,wt=23): 6863 f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(f(x,x),z))) = x. [para(3086(a,1),47(a,1,2,2,1)),rewrite(231(39),48(35),82(13)),flip(a)]. given #476 (A,wt=49): 230 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,f(f(y,y),z))),f(y,f(f(y,y),z))),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(210(a,1),10(a,1,2,1)),rewrite(82(4),82(5),82(9))]. given #477 (F,wt=23): 6874 f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(x,f(f(x,x),z))) = x. [para(88(a,1),6863(a,1,1,2,2,2,2))]. given #478 (F,wt=23): 6875 f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(x,f(z,f(x,x)))) = x. [para(88(a,1),6863(a,1,2,2))]. given #479 (T,wt=23): 6882 f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(x,f(z,f(x,x)))) = x. [para(88(a,1),6874(a,1,2,2))]. given #480 (T,wt=31): 3363 f(f(x,x),f(x,f(f(x,y),f(f(f(f(f(f(x,x),z),y),y),f(x,x)),f(u,f(x,x)))))) = x. [para(22(a,1),707(a,1,2,1)),rewrite(82(4),82(17))]. given #481 (A,wt=57): 236 f(f(f(x,f(f(f(f(f(x,y),f(x,f(f(x,x),z))),f(x,f(f(x,x),z))),x),f(x,u))),f(y,x)),f(f(f(f(y,x),f(y,x)),v),f(f(f(f(x,v),v),f(y,x)),x))) = f(y,x). [para(210(a,1),11(a,1,1,1,1)),rewrite(82(3),82(4),82(8))]. given #482 (F,wt=31): 3429 f(f(f(x,x),f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))))),f(x,x)) = x. [para(65(a,1),1073(a,1,1,1,1)),rewrite(65(11),65(12),65(12),65(23),65(23),65(25))]. given #483 (F,wt=31): 3434 f(f(f(x,x),f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))))),f(x,x)) = x. [para(636(a,1),1073(a,1,1,1,1)),rewrite(636(11),636(12),636(12),636(23),636(23),636(25))]. given #484 (T,wt=31): 3467 f(f(f(x,x),f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))))),f(x,x)) = x. [para(1589(a,1),1076(a,1,1,1,1)),rewrite(1589(10),1589(11),1589(11),1589(22),1589(22),1589(24))]. given #485 (T,wt=31): 3468 f(f(f(x,x),f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))))),f(x,x)) = x. [para(1590(a,1),1076(a,1,1,1,1)),rewrite(1590(10),1590(11),1590(11),1590(22),1590(22),1590(24))]. given #486 (A,wt=51): 238 f(x,f(f(f(f(x,f(f(x,x),y)),f(x,f(f(x,x),y))),z),f(f(f(f(x,z),z),f(x,f(f(x,x),y))),f(f(x,f(f(x,x),y)),u)))) = f(x,f(f(x,x),y)). [para(231(a,1),3(a,1,1)),rewrite(82(13))]. given #487 (F,wt=31): 3469 f(f(f(x,x),f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))))),f(x,x)) = x. [para(1598(a,1),1076(a,1,1,1,1)),rewrite(1598(10),1598(11),1598(11),1598(22),1598(22),1598(24))]. given #488 (F,wt=31): 3470 f(f(f(x,x),f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))))),f(x,x)) = x. [para(1624(a,1),1076(a,1,1,1,1)),rewrite(1624(10),1624(11),1624(11),1624(22),1624(22),1624(24))]. given #489 (T,wt=31): 3475 f(f(x,f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(f(x,x),z))))),x) = f(x,x). [para(793(a,1),1076(a,1,1,1,1)),rewrite(793(12),82(3),793(11),793(12),82(3),793(23),793(24),82(15),793(24))]. given #490 (T,wt=31): 3476 f(f(x,f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(z,f(x,x)))))),x) = f(x,x). [para(933(a,1),1076(a,1,1,1,1)),rewrite(933(12),82(3),933(11),933(12),82(3),933(23),933(24),82(15),933(24))]. given #491 (A,wt=47): 240 f(x,f(f(f(f(x,f(f(x,x),y)),f(x,f(f(x,x),y))),z),f(f(f(f(x,z),z),f(x,f(f(x,x),y))),f(f(x,x),y)))) = f(x,f(f(x,x),y)). [para(231(a,1),9(a,1,1)),rewrite(82(13))]. given #492 (F,wt=31): 3634 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))),f(x,f(f(x,x),z))),x) = f(x,x). [para(3509(a,1),770(a,1,1,2,1,1,1)),rewrite(82(3),82(18),82(15))]. given #493 (F,wt=31): 3635 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(3509(a,1),956(a,1,1,2,1,1,1)),rewrite(82(3),82(18),82(15))]. given #494 (T,wt=31): 3639 f(f(f(x,f(x,f(x,f(x,f(x,f(f(x,x),y)))))),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(3509(a,1),90(a,1,2,1,2,1)),rewrite(3509(25),278(17),3509(22),2498(15),82(15),48(13))]. given #495 (T,wt=31): 3727 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(3510(a,1),767(a,1,1,2,1)),rewrite(3719(19))]. given #496 (A,wt=43): 242 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(f(x,z),f(f(f(f(f(f(x,x),u),z),z),f(x,x)),f(f(x,x),v)))))) = f(x,x). [para(231(a,1),10(a,1,2,2,1,1,1,1)),rewrite(82(5),82(3),82(8))]. given #497 (F,wt=31): 3728 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(3510(a,1),954(a,1,1,2,1)),rewrite(3719(19))]. given #498 (F,wt=31): 3740 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))),f(x,f(f(x,x),z))),x) = f(x,x). [para(3606(a,1),770(a,1,1,2,1,1,1)),rewrite(82(3),82(18),82(15))]. given #499 (T,wt=31): 3741 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(3606(a,1),956(a,1,1,2,1,1,1)),rewrite(82(3),82(18),82(15))]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 70 (0.00 of 61.79 sec). given #500 (T,wt=31): 3745 f(f(f(x,f(x,f(x,f(x,f(x,f(y,f(x,x))))))),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(3606(a,1),90(a,1,2,1,2,1)),rewrite(3606(25),278(17),3606(22),2498(15),82(15),48(13))]. given #501 (A,wt=55): 246 f(f(x,x),f(f(f(f(f(x,x),f(y,x)),f(f(x,x),f(y,x))),z),f(f(f(f(f(x,x),z),z),f(f(x,x),f(y,x))),f(f(f(x,x),f(y,x)),u)))) = f(f(x,x),f(y,x)). [para(235(a,1),3(a,1,1)),rewrite(57(13))]. given #502 (F,wt=31): 3760 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(3607(a,1),767(a,1,1,2,1)),rewrite(3752(19))]. given #503 (F,wt=31): 3761 f(f(f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(3607(a,1),954(a,1,1,2,1)),rewrite(3752(19))]. given #504 (T,wt=31): 3820 f(x,f(f(x,x),f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(f(x,x),f(x,z))))) = f(x,x). [para(3499(a,1),234(a,1,1)),rewrite(3499(12),3499(12),3499(25),3499(25))]. given #505 (T,wt=31): 3829 f(x,f(f(x,x),f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),f(f(x,x),f(z,x))))) = f(x,x). [para(3500(a,1),234(a,1,1)),rewrite(3500(12),3500(12),3500(25),3500(25))]. given #506 (A,wt=33): 247 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,f(z,f(y,y)))),f(y,f(z,f(y,y)))),y),f(y,u)))) = y. [para(235(a,1),3(a,1,2,1)),rewrite(82(4),82(5),82(9))]. given #507 (F,wt=31): 3840 f(x,f(f(x,x),f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(f(x,x),f(x,z))))) = f(x,x). [para(3596(a,1),234(a,1,1)),rewrite(3596(12),3596(12),3596(25),3596(25))]. given #508 (F,wt=31): 3848 f(x,f(f(x,x),f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),f(f(x,x),f(z,x))))) = f(x,x). [para(3597(a,1),234(a,1,1)),rewrite(3597(12),3597(12),3597(25),3597(25))]. given #509 (T,wt=31): 3875 f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))))) = x. [para(3734(a,1),602(a,1,1,1,1)),rewrite(3734(12),82(3),3734(11),3734(13),3734(14),82(5),3734(25),3734(26),82(17))]. given #510 (T,wt=31): 3876 f(f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))))),x) = f(x,x). [para(3734(a,1),1076(a,1,1,1,1)),rewrite(3734(12),82(3),3734(11),3734(12),82(3),3734(23),3734(24),82(15),3734(24))]. given #511 (A,wt=51): 248 f(f(x,y),f(f(f(y,y),f(f(f(y,x),f(y,x)),f(z,f(y,x)))),f(f(f(f(f(y,x),f(y,x)),f(f(f(y,x),f(y,x)),f(z,f(y,x)))),y),f(y,u)))) = y. [para(235(a,1),3(a,1,2,2,1,1,1))]. given #512 (F,wt=31): 3895 f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))))) = x. [para(3767(a,1),602(a,1,1,1,1)),rewrite(3767(12),82(3),3767(11),3767(13),3767(14),82(5),3767(25),3767(26),82(17))]. given #513 (F,wt=31): 3896 f(f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))))),x) = f(x,x). [para(3767(a,1),1076(a,1,1,1,1)),rewrite(3767(12),82(3),3767(11),3767(12),82(3),3767(23),3767(24),82(15),3767(24))]. given #514 (T,wt=31): 3904 f(f(x,x),f(x,f(f(x,y),f(f(f(f(f(z,f(x,x)),y),y),f(x,x)),f(f(x,x),u))))) = x. [para(1129(a,1),234(a,1,1)),rewrite(1129(13),1129(14),82(4),1129(26),1129(27),82(17))]. given #515 (T,wt=31): 3943 f(f(x,x),f(x,f(f(x,y),f(f(f(f(f(z,f(x,x)),y),y),f(x,x)),f(u,f(x,x)))))) = x. [para(1210(a,1),234(a,1,1)),rewrite(1210(13),1210(14),82(4),1210(26),1210(27),82(17))]. given #516 (A,wt=49): 249 f(f(x,x),f(f(f(f(f(x,x),f(y,x)),f(f(x,x),f(y,x))),z),f(f(f(f(f(x,x),z),z),f(f(x,x),f(y,x))),f(y,x)))) = f(f(x,x),f(y,x)). [para(235(a,1),9(a,1,1)),rewrite(57(13))]. given #517 (F,wt=31): 4006 f(f(x,f(x,x)),f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))))) = f(x,x). [para(65(a,1),1413(a,1,1,1)),rewrite(65(11),65(11),65(13),65(13),65(24),65(24))]. given #518 (F,wt=31): 4011 f(f(x,f(x,x)),f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))))) = f(x,x). [para(636(a,1),1413(a,1,1,1)),rewrite(636(11),636(11),636(13),636(13),636(24),636(24))]. given #519 (T,wt=31): 4035 f(f(x,f(x,x)),f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))))) = f(x,x). [para(1341(a,1),1413(a,1,1,1)),rewrite(1341(13),1341(13),1341(15),1341(15),1341(26),1341(26))]. given #520 (T,wt=31): 4036 f(f(x,f(x,x)),f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))))) = f(x,x). [para(1343(a,1),1413(a,1,1,1)),rewrite(1343(13),1343(13),1343(15),1343(15),1343(26),1343(26))]. given #521 (A,wt=53): 250 f(f(x,f(y,z)),f(f(y,z),f(f(f(f(f(f(y,z),x),f(f(y,z),f(u,f(f(y,z),f(y,z))))),f(f(y,z),f(u,f(f(y,z),f(y,z))))),f(y,z)),z))) = f(y,z). [para(235(a,1),9(a,1,2,1)),rewrite(82(9),82(12),82(19))]. given #522 (F,wt=31): 4044 f(f(x,f(x,x)),f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))))) = f(x,x). [para(1598(a,1),1420(a,1,1,1)),rewrite(1598(10),1598(10),1598(12),1598(12),1598(23),1598(23))]. given #523 (F,wt=31): 4045 f(f(x,f(x,x)),f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))))) = f(x,x). [para(1624(a,1),1420(a,1,1,1)),rewrite(1624(10),1624(10),1624(12),1624(12),1624(23),1624(23))]. given #524 (T,wt=31): 4050 f(f(f(x,x),x),f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(f(x,x),z))))) = x. [para(793(a,1),1420(a,1,1,1)),rewrite(793(12),793(13),82(4),793(13),793(14),82(5),793(25),793(26),82(17))]. given #525 (T,wt=31): 4051 f(f(f(x,x),x),f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(z,f(x,x)))))) = x. [para(933(a,1),1420(a,1,1,1)),rewrite(933(12),933(13),82(4),933(13),933(14),82(5),933(25),933(26),82(17))]. given #526 (A,wt=49): 251 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,f(z,f(y,y)))),f(y,f(z,f(y,y)))),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(235(a,1),10(a,1,2,1)),rewrite(82(4),82(5),82(9))]. given #527 (F,wt=31): 4073 f(f(f(x,x),x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(f(x,x),y))))))))))) = x. [para(3734(a,1),1420(a,1,1,1)),rewrite(3734(12),3734(13),82(4),3734(13),3734(14),82(5),3734(25),3734(26),82(17))]. given #528 (F,wt=31): 4074 f(f(f(x,x),x),f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(x,f(y,f(x,x)))))))))))) = x. [para(3767(a,1),1420(a,1,1,1)),rewrite(3767(12),3767(13),82(4),3767(13),3767(14),82(5),3767(25),3767(26),82(17))]. given #529 (T,wt=31): 4377 f(f(x,x),f(x,f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x)))))) = x. [para(654(a,1),2526(a,1,1,1)),rewrite(654(10),654(11),654(11),654(11),654(12),654(24))]. given #530 (T,wt=31): 4388 f(f(x,x),f(x,f(f(f(x,x),x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z)))))) = x. [para(1589(a,1),2526(a,1,1,1)),rewrite(1589(10),1589(11),1589(11),1589(11),1589(12),1589(24))]. given #531 (A,wt=57): 253 f(f(f(x,f(f(f(f(f(x,y),f(x,f(z,f(x,x)))),f(x,f(z,f(x,x)))),x),f(x,u))),f(y,x)),f(f(f(f(y,x),f(y,x)),v),f(f(f(f(x,v),v),f(y,x)),x))) = f(y,x). [para(235(a,1),11(a,1,1,1,1)),rewrite(82(3),82(4),82(8))]. given #532 (F,wt=31): 4389 f(f(x,x),f(x,f(f(f(x,x),x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z)))))) = x. [para(1590(a,1),2526(a,1,1,1)),rewrite(1590(10),1590(11),1590(11),1590(11),1590(12),1590(24))]. given #533 (F,wt=31): 4390 f(f(x,x),f(x,f(f(f(x,x),x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x)))))) = x. [para(1598(a,1),2526(a,1,1,1)),rewrite(1598(10),1598(11),1598(11),1598(11),1598(12),1598(24))]. given #534 (T,wt=31): 4391 f(f(x,x),f(x,f(f(f(x,x),x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x)))))) = x. [para(1624(a,1),2526(a,1,1,1)),rewrite(1624(10),1624(11),1624(11),1624(11),1624(12),1624(24))]. given #535 (T,wt=31): 4728 f(f(x,f(y,y)),f(f(f(f(f(y,y),x),f(y,f(y,y))),f(y,f(y,y))),f(y,y))) = f(y,y). [para(22(a,1),4654(a,1,2,1,1,2,1)),rewrite(82(10))]. given #536 (A,wt=51): 254 f(x,f(f(f(f(x,f(y,f(x,x))),f(x,f(y,f(x,x)))),z),f(f(f(f(x,z),z),f(x,f(y,f(x,x)))),f(f(x,f(y,f(x,x))),u)))) = f(x,f(y,f(x,x))). [para(244(a,1),3(a,1,1)),rewrite(82(13))]. given #537 (F,wt=31): 4760 f(f(x,x),f(f(f(f(x,f(x,f(x,f(f(x,x),y)))),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(1028(a,1),4654(a,1,1))]. given #538 (F,wt=31): 4761 f(f(x,x),f(f(f(f(x,f(x,f(x,f(y,f(x,x))))),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(1036(a,1),4654(a,1,1))]. given #539 (T,wt=31): 4786 f(f(f(x,x),x),f(f(f(f(x,f(x,f(f(x,x),x))),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(1722(a,1),4654(a,1,1))]. given #540 (T,wt=27): 7621 f(f(f(f(x,f(x,f(f(x,x),x))),f(f(x,x),x)),f(f(x,x),x)),x) = f(x,x). [para(4786(a,1),46(a,1,2,2,1)),rewrite(22(39),57(14)),flip(a)]. given #541 (A,wt=47): 256 f(x,f(f(f(f(x,f(y,f(x,x))),f(x,f(y,f(x,x)))),z),f(f(f(f(x,z),z),f(x,f(y,f(x,x)))),f(y,f(x,x))))) = f(x,f(y,f(x,x))). [para(244(a,1),9(a,1,1)),rewrite(82(13))]. given #542 (F,wt=29): 7627 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),x))),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(7621(a,1),234(a,1,1)),rewrite(7621(12),7621(13),82(4),7621(24),7621(25),82(16))]. given #543 (F,wt=31): 4859 f(f(f(x,x),x),f(f(x,x),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,f(x,x))))) = f(x,x). [para(4743(a,1),602(a,1,1,1,1)),rewrite(4743(10),4743(11),4743(12),4743(12),4743(23),4743(23))]. given #544 (T,wt=31): 4860 f(f(f(x,x),f(f(x,x),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,f(x,x))))),f(x,x)) = x. [para(4743(a,1),1076(a,1,1,1,1)),rewrite(4743(10),4743(11),4743(11),4743(22),4743(22),4743(24))]. given #545 (T,wt=31): 4861 f(f(x,f(x,x)),f(f(x,x),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,f(x,x))))) = f(x,x). [para(4743(a,1),1420(a,1,1,1)),rewrite(4743(10),4743(10),4743(12),4743(12),4743(23),4743(23))]. given #546 (A,wt=57): 262 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(f(f(y,x),v),u),u),f(y,x)),x))))) = f(y,x). [para(22(a,1),12(a,1,2,2,1,1,1,1))]. given #547 (F,wt=31): 4862 f(f(x,x),f(x,f(f(f(x,x),x),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,f(x,x)))))) = x. [para(4743(a,1),2526(a,1,1,1)),rewrite(4743(10),4743(11),4743(11),4743(11),4743(12),4743(24))]. given #548 (F,wt=31): 4867 f(f(f(f(x,y),f(x,y)),x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [para(22(a,1),128(a,1,2,2,1,1,1))]. given #549 (T,wt=31): 4965 f(f(f(x,x),x),f(f(x,x),f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))))) = f(x,x). [para(4922(a,1),602(a,1,1,1,1)),rewrite(4922(10),4922(11),4922(12),4922(12),4922(23),4922(23))]. given #550 (T,wt=31): 4966 f(f(f(x,x),f(f(x,x),f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))))),f(x,x)) = x. [para(4922(a,1),1076(a,1,1,1,1)),rewrite(4922(10),4922(11),4922(11),4922(22),4922(22),4922(24))]. given #551 (A,wt=57): 263 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(x,x)),f(f(f(x,f(x,x)),f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),v),u),u),f(y,z)),z))))) = f(y,z). [para(22(a,1),12(a,1,2,2,1,1,1))]. given #552 (F,wt=31): 4967 f(f(x,f(x,x)),f(f(x,x),f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))))) = f(x,x). [para(4922(a,1),1420(a,1,1,1)),rewrite(4922(10),4922(10),4922(12),4922(12),4922(23),4922(23))]. given #553 (F,wt=31): 4968 f(f(x,x),f(x,f(f(f(x,x),x),f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x)))))) = x. [para(4922(a,1),2526(a,1,1,1)),rewrite(4922(10),4922(11),4922(11),4922(11),4922(12),4922(24))]. given #554 (T,wt=31): 5038 f(f(x,f(x,x)),f(x,f(x,f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))))) = x. [para(4840(a,1),602(a,1,1,1,1)),rewrite(4840(12),82(3),4840(11),4840(13),4840(14),82(5),4840(25),4840(26),82(17))]. given #555 (T,wt=31): 5039 f(f(x,f(x,f(x,f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))))),x) = f(x,x). [para(4840(a,1),1076(a,1,1,1,1)),rewrite(4840(12),82(3),4840(11),4840(12),82(3),4840(23),4840(24),82(15),4840(24))]. given #556 (A,wt=57): 264 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),f(v,v)),f(f(f(v,f(v,v)),f(y,z)),z))))) = f(y,z). [para(22(a,1),12(a,1,2,2,2,2,1,1,1))]. given #557 (F,wt=31): 5040 f(f(f(x,x),x),f(x,f(x,f(x,f(f(f(x,f(x,x)),f(f(x,x),x)),f(f(x,x),x)))))) = x. [para(4840(a,1),1420(a,1,1,1)),rewrite(4840(12),4840(13),82(4),4840(13),4840(14),82(5),4840(25),4840(26),82(17))]. given #558 (F,wt=31): 5104 f(f(x,f(x,x)),f(x,f(x,f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))))) = x. [para(4945(a,1),602(a,1,1,1,1)),rewrite(4945(12),82(3),4945(11),4945(13),4945(14),82(5),4945(25),4945(26),82(17))]. given #559 (T,wt=31): 5105 f(f(x,f(x,f(x,f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))))),x) = f(x,x). [para(4945(a,1),1076(a,1,1,1,1)),rewrite(4945(12),82(3),4945(11),4945(12),82(3),4945(23),4945(24),82(15),4945(24))]. given #560 (T,wt=31): 5106 f(f(f(x,x),x),f(x,f(x,f(x,f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)))))) = x. [para(4945(a,1),1420(a,1,1,1)),rewrite(4945(12),4945(13),82(4),4945(13),4945(14),82(5),4945(25),4945(26),82(17))]. given #561 (A,wt=57): 265 f(f(f(x,x),f(y,z)),f(f(f(f(y,z),f(y,z)),x),f(f(f(f(x,x),x),f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),v),u),u),f(y,z)),z))))) = f(y,z). [para(48(a,1),12(a,1,2,2,1,1,1))]. given #562 (F,wt=31): 5249 f(f(x,x),f(x,f(x,f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))))))) = x. [para(3458(a,1),234(a,1,1)),rewrite(3458(13),3458(14),82(4),3458(26),3458(27),82(17))]. given #563 (F,wt=31): 5263 f(f(x,x),f(x,f(x,f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))))))) = x. [para(3459(a,1),234(a,1,1)),rewrite(3459(13),3459(14),82(4),3459(26),3459(27),82(17))]. given #564 (T,wt=31): 5320 f(f(x,x),f(x,f(x,f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))))))) = x. [para(3471(a,1),234(a,1,1)),rewrite(3471(13),3471(14),82(4),3471(26),3471(27),82(17))]. given #565 (T,wt=31): 5334 f(f(x,x),f(x,f(x,f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))))))) = x. [para(3472(a,1),234(a,1,1)),rewrite(3472(13),3472(14),82(4),3472(26),3472(27),82(17))]. given #566 (A,wt=55): 266 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(v,v),v),f(y,z)),z))))) = f(y,z). [para(48(a,1),12(a,1,2,2,2,2,1,1,1))]. given #567 (F,wt=31): 5350 f(f(x,x),f(x,f(x,f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))))))) = x. [para(3473(a,1),234(a,1,1)),rewrite(3473(13),3473(14),82(4),3473(26),3473(27),82(17))]. given #568 (F,wt=31): 5364 f(f(x,x),f(x,f(x,f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))))))) = x. [para(3474(a,1),234(a,1,1)),rewrite(3474(13),3474(14),82(4),3474(26),3474(27),82(17))]. given #569 (T,wt=31): 5593 f(x,f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),z)))))) = f(x,x). [para(1909(a,1),4211(a,1,2,2,1,1))]. given #570 (T,wt=31): 5594 f(x,f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),z)))))) = f(x,x). [para(2033(a,1),4211(a,1,2,2,1,1))]. given #571 (A,wt=59): 267 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),f(y,z)),f(f(f(f(y,z),f(y,z)),f(y,z)),z))))) = f(y,z). [para(57(a,1),12(a,1,2,2,2,2,1,1))]. given #572 (F,wt=31): 5747 f(x,f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(x,f(x,f(z,f(x,x))))))) = f(x,x). [para(1909(a,1),4212(a,1,2,2,1,1))]. given #573 (F,wt=31): 5748 f(x,f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(x,f(x,f(z,f(x,x))))))) = f(x,x). [para(2033(a,1),4212(a,1,2,2,1,1))]. given #574 (T,wt=31): 5897 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(f(x,x),y)))))))) = f(x,x). [para(3460(a,1),200(a,1,1,1)),rewrite(3460(8),82(3),3460(7),3460(8),82(3),3460(7),3460(9),3460(10),82(5),3460(9),3460(20))]. given #575 (T,wt=31): 5898 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(y,f(x,x))))))))) = f(x,x). [para(3461(a,1),200(a,1,1,1)),rewrite(3461(8),82(3),3461(7),3461(8),82(3),3461(7),3461(9),3461(10),82(5),3461(9),3461(20))]. given #576 (A,wt=57): 268 f(f(f(x,x),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),f(f(f(f(x,y),f(x,y)),u),f(f(f(f(f(f(x,y),v),u),u),f(x,y)),y))))) = f(x,y). [para(82(a,1),12(a,1,2,2,1,1,1,1))]. given #577 (F,wt=31): 5976 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),z))))),x) = f(x,x). [para(1909(a,1),5568(a,1,1,2,1,1))]. given #578 (F,wt=31): 5977 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),z))))),x) = f(x,x). [para(2033(a,1),5568(a,1,1,2,1,1))]. given #579 (T,wt=31): 6026 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(x,f(x,f(z,f(x,x)))))),x) = f(x,x). [para(1909(a,1),5722(a,1,1,2,1,1))]. given #580 (T,wt=31): 6027 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(x,f(x,f(z,f(x,x)))))),x) = f(x,x). [para(2033(a,1),5722(a,1,1,2,1,1))]. given #581 (A,wt=55): 269 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(y,v),v),f(y,z)),z))))) = f(y,z). [para(82(a,1),12(a,1,2,2,2,2,1,1,1,1))]. given #582 (F,wt=31): 6145 f(f(f(f(f(x,y),f(x,y)),f(y,y)),f(f(y,f(x,y)),y)),f(f(x,y),f(x,y))) = f(x,y). [para(521(a,1),88(a,1,2,1)),rewrite(521(23),521(26))]. given #583 (F,wt=31): 6180 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(z,y)))) = y. [para(82(a,1),684(a,1,2,2,1,1,1))]. given #584 (T,wt=31): 6225 f(f(f(f(x,y),f(x,y)),x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [para(22(a,1),688(a,1,2,2,1,1,1))]. given #585 (T,wt=31): 6298 f(x,f(f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y)))),f(x,x))) = f(x,x). [para(22(a,1),6274(a,1,1)),rewrite(82(4),82(6))]. given #586 (A,wt=59): 270 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(f(w,f(y,z)),v),v),f(y,z)),z))))) = f(y,z). [para(88(a,1),12(a,1,2,2,2,2,1,1,1,1))]. given #587 (F,wt=31): 6322 f(x,f(f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x))))),f(x,x))) = f(x,x). [para(22(a,1),6300(a,1,1)),rewrite(82(4),82(6))]. given #588 (F,wt=31): 6490 f(f(f(f(f(x,y),f(x,y)),f(x,x)),f(f(x,f(x,y)),y)),f(f(x,y),f(x,y))) = f(x,y). [para(2324(a,1),88(a,1,2,1)),rewrite(2324(23),2324(26))]. given #589 (T,wt=31): 6873 f(f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))),f(f(x,x),f(x,z))) = f(x,x). [para(22(a,1),6863(a,1,1,2,2,2,2,1)),rewrite(82(13))]. given #590 (T,wt=31): 6881 f(f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))),f(f(x,x),f(x,z))) = f(x,x). [para(22(a,1),6874(a,1,1,2,2,2,2,2)),rewrite(82(13))]. given #591 (A,wt=53): 271 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),y),f(f(f(y,y),y),f(y,w)))))))) = y. [para(74(a,1),12(a,1,1,2)),rewrite(74(10),74(10),74(12),74(15),74(16),74(16),74(18),74(21),74(34))]. given #592 (F,wt=31): 6883 f(f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))),f(f(x,x),f(z,x))) = f(x,x). [para(22(a,1),6875(a,1,1,2,2,2,2,1)),rewrite(82(13))]. given #593 (F,wt=31): 6884 f(f(f(x,x),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))),f(f(x,x),f(z,x))) = f(x,x). [para(22(a,1),6882(a,1,1,2,2,2,2,2)),rewrite(82(13))]. given #594 (T,wt=31): 7622 f(f(f(f(f(x,x),f(f(x,x),f(x,f(x,x)))),f(x,f(x,x))),f(x,f(x,x))),f(x,x)) = x. [para(4786(a,1),67(a,1,2,2,1)),rewrite(82(5),82(9),82(12),82(20),82(24),82(27),82(34),82(38),82(41),82(49),48(47),82(17),82(5),82(9),82(12)),flip(a)]. given #595 (T,wt=31): 7633 f(f(x,f(x,x)),f(x,f(f(f(x,f(x,f(f(x,x),x))),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(7621(a,1),602(a,1,1,1,1)),rewrite(7621(12),82(3),7621(11),7621(13),7621(14),82(5),7621(25),7621(26),82(17))]. given #596 (A,wt=45): 273 f(f(x,f(f(y,y),y)),f(f(f(y,y),y),f(f(f(f(f(f(f(y,y),y),x),y),y),f(f(y,y),y)),f(f(f(y,y),y),z)))) = f(f(y,y),y). [para(260(a,1),3(a,1,2,1))]. given #597 (F,wt=31): 7634 f(f(x,f(x,f(f(f(x,f(x,f(f(x,x),x))),f(f(x,x),x)),f(f(x,x),x)))),x) = f(x,x). [para(7621(a,1),1076(a,1,1,1,1)),rewrite(7621(12),82(3),7621(11),7621(12),82(3),7621(23),7621(24),82(15),7621(24))]. given #598 (F,wt=31): 7635 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(f(x,x),x))),f(f(x,x),x)),f(f(x,x),x)))) = x. [para(7621(a,1),1420(a,1,1,1)),rewrite(7621(12),7621(13),82(4),7621(13),7621(14),82(5),7621(25),7621(26),82(17))]. given #599 (T,wt=31): 8049 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(f(x,x),y))))))),x) = f(x,x). [para(5897(a,1),88(a,1,2,1)),rewrite(5897(26),82(15),5897(26))]. given #600 (T,wt=31): 8071 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(x,f(x,f(y,f(x,x)))))))),x) = f(x,x). [para(5898(a,1),88(a,1,2,1)),rewrite(5898(26),82(15),5898(26))]. given #601 (A,wt=47): 275 f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(f(x,y),f(x,y)),f(x,y)),z),z),f(x,y)),y))) = f(x,y). [para(260(a,1),9(a,1,1)),rewrite(88(22))]. given #602 (F,wt=33): 319 f(f(x,f(x,x)),f(f(x,y),f(f(f(f(f(x,f(x,x)),y),y),f(x,x)),f(f(x,x),z)))) = f(x,x). [para(278(a,1),3(a,1,1)),rewrite(82(5),88(10))]. given #603 (F,wt=33): 429 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(u,f(y,y))))) = f(y,y). [para(88(a,1),38(a,1,2,2,2))]. given #604 (T,wt=33): 454 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(x,x)),f(f(f(x,f(x,x)),f(y,z)),y))) = f(y,z). [para(82(a,1),41(a,1,2,2,2))]. given #605 (T,wt=9): 8394 f(f(x,x),f(x,y)) = x. [para(210(a,1),454(a,1,1)),rewrite(1349(16),82(13),48(11),82(3)),flip(a)]. given #606 (A,wt=57): 303 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(f(f(y,y),v),f(f(f(f(f(y,w),v),v),y),f(y,v6))),u),u),y),f(y,v7)))))) = y. [para(3(a,1),13(a,1,1,2)),rewrite(3(12),3(12),3(14),3(17),3(18),3(18),3(31),3(32),3(38))]. given #607 (F,wt=9): 8396 f(f(x,x),f(y,x)) = x. [para(235(a,1),454(a,1,1)),rewrite(1392(16),8394(13),48(11),8394(3)),flip(a)]. given #608 (F,wt=11): 8395 f(x,f(f(x,x),y)) = f(x,x). [para(231(a,1),454(a,1,1)),rewrite(8394(10),8394(12),1330(14),22(10)),flip(a)]. given #609 (T,wt=11): 8397 f(x,f(y,f(x,x))) = f(x,x). [para(244(a,1),454(a,1,1)),rewrite(8394(10),8394(12),1359(14),22(10)),flip(a)]. given #610 (T,wt=11): 8888 f(f(x,x),x) = f(x,f(x,x)). [back_rewrite(4109),rewrite(8402(11),8397(3))]. given #611 (A,wt=57): 306 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(x,x)),f(f(f(x,f(x,x)),f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(z,u),u),f(y,z)),f(f(y,z),v)))))) = f(y,z). [para(22(a,1),13(a,1,2,2,1,1,1))]. given #612 (F,wt=13): 8398 f(f(f(x,y),f(x,y)),y) = f(x,y). [para(227(a,1),454(a,1,1)),rewrite(1413(26),8394(23),48(18),8394(7)),flip(a)]. given #613 (F,wt=13): 8400 f(f(f(x,y),f(x,y)),x) = f(x,y). [para(234(a,1),454(a,1,1)),rewrite(1420(26),8394(23),48(18),8394(7)),flip(a)]. given #614 (T,wt=21): 9188 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),x))) = f(y,x). [back_rewrite(8588),rewrite(8888(3))]. given #615 (T,wt=21): 9192 f(x,f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),y))) = f(x,y). [back_rewrite(8566),rewrite(8888(3))]. given #616 (A,wt=57): 310 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),f(z,z)),f(f(z,f(y,z)),f(f(y,z),v)))))) = f(y,z). [para(82(a,1),13(a,1,2,2,2,2,1,1))]. given #617 (F,wt=21): 9628 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,x)) = x. [back_rewrite(285),rewrite(8888(2),8888(4))]. given #618 (F,wt=21): 9637 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x)))) = x. [back_rewrite(202),rewrite(8888(3),8888(5))]. given #619 (T,wt=21): 9638 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y))),f(x,x)) = x. [back_rewrite(201),rewrite(8888(2),8888(4))]. given #620 (T,wt=21): 9646 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y)))) = x. [back_rewrite(74),rewrite(8888(3),8888(5))]. given #621 (A,wt=55): 311 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),y))))) = f(y,z). [para(82(a,1),13(a,1,2,2,2,2,2))]. given #622 (F,wt=21): 9706 f(x,f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),x))) = f(x,y). [para(8394(a,1),454(a,1,1)),rewrite(8394(6),8400(4),8394(5),8888(3))]. given #623 (F,wt=21): 9773 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),y))) = f(y,x). [para(8396(a,1),454(a,1,1)),rewrite(8394(6),8398(4),8394(5),8888(3))]. given #624 (T,wt=23): 9157 f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(8681),rewrite(8888(6),8398(11))]. given #625 (T,wt=23): 9216 f(f(x,y),f(f(f(f(x,y),f(x,f(x,x))),f(x,f(x,x))),x)) = x. [back_rewrite(8483),rewrite(8888(4),8888(7))]. given #626 (A,wt=59): 312 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),f(w,f(y,z))))))) = f(y,z). [para(88(a,1),13(a,1,2,2,2,2,2))]. given #627 (F,wt=23): 9217 f(f(x,y),f(f(f(f(x,y),f(y,f(y,y))),f(y,f(y,y))),y)) = y. [back_rewrite(8481),rewrite(8888(4),8888(7))]. given #628 (F,wt=23): 9233 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [back_rewrite(8414),rewrite(8888(5))]. given #629 (T,wt=23): 9235 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [back_rewrite(8412),rewrite(8888(5))]. given #630 (T,wt=23): 9397 f(f(x,y),f(f(f(f(y,x),f(y,f(y,y))),f(y,f(y,y))),y)) = y. [back_rewrite(4654),rewrite(8888(4),8888(7))]. given #631 (A,wt=39): 314 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(f(x,z),f(f(f(f(x,z),z),f(x,x)),f(f(x,x),u)))))) = f(x,x). [para(74(a,1),13(a,1,2,2,1,1,1,1)),rewrite(201(9),82(3),82(8))]. given #632 (F,wt=23): 9601 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))),f(x,x)) = x. [back_rewrite(654),rewrite(8888(4))]. given #633 (F,wt=23): 9610 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))),f(x,x)) = x. [back_rewrite(634),rewrite(8888(4))]. given #634 (T,wt=25): 8436 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u)))) = x. [para(296(a,1),454(a,1,1)),rewrite(8400(26),2610(26),8394(15),57(13),8394(3)),flip(a)]. given #635 (T,wt=25): 8437 f(f(x,x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [para(460(a,1),454(a,1,1)),rewrite(8400(26),4004(26),8394(15),57(13),8394(3)),flip(a)]. given #636 (A,wt=45): 328 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,f(y,y)),f(f(y,f(y,y)),f(f(y,y),u)))))) = f(y,y). [para(198(a,1),9(a,1,1,2)),rewrite(198(11),198(12),82(5),198(12),198(16),198(29))]. given #637 (F,wt=25): 8440 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(y,u)))) = y. [para(100(a,1),454(a,2)),rewrite(8398(4),8398(16),8398(27),8398(43),8398(55),454(55))]. given #638 (F,wt=25): 8445 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x)))) = x. [para(707(a,1),454(a,1,1)),rewrite(8400(26),4007(26),8394(15),57(13),8394(3)),flip(a)]. given #639 (T,wt=25): 8446 f(f(x,x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [para(813(a,1),454(a,1,1)),rewrite(8400(26),4009(26),8394(15),57(13),8394(3)),flip(a)]. given #640 (T,wt=25): 8452 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(x,u)))) = x. [para(1138(a,1),454(a,1,1)),rewrite(8400(26),4028(26),8394(15),57(13),8394(3)),flip(a)]. given #641 (A,wt=57): 329 f(f(x,x),f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y))),f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y))))) = f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y))). [para(198(a,1),22(a,1,1))]. given #642 (F,wt=25): 8454 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x)))) = x. [para(1217(a,1),454(a,1,1)),rewrite(8400(26),4043(26),8394(15),57(13),8394(3)),flip(a)]. given #643 (F,wt=25): 8469 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))) = x. [para(128(a,1),454(a,2)),rewrite(8400(4),8400(16),8400(27),8400(43),8400(55),454(55))]. given #644 (T,wt=25): 8486 f(x,f(f(f(f(y,x),f(y,x)),f(x,x)),f(f(x,f(y,x)),x))) = f(y,x). [para(521(a,1),454(a,2)),rewrite(8396(3),8396(14),8396(24),8396(39),8396(50),454(50))]. given #645 (T,wt=25): 8488 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [para(684(a,1),454(a,2)),rewrite(8398(4),8398(16),8398(27),8398(43),8398(55),454(55))]. given #646 (A,wt=57): 330 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(f(f(y,y),v),f(f(f(f(f(y,w),v),v),y),f(y,v6)))))))) = y. [para(22(a,1),15(a,1,2,2,1,1,1))]. given #647 (F,wt=25): 8489 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))) = x. [para(688(a,1),454(a,2)),rewrite(8400(4),8400(16),8400(27),8400(43),8400(55),454(55))]. given #648 (F,wt=25): 8494 f(x,f(f(f(f(x,y),f(x,y)),f(x,x)),f(f(x,f(x,y)),y))) = f(x,y). [para(2324(a,1),454(a,2)),rewrite(8394(3),8394(14),8394(24),8394(39),8394(50),454(50))]. given #649 (T,wt=25): 8504 f(f(x,y),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [para(4867(a,1),454(a,2)),rewrite(8400(4),8400(16),8400(27),8400(43),8400(55),454(55))]. given #650 (T,wt=25): 8506 f(f(x,y),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [para(6225(a,1),454(a,2)),rewrite(8400(4),8400(16),8400(27),8400(43),8400(55),454(55))]. given #651 (A,wt=57): 332 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),f(u,u)),f(f(f(u,f(u,u)),y),f(f(f(y,y),v),f(f(f(f(f(y,w),v),v),y),f(y,v6)))))))) = y. [para(22(a,1),15(a,1,2,2,2,2,1,1,1))]. given #652 (F,wt=25): 8508 f(f(x,y),f(f(f(f(f(x,f(x,x)),y),y),f(x,x)),f(f(x,x),z))) = x. [para(319(a,1),454(a,1,2,2,1)),rewrite(8500(12),8394(29),48(27),8394(3)),flip(a)]. given #653 (F,wt=25): 8522 f(x,f(f(x,f(x,x)),f(f(x,x),f(y,f(x,f(x,x)))))) = f(x,f(x,x)). [back_rewrite(6203),rewrite(8394(4),8394(4),8394(4))]. given #654 (T,wt=25): 8529 f(x,f(f(x,f(x,x)),f(f(x,x),f(f(x,f(x,x)),y)))) = f(x,f(x,x)). [back_rewrite(5178),rewrite(8394(4),8397(5),22(4),8394(4))]. given #655 (T,wt=25): 8540 f(f(x,x),f(f(x,f(x,x)),f(x,f(y,f(x,f(x,x)))))) = f(x,f(x,x)). [back_rewrite(4249),rewrite(8396(5),8396(4),2498(3),8400(7),8394(7))]. given #656 (A,wt=57): 333 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),f(w,w)),f(f(f(w,f(w,w)),y),f(y,v6)))))))) = y. [para(22(a,1),15(a,1,2,2,2,2,2,2,1,1,1))]. given #657 (F,wt=25): 8541 f(f(x,x),f(f(x,f(x,x)),f(x,f(f(x,f(x,x)),y)))) = f(x,f(x,x)). [back_rewrite(4246),rewrite(8396(5),8396(4),2498(3),8400(7),8394(7))]. given #658 (F,wt=25): 9084 f(f(x,f(y,y)),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [back_rewrite(8807),rewrite(8888(6))]. given #659 (T,wt=25): 9103 f(f(x,f(y,y)),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [back_rewrite(8776),rewrite(8888(6))]. given #660 (T,wt=25): 9187 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(8589),rewrite(8888(3))]. given #661 (A,wt=59): 339 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(f(f(y,y),v),f(f(f(f(f(y,w),v),v),y),f(y,v6)))))))) = y. [para(82(a,1),15(a,1,2,2,1,1))]. given #662 (F,wt=15): 11076 f(x,f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(8397(a,1),9187(a,1,2,2)),rewrite(88(11))]. given #663 (F,wt=15): 11142 f(x,f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(8400(a,1),11076(a,1,2,2)),rewrite(8400(9))]. given #664 (T,wt=19): 11140 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),x)) = x. [para(8394(a,1),11076(a,1,2,2)),rewrite(8394(11))]. given #665 (T,wt=19): 11141 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),y)) = y. [para(8396(a,1),11076(a,1,2,2)),rewrite(8396(11))]. given #666 (A,wt=59): 340 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),f(f(y,u),f(y,u))),f(f(f(y,u),y),f(f(f(y,y),v),f(f(f(f(f(y,w),v),v),y),f(y,v6)))))))) = y. [para(82(a,1),15(a,1,2,2,2,2,1,1))]. given #667 (F,wt=19): 11170 f(f(x,x),f(f(x,f(x,x)),f(y,x))) = f(x,f(x,x)). [para(11076(a,1),8541(a,1,2,2))]. given #668 (F,wt=19): 11254 f(f(x,x),f(f(x,f(x,x)),f(x,y))) = f(x,f(x,x)). [para(11142(a,1),8541(a,1,2,2))]. given #669 (T,wt=19): 11328 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(9628(a,1),11140(a,1,1)),rewrite(9628(9),9628(9),9628(9),11226(10),11076(5)),flip(a)]. given #670 (T,wt=17): 11613 f(f(x,f(x,x)),f(f(y,x),f(y,x))) = f(y,x). [para(11328(a,1),97(a,1,2,1)),rewrite(11328(10),11328(13))]. given #671 (A,wt=59): 341 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),f(f(y,w),f(y,w))),f(f(f(y,w),y),f(y,v6)))))))) = y. [para(82(a,1),15(a,1,2,2,2,2,2,2,1,1))]. given #672 (F,wt=17): 11617 f(f(x,f(x,x)),f(y,x)) = f(f(y,x),f(y,x)). [para(11328(a,1),47(a,1,1)),rewrite(11329(24),11328(23),8397(21)),flip(a)]. given #673 (F,wt=15): 11759 f(x,f(f(y,f(y,y)),f(x,y))) = f(x,y). [para(11617(a,2),97(a,1,2))]. given #674 (T,wt=15): 11876 f(f(f(x,f(x,x)),f(y,x)),x) = f(y,x). [para(11617(a,2),90(a,1,1)),rewrite(8394(14),8888(9),8888(14),11659(16))]. given #675 (T,wt=15): 12012 f(f(f(x,f(x,x)),f(y,x)),y) = f(y,x). [para(11617(a,2),8400(a,1,1))]. given #676 (A,wt=57): 342 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(f(f(x,x),w),f(f(f(f(f(x,v6),w),w),x),f(x,v7))))))),f(x,x)) = x. [para(15(a,1),88(a,1,2,1)),rewrite(15(52),15(54))]. given #677 (F,wt=15): 12430 f(f(f(x,f(x,x)),f(x,y)),x) = f(x,y). [para(8400(a,1),11876(a,1,1,2)),rewrite(8400(9))]. given #678 (F,wt=17): 11660 f(f(f(x,y),f(x,y)),f(y,f(y,y))) = f(x,y). [para(11328(a,1),8400(a,1,1,1)),rewrite(11328(8),11328(13))]. given #679 (T,wt=17): 11687 f(x,f(f(y,x),f(f(x,f(y,x)),x))) = f(y,x). [back_rewrite(8559),rewrite(11660(6))]. given #680 (T,wt=17): 11709 f(f(f(x,y),f(f(x,y),f(x,y))),f(x,x)) = x. [para(8394(a,1),11613(a,1,2,1)),rewrite(8394(8),8394(10))]. given #681 (A,wt=57): 343 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(v,y),u),u),y),f(f(f(y,y),w),f(f(f(f(f(y,v6),w),w),y),f(y,v7)))))))) = y. [para(88(a,1),15(a,1,2,2,2,2,1,1,1,1))]. given #682 (F,wt=17): 11710 f(f(f(x,y),f(f(x,y),f(x,y))),f(y,y)) = y. [para(8396(a,1),11613(a,1,2,1)),rewrite(8396(8),8396(10))]. given #683 (F,wt=17): 11713 f(f(x,f(x,x)),f(f(x,y),f(x,y))) = f(x,y). [para(8400(a,1),11613(a,1,2,1)),rewrite(8400(7),8400(10))]. given #684 (T,wt=17): 12000 f(f(f(x,y),f(f(x,y),f(x,y))),x) = f(x,x). [para(8394(a,1),11617(a,1,2)),rewrite(8394(9),8394(9))]. given #685 (T,wt=11): 12722 f(f(x,f(x,x)),y) = f(y,y). [para(11076(a,1),12000(a,1,1,1)),rewrite(11076(6),11076(7),12715(5))]. given #686 (A,wt=57): 344 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),w),f(f(f(f(f(v6,y),w),w),y),f(y,v7)))))))) = y. [para(88(a,1),15(a,1,2,2,2,2,2,2,1,1,1,1))]. given #687 (F,wt=11): 12782 f(x,f(x,f(x,y))) = f(x,y). [back_rewrite(9203),rewrite(12715(5),8397(3),12715(6),8394(4))]. given #688 (F,wt=11): 12833 f(x,f(y,f(y,y))) = f(x,x). [back_rewrite(12510),rewrite(12715(8))]. NOTE: New constant: f(x,f(x,x)) = c_0. [new_symbol(14306)]. NOTE: New Function symbol precedence: lex([ c1, c2, c3, c4, c5, c6, c_0, f ]). restricted denial: (wt=15): 15585 f(c1,f(f(c2,c3),c_0)) != f(c2,f(f(c1,c3),c_0)) # answer(A_SS). [back_rewrite(4),rewrite(14500(8,R),14500(15,R))]. given #689 (T,wt=7): 14371 f(x,f(x,x)) = c_0. [new_symbol(14306)]. given #690 (T,wt=7): 14500 f(x,c_0) = f(x,x). [back_rewrite(14215),rewrite(14371(3),14371(4),14404(5),8395(4),82(3),14371(3)),flip(a)]. given #691 (A,wt=57): 345 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),w),f(f(f(f(f(y,v6),w),w),y),f(v7,y)))))))) = y. [para(88(a,1),15(a,1,2,2,2,2,2,2,2))]. given #692 (F,wt=7): 14553 f(c_0,f(x,x)) = x. [back_rewrite(13941),rewrite(14371(2),14371(5),14403(5),14500(5),9978(22),57(4))]. given #693 (F,wt=7): 14873 f(x,f(c_0,c_0)) = c_0. [back_rewrite(12813),rewrite(14371(2),14371(3),14371(6))]. given #694 (T,wt=7): 14875 f(f(c_0,c_0),x) = c_0. [back_rewrite(12806),rewrite(14371(2),14371(3),14371(6))]. given #695 (T,wt=7): 15158 f(f(x,x),x) = c_0. [back_rewrite(8888),rewrite(14371(4))]. given #696 (A,wt=57): 709 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(f(f(y,y),v),f(f(f(f(f(y,w),v),v),y),f(v6,y))),u),u),y),f(y,v7)))))) = y. [para(102(a,1),13(a,1,1,2)),rewrite(102(12),102(12),102(14),102(17),102(18),102(18),102(31),102(32),102(38))]. given #697 (F,wt=7): 15175 f(c_0,x) = f(x,x). [back_rewrite(14403),rewrite(14500(4))]. given #698 (F,wt=7): 15591 f(f(x,x),c_0) = x. [back_rewrite(14745),rewrite(14783(14),15175(9),8396(10),57(8),14500(3,R))]. given #699 (T,wt=11): 12960 f(f(x,f(x,y)),x) = f(x,y). [back_rewrite(12226),rewrite(12715(5),11076(7))]. given #700 (T,wt=11): 13952 f(f(x,y),f(f(x,y),y)) = y. [para(3(a,1),12782(a,1,2,2)),rewrite(3(15))]. given #701 (A,wt=57): 751 f(f(x,y),f(f(f(y,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))),y),f(v,y)))) = y. [para(102(a,1),102(a,1,2,2,1,1,1))]. given #702 (F,wt=11): 13960 f(x,f(x,f(y,x))) = f(y,x). [para(88(a,1),12782(a,1,2,2)),rewrite(88(7))]. given #703 (F,wt=11): 14441 f(f(c_0,f(x,y)),x) = f(x,y). [back_rewrite(14301),rewrite(14371(3),14403(3,R))]. restricted denial: (wt=15): 16561 f(c1,f(c_0,f(c2,c3))) != f(c2,f(c_0,f(c1,c3))) # answer(A_SS). [back_rewrite(15585),rewrite(16430(6),16430(13))]. given #704 (T,wt=11): 14442 f(f(c_0,f(x,y)),y) = f(x,y). [back_rewrite(14300),rewrite(14371(3),14403(3,R))]. given #705 (T,wt=11): 14530 f(x,f(c_0,f(x,y))) = f(x,y). [back_rewrite(14091),rewrite(14371(3),14403(3,R))]. given #706 (A,wt=47): 757 f(f(f(x,y),f(f(f(f(f(f(x,x),z),y),y),f(x,x)),f(f(x,u),f(f(f(f(f(f(x,x),v),u),u),f(x,x)),f(f(x,x),w))))),x) = f(x,x). [para(50(a,1),88(a,1,2,1)),rewrite(50(44),82(23),50(44))]. given #707 (F,wt=11): 14534 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(14079),rewrite(14371(3),14403(3,R))]. given #708 (F,wt=11): 14548 f(f(c_0,f(x,y)),f(y,y)) = c_0. [back_rewrite(13948),rewrite(14500(3,R),14403(3,R),14371(5),14403(5),14500(5),14371(7))]. given #709 (T,wt=11): 14564 f(f(x,x),f(c_0,f(x,y))) = c_0. [back_rewrite(13907),rewrite(14371(3),14403(3),14500(3),14371(3),14371(7))]. given #710 (T,wt=11): 14565 f(f(x,x),f(c_0,f(y,x))) = c_0. [back_rewrite(13905),rewrite(14371(3),14403(3),14500(3),14371(3),14371(7))]. given #711 (A,wt=51): 758 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,u),f(f(f(f(f(v,f(y,y)),u),u),f(y,y)),f(f(y,y),w)))))) = f(y,y). [para(88(a,1),50(a,1,2,2,2,2,1,1,1,1))]. given #712 (F,wt=11): 14588 f(f(c_0,f(f(x,y),y)),x) = c_0. [back_rewrite(13776),rewrite(14371(4),14403(4,R),14371(7))]. given #713 (F,wt=11): 14783 f(f(x,y),f(c_0,f(x,y))) = c_0. [back_rewrite(13031),rewrite(14371(3),14371(7))]. given #714 (T,wt=11): 14785 f(f(c_0,f(x,y)),f(x,x)) = c_0. [back_rewrite(13007),rewrite(14500(3,R),14403(3,R),14371(7))]. given #715 (T,wt=11): 14874 f(c_0,f(c_0,f(x,y))) = f(x,y). [back_rewrite(12809),rewrite(14371(2),14371(3),14371(4),14500(8,R),14403(8,R),14711(16))]. given #716 (A,wt=51): 759 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,u),f(f(f(f(f(f(y,y),v),u),u),f(y,y)),f(w,f(y,y))))))) = f(y,y). [para(88(a,1),50(a,1,2,2,2,2,2))]. given #717 (F,wt=11): 14999 f(x,f(c_0,f(f(x,x),y))) = c_0. [back_rewrite(11519),rewrite(14371(2),14371(7))]. given #718 (F,wt=11): 15043 f(x,f(c_0,f(y,f(x,x)))) = c_0. [back_rewrite(11423),rewrite(14371(2),14371(7))]. given #719 (T,wt=11): 15167 f(f(c_0,f(x,y)),f(x,y)) = c_0. [back_rewrite(14372),rewrite(14500(3,R),14403(3,R),14403(6,R),14403(8,R),14874(8))]. given #720 (T,wt=11): 15858 f(f(x,y),x) = f(x,f(x,y)). [para(12782(a,1),12960(a,1,1))]. given #721 (A,wt=21): 11686 f(x,f(f(y,x),f(f(x,f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(8560),rewrite(11660(6))]. given #722 (F,wt=11): 16188 f(f(x,y),f(x,f(x,y))) = x. [back_rewrite(13959),rewrite(15858(3))]. given #723 (F,wt=11): 16203 f(f(x,y),f(y,f(y,x))) = y. [back_rewrite(13190),rewrite(15858(3))]. given #724 (T,wt=11): 16430 f(f(x,y),c_0) = f(c_0,f(x,y)). [para(14441(a,1),82(a,1,1)),rewrite(14500(8,R),15858(6),14874(6),14500(3,R))]. given #725 (T,wt=11): 16899 f(f(c_0,f(x,f(y,y))),y) = c_0. [para(22(a,1),14548(a,1,2))]. given #726 (A,wt=21): 12528 f(x,f(f(x,y),f(f(x,f(x,y)),f(f(x,y),z)))) = f(x,y). [back_rewrite(8551),rewrite(12511(6))]. given #727 (F,wt=11): 16956 f(f(c_0,f(f(x,x),y)),x) = c_0. [para(57(a,1),14564(a,1,2,2)),rewrite(14500(5,R),16430(4),14553(7))]. given #728 (F,wt=11): 17267 f(f(x,y),y) = f(y,f(x,y)). [para(3(a,1),15858(a,1,1)),rewrite(3(14)),flip(a)]. given #729 (T,wt=11): 17394 f(f(x,y),f(y,f(x,y))) = y. [para(15858(a,1),8488(a,1,2,2)),rewrite(15858(3),14371(3),17267(4),15858(5),13960(5),17267(5),15858(6),13960(6),17267(5),14530(8))]. given #730 (T,wt=11): 17567 f(x,f(c_0,f(y,f(x,y)))) = c_0. [back_rewrite(17066),rewrite(17267(3))]. given #731 (A,wt=21): 12783 f(x,f(f(x,y),f(f(x,f(x,y)),f(z,f(x,y))))) = f(x,y). [back_rewrite(9202),rewrite(12715(6),12782(4),12715(7),8394(5))]. given #732 (F,wt=11): 18567 f(f(c_0,f(x,f(y,x))),y) = c_0. [back_rewrite(14588),rewrite(17267(3))]. given #733 (F,wt=11): 18956 f(f(x,y),f(c_0,f(y,x))) = c_0. [para(16203(a,1),17567(a,1,2,2,2)),rewrite(15858(5),12782(5))]. given #734 (T,wt=11): 18967 f(f(c_0,f(x,y)),f(y,x)) = c_0. [para(16203(a,1),18567(a,1,1,2,2)),rewrite(15858(4),12782(4))]. given #735 (T,wt=15): 14622 f(f(c_0,f(x,y)),f(c_0,f(f(x,y),z))) = c_0. [back_rewrite(13428),rewrite(14500(3,R),14403(3,R),14371(5),14371(10))]. given #736 (A,wt=15): 14623 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,y)))) = c_0. [back_rewrite(13427),rewrite(14500(3,R),14403(3,R),14371(5),14371(10))]. given #737 (F,wt=15): 14786 f(x,f(c_0,f(f(x,f(x,y)),y))) = f(x,y). [back_rewrite(13006),rewrite(14371(2))]. given #738 (F,wt=15): 15611 f(f(x,f(y,z)),f(c_0,f(y,z))) = f(y,z). [back_rewrite(14577),rewrite(15607(9))]. given #739 (T,wt=15): 15880 f(f(x,x),f(c_0,f(f(x,y),f(x,z)))) = x. [back_rewrite(15847),rewrite(15858(4),15858(5),12782(5))]. given #740 (T,wt=13): 19022 f(f(x,x),f(f(x,y),f(x,z))) = c_0. [para(15880(a,1),14548(a,1,1,2)),rewrite(15175(2),14500(12,R),15858(8),14874(8))]. given #741 (A,wt=21): 14704 f(x,f(f(y,x),f(f(x,f(y,x)),f(z,f(y,x))))) = f(y,x). [back_rewrite(13154),rewrite(14371(3),14500(3),14371(4),14403(4,R),14553(4))]. given #742 (F,wt=13): 19023 f(f(f(x,y),f(x,z)),f(x,x)) = c_0. [para(15880(a,1),14565(a,1,2,2)),rewrite(14500(11,R),15858(7),14874(7),15175(5))]. given #743 (F,wt=13): 19042 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [para(13960(a,1),19022(a,1,2,1))]. given #744 (T,wt=13): 19043 f(f(x,x),f(f(x,y),f(z,x))) = c_0. [para(13960(a,1),19022(a,1,2,2))]. given #745 (T,wt=13): 19068 f(f(f(x,y),f(y,z)),f(y,y)) = c_0. [para(13960(a,1),19023(a,1,1,1))]. given #746 (A,wt=19): 14787 f(x,f(c_0,f(f(x,f(x,y)),f(z,f(x,y))))) = f(x,y). [back_rewrite(13005),rewrite(14371(2))]. given #747 (F,wt=13): 19069 f(f(f(x,y),f(z,x)),f(x,x)) = c_0. [para(13960(a,1),19023(a,1,1,2))]. given #748 (F,wt=13): 19079 f(f(x,x),f(f(y,x),f(z,x))) = c_0. [para(13960(a,1),19042(a,1,2,2))]. given #749 (T,wt=13): 19098 f(f(f(x,y),f(z,y)),f(y,y)) = c_0. [para(13960(a,1),19068(a,1,1,2))]. given #750 (T,wt=15): 15894 f(f(c_0,f(f(x,y),f(x,z))),f(x,x)) = x. [back_rewrite(15815),rewrite(15858(3),15858(4),12782(4))]. given #751 (A,wt=19): 14788 f(x,f(c_0,f(f(x,f(x,y)),f(f(x,y),z)))) = f(x,y). [back_rewrite(13004),rewrite(14371(2))]. given #752 (F,wt=15): 17249 f(f(c_0,f(x,y)),f(f(x,y),z)) = f(x,y). [para(15167(a,1),116(a,1,2,1)),rewrite(15167(9),14500(14,R),15858(12),14874(12),15167(9),14500(12,R),15858(10),14874(10),14874(9),14500(13,R),15858(11),14874(11))]. given #753 (F,wt=15): 17250 f(f(c_0,f(x,y)),f(z,f(x,y))) = f(x,y). [para(15167(a,1),691(a,1,2,1)),rewrite(15167(9),14500(14,R),15858(12),14874(12),15167(9),14500(12,R),15858(10),14874(10),14874(9),14500(13,R),15858(11),14874(11))]. given #754 (T,wt=15): 17251 f(f(f(x,y),z),f(c_0,f(x,y))) = f(x,y). [para(15167(a,1),770(a,1,1,2,1,1,1)),rewrite(14500(3,R),16430(3),15167(5),15167(6),14874(6),14500(5,R),16430(5))]. given #755 (T,wt=15): 18972 f(x,f(c_0,f(f(x,f(x,y)),f(y,x)))) = c_0. [para(16203(a,1),18956(a,1,1))]. given #756 (A,wt=19): 14789 f(x,f(c_0,f(f(x,f(y,x)),f(z,f(y,x))))) = f(y,x). [back_rewrite(13001),rewrite(14371(2))]. given #757 (F,wt=15): 18981 f(f(c_0,f(f(x,f(x,y)),f(y,x))),x) = c_0. [para(16203(a,1),18967(a,1,2))]. given #758 (F,wt=15): 18986 f(f(x,y),f(c_0,f(f(c_0,f(x,y)),z))) = c_0. [para(14874(a,1),14622(a,1,1))]. given #759 (T,wt=15): 18988 f(f(c_0,f(f(x,y),z)),f(c_0,f(x,y))) = c_0. [para(14622(a,1),18567(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #760 (T,wt=15): 18989 f(f(x,y),f(c_0,f(z,f(c_0,f(x,y))))) = c_0. [para(14874(a,1),14623(a,1,1))]. given #761 (A,wt=19): 14790 f(x,f(c_0,f(f(x,f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(13000),rewrite(14371(2))]. given #762 (F,wt=15): 18991 f(f(c_0,f(x,f(y,z))),f(c_0,f(y,z))) = c_0. [para(14623(a,1),18567(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #763 (F,wt=15): 19008 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,z)) = c_0. [para(15611(a,1),14548(a,1,2))]. given #764 (T,wt=15): 19009 f(f(c_0,f(f(c_0,f(x,y)),z)),f(x,y)) = c_0. [para(15611(a,1),14785(a,1,2))]. given #765 (T,wt=15): 19020 f(f(x,x),f(c_0,f(f(y,x),f(x,z)))) = x. [para(13960(a,1),15880(a,1,2,2,1))]. given #766 (A,wt=19): 14794 f(f(c_0,f(f(x,f(x,y)),y)),f(c_0,f(x,y))) = f(x,y). [back_rewrite(12994),rewrite(14371(2),14371(7))]. given #767 (F,wt=15): 19021 f(f(x,x),f(c_0,f(f(x,y),f(z,x)))) = x. [para(13960(a,1),15880(a,1,2,2,2))]. given #768 (F,wt=15): 19035 f(x,f(f(f(x,x),y),f(f(x,x),z))) = c_0. [para(22(a,1),19022(a,1,1))]. given #769 (T,wt=15): 19036 f(f(c_0,f(x,y)),f(y,f(f(x,y),z))) = c_0. [para(22(a,1),19022(a,1,2,1)),rewrite(14500(3,R),16430(3))]. given #770 (T,wt=15): 19037 f(f(c_0,f(x,y)),f(f(f(x,y),z),y)) = c_0. [para(22(a,1),19022(a,1,2,2)),rewrite(14500(3,R),16430(3))]. given #771 (A,wt=33): 14802 f(f(f(x,y),f(f(f(f(x,y),f(c_0,f(f(x,f(x,y)),y))),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [back_rewrite(12971),rewrite(14371(4))]. given #772 (F,wt=15): 19040 f(f(c_0,f(x,y)),f(x,f(f(x,y),z))) = c_0. [para(82(a,1),19022(a,1,2,1)),rewrite(14500(3,R),16430(3))]. given #773 (F,wt=15): 19041 f(f(c_0,f(x,y)),f(f(f(x,y),z),x)) = c_0. [para(82(a,1),19022(a,1,2,2)),rewrite(14500(3,R),16430(3))]. given #774 (T,wt=15): 19061 f(f(x,f(f(y,x),z)),f(c_0,f(y,x))) = c_0. [para(22(a,1),19023(a,1,1,1)),rewrite(14500(6,R),16430(6))]. given #775 (T,wt=15): 19062 f(f(f(f(x,y),z),y),f(c_0,f(x,y))) = c_0. [para(22(a,1),19023(a,1,1,2)),rewrite(14500(6,R),16430(6))]. given #776 (A,wt=33): 14803 f(f(f(x,y),f(f(f(f(x,y),f(c_0,f(f(x,f(x,y)),y))),f(x,x)),f(f(x,x),z))),x) = f(x,x). [back_rewrite(12970),rewrite(14371(4))]. given #777 (F,wt=15): 19063 f(f(f(f(x,x),y),f(f(x,x),z)),x) = c_0. [para(22(a,1),19023(a,1,2))]. given #778 (F,wt=15): 19066 f(f(x,f(f(x,y),z)),f(c_0,f(x,y))) = c_0. [para(82(a,1),19023(a,1,1,1)),rewrite(14500(6,R),16430(6))]. given #779 (T,wt=15): 19067 f(f(f(f(x,y),z),x),f(c_0,f(x,y))) = c_0. [para(82(a,1),19023(a,1,1,2)),rewrite(14500(6,R),16430(6))]. given #780 (T,wt=15): 19075 f(x,f(f(y,f(x,x)),f(f(x,x),z))) = c_0. [para(22(a,1),19042(a,1,1))]. given #781 (A,wt=33): 14804 f(x,f(f(x,y),f(f(f(f(x,y),f(c_0,f(f(x,f(x,y)),y))),f(x,x)),f(z,f(x,x))))) = f(x,x). [back_rewrite(12969),rewrite(14371(4))]. given #782 (F,wt=15): 19076 f(f(c_0,f(x,y)),f(f(z,f(x,y)),y)) = c_0. [para(22(a,1),19042(a,1,2,2)),rewrite(14500(3,R),16430(3))]. given #783 (F,wt=15): 19078 f(f(c_0,f(x,y)),f(f(z,f(x,y)),x)) = c_0. [para(82(a,1),19042(a,1,2,2)),rewrite(14500(3,R),16430(3))]. given #784 (T,wt=15): 19085 f(x,f(f(f(x,x),y),f(z,f(x,x)))) = c_0. [para(22(a,1),19043(a,1,1))]. given #785 (T,wt=15): 19086 f(f(c_0,f(x,y)),f(y,f(z,f(x,y)))) = c_0. [para(22(a,1),19043(a,1,2,1)),rewrite(14500(3,R),16430(3))]. given #786 (A,wt=33): 14805 f(x,f(f(x,y),f(f(f(f(x,y),f(c_0,f(f(x,f(x,y)),y))),f(x,x)),f(f(x,x),z)))) = f(x,x). [back_rewrite(12967),rewrite(14371(4))]. given #787 (F,wt=15): 19088 f(f(c_0,f(x,y)),f(x,f(z,f(x,y)))) = c_0. [para(82(a,1),19043(a,1,2,1)),rewrite(14500(3,R),16430(3))]. given #788 (F,wt=15): 19094 f(f(f(x,f(y,z)),z),f(c_0,f(y,z))) = c_0. [para(22(a,1),19068(a,1,1,2)),rewrite(14500(6,R),16430(6))]. given #789 (T,wt=15): 19095 f(f(f(x,f(y,y)),f(f(y,y),z)),y) = c_0. [para(22(a,1),19068(a,1,2))]. given #790 (T,wt=15): 19097 f(f(f(x,f(y,z)),y),f(c_0,f(y,z))) = c_0. [para(82(a,1),19068(a,1,1,2)),rewrite(14500(6,R),16430(6))]. given #791 (A,wt=23): 14828 f(f(c_0,f(f(x,f(x,y)),f(z,f(x,y)))),f(c_0,f(x,y))) = f(x,y). [back_rewrite(12939),rewrite(14371(2),14500(10,R),14403(10,R))]. given #792 (F,wt=15): 19129 f(f(x,f(y,f(z,x))),f(c_0,f(z,x))) = c_0. [para(22(a,1),19069(a,1,1,1)),rewrite(14500(6,R),16430(6))]. given #793 (F,wt=15): 19130 f(f(f(f(x,x),y),f(z,f(x,x))),x) = c_0. [para(22(a,1),19069(a,1,2))]. given #794 (T,wt=15): 19132 f(f(x,f(y,f(x,z))),f(c_0,f(x,z))) = c_0. [para(82(a,1),19069(a,1,1,1)),rewrite(14500(6,R),16430(6))]. given #795 (T,wt=15): 19138 f(x,f(f(y,f(x,x)),f(z,f(x,x)))) = c_0. [para(22(a,1),19079(a,1,1))]. given #796 (A,wt=23): 14829 f(f(c_0,f(f(x,f(x,y)),f(f(x,y),z))),f(c_0,f(x,y))) = f(x,y). [back_rewrite(12938),rewrite(14371(2),14500(10,R),14403(10,R))]. given #797 (F,wt=15): 19146 f(f(f(x,f(y,y)),f(z,f(y,y))),y) = c_0. [para(22(a,1),19098(a,1,2))]. given #798 (F,wt=15): 19161 f(f(c_0,f(f(x,y),f(y,z))),f(y,y)) = y. [para(13960(a,1),15894(a,1,1,2,1))]. given #799 (T,wt=15): 19162 f(f(c_0,f(f(x,y),f(z,x))),f(x,x)) = x. [para(13960(a,1),15894(a,1,1,2,2))]. given #800 (T,wt=15): 19214 f(x,f(c_0,f(f(x,f(y,x)),y))) = f(y,x). [para(8394(a,1),14789(a,1,2,2,2))]. given #801 (A,wt=23): 14849 f(f(c_0,f(x,y)),f(c_0,f(f(y,f(x,y)),f(f(x,y),z)))) = f(x,y). [back_rewrite(12891),rewrite(14500(3,R),14403(3,R),14371(5))]. given #802 (F,wt=15): 19304 f(f(x,x),f(c_0,f(f(y,x),f(z,x)))) = x. [para(13960(a,1),19020(a,1,2,2,2))]. given #803 (F,wt=15): 19559 f(f(c_0,f(f(x,y),f(z,y))),f(y,y)) = y. [para(13960(a,1),19161(a,1,1,2,2))]. given #804 (T,wt=17): 15587 f(f(x,y),f(z,f(c_0,f(x,y)))) = f(c_0,f(x,y)). [back_rewrite(14620),rewrite(14874(9))]. given #805 (T,wt=17): 15588 f(f(x,f(c_0,f(y,z))),f(y,z)) = f(c_0,f(y,z)). [back_rewrite(14618),rewrite(14874(8))]. given #806 (A,wt=23): 14865 f(f(c_0,f(f(x,f(y,x)),f(z,f(y,x)))),f(c_0,f(y,x))) = f(y,x). [back_rewrite(12855),rewrite(14371(2),14500(10,R),14403(10,R))]. given #807 (F,wt=17): 15603 f(f(x,y),f(f(c_0,f(x,y)),z)) = f(c_0,f(x,y)). [back_rewrite(14782),rewrite(14874(9))]. given #808 (F,wt=17): 15607 f(f(f(c_0,f(x,y)),z),f(x,y)) = f(c_0,f(x,y)). [back_rewrite(14619),rewrite(14874(8))]. given #809 (T,wt=17): 15878 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(z,x)))) = x. [back_rewrite(15853),rewrite(15858(5),15858(6),12782(6))]. given #810 (T,wt=17): 15879 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(x,z)))) = x. [back_rewrite(15851),rewrite(15858(5),15858(6),12782(6))]. given #811 (A,wt=23): 14866 f(f(c_0,f(f(x,f(y,x)),f(f(y,x),z))),f(c_0,f(y,x))) = f(y,x). [back_rewrite(12854),rewrite(14371(2),14500(10,R),14403(10,R))]. given #812 (F,wt=17): 15932 f(f(x,y),f(c_0,f(f(x,f(x,y)),f(x,z)))) = x. [back_rewrite(15688),rewrite(15858(4),15858(5),12782(5),15858(4))]. given #813 (F,wt=17): 15938 f(f(x,y),f(c_0,f(f(y,f(y,x)),f(y,z)))) = y. [back_rewrite(15612),rewrite(15858(4),15858(5),12782(5),15858(4))]. given #814 (T,wt=17): 16045 f(f(x,y),f(c_0,f(f(y,f(y,x)),f(z,y)))) = y. [back_rewrite(15120),rewrite(15858(4),15858(5),12782(5),15858(4))]. given #815 (T,wt=11): 19798 f(f(x,f(x,y)),f(y,x)) = x. [para(16045(a,1),14534(a,1)),flip(a)]. given #816 (A,wt=45): 14889 f(f(f(x,f(f(c_0,f(f(x,x),y)),z)),f(f(f(f(c_0,f(f(x,x),y)),f(f(c_0,f(f(x,x),y)),z)),f(x,x)),f(f(x,x),u))),x) = f(x,x). [back_rewrite(12747),rewrite(14371(2),14371(8),14371(12))]. given #817 (F,wt=15): 19834 f(f(x,f(x,y)),f(c_0,f(x,f(y,x)))) = c_0. [para(19798(a,1),17567(a,1,2,2,2)),rewrite(17267(5))]. given #818 (F,wt=15): 19835 f(f(c_0,f(x,f(y,x))),f(x,f(x,y))) = c_0. [para(19798(a,1),18567(a,1,1,2,2)),rewrite(17267(3))]. given #819 (T,wt=17): 16059 f(f(x,y),f(c_0,f(f(x,f(x,y)),f(z,x)))) = x. [back_rewrite(15081),rewrite(15858(4),15858(5),12782(5),15858(4))]. given #820 (T,wt=17): 16192 f(f(x,y),f(y,f(f(y,f(y,x)),f(y,z)))) = y. [back_rewrite(13531),rewrite(15858(3),15858(4),12782(4),15858(3))]. given #821 (A,wt=45): 14890 f(f(f(x,f(f(c_0,f(f(x,x),y)),z)),f(f(f(f(c_0,f(f(x,x),y)),f(f(c_0,f(f(x,x),y)),z)),f(x,x)),f(u,f(x,x)))),x) = f(x,x). [back_rewrite(12746),rewrite(14371(2),14371(8),14371(12))]. given #822 (F,wt=17): 16193 f(f(x,y),f(x,f(f(x,f(x,y)),f(x,z)))) = x. [back_rewrite(13522),rewrite(15858(3),15858(4),12782(4),15858(3))]. given #823 (F,wt=17): 16204 f(f(x,y),f(x,f(f(x,f(x,y)),f(z,x)))) = x. [back_rewrite(12525),rewrite(15858(3))]. given #824 (T,wt=17): 16205 f(f(x,y),f(y,f(f(y,f(y,x)),f(z,y)))) = y. [back_rewrite(12523),rewrite(15858(3))]. given #825 (T,wt=17): 16266 f(f(f(x,y),f(c_0,f(z,f(x,x)))),x) = f(x,x). [back_rewrite(13984),rewrite(16188(5),14371(3))]. given #826 (A,wt=45): 14891 f(f(f(x,f(y,f(c_0,f(f(x,x),z)))),f(f(f(f(c_0,f(f(x,x),z)),f(y,f(c_0,f(f(x,x),z)))),f(x,x)),f(f(x,x),u))),x) = f(x,x). [back_rewrite(12745),rewrite(14371(2),14371(8),14371(12))]. given #827 (F,wt=17): 16268 f(f(f(x,y),f(c_0,f(f(x,x),z))),x) = f(x,x). [back_rewrite(13979),rewrite(16188(5),14371(3))]. given #828 (F,wt=17): 16270 f(x,f(f(x,y),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(13975),rewrite(16188(5),14371(3))]. given #829 (T,wt=17): 16272 f(x,f(f(x,y),f(c_0,f(f(x,x),z)))) = f(x,x). [back_rewrite(13971),rewrite(16188(5),14371(3))]. given #830 (T,wt=17): 16893 f(f(c_0,f(x,y)),f(c_0,f(f(y,y),f(z,z)))) = c_0. [para(14548(a,1),3(a,1,2,2,1,1,1)),rewrite(16430(3),14875(8),14553(7),14500(6),15175(7))]. given #831 (A,wt=45): 14892 f(f(f(x,f(y,f(c_0,f(f(x,x),z)))),f(f(f(f(c_0,f(f(x,x),z)),f(y,f(c_0,f(f(x,x),z)))),f(x,x)),f(u,f(x,x)))),x) = f(x,x). [back_rewrite(12744),rewrite(14371(2),14371(8),14371(12))]. given #832 (F,wt=15): 20208 f(f(c_0,f(x,y)),f(c_0,f(f(y,y),z))) = c_0. [para(22(a,1),16893(a,1,2,2,2))]. given #833 (F,wt=15): 20246 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,z))) = c_0. [para(22(a,1),20208(a,1,2,2,1))]. given #834 (T,wt=15): 20247 f(f(x,x),f(c_0,f(f(c_0,f(x,y)),z))) = c_0. [para(8394(a,1),20208(a,1,1,2)),rewrite(15175(2),14500(5,R),16430(5))]. given #835 (T,wt=15): 20248 f(f(x,x),f(c_0,f(f(c_0,f(y,x)),z))) = c_0. [para(8396(a,1),20208(a,1,1,2)),rewrite(15175(2),14500(5,R),16430(5))]. given #836 (A,wt=35): 14898 f(f(x,x),f(f(f(c_0,f(f(x,x),y)),f(z,x)),f(f(f(x,f(z,x)),f(f(x,x),y)),y))) = f(f(x,x),y). [back_rewrite(12735),rewrite(14371(3))]. given #837 (F,wt=15): 20249 f(x,f(c_0,f(f(c_0,f(f(x,x),y)),z))) = c_0. [para(8395(a,1),20208(a,1,1,2)),rewrite(14553(3),14500(6,R),16430(5))]. given #838 (F,wt=15): 20250 f(x,f(c_0,f(f(c_0,f(y,f(x,x))),z))) = c_0. [para(8397(a,1),20208(a,1,1,2)),rewrite(14553(3),14500(6,R),16430(5))]. given #839 (T,wt=15): 20253 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,y)))) = c_0. [para(13960(a,1),20208(a,1,2,2))]. given #840 (T,wt=15): 20254 f(f(c_0,f(x,y)),f(c_0,f(f(x,x),z))) = c_0. [para(14441(a,1),20208(a,1,1,2))]. given #841 (A,wt=35): 14899 f(f(x,x),f(f(f(c_0,f(f(x,x),y)),f(x,z)),f(f(f(x,f(x,z)),f(f(x,x),y)),y))) = f(f(x,x),y). [back_rewrite(12734),rewrite(14371(3))]. given #842 (F,wt=15): 20256 f(f(c_0,f(f(x,x),y)),f(c_0,f(z,x))) = c_0. [para(20208(a,1),18567(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #843 (F,wt=15): 20295 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,z)) = c_0. [para(22(a,1),20246(a,1,2,2)),rewrite(14500(4,R),16430(4),15175(8))]. given #844 (T,wt=15): 20296 f(f(c_0,f(x,f(c_0,f(y,f(z,z))))),z) = c_0. [para(48(a,1),20246(a,1,2,2)),rewrite(14500(6,R),16430(5),14553(10))]. given #845 (T,wt=15): 20297 f(f(c_0,f(x,f(c_0,f(f(y,y),z)))),y) = c_0. [para(57(a,1),20246(a,1,2,2)),rewrite(14500(6,R),16430(5),14553(10))]. given #846 (A,wt=21): 15602 f(f(x,y),f(f(x,f(x,y)),y)) = f(c_0,f(f(x,f(x,y)),y)). [back_rewrite(14795),rewrite(14874(8))]. given #847 (F,wt=15): 20298 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,y)) = c_0. [para(82(a,1),20246(a,1,2,2)),rewrite(14500(4,R),16430(4),15175(8))]. given #848 (F,wt=15): 20299 f(f(c_0,f(x,f(y,y))),f(c_0,f(z,y))) = c_0. [para(13960(a,1),20246(a,1,2,2))]. given #849 (T,wt=15): 20300 f(f(c_0,f(f(x,x),y)),f(c_0,f(x,z))) = c_0. [para(14441(a,1),20246(a,1,1,2))]. given #850 (T,wt=15): 20304 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,x)))) = c_0. [para(20246(a,1),18567(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #851 (A,wt=21): 15848 f(f(x,f(x,y)),f(f(x,y),f(x,f(f(x,y),z)))) = f(x,y). [para(12960(a,1),8440(a,1,2,2,1,1,1)),rewrite(14500(5,R),15492(6),15810(7))]. given #852 (F,wt=15): 20327 f(f(x,x),f(c_0,f(y,f(c_0,f(x,z))))) = c_0. [para(13960(a,1),20247(a,1,2,2))]. given #853 (F,wt=15): 20329 f(f(c_0,f(f(c_0,f(x,y)),z)),f(x,x)) = c_0. [para(20247(a,1),18567(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #854 (T,wt=15): 20359 f(f(x,x),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(13960(a,1),20248(a,1,2,2))]. given #855 (T,wt=15): 20361 f(f(c_0,f(f(c_0,f(x,y)),z)),f(y,y)) = c_0. [para(20248(a,1),18567(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #856 (A,wt=21): 15852 f(f(x,f(x,y)),f(f(x,y),f(x,f(z,f(x,y))))) = f(x,y). [para(12960(a,1),8488(a,1,2,2,1,1,1)),rewrite(14500(5,R),15492(6),15810(7))]. given #857 (F,wt=15): 20432 f(x,f(c_0,f(y,f(c_0,f(f(x,x),z))))) = c_0. [para(13960(a,1),20249(a,1,2,2))]. given #858 (F,wt=15): 20434 f(f(c_0,f(f(c_0,f(f(x,x),y)),z)),x) = c_0. [para(20249(a,1),18567(a,1,1,2,2)),rewrite(15858(10),14874(10))]. given #859 (T,wt=15): 20439 f(x,f(c_0,f(y,f(c_0,f(z,f(x,x)))))) = c_0. [para(13960(a,1),20250(a,1,2,2))]. given #860 (T,wt=15): 20441 f(f(c_0,f(f(c_0,f(x,f(y,y))),z)),y) = c_0. [para(20250(a,1),18567(a,1,1,2,2)),rewrite(15858(10),14874(10))]. given #861 (A,wt=41): 15934 f(f(x,y),f(f(f(y,y),f(c_0,f(f(x,f(x,y)),f(x,z)))),f(f(f(x,f(c_0,f(f(x,f(x,y)),f(x,z)))),y),f(u,y)))) = y. [back_rewrite(15661),rewrite(15858(5),15858(6),12782(6),15858(5),15858(12),15858(13),12782(13),15858(12))]. given #862 (F,wt=17): 17377 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,z)))) = y. [para(15858(a,1),8440(a,1,2,1)),rewrite(14371(3),17267(4),15858(5),13960(5),17267(4))]. given #863 (F,wt=17): 17391 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(z,y)))) = y. [para(15858(a,1),8488(a,1,2,1)),rewrite(14371(3),17267(4),15858(5),13960(5),17267(4))]. given #864 (T,wt=17): 17598 f(f(c_0,f(x,f(y,x))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(17026),rewrite(17267(3))]. given #865 (T,wt=15): 20822 f(f(c_0,f(x,f(y,x))),f(c_0,f(y,z))) = c_0. [para(22(a,1),17598(a,1,2,2,2))]. given #866 (A,wt=41): 15935 f(f(f(f(x,x),f(c_0,f(f(y,f(y,x)),f(y,z)))),f(f(f(y,f(c_0,f(f(y,f(y,x)),f(y,z)))),x),f(x,u))),f(x,x)) = x. [back_rewrite(15657),rewrite(15858(4),15858(5),12782(5),15858(4),15858(11),15858(12),12782(12),15858(11))]. given #867 (F,wt=15): 20823 f(f(c_0,f(x,f(f(y,z),x))),f(z,z)) = c_0. [para(22(a,1),17598(a,1,2,2)),rewrite(15175(7))]. given #868 (F,wt=15): 20824 f(f(c_0,f(x,f(f(y,z),x))),f(y,y)) = c_0. [para(57(a,1),17598(a,1,2,2)),rewrite(14500(4,R),16430(4),14553(4),14500(9,R),16430(9),14553(9),15175(7))]. given #869 (T,wt=15): 20917 f(f(c_0,f(x,f(f(y,f(z,z)),x))),z) = c_0. [para(48(a,1),20822(a,1,2,2)),rewrite(14553(9))]. given #870 (T,wt=15): 20918 f(f(c_0,f(x,f(f(f(y,y),z),x))),y) = c_0. [para(57(a,1),20822(a,1,2,2)),rewrite(14553(9))]. given #871 (A,wt=41): 15937 f(f(x,y),f(f(f(y,y),f(c_0,f(f(x,f(x,y)),f(x,z)))),f(f(f(x,f(c_0,f(f(x,f(x,y)),f(x,z)))),y),f(y,u)))) = y. [back_rewrite(15619),rewrite(15858(5),15858(6),12782(6),15858(5),15858(12),15858(13),12782(13),15858(12))]. given #872 (F,wt=15): 20919 f(f(c_0,f(x,f(y,x))),f(c_0,f(z,y))) = c_0. [para(13960(a,1),20822(a,1,2,2))]. given #873 (F,wt=15): 20921 f(f(c_0,f(x,y)),f(c_0,f(f(y,x),z))) = c_0. [para(16203(a,1),20822(a,1,1,2,2)),rewrite(15858(4),12782(4))]. given #874 (T,wt=15): 20922 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))) = c_0. [para(20822(a,1),18567(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #875 (T,wt=15): 20923 f(x,f(c_0,f(f(c_0,f(y,f(x,y))),z))) = c_0. [para(18567(a,1),20822(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #876 (A,wt=41): 15939 f(f(x,y),f(f(f(y,y),f(x,f(f(x,f(x,y)),f(z,x)))),f(f(f(x,f(x,f(f(x,f(x,y)),f(z,x)))),y),f(y,u)))) = y. [back_rewrite(15609),rewrite(15858(4),15858(10))]. given #877 (F,wt=15): 20924 f(f(x,y),f(c_0,f(f(c_0,f(y,x)),z))) = c_0. [para(18967(a,1),20822(a,1,1,2,2)),rewrite(16430(4),14874(5))]. given #878 (F,wt=15): 21056 f(f(x,x),f(c_0,f(y,f(f(z,x),y)))) = c_0. [para(20823(a,1),18567(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #879 (T,wt=15): 21093 f(f(x,x),f(c_0,f(y,f(f(x,z),y)))) = c_0. [para(20824(a,1),18567(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #880 (T,wt=15): 21119 f(x,f(c_0,f(y,f(f(z,f(x,x)),y)))) = c_0. [para(20917(a,1),18567(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #881 (A,wt=25): 15941 f(f(f(x,y),z),f(f(x,y),f(f(f(x,y),f(f(x,y),z)),y))) = f(x,y). [back_rewrite(15606),rewrite(15858(7))]. given #882 (F,wt=15): 21144 f(x,f(c_0,f(y,f(f(f(x,x),z),y)))) = c_0. [para(20918(a,1),18567(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #883 (F,wt=15): 21212 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,x)))) = c_0. [para(16203(a,1),20919(a,1,1,2,2)),rewrite(15858(4),12782(4))]. given #884 (T,wt=15): 21213 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,z)))) = c_0. [para(20919(a,1),18567(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #885 (T,wt=15): 21214 f(x,f(c_0,f(y,f(c_0,f(z,f(x,z)))))) = c_0. [para(18567(a,1),20919(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #886 (A,wt=19): 15943 f(f(f(c_0,f(f(x,f(x,y)),y)),x),f(x,f(x,y))) = x. [back_rewrite(15601),rewrite(15858(8))]. given #887 (F,wt=15): 21215 f(f(x,y),f(c_0,f(z,f(c_0,f(y,x))))) = c_0. [para(18967(a,1),20919(a,1,1,2,2)),rewrite(16430(4),14874(5))]. given #888 (F,wt=15): 21302 f(f(c_0,f(f(x,y),z)),f(c_0,f(y,x))) = c_0. [para(20921(a,1),18567(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #889 (T,wt=15): 21341 f(f(c_0,f(x,y)),f(f(y,f(y,x)),x)) = c_0. [para(15602(a,1),20921(a,1,2,2)),rewrite(14874(10))]. given #890 (T,wt=15): 21356 f(f(c_0,f(f(c_0,f(x,f(y,x))),z)),y) = c_0. [para(18567(a,1),20922(a,1,2,2,2)),rewrite(14500(10),14553(10))]. given #891 (A,wt=33): 15944 f(f(f(x,f(f(x,f(x,y)),f(z,x))),f(y,x)),f(c_0,f(f(x,f(y,x)),f(f(y,x),u)))) = f(y,x). [back_rewrite(15595),rewrite(15858(2))]. given #892 (F,wt=15): 21357 f(f(c_0,f(f(c_0,f(x,y)),z)),f(y,x)) = c_0. [para(18967(a,1),20922(a,1,2,2,2)),rewrite(16430(10),14874(11))]. given #893 (F,wt=15): 21755 f(f(c_0,f(x,f(y,z))),f(c_0,f(z,y))) = c_0. [para(21212(a,1),18567(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #894 (T,wt=15): 21807 f(f(c_0,f(x,f(c_0,f(y,f(z,y))))),z) = c_0. [para(18567(a,1),21213(a,1,2,2,2)),rewrite(14500(10),14553(10))]. given #895 (T,wt=15): 21808 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,y)) = c_0. [para(18967(a,1),21213(a,1,2,2,2)),rewrite(16430(10),14874(11))]. given #896 (A,wt=33): 15945 f(f(f(x,f(f(x,f(x,y)),f(z,x))),f(y,x)),f(c_0,f(f(x,f(y,x)),f(u,f(y,x))))) = f(y,x). [back_rewrite(15594),rewrite(15858(2))]. given #897 (F,wt=15): 22006 f(f(f(x,f(x,y)),y),f(c_0,f(y,x))) = c_0. [para(15602(a,1),21302(a,1,1,2)),rewrite(14874(7))]. given #898 (F,wt=17): 18648 f(f(x,y),f(y,f(f(y,f(x,y)),f(y,z)))) = y. [back_rewrite(13523),rewrite(17267(3),15858(4),13960(4),17267(3))]. given #899 (T,wt=17): 18656 f(f(x,y),f(y,f(f(y,f(x,y)),f(z,y)))) = y. [back_rewrite(12527),rewrite(17267(3))]. given #900 (T,wt=17): 18928 f(f(f(x,y),f(c_0,f(z,f(y,y)))),y) = f(y,y). [back_rewrite(16379),rewrite(17394(5),14371(3))]. given #901 (A,wt=39): 16034 f(f(x,f(f(f(x,f(x,f(f(x,f(x,y)),f(z,x)))),f(c_0,f(y,x))),f(u,f(c_0,f(y,x))))),f(y,x)) = f(c_0,f(y,x)). [back_rewrite(15137),rewrite(15858(2))]. given #902 (F,wt=17): 18930 f(f(f(x,y),f(c_0,f(f(y,y),z))),y) = f(y,y). [back_rewrite(16376),rewrite(17394(5),14371(3))]. given #903 (F,wt=17): 18932 f(x,f(f(y,x),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(16373),rewrite(17394(5),14371(3))]. given #904 (T,wt=17): 18934 f(x,f(f(y,x),f(c_0,f(f(x,x),z)))) = f(x,x). [back_rewrite(16370),rewrite(17394(5),14371(3))]. given #905 (T,wt=17): 18944 f(f(x,f(x,y)),f(x,f(f(x,y),f(x,z)))) = x. [para(16188(a,1),11686(a,1,2,1)),rewrite(16188(8),15858(5),12782(5),16188(7),16188(11))]. given #906 (A,wt=39): 16035 f(f(x,f(f(f(x,f(x,f(f(x,f(x,y)),f(z,x)))),f(c_0,f(y,x))),f(f(c_0,f(y,x)),u))),f(y,x)) = f(c_0,f(y,x)). [back_rewrite(15136),rewrite(15858(2))]. given #907 (F,wt=17): 18954 f(f(x,f(y,x)),f(x,f(f(y,x),f(x,z)))) = x. [para(17394(a,1),11686(a,1,2,1)),rewrite(17394(8),15858(5),13960(5),17394(7),17394(11))]. given #908 (F,wt=17): 19050 f(f(x,f(x,y)),f(x,f(f(x,y),f(z,x)))) = x. [para(16188(a,1),14704(a,1,2,1)),rewrite(16188(8),15858(5),12782(5),16188(7),16188(11))]. given #909 (T,wt=17): 19053 f(f(x,f(y,x)),f(x,f(f(y,x),f(z,x)))) = x. [para(17394(a,1),14704(a,1,2,1)),rewrite(17394(8),15858(5),13960(5),17394(7),17394(11))]. given #910 (T,wt=15): 22877 f(f(x,f(y,x)),f(f(y,f(y,x)),x)) = x. [para(15602(a,1),19053(a,1,2,2)),rewrite(14534(8))]. given #911 (A,wt=39): 16036 f(f(x,y),f(y,f(f(f(y,f(y,f(f(y,f(y,x)),f(z,y)))),f(c_0,f(x,y))),f(u,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [back_rewrite(15135),rewrite(15858(3))]. given #912 (F,wt=17): 19224 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(z,x)))) = x. [para(17394(a,1),14789(a,1,2,2,1,2)),rewrite(15858(6),13960(6),17394(8),17394(12))]. given #913 (F,wt=17): 19270 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(x,z)))) = x. [para(17394(a,1),14790(a,1,2,2,1,2)),rewrite(15858(6),13960(6),17394(8),17394(12))]. given #914 (T,wt=17): 20062 f(f(f(f(x,x),y),f(c_0,f(z,x))),f(x,x)) = x. [para(22(a,1),16266(a,1,1,2,2,2)),rewrite(14500(11,R),16430(11),14553(11))]. given #915 (T,wt=17): 20130 f(f(f(f(x,x),y),f(c_0,f(x,z))),f(x,x)) = x. [para(22(a,1),16268(a,1,1,2,2,1)),rewrite(14500(11,R),16430(11),14553(11))]. given #916 (A,wt=39): 16037 f(f(x,y),f(y,f(f(f(y,f(y,f(f(y,f(y,x)),f(z,y)))),f(c_0,f(x,y))),f(f(c_0,f(x,y)),u)))) = f(c_0,f(x,y)). [back_rewrite(15134),rewrite(15858(3))]. given #917 (F,wt=17): 20187 f(f(x,x),f(f(f(x,x),y),f(c_0,f(z,x)))) = x. [para(22(a,1),16270(a,1,2,2,2,2)),rewrite(14500(11,R),16430(11),14553(11))]. given #918 (F,wt=17): 20197 f(f(x,x),f(f(f(x,x),y),f(c_0,f(x,z)))) = x. [para(22(a,1),16272(a,1,2,2,2,1)),rewrite(14500(11,R),16430(11),14553(11))]. given #919 (T,wt=17): 20259 f(f(x,x),f(c_0,f(f(f(x,y),f(x,z)),u))) = c_0. [para(15880(a,1),20208(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #920 (T,wt=17): 20266 f(f(x,x),f(c_0,f(f(f(y,x),f(x,z)),u))) = c_0. [para(19020(a,1),20208(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #921 (A,wt=39): 16039 f(f(x,f(f(f(x,f(x,f(f(x,f(x,y)),f(x,z)))),f(c_0,f(y,x))),f(u,f(c_0,f(y,x))))),f(y,x)) = f(c_0,f(y,x)). [back_rewrite(15132),rewrite(15858(2))]. given #922 (F,wt=17): 20267 f(f(x,x),f(c_0,f(f(f(x,y),f(z,x)),u))) = c_0. [para(19021(a,1),20208(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #923 (F,wt=17): 20271 f(f(x,x),f(c_0,f(f(f(y,x),f(z,x)),u))) = c_0. [para(19304(a,1),20208(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #924 (T,wt=17): 20307 f(f(c_0,f(x,f(f(y,z),f(y,u)))),f(y,y)) = c_0. [para(15894(a,1),20246(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #925 (T,wt=17): 20313 f(f(c_0,f(x,f(f(y,z),f(z,u)))),f(z,z)) = c_0. [para(19161(a,1),20246(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #926 (A,wt=39): 16040 f(f(x,f(f(f(x,f(x,f(f(x,f(x,y)),f(x,z)))),f(c_0,f(y,x))),f(f(c_0,f(y,x)),u))),f(y,x)) = f(c_0,f(y,x)). [back_rewrite(15131),rewrite(15858(2))]. given #927 (F,wt=17): 20314 f(f(c_0,f(x,f(f(y,z),f(u,y)))),f(y,y)) = c_0. [para(19162(a,1),20246(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #928 (F,wt=17): 20315 f(f(c_0,f(x,f(f(y,z),f(u,z)))),f(z,z)) = c_0. [para(19559(a,1),20246(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #929 (T,wt=17): 20330 f(f(f(x,y),f(x,z)),f(c_0,f(f(x,x),u))) = c_0. [para(15894(a,1),20247(a,1,2,2,1,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #930 (T,wt=17): 20336 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,y),u))) = c_0. [para(19161(a,1),20247(a,1,2,2,1,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #931 (A,wt=39): 16041 f(f(x,y),f(y,f(f(f(y,f(y,f(f(y,f(y,x)),f(y,z)))),f(c_0,f(x,y))),f(u,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [back_rewrite(15130),rewrite(15858(3))]. given #932 (F,wt=17): 20337 f(f(f(x,y),f(z,x)),f(c_0,f(f(x,x),u))) = c_0. [para(19162(a,1),20247(a,1,2,2,1,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #933 (F,wt=17): 20338 f(f(f(x,y),f(z,y)),f(c_0,f(f(y,y),u))) = c_0. [para(19559(a,1),20247(a,1,2,2,1,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #934 (T,wt=17): 20446 f(f(x,x),f(c_0,f(y,f(f(x,z),f(x,u))))) = c_0. [para(15880(a,1),20253(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #935 (T,wt=17): 20453 f(f(x,x),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(19020(a,1),20253(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #936 (A,wt=39): 16042 f(f(x,y),f(y,f(f(f(y,f(y,f(f(y,f(y,x)),f(y,z)))),f(c_0,f(x,y))),f(f(c_0,f(x,y)),u)))) = f(c_0,f(x,y)). [back_rewrite(15129),rewrite(15858(3))]. given #937 (F,wt=17): 20454 f(f(x,x),f(c_0,f(y,f(f(x,z),f(u,x))))) = c_0. [para(19021(a,1),20253(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #938 (F,wt=17): 20458 f(f(x,x),f(c_0,f(y,f(f(z,x),f(u,x))))) = c_0. [para(19304(a,1),20253(a,1,1,2)),rewrite(15175(2),14500(13,R),15858(9),14874(9))]. given #939 (T,wt=17): 20524 f(f(c_0,f(f(f(x,y),f(x,z)),u)),f(x,x)) = c_0. [para(15880(a,1),20256(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #940 (T,wt=17): 20531 f(f(c_0,f(f(f(x,y),f(y,z)),u)),f(y,y)) = c_0. [para(19020(a,1),20256(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #941 (A,wt=41): 16049 f(f(x,y),f(f(f(y,y),f(c_0,f(f(x,f(x,y)),f(z,x)))),f(f(f(x,f(c_0,f(f(x,f(x,y)),f(z,x)))),y),f(y,u)))) = y. [back_rewrite(15116),rewrite(15858(5),15858(6),12782(6),15858(5),15858(12),15858(13),12782(13),15858(12))]. given #942 (F,wt=17): 20532 f(f(c_0,f(f(f(x,y),f(z,x)),u)),f(x,x)) = c_0. [para(19021(a,1),20256(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #943 (F,wt=17): 20536 f(f(c_0,f(f(f(x,y),f(z,y)),u)),f(y,y)) = c_0. [para(19304(a,1),20256(a,1,2,2)),rewrite(14500(12,R),15858(8),14874(8),15175(8))]. given #944 (T,wt=17): 20544 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(y,u))) = c_0. [para(15880(a,1),20295(a,1,1,2,2,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #945 (T,wt=17): 20549 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(y,u))) = c_0. [para(19020(a,1),20295(a,1,1,2,2,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #946 (A,wt=21): 16052 f(f(x,y),f(x,f(c_0,f(f(c_0,f(x,y)),z)))) = f(c_0,f(x,y)). [back_rewrite(15109),rewrite(15858(3),12782(4),14783(6))]. given #947 (F,wt=17): 20550 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,y))) = c_0. [para(19021(a,1),20295(a,1,1,2,2,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #948 (F,wt=17): 20554 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,y))) = c_0. [para(19304(a,1),20295(a,1,1,2,2,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #949 (T,wt=17): 20636 f(f(f(x,y),f(x,z)),f(c_0,f(u,f(x,x)))) = c_0. [para(15894(a,1),20327(a,1,2,2,2,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #950 (T,wt=17): 20641 f(f(f(x,y),f(y,z)),f(c_0,f(u,f(y,y)))) = c_0. [para(19161(a,1),20327(a,1,2,2,2,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #951 (A,wt=21): 16053 f(f(x,y),f(x,f(c_0,f(z,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [back_rewrite(15108),rewrite(15858(3),12782(4),14783(6))]. given #952 (F,wt=17): 20642 f(f(f(x,y),f(z,x)),f(c_0,f(u,f(x,x)))) = c_0. [para(19162(a,1),20327(a,1,2,2,2,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #953 (F,wt=17): 20643 f(f(f(x,y),f(z,y)),f(c_0,f(u,f(y,y)))) = c_0. [para(19559(a,1),20327(a,1,2,2,2,2)),rewrite(14500(11,R),15858(7),14874(7),15175(6))]. given #954 (T,wt=17): 20652 f(f(c_0,f(f(x,x),y)),f(f(x,z),f(x,u))) = c_0. [para(15894(a,1),20329(a,1,1,2,1,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #955 (T,wt=17): 20657 f(f(c_0,f(f(x,x),y)),f(f(z,x),f(x,u))) = c_0. [para(19161(a,1),20329(a,1,1,2,1,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #956 (A,wt=21): 16054 f(f(x,f(c_0,f(f(c_0,f(x,y)),z))),f(x,y)) = f(c_0,f(x,y)). [back_rewrite(15107),rewrite(15858(2),12782(3),14783(5))]. given #957 (F,wt=17): 20658 f(f(c_0,f(f(x,x),y)),f(f(x,z),f(u,x))) = c_0. [para(19162(a,1),20329(a,1,1,2,1,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #958 (F,wt=17): 20659 f(f(c_0,f(f(x,x),y)),f(f(z,x),f(u,x))) = c_0. [para(19559(a,1),20329(a,1,1,2,1,2)),rewrite(15175(3),14500(15,R),15858(11),14874(11))]. given #959 (T,wt=17): 21058 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(y,u))) = c_0. [para(15880(a,1),20823(a,1,1,2,2,1)),rewrite(14500(15,R),15858(11),14874(11))]. given #960 (T,wt=17): 21067 f(f(c_0,f(x,f(y,x))),f(f(z,y),f(y,u))) = c_0. [para(19020(a,1),20823(a,1,1,2,2,1)),rewrite(14500(15,R),15858(11),14874(11))]. given #961 (A,wt=21): 16055 f(f(x,f(c_0,f(y,f(c_0,f(x,z))))),f(x,z)) = f(c_0,f(x,z)). [back_rewrite(15106),rewrite(15858(2),12782(3),14783(5))]. given #962 (F,wt=17): 21068 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(u,y))) = c_0. [para(19021(a,1),20823(a,1,1,2,2,1)),rewrite(14500(15,R),15858(11),14874(11))]. given #963 (F,wt=17): 21077 f(f(c_0,f(x,f(y,x))),f(f(z,y),f(u,y))) = c_0. [para(19304(a,1),20823(a,1,1,2,2,1)),rewrite(14500(15,R),15858(11),14874(11))]. given #964 (T,wt=17): 21598 f(f(f(x,y),f(x,z)),f(c_0,f(u,f(x,u)))) = c_0. [para(15880(a,1),21056(a,1,2,2,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #965 (T,wt=17): 21607 f(f(f(x,y),f(y,z)),f(c_0,f(u,f(y,u)))) = c_0. [para(19020(a,1),21056(a,1,2,2,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #966 (A,wt=33): 16089 f(f(f(c_0,f(f(x,f(x,y)),f(z,x))),f(y,x)),f(c_0,f(f(x,f(y,x)),f(f(y,x),u)))) = f(y,x). [back_rewrite(14868),rewrite(15858(3))]. given #967 (F,wt=17): 21608 f(f(f(x,y),f(z,x)),f(c_0,f(u,f(x,u)))) = c_0. [para(19021(a,1),21056(a,1,2,2,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #968 (F,wt=17): 21617 f(f(f(x,y),f(z,y)),f(c_0,f(u,f(y,u)))) = c_0. [para(19304(a,1),21056(a,1,2,2,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #969 (T,wt=17): 22481 f(f(f(x,f(y,y)),f(c_0,f(z,y))),f(y,y)) = y. [para(22(a,1),18928(a,1,1,2,2,2)),rewrite(14500(11,R),16430(11),14553(11))]. given #970 (T,wt=17): 22585 f(f(f(x,f(y,y)),f(c_0,f(y,z))),f(y,y)) = y. [para(22(a,1),18930(a,1,1,2,2,1)),rewrite(14500(11,R),16430(11),14553(11))]. given #971 (A,wt=33): 16090 f(f(f(c_0,f(f(x,f(x,y)),f(z,x))),f(y,x)),f(c_0,f(f(x,f(y,x)),f(u,f(y,x))))) = f(y,x). [back_rewrite(14867),rewrite(15858(3))]. given #972 (F,wt=17): 22642 f(f(x,x),f(f(y,f(x,x)),f(c_0,f(z,x)))) = x. [para(22(a,1),18932(a,1,2,2,2,2)),rewrite(14500(11,R),16430(11),14553(11))]. given #973 (F,wt=17): 22648 f(f(x,x),f(f(y,f(x,x)),f(c_0,f(x,z)))) = x. [para(22(a,1),18934(a,1,2,2,2,1)),rewrite(14500(11,R),16430(11),14553(11))]. given #974 (T,wt=17): 22918 f(f(x,f(y,x)),f(f(x,y),f(y,x))) = f(y,x). [para(19798(a,1),22877(a,1,1,2)),rewrite(17267(2),19798(8),15858(5),12782(5))]. given #975 (T,wt=19): 19000 f(x,f(c_0,f(f(x,y),f(c_0,f(f(x,f(x,y)),y))))) = c_0. [para(14786(a,1),17567(a,1,2,2,2)),rewrite(18998(8))]. given #976 (A,wt=35): 16091 f(f(c_0,f(x,y)),f(c_0,f(f(f(x,y),f(f(x,y),z)),f(c_0,f(f(y,f(x,y)),f(f(x,y),u)))))) = f(x,y). [back_rewrite(14831),rewrite(15858(8))]. given #977 (F,wt=19): 19001 f(f(c_0,f(f(x,y),f(c_0,f(f(x,f(x,y)),y)))),x) = c_0. [para(14786(a,1),18567(a,1,1,2,2)),rewrite(18998(8))]. given #978 (F,wt=19): 19002 f(f(x,y),f(c_0,f(f(c_0,f(f(x,f(x,y)),y)),x))) = c_0. [para(14786(a,1),18956(a,1,1))]. given #979 (T,wt=19): 19003 f(f(f(c_0,f(f(x,f(x,y)),y)),x),f(c_0,f(x,y))) = c_0. [para(14786(a,1),18956(a,1,2,2))]. given #980 (T,wt=19): 19004 f(f(c_0,f(x,y)),f(f(c_0,f(f(x,f(x,y)),y)),x)) = c_0. [para(14786(a,1),18967(a,1,1,2))]. given #981 (A,wt=31): 16092 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(f(y,z),x)),f(c_0,f(f(y,f(y,z)),z))))) = f(y,z). [back_rewrite(14825),rewrite(15858(7))]. given #982 (F,wt=19): 19005 f(f(c_0,f(f(c_0,f(f(x,f(x,y)),y)),x)),f(x,y)) = c_0. [para(14786(a,1),18967(a,1,2))]. given #983 (F,wt=19): 19010 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(x,z))). [para(15880(a,1),22(a,1,1)),rewrite(14500(11,R),15858(7),14874(7)),flip(a)]. given #984 (T,wt=17): 26932 f(f(x,f(x,y)),f(f(x,y),f(x,z))) = f(x,y). [para(19010(a,2),15848(a,1,2,2)),rewrite(14530(9))]. given #985 (T,wt=15): 27256 f(f(x,f(y,x)),f(x,f(f(y,x),z))) = x. [para(22(a,1),26932(a,1,1,2)),rewrite(17267(2),22(5),22(9))]. given #986 (A,wt=25): 16093 f(f(f(c_0,f(f(x,f(x,y)),y)),x),f(c_0,f(f(x,f(x,y)),f(z,x)))) = x. [back_rewrite(14801),rewrite(15858(9))]. given #987 (F,wt=11): 27357 f(f(x,f(y,x)),f(x,y)) = x. [para(82(a,1),27256(a,1,2,2))]. given #988 (F,wt=15): 27260 f(f(x,f(x,y)),f(x,f(f(x,y),z))) = x. [para(82(a,1),26932(a,1,1,2)),rewrite(15858(2),82(5),82(9))]. given #989 (T,wt=15): 27287 f(f(x,y),f(x,f(f(x,f(x,y)),z))) = x. [para(15878(a,1),26932(a,1,1,2)),rewrite(15858(3),12782(3),15878(9),15878(14))]. given #990 (T,wt=15): 27329 f(f(x,y),f(y,f(f(y,f(x,y)),z))) = y. [para(18954(a,1),26932(a,1,1,2)),rewrite(15858(3),13960(3),27256(8),27256(13))]. given #991 (A,wt=23): 16108 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(f(y,z),x)),y))) = f(y,z). [back_rewrite(14714),rewrite(15858(7),15858(9),12782(9),15858(7))]. given #992 (F,wt=15): 27358 f(f(x,f(y,x)),f(x,f(z,f(y,x)))) = x. [para(13960(a,1),27256(a,1,2,2))]. given #993 (F,wt=15): 27434 f(x,f(c_0,f(y,f(f(y,x),z)))) = f(y,x). [back_rewrite(18647),rewrite(27357(5),26783(5))]. % Operation f is commutative; C redundancy checks enabled. given #994 (T,wt=7): 28082 f(x,y) = f(y,x). [para(82(a,1),27434(a,1,2,2,2)),rewrite(14553(3))]. given #995 (T,wt=11): 28091 f(x,f(c_0,f(y,f(y,x)))) = c_0. [para(17567(a,1),27434(a,2)),rewrite(28082(2),28082(7),28082(11),28086(14))]. given #996 (A,wt=21): 18333 f(f(x,y),f(y,f(c_0,f(z,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [back_rewrite(15095),rewrite(17267(3),13960(4),14783(6))]. given #997 (F,wt=11): 29162 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(14442),rewrite(28082(4))]. given #998 (F,wt=11): 29180 f(f(x,x),f(c_0,f(y,x))) = c_0. [para(18333(a,1),18989(a,1,2,2)),rewrite(14500(4),14553(4),14500(7),14553(7),28082(5),14500(5),28082(5))]. given #999 (T,wt=13): 28196 f(x,f(f(x,y),f(y,z))) = f(x,y). [para(19010(a,2),27434(a,1,2,2)),rewrite(28082(3),14874(7),28082(5))]. given #1000 (T,wt=13): 29172 f(x,f(c_0,f(f(x,x),f(y,y)))) = c_0. [para(28091(a,1),14787(a,1,2,2,1,2)),rewrite(14500(3),28082(4),17567(7),14500(4),28082(8),17567(11))]. given #1001 (A,wt=23): 19029 f(x,f(x,f(c_0,f(f(x,y),f(x,z))))) = f(c_0,f(f(x,y),f(x,z))). [para(15880(a,1),17394(a,1,1)),rewrite(15880(12),19027(6))]. given #1002 (F,wt=13): 29174 f(f(c_0,c_0),f(x,f(c_0,f(y,z)))) = c_0. [para(15587(a,1),28091(a,1,2,2,2)),rewrite(14783(10),28082(8))]. given #1003 (F,wt=13): 29192 f(f(c_0,c_0),f(f(x,y),f(x,z))) = c_0. [para(19022(a,1),29162(a,1,2,2)),rewrite(28082(7),19022(12))]. given #1004 (T,wt=13): 29203 f(x,f(f(x,x),f(y,z))) = f(x,x). [para(14874(a,1),28196(a,1,2,2)),rewrite(14500(2),14500(6))]. given #1005 (T,wt=13): 29223 f(x,f(c_0,f(f(x,x),f(y,z)))) = c_0. [para(15611(a,1),29172(a,1,2,2,2))]. given #1006 (A,wt=23): 19034 f(f(c_0,f(f(x,y),f(x,z))),f(x,f(c_0,f(f(x,y),f(x,z))))) = x. [back_rewrite(19019),rewrite(19027(11))]. given #1007 (F,wt=13): 29236 f(f(c_0,c_0),f(f(x,y),f(z,z))) = c_0. [para(14874(a,1),29192(a,1,2,1)),rewrite(28082(6),14500(6))]. given #1008 (F,wt=13): 29262 f(f(c_0,c_0),f(f(x,y),f(z,u))) = c_0. [para(15611(a,1),29236(a,1,2,2))]. given #1009 (T,wt=15): 27606 f(f(x,f(x,y)),f(x,f(z,f(x,y)))) = x. [para(13960(a,1),27260(a,1,2,2))]. given #1010 (T,wt=15): 27673 f(f(x,y),f(x,f(z,f(x,f(x,y))))) = x. [para(13960(a,1),27287(a,1,2,2))]. given #1011 (A,wt=29): 19104 f(f(x,y),f(f(x,f(x,y)),f(z,f(x,y)))) = f(c_0,f(f(x,f(x,y)),f(z,f(x,y)))). [para(14787(a,1),22(a,1,1)),rewrite(14500(16,R),15858(10),14874(10))]. given #1012 (F,wt=15): 27747 f(f(x,y),f(y,f(z,f(y,f(x,y))))) = y. [para(13960(a,1),27329(a,1,2,2))]. given #1013 (F,wt=11): 29297 f(x,f(x,f(y,x))) = f(y,x). [para(27747(a,1),16188(a,1,2,2)),rewrite(27747(6),28082(2))]. given #1014 (T,wt=13): 29300 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [para(27747(a,1),19132(a,1,1,2,2)),rewrite(28082(2),27747(10),28082(5),14500(5),28082(5))]. given #1015 (T,wt=15): 28084 f(x,f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(27434(a,1),12782(a,1,2,2)),rewrite(28082(1),12782(3),28082(3),28082(4)),flip(a)]. given #1016 (A,wt=23): 19117 f(x,f(c_0,f(f(x,y),f(c_0,f(f(x,f(x,y)),f(z,f(x,y))))))) = c_0. [para(14787(a,1),17567(a,1,2,2,2)),rewrite(19114(10))]. given #1017 (F,wt=15): 28086 f(x,f(c_0,f(y,f(z,f(y,x))))) = f(y,x). [para(27434(a,1),13960(a,2)),rewrite(28082(3),28082(8),28082(13),13960(18))]. given #1018 (F,wt=15): 28135 f(f(c_0,f(x,f(x,y))),f(c_0,f(y,z))) = c_0. [para(27434(a,1),20822(a,1,2,2)),rewrite(28082(2),28082(6))]. given #1019 (T,wt=15): 28141 f(f(x,x),f(c_0,f(y,f(y,f(x,z))))) = c_0. [para(20823(a,1),27434(a,2)),rewrite(28082(4),28082(5),28082(9),28082(10),28082(14),28082(15),28084(18))]. given #1020 (T,wt=15): 28142 f(f(x,x),f(c_0,f(y,f(y,f(z,x))))) = c_0. [para(27434(a,1),20824(a,1,1,2,2,1)),rewrite(28082(3),28082(7))]. given #1021 (A,wt=21): 19141 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(u,f(c_0,f(x,y))))) = c_0. [para(15611(a,1),19079(a,1,1))]. given #1022 (F,wt=15): 28146 f(x,f(c_0,f(y,f(y,f(z,f(x,x)))))) = c_0. [para(20917(a,1),27434(a,2)),rewrite(28082(5),28082(11),28082(14),28082(15),28084(18))]. given #1023 (F,wt=15): 28154 f(x,f(c_0,f(y,f(c_0,f(z,f(z,x)))))) = c_0. [para(20923(a,1),27434(a,2)),rewrite(28082(3),28082(6),28082(11),28082(14),28082(17),28086(20))]. given #1024 (T,wt=15): 28173 f(f(x,f(y,y)),f(c_0,f(z,y))) = f(z,y). [para(20062(a,1),27434(a,1,2,2,2)),rewrite(28082(6),28082(7),8397(7),14553(6),28082(4),14534(4),28082(3)),flip(a)]. given #1025 (T,wt=13): 29367 f(f(x,x),f(y,f(c_0,f(x,z)))) = x. [para(8394(a,1),28173(a,1,2,2)),rewrite(14500(3,R),28082(3),28082(6),14500(6),28082(6),8394(9))]. given #1026 (A,wt=23): 19142 f(f(f(x,y),f(x,z)),f(x,f(u,f(c_0,f(f(x,y),f(x,z)))))) = c_0. [para(15880(a,1),19079(a,1,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #1027 (F,wt=15): 28174 f(f(x,f(y,y)),f(c_0,f(y,z))) = f(y,z). [para(20130(a,1),27434(a,1,2,2,2)),rewrite(28082(6),28082(7),8397(7),14553(6),28082(4),14530(4),28082(3)),flip(a)]. given #1028 (F,wt=13): 29506 f(f(x,x),f(y,f(c_0,f(z,x)))) = x. [para(22(a,1),28174(a,1,2,2)),rewrite(14500(3,R),28082(3),28082(6),14500(6),28082(6),22(9))]. given #1029 (T,wt=15): 28216 f(x,f(f(x,y),f(z,f(x,x)))) = f(x,y). [back_rewrite(27632),rewrite(28082(5),28123(7),28082(5))]. given #1030 (T,wt=15): 28424 f(f(x,y),f(x,f(z,f(z,f(x,y))))) = x. [back_rewrite(18595),rewrite(28082(3),28082(6),28082(8),28174(10))]. given #1031 (A,wt=29): 19213 f(f(x,y),f(f(y,f(x,y)),f(z,f(x,y)))) = f(c_0,f(f(y,f(x,y)),f(z,f(x,y)))). [para(14789(a,1),22(a,1,1)),rewrite(14500(16,R),15858(10),14874(10))]. given #1032 (F,wt=15): 28425 f(f(x,y),f(y,f(z,f(z,f(x,y))))) = y. [back_rewrite(18594),rewrite(28082(3),28082(6),28082(8),28174(10))]. given #1033 (F,wt=15): 28801 f(x,f(f(y,f(x,x)),f(x,z))) = f(x,z). [back_rewrite(26141),rewrite(28174(8),28082(5),28174(11))]. given #1034 (T,wt=15): 28829 f(f(x,y),f(x,f(z,f(c_0,f(x,y))))) = x. [back_rewrite(24780),rewrite(28180(7),28082(7))]. given #1035 (T,wt=15): 28982 f(f(x,f(y,f(z,x))),f(c_0,f(z,x))) = c_0. [back_rewrite(19094),rewrite(28082(3))]. given #1036 (A,wt=19): 19216 f(f(x,f(x,y)),f(c_0,f(x,f(z,f(x,y))))) = f(x,y). [para(12782(a,1),14789(a,1,2,2,1,2)),rewrite(17267(7),16188(7),12782(6),12782(11))]. given #1037 (F,wt=15): 29197 f(f(c_0,c_0),f(x,f(f(y,z),f(y,u)))) = c_0. [para(20446(a,1),29180(a,1,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(8))]. given #1038 (F,wt=15): 29200 f(x,f(y,f(x,f(z,y)))) = f(x,f(z,y)). [para(22(a,1),28196(a,1,2,2)),rewrite(28082(3))]. given #1039 (T,wt=15): 29204 f(x,f(y,f(x,f(y,z)))) = f(x,f(y,z)). [para(16188(a,1),28196(a,1,2,2)),rewrite(28082(3))]. given #1040 (T,wt=13): 29720 f(x,f(f(x,y),f(z,y))) = f(x,y). [para(22(a,1),29204(a,1,2,2,2)),rewrite(28082(3),22(7))]. given #1041 (A,wt=19): 19297 f(c_0,f(f(x,y),f(y,z))) = f(y,f(f(x,y),f(y,z))). [para(19020(a,1),22(a,1,1)),rewrite(14500(11,R),15858(7),14874(7)),flip(a)]. given #1042 (F,wt=15): 29302 f(f(x,x),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(27747(a,1),20246(a,1,2,2)),rewrite(14500(4,R),28082(4),28082(8),14500(8),28082(8))]. given #1043 (F,wt=15): 29304 f(f(x,f(y,x)),f(x,f(z,f(y,x)))) = x. [para(27747(a,1),26932(a,1,1,2)),rewrite(28082(2),27747(8),28082(4),27747(12))]. given #1044 (T,wt=15): 29368 f(x,f(y,f(c_0,f(z,f(x,x))))) = f(x,x). [para(8397(a,1),28173(a,1,2,2)),rewrite(14500(5,R),28082(4),14553(8),28082(6),8397(9))]. given #1045 (T,wt=15): 29375 f(f(x,x),f(y,f(f(x,z),f(x,u)))) = x. [para(15880(a,1),28173(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(6),14500(6),28082(6),15880(13))]. given #1046 (A,wt=23): 19317 f(f(f(x,y),f(y,z)),f(y,f(u,f(c_0,f(f(x,y),f(y,z)))))) = c_0. [para(19020(a,1),19079(a,1,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #1047 (F,wt=15): 29379 f(f(c_0,c_0),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(18989(a,1),28173(a,1,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(9),18989(17))]. given #1048 (F,wt=15): 29398 f(f(c_0,c_0),f(x,f(f(y,y),f(z,u)))) = c_0. [para(29223(a,1),28173(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(8),29223(14))]. given #1049 (T,wt=15): 29421 f(f(x,y),f(c_0,f(x,f(c_0,f(y,z))))) = c_0. [para(29367(a,1),19132(a,1,1,2))]. given #1050 (T,wt=15): 29424 f(f(x,y),f(x,f(x,f(c_0,f(y,z))))) = x. [para(29367(a,1),27606(a,1,2,2)),rewrite(28082(7))]. given #1051 (A,wt=23): 19328 f(f(c_0,f(f(x,y),f(y,z))),f(y,f(c_0,f(f(x,y),f(y,z))))) = y. [back_rewrite(19303),rewrite(19307(11))]. given #1052 (F,wt=15): 29526 f(f(x,y),f(x,f(x,f(c_0,f(z,y))))) = x. [para(29506(a,1),27606(a,1,2,2)),rewrite(28082(7))]. given #1053 (F,wt=15): 29544 f(f(x,y),f(y,f(z,f(c_0,f(x,y))))) = y. [para(22(a,1),28216(a,1,2,1)),rewrite(14500(4,R),28082(4),22(10))]. given #1054 (T,wt=15): 29564 f(x,f(f(x,y),f(z,f(x,z)))) = f(x,y). [para(22(a,1),28424(a,1,1)),rewrite(28082(1),28082(2),28082(4),8394(4),28082(2),28082(6))]. given #1055 (T,wt=15): 29565 f(x,f(f(y,x),f(z,f(x,z)))) = f(y,x). [para(22(a,1),28424(a,1,2,2,2,2)),rewrite(22(3),28082(2))]. given #1056 (A,wt=19): 19335 f(f(c_0,f(x,y)),f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(22(a,1),19021(a,1,2,2,1)),rewrite(14500(3,R),16430(3))]. given #1057 (F,wt=15): 29659 f(x,f(f(y,x),f(z,f(x,x)))) = f(y,x). [para(22(a,1),28829(a,1,2,2,2,2)),rewrite(22(3),28082(3),14500(3))]. given #1058 (F,wt=15): 29845 f(f(c_0,c_0),f(x,f(f(y,z),f(u,v)))) = c_0. [para(15611(a,1),29398(a,1,2,2,1))]. given #1059 (T,wt=15): 29846 f(f(x,f(y,z)),f(c_0,f(x,f(z,z)))) = c_0. [para(22(a,1),29421(a,1,2,2,2,2)),rewrite(28082(5),14500(5))]. given #1060 (T,wt=15): 29849 f(f(x,f(y,z)),f(c_0,f(x,f(y,y)))) = c_0. [para(16188(a,1),29421(a,1,2,2,2,2)),rewrite(28082(5),14500(5))]. given #1061 (A,wt=19): 19337 f(f(c_0,f(x,y)),f(c_0,f(x,f(z,f(x,y))))) = f(x,y). [para(82(a,1),19021(a,1,2,2,1)),rewrite(14500(3,R),16430(3))]. given #1062 (F,wt=15): 29858 f(f(x,y),f(c_0,f(y,f(c_0,f(x,z))))) = c_0. [para(28082(a,1),29421(a,1,1))]. given #1063 (F,wt=15): 29868 f(f(x,f(y,f(z,z))),f(c_0,f(z,x))) = c_0. [para(28173(a,1),29421(a,1,2,2)),rewrite(28082(3),28082(5))]. given #1064 (T,wt=15): 29877 f(f(x,f(y,z)),f(x,f(x,f(z,z)))) = x. [para(22(a,1),29424(a,1,2,2,2,2)),rewrite(28082(4),14500(4))]. given #1065 (T,wt=15): 29880 f(f(x,f(x,f(y,y))),f(x,f(y,z))) = x. [para(16188(a,1),29424(a,1,2,2,2,2)),rewrite(28082(4),14500(4),28082(6))]. given #1066 (A,wt=19): 19380 f(f(f(x,y),f(x,z)),f(x,f(f(x,y),f(x,z)))) = c_0. [para(15894(a,1),19037(a,1,2,1)),rewrite(14874(7))]. given #1067 (F,wt=15): 29886 f(f(x,y),f(y,f(y,f(c_0,f(x,z))))) = y. [para(28082(a,1),29424(a,1,1))]. given #1068 (F,wt=15): 29935 f(f(x,x),f(y,f(f(z,x),f(x,u)))) = x. [para(19328(a,1),28174(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(6),14500(6),28082(6),19328(18))]. given #1069 (T,wt=15): 29950 f(f(x,f(x,y)),f(x,f(z,f(y,y)))) = x. [para(8397(a,1),29526(a,1,2,2,2,2)),rewrite(14553(6),28082(6))]. given #1070 (T,wt=15): 30108 f(f(x,f(y,f(z,z))),f(c_0,f(x,z))) = c_0. [para(22(a,1),29846(a,1,2,2,2))]. given #1071 (A,wt=27): 19479 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(c_0,f(f(x,f(x,y)),f(u,f(x,y)))))) = c_0. [para(14787(a,1),19076(a,1,1,2)),rewrite(14787(11))]. given #1072 (F,wt=15): 30222 f(x,f(y,f(y,f(x,x)))) = f(x,f(y,y)). [para(29880(a,1),28084(a,1,2,2)),rewrite(28082(2),14500(2)),flip(a)]. given #1073 (F,wt=15): 30241 f(f(x,f(y,z)),f(x,f(x,f(y,y)))) = x. [para(16188(a,1),29886(a,1,2,2,2,2)),rewrite(28082(2),28082(4),14500(4))]. given #1074 (T,wt=15): 30318 f(x,f(c_0,f(f(x,f(x,y)),f(y,y)))) = c_0. [para(29950(a,1),19132(a,1,1))]. given #1075 (T,wt=15): 30340 f(x,f(f(x,f(x,y)),f(y,y))) = f(x,x). [para(29950(a,1),29204(a,1,2)),flip(a)]. given #1076 (A,wt=19): 19481 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(x,y)))) = c_0. [para(17250(a,1),19076(a,1,1,2)),rewrite(17250(9))]. given #1077 (F,wt=17): 28005 f(x,f(f(x,y),f(z,f(x,f(x,y))))) = f(x,y). [para(16188(a,1),27358(a,1,1))]. given #1078 (F,wt=17): 28114 f(f(x,y),f(c_0,f(f(y,z),f(y,f(x,y))))) = y. [para(27434(a,1),15932(a,1,1)),rewrite(28082(5),28086(8),28082(6))]. given #1079 (T,wt=17): 28115 f(f(x,y),f(c_0,f(f(x,z),f(x,f(x,y))))) = x. [para(27434(a,1),15932(a,1,2,2,1,2)),rewrite(28082(2),28082(3),28084(6),28082(3),28082(6))]. given #1080 (T,wt=17): 28123 f(f(x,y),f(c_0,f(z,f(x,x)))) = f(z,f(x,x)). [para(16266(a,1),27434(a,1,2,2,2)),rewrite(28082(8),8394(8),28082(6),14500(6),28082(6),14534(6)),flip(a)]. given #1081 (A,wt=27): 19482 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))) = c_0. [para(14789(a,1),19076(a,1,1,2)),rewrite(14789(11))]. given #1082 (F,wt=17): 28182 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(y,u))) = c_0. [para(27434(a,1),21058(a,1,2,1)),rewrite(28082(2),28082(5))]. given #1083 (F,wt=17): 29198 f(f(c_0,f(x,y)),f(x,f(f(x,y),f(x,z)))) = c_0. [para(19010(a,1),29180(a,1,2)),rewrite(14500(3,R),28082(3),28082(6))]. given #1084 (T,wt=17): 29205 f(x,f(c_0,f(f(x,y),f(f(x,y),f(y,z))))) = c_0. [para(28196(a,1),17567(a,1,2,2,2)),rewrite(28082(6))]. given #1085 (T,wt=17): 29217 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(y,z))) = c_0. [para(28196(a,1),28091(a,1,2,2,2)),rewrite(28082(8))]. given #1086 (A,wt=19): 19485 f(f(f(x,y),f(y,z)),f(y,f(f(x,y),f(y,z)))) = c_0. [para(19020(a,1),19076(a,1,2,1)),rewrite(14874(7))]. given #1087 (F,wt=17): 29228 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(y,u))) = c_0. [para(19029(a,1),20922(a,1,1,2)),rewrite(14874(7),28082(8))]. given #1088 (F,wt=17): 29241 f(f(c_0,f(x,y)),f(f(x,y),f(z,u))) = f(x,y). [para(15611(a,1),29203(a,1,2,1)),rewrite(14500(14,R),28082(12),14874(12))]. given #1089 (T,wt=17): 29242 f(x,f(c_0,f(y,f(c_0,f(f(x,x),f(z,u)))))) = c_0. [para(29203(a,1),20253(a,1,1,2)),rewrite(14553(3),14500(8,R),28082(6))]. given #1090 (T,wt=17): 29244 f(x,f(c_0,f(y,f(y,f(f(x,x),f(z,u)))))) = c_0. [para(29203(a,1),21213(a,1,1,2)),rewrite(14553(3),28082(5))]. given #1091 (A,wt=37): 19704 f(f(x,f(c_0,f(f(x,y),f(x,z)))),f(c_0,f(x,f(u,f(c_0,f(f(x,y),f(x,z))))))) = f(c_0,f(f(x,y),f(x,z))). [para(15894(a,1),15878(a,1,1,2)),rewrite(19027(6),15894(14))]. given #1092 (F,wt=17): 29247 f(f(c_0,f(x,y)),f(c_0,f(f(x,y),f(z,u)))) = c_0. [para(15611(a,1),29223(a,1,2,2,1))]. given #1093 (F,wt=17): 29248 f(f(c_0,f(x,y)),f(c_0,f(f(x,x),f(z,u)))) = c_0. [para(29223(a,1),20922(a,1,2,2,2)),rewrite(28082(11),14874(11))]. given #1094 (T,wt=17): 29249 f(f(c_0,f(x,y)),f(c_0,f(f(y,y),f(z,u)))) = c_0. [para(29223(a,1),21213(a,1,2,2,2)),rewrite(28082(11),14874(11))]. given #1095 (T,wt=17): 29263 f(f(x,f(y,x)),f(f(y,x),f(x,z))) = f(y,x). [para(22(a,1),27606(a,1,1,2)),rewrite(28082(2),22(6),28082(4))]. given #1096 (A,wt=19): 20450 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(17250(a,1),20253(a,1,1,2)),rewrite(14500(9,R),16430(8))]. given #1097 (F,wt=17): 29266 f(x,f(f(y,x),f(z,f(x,f(y,x))))) = f(y,x). [para(22(a,1),27673(a,1,2,2,2,2)),rewrite(22(3),28082(3))]. given #1098 (F,wt=17): 29365 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(y,u))) = c_0. [para(29300(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(8),14553(8),28082(6),14500(6),28082(8))]. given #1099 (T,wt=17): 29366 f(f(x,y),f(c_0,f(z,f(y,y)))) = f(z,f(y,y)). [para(22(a,1),28173(a,1,1,2))]. given #1100 (T,wt=17): 29385 f(f(c_0,c_0),f(x,f(y,f(f(z,u),f(z,v))))) = c_0. [para(20446(a,1),28173(a,1,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(9),20446(17))]. given #1101 (A,wt=19): 20459 f(f(x,y),f(c_0,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = c_0. [para(15587(a,1),20253(a,1,1,2)),rewrite(14874(5),14500(11,R),16430(8))]. given #1102 (F,wt=17): 29397 f(x,f(y,f(c_0,f(f(x,x),f(z,u))))) = f(x,x). [para(29203(a,1),28173(a,1,2,2)),rewrite(14500(7,R),28082(5),14553(9),28082(7),29203(11))]. given #1103 (F,wt=17): 29433 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(x,u)))))) = x. [para(29367(a,1),28173(a,1,2,2)),rewrite(14500(9,R),28082(6),28082(9),14500(9),28082(9),29367(15))]. given #1104 (T,wt=17): 29534 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(u,x)))))) = x. [para(29506(a,1),28173(a,1,2,2)),rewrite(14500(9,R),28082(6),28082(9),14500(9),28082(9),29506(15))]. given #1105 (T,wt=17): 29626 f(f(x,f(x,y)),f(f(x,z),f(x,y))) = f(x,y). [para(19022(a,1),28425(a,1,2,2,2)),rewrite(28082(7),14553(7),28082(5),28082(6))]. given #1106 (A,wt=19): 20555 f(f(c_0,f(x,f(y,z))),f(c_0,f(u,f(c_0,f(y,z))))) = c_0. [para(15587(a,1),20295(a,1,1,2,2,2)),rewrite(14874(6),14500(13,R),16430(10))]. given #1107 (F,wt=13): 31166 f(x,f(f(y,z),f(y,x))) = f(y,x). [para(29626(a,1),29162(a,1,2,2)),rewrite(28082(7),29814(7),29626(10))]. given #1108 (F,wt=13): 31178 f(x,f(f(y,x),f(y,z))) = f(y,x). [para(31166(a,1),14874(a,1,2,2)),rewrite(14874(5),28082(4)),flip(a)]. given #1109 (T,wt=17): 29644 f(f(c_0,f(x,y)),f(f(z,u),f(x,y))) = f(x,y). [para(29262(a,1),28425(a,1,2,2,2)),rewrite(28082(9),14371(9),28082(6),28082(7))]. given #1110 (T,wt=17): 29645 f(f(x,f(x,y)),f(f(z,x),f(x,y))) = f(x,y). [para(29300(a,1),28425(a,1,2,2,2)),rewrite(28082(7),14553(7),28082(5),28082(6))]. given #1111 (A,wt=19): 21236 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(19088(a,1),20919(a,1,1,2,2)),rewrite(16430(6),14874(7))]. given #1112 (F,wt=13): 31212 f(x,f(f(y,z),f(z,x))) = f(z,x). [para(29645(a,1),29162(a,1,2,2)),rewrite(28082(7),30287(7),29645(10))]. given #1113 (F,wt=17): 29678 f(x,f(f(y,f(x,x)),f(f(x,x),f(z,u)))) = c_0. [para(29203(a,1),28982(a,1,1,2,2)),rewrite(28082(6),29203(11),14553(9),28082(7))]. given #1114 (T,wt=17): 29680 f(f(x,x),f(f(x,y),f(z,f(c_0,f(x,u))))) = c_0. [para(29367(a,1),28982(a,1,1,2,2)),rewrite(28082(5),28082(6),29367(13),28082(8),14500(8),28082(8))]. given #1115 (T,wt=17): 29681 f(f(x,x),f(f(x,y),f(z,f(c_0,f(u,x))))) = c_0. [para(29506(a,1),28982(a,1,1,2,2)),rewrite(28082(5),28082(6),29506(13),28082(8),14500(8),28082(8))]. given #1116 (A,wt=19): 21240 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,f(u,f(x,y)))))) = c_0. [para(19129(a,1),20919(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1117 (F,wt=17): 29683 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(x,z)))) = x. [para(22(a,1),19216(a,1,1,2)),rewrite(28082(2),22(7),28082(5),22(11))]. given #1118 (F,wt=17): 29704 f(f(x,f(x,y)),f(x,f(f(x,y),f(x,z)))) = x. [para(15879(a,1),29200(a,1,2,2)),rewrite(28082(6),15879(15))]. given #1119 (T,wt=17): 29715 f(x,f(f(x,y),f(z,f(c_0,f(y,u))))) = f(x,y). [para(29367(a,1),29200(a,1,2,2,2)),rewrite(28082(6),29367(13))]. given #1120 (T,wt=17): 29716 f(x,f(f(x,y),f(z,f(c_0,f(u,y))))) = f(x,y). [para(29506(a,1),29200(a,1,2,2,2)),rewrite(28082(6),29506(13))]. given #1121 (A,wt=19): 21242 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,f(u,f(x,y)))))) = c_0. [para(19132(a,1),20919(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1122 (F,wt=17): 29740 f(f(c_0,f(x,f(y,x))),f(f(z,y),f(y,u))) = c_0. [para(19297(a,2),20922(a,1,1,2)),rewrite(14874(7),28082(8))]. given #1123 (F,wt=17): 29802 f(f(x,y),f(c_0,f(x,f(f(y,z),f(y,u))))) = c_0. [para(29375(a,1),19132(a,1,1,2))]. given #1124 (T,wt=17): 29806 f(f(x,y),f(x,f(x,f(f(y,z),f(y,u))))) = x. [para(29375(a,1),27606(a,1,2,2)),rewrite(28082(7))]. given #1125 (T,wt=17): 29844 f(f(c_0,c_0),f(x,f(y,f(f(z,u),f(u,v))))) = c_0. [para(19297(a,2),29379(a,1,2,2,2,2)),rewrite(14874(10))]. given #1126 (A,wt=19): 21244 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(u,f(x,x)))))) = c_0. [para(19146(a,1),20919(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #1127 (F,wt=17): 29920 f(f(x,x),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(19328(a,1),20246(a,1,2,2)),rewrite(14500(12,R),28082(8),14874(8),28082(8),14500(8),28082(8))]. given #1128 (F,wt=17): 29957 f(f(x,f(x,y)),f(x,f(f(y,y),f(z,u)))) = x. [para(29203(a,1),29526(a,1,2,2,2,2)),rewrite(14553(7),28082(7))]. given #1129 (T,wt=17): 30013 f(x,f(f(x,y),f(f(x,x),f(z,u)))) = f(x,y). [para(29223(a,1),29564(a,1,2,2,2)),rewrite(28082(8),14874(8))]. given #1130 (T,wt=17): 30115 f(f(c_0,f(x,y)),f(x,f(f(x,z),f(x,y)))) = c_0. [para(19010(a,1),29846(a,1,1)),rewrite(14500(9,R),28082(9),14874(10),28082(8))]. given #1131 (A,wt=19): 21260 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(20246(a,1),20919(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1132 (F,wt=15): 31782 f(f(x,y),f(c_0,f(x,f(c_0,f(z,y))))) = c_0. [para(29716(a,1),30115(a,1,2)),rewrite(28082(8))]. given #1133 (F,wt=17): 30152 f(f(x,y),f(c_0,f(y,f(f(x,z),f(x,u))))) = c_0. [para(19010(a,2),29858(a,1,2,2,2,2)),rewrite(14874(9))]. given #1134 (T,wt=17): 30202 f(f(x,f(x,y)),f(c_0,f(f(x,z),f(x,y)))) = x. [para(19010(a,2),29877(a,1,1)),rewrite(14500(8,R),28082(8),14530(9),28082(8))]. given #1135 (T,wt=17): 30213 f(f(x,f(x,y)),f(c_0,f(f(z,x),f(x,y)))) = x. [para(19297(a,2),29877(a,1,1)),rewrite(14500(8,R),28082(8),14530(9),28082(8))]. given #1136 (A,wt=19): 21273 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [para(20296(a,1),20919(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #1137 (F,wt=17): 30229 f(f(x,y),f(x,f(x,f(f(z,y),f(y,u))))) = x. [para(19328(a,1),29880(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(7))]. given #1138 (F,wt=17): 30245 f(f(x,y),f(y,f(y,f(f(x,z),f(x,u))))) = y. [para(19010(a,2),29886(a,1,2,2,2,2)),rewrite(14874(8))]. given #1139 (T,wt=17): 30332 f(f(x,x),f(y,f(x,y))) = f(f(x,x),f(y,y)). [para(29950(a,1),28086(a,1,2,2)),rewrite(28082(3),14500(3),28082(4),28082(7)),flip(a)]. given #1140 (T,wt=17): 30511 f(f(x,f(x,y)),f(y,y)) = f(f(x,x),f(y,y)). [para(30340(a,1),28084(a,1,2,2,2)),rewrite(28082(6),29525(8)),flip(a)]. given #1141 (A,wt=19): 21275 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(20298(a,1),20919(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #1142 (F,wt=17): 31245 f(x,f(c_0,f(f(x,y),f(f(x,y),f(z,y))))) = c_0. [para(31212(a,1),17567(a,1,2,2,2)),rewrite(28082(3),28082(4),28082(5),28082(6))]. given #1143 (F,wt=17): 31262 f(f(c_0,f(x,y)),f(x,f(f(x,y),f(z,u)))) = c_0. [para(29367(a,1),29678(a,1,2,1)),rewrite(14500(10,R),28082(8),14874(8))]. given #1144 (T,wt=17): 31263 f(f(c_0,f(x,y)),f(y,f(f(x,y),f(z,u)))) = c_0. [para(29506(a,1),29678(a,1,2,1)),rewrite(14500(10,R),28082(8),14874(8))]. given #1145 (T,wt=17): 31421 f(f(x,y),f(x,f(c_0,f(y,z)))) = f(c_0,f(x,y)). [para(29715(a,1),29204(a,1,2)),rewrite(14500(3,R),28082(3)),flip(a)]. given #1146 (A,wt=19): 21276 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(y,y)))))) = c_0. [para(20299(a,1),20919(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1147 (F,wt=17): 31701 f(f(x,f(x,y)),f(x,f(f(x,y),f(z,u)))) = x. [para(14530(a,1),29957(a,1,1,2)),rewrite(14500(9,R),28082(7),14874(7))]. given #1148 (F,wt=17): 31712 f(f(c_0,f(x,y)),f(x,f(f(y,y),f(z,u)))) = c_0. [para(29957(a,1),28091(a,1,2,2,2)),rewrite(28082(8),12782(8),28082(8))]. given #1149 (T,wt=17): 31803 f(f(c_0,c_0),f(x,f(y,f(z,f(c_0,f(u,v)))))) = c_0. [para(29379(a,1),31782(a,1,2,2,2,2)),rewrite(14873(11),28082(10))]. given #1150 (T,wt=17): 31808 f(f(c_0,c_0),f(x,f(y,f(f(z,u),f(v,w))))) = c_0. [para(29845(a,1),31782(a,1,2,2,2,2)),rewrite(14873(10),28082(9))]. given #1151 (A,wt=19): 21278 f(f(c_0,f(x,f(y,y))),f(c_0,f(z,f(c_0,f(y,u))))) = c_0. [para(20304(a,1),20919(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #1152 (F,wt=17): 32028 f(f(c_0,f(x,y)),f(f(x,x),f(z,z))) = f(x,y). [para(30332(a,1),28123(a,1,1)),rewrite(14500(7,R),28082(7),14553(7),28082(5),28082(7),14500(10,R),28082(10),14553(10),28082(8))]. given #1153 (F,wt=17): 32062 f(x,f(f(y,f(x,y)),f(f(x,x),f(y,y)))) = c_0. [para(30332(a,1),30332(a,1,2,2)),rewrite(14500(3,R),28082(3),14553(3),14500(10,R),28082(10),14553(10),14500(12,R),28082(11),17567(12))]. given #1154 (T,wt=17): 32099 f(f(c_0,f(x,y)),f(f(z,z),f(x,x))) = f(x,y). [para(30511(a,1),28173(a,1,1)),rewrite(28082(5),28082(7),28082(8))]. given #1155 (T,wt=17): 32117 f(f(c_0,f(x,y)),f(x,f(f(z,z),f(y,y)))) = c_0. [para(30511(a,1),29846(a,1,1,2)),rewrite(14500(8,R),28082(8),14553(8),28082(8))]. given #1156 (A,wt=19): 21294 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(x,u)))))) = c_0. [para(20822(a,1),20919(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1157 (F,wt=17): 32156 f(x,f(f(y,f(y,x)),f(f(y,y),f(x,x)))) = c_0. [para(30511(a,1),30511(a,1,1,2)),rewrite(14500(9,R),28082(9),14553(9),28082(7),14500(12,R),28082(11),14500(14,R),28082(14),14553(14),28082(12),28091(12))]. given #1158 (F,wt=17): 32229 f(f(x,y),f(y,f(c_0,f(x,z)))) = f(c_0,f(x,y)). [para(28082(a,1),31421(a,1,1)),rewrite(28082(8))]. given #1159 (T,wt=17): 32337 f(f(x,y),f(x,f(f(x,f(x,y)),f(z,u)))) = x. [para(12782(a,1),31701(a,1,1))]. given #1160 (T,wt=17): 32343 f(f(x,y),f(y,f(f(y,f(x,y)),f(z,u)))) = y. [para(29297(a,1),31701(a,1,1))]. given #1161 (A,wt=19): 21300 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(y,u)))))) = c_0. [para(20919(a,1),20919(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1162 (F,wt=17): 32372 f(f(c_0,f(x,y)),f(y,f(f(x,x),f(z,u)))) = c_0. [para(28082(a,1),31712(a,1,1,2))]. given #1163 (F,wt=17): 32407 f(f(c_0,f(x,y)),f(f(x,x),f(z,u))) = f(x,y). [para(15611(a,1),32028(a,1,2,2))]. given #1164 (T,wt=17): 32544 f(f(x,y),f(c_0,f(x,f(f(z,y),f(y,u))))) = c_0. [para(29935(a,1),32117(a,1,2,2)),rewrite(28082(8))]. given #1165 (T,wt=17): 32883 f(f(c_0,f(x,y)),f(f(y,y),f(z,u))) = f(x,y). [para(28082(a,1),32407(a,1,1,2)),rewrite(28082(8))]. given #1166 (A,wt=27): 21360 f(f(c_0,f(x,y)),f(c_0,f(f(x,z),f(c_0,f(f(x,f(x,z)),f(u,f(x,z))))))) = c_0. [para(14787(a,1),20922(a,1,2,2,2)),rewrite(19648(13))]. given #1167 (F,wt=19): 21391 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(x,x)))) = c_0. [para(19138(a,1),20922(a,1,2,2,2)),rewrite(16430(11),14874(12))]. given #1168 (F,wt=19): 21836 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(y,y)))) = c_0. [para(19138(a,1),21213(a,1,2,2,2)),rewrite(16430(11),14874(12))]. given #1169 (T,wt=19): 21913 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,u)))))))) = c_0. [para(21214(a,1),21214(a,1,2,2,2,2,2)),rewrite(15858(11),14874(11))]. given #1170 (T,wt=19): 26787 f(c_0,f(x,f(f(x,y),f(x,z)))) = f(f(x,y),f(x,z)). [para(19010(a,1),14530(a,1,2)),rewrite(26783(6))]. given #1171 (A,wt=21): 21639 f(f(x,x),f(f(y,f(c_0,f(x,z))),f(u,f(c_0,f(x,z))))) = c_0. [para(19138(a,1),21093(a,1,2,2,2)),rewrite(14500(5,R),16430(5),14500(9,R),16430(9),16430(13),14874(14))]. given #1172 (F,wt=19): 28089 f(x,f(c_0,f(f(x,y),f(c_0,f(y,f(z,f(x,y))))))) = c_0. [para(27434(a,1),17567(a,1,2,2,2)),rewrite(28082(3),28082(4),28082(7),28082(8))]. given #1173 (F,wt=19): 28092 f(x,f(c_0,f(f(y,x),f(c_0,f(y,f(z,f(y,x))))))) = c_0. [para(27434(a,1),18567(a,1,1,2,2)),rewrite(28082(4),28082(8),28082(10))]. given #1174 (T,wt=19): 28138 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(u,f(x,z))))) = c_0. [para(27434(a,1),20823(a,1,1,2,2,1)),rewrite(28082(3),28082(8),28082(13),14500(16,R),28082(12),14874(12),28082(9))]. given #1175 (T,wt=19): 28180 f(x,f(c_0,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(16054(a,1),27434(a,1,2,2,2)),rewrite(28082(5),14530(11),28082(10),14534(10),28082(9)),flip(a)]. given #1176 (A,wt=23): 21661 f(x,f(f(y,f(c_0,f(z,f(x,x)))),f(u,f(c_0,f(z,f(x,x)))))) = c_0. [para(19138(a,1),21119(a,1,2,2,2)),rewrite(14500(6,R),16430(5),14500(11,R),16430(10),16430(14),14874(15))]. given #1177 (F,wt=15): 33264 f(f(c_0,f(x,f(x,y))),f(c_0,f(z,y))) = c_0. [para(21213(a,1),28180(a,1,2,2)),rewrite(14873(4),28082(6),28082(9)),flip(a)]. given #1178 (F,wt=15): 33274 f(f(x,y),f(x,f(y,f(c_0,f(x,z))))) = x. [para(28180(a,1),29424(a,1,2,2))]. given #1179 (T,wt=15): 33278 f(f(x,y),f(y,f(x,f(c_0,f(y,z))))) = y. [para(28180(a,1),29886(a,1,2,2))]. given #1180 (T,wt=15): 33312 f(f(c_0,f(x,y)),f(c_0,f(z,f(z,y)))) = c_0. [para(33264(a,1),28180(a,1,2,2)),rewrite(14873(4),28082(9)),flip(a)]. given #1181 (A,wt=27): 21810 f(f(c_0,f(x,y)),f(c_0,f(f(y,z),f(c_0,f(f(y,f(y,z)),f(u,f(y,z))))))) = c_0. [para(14787(a,1),21213(a,1,2,2,2)),rewrite(19648(13))]. given #1182 (F,wt=15): 33404 f(f(x,f(y,f(z,z))),f(x,f(z,x))) = x. [para(28173(a,1),33278(a,1,2,2)),rewrite(28082(3),28082(4))]. given #1183 (F,wt=17): 33318 f(f(x,y),f(x,f(y,f(f(x,z),f(x,u))))) = x. [para(19010(a,2),33274(a,1,2,2,2,2)),rewrite(14874(8))]. given #1184 (T,wt=17): 33393 f(f(x,y),f(y,f(x,f(f(y,z),f(y,u))))) = y. [para(19010(a,2),33278(a,1,2,2,2,2)),rewrite(14874(8))]. given #1185 (T,wt=19): 28207 f(x,f(c_0,f(f(x,f(x,y)),f(z,f(x,x))))) = f(x,y). [back_rewrite(27919),rewrite(28082(3),28174(7),28082(5),28082(10),28174(14))]. given #1186 (A,wt=27): 21883 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(c_0,f(f(x,f(x,z)),f(u,f(x,z))))))))) = c_0. [para(14787(a,1),21214(a,1,2,2,2,2,2)),rewrite(19648(11))]. given #1187 (F,wt=19): 28211 f(x,f(c_0,f(y,f(y,f(z,f(y,f(y,f(x,x)))))))) = c_0. [back_rewrite(27780),rewrite(28082(3),28082(5))]. given #1188 (F,wt=19): 28212 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(y,x))))))) = c_0. [back_rewrite(27772),rewrite(28082(2),28082(4),28082(9))]. given #1189 (T,wt=19): 28213 f(f(x,x),f(f(y,f(x,x)),f(x,z))) = f(y,f(x,x)). [back_rewrite(27666),rewrite(28174(8),28082(6))]. given #1190 (T,wt=19): 28214 f(f(x,x),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [back_rewrite(27655),rewrite(28082(2),28082(4),28174(8),28082(4),28082(6),28082(8))]. given #1191 (A,wt=21): 23452 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(f(x,u),f(x,v))))))) = c_0. [para(20307(a,1),20919(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #1192 (F,wt=19): 28298 f(f(c_0,f(x,y)),f(c_0,f(z,f(z,f(u,f(y,y)))))) = c_0. [back_rewrite(21879),rewrite(28082(6),28082(7))]. given #1193 (F,wt=19): 28299 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,x)))))))) = c_0. [back_rewrite(21866),rewrite(28082(4),28082(5),28082(10))]. given #1194 (T,wt=19): 28300 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(z,f(x,u))))))) = c_0. [back_rewrite(21864),rewrite(28082(4),28082(10))]. given #1195 (T,wt=19): 28301 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(z,f(u,x))))))) = c_0. [back_rewrite(21863),rewrite(28082(4),28082(10))]. given #1196 (A,wt=21): 23458 f(f(c_0,f(x,f(y,y))),f(c_0,f(z,f(f(y,u),f(y,v))))) = c_0. [para(20307(a,1),21807(a,1,1,2,2,2,2)),rewrite(16430(5),14553(5),15175(3))]. given #1197 (F,wt=19): 28303 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [back_rewrite(21753),rewrite(28082(4),28082(6),28082(7))]. given #1198 (F,wt=19): 28304 f(f(c_0,f(x,y)),f(c_0,f(z,f(z,f(u,f(x,x)))))) = c_0. [back_rewrite(21748),rewrite(28082(6),28082(7))]. given #1199 (T,wt=19): 28305 f(f(x,x),f(c_0,f(y,f(y,f(z,f(c_0,f(x,u))))))) = c_0. [back_rewrite(21743),rewrite(28082(5),28082(6),28082(10))]. given #1200 (T,wt=19): 28306 f(f(x,x),f(c_0,f(y,f(y,f(z,f(c_0,f(u,x))))))) = c_0. [back_rewrite(21742),rewrite(28082(5),28082(6),28082(10))]. given #1201 (A,wt=27): 23722 f(f(f(x,y),f(x,z)),f(c_0,f(u,f(x,f(v,f(c_0,f(f(x,y),f(x,z)))))))) = c_0. [para(15894(a,1),20454(a,1,2,2,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #1202 (F,wt=19): 28310 f(f(c_0,f(x,f(y,y))),f(c_0,f(z,f(z,f(y,u))))) = c_0. [back_rewrite(21651),rewrite(28082(3),28082(7))]. given #1203 (F,wt=19): 28320 f(f(c_0,f(x,f(x,f(y,z)))),f(c_0,f(u,f(y,y)))) = c_0. [back_rewrite(21464),rewrite(28082(3),28082(8))]. given #1204 (T,wt=19): 28321 f(f(c_0,f(x,f(x,f(y,z)))),f(c_0,f(u,f(z,z)))) = c_0. [back_rewrite(21463),rewrite(28082(3),28082(8))]. given #1205 (T,wt=19): 28630 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(x,y))))))) = c_0. [back_rewrite(27779),rewrite(28082(5))]. given #1206 (A,wt=27): 23725 f(f(f(x,y),f(y,z)),f(c_0,f(u,f(y,f(v,f(c_0,f(f(x,y),f(y,z)))))))) = c_0. [para(19161(a,1),20454(a,1,2,2,2,1)),rewrite(14500(11,R),15858(7),14874(7))]. given #1207 (F,wt=19): 28634 f(f(x,y),f(c_0,f(x,f(x,f(z,f(x,f(x,y))))))) = c_0. [back_rewrite(27751),rewrite(28082(2),28082(4),28082(8),28082(9))]. given #1208 (F,wt=19): 28635 f(f(x,y),f(c_0,f(y,f(y,f(z,f(y,f(x,y))))))) = c_0. [back_rewrite(27750),rewrite(28082(5))]. given #1209 (T,wt=19): 28818 f(f(x,f(y,f(z,x))),f(c_0,f(u,f(u,f(z,x))))) = c_0. [back_rewrite(25370),rewrite(28082(3),28082(6))]. given #1210 (T,wt=19): 28836 f(f(x,y),f(c_0,f(z,f(z,f(u,f(c_0,f(x,y))))))) = c_0. [back_rewrite(24200),rewrite(28180(9),28082(7))]. given #1211 (A,wt=25): 23738 f(f(x,y),f(c_0,f(z,f(f(u,f(c_0,f(x,y))),f(v,f(c_0,f(x,y))))))) = c_0. [para(15611(a,1),20458(a,1,1))]. given #1212 (F,wt=19): 28901 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(u,x)))))))) = c_0. [back_rewrite(22260),rewrite(28082(4),28082(11))]. given #1213 (F,wt=19): 28907 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(u,x)))))) = c_0. [back_rewrite(21869),rewrite(28082(3),28082(9),28082(11))]. given #1214 (T,wt=19): 28908 f(f(c_0,f(x,f(x,y))),f(c_0,f(z,f(c_0,f(y,u))))) = c_0. [back_rewrite(21868),rewrite(28082(2),28082(7))]. given #1215 (T,wt=19): 28911 f(f(c_0,f(x,f(x,f(y,f(z,z))))),f(c_0,f(z,u))) = c_0. [back_rewrite(21673),rewrite(28082(4),28082(8))]. given #1216 (A,wt=21): 23909 f(f(c_0,f(x,f(c_0,f(y,f(z,z))))),f(f(z,u),f(z,v))) = c_0. [para(20544(a,1),21213(a,1,2,2,2)),rewrite(16430(13),14874(14))]. given #1217 (F,wt=19): 28936 f(f(c_0,f(x,y)),f(c_0,f(z,f(z,f(u,f(x,y)))))) = c_0. [back_rewrite(21363),rewrite(28082(6),28082(7))]. given #1218 (F,wt=19): 28937 f(f(c_0,f(x,f(y,y))),f(c_0,f(z,f(c_0,f(u,y))))) = c_0. [back_rewrite(21262),rewrite(28082(5),28082(11))]. given #1219 (T,wt=19): 28938 f(f(x,f(y,f(z,x))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [back_rewrite(21232),rewrite(28082(3))]. given #1220 (T,wt=19): 29265 f(f(x,f(x,y)),f(x,f(z,f(x,f(u,f(x,y)))))) = x. [para(27606(a,1),28196(a,1,2,1)),rewrite(28082(6),27606(14))]. given #1221 (A,wt=25): 24073 f(f(c_0,f(x,f(y,z))),f(f(u,f(c_0,f(y,z))),f(v,f(c_0,f(y,z))))) = c_0. [para(15611(a,1),20554(a,1,1,2,2))]. given #1222 (F,wt=19): 29267 f(f(x,y),f(x,f(z,f(x,f(u,f(x,f(x,y))))))) = x. [para(27673(a,1),28196(a,1,2,1)),rewrite(28082(6),27673(14))]. given #1223 (F,wt=19): 29301 f(f(x,f(y,x)),f(c_0,f(x,f(z,f(y,x))))) = f(y,x). [para(27747(a,1),15879(a,1,1,2)),rewrite(28082(2),27747(9),28082(5))]. given #1224 (T,wt=19): 29306 f(f(x,y),f(y,f(z,f(y,f(u,f(y,f(x,y))))))) = y. [para(27747(a,1),28196(a,1,2,1)),rewrite(28082(6),27747(14))]. given #1225 (T,wt=19): 29343 f(x,f(c_0,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(18333(a,1),28086(a,1,2,2,2)),rewrite(29162(11),28082(10),29162(10)),flip(a)]. given #1226 (A,wt=27): 24246 f(f(x,f(y,f(c_0,f(f(x,z),f(x,u))))),f(c_0,f(v,f(f(x,z),f(x,u))))) = c_0. [para(15894(a,1),20642(a,1,1,1)),rewrite(14500(19,R),15858(15),14874(15))]. given #1227 (F,wt=15): 34791 f(f(x,y),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(31782(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(2)),flip(a)]. given #1228 (F,wt=17): 34800 f(f(x,y),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(32544(a,1),29343(a,1,2,2)),rewrite(28082(7),29262(7),28082(2)),flip(a)]. given #1229 (T,wt=19): 29369 f(f(x,f(y,y)),f(f(x,f(y,y)),f(y,z))) = f(y,z). [para(28173(a,1),12782(a,1,2,2)),rewrite(28082(5),28082(11),28174(13))]. given #1230 (T,wt=19): 29371 f(f(x,y),f(f(x,y),f(z,f(y,y)))) = f(z,f(y,y)). [para(28173(a,1),16188(a,1,1)),rewrite(28173(9),28082(5))]. given #1231 (A,wt=21): 24434 f(f(f(x,f(y,y)),f(z,f(y,y))),f(f(y,u),f(y,v))) = c_0. [para(19138(a,1),21058(a,1,1,2,2)),rewrite(16430(8),14874(9))]. given #1232 (F,wt=19): 29372 f(f(x,y),f(f(z,f(x,x)),f(x,y))) = f(z,f(x,x)). [para(28173(a,1),16188(a,1,2,2)),rewrite(28082(4),28174(6),28082(4))]. given #1233 (F,wt=19): 29380 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(x,y)))) = c_0. [para(28173(a,1),19132(a,1,1,2,2)),rewrite(28082(3),28082(10),28174(12),28082(9))]. given #1234 (T,wt=19): 29406 f(f(x,f(y,f(z,f(y,u)))),f(c_0,f(y,u))) = f(y,u). [para(28084(a,1),28173(a,1,2,2)),rewrite(28082(2),28082(7),14500(11,R),28082(7),14874(7),28082(6),28082(10),28086(14))]. given #1235 (T,wt=19): 29418 f(x,f(x,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(29367(a,1),17394(a,1,1)),rewrite(29367(10),28082(5))]. given #1236 (A,wt=23): 24999 f(x,f(f(y,f(c_0,f(z,f(x,z)))),f(u,f(c_0,f(z,f(x,z)))))) = c_0. [para(18567(a,1),21077(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #1237 (F,wt=15): 35081 f(x,f(c_0,f(y,f(c_0,f(z,f(x,y)))))) = c_0. [para(29418(a,1),29205(a,1,2,2)),rewrite(28082(4))]. given #1238 (F,wt=15): 35142 f(x,f(c_0,f(y,f(c_0,f(z,f(y,x)))))) = c_0. [para(35081(a,1),28082(a,1)),rewrite(28082(4),28082(9)),flip(a)]. given #1239 (T,wt=15): 35151 f(x,f(c_0,f(y,f(x,f(z,f(y,y)))))) = c_0. [para(28174(a,1),35081(a,1,2,2))]. given #1240 (T,wt=15): 35187 f(x,f(c_0,f(f(x,y),f(c_0,f(y,z))))) = c_0. [para(31421(a,1),35081(a,1,2,2,2,2)),rewrite(14874(9),28082(6))]. given #1241 (A,wt=21): 25004 f(f(f(x,y),f(x,z)),f(f(u,f(x,x)),f(v,f(x,x)))) = c_0. [para(19022(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. given #1242 (F,wt=15): 35256 f(x,f(c_0,f(f(y,y),f(x,f(y,z))))) = c_0. [para(22(a,1),35151(a,1,2,2,2,2,2)),rewrite(28082(3))]. given #1243 (F,wt=15): 35262 f(x,f(c_0,f(f(x,y),f(c_0,f(z,y))))) = c_0. [para(29506(a,1),35151(a,1,2,2,2,2)),rewrite(28082(6))]. given #1244 (T,wt=15): 35277 f(x,f(c_0,f(f(x,f(y,z)),f(z,z)))) = c_0. [para(22(a,1),35187(a,1,2,2,2,2)),rewrite(28082(5),14500(5))]. given #1245 (T,wt=15): 35341 f(x,f(c_0,f(f(y,x),f(c_0,f(y,z))))) = c_0. [para(35187(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(3)),flip(a)]. given #1246 (A,wt=25): 25005 f(f(x,x),f(f(y,f(f(x,z),f(x,u))),f(v,f(f(x,z),f(x,u))))) = c_0. [para(19023(a,1),21077(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #1247 (F,wt=15): 35394 f(x,f(c_0,f(f(y,x),f(c_0,f(z,y))))) = c_0. [para(35262(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(3)),flip(a)]. given #1248 (F,wt=17): 35140 f(x,f(c_0,f(y,f(x,f(f(x,y),f(x,z)))))) = c_0. [para(19010(a,1),35081(a,1,2,2,2)),rewrite(28082(4))]. given #1249 (T,wt=15): 35500 f(x,f(c_0,f(y,f(x,f(z,f(x,y)))))) = c_0. [para(29200(a,1),35140(a,1,2,2,2))]. given #1250 (T,wt=15): 35536 f(x,f(c_0,f(y,f(x,f(z,f(y,x)))))) = c_0. [para(35500(a,1),28082(a,1)),rewrite(28082(3),28082(8)),flip(a)]. given #1251 (A,wt=21): 25006 f(f(f(x,y),f(y,z)),f(f(u,f(y,y)),f(v,f(y,y)))) = c_0. [para(19042(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. given #1252 (F,wt=17): 35215 f(x,f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(19010(a,1),35142(a,1,2,2,2)),rewrite(28082(3),28082(4))]. given #1253 (F,wt=15): 35810 f(x,f(c_0,f(y,f(y,f(z,f(x,y)))))) = c_0. [para(29200(a,1),35215(a,1,2,2,2))]. given #1254 (T,wt=15): 35946 f(x,f(c_0,f(y,f(y,f(z,f(y,x)))))) = c_0. [para(35810(a,1),28082(a,1)),rewrite(28082(3),28082(8)),flip(a)]. given #1255 (T,wt=17): 35263 f(x,f(c_0,f(f(x,y),f(f(y,z),f(y,u))))) = c_0. [para(29375(a,1),35151(a,1,2,2,2,2)),rewrite(28082(6))]. given #1256 (A,wt=23): 25017 f(f(c_0,f(x,f(c_0,f(y,z)))),f(f(u,f(y,z)),f(v,f(y,z)))) = c_0. [para(18989(a,1),21077(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #1257 (F,wt=17): 35265 f(x,f(c_0,f(f(x,y),f(f(z,y),f(y,u))))) = c_0. [para(29935(a,1),35151(a,1,2,2,2,2)),rewrite(28082(6))]. given #1258 (F,wt=17): 35373 f(x,f(c_0,f(y,f(x,f(f(y,y),f(z,u)))))) = c_0. [para(29203(a,1),35262(a,1,2,2,2,2)),rewrite(14553(8),28082(6))]. given #1259 (T,wt=17): 35489 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(x,z)))))) = c_0. [para(19010(a,2),35140(a,1,2,2,2))]. given #1260 (T,wt=17): 35491 f(x,f(c_0,f(y,f(x,f(f(y,x),f(x,z)))))) = c_0. [para(35140(a,1),28082(a,1)),rewrite(28082(3),28082(9)),flip(a)]. given #1261 (A,wt=27): 25019 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(u,f(x,y)))),f(v,f(c_0,f(u,f(x,y)))))) = c_0. [para(18991(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1262 (F,wt=17): 35794 f(x,f(c_0,f(y,f(y,f(f(y,x),f(y,z)))))) = c_0. [para(35215(a,1),28082(a,1)),rewrite(28082(3),28082(9)),flip(a)]. given #1263 (F,wt=17): 35811 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(y,z)))))) = c_0. [para(19297(a,2),35215(a,1,2,2,2))]. given #1264 (T,wt=17): 36154 f(x,f(c_0,f(f(y,x),f(f(y,z),f(y,u))))) = c_0. [para(35263(a,1),29343(a,1,2,2)),rewrite(28082(7),29262(7),28082(3)),flip(a)]. given #1265 (T,wt=17): 36189 f(x,f(c_0,f(f(y,x),f(f(z,y),f(y,u))))) = c_0. [para(35265(a,1),29343(a,1,2,2)),rewrite(28082(7),29262(7),28082(3)),flip(a)]. given #1266 (A,wt=29): 25020 f(f(x,y),f(f(z,f(c_0,f(u,f(c_0,f(x,y))))),f(v,f(c_0,f(u,f(c_0,f(x,y))))))) = c_0. [para(19008(a,1),21077(a,1,1,2,2)),rewrite(16430(4),14874(5))]. given #1267 (F,wt=17): 36212 f(x,f(c_0,f(y,f(c_0,f(f(y,x),f(x,z)))))) = c_0. [para(35489(a,1),28082(a,1)),rewrite(28082(4),28082(10)),flip(a)]. given #1268 (F,wt=17): 36415 f(x,f(c_0,f(y,f(c_0,f(f(y,x),f(y,z)))))) = c_0. [para(35811(a,1),28082(a,1)),rewrite(28082(4),28082(10)),flip(a)]. given #1269 (T,wt=19): 29427 f(f(x,f(c_0,f(y,z))),f(y,f(x,f(c_0,f(y,z))))) = y. [para(29367(a,1),29297(a,1,2,2)),rewrite(28082(9),29367(16))]. given #1270 (T,wt=19): 29431 f(f(c_0,f(x,y)),f(c_0,f(x,z))) = f(z,f(c_0,f(x,y))). [para(29367(a,1),28086(a,1,2,2,2)),rewrite(28082(5))]. given #1271 (A,wt=25): 25037 f(f(x,f(y,f(x,z))),f(f(u,f(c_0,f(x,z))),f(v,f(c_0,f(x,z))))) = c_0. [para(19088(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. given #1272 (F,wt=15): 36585 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(y,x))). [para(29431(a,2),28082(a,2)),rewrite(28082(4),36584(11))]. ============================== PROOF ================================= % Proof 1 at 165.66 (+ 0.54) seconds: A_SS. % Length of proof is 231. % Level of proof is 50. % Maximum clause weight is 59. % Given clauses 1272. 1 f(x,f(f(y,z),f(y,z))) = f(y,f(f(x,z),f(x,z))) # answer(A_SS) # label(goal). [goal]. 3 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))) = y # label(MOL_SS). [assumption]. 4 f(c1,f(f(c2,c3),f(c2,c3))) != f(c2,f(f(c1,c3),f(c1,c3))) # answer(A_SS). [deny(1)]. 7 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),f(f(z,x),w)))) = f(z,x). [para(3(a,1),3(a,1,2,2,1,1,1,1))]. 9 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),z))) = f(y,z). [para(3(a,1),3(a,1,2,2,2))]. 10 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(3(a,1),9(a,1,1,2)),rewrite(3(12),3(12),3(14),3(17),3(30))]. 11 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),x))) = f(z,x). [para(3(a,1),9(a,1,2,2,1,1,1,1))]. 14 f(f(x,y),f(f(f(y,y),z),y)) = y. [para(3(a,1),10(a,1,2,2))]. 15 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),w),f(f(f(f(f(y,v6),w),w),y),f(y,v7)))))))) = y. [para(10(a,1),9(a,1,1,2)),rewrite(10(20),10(20),10(22),10(25),10(46))]. 22 f(f(x,y),f(y,y)) = y. [para(3(a,1),14(a,1,2,1))]. 38 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,y),u)))) = f(y,y). [para(22(a,1),3(a,1,2,1,1))]. 39 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,y)),f(y,y)),y),f(y,z)))) = y. [para(22(a,1),3(a,1,2,1))]. 40 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),f(f(y,x),u)))) = f(y,x). [para(22(a,1),3(a,1,2,2,1,1,1,1))]. 41 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(y,z)))) = y. [para(22(a,1),3(a,1,2,2,1,1,1))]. 46 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),x))) = f(y,x). [para(22(a,1),9(a,1,2,2,1,1,1,1))]. 47 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(x,x)),f(f(f(x,f(x,x)),f(y,z)),z))) = f(y,z). [para(22(a,1),9(a,1,2,2,1,1,1))]. 48 f(f(x,f(y,y)),y) = f(y,y). [para(22(a,1),9(a,1,2,2,1)),rewrite(22(5),22(5))]. 52 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(22(a,1),10(a,1,2,2,1,1,1))]. 57 f(f(f(x,x),y),x) = f(x,x). [para(14(a,1),22(a,1,1)),rewrite(14(7)),flip(a)]. 59 f(f(x,y),f(y,f(f(y,y),f(y,z)))) = y. [back_rewrite(39),rewrite(48(7))]. 67 f(f(x,f(y,f(x,x))),f(f(f(f(y,f(x,x)),f(y,f(x,x))),z),f(f(f(f(f(x,x),z),z),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [para(48(a,1),9(a,1,2,2,1,1,1,1))]. 68 f(f(f(x,x),f(y,z)),f(f(f(f(y,z),f(y,z)),x),f(f(f(f(x,x),x),f(y,z)),z))) = f(y,z). [para(48(a,1),9(a,1,2,2,1,1,1))]. 73 f(f(x,f(f(x,x),y)),f(f(f(f(f(x,x),y),f(f(x,x),y)),z),f(f(f(f(f(x,x),z),z),f(f(x,x),y)),f(f(f(x,x),y),u)))) = f(f(x,x),y). [para(57(a,1),3(a,1,2,2,1,1,1,1))]. 74 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))) = x. [para(57(a,1),3(a,1,2,2,1,1))]. 78 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),y))) = f(x,y). [para(57(a,1),9(a,1,2,2,1,1))]. 82 f(f(x,y),f(x,x)) = x. [para(22(a,1),57(a,1,1,1)),rewrite(22(6))]. 86 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(y,z)))) = y. [para(82(a,1),3(a,1,2,2,1,1))]. 88 f(x,f(f(y,x),f(y,x))) = f(y,x). [para(3(a,1),82(a,1,1))]. 90 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(f(f(y,z),x),f(f(y,z),x))),f(f(f(f(y,z),x),f(y,z)),z))) = f(y,z). [para(82(a,1),9(a,1,2,2,1,1))]. 92 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(82(a,1),10(a,1,2,2,1,1))]. 97 f(x,f(f(x,y),f(x,y))) = f(x,y). [para(82(a,1),82(a,1,1))]. 100 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(y,u)))) = y. [para(88(a,1),3(a,1,2,2,1,1,1,1))]. 102 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(u,y)))) = y. [para(88(a,1),3(a,1,2,2,2))]. 103 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(x,x)) = x. [para(3(a,1),88(a,1,2,1)),rewrite(3(20),3(22))]. 107 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(v,y),u),u),y),f(y,w)))))) = y. [para(88(a,1),10(a,1,2,2,2,2,1,1,1,1))]. 113 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),f(f(y,x),v)))) = f(y,x). [para(22(a,1),7(a,1,1,1,2,1,1,1))]. 121 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),f(x,x)),f(f(x,f(z,x)),f(f(z,x),v)))) = f(z,x). [para(82(a,1),7(a,1,2,2,1,1))]. 122 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),z))) = f(z,x). [para(82(a,1),7(a,1,2,2,2))]. 123 f(f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),f(f(x,y),u))),f(f(x,y),f(x,y))) = f(x,y). [para(7(a,1),88(a,1,2,1)),rewrite(7(37),7(40))]. 141 f(f(x,f(f(x,x),f(x,y))),f(x,f(f(x,x),f(x,y)))) = x. [para(59(a,1),57(a,1)),flip(a)]. 201 f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(x,x)) = x. [para(74(a,1),88(a,1,2,1)),rewrite(74(16),74(18))]. 210 f(x,f(f(x,x),f(x,y))) = f(x,x). [para(141(a,1),22(a,1,1)),rewrite(141(9)),flip(a)]. 215 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),z))))) = f(y,z). [para(11(a,1),9(a,1,1,2)),rewrite(11(24),11(25),11(28),11(32),11(47))]. 217 f(f(f(f(f(x,x),x),f(f(x,x),x)),x),f(f(f(f(x,x),x),f(f(x,x),x)),x)) = f(f(f(x,x),x),f(f(f(f(x,x),x),f(f(x,x),x)),x)). [para(11(a,1),48(a,1,1)),flip(a)]. 227 f(f(x,y),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(3(a,1),210(a,1,2,2))]. 231 f(f(x,x),f(x,f(f(x,x),y))) = x. [para(22(a,1),210(a,1,2,1)),rewrite(82(8))]. 234 f(f(x,y),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(82(a,1),210(a,1,2,2))]. 235 f(x,f(f(x,x),f(y,x))) = f(x,x). [para(88(a,1),210(a,1,2,2))]. 237 f(f(f(f(f(x,x),x),f(f(x,x),x)),x),f(f(f(f(x,x),x),f(f(x,x),x)),x)) = f(f(f(x,x),x),f(f(x,x),x)). [back_rewrite(217),rewrite(227(22))]. 239 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(x,z)))) = x. [para(231(a,1),3(a,1,2,2,1,1,1)),rewrite(231(6))]. 244 f(f(x,x),f(x,f(y,f(x,x)))) = x. [para(88(a,1),231(a,1,2,2))]. 260 f(f(f(f(x,x),x),f(f(x,x),x)),x) = f(f(x,x),x). [para(11(a,1),244(a,1,2,2)),rewrite(237(13),57(14),82(11)),flip(a)]. 278 f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(22(a,1),260(a,1,1,1,1)),rewrite(82(5),82(10))]. 285 f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(x,x)) = x. [para(88(a,1),201(a,1,1,2,2))]. 296 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))))) = f(x,x). [para(3(a,1),227(a,1,1)),rewrite(3(11),3(11),3(23),3(23))]. 327 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),x) = f(x,x). [para(22(a,1),285(a,1,1,1,1)),rewrite(82(5),82(11))]. 344 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),w),f(f(f(f(f(v6,y),w),w),y),f(y,v7)))))))) = y. [para(88(a,1),15(a,1,2,2,2,2,2,2,1,1,1,1))]. 353 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(88(a,1),239(a,1,2,2,2))]. 394 f(f(x,x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(88(a,1),353(a,1,2))]. 454 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),f(x,x)),f(f(f(x,f(x,x)),f(y,z)),y))) = f(y,z). [para(82(a,1),41(a,1,2,2,2))]. 462 f(x,f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(285(a,1),41(a,1,2,2,1)),rewrite(22(4),82(3),88(6))]. 463 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(x,y)))) = x. [para(327(a,1),41(a,1,2,2,1)),rewrite(48(3),88(8))]. 474 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),f(f(x,x),f(x,z))),f(f(f(f(x,x),f(f(x,x),f(x,z))),f(y,x)),f(f(y,x),u)))) = f(y,x). [para(210(a,1),40(a,1,2,2,1,1,1))]. 521 f(f(f(x,x),f(y,x)),f(f(f(f(y,x),f(y,x)),f(x,x)),f(f(x,f(y,x)),x))) = f(y,x). [para(82(a,1),46(a,1,2,2,1,1))]. 564 f(f(x,f(x,x)),f(x,f(f(x,x),y))) = x. [para(41(a,1),47(a,1,2,2,1)),rewrite(82(3),82(6),82(10),82(13),82(16),82(19),82(27),231(27),48(23),82(9),82(3),82(6)),flip(a)]. 577 f(f(x,f(x,x)),f(x,f(y,f(x,x)))) = x. [para(88(a,1),564(a,1,2,2))]. 590 f(f(f(x,x),x),f(f(x,x),f(y,x))) = f(x,x). [para(22(a,1),577(a,1,1,2)),rewrite(82(6))]. 681 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(x,x)) = x. [para(102(a,1),88(a,1,2,1)),rewrite(102(20),102(22))]. 684 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [para(88(a,1),102(a,1,2,2,1,1,1,1))]. 737 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(564(a,1),102(a,1,2,2,1,1,1)),rewrite(231(7))]. 837 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u)))))) = x. [para(327(a,1),52(a,1,2,2,1)),rewrite(48(3),88(8))]. 958 f(f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(74(a,1),681(a,1,1,2,1,1,1,1)),rewrite(82(3),82(12))]. 1010 f(f(f(x,x),x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(88(a,1),737(a,1,2))]. 1028 f(f(x,f(x,f(f(x,x),y))),x) = f(x,x). [para(1010(a,1),46(a,1,2,2,1)),rewrite(394(7),22(14)),flip(a)]. 1036 f(f(x,f(x,f(y,f(x,x)))),x) = f(x,x). [para(88(a,1),1028(a,1,1,2,2))]. 1052 f(f(f(x,x),f(f(x,x),f(y,x))),f(x,x)) = x. [para(22(a,1),1036(a,1,1,2,2,2)),rewrite(82(10))]. 1330 f(f(f(x,x),x),f(x,f(f(x,x),y))) = x. [para(86(a,1),47(a,1,2,2,1)),rewrite(82(3),88(6),22(6),462(7),82(4),88(7),22(7),82(10),88(13),22(13),22(21),231(21),48(17),82(3),82(3),88(6),22(6)),flip(a)]. 1349 f(f(x,f(x,x)),f(f(x,x),f(x,y))) = f(x,x). [para(86(a,1),68(a,1,2,2,1)),rewrite(88(8),48(6),463(8),88(7),48(5),88(13),48(11),48(17),210(18),22(16),88(8),48(6)),flip(a)]. 1359 f(f(f(x,x),x),f(x,f(y,f(x,x)))) = x. [para(88(a,1),1330(a,1,2,2))]. 1392 f(f(x,f(x,x)),f(f(x,x),f(y,x))) = f(x,x). [para(22(a,1),1359(a,1,1,1)),rewrite(82(6))]. 1413 f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(3(a,1),1349(a,1,2,2))]. 1420 f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(82(a,1),1349(a,1,2,2))]. 1654 f(f(x,f(f(x,x),x)),f(f(f(x,x),x),f(f(f(x,x),f(f(x,x),x)),f(f(f(x,x),x),y)))) = f(f(x,x),x). [para(260(a,1),73(a,1,2,1)),rewrite(57(8))]. 1794 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y))))) = f(x,y). [para(11(a,1),78(a,1,1,1)),rewrite(11(23),11(25),11(26),11(28),11(30),11(31),11(33),11(48))]. 2381 f(f(f(f(x,x),f(y,x)),f(f(x,x),x)),x) = f(f(x,x),x). [para(590(a,1),90(a,1,2,1,2,1)),rewrite(590(18),82(14),260(12),590(14),57(13),22(10))]. 2436 f(f(x,x),f(f(f(x,x),f(f(x,x),x)),f(f(f(x,x),x),f(y,x)))) = x. [para(2381(a,1),102(a,1,2,2,1))]. 2491 f(f(x,x),f(f(x,x),x)) = x. [para(22(a,1),2436(a,1,2))]. 2498 f(x,f(x,f(x,x))) = f(x,x). [para(278(a,1),2436(a,1,2,2,2)),rewrite(82(3),82(3),82(3),82(6),22(9))]. 2537 f(f(x,f(f(x,x),x)),f(f(f(x,x),x),f(x,f(f(f(x,x),x),y)))) = f(f(x,x),x). [back_rewrite(1654),rewrite(2491(9))]. 2576 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(y,y),y)),f(f(y,y),y)),y),f(z,y)))) = y. [para(2491(a,1),102(a,1,2,1))]. 2610 f(f(x,f(x,x)),f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))))) = f(x,x). [para(92(a,1),68(a,1,2,2,1)),rewrite(88(8),48(6),837(16),88(7),48(5),88(21),48(19),48(33),296(42),22(32),88(8),48(6)),flip(a)]. 4042 f(f(x,f(x,x)),f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))) = f(x,x). [para(1052(a,1),1420(a,1,1,1)),rewrite(1052(7),1052(7),1052(9),1052(9),1052(17),1052(17))]. 4109 f(f(f(f(x,y),f(f(f(f(f(f(x,x),x),y),y),f(x,x)),f(f(x,x),z))),f(x,f(x,x))),x) = f(x,f(x,x)). [para(564(a,1),121(a,1,2,2,2)),rewrite(82(3),82(22),57(25),22(22))]. 4211 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(x,f(x,f(f(x,x),z)))))) = f(x,x). [para(1028(a,1),122(a,1,1,2)),rewrite(103(15),1028(5),1028(6),82(3),1028(8),1028(17))]. 4246 f(f(f(f(x,x),f(f(x,x),f(f(x,x),f(y,x)))),f(x,f(x,x))),f(f(f(f(x,f(x,x)),f(x,f(x,x))),x),f(f(f(x,x),f(x,f(x,x))),f(f(x,f(x,x)),z)))) = f(x,f(x,x)). [para(4042(a,1),86(a,1,2,1,2,1)),rewrite(4042(26),82(18),4042(26))]. 4654 f(f(x,y),f(f(f(f(y,x),f(f(y,y),y)),f(f(y,y),y)),y)) = y. [para(88(a,1),2576(a,1,2))]. 4731 f(f(f(x,x),x),f(f(f(f(f(x,x),x),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(48(a,1),4654(a,1,2,1,1)),rewrite(260(6))]. 4735 f(f(f(x,x),f(x,y)),f(f(f(x,f(f(f(x,y),f(x,y)),f(x,y))),f(f(f(x,y),f(x,y)),f(x,y))),f(x,y))) = f(x,y). [para(82(a,1),4654(a,1,2,1,1,1))]. 4739 f(f(f(f(x,y),f(x,y)),x),f(f(f(f(x,y),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(97(a,1),4654(a,1,2,1,1,1))]. 4922 f(f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))),f(x,x)) = x. [para(4731(a,1),67(a,1,2,2,1)),rewrite(82(3),82(5),82(8),82(14),82(16),82(19),82(24),82(26),82(29),82(37),48(35),82(13),82(3),82(5),82(8)),flip(a)]. 4969 f(f(f(x,f(x,x)),f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x)))),x) = f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))). [para(4922(a,1),2537(a,1,2,2,2)),rewrite(48(22),4922(21))]. 5567 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),y)))))) = f(x,x). [para(82(a,1),4211(a,1,2,2,1,1))]. 5640 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(f(x,x),y))))),x) = f(x,x). [para(5567(a,1),88(a,1,2,1)),rewrite(5567(22),82(13),5567(22))]. 5691 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,f(y,f(x,x)))))),x) = f(x,x). [para(88(a,1),5640(a,1,1,2,2,2,2))]. 5714 f(f(f(f(x,f(x,x)),f(x,f(x,f(y,f(x,x))))),f(x,f(x,x))),f(f(f(f(x,f(x,x)),f(x,f(x,x))),x),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,x)))) = f(x,f(x,x)). [para(5691(a,1),9(a,1,2,2,1,1,1))]. 8394 f(f(x,x),f(x,y)) = x. [para(210(a,1),454(a,1,1)),rewrite(1349(16),82(13),48(11),82(3)),flip(a)]. 8395 f(x,f(f(x,x),y)) = f(x,x). [para(231(a,1),454(a,1,1)),rewrite(8394(10),8394(12),1330(14),22(10)),flip(a)]. 8396 f(f(x,x),f(y,x)) = x. [para(235(a,1),454(a,1,1)),rewrite(1392(16),8394(13),48(11),8394(3)),flip(a)]. 8397 f(x,f(y,f(x,x))) = f(x,x). [para(244(a,1),454(a,1,1)),rewrite(8394(10),8394(12),1359(14),22(10)),flip(a)]. 8398 f(f(f(x,y),f(x,y)),y) = f(x,y). [para(227(a,1),454(a,1,1)),rewrite(1413(26),8394(23),48(18),8394(7)),flip(a)]. 8400 f(f(f(x,y),f(x,y)),x) = f(x,y). [para(234(a,1),454(a,1,1)),rewrite(1420(26),8394(23),48(18),8394(7)),flip(a)]. 8402 f(f(x,y),f(f(f(f(f(f(x,x),x),y),y),f(x,x)),f(f(x,x),z))) = x. [para(38(a,1),454(a,1,2,2,1)),rewrite(8394(40),48(38),82(14)),flip(a)]. 8436 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u)))) = x. [para(296(a,1),454(a,1,1)),rewrite(8400(26),2610(26),8394(15),57(13),8394(3)),flip(a)]. 8440 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(y,u)))) = y. [para(100(a,1),454(a,2)),rewrite(8398(4),8398(16),8398(27),8398(43),8398(55),454(55))]. 8483 f(f(x,y),f(f(f(f(x,y),f(f(x,x),x)),f(f(x,x),x)),x)) = x. [para(4739(a,1),454(a,2)),rewrite(8400(4),8400(15),8400(25),8400(40),8400(51),454(51))]. 8486 f(x,f(f(f(f(y,x),f(y,x)),f(x,x)),f(f(x,f(y,x)),x))) = f(y,x). [para(521(a,1),454(a,2)),rewrite(8396(3),8396(14),8396(24),8396(39),8396(50),454(50))]. 8488 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [para(684(a,1),454(a,2)),rewrite(8398(4),8398(16),8398(27),8398(43),8398(55),454(55))]. 8534 f(x,f(f(f(x,f(f(f(x,y),f(x,y)),f(x,y))),f(f(f(x,y),f(x,y)),f(x,y))),f(x,y))) = f(x,y). [back_rewrite(4735),rewrite(8394(3))]. 8541 f(f(x,x),f(f(x,f(x,x)),f(x,f(f(x,f(x,x)),y)))) = f(x,f(x,x)). [back_rewrite(4246),rewrite(8396(5),8396(4),2498(3),8400(7),8394(7))]. 8589 f(x,f(f(y,x),f(f(f(f(x,x),x),f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(474),rewrite(8396(3),8394(6),8398(4),8394(5))]. 8616 f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,f(x,x))) = f(x,f(x,x)). [back_rewrite(4969),rewrite(8395(11),8400(6)),flip(a)]. 8681 f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(f(f(x,x),x),f(x,f(x,x))),f(x,x)))) = f(x,f(x,x)). [back_rewrite(5714),rewrite(8397(5),8616(8),8400(8))]. 8888 f(f(x,x),x) = f(x,f(x,x)). [back_rewrite(4109),rewrite(8402(11),8397(3))]. 9157 f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(8681),rewrite(8888(6),8398(11))]. 9187 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(8589),rewrite(8888(3))]. 9203 f(x,f(f(f(x,f(f(x,y),f(f(x,y),f(x,y)))),f(f(x,y),f(f(x,y),f(x,y)))),f(x,y))) = f(x,y). [back_rewrite(8534),rewrite(8888(5),8888(11))]. 9216 f(f(x,y),f(f(f(f(x,y),f(x,f(x,x))),f(x,f(x,x))),x)) = x. [back_rewrite(8483),rewrite(8888(4),8888(7))]. 9535 f(f(f(x,y),f(x,y)),f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y))))) = f(x,y). [back_rewrite(1794),rewrite(8888(8),8888(13))]. 9628 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,x)) = x. [back_rewrite(285),rewrite(8888(2),8888(4))]. 9638 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y))),f(x,x)) = x. [back_rewrite(201),rewrite(8888(2),8888(4))]. 9978 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(f(f(x,x),u),f(f(f(f(f(v,x),u),u),x),f(x,w)))))) = x. [para(107(a,1),8398(a,1,1,1)),rewrite(107(19),107(38))]. 10047 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,x)),f(f(y,x),f(f(f(f(x,y),y),f(y,x)),f(f(y,x),u)))) = f(y,x). [para(8400(a,1),113(a,1,2,1))]. 10604 f(x,f(f(f(f(x,y),f(x,y)),f(x,x)),f(f(x,f(x,y)),x))) = f(x,y). [para(8400(a,1),8486(a,1,2,1,1,1)),rewrite(8400(5),8400(9),8400(14))]. 11076 f(x,f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(8397(a,1),9187(a,1,2,2)),rewrite(88(11))]. 11140 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),x)) = x. [para(8394(a,1),11076(a,1,2,2)),rewrite(8394(11))]. 11142 f(x,f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(8400(a,1),11076(a,1,2,2)),rewrite(8400(9))]. 11170 f(f(x,x),f(f(x,f(x,x)),f(y,x))) = f(x,f(x,x)). [para(11076(a,1),8541(a,1,2,2))]. 11226 f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,f(x,x)),y))) = f(f(x,f(x,x)),y). [para(9157(a,1),11142(a,1,2,1))]. 11328 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(9628(a,1),11140(a,1,1)),rewrite(9628(9),9628(9),9628(9),11226(10),11076(5)),flip(a)]. 11329 f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(9638(a,1),11140(a,1,1)),rewrite(9638(9),9638(9),9638(9),11226(10),11142(5)),flip(a)]. 11482 f(f(f(x,y),f(x,y)),f(f(f(x,y),f(f(x,y),f(x,y))),x)) = f(f(x,y),f(f(x,y),f(x,y))). [para(8394(a,1),11170(a,1,2,2))]. 11485 f(f(f(x,y),f(x,y)),f(f(f(x,y),f(f(x,y),f(x,y))),y)) = f(f(x,y),f(f(x,y),f(x,y))). [para(8396(a,1),11170(a,1,2,2))]. 11613 f(f(x,f(x,x)),f(f(y,x),f(y,x))) = f(y,x). [para(11328(a,1),97(a,1,2,1)),rewrite(11328(10),11328(13))]. 11617 f(f(x,f(x,x)),f(y,x)) = f(f(y,x),f(y,x)). [para(11328(a,1),47(a,1,1)),rewrite(11329(24),11328(23),8397(21)),flip(a)]. 11660 f(f(f(x,y),f(x,y)),f(y,f(y,y))) = f(x,y). [para(11328(a,1),8400(a,1,1,1)),rewrite(11328(8),11328(13))]. 11710 f(f(f(x,y),f(f(x,y),f(x,y))),f(y,y)) = y. [para(8396(a,1),11613(a,1,2,1)),rewrite(8396(8),8396(10))]. 11713 f(f(x,f(x,x)),f(f(x,y),f(x,y))) = f(x,y). [para(8400(a,1),11613(a,1,2,1)),rewrite(8400(7),8400(10))]. 12000 f(f(f(x,y),f(f(x,y),f(x,y))),x) = f(x,x). [para(8394(a,1),11617(a,1,2)),rewrite(8394(9),8394(9))]. 12003 f(f(f(x,y),f(f(x,y),f(x,y))),y) = f(y,y). [para(8396(a,1),11617(a,1,2)),rewrite(8396(9),8396(9))]. 12007 f(f(x,y),f(f(y,f(y,y)),f(x,y))) = f(f(x,y),f(f(x,y),f(x,y))). [para(11617(a,2),8888(a,2,2)),rewrite(8888(5)),flip(a)]. 12125 f(f(f(x,y),f(f(y,f(y,y)),f(x,y))),f(f(f(x,y),f(f(x,y),f(x,y))),f(z,f(x,y)))) = f(z,f(x,y)). [para(11617(a,2),11328(a,1,1,2))]. 12140 f(f(f(x,y),f(x,y)),f(x,x)) = f(f(x,y),f(f(x,y),f(x,y))). [back_rewrite(11482),rewrite(12000(9))]. 12145 f(f(f(x,y),f(x,y)),f(y,y)) = f(f(x,y),f(f(x,y),f(x,y))). [back_rewrite(11485),rewrite(12003(9))]. 12226 f(x,f(f(f(x,y),f(f(x,y),f(x,y))),f(f(x,f(x,y)),x))) = f(x,y). [back_rewrite(10604),rewrite(12140(5))]. 12507 f(f(x,x),f(f(x,y),f(f(x,y),f(x,y)))) = x. [para(8394(a,1),11660(a,1,1,1)),rewrite(8394(3),8394(10))]. 12510 f(x,f(f(y,f(x,x)),f(f(y,f(x,x)),f(y,f(x,x))))) = f(x,x). [para(8397(a,1),11660(a,1,1,1)),rewrite(8397(4),8394(3),8397(12))]. 12614 f(x,f(f(f(y,x),f(f(y,x),f(y,x))),f(f(y,x),f(f(y,x),f(y,x))))) = f(f(y,x),f(f(y,x),f(y,x))). [para(11710(a,1),82(a,1,1))]. 12618 f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(x,y),f(f(x,y),f(x,y))),f(f(f(y,f(y,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y))))) = f(x,y). [para(11710(a,1),215(a,1,2,2,1,1,1)),rewrite(8888(5),12145(10))]. 12633 f(f(x,y),f(f(x,f(x,x)),f(x,f(x,x)))) = f(x,f(x,x)). [para(11713(a,1),82(a,1,1))]. 12712 f(x,f(f(x,y),f(f(x,y),f(x,y)))) = f(x,x). [para(12000(a,1),8400(a,1,1,1)),rewrite(12000(7),8394(3),12000(12))]. 12715 f(f(x,y),f(f(x,y),f(x,y))) = f(x,f(x,x)). [para(12000(a,1),9216(a,1,1)),rewrite(12000(7),12633(19),12507(8),12633(18),12712(7),12507(8),8888(2)),flip(a)]. 12722 f(f(x,f(x,x)),y) = f(y,y). [para(11076(a,1),12000(a,1,1,1)),rewrite(11076(6),11076(7),12715(5))]. 12782 f(x,f(x,f(x,y))) = f(x,y). [back_rewrite(9203),rewrite(12715(5),8397(3),12715(6),8394(4))]. 12809 f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(f(y,f(y,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y))))) = f(x,y). [back_rewrite(12618),rewrite(12715(5),12715(7))]. 12813 f(x,f(f(y,f(y,y)),f(y,f(y,y)))) = f(y,f(y,y)). [back_rewrite(12614),rewrite(12715(5),12715(7),12715(11))]. 12833 f(x,f(y,f(y,y))) = f(x,x). [back_rewrite(12510),rewrite(12715(8))]. 12960 f(f(x,f(x,y)),x) = f(x,y). [back_rewrite(12226),rewrite(12715(5),11076(7))]. 13010 f(f(f(x,y),f(f(y,f(y,y)),f(x,y))),f(f(x,f(x,x)),f(z,f(x,y)))) = f(z,f(x,y)). [back_rewrite(12125),rewrite(12715(11))]. 13031 f(f(x,y),f(f(y,f(y,y)),f(x,y))) = f(x,f(x,x)). [back_rewrite(12007),rewrite(12715(11))]. 13140 f(f(f(x,y),f(x,y)),f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y))))) = f(x,y). [back_rewrite(9535),rewrite(12715(8),12715(10))]. 13429 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,z)))) = f(y,f(x,z)). [back_rewrite(13010),rewrite(13031(6))]. 13558 f(f(x,y),f(f(z,f(z,z)),y)) = y. [para(12722(a,2),22(a,1,2))]. 13573 f(x,f(f(y,f(y,y)),f(x,z))) = f(x,z). [para(12722(a,2),97(a,1,2))]. 13607 f(f(f(x,f(x,x)),y),f(y,z)) = y. [para(12722(a,1),41(a,1,2,1,2)),rewrite(12813(10),12813(13),13573(12))]. 13821 f(f(f(x,f(x,x)),y),y) = f(y,f(y,y)). [para(12722(a,2),8888(a,1,1))]. 13920 f(x,f(f(y,x),f(f(f(f(x,y),y),f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(10047),rewrite(13607(8),57(4),8396(3))]. 13941 f(f(x,f(x,x)),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,u),z),z),x),f(f(f(x,x),v),f(f(f(f(f(w,x),v),v),x),f(x,v6)))))))) = x. [para(8888(a,1),344(a,1,1)),rewrite(13821(8))]. 13959 f(f(x,y),f(f(x,y),x)) = x. [para(82(a,1),12782(a,1,2,2)),rewrite(82(7))]. 13960 f(x,f(x,f(y,x))) = f(y,x). [para(88(a,1),12782(a,1,2,2)),rewrite(88(7))]. 13984 f(f(f(x,y),f(f(f(f(x,y),f(x,f(x,y))),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(12782(a,1),958(a,1,1,1)),rewrite(12782(4))]. 14078 f(f(x,y),f(x,f(z,f(z,z)))) = x. [para(12833(a,2),82(a,1,2))]. 14079 f(x,f(f(y,x),f(z,f(z,z)))) = f(y,x). [para(12833(a,2),88(a,1,2))]. 14091 f(x,f(f(x,y),f(z,f(z,z)))) = f(x,y). [para(12833(a,2),97(a,1,2))]. 14215 f(f(f(x,y),f(f(f(y,f(y,y)),f(x,f(z,f(z,z)))),f(f(x,x),u))),x) = f(x,f(z,f(z,z))). [para(12833(a,1),123(a,1,1,2,2,1)),rewrite(14078(7),13821(5),14078(18))]. 14301 f(f(f(x,y),f(z,f(z,z))),x) = f(x,y). [para(12833(a,2),8400(a,1,1))]. 14306 f(x,f(x,x)) = f(y,f(y,y)). [para(12833(a,1),9216(a,1,2)),rewrite(12813(14),12813(17),14301(12),12813(17),12813(20),14301(15),13558(10),13821(4))]. 14355 f(f(x,f(x,x)),f(y,f(x,f(x,x)))) = y. [para(12833(a,1),11617(a,1,1,2)),rewrite(12813(8),14078(13))]. 14361 f(f(x,f(x,x)),y) = f(y,f(z,f(z,z))). [para(12833(a,2),12722(a,2))]. 14371 f(x,f(x,x)) = c_0. [new_symbol(14306)]. 14403 f(c_0,x) = f(x,c_0). [back_rewrite(14361),rewrite(14371(2),14371(4))]. 14404 f(c_0,f(x,c_0)) = x. [back_rewrite(14355),rewrite(14371(2),14371(3))]. 14441 f(f(c_0,f(x,y)),x) = f(x,y). [back_rewrite(14301),rewrite(14371(3),14403(3,R))]. 14500 f(x,c_0) = f(x,x). [back_rewrite(14215),rewrite(14371(3),14371(4),14404(5),8395(4),82(3),14371(3)),flip(a)]. 14530 f(x,f(c_0,f(x,y))) = f(x,y). [back_rewrite(14091),rewrite(14371(3),14403(3,R))]. 14534 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(14079),rewrite(14371(3),14403(3,R))]. 14553 f(c_0,f(x,x)) = x. [back_rewrite(13941),rewrite(14371(2),14371(5),14403(5),14500(5),9978(22),57(4))]. 14621 f(c_0,f(c_0,f(x,f(y,z)))) = f(x,f(y,z)). [back_rewrite(13429),rewrite(14371(2),14371(3))]. 14711 f(f(c_0,f(x,y)),f(f(f(c_0,f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y))) = f(x,y). [back_rewrite(13140),rewrite(14500(3,R),14403(3,R),14371(5),14371(6),14500(8,R),14403(8,R),14621(17))]. 14874 f(c_0,f(c_0,f(x,y))) = f(x,y). [back_rewrite(12809),rewrite(14371(2),14371(3),14371(4),14500(8,R),14403(8,R),14711(16))]. 15158 f(f(x,x),x) = c_0. [back_rewrite(8888),rewrite(14371(4))]. 15492 f(f(f(x,y),c_0),x) = f(x,y). [back_rewrite(8400),rewrite(14500(3,R))]. 15585 f(c1,f(f(c2,c3),c_0)) != f(c2,f(f(c1,c3),c_0)) # answer(A_SS). [back_rewrite(4),rewrite(14500(8,R),14500(15,R))]. 15810 f(f(f(x,y),x),f(x,y)) = x. [para(82(a,1),12960(a,1,1,2)),rewrite(82(7))]. 15847 f(f(x,x),f(c_0,f(f(f(f(x,y),x),x),f(x,z)))) = x. [para(12960(a,1),8436(a,1,2,2,1,1,1)),rewrite(15158(3))]. 15848 f(f(x,f(x,y)),f(f(x,y),f(x,f(f(x,y),z)))) = f(x,y). [para(12960(a,1),8440(a,1,2,2,1,1,1)),rewrite(14500(5,R),15492(6),15810(7))]. 15858 f(f(x,y),x) = f(x,f(x,y)). [para(12782(a,1),12960(a,1,1))]. 15880 f(f(x,x),f(c_0,f(f(x,y),f(x,z)))) = x. [back_rewrite(15847),rewrite(15858(4),15858(5),12782(5))]. 16188 f(f(x,y),f(x,f(x,y))) = x. [back_rewrite(13959),rewrite(15858(3))]. 16266 f(f(f(x,y),f(c_0,f(z,f(x,x)))),x) = f(x,x). [back_rewrite(13984),rewrite(16188(5),14371(3))]. 16430 f(f(x,y),c_0) = f(c_0,f(x,y)). [para(14441(a,1),82(a,1,1)),rewrite(14500(8,R),15858(6),14874(6),14500(3,R))]. 16561 f(c1,f(c_0,f(c2,c3))) != f(c2,f(c_0,f(c1,c3))) # answer(A_SS). [back_rewrite(15585),rewrite(16430(6),16430(13))]. 17267 f(f(x,y),y) = f(y,f(x,y)). [para(3(a,1),15858(a,1,1)),rewrite(3(14)),flip(a)]. 17394 f(f(x,y),f(y,f(x,y))) = y. [para(15858(a,1),8488(a,1,2,2)),rewrite(15858(3),14371(3),17267(4),15858(5),13960(5),17267(5),15858(6),13960(6),17267(5),14530(8))]. 18647 f(x,f(f(y,x),f(f(f(y,f(x,y)),f(y,x)),f(f(y,x),z)))) = f(y,x). [back_rewrite(13920),rewrite(17267(3))]. 19010 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(x,z))). [para(15880(a,1),22(a,1,1)),rewrite(14500(11,R),15858(7),14874(7)),flip(a)]. 20062 f(f(f(f(x,x),y),f(c_0,f(z,x))),f(x,x)) = x. [para(22(a,1),16266(a,1,1,2,2,2)),rewrite(14500(11,R),16430(11),14553(11))]. 26783 f(f(x,y),f(x,f(f(x,y),z))) = f(c_0,f(x,f(f(x,y),z))). [para(82(a,1),19010(a,1,2,1)),rewrite(82(9)),flip(a)]. 26932 f(f(x,f(x,y)),f(f(x,y),f(x,z))) = f(x,y). [para(19010(a,2),15848(a,1,2,2)),rewrite(14530(9))]. 27256 f(f(x,f(y,x)),f(x,f(f(y,x),z))) = x. [para(22(a,1),26932(a,1,1,2)),rewrite(17267(2),22(5),22(9))]. 27357 f(f(x,f(y,x)),f(x,y)) = x. [para(82(a,1),27256(a,1,2,2))]. 27434 f(x,f(c_0,f(y,f(f(y,x),z)))) = f(y,x). [back_rewrite(18647),rewrite(27357(5),26783(5))]. 28082 f(x,y) = f(y,x). [para(82(a,1),27434(a,1,2,2,2)),rewrite(14553(3))]. 28086 f(x,f(c_0,f(y,f(z,f(y,x))))) = f(y,x). [para(27434(a,1),13960(a,2)),rewrite(28082(3),28082(8),28082(13),13960(18))]. 28173 f(f(x,f(y,y)),f(c_0,f(z,y))) = f(z,y). [para(20062(a,1),27434(a,1,2,2,2)),rewrite(28082(6),28082(7),8397(7),14553(6),28082(4),14534(4),28082(3)),flip(a)]. 29367 f(f(x,x),f(y,f(c_0,f(x,z)))) = x. [para(8394(a,1),28173(a,1,2,2)),rewrite(14500(3,R),28082(3),28082(6),14500(6),28082(6),8394(9))]. 29418 f(x,f(x,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(29367(a,1),17394(a,1,1)),rewrite(29367(10),28082(5))]. 29431 f(f(c_0,f(x,y)),f(c_0,f(x,z))) = f(z,f(c_0,f(x,y))). [para(29367(a,1),28086(a,1,2,2,2)),rewrite(28082(5))]. 36584 f(f(c_0,f(x,y)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(29431(a,1),28082(a,2))]. 36585 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(y,x))). [para(29431(a,2),28082(a,2)),rewrite(28082(4),36584(11))]. 37762 f(x,f(c_0,f(y,z))) = f(y,f(c_0,f(x,z))). [para(36585(a,1),12782(a,1,2,2)),rewrite(28082(2),29418(6),28082(6))]. 37763 $F # answer(A_SS). [resolve(37762,a,16561,a)]. ============================== end of proof ========================== % Disable descendants: 4x 15585x 16561 given #1273 (F,wt=15): 36586 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(x,y))). [para(28082(a,1),29431(a,1,1,2)),rewrite(36550(7),28082(6))]. given #1274 (T,wt=15): 36616 f(x,f(c_0,f(y,f(z,f(x,x))))) = f(y,x). [para(29431(a,2),28173(a,1)),rewrite(36584(9))]. given #1275 (T,wt=15): 37762 f(x,f(c_0,f(y,z))) = f(y,f(c_0,f(x,z))). [para(36585(a,1),12782(a,1,2,2)),rewrite(28082(2),29418(6),28082(6))]. given #1276 (A,wt=27): 25041 f(f(c_0,f(x,y)),f(f(z,f(y,f(u,f(x,y)))),f(v,f(y,f(u,f(x,y)))))) = c_0. [para(19129(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1277 (F,wt=17): 36546 f(f(x,x),f(c_0,f(y,f(x,z)))) = f(y,f(x,x)). [para(22(a,1),29431(a,1,1,2)),rewrite(28082(2),14500(2),28082(3),28082(4),28082(8),28082(10),8394(10),28082(8),14500(8))]. given #1278 (F,wt=17): 36547 f(f(x,x),f(c_0,f(y,f(z,x)))) = f(y,f(x,x)). [para(22(a,1),29431(a,2,2,2)),rewrite(22(4),28082(2),14500(2),28082(4),28082(8),14500(8))]. given #1279 (T,wt=17): 37452 f(x,f(c_0,f(y,f(c_0,f(f(y,x),f(z,u)))))) = c_0. [back_rewrite(29247),rewrite(36952(9))]. given #1280 (T,wt=17): 38004 f(f(x,y),f(x,f(c_0,f(z,y)))) = f(c_0,f(x,y)). [para(36586(a,1),22(a,1,1)),rewrite(28082(6),28082(9),14500(11,R),28082(9),14874(9),28082(6),28082(8))]. given #1281 (A,wt=27): 25043 f(f(c_0,f(x,y)),f(f(z,f(x,f(u,f(x,y)))),f(v,f(x,f(u,f(x,y)))))) = c_0. [para(19132(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1282 (F,wt=17): 38026 f(x,f(c_0,f(y,f(f(x,x),f(z,u))))) = f(x,y). [para(29203(a,1),36586(a,2,2,2)),rewrite(28082(5),14553(10),28082(8))]. given #1283 (F,wt=17): 38964 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(z,u)))))) = c_0. [para(37452(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(4)),flip(a)]. given #1284 (T,wt=19): 29507 f(f(x,y),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [para(28174(a,1),16188(a,1,1)),rewrite(28174(9),28082(5))]. given #1285 (T,wt=19): 29508 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(x,y))))) = f(x,y). [para(15611(a,1),28174(a,1,2,2)),rewrite(14500(5,R),28082(4),28082(9),15611(15))]. given #1286 (A,wt=31): 25045 f(x,f(f(y,f(f(z,f(x,x)),f(u,f(x,x)))),f(v,f(f(z,f(x,x)),f(u,f(x,x)))))) = c_0. [para(19146(a,1),21077(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #1287 (F,wt=19): 29514 f(f(x,f(c_0,f(y,f(z,z)))),f(c_0,f(z,u))) = f(z,u). [para(28173(a,1),28174(a,1,2,2)),rewrite(14500(5,R),28082(4),28082(7),28082(13),28174(15))]. given #1288 (F,wt=19): 29528 f(f(x,f(c_0,f(y,z))),f(z,f(x,f(c_0,f(y,z))))) = z. [para(29506(a,1),29297(a,1,2,2)),rewrite(28082(9),29506(16))]. given #1289 (T,wt=19): 29554 f(f(x,f(y,y)),f(f(y,z),f(x,f(y,y)))) = f(y,z). [para(28216(a,1),29297(a,1,2,2)),rewrite(28082(10),29507(10),28082(7),28216(12))]. given #1290 (T,wt=19): 29575 f(f(x,y),f(x,f(z,f(x,f(u,f(u,f(x,y))))))) = x. [para(28424(a,1),28196(a,1,2,1)),rewrite(28082(6),28424(14))]. given #1291 (A,wt=27): 25062 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(u,f(x,x)))),f(v,f(c_0,f(u,f(x,x)))))) = c_0. [para(20246(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1292 (F,wt=19): 29638 f(f(x,y),f(y,f(z,f(y,f(u,f(u,f(x,y))))))) = y. [para(28425(a,1),28196(a,1,2,1)),rewrite(28082(6),28425(14))]. given #1293 (F,wt=19): 29664 f(f(x,y),f(x,f(z,f(x,f(u,f(c_0,f(x,y))))))) = x. [para(28829(a,1),28196(a,1,2,1)),rewrite(28082(7),28829(16))]. given #1294 (T,wt=19): 29717 f(f(x,f(y,f(x,z))),f(x,f(y,f(y,f(x,z))))) = x. [para(29200(a,1),28424(a,1,2,2,2)),rewrite(28082(1),28082(4))]. given #1295 (T,wt=19): 29723 f(x,f(f(y,f(z,z)),f(x,f(z,u)))) = f(x,f(z,u)). [para(28173(a,1),29204(a,1,2,2,2)),rewrite(28082(3),28082(10),28174(12))]. given #1296 (A,wt=31): 25071 f(x,f(f(y,f(c_0,f(z,f(c_0,f(u,f(x,x)))))),f(v,f(c_0,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [para(20296(a,1),21077(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #1297 (F,wt=19): 29735 f(c_0,f(x,f(f(y,x),f(x,z)))) = f(f(y,x),f(x,z)). [para(19297(a,2),15587(a,1,1)),rewrite(29508(13)),flip(a)]. given #1298 (F,wt=19): 29788 f(x,f(y,f(c_0,f(z,f(c_0,f(u,f(x,x))))))) = f(x,x). [para(29368(a,1),28173(a,1,2,2)),rewrite(14500(11,R),28082(7),14553(11),28082(9),29368(15))]. given #1299 (T,wt=19): 29792 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(29368(a,1),28982(a,1,1,2,2)),rewrite(28082(8),29368(15),14553(11),28082(9))]. given #1300 (T,wt=19): 29796 f(x,f(y,f(f(z,f(x,x)),f(u,f(x,x))))) = f(x,x). [para(22(a,1),29375(a,1,1)),rewrite(28082(2),28082(4))]. given #1301 (A,wt=29): 25073 f(f(x,x),f(f(y,f(c_0,f(z,f(c_0,f(x,u))))),f(v,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(20298(a,1),21077(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #1302 (F,wt=19): 29797 f(f(x,f(y,f(z,f(u,y)))),f(c_0,f(u,y))) = f(u,y). [para(22(a,1),29375(a,1,2,2,1)),rewrite(14500(3,R),28082(3),28082(5),28082(8))]. given #1303 (F,wt=19): 29816 f(f(x,x),f(y,f(c_0,f(z,f(f(x,u),f(x,v)))))) = x. [para(29375(a,1),28173(a,1,2,2)),rewrite(14500(9,R),28082(6),28082(9),14500(9),28082(9),29375(15))]. given #1304 (T,wt=19): 29823 f(f(x,x),f(f(x,y),f(z,f(f(x,u),f(x,v))))) = c_0. [para(29375(a,1),28982(a,1,1,2,2)),rewrite(28082(5),28082(6),29375(13),28082(8),14500(8),28082(8))]. given #1305 (T,wt=19): 29825 f(x,f(f(x,y),f(z,f(f(y,u),f(y,v))))) = f(x,y). [para(29375(a,1),29200(a,1,2,2,2)),rewrite(28082(6),29375(13))]. given #1306 (A,wt=27): 25074 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(u,f(y,y)))),f(v,f(c_0,f(u,f(y,y)))))) = c_0. [para(20299(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1307 (F,wt=19): 29850 f(f(x,f(y,f(z,u))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(15611(a,1),29421(a,1,2,2,2,2))]. given #1308 (F,wt=19): 29854 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(c_0,f(y,u))))))) = c_0. [para(29421(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #1309 (T,wt=19): 29867 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(28173(a,1),29421(a,1,2,2,2,2)),rewrite(28082(6))]. given #1310 (T,wt=19): 29881 f(f(x,f(y,f(z,u))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(15611(a,1),29424(a,1,2,2,2,2))]. given #1311 (A,wt=25): 25076 f(f(c_0,f(x,f(y,y))),f(f(z,f(c_0,f(y,u))),f(v,f(c_0,f(y,u))))) = c_0. [para(20304(a,1),21077(a,1,1,2,2)),rewrite(15858(7),14874(7))]. given #1312 (F,wt=19): 29888 f(f(x,y),f(x,f(z,f(x,f(x,f(c_0,f(y,u))))))) = x. [para(29424(a,1),28196(a,1,2,1)),rewrite(28082(7),29424(16))]. given #1313 (F,wt=19): 29902 f(f(x,f(y,f(z,z))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(28173(a,1),29424(a,1,2,2,2,2)),rewrite(28082(5))]. given #1314 (T,wt=19): 29952 f(f(x,f(x,f(y,z))),f(x,f(u,f(c_0,f(y,z))))) = x. [para(15587(a,1),29526(a,1,2,2,2,2)),rewrite(14874(10),28082(9))]. given #1315 (T,wt=19): 29962 f(f(x,f(x,f(y,y))),f(x,f(z,f(c_0,f(y,u))))) = x. [para(29367(a,1),29526(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(9))]. given #1316 (A,wt=23): 25078 f(f(c_0,f(x,f(c_0,f(y,z)))),f(f(u,f(y,y)),f(v,f(y,y)))) = c_0. [para(20327(a,1),21077(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #1317 (F,wt=19): 29963 f(f(x,f(x,f(y,y))),f(x,f(z,f(c_0,f(u,y))))) = x. [para(29506(a,1),29526(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(9))]. given #1318 (F,wt=19): 29966 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = x. [para(29368(a,1),29526(a,1,2,2,2,2)),rewrite(14553(9),28082(9))]. given #1319 (T,wt=19): 29973 f(f(x,y),f(y,f(z,f(y,f(u,f(c_0,f(x,y))))))) = y. [para(29544(a,1),28196(a,1,2,1)),rewrite(28082(7),29544(16))]. given #1320 (T,wt=19): 29983 f(x,f(x,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(29544(a,1),29304(a,1,2,2)),rewrite(29528(10),28082(5))]. given #1321 (A,wt=23): 25080 f(f(c_0,f(x,f(c_0,f(y,z)))),f(f(u,f(z,z)),f(v,f(z,z)))) = c_0. [para(20359(a,1),21077(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #1322 (F,wt=19): 29998 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,x)))))) = f(x,y). [para(20439(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #1323 (F,wt=19): 30005 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,u)))))) = f(x,y). [para(21214(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #1324 (T,wt=19): 30025 f(x,f(f(x,y),f(z,f(z,f(u,f(x,x)))))) = f(x,y). [para(28146(a,1),29564(a,1,2,2,2)),rewrite(28082(9),14874(9))]. given #1325 (T,wt=19): 30087 f(f(x,f(y,y)),f(f(z,y),f(x,f(y,y)))) = f(z,y). [para(29659(a,1),29297(a,1,2,2)),rewrite(28082(10),29371(10),28082(7),29659(12))]. given #1326 (A,wt=27): 25089 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(u,f(x,u)))),f(v,f(c_0,f(u,f(x,u)))))) = c_0. [para(20822(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1327 (F,wt=19): 30110 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,u)))) = c_0. [para(15611(a,1),29846(a,1,2,2,2))]. given #1328 (F,wt=19): 30114 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(x,f(z,z)))))) = c_0. [para(29846(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1329 (T,wt=19): 30119 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(u,f(y,z)))))) = c_0. [para(28084(a,1),29846(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #1330 (T,wt=19): 30121 f(f(x,f(y,z)),f(c_0,f(x,f(y,f(u,f(y,z)))))) = c_0. [para(28086(a,1),29846(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #1331 (A,wt=27): 25096 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(u,f(y,u)))),f(v,f(c_0,f(u,f(y,u)))))) = c_0. [para(20919(a,1),21077(a,1,1,2,2)),rewrite(15858(6),14874(6))]. given #1332 (F,wt=19): 30123 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(29367(a,1),29846(a,1,1,2)),rewrite(14500(11,R),28082(8))]. given #1333 (F,wt=19): 30130 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(x,f(y,y)))))) = c_0. [para(29849(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1334 (T,wt=19): 30133 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(u,f(z,z)))))) = c_0. [para(28173(a,1),29849(a,1,1,2)),rewrite(14500(8,R),28082(7))]. given #1335 (T,wt=19): 30134 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(u,f(y,y)))))) = c_0. [para(28174(a,1),29849(a,1,1,2)),rewrite(14500(8,R),28082(7))]. given #1336 (A,wt=31): 25122 f(x,f(f(y,f(c_0,f(z,f(c_0,f(u,f(x,u)))))),f(v,f(c_0,f(z,f(c_0,f(u,f(x,u)))))))) = c_0. [para(21807(a,1),21077(a,1,1,2,2)),rewrite(14500(3),14553(3))]. given #1337 (F,wt=19): 30151 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(c_0,f(x,u))))))) = c_0. [para(29858(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #1338 (F,wt=19): 30183 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(29868(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(7),28082(10),14874(10))]. given #1339 (T,wt=17): 42565 f(f(x,x),f(f(y,x),f(z,f(c_0,f(x,u))))) = c_0. [para(29935(a,1),30183(a,1,2,2)),rewrite(14500(4,R),28082(4),28082(8),14500(8),28082(8))]. given #1340 (T,wt=19): 30205 f(f(x,f(y,z)),f(x,f(u,f(x,f(x,f(z,z)))))) = x. [para(29877(a,1),28196(a,1,2,1)),rewrite(28082(6),29877(14))]. given #1341 (A,wt=33): 25139 f(f(x,x),f(f(y,f(c_0,f(z,f(f(x,u),f(x,v))))),f(w,f(c_0,f(z,f(f(x,u),f(x,v))))))) = c_0. [para(20307(a,1),21077(a,1,1,2,2)),rewrite(16430(4),14553(4),15175(2))]. given #1342 (F,wt=19): 30207 f(f(x,f(y,z)),f(x,f(x,f(z,f(u,f(y,z)))))) = x. [para(28084(a,1),29877(a,1,1,2)),rewrite(14500(13,R),28082(9),14874(9))]. given #1343 (F,wt=19): 30209 f(f(x,f(y,z)),f(x,f(x,f(y,f(u,f(y,z)))))) = x. [para(28086(a,1),29877(a,1,1,2)),rewrite(14500(13,R),28082(9),14874(9))]. given #1344 (T,wt=19): 30212 f(f(x,y),f(x,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = x. [para(29367(a,1),29877(a,1,1,2)),rewrite(14500(10,R),28082(7))]. given #1345 (T,wt=19): 30221 f(f(x,f(x,f(y,y))),f(x,f(z,f(x,f(y,u))))) = x. [para(29880(a,1),28196(a,1,2,1)),rewrite(28082(6),29880(14))]. given #1346 (A,wt=25): 25147 f(f(c_0,f(x,f(f(y,z),f(y,u)))),f(f(v,f(y,y)),f(w,f(y,y)))) = c_0. [para(20446(a,1),21077(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #1347 (F,wt=19): 30224 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(u,f(y,y)))))) = x. [para(28173(a,1),29880(a,1,2,2)),rewrite(14500(5,R),28082(4),28082(7),28082(9))]. given #1348 (F,wt=19): 30226 f(x,f(c_0,f(f(x,f(y,x)),f(z,f(y,x))))) = f(y,x). [para(19213(a,1),29880(a,1,2)),rewrite(14500(7,R),28082(6),29162(7),17394(4))]. given #1349 (T,wt=19): 30227 f(f(x,f(y,z)),f(f(x,f(y,y)),f(y,z))) = f(y,z). [para(29880(a,1),28425(a,1,2,2,2)),rewrite(28082(7),12782(7),28082(6))]. given #1350 (T,wt=15): 43453 f(f(x,y),f(y,f(x,f(c_0,f(z,y))))) = y. [para(22(a,1),30227(a,1,2,2)),rewrite(22(3),14500(4,R),28082(4),28082(6),22(10))]. given #1351 (A,wt=25): 25148 f(f(c_0,f(x,f(f(y,z),f(z,u)))),f(f(v,f(z,z)),f(w,f(z,z)))) = c_0. [para(20453(a,1),21077(a,1,1,2,2)),rewrite(15858(9),14874(9))]. given #1352 (F,wt=19): 30248 f(f(x,y),f(y,f(z,f(y,f(y,f(c_0,f(x,u))))))) = y. [para(29886(a,1),28196(a,1,2,1)),rewrite(28082(7),29886(16))]. given #1353 (F,wt=19): 30289 f(f(x,x),f(y,f(c_0,f(z,f(f(u,x),f(x,v)))))) = x. [para(29935(a,1),28173(a,1,2,2)),rewrite(14500(9,R),28082(6),28082(9),14500(9),28082(9),29935(15))]. given #1354 (T,wt=19): 30296 f(f(x,x),f(f(x,y),f(z,f(f(u,x),f(x,v))))) = c_0. [para(29935(a,1),28982(a,1,1,2,2)),rewrite(28082(5),28082(6),29935(13),28082(8),14500(8),28082(8))]. given #1355 (T,wt=19): 30299 f(x,f(f(x,y),f(z,f(f(u,y),f(y,v))))) = f(x,y). [para(29935(a,1),29200(a,1,2,2,2)),rewrite(28082(6),29935(13))]. given #1356 (A,wt=29): 25156 f(f(f(x,y),f(x,z)),f(f(u,f(c_0,f(v,f(x,x)))),f(w,f(c_0,f(v,f(x,x)))))) = c_0. [para(20544(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. given #1357 (F,wt=19): 30323 f(f(x,f(x,y)),f(x,f(z,f(x,f(u,f(y,y)))))) = x. [para(29950(a,1),28196(a,1,2,1)),rewrite(28082(6),29950(14))]. given #1358 (F,wt=19): 30330 f(f(x,f(x,y)),f(x,f(z,f(y,f(u,f(x,y)))))) = x. [para(28084(a,1),29950(a,1,1,2)),rewrite(14500(13,R),28082(9),14874(9))]. given #1359 (T,wt=19): 30403 f(f(x,f(y,f(z,f(u,f(x,z))))),f(c_0,f(x,z))) = c_0. [para(28084(a,1),30108(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7))]. given #1360 (T,wt=19): 30439 f(x,f(c_0,f(f(x,f(y,y)),f(y,f(y,f(x,x)))))) = c_0. [para(30222(a,1),17567(a,1,2,2,2)),rewrite(28082(7))]. given #1361 (A,wt=29): 25157 f(f(f(x,y),f(y,z)),f(f(u,f(c_0,f(v,f(y,y)))),f(w,f(c_0,f(v,f(y,y)))))) = c_0. [para(20549(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. given #1362 (F,wt=19): 30478 f(f(x,f(y,z)),f(x,f(u,f(x,f(x,f(y,y)))))) = x. [para(30241(a,1),28196(a,1,2,1)),rewrite(28082(6),28082(14),29880(14))]. given #1363 (F,wt=19): 30479 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(u,f(z,z)))))) = x. [para(28173(a,1),30241(a,1,1,2)),rewrite(14500(7,R),28082(6))]. given #1364 (T,wt=19): 30579 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,f(z,u))))) = y. [para(29200(a,1),28114(a,1,2,2,1)),rewrite(28082(7))]. given #1365 (T,wt=19): 30604 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(x,x)))) = c_0. [para(28123(a,1),19022(a,1,2,2)),rewrite(14500(3,R),28082(3),28082(5))]. given #1366 (A,wt=29): 25160 f(f(c_0,f(x,f(y,y))),f(f(z,f(f(y,u),f(y,v))),f(w,f(f(y,u),f(y,v))))) = c_0. [para(20636(a,1),21077(a,1,1,2,2)),rewrite(15858(7),14874(7))]. Low Water (keep): wt=59, part=0.99, limit=57 Low Water (keep): wt=57, part=0.99, limit=57 given #1367 (F,wt=19): 30615 f(x,f(f(x,f(y,z)),f(u,f(y,y)))) = f(x,f(y,z)). [para(28123(a,1),28196(a,1,2,2))]. given #1368 (F,wt=19): 30625 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(x,x))))) = f(x,y). [para(28123(a,1),29367(a,1,2,2,2)),rewrite(14500(3,R),28082(3))]. given #1369 (T,wt=19): 30634 f(f(x,f(y,z)),f(f(y,z),f(x,f(y,y)))) = f(y,z). [para(28123(a,1),29424(a,1,2,2)),rewrite(28082(2))]. given #1370 (T,wt=19): 30764 f(f(x,f(y,f(x,f(z,f(x,u))))),f(c_0,f(x,u))) = c_0. [para(27606(a,1),29217(a,1,1,2,2)),rewrite(28082(4),12782(4),27606(9),28082(7),28082(9))]. given #1371 (A,wt=29): 25169 f(f(f(x,y),f(x,z)),f(f(u,f(c_0,f(v,f(x,v)))),f(w,f(c_0,f(v,f(x,v)))))) = c_0. [para(21058(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. Low Water (keep): wt=55, part=0.99, limit=55 given #1372 (F,wt=19): 30781 f(f(x,f(y,f(x,f(z,u)))),f(c_0,f(x,f(z,z)))) = c_0. [para(29880(a,1),29217(a,1,1,2,2)),rewrite(28082(5),12782(5),29880(10),28082(7),28082(9))]. given #1373 (F,wt=19): 30784 f(f(x,f(y,f(x,f(z,f(u,u))))),f(c_0,f(x,u))) = c_0. [para(29950(a,1),29217(a,1,1,2,2)),rewrite(28082(4),12782(4),29950(9),28082(7),28082(9))]. given #1374 (T,wt=19): 30797 f(f(c_0,f(f(x,x),f(y,z))),f(f(x,u),f(x,v))) = c_0. [para(29223(a,1),29228(a,1,1,2,2)),rewrite(28082(8),14874(8))]. given #1375 (T,wt=19): 30910 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,y),f(u,v)))) = c_0. [para(19297(a,2),29248(a,1,1,2)),rewrite(14874(7))]. given #1376 (A,wt=29): 25171 f(f(f(x,y),f(y,z)),f(f(u,f(c_0,f(v,f(y,v)))),f(w,f(c_0,f(v,f(y,v)))))) = c_0. [para(21067(a,1),21077(a,1,1,2,2)),rewrite(16430(6),14874(7))]. Low Water (keep): wt=53, part=0.97, limit=53 given #1377 (F,wt=19): 30979 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(x,y)))) = c_0. [para(29366(a,1),19022(a,1,2,1)),rewrite(14500(3,R),28082(3),28082(7))]. given #1378 (F,wt=19): 30980 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(y,y)))) = c_0. [para(29366(a,1),19022(a,1,2,2)),rewrite(14500(3,R),28082(3),28082(5))]. given #1379 (T,wt=19): 30992 f(x,f(f(x,f(y,z)),f(u,f(z,z)))) = f(x,f(y,z)). [para(29366(a,1),28196(a,1,2,2))]. given #1380 (T,wt=19): 30998 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(y,y))))) = f(x,y). [para(29366(a,1),29367(a,1,2,2,2)),rewrite(14500(3,R),28082(3))]. given #1381 (A,wt=25): 25924 f(f(f(x,f(y,y)),f(z,f(y,y))),f(c_0,f(u,f(f(y,v),f(y,w))))) = c_0. [para(20446(a,1),21617(a,1,2,2,2)),rewrite(15858(14),14874(14))]. given #1382 (F,wt=19): 31011 f(f(x,f(y,z)),f(f(y,z),f(x,f(z,z)))) = f(y,z). [para(29366(a,1),29424(a,1,2,2)),rewrite(28082(2))]. given #1383 (F,wt=19): 31013 f(f(x,f(y,f(z,z))),f(x,f(x,f(c_0,f(u,z))))) = x. [para(29366(a,1),29880(a,1,2,2)),rewrite(14500(3,R),28082(3),28082(9))]. Low Water (keep): wt=51, part=0.96, limit=51 given #1384 (T,wt=19): 31113 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,x))))))) = c_0. [para(29534(a,1),14623(a,1,2,2)),rewrite(28082(11),14500(11),28082(11))]. given #1385 (T,wt=19): 31121 f(f(x,y),f(x,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = x. [para(29534(a,1),27606(a,1,2,2)),rewrite(28082(10))]. given #1386 (A,wt=23): 26789 f(x,f(c_0,f(f(x,y),f(x,z)))) = f(x,f(x,f(f(x,y),f(x,z)))). [para(19010(a,2),15858(a,1,1)),rewrite(19027(6))]. given #1387 (F,wt=19): 31180 f(f(f(x,y),f(x,z)),f(f(x,y),f(y,u))) = f(x,y). [para(28196(a,1),31166(a,1,2,2)),rewrite(28082(6),28082(7),28196(11))]. Low Water (keep): wt=49, part=0.94, limit=49 given #1388 (F,wt=19): 31181 f(f(x,f(y,f(x,z))),f(x,f(u,f(x,f(x,z))))) = x. [para(27606(a,1),31166(a,1,2,2)),rewrite(28082(6),28082(7),27606(14))]. given #1389 (T,wt=19): 31182 f(f(x,f(y,f(x,f(x,z)))),f(x,f(u,f(x,z)))) = x. [para(27673(a,1),31166(a,1,2,2)),rewrite(28082(6),28082(7),27673(14))]. given #1390 (T,wt=19): 31184 f(f(x,f(y,f(y,f(x,z)))),f(x,f(u,f(x,z)))) = x. [para(28424(a,1),31166(a,1,2,2)),rewrite(28082(6),28082(7),28424(14))]. given #1391 (A,wt=23): 26798 f(f(x,f(f(x,y),f(x,z))),f(c_0,f(u,f(f(x,y),f(x,z))))) = c_0. [para(19010(a,1),14623(a,1,1))]. Low Water (keep): wt=47, part=0.93, limit=47 given #1392 (F,wt=19): 31186 f(f(x,f(y,f(x,z))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(28829(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),28829(16))]. given #1393 (F,wt=19): 31190 f(f(x,f(y,f(x,z))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(29424(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),29424(16))]. given #1394 (T,wt=19): 31191 f(f(x,f(y,f(x,z))),f(x,f(x,f(c_0,f(u,z))))) = x. [para(29526(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),29526(16))]. given #1395 (T,wt=19): 31195 f(f(x,f(y,f(z,z))),f(x,f(u,f(x,f(x,z))))) = x. [para(29950(a,1),31166(a,1,2,2)),rewrite(28082(6),28082(7),29950(14))]. given #1396 (A,wt=23): 26799 f(f(f(x,y),f(x,z)),f(c_0,f(u,f(x,f(f(x,y),f(x,z)))))) = c_0. [para(19010(a,1),14623(a,1,2,2,2)),rewrite(14874(7))]. given #1397 (F,wt=19): 31201 f(f(f(x,y),f(x,z)),f(f(x,z),f(z,u))) = f(x,z). [para(31166(a,1),31166(a,1,2,2)),rewrite(28082(6),31166(11))]. given #1398 (F,wt=19): 31238 f(f(x,x),f(f(y,x),f(z,f(f(y,x),f(x,u))))) = c_0. [para(29935(a,1),21236(a,1,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #1399 (T,wt=19): 31249 f(x,f(f(x,y),f(z,f(f(x,y),f(u,y))))) = f(x,y). [para(31212(a,1),28196(a,2)),rewrite(28082(2),28082(3),29720(4),28082(3),28082(4),28082(5),28082(8))]. given #1400 (T,wt=19): 31258 f(f(f(x,y),f(y,z)),f(f(y,z),f(z,u))) = f(y,z). [para(31212(a,1),31166(a,1,2,2)),rewrite(28082(6),31212(11))]. Low Water (keep): wt=45, part=0.90, limit=45 given #1401 (A,wt=27): 26801 f(f(x,f(f(y,z),f(y,u))),f(y,f(f(y,z),f(y,u)))) = f(f(y,z),f(y,u)). [para(19010(a,1),15611(a,1,2))]. given #1402 (F,wt=19): 31269 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(22(a,1),29680(a,1,2,1)),rewrite(14500(3,R),28082(3),28082(6))]. given #1403 (F,wt=19): 31270 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(16188(a,1),29680(a,1,2,1)),rewrite(14500(3,R),28082(3),28082(6))]. given #1404 (T,wt=19): 31371 f(f(x,y),f(x,f(z,f(c_0,f(u,f(x,f(x,y))))))) = x. [para(16188(a,1),29715(a,1,2,1)),rewrite(28082(5),16188(13))]. given #1405 (T,wt=19): 31372 f(f(x,y),f(y,f(z,f(c_0,f(u,f(y,f(x,y))))))) = y. [para(17394(a,1),29715(a,1,2,1)),rewrite(28082(5),17394(13))]. given #1406 (A,wt=29): 26804 f(f(f(x,y),f(x,z)),f(u,f(x,f(f(x,y),f(x,z))))) = f(c_0,f(f(x,y),f(x,z))). [para(19010(a,1),14787(a,1,2,2,2,2)),rewrite(14874(9),14874(13))]. given #1407 (F,wt=19): 31796 f(f(c_0,f(x,f(y,y))),f(x,f(z,f(c_0,f(y,u))))) = c_0. [para(29367(a,1),31782(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(10))]. given #1408 (F,wt=19): 31797 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(u,u)))) = c_0. [para(29506(a,1),31782(a,1,2,2,2,2)),rewrite(28082(8),14500(8))]. given #1409 (T,wt=19): 31801 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = c_0. [para(29368(a,1),31782(a,1,2,2,2,2)),rewrite(14553(10),28082(10))]. given #1410 (T,wt=19): 32022 f(f(x,x),f(f(x,f(y,y)),f(y,f(y,f(x,x))))) = c_0. [para(30222(a,1),30332(a,1,2,2)),rewrite(28082(7),14500(16,R),28082(14),28091(15))]. given #1411 (A,wt=37): 26806 f(x,f(c_0,f(f(x,f(x,f(f(x,y),f(x,z)))),f(u,f(c_0,f(f(x,y),f(x,z))))))) = f(x,f(f(x,y),f(x,z))). [para(19010(a,2),14787(a,1,2,2,2,2))]. given #1412 (F,wt=19): 32197 f(x,f(f(f(x,x),f(y,z)),f(f(x,x),f(u,v)))) = c_0. [para(29203(a,1),31263(a,1,1,2)),rewrite(14553(3),29203(7))]. given #1413 (F,wt=19): 32212 f(f(x,f(y,z)),f(x,f(z,z))) = f(c_0,f(x,f(y,z))). [para(22(a,1),31421(a,1,2,2,2)),rewrite(28082(4),14500(4))]. given #1414 (T,wt=19): 32215 f(f(x,f(y,y)),f(x,f(y,z))) = f(c_0,f(x,f(y,z))). [para(16188(a,1),31421(a,1,2,2,2)),rewrite(28082(4),14500(4),28082(5))]. given #1415 (T,wt=19): 32222 f(f(x,y),f(c_0,f(z,f(z,f(x,f(c_0,f(y,u))))))) = c_0. [para(31421(a,1),21213(a,1,1,2)),rewrite(14874(5),28082(7))]. given #1416 (A,wt=27): 26817 f(f(x,f(f(x,y),f(x,z))),f(u,f(f(x,y),f(x,z)))) = f(f(x,y),f(x,z)). [para(19010(a,1),17250(a,1,1))]. given #1417 (F,wt=19): 32225 f(f(x,y),f(x,f(f(y,z),f(y,u)))) = f(c_0,f(x,y)). [para(19010(a,2),31421(a,1,2,2,2)),rewrite(14874(8))]. Low Water (keep): wt=43, part=0.88, limit=43 given #1418 (F,wt=19): 32271 f(f(x,f(x,f(y,z))),f(x,f(y,f(c_0,f(z,u))))) = x. [para(31421(a,1),29526(a,1,2,2,2,2)),rewrite(14874(10),28082(9))]. given #1419 (T,wt=19): 32320 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(31421(a,1),31782(a,1,2,2,2,2)),rewrite(14874(11),28082(10))]. given #1420 (T,wt=19): 32392 f(f(c_0,c_0),f(x,f(y,f(z,f(u,f(c_0,f(v,w))))))) = c_0. [para(31803(a,1),31782(a,1,2,2,2,2)),rewrite(14873(12),28082(11))]. given #1421 (A,wt=25): 26858 f(f(x,f(f(x,y),f(x,z))),f(f(x,z),f(u,f(f(x,y),f(x,z))))) = c_0. [para(19010(a,1),19086(a,1,1))]. given #1422 (F,wt=19): 32394 f(f(c_0,c_0),f(x,f(y,f(z,f(f(u,v),f(w,v6)))))) = c_0. [para(31808(a,1),31782(a,1,2,2,2,2)),rewrite(14873(11),28082(10))]. given #1423 (F,wt=19): 32468 f(x,f(f(y,f(x,x)),f(f(y,y),f(x,f(y,y))))) = c_0. [para(22(a,1),32062(a,1,2,2,2)),rewrite(28082(6),28082(7))]. given #1424 (T,wt=19): 32545 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(29534(a,1),32117(a,1,2,2)),rewrite(28082(11))]. given #1425 (T,wt=19): 32669 f(f(x,y),f(c_0,f(z,f(z,f(y,f(c_0,f(x,u))))))) = c_0. [para(32229(a,1),21213(a,1,1,2)),rewrite(14874(5),28082(7))]. given #1426 (A,wt=25): 26860 f(f(x,f(f(x,y),f(x,z))),f(f(x,y),f(u,f(f(x,y),f(x,z))))) = c_0. [para(19010(a,1),19088(a,1,1))]. given #1427 (F,wt=19): 32671 f(f(x,y),f(y,f(f(x,z),f(x,u)))) = f(c_0,f(x,y)). [para(19010(a,2),32229(a,1,2,2,2)),rewrite(14874(8))]. given #1428 (F,wt=19): 32745 f(x,f(f(x,y),f(f(x,f(x,y)),f(z,u)))) = f(x,y). [para(22(a,1),32337(a,1,1)),rewrite(28082(1),28082(2),28082(3),28082(5),8394(5),28082(3),28082(8))]. given #1429 (T,wt=19): 32746 f(x,f(f(y,x),f(f(x,f(y,x)),f(z,u)))) = f(y,x). [para(22(a,1),32337(a,1,2,2,1,2)),rewrite(22(3),28082(3))]. Low Water (keep): wt=41, part=0.84, limit=41 given #1430 (T,wt=19): 32897 f(f(c_0,f(f(x,y),f(z,z))),f(f(x,y),f(z,u))) = c_0. [para(32407(a,1),28982(a,1,1,2)),rewrite(28082(7),28082(9))]. given #1431 (A,wt=23): 26861 f(f(f(x,y),f(x,z)),f(x,f(u,f(x,f(f(x,y),f(x,z)))))) = c_0. [para(19010(a,2),19088(a,1,1,2)),rewrite(14874(7))]. given #1432 (F,wt=19): 33176 f(x,f(c_0,f(f(y,f(c_0,f(z,x))),f(c_0,f(z,y))))) = c_0. [para(29367(a,1),28092(a,1,2,2,2,2,2)),rewrite(28082(10),31074(14))]. given #1433 (F,wt=19): 33230 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [para(29868(a,1),28138(a,1,2,2,2)),rewrite(28082(12),14874(13),28082(10))]. given #1434 (T,wt=19): 33247 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(c_0,f(u,y))))))) = c_0. [para(31782(a,1),28138(a,1,2,2,2)),rewrite(28082(13),14874(14),28082(11))]. given #1435 (T,wt=19): 33272 f(f(x,x),f(y,f(f(x,z),f(u,f(c_0,f(x,v)))))) = x. [para(28180(a,1),29375(a,1,2,2,1)),rewrite(28082(7))]. given #1436 (A,wt=23): 26944 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(c_0,f(f(y,z),f(y,u)))))) = y. [para(19010(a,2),17377(a,1,2,2,2))]. given #1437 (F,wt=19): 33275 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(28180(a,1),29858(a,1,2,2,2,2))]. given #1438 (F,wt=19): 33277 f(f(x,y),f(y,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = y. [para(28180(a,1),29886(a,1,2,2,2,2))]. given #1439 (T,wt=19): 33293 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(u,f(x,y)))))) = x. [para(28180(a,1),31701(a,1,2,2)),rewrite(28082(5))]. given #1440 (T,wt=19): 33297 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(28180(a,1),32372(a,1,2,2)),rewrite(28082(6))]. given #1441 (A,wt=31): 27122 f(c_0,f(f(x,x),f(c_0,f(f(y,z),f(y,u))))) = f(c_0,f(f(x,x),f(y,f(f(y,z),f(y,u))))). [para(19010(a,1),19010(a,1,2,2)),rewrite(15175(3),15175(11)),flip(a)]. Low Water (keep): wt=39, part=0.81, limit=39 given #1442 (F,wt=19): 33321 f(f(x,y),f(x,f(z,f(x,f(y,f(c_0,f(x,u))))))) = x. [para(33274(a,1),28196(a,1,2,1)),rewrite(28082(7),33274(16))]. given #1443 (F,wt=19): 33366 f(f(x,f(y,f(x,z))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(33274(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),33274(16))]. given #1444 (T,wt=19): 33389 f(f(x,y),f(x,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = x. [para(28180(a,1),33274(a,1,2,2,2,2))]. given #1445 (T,wt=19): 33395 f(f(x,y),f(y,f(z,f(y,f(x,f(c_0,f(y,u))))))) = y. [para(33278(a,1),28196(a,1,2,1)),rewrite(28082(7),33278(16))]. given #1446 (A,wt=31): 27124 f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))) = f(x,f(f(x,y),f(x,f(f(x,z),f(x,u))))). [para(19010(a,2),19010(a,1,2,2))]. given #1447 (F,wt=19): 33454 f(f(x,y),f(y,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = y. [para(28180(a,1),33278(a,1,2,2,2,2))]. given #1448 (F,wt=19): 34775 f(x,f(c_0,f(f(y,f(x,z)),f(x,f(x,z))))) = f(x,z). [para(14787(a,1),29343(a,1,2,2)),rewrite(15611(6),28082(7)),flip(a)]. given #1449 (T,wt=19): 34832 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,z)))) = c_0. [para(29367(a,1),34791(a,1,2,2,2,2)),rewrite(28082(5),28082(8),14500(8))]. given #1450 (T,wt=19): 34833 f(f(x,f(y,f(c_0,f(z,f(u,u))))),f(c_0,f(u,x))) = c_0. [para(29368(a,1),34791(a,1,2,2,2,2)),rewrite(28082(6),14553(10),28082(8))]. given #1451 (A,wt=31): 27126 f(c_0,f(f(x,y),f(x,f(f(x,z),f(x,u))))) = f(x,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))). [para(19010(a,2),19010(a,2,2,2))]. given #1452 (F,wt=19): 34835 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(y,z)))) = c_0. [para(31421(a,1),34791(a,1,2,2,2,2)),rewrite(28082(5),14874(11))]. given #1453 (F,wt=19): 34955 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(29367(a,1),29380(a,1,2,2)),rewrite(28082(9),28082(10))]. given #1454 (T,wt=19): 34956 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(c_0,f(u,x))))) = c_0. [para(29506(a,1),29380(a,1,2,2)),rewrite(28082(9),28082(10))]. given #1455 (T,wt=19): 34975 f(f(c_0,f(f(x,x),f(y,y))),f(f(x,z),f(y,u))) = c_0. [para(32099(a,1),29380(a,1,2,2)),rewrite(14500(8,R),28082(8),14553(8),28082(6))]. given #1456 (A,wt=21): 28083 f(f(x,y),f(x,f(z,f(x,y)))) = f(c_0,f(x,f(z,f(x,y)))). [para(27434(a,1),8396(a,1,2)),rewrite(28082(3),28082(8),14500(11,R),28082(7),14874(7),28082(5),28082(8))]. given #1457 (F,wt=19): 35035 f(f(x,f(y,f(z,f(u,f(z,x))))),f(c_0,f(z,x))) = c_0. [para(29406(a,1),31782(a,1,2,2)),rewrite(28082(5))]. given #1458 (F,wt=19): 35138 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,z)))))))) = c_0. [para(35081(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #1459 (T,wt=19): 35161 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,z)))))) = f(x,y). [para(35081(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #1460 (T,wt=19): 35197 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(z,x)))))))) = c_0. [para(35081(a,1),28138(a,1,2,2,2)),rewrite(28082(4),14500(13),14553(13),28082(11))]. given #1461 (A,wt=25): 28096 f(f(x,f(y,f(x,z))),f(f(x,z),f(u,f(c_0,f(x,f(y,f(x,z))))))) = c_0. [para(27434(a,1),19042(a,1,2,1)),rewrite(28082(3),28082(8),14500(11,R),28082(7),14874(7),28082(7),28082(10))]. Low Water (keep): wt=37, part=0.76, limit=37 given #1462 (F,wt=19): 35257 f(x,f(c_0,f(f(x,f(y,f(z,u))),f(c_0,f(z,u))))) = c_0. [para(15611(a,1),35151(a,1,2,2,2,2,2)),rewrite(28082(8))]. given #1463 (F,wt=19): 35260 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,z)))))))) = c_0. [para(35151(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1464 (T,wt=19): 35264 f(x,f(f(x,y),f(z,f(x,f(u,f(z,z)))))) = f(x,y). [para(35151(a,1),29564(a,1,2,2,2)),rewrite(28082(9),14874(9))]. given #1465 (T,wt=19): 35268 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(29433(a,1),35151(a,1,2,2,2,2)),rewrite(28082(9))]. given #1466 (A,wt=41): 28133 f(f(x,y),f(c_0,f(f(z,f(c_0,f(y,f(u,f(x,y))))),f(f(x,y),f(c_0,f(y,f(u,f(x,y)))))))) = f(c_0,f(y,f(u,f(x,y)))). [para(27434(a,1),17377(a,1,2,2,1,2)),rewrite(28082(2),28082(3),28084(6),28082(4),28082(5),28082(8),28082(9),28082(11),28082(12),28082(15),28082(16),28082(20),28082(21))]. given #1467 (F,wt=19): 35269 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(29534(a,1),35151(a,1,2,2,2,2)),rewrite(28082(9))]. given #1468 (F,wt=19): 35271 f(x,f(c_0,f(f(y,z),f(x,f(u,f(c_0,f(y,z))))))) = c_0. [para(29957(a,1),35151(a,1,2,2,2,2,2)),rewrite(14500(4,R),28082(4),14500(7,R),28082(7),28082(9),14783(9),28082(6),14874(6),14500(5,R),28082(5))]. given #1469 (T,wt=19): 35281 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(c_0,f(z,u))))))) = c_0. [para(35187(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #1470 (T,wt=19): 35289 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(c_0,f(z,u))))) = c_0. [para(28173(a,1),35187(a,1,2,2,2,2)),rewrite(28082(6))]. given #1471 (A,wt=25): 28139 f(f(x,x),f(c_0,f(f(y,f(z,x)),f(c_0,f(y,f(u,f(y,f(z,x)))))))) = c_0. [para(27434(a,1),20823(a,1,1,2,2)),rewrite(28082(5),28082(10),28082(13))]. given #1472 (F,wt=19): 35300 f(x,f(f(x,y),f(f(x,z),f(c_0,f(z,u))))) = f(x,y). [para(35187(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #1473 (F,wt=19): 35311 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(u,f(y,y)))))) = c_0. [para(28123(a,1),35187(a,1,2,2,2,2))]. given #1474 (T,wt=19): 35314 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(u,f(z,z)))))) = c_0. [para(29366(a,1),35187(a,1,2,2,2,2))]. given #1475 (T,wt=19): 35354 f(x,f(c_0,f(y,f(c_0,f(f(z,z),f(x,f(z,u))))))) = c_0. [para(35256(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1476 (A,wt=27): 28147 f(f(x,y),f(y,f(f(y,z),f(y,f(x,f(c_0,f(f(x,u),f(x,f(x,y))))))))) = y. [para(27434(a,1),15937(a,1,2,1,2,2,2)),rewrite(28082(6),28082(7),28082(14),28082(15),28084(18),28082(14),28082(17),28082(19),28137(20))]. given #1477 (F,wt=19): 35358 f(x,f(f(x,y),f(f(z,z),f(x,f(z,u))))) = f(x,y). [para(35256(a,1),29564(a,1,2,2,2)),rewrite(28082(9),14874(9))]. given #1478 (F,wt=19): 35361 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(c_0,f(u,z))))) = c_0. [para(29366(a,1),35256(a,1,2,2,2,2)),rewrite(14500(4,R),28082(4),28082(8))]. given #1479 (T,wt=19): 35367 f(x,f(c_0,f(f(y,y),f(x,f(z,f(c_0,f(y,u))))))) = c_0. [para(28180(a,1),35256(a,1,2,2,2,2))]. given #1480 (T,wt=19): 35375 f(x,f(c_0,f(f(y,y),f(x,f(z,f(c_0,f(u,y))))))) = c_0. [para(29506(a,1),35262(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #1481 (A,wt=39): 28164 f(f(x,y),f(x,f(f(z,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(x,f(x,f(f(x,u),f(x,f(x,y))))))))) = f(c_0,f(x,y)). [para(27434(a,1),16034(a,1,1,2,1,1,2,2,1,2)),rewrite(28082(1),28082(3),28082(4),28082(9),28082(10),28082(13),28084(13),28082(10),28082(13),28082(14),28082(17),28084(17),28082(15),28082(18),28082(19),28082(22),28084(22),28082(18),28082(21),28082(22),28082(25),28084(25))]. Low Water (keep): wt=35, part=0.71, limit=35 given #1482 (F,wt=19): 35378 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(u,f(y,y)))))))) = c_0. [para(29368(a,1),35262(a,1,2,2,2,2)),rewrite(14553(10),28082(8))]. given #1483 (F,wt=19): 35391 f(x,f(c_0,f(f(y,z),f(x,f(y,f(c_0,f(z,u))))))) = c_0. [para(31421(a,1),35262(a,1,2,2,2,2)),rewrite(14874(11),28082(8))]. given #1484 (T,wt=19): 35397 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,u)),f(u,u)))))) = c_0. [para(35277(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1485 (T,wt=19): 35399 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(u,f(y,z)))))) = c_0. [para(28084(a,1),35277(a,1,2,2,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #1486 (A,wt=39): 28165 f(f(x,y),f(y,f(f(z,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(y,f(f(y,u),f(y,f(x,y))))))))) = f(c_0,f(x,y)). [para(16034(a,1),27434(a,2)),rewrite(28082(3),28082(5),28082(6),28082(12),28082(17),28082(19),28082(21),28082(22),28082(28),28082(33),28082(36),28082(37),28084(40))]. given #1487 (F,wt=19): 35400 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(u,f(y,z)))))) = c_0. [para(28086(a,1),35277(a,1,2,2,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #1488 (F,wt=19): 35402 f(x,f(f(x,y),f(f(x,f(z,u)),f(u,u)))) = f(x,y). [para(35277(a,1),29564(a,1,2,2,2)),rewrite(28082(9),14874(9))]. given #1489 (T,wt=19): 35456 f(x,f(c_0,f(y,f(c_0,f(f(z,x),f(c_0,f(z,u))))))) = c_0. [para(35341(a,1),28138(a,1,2,2,2)),rewrite(14500(13),14553(13),28082(11))]. given #1490 (T,wt=19): 35532 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(x,z)))))))) = c_0. [para(35500(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1491 (A,wt=49): 28166 f(f(x,y),f(c_0,f(f(z,f(c_0,f(x,y))),f(y,f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(y,f(f(y,v),f(y,f(x,y))))))))))) = f(c_0,f(x,y)). [para(16035(a,1),27434(a,1,2,2,2,1)),rewrite(28082(3),28082(5),28082(6),28082(12),28082(16),28082(17),28082(22),28082(23),28082(26),28082(28),28082(29),28082(35),28082(39),28082(40),28082(43),28165(43))]. given #1492 (F,wt=19): 35555 f(x,f(f(x,y),f(z,f(x,f(u,f(x,z)))))) = f(x,y). [para(35500(a,1),29564(a,1,2,2,2)),rewrite(28082(9),14874(9))]. given #1493 (F,wt=19): 35613 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,x)))))))) = c_0. [para(35500(a,1),28138(a,1,2,2,2)),rewrite(28082(3),14500(12),14553(12),28082(10))]. given #1494 (T,wt=19): 35943 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,z)))))))) = c_0. [para(35810(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10))]. given #1495 (T,wt=19): 35963 f(x,f(f(x,y),f(z,f(z,f(u,f(x,z)))))) = f(x,y). [para(35810(a,1),29564(a,1,2,2,2)),rewrite(28082(9),14874(9))]. given #1496 (A,wt=21): 28168 f(f(x,f(y,f(y,x))),f(c_0,f(f(x,z),f(x,f(y,x))))) = x. [para(22877(a,1),27434(a,1,2,2,2,1)),rewrite(28082(3),28082(8),28082(15),27358(16))]. given #1497 (F,wt=19): 35992 f(f(x,x),f(c_0,f(f(y,z),f(f(x,u),f(y,z))))) = c_0. [para(32407(a,1),35810(a,1,2,2,2,2)),rewrite(28082(6))]. given #1498 (F,wt=19): 35993 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(z,x)))))))) = c_0. [para(35810(a,1),28138(a,1,2,2,2)),rewrite(28082(3),14500(12),14553(12),28082(10))]. given #1499 (T,wt=19): 36605 f(f(x,f(x,y)),f(c_0,f(x,z))) = f(z,f(c_0,f(x,y))). [para(29297(a,1),29431(a,1,2,2)),rewrite(28082(5),36584(7),28082(5)),flip(a)]. given #1500 (T,wt=17): 53165 f(x,f(c_0,f(y,f(f(y,x),f(z,u))))) = f(y,x). [back_rewrite(44377),rewrite(52692(9))]. given #1501 (A,wt=29): 28175 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(f(x,z),f(v,f(c_0,f(x,f(y,f(x,z))))))))) = c_0. [para(27434(a,1),20266(a,1,2,2,1,1)),rewrite(28082(3),28082(8),14500(11,R),28082(7),14874(7),28082(8),28082(11),28082(13))]. given #1502 (F,wt=17): 53229 f(x,f(c_0,f(y,f(y,f(f(y,x),f(z,u)))))) = c_0. [back_rewrite(32523),rewrite(52805(17),52692(10))]. given #1503 (F,wt=17): 53302 f(x,f(c_0,f(y,f(f(x,y),f(z,u))))) = f(x,y). [para(53165(a,1),12782(a,1,2,2)),rewrite(28082(1),12782(3),28082(3)),flip(a)]. given #1504 (T,wt=17): 53497 f(x,f(c_0,f(y,f(y,f(f(x,y),f(z,u)))))) = c_0. [para(53229(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(3)),flip(a)]. given #1505 (T,wt=17): 53531 f(x,f(c_0,f(y,f(x,f(f(x,y),f(z,u)))))) = c_0. [para(53229(a,1),36586(a,2)),rewrite(28082(6))]. given #1506 (A,wt=29): 28176 f(f(c_0,f(x,f(y,f(z,f(y,u))))),f(f(y,u),f(v,f(c_0,f(y,f(z,f(y,u))))))) = c_0. [para(27434(a,1),20336(a,1,1,1)),rewrite(28082(4),28082(7),28082(12),28082(17),14500(20,R),28082(16),14874(16),28082(13),28082(15))]. given #1507 (F,wt=17): 53665 f(x,f(c_0,f(y,f(x,f(f(y,x),f(z,u)))))) = c_0. [para(53531(a,1),28082(a,1)),rewrite(28082(3),28082(9)),flip(a)]. given #1508 (F,wt=19): 36651 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(u,f(c_0,f(z,y)))). [para(29431(a,2),29200(a,1,2,2,2)),rewrite(36584(10),32727(10))]. given #1509 (T,wt=19): 36678 f(f(c_0,f(x,f(y,z))),f(x,f(z,f(c_0,f(y,u))))) = c_0. [para(29431(a,2),29846(a,1,1,2)),rewrite(36584(7),14500(13,R),28082(11),14874(11),28082(10))]. Low Water (keep): wt=33, part=0.65, limit=33 given #1510 (T,wt=19): 36686 f(f(x,f(x,f(y,z))),f(x,f(z,f(c_0,f(y,u))))) = x. [para(29431(a,2),29877(a,1,1,2)),rewrite(36584(7),14500(12,R),28082(10),14874(10),28082(9))]. given #1511 (A,wt=25): 28184 f(f(f(x,y),f(x,z)),f(c_0,f(f(x,u),f(c_0,f(u,f(v,f(x,u))))))) = c_0. [para(27434(a,1),21598(a,1,2,2,2)),rewrite(28082(6),28082(7),28082(10),28082(11))]. given #1512 (F,wt=19): 36687 f(f(x,f(x,f(c_0,f(y,z)))),f(z,f(c_0,f(y,x)))) = x. [para(29431(a,2),29877(a,1,1)),rewrite(36584(7),14500(7,R),28082(7),28082(10))]. given #1513 (F,wt=19): 36740 f(f(x,f(y,f(x,z))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(29431(a,1),21236(a,1,2,2))]. given #1514 (T,wt=19): 36851 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(c_0,f(y,u))))) = c_0. [para(29431(a,1),28299(a,1,2,2))]. given #1515 (T,wt=19): 36852 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(c_0,f(y,u))))) = c_0. [para(29431(a,1),28300(a,1,2,2))]. given #1516 (A,wt=39): 28191 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(c_0,f(f(z,f(y,z)),f(c_0,f(y,f(u,f(y,z))))))))) = f(y,z). [para(27434(a,1),16092(a,1,1,2)),rewrite(28082(6),28086(9),28082(7),28086(10),28082(6),28082(11),28086(14),28082(13),28082(23),28086(26))]. given #1517 (F,wt=19): 36875 f(f(x,f(y,f(x,z))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(29431(a,1),28938(a,1,2,2)),rewrite(28082(1))]. given #1518 (F,wt=19): 36906 f(x,f(c_0,f(y,f(z,f(y,f(u,f(y,x))))))) = f(y,x). [para(29431(a,2),29406(a,1)),rewrite(36584(11))]. given #1519 (T,wt=17): 54451 f(x,f(f(y,z),f(y,f(u,f(x,y))))) = f(x,y). [para(19010(a,2),36906(a,1,2,2)),rewrite(28082(4),14874(9),28082(7))]. given #1520 (T,wt=17): 54463 f(x,f(f(y,z),f(z,f(u,f(x,z))))) = f(x,z). [para(19297(a,2),36906(a,1,2,2)),rewrite(28082(4),14874(9),28082(7))]. given #1521 (A,wt=39): 28192 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(c_0,f(f(y,f(y,z)),f(c_0,f(z,f(u,f(y,z))))))))) = f(y,z). [para(27434(a,1),16092(a,1,2,2,1,1)),rewrite(28082(2),28082(3),28084(6),28082(4),28082(6),28082(7),28084(10),28082(6),28082(10),28082(11),28084(14),28082(12),28082(13),28082(22),28082(23),28084(26))]. given #1522 (F,wt=17): 54596 f(x,f(f(y,z),f(y,f(u,f(y,x))))) = f(y,x). [para(54451(a,1),28082(a,2)),rewrite(28082(2),28082(6),28082(7))]. given #1523 (F,wt=17): 54707 f(x,f(f(y,z),f(z,f(u,f(z,x))))) = f(z,x). [para(54463(a,1),28082(a,2)),rewrite(28082(2),28082(6),28082(7))]. Low Water (keep): wt=31, part=0.62, limit=31 given #1524 (T,wt=19): 36915 f(x,f(c_0,f(f(y,z),f(x,f(z,f(c_0,f(y,u))))))) = c_0. [para(29431(a,2),35277(a,1,2,2,1,2)),rewrite(36584(8),14500(13,R),28082(11),14874(11),28082(8))]. given #1525 (T,wt=19): 36948 f(f(x,f(y,f(c_0,f(x,z)))),f(z,f(c_0,f(x,y)))) = x. [para(29431(a,1),29427(a,1,2,2)),rewrite(36584(7),28082(10))]. given #1526 (A,wt=23): 28195 f(x,f(c_0,f(y,f(c_0,f(f(z,f(x,y)),f(u,f(x,y))))))) = f(x,y). [para(19010(a,2),27434(a,1,2,2,2)),rewrite(28082(3),28082(4),28082(5),28082(6),28082(12))]. given #1527 (F,wt=19): 37436 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,y)))))))) = c_0. [back_rewrite(30189),rewrite(36952(10))]. given #1528 (F,wt=19): 37438 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(x,x)))))))) = c_0. [back_rewrite(30182),rewrite(36952(10))]. given #1529 (T,wt=19): 37439 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(y,f(x,u))))))) = c_0. [back_rewrite(30122),rewrite(36952(10))]. given #1530 (T,wt=19): 37445 f(x,f(c_0,f(y,f(z,z)))) = f(y,f(c_0,f(x,f(z,z)))). [back_rewrite(29786),rewrite(36952(9),29343(9))]. given #1531 (A,wt=39): 28198 f(f(f(x,y),f(c_0,f(x,f(z,f(x,y))))),f(f(u,f(x,y)),f(c_0,f(x,f(z,f(x,y)))))) = f(c_0,f(x,f(z,f(x,y)))). [para(27434(a,1),27256(a,1,1,2)),rewrite(28082(3),28082(7),28082(10),28082(15),28086(18),28082(14),28082(15),28082(19))]. given #1532 (F,wt=19): 37467 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(y,x)))))))) = c_0. [back_rewrite(28936),rewrite(36952(10))]. given #1533 (F,wt=19): 37497 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(y,x)))))))) = c_0. [back_rewrite(21242),rewrite(36952(10))]. given #1534 (T,wt=19): 37498 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,x)))))))) = c_0. [back_rewrite(21240),rewrite(36952(10))]. given #1535 (T,wt=19): 37499 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(y,x)))))))) = c_0. [back_rewrite(20450),rewrite(36952(11))]. given #1536 (A,wt=21): 28200 f(f(x,f(y,f(x,f(x,z)))),f(c_0,f(f(x,z),f(x,u)))) = x. [para(27287(a,1),27434(a,1,2,2,2,1)),rewrite(28082(3),28082(14),27673(16))]. given #1537 (F,wt=19): 37766 f(f(x,f(x,f(c_0,f(y,z)))),f(y,f(c_0,f(z,x)))) = x. [para(36585(a,1),16188(a,1,1)),rewrite(28082(6),28082(10))]. given #1538 (F,wt=19): 37767 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(c_0,f(z,y)))) = x. [para(36585(a,1),16188(a,1,2,2)),rewrite(28082(6),28082(10))]. given #1539 (T,wt=19): 37770 f(x,f(c_0,f(f(y,f(c_0,f(x,z))),f(c_0,f(z,y))))) = c_0. [para(36585(a,1),17567(a,1,2,2,2)),rewrite(28082(6),28082(9))]. given #1540 (T,wt=19): 37779 f(c_0,f(x,f(c_0,f(y,z)))) = f(c_0,f(z,f(c_0,f(x,y)))). [para(36585(a,1),15587(a,1,2,2,2)),rewrite(28082(7),37778(12)),flip(a)]. given #1541 (A,wt=23): 28234 f(x,f(c_0,f(y,f(y,f(c_0,f(f(z,f(x,x)),f(u,f(x,x)))))))) = c_0. [back_rewrite(26971),rewrite(28082(4),28082(6),28082(9))]. given #1542 (F,wt=19): 37805 f(f(x,f(y,x)),f(c_0,f(z,x))) = f(z,f(c_0,f(y,x))). [para(29297(a,1),36585(a,1,2,2)),rewrite(28082(8)),flip(a)]. given #1543 (F,wt=19): 37827 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(z,f(c_0,f(y,u)))). [para(36585(a,1),29204(a,1,2,2,2)),rewrite(28082(2),29726(7),28082(7))]. given #1544 (T,wt=19): 37828 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(u,f(c_0,f(y,z)))). [para(36585(a,1),29204(a,2,2)),rewrite(29204(7),28082(7))]. given #1545 (T,wt=19): 37855 f(f(x,f(y,f(z,u))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(36585(a,1),29950(a,1,1,2)),rewrite(28082(2),28082(7),28082(10),14500(12,R),28082(10),14874(10),28082(9))]. given #1546 (A,wt=49): 28235 f(f(x,f(f(x,y),f(x,z))),f(c_0,f(f(u,f(f(x,y),f(x,z))),f(f(f(x,y),f(x,z)),f(f(v,v),f(f(x,y),f(x,z))))))) = f(f(x,y),f(x,z)). [back_rewrite(26953),rewrite(28082(13),28082(18),28082(19))]. given #1547 (F,wt=19): 37857 f(f(x,f(y,f(z,u))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(36585(a,1),30108(a,1,2,2)),rewrite(14500(7,R),28082(5),14874(5),28082(6))]. given #1548 (F,wt=19): 37923 f(f(x,x),f(c_0,f(y,z))) = f(y,f(c_0,f(z,f(x,x)))). [para(36585(a,1),26787(a,1,2,2)),rewrite(28082(5),14500(5),14874(9),28082(7),14500(7),28082(8)),flip(a)]. given #1549 (T,wt=19): 37969 f(x,f(c_0,f(y,f(z,f(y,f(u,f(x,y))))))) = f(x,y). [para(36585(a,1),29406(a,1)),rewrite(28082(2),28082(9))]. given #1550 (T,wt=19): 37992 f(f(x,f(y,f(c_0,f(z,x)))),f(z,f(c_0,f(x,y)))) = x. [para(36585(a,1),29427(a,1,1)),rewrite(28082(6),28082(10))]. given #1551 (A,wt=53): 28238 f(f(x,x),f(f(f(x,y),f(x,f(z,f(c_0,f(f(z,f(x,z)),f(z,f(f(z,u),f(z,v)))))))),f(f(x,x),f(c_0,f(f(z,f(x,z)),f(c_0,f(f(z,u),f(z,v)))))))) = x. [back_rewrite(26948),rewrite(28082(3),28082(14),28082(23),28082(25),28082(26),28082(28))]. given #1552 (F,wt=19): 38005 f(x,f(c_0,f(y,f(x,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(12782(a,1),36586(a,2,2,2)),rewrite(28082(4))]. given #1553 (F,wt=17): 55892 f(f(x,x),f(y,f(c_0,f(z,f(y,f(x,y)))))) = x. [para(38005(a,2),29506(a,1,2)),rewrite(28082(3))]. given #1554 (T,wt=19): 38007 f(f(x,f(x,f(c_0,f(y,z)))),f(y,f(c_0,f(x,z)))) = x. [para(36586(a,1),16188(a,1,1)),rewrite(28082(6),28082(10))]. given #1555 (T,wt=19): 38008 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(c_0,f(y,z)))) = x. [para(36586(a,2),16188(a,1,2,2)),rewrite(28082(6),28082(10))]. given #1556 (A,wt=31): 28264 f(x,f(f(y,f(c_0,f(z,f(z,f(u,f(x,x)))))),f(v,f(c_0,f(z,f(z,f(u,f(x,x)))))))) = c_0. [back_rewrite(25877),rewrite(28082(3),28082(4),28082(10),28082(11),28082(16))]. given #1557 (F,wt=19): 38009 f(f(x,y),f(c_0,f(z,f(x,f(x,y))))) = f(z,f(x,x)). [para(16188(a,1),36586(a,2,2,2)),rewrite(28082(5),28082(9),14500(9))]. given #1558 (F,wt=17): 56188 f(f(c_0,f(x,y)),f(y,f(f(z,z),f(x,x)))) = c_0. [para(32117(a,1),38009(a,2)),rewrite(28082(4),28082(10),8397(10),14553(8),28082(12),55393(14),28082(8))]. given #1559 (T,wt=19): 38012 f(f(x,y),f(c_0,f(z,f(y,f(x,y))))) = f(z,f(y,y)). [para(17394(a,1),36586(a,2,2,2)),rewrite(28082(5),28082(9),14500(9))]. given #1560 (T,wt=19): 38073 f(x,f(c_0,f(y,f(z,f(c_0,f(u,f(x,x))))))) = f(x,y). [para(29368(a,1),36586(a,2,2,2)),rewrite(28082(7),14553(12),28082(10))]. given #1561 (A,wt=29): 28265 f(f(x,x),f(f(y,f(c_0,f(z,f(z,f(x,u))))),f(v,f(c_0,f(z,f(z,f(x,u))))))) = c_0. [back_rewrite(25875),rewrite(28082(3),28082(9),28082(15))]. given #1562 (F,wt=19): 38087 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(c_0,f(u,z))))) = c_0. [para(36586(a,1),29846(a,1,1,2)),rewrite(28082(8),28082(11),14500(13,R),28082(11),14874(11),28082(10))]. given #1563 (F,wt=19): 38090 f(f(x,f(x,f(y,z))),f(x,f(y,f(c_0,f(u,z))))) = x. [para(36586(a,1),29877(a,1,1,2)),rewrite(28082(7),28082(10),14500(12,R),28082(10),14874(10),28082(9))]. given #1564 (T,wt=19): 38098 f(f(x,f(y,f(z,u))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(36586(a,2),30108(a,1,2,2)),rewrite(14500(7,R),28082(5),14874(5),28082(6))]. given #1565 (T,wt=19): 38228 f(x,f(c_0,f(y,f(z,f(x,f(u,f(x,y))))))) = f(x,y). [para(36586(a,2),29406(a,1))]. given #1566 (A,wt=29): 28266 f(f(x,x),f(f(y,f(c_0,f(z,f(z,f(u,x))))),f(v,f(c_0,f(z,f(z,f(u,x))))))) = c_0. [back_rewrite(25874),rewrite(28082(3),28082(9),28082(15))]. given #1567 (F,wt=19): 38233 f(x,f(c_0,f(f(y,z),f(x,f(y,f(c_0,f(u,z))))))) = c_0. [para(36586(a,1),35277(a,1,2,2,1,2)),rewrite(28082(8),28082(11),14500(13,R),28082(11),14874(11),28082(8))]. given #1568 (F,wt=19): 38257 f(f(x,f(y,f(c_0,f(z,x)))),f(z,f(c_0,f(y,x)))) = x. [para(36586(a,1),29427(a,1,1)),rewrite(28082(6),28082(10))]. given #1569 (T,wt=19): 38287 f(x,f(y,f(f(y,z),f(y,f(x,x))))) = f(x,f(y,z)). [para(19010(a,1),36616(a,1,2)),rewrite(28082(8))]. given #1570 (T,wt=19): 38293 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(u,f(x,z))))) = c_0. [para(36616(a,1),28142(a,1,2,2,2,2)),rewrite(14500(11,R),28082(7),14874(7))]. given #1571 (A,wt=23): 28270 f(f(c_0,f(x,f(x,f(y,z)))),f(f(u,f(y,y)),f(v,f(y,y)))) = c_0. [back_rewrite(25711),rewrite(28082(2),28082(8),28082(11))]. given #1572 (F,wt=19): 38294 f(f(x,f(y,f(z,f(u,u)))),f(c_0,f(y,u))) = f(y,u). [para(36616(a,1),28173(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7),36616(14))]. given #1573 (F,wt=19): 38296 f(f(x,f(y,f(x,z))),f(f(x,z),f(x,f(y,y)))) = c_0. [para(36616(a,1),19142(a,1,2,2)),rewrite(28082(6),28082(8))]. given #1574 (T,wt=19): 38311 f(f(x,f(y,f(z,x))),f(f(z,x),f(x,f(y,y)))) = c_0. [para(36616(a,1),19317(a,1,2,2)),rewrite(28082(6),28082(8))]. given #1575 (T,wt=19): 38317 f(f(x,f(y,z)),f(c_0,f(x,f(y,f(u,f(z,z)))))) = c_0. [para(36616(a,1),29846(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #1576 (A,wt=23): 28273 f(f(c_0,f(x,f(x,f(y,z)))),f(f(u,f(z,z)),f(v,f(z,z)))) = c_0. [back_rewrite(24922),rewrite(28082(3),28082(7))]. given #1577 (F,wt=19): 38321 f(f(x,f(y,z)),f(x,f(x,f(y,f(u,f(z,z)))))) = x. [para(36616(a,1),29877(a,1,1,2)),rewrite(14500(13,R),28082(9),14874(9))]. given #1578 (F,wt=19): 38324 f(f(x,f(x,y)),f(x,f(z,f(y,f(u,f(x,x)))))) = x. [para(36616(a,1),29950(a,1,1,2)),rewrite(28082(1),14500(13,R),28082(9),14874(9))]. given #1579 (T,wt=19): 38325 f(f(x,f(y,f(z,f(u,f(x,x))))),f(c_0,f(x,z))) = c_0. [para(36616(a,1),30108(a,1,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(7))]. given #1580 (T,wt=19): 38401 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(u,f(z,z)))))) = c_0. [para(36616(a,1),35277(a,1,2,2,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #1581 (A,wt=27): 28311 f(f(c_0,f(x,f(x,f(y,f(z,z))))),f(y,f(f(z,f(z,u)),f(y,f(z,z))))) = c_0. [back_rewrite(21625),rewrite(28082(4),28082(7),28123(7),28082(7),28082(9),28083(10),14874(10),28082(9),28082(10),28082(13))]. given #1582 (F,wt=19): 38431 f(x,f(c_0,f(y,f(x,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(29297(a,1),37762(a,1,2,2)),flip(a)]. given #1583 (F,wt=19): 38438 f(x,f(c_0,f(f(y,y),f(x,f(z,f(x,f(x,y))))))) = c_0. [para(37762(a,1),28212(a,1))]. given #1584 (T,wt=19): 38442 f(f(x,f(y,f(x,f(z,f(u,x))))),f(c_0,f(u,x))) = c_0. [para(8394(a,1),25041(a,1,2,1)),rewrite(28082(9))]. given #1585 (T,wt=19): 38544 f(f(x,f(y,z)),f(c_0,f(u,f(u,f(x,f(y,y)))))) = c_0. [para(36546(a,1),28142(a,1,2,2,2,2)),rewrite(14500(9,R),28082(6),14874(6))]. given #1586 (A,wt=45): 28347 f(x,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(c_0,f(f(u,f(x,x)),f(f(x,x),f(v,f(c_0,f(w,f(x,x)))))))))) = f(x,x). [back_rewrite(20438),rewrite(28082(3),28082(4),28082(7),28082(11),28082(15),28082(17),28082(18),28082(22))]. given #1587 (F,wt=19): 38597 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(y,f(z,u))))) = c_0. [para(36546(a,1),29846(a,1,1,2)),rewrite(14500(13,R),28082(10),14874(10))]. given #1588 (F,wt=19): 38602 f(f(x,f(y,f(z,z))),f(x,f(x,f(y,f(z,u))))) = x. [para(36546(a,1),29877(a,1,1,2)),rewrite(14500(12,R),28082(9),14874(9))]. given #1589 (T,wt=19): 38781 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(y,f(x,y)))))) = c_0. [para(36546(a,1),24999(a,1,2,1))]. given #1590 (T,wt=19): 38788 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(y,f(z,u))))) = c_0. [para(36546(a,1),35277(a,1,2,2,1,2)),rewrite(14500(13,R),28082(10),14874(10))]. given #1591 (A,wt=45): 28348 f(x,f(c_0,f(f(f(x,x),f(y,f(c_0,f(z,f(x,x))))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(u,f(u,f(w,f(x,x)))))))))) = f(x,x). [back_rewrite(20437),rewrite(28082(4),28082(8),28082(11),28082(12),28082(15),28082(17),28082(18),28082(22))]. given #1592 (F,wt=19): 38847 f(f(x,f(y,z)),f(c_0,f(u,f(u,f(x,f(z,z)))))) = c_0. [para(36547(a,1),28142(a,1,2,2,2,2)),rewrite(14500(9,R),28082(6),14874(6))]. given #1593 (F,wt=19): 38849 f(f(f(x,y),f(x,z)),f(x,f(f(x,y),f(z,z)))) = c_0. [para(36547(a,1),19142(a,1,2,2))]. given #1594 (T,wt=19): 38856 f(f(f(x,y),f(y,z)),f(y,f(f(x,y),f(z,z)))) = c_0. [para(36547(a,1),19317(a,1,2,2))]. given #1595 (T,wt=19): 38875 f(f(x,f(y,f(x,f(z,u)))),f(c_0,f(x,f(u,u)))) = c_0. [para(36547(a,1),21236(a,1,2,2))]. given #1596 (A,wt=33): 28368 f(f(x,f(y,y)),f(f(y,z),f(f(u,f(y,y)),f(f(y,y),f(z,f(z,f(x,f(y,y)))))))) = f(y,y). [back_rewrite(18910),rewrite(28082(5),28082(6),28082(9),28082(11),28082(12))]. given #1597 (F,wt=17): 57611 f(f(x,f(y,x)),f(x,f(f(y,x),f(x,z)))) = x. [para(29371(a,1),28368(a,1,2,2,2,2,2)),rewrite(14500(4,R),28082(4),14553(4),28082(2),28082(5),22(5),14500(5,R),28082(5),14553(5),28082(3),14500(6,R),28082(6),14553(6),14500(7,R),28082(7),14553(7),28082(5),29297(6),28082(5),14500(10,R),28082(10),14553(10))]. given #1598 (F,wt=19): 38967 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(u,f(x,y)))))) = c_0. [para(19010(a,2),37452(a,1,2,2,2,2)),rewrite(28082(4),28082(5),28082(6),28082(7),14874(10))]. given #1599 (T,wt=19): 38999 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(28180(a,1),37452(a,1,2,2,2,2)),rewrite(28082(4),28082(5))]. given #1600 (T,wt=19): 39026 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(x,y)))))))) = c_0. [back_rewrite(37113),rewrite(28082(4),28082(9),31125(14),14874(9))]. given #1601 (A,wt=51): 28369 f(f(x,f(y,y)),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))) = f(y,y). [back_rewrite(18909),rewrite(28082(5),28082(6),28082(9),28082(12),28082(13),28082(16),28082(18),28082(19))]. given #1602 (F,wt=19): 39084 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(y,u)))) = c_0. [para(38004(a,1),34791(a,1,2,2,2,2)),rewrite(28082(5),14874(11))]. given #1603 (F,wt=19): 39358 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,x))))))) = c_0. [para(29528(a,1),28141(a,1,2,2,2,2)),rewrite(14500(9,R),28082(6),28082(8),28082(11),36952(11))]. given #1604 (T,wt=19): 39393 f(f(x,x),f(y,f(f(x,z),f(u,f(c_0,f(v,x)))))) = x. [para(29528(a,1),29406(a,1,1,2,2,2)),rewrite(28082(5),28082(6),29528(18),28082(9),14500(9),28082(9),29528(19))]. given #1605 (T,wt=19): 40090 f(x,f(c_0,f(y,f(z,f(x,f(u,f(y,x))))))) = f(y,x). [para(29797(a,1),28086(a,1,2,2,2,2)),rewrite(36952(13),38419(13),29797(16))]. given #1606 (A,wt=47): 28379 f(x,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(u,f(u,f(w,f(x,x)))))))))) = f(x,x). [back_rewrite(18886),rewrite(28082(3),28082(4),28082(7),28082(10),28082(11),28082(14),28082(16),28082(17),28082(21))]. given #1607 (F,wt=19): 40126 f(f(x,f(y,x)),f(x,f(z,f(y,f(u,f(y,x)))))) = x. [para(29797(a,1),33278(a,1,2,2)),rewrite(28082(1),28082(5),28082(6),28082(8))]. given #1608 (F,wt=19): 40491 f(x,f(f(y,z),f(c_0,f(f(x,y),f(y,u))))) = f(x,y). [para(36585(a,1),29825(a,1,2)),rewrite(28082(5))]. given #1609 (T,wt=19): 40615 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(y,y)))) = c_0. [para(28173(a,1),29867(a,1,2,2)),rewrite(28082(7),28082(9))]. given #1610 (T,wt=19): 40620 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(x,x)))) = c_0. [para(28123(a,1),29867(a,1,2,2)),rewrite(28082(9))]. given #1611 (A,wt=59): 28401 f(f(x,f(y,y)),f(f(y,y),f(f(f(y,y),f(f(z,f(y,y)),f(f(x,f(y,y)),f(z,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))) = f(y,y). [back_rewrite(18759),rewrite(28082(5),28082(7),28082(9),28082(13),28082(16),28082(17),28082(20),28082(22),28082(23))]. given #1612 (F,wt=19): 40624 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,f(x,x)))) = c_0. [para(29366(a,1),29867(a,1,2,2)),rewrite(28082(9))]. given #1613 (F,wt=19): 40681 f(f(x,f(y,f(z,u))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(36585(a,1),29881(a,1,2,2)),rewrite(28082(5))]. given #1614 (T,wt=19): 40847 f(f(x,f(y,f(z,z))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(28180(a,1),29902(a,1,2,2))]. given #1615 (T,wt=19): 40869 f(f(x,f(y,f(z,z))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(36585(a,1),29902(a,1,2,2)),rewrite(28082(5))]. given #1616 (A,wt=29): 28428 f(x,f(f(y,f(c_0,f(x,z))),f(f(u,f(x,z)),f(f(x,z),f(y,f(x,y)))))) = f(x,z). [back_rewrite(18589),rewrite(28082(2),28082(4),28082(6),28082(8),28082(10),28082(11),28389(11),28082(2),28082(4),28082(7),28082(8),28082(9),28082(11),28082(14))]. Low Water (keep): wt=29, part=0.52, limit=29 given #1617 (F,wt=19): 40940 f(f(x,f(x,f(y,f(z,u)))),f(x,f(y,f(u,u)))) = x. [para(36547(a,1),29952(a,1,2,2))]. given #1618 (F,wt=19): 41005 f(f(x,y),f(x,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = x. [para(29418(a,1),29962(a,1,1)),rewrite(14500(7,R),28082(5),14874(5),28082(6))]. given #1619 (T,wt=19): 41131 f(f(x,y),f(y,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = y. [para(29297(a,1),29966(a,1,1)),rewrite(14500(5,R),28082(5))]. given #1620 (T,wt=19): 41145 f(x,f(f(x,f(x,y)),f(c_0,f(z,f(y,y))))) = f(x,x). [para(29966(a,1),29204(a,1,2)),flip(a)]. given #1621 (A,wt=45): 28453 f(f(x,f(y,y)),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(c_0,f(f(u,f(y,y)),f(f(y,y),f(v,f(y,y)))))))) = f(y,y). [back_rewrite(18382),rewrite(28082(5),28082(6),28082(9),28082(16),28082(17))]. given #1622 (F,wt=19): 41505 f(f(x,y),f(y,f(z,f(c_0,f(u,f(u,f(x,y))))))) = y. [para(22(a,1),30005(a,1,2,1)),rewrite(28082(4),22(12))]. given #1623 (F,wt=19): 41506 f(f(x,y),f(x,f(z,f(c_0,f(u,f(u,f(x,y))))))) = x. [para(16188(a,1),30005(a,1,2,1)),rewrite(28082(4),16188(13))]. given #1624 (T,wt=19): 41708 f(f(x,y),f(y,f(z,f(z,f(u,f(c_0,f(x,y))))))) = y. [para(22(a,1),30025(a,1,2,1)),rewrite(14500(4,R),28082(4),22(12))]. given #1625 (T,wt=19): 41709 f(f(x,y),f(x,f(z,f(z,f(u,f(c_0,f(x,y))))))) = x. [para(16188(a,1),30025(a,1,2,1)),rewrite(14500(4,R),28082(4),16188(13))]. given #1626 (A,wt=41): 28454 f(x,f(c_0,f(f(f(x,x),f(y,f(x,x))),f(f(x,z),f(f(u,f(x,x)),f(f(x,x),f(z,f(z,f(v,f(x,x)))))))))) = f(x,x). [back_rewrite(18381),rewrite(28082(8),28082(9),28082(12),28082(14),28082(15))]. given #1627 (F,wt=19): 42009 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(c_0,f(x,u))))) = c_0. [para(36585(a,1),30114(a,1,2,2))]. given #1628 (F,wt=19): 42144 f(f(c_0,f(x,f(y,y))),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(29174(a,1),30121(a,1,2,2,2,2)),rewrite(14500(8),28082(10))]. given #1629 (T,wt=19): 42327 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(c_0,f(x,u))))) = c_0. [para(36585(a,1),30130(a,1,2,2))]. given #1630 (T,wt=19): 42337 f(f(c_0,f(x,f(y,y))),f(f(z,f(x,x)),f(u,y))) = c_0. [para(28174(a,1),30133(a,1,2,2)),rewrite(28082(9))]. given #1631 (A,wt=47): 28463 f(f(x,y),f(f(z,f(y,y)),f(f(y,f(z,f(z,f(x,y)))),f(f(u,f(y,y)),f(f(y,f(u,f(u,f(y,v)))),f(c_0,f(f(y,w),f(y,v6)))))))) = y. [back_rewrite(18311),rewrite(28082(3),28082(4),28082(5),28082(7),28082(9),28082(11),28082(13),28082(16))]. given #1632 (F,wt=19): 42375 f(f(c_0,f(x,f(y,y))),f(f(z,f(x,x)),f(y,u))) = c_0. [para(28174(a,1),30134(a,1,2,2)),rewrite(28082(9))]. given #1633 (F,wt=19): 42642 f(f(x,f(y,f(x,f(x,f(z,z))))),f(x,f(z,u))) = x. [para(30205(a,1),28082(a,1)),rewrite(28082(6)),flip(a)]. given #1634 (T,wt=19): 43065 f(f(x,y),f(x,f(z,f(c_0,f(x,f(c_0,f(y,u))))))) = x. [para(36585(a,1),30212(a,1,2,2)),rewrite(28082(6),28082(8),36952(8))]. given #1635 (T,wt=19): 43279 f(f(x,f(y,z)),f(x,f(f(y,y),f(c_0,f(x,u))))) = x. [para(36585(a,1),30224(a,1,2,2)),rewrite(28082(5))]. Low Water (displace): id=47626, wt=43 given #1636 (A,wt=45): 28470 f(f(f(x,x),f(y,f(x,x))),f(c_0,f(f(y,f(x,x)),f(f(x,z),f(f(u,f(x,x)),f(f(x,x),f(z,f(z,f(v,f(x,x)))))))))) = f(x,x). [back_rewrite(18296),rewrite(28082(3),28082(7),28082(10),28082(11),28082(14),28082(16),28082(17))]. given #1637 (F,wt=19): 43281 f(f(x,f(y,z)),f(x,f(u,f(c_0,f(x,f(y,y)))))) = x. [para(36586(a,2),30224(a,1,2,2)),rewrite(28082(5))]. given #1638 (F,wt=19): 43529 f(f(x,y),f(y,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = y. [para(29528(a,1),30227(a,1,2,2)),rewrite(29528(10),14500(10,R),28082(7),28082(9),29528(20))]. given #1639 (T,wt=19): 43572 f(f(x,f(y,x)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = x. [para(29514(a,1),43453(a,1,2,2)),rewrite(28082(6),28082(9))]. given #1640 (T,wt=19): 43783 f(x,f(f(y,z),f(c_0,f(f(x,z),f(z,u))))) = f(x,z). [para(36586(a,2),30299(a,1,2)),rewrite(28082(5))]. given #1641 (A,wt=31): 28471 f(f(x,y),f(f(z,f(y,y)),f(f(y,f(z,f(z,f(x,y)))),f(c_0,f(f(y,u),f(y,v)))))) = y. [back_rewrite(18294),rewrite(28082(3),28082(4),28082(5),28082(7))]. given #1642 (F,wt=19): 43786 f(x,f(f(y,z),f(c_0,f(f(x,y),f(u,y))))) = f(x,y). [para(36546(a,2),30299(a,1,2)),rewrite(14500(7,R),28082(5),28082(11),36952(14),38419(14),28082(5))]. given #1643 (F,wt=19): 44199 f(x,f(c_0,f(y,f(y,f(z,f(x,f(u,f(x,y)))))))) = c_0. [para(30403(a,1),36585(a,1)),rewrite(28082(3)),flip(a)]. Low Water (displace): id=48486, wt=41 given #1644 (T,wt=19): 44202 f(x,f(c_0,f(y,f(x,f(z,f(y,f(u,f(x,y)))))))) = c_0. [para(30403(a,1),36586(a,2))]. given #1645 (T,wt=19): 44205 f(x,f(c_0,f(y,f(y,f(z,f(x,f(u,f(y,x)))))))) = c_0. [para(30403(a,1),36616(a,2)),rewrite(14500(16,R),28082(14),14874(14),36952(14),38419(14))]. given #1646 (A,wt=33): 28481 f(f(x,y),f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(c_0,f(f(x,u),f(x,f(x,v))))))) = x. [back_rewrite(18218),rewrite(28082(3),28082(5),28082(7),28082(11),28082(12))]. given #1647 (F,wt=19): 44350 f(f(x,f(y,z)),f(x,f(f(z,z),f(c_0,f(x,u))))) = x. [para(36585(a,1),30479(a,1,2,2)),rewrite(28082(5))]. given #1648 (F,wt=19): 44353 f(f(x,f(y,z)),f(x,f(u,f(c_0,f(x,f(z,z)))))) = x. [para(36586(a,2),30479(a,1,2,2)),rewrite(28082(5))]. given #1649 (T,wt=19): 44598 f(x,f(c_0,f(y,f(y,f(z,f(y,f(u,f(x,y)))))))) = c_0. [para(30764(a,1),36585(a,1)),rewrite(28082(3)),flip(a)]. given #1650 (T,wt=19): 44601 f(x,f(c_0,f(y,f(x,f(z,f(x,f(u,f(x,y)))))))) = c_0. [para(30764(a,1),36586(a,2))]. given #1651 (A,wt=35): 28485 f(x,f(f(x,y),f(c_0,f(f(x,z),f(f(u,f(x,x)),f(f(x,x),f(z,f(z,f(v,f(x,x)))))))))) = f(x,x). [back_rewrite(18165),rewrite(28082(5),28082(6),28082(9),28082(11),28082(12))]. given #1652 (F,wt=19): 44603 f(x,f(c_0,f(y,f(y,f(z,f(y,f(u,f(y,x)))))))) = c_0. [para(30764(a,1),36616(a,2)),rewrite(14500(16,R),28082(14),14874(14),36952(14),38419(14))]. given #1653 (F,wt=19): 44834 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(x,u))))))) = c_0. [para(30781(a,1),36585(a,1)),flip(a)]. given #1654 (T,wt=19): 44835 f(x,f(c_0,f(f(y,y),f(x,f(z,f(x,f(y,u))))))) = c_0. [para(30781(a,1),36586(a,2))]. Low Water (displace): id=49311, wt=39 given #1655 (T,wt=19): 44865 f(f(c_0,f(x,f(y,z))),f(f(y,z),f(u,f(x,x)))) = c_0. [para(29644(a,1),30784(a,1,1,2)),rewrite(28082(7),28082(9))]. given #1656 (A,wt=43): 28505 f(f(x,f(y,y)),f(f(y,y),f(f(z,f(y,y)),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(x,f(y,y)))))))))) = f(y,y). [back_rewrite(18123),rewrite(28082(6),28082(7),28082(10),28082(12),28082(13),28082(16),28082(17))]. given #1657 (F,wt=19): 44874 f(f(x,f(y,f(x,f(z,f(u,u))))),f(c_0,f(u,x))) = c_0. [para(30784(a,1),29343(a,1,2,2)),rewrite(14873(4),28082(8)),flip(a)]. given #1658 (F,wt=19): 44888 f(x,f(c_0,f(y,f(y,f(z,f(y,f(u,f(x,x)))))))) = c_0. [para(30784(a,1),36585(a,1)),flip(a)]. given #1659 (T,wt=19): 44890 f(x,f(c_0,f(y,f(x,f(z,f(x,f(u,f(y,y)))))))) = c_0. [para(30784(a,1),36586(a,2))]. given #1660 (T,wt=19): 45109 f(f(x,y),f(y,f(z,f(c_0,f(y,f(c_0,f(x,u))))))) = y. [para(29886(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),29886(17))]. given #1661 (A,wt=35): 28538 f(f(x,f(y,z)),f(c_0,f(f(u,f(y,z)),f(f(y,z),f(f(z,z),f(f(x,f(y,z)),f(z,z))))))) = f(y,z). [back_rewrite(17704),rewrite(28082(6),28082(11),28082(13),28082(14))]. given #1662 (F,wt=19): 45138 f(f(x,y),f(x,f(z,f(c_0,f(y,f(c_0,f(x,u))))))) = x. [para(33274(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),33274(17))]. given #1663 (F,wt=19): 45140 f(f(x,y),f(y,f(z,f(c_0,f(x,f(c_0,f(y,u))))))) = y. [para(33278(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),33278(17))]. given #1664 (T,wt=19): 45282 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(y,f(u,x))))))) = c_0. [para(31011(a,1),29858(a,1,1)),rewrite(28082(10),28082(12),38220(14),28082(10),36952(10))]. given #1665 (T,wt=19): 45369 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(c_0,f(u,z))))) = c_0. [para(31013(a,1),28142(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(11),28082(13),36952(13),29204(11))]. given #1666 (A,wt=57): 28539 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(f(z,z),f(f(x,f(y,z)),f(z,z)))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17701),rewrite(28082(6),28082(11),28082(15),28082(17),28082(18),28082(21),28082(23),28082(24))]. given #1667 (F,wt=19): 45775 f(f(x,f(y,f(z,x))),f(x,f(u,f(x,f(z,x))))) = x. [para(17394(a,1),31180(a,1,2,1)),rewrite(17394(4),28082(2),28082(6),17394(12))]. given #1668 (F,wt=19): 46026 f(f(x,y),f(x,f(z,f(x,f(x,f(c_0,f(u,y))))))) = x. [para(29506(a,1),31182(a,1,2,2)),rewrite(28082(9))]. given #1669 (T,wt=19): 46063 f(f(x,f(y,f(x,z))),f(x,f(u,f(u,f(x,z))))) = x. [para(31184(a,1),28082(a,1)),flip(a)]. given #1670 (T,wt=19): 46071 f(f(x,y),f(x,f(z,f(z,f(x,f(c_0,f(y,u))))))) = x. [para(29367(a,1),31184(a,1,2,2)),rewrite(28082(9))]. given #1671 (A,wt=57): 28540 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(f(v,f(y,z)),f(f(y,z),f(f(z,z),f(f(z,z),f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17700),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(18),28082(21),28082(23),28082(24))]. given #1672 (F,wt=19): 46072 f(f(x,y),f(x,f(z,f(z,f(x,f(c_0,f(u,y))))))) = x. [para(29506(a,1),31184(a,1,2,2)),rewrite(28082(9))]. given #1673 (F,wt=19): 46093 f(x,f(f(y,x),f(z,f(f(y,x),f(y,u))))) = f(y,x). [para(31178(a,1),31184(a,1,1,2,2)),rewrite(17394(4))]. Low Water (displace): id=50506, wt=37 given #1674 (T,wt=19): 46114 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(x,x)))))))) = c_0. [para(31184(a,1),28303(a,1,2,2,2)),rewrite(28082(7))]. given #1675 (T,wt=19): 46115 f(f(x,x),f(c_0,f(y,f(y,f(z,f(z,f(x,y))))))) = c_0. [para(31184(a,1),28306(a,1,2,2,2)),rewrite(28082(3),28082(7))]. given #1676 (A,wt=47): 28541 f(x,f(c_0,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(u,f(u,f(w,f(x,x))))))))))) = c_0. [back_rewrite(17699),rewrite(28082(4),28082(5),28082(8),28082(11),28082(12),28082(15),28082(17),28082(18))]. given #1677 (F,wt=19): 46177 f(f(x,f(y,f(y,f(x,f(z,z))))),f(x,f(z,u))) = x. [para(30615(a,1),31184(a,1,2))]. given #1678 (F,wt=19): 46272 f(f(x,f(y,f(x,f(z,u)))),f(x,f(x,f(u,u)))) = x. [para(36547(a,1),31186(a,1,2,2))]. given #1679 (T,wt=19): 46377 f(f(x,f(y,f(x,z))),f(c_0,f(x,f(c_0,f(u,z))))) = c_0. [para(31191(a,1),28142(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(11),28082(13),36952(13),29204(11))]. given #1680 (T,wt=19): 46429 f(f(x,f(y,f(x,f(x,z)))),f(x,f(u,f(z,z)))) = x. [para(31195(a,1),28082(a,1)),flip(a)]. given #1681 (A,wt=57): 28548 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(c_0,f(f(v,f(x,y)),f(f(x,y),f(f(y,y),f(f(y,y),f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(17661),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(16),28082(19),28082(21),28082(22),28082(29))]. given #1682 (F,wt=19): 46430 f(f(x,f(y,f(z,z))),f(x,f(u,f(x,f(z,x))))) = x. [para(28082(a,1),31195(a,1,1)),rewrite(28082(3),28082(4))]. given #1683 (F,wt=19): 46943 f(f(c_0,f(f(x,x),f(y,z))),f(f(x,u),f(y,z))) = c_0. [para(29203(a,1),31269(a,1,2,2,2,2)),rewrite(14553(9),28082(7),28082(8))]. given #1684 (T,wt=19): 47122 f(x,f(y,f(c_0,f(z,f(x,f(x,f(y,y))))))) = f(x,x). [para(31371(a,1),29723(a,1,2)),flip(a)]. Low Water (displace): id=51634, wt=35 given #1685 (T,wt=19): 47146 f(f(x,x),f(f(y,x),f(z,f(x,x)))) = f(z,f(x,x)). [para(31372(a,1),19216(a,1,2,2)),rewrite(38012(8),28082(6),14500(6),28082(6),38012(13))]. given #1686 (A,wt=41): 28549 f(x,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(c_0,f(f(u,f(x,x)),f(f(x,x),f(v,f(x,x)))))))) = f(x,x). [back_rewrite(17621),rewrite(28082(3),28082(4),28082(7),28082(14),28082(15),28082(19))]. given #1687 (F,wt=19): 47200 f(x,f(f(y,x),f(z,f(z,f(u,f(x,x)))))) = f(y,x). [para(31372(a,1),31184(a,1,2)),rewrite(38012(8),28082(7))]. given #1688 (F,wt=19): 47308 f(x,f(c_0,f(f(x,f(y,f(y,f(x,z)))),f(z,z)))) = c_0. [para(31184(a,1),31797(a,1,1))]. given #1689 (T,wt=19): 47638 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(u,f(z,x))))) = c_0. [para(28173(a,1),32222(a,1,2,2,2,2)),rewrite(28082(3),28082(5))]. given #1690 (T,wt=19): 47923 f(f(x,f(y,z)),f(x,f(x,f(z,f(u,f(y,y)))))) = x. [para(28173(a,1),32271(a,1,2,2)),rewrite(28082(3),28082(6),28082(8))]. given #1691 (A,wt=37): 28554 f(f(x,f(y,y)),f(c_0,f(f(y,y),f(f(y,z),f(f(u,f(y,y)),f(f(y,y),f(z,f(z,f(x,f(y,y)))))))))) = c_0. [back_rewrite(17591),rewrite(28082(5),28082(6),28082(9),28082(11),28082(12),28082(18))]. given #1692 (F,wt=19): 48018 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(y,f(u,z))))) = c_0. [para(22(a,1),32320(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(9))]. given #1693 (F,wt=19): 48026 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(u,f(y,y)))))) = c_0. [para(28173(a,1),32320(a,1,2,2)),rewrite(28082(4),28082(7),28082(9))]. given #1694 (T,wt=19): 48052 f(f(x,f(y,f(z,u))),f(c_0,f(z,f(c_0,f(u,x))))) = c_0. [para(36585(a,1),32320(a,1,1,2)),rewrite(28082(9),28082(10),14874(12),28082(10))]. given #1695 (T,wt=19): 48054 f(f(x,f(y,f(z,f(u,f(x,x))))),f(c_0,f(z,x))) = c_0. [para(36616(a,1),32320(a,1,1,2)),rewrite(28082(9),14874(11),28082(9))]. given #1696 (A,wt=55): 28555 f(f(x,f(y,y)),f(c_0,f(f(y,y),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))))) = c_0. [back_rewrite(17589),rewrite(28082(5),28082(6),28082(9),28082(12),28082(13),28082(16),28082(18),28082(19),28082(27))]. given #1697 (F,wt=19): 49442 f(f(x,f(y,f(z,x))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(33366(a,1),28142(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(8),28082(11),28082(13),36952(13),28180(11))]. given #1698 (F,wt=19): 49867 f(x,f(f(y,f(x,z)),f(x,f(x,z)))) = f(x,f(x,z)). [para(34775(a,1),29544(a,1,2,2)),rewrite(28082(9),16188(9),28082(6))]. given #1699 (T,wt=19): 50010 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,y)))) = c_0. [para(28082(a,1),34835(a,1,1,2)),rewrite(28082(4),28082(7))]. given #1700 (T,wt=19): 50101 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(c_0,f(u,y))))) = c_0. [para(34956(a,1),36586(a,2)),rewrite(28082(8))]. given #1701 (A,wt=57): 28559 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(f(y,y),f(f(y,y),f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17543),rewrite(28082(6),28082(8),28082(11),28082(15),28082(17),28082(18),28082(21),28082(23),28082(24))]. given #1702 (F,wt=19): 50126 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(c_0,f(u,x))))) = c_0. [para(22(a,1),34975(a,1,2,1)),rewrite(14500(4,R),28082(4),28082(6),28082(10))]. given #1703 (F,wt=19): 50162 f(f(x,x),f(c_0,f(f(y,y),f(f(y,z),f(x,u))))) = c_0. [para(34975(a,1),38026(a,2)),rewrite(14500(20,R),28082(16),14874(16),28082(14),36952(17),38419(17))]. given #1704 (T,wt=19): 50181 f(f(x,y),f(x,f(f(z,y),f(y,u)))) = f(c_0,f(x,y)). [para(29935(a,1),28083(a,1,2,2)),rewrite(28082(6),29935(13))]. given #1705 (T,wt=19): 50280 f(x,f(c_0,f(y,f(x,f(z,f(y,f(u,f(y,x)))))))) = c_0. [para(35035(a,1),36616(a,2)),rewrite(14500(16,R),28082(14),14874(14),36952(14),38419(14))]. given #1706 (A,wt=57): 28560 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(f(v,f(y,z)),f(f(y,z),f(f(y,y),f(f(y,y),f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17542),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(18),28082(21),28082(23),28082(24))]. given #1707 (F,wt=19): 50367 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(c_0,f(u,z))))))) = c_0. [para(38004(a,1),35138(a,1,2,2,2,2,2,2)),rewrite(14874(10),28082(7))]. given #1708 (F,wt=19): 50438 f(f(x,y),f(y,f(z,f(c_0,f(u,f(z,f(x,y))))))) = y. [para(22(a,1),35161(a,1,2,1)),rewrite(28082(4),22(12))]. Low Water (displace): id=53893, wt=33 given #1709 (T,wt=19): 50439 f(f(x,y),f(x,f(z,f(c_0,f(u,f(z,f(x,y))))))) = x. [para(16188(a,1),35161(a,1,2,1)),rewrite(28082(4),16188(13))]. given #1710 (T,wt=19): 50541 f(x,f(f(x,y),f(f(x,z),f(c_0,f(u,z))))) = f(x,y). [para(38004(a,1),35161(a,1,2,2,2,2)),rewrite(14874(9),28082(6))]. given #1711 (A,wt=57): 28561 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(c_0,f(f(v,f(x,y)),f(f(x,y),f(f(x,x),f(f(x,x),f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(17528),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(16),28082(19),28082(21),28082(22),28082(29))]. given #1712 (F,wt=19): 50699 f(f(f(x,y),f(x,z)),f(x,f(f(x,z),f(y,y)))) = c_0. [para(38026(a,1),28096(a,1,2,2)),rewrite(28082(3),28082(6),28082(7),28082(8))]. given #1713 (F,wt=17): 60525 f(f(c_0,f(x,y)),f(x,f(f(x,z),f(y,y)))) = c_0. [para(50699(a,1),35992(a,1,2,2,2)),rewrite(14500(3,R),28082(3),28082(10),14874(11))]. given #1714 (T,wt=19): 50716 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,z)))))))) = c_0. [para(36585(a,1),35257(a,1,2,2)),rewrite(28082(3))]. given #1715 (T,wt=19): 50723 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(u,f(y,y)))))) = c_0. [para(35260(a,1),28174(a,1)),flip(a)]. given #1716 (A,wt=45): 28566 f(f(x,f(y,y)),f(c_0,f(f(f(y,y),f(x,f(y,y))),f(f(y,z),f(f(u,f(y,y)),f(f(y,y),f(z,f(z,f(v,f(y,y)))))))))) = f(y,y). [back_rewrite(17438),rewrite(28082(6),28082(10),28082(11),28082(14),28082(17))]. given #1717 (F,wt=19): 50737 f(f(x,y),f(y,f(z,f(f(x,y),f(u,f(z,z)))))) = y. [para(22(a,1),35264(a,1,2,1)),rewrite(22(11))]. given #1718 (F,wt=19): 50738 f(f(x,y),f(x,f(z,f(f(x,y),f(u,f(z,z)))))) = x. [para(16188(a,1),35264(a,1,2,1)),rewrite(16188(12))]. given #1719 (T,wt=19): 50874 f(x,f(c_0,f(f(y,x),f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(35268(a,1),29343(a,1,2,2)),rewrite(28082(10),8394(10),28082(3)),flip(a)]. given #1720 (T,wt=19): 51029 f(x,f(c_0,f(f(y,x),f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(35269(a,1),29343(a,1,2,2)),rewrite(28082(10),8394(10),28082(3)),flip(a)]. given #1721 (A,wt=47): 28595 f(f(x,f(y,f(f(y,z),f(y,u)))),f(c_0,f(y,f(f(y,f(f(y,z),f(y,u))),f(x,f(c_0,f(f(y,z),f(y,u)))))))) = f(y,f(f(y,z),f(y,u))). [back_rewrite(27991),rewrite(28082(16),28082(18))]. given #1722 (F,wt=19): 51060 f(x,f(c_0,f(f(y,f(z,u)),f(x,f(y,f(u,u)))))) = c_0. [para(36547(a,1),35271(a,1,2,2,2,2))]. given #1723 (F,wt=19): 51250 f(f(x,y),f(y,f(f(z,f(x,y)),f(c_0,f(z,u))))) = y. [para(22(a,1),35300(a,1,2,1)),rewrite(28082(3),22(12))]. given #1724 (T,wt=19): 51251 f(f(x,y),f(x,f(f(z,f(x,y)),f(c_0,f(z,u))))) = x. [para(16188(a,1),35300(a,1,2,1)),rewrite(28082(3),16188(13))]. Low Water (displace): id=54902, wt=31 given #1725 (T,wt=19): 51430 f(x,f(c_0,f(f(y,y),f(c_0,f(z,f(x,f(y,u))))))) = c_0. [para(36585(a,1),35311(a,1,2,2))]. given #1726 (A,wt=47): 28596 f(f(x,f(y,f(f(y,z),f(y,u)))),f(c_0,f(y,f(f(x,f(y,f(f(y,z),f(y,u)))),f(c_0,f(f(y,z),f(y,u))))))) = f(y,f(f(y,z),f(y,u))). [back_rewrite(27990),rewrite(28082(16),28082(17),28082(18))]. given #1727 (F,wt=19): 51463 f(x,f(c_0,f(f(y,y),f(f(y,z),f(u,f(x,x)))))) = c_0. [para(35354(a,1),28174(a,1)),rewrite(28082(7)),flip(a)]. given #1728 (F,wt=19): 51534 f(f(x,y),f(y,f(f(z,z),f(f(x,y),f(z,u))))) = y. [para(22(a,1),35358(a,1,2,1)),rewrite(22(11))]. given #1729 (T,wt=19): 51535 f(f(x,y),f(x,f(f(z,z),f(f(x,y),f(z,u))))) = x. [para(16188(a,1),35358(a,1,2,1)),rewrite(16188(12))]. given #1730 (T,wt=19): 51711 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(z,z)))) = c_0. [para(31184(a,1),35375(a,1,2,2,2)),rewrite(28082(7))]. Low Water (keep): wt=27, part=0.50, limit=27 given #1731 (A,wt=47): 28597 f(f(x,f(c_0,f(f(y,z),f(y,u)))),f(c_0,f(y,f(f(y,f(f(y,z),f(y,u))),f(x,f(y,f(f(y,z),f(y,u)))))))) = f(y,f(f(y,z),f(y,u))). [back_rewrite(27989),rewrite(28082(16),28082(18))]. given #1732 (F,wt=19): 51727 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(x,z))) = c_0. [para(31184(a,1),35378(a,1,2,2,2)),rewrite(28082(7))]. given #1733 (F,wt=19): 51736 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(u,f(y,y)))))) = c_0. [para(28173(a,1),35391(a,1,2,2,2,2)),rewrite(28082(4),28082(5),28082(7))]. given #1734 (T,wt=19): 51780 f(x,f(c_0,f(f(y,y),f(f(z,f(x,x)),f(u,y))))) = c_0. [para(35397(a,1),28174(a,1)),rewrite(28082(8)),flip(a)]. given #1735 (T,wt=19): 51850 f(x,f(c_0,f(f(y,f(z,f(y,u))),f(x,f(y,u))))) = c_0. [para(35399(a,1),29343(a,1,2,2)),rewrite(28082(1),14873(7),28082(3),28082(5),28082(8)),flip(a)]. given #1736 (A,wt=43): 28598 f(f(x,f(c_0,f(f(y,z),f(y,u)))),f(f(x,f(y,f(f(y,z),f(y,u)))),f(c_0,f(f(y,z),f(y,u))))) = f(c_0,f(f(y,z),f(y,u))). [back_rewrite(27988),rewrite(28082(16),28082(17))]. given #1737 (F,wt=19): 51979 f(f(x,y),f(y,f(f(z,z),f(f(x,y),f(u,z))))) = y. [para(22(a,1),35402(a,1,2,1)),rewrite(28082(6),22(11))]. given #1738 (F,wt=19): 51980 f(f(x,y),f(c_0,f(f(z,z),f(f(x,y),f(u,z))))) = c_0. [para(14783(a,1),35402(a,1,2,1)),rewrite(28082(7),14783(14))]. given #1739 (T,wt=19): 51981 f(f(x,y),f(x,f(f(z,z),f(f(x,y),f(u,z))))) = x. [para(16188(a,1),35402(a,1,2,1)),rewrite(28082(6),16188(12))]. given #1740 (T,wt=19): 52220 f(x,f(c_0,f(f(x,f(y,f(x,z))),f(c_0,f(z,u))))) = c_0. [para(36585(a,1),35532(a,1,2,2))]. given #1741 (A,wt=35): 28601 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(c_0,f(y,f(f(y,z),f(u,f(y,z)))))))) = f(y,z). [back_rewrite(27983),rewrite(28082(6),28082(16),28082(18),14534(20))]. given #1742 (F,wt=19): 52416 f(x,f(c_0,f(f(y,f(z,f(x,y))),f(c_0,f(y,u))))) = c_0. [para(36585(a,1),35943(a,1,2,2))]. given #1743 (F,wt=19): 52418 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(x,y)))))))) = c_0. [para(36586(a,2),35943(a,1,2,2)),rewrite(28082(6))]. given #1744 (T,wt=19): 52423 f(f(x,y),f(y,f(z,f(z,f(u,f(z,f(x,y))))))) = y. [para(22(a,1),35963(a,1,2,1)),rewrite(28082(3),22(11))]. given #1745 (T,wt=19): 52424 f(f(x,y),f(x,f(z,f(z,f(u,f(z,f(x,y))))))) = x. [para(16188(a,1),35963(a,1,2,1)),rewrite(28082(3),16188(12))]. given #1746 (A,wt=41): 28605 f(f(c_0,f(x,f(x,f(c_0,f(y,f(f(y,z),f(u,f(y,z)))))))),f(f(y,z),f(v,f(c_0,f(y,f(f(y,z),f(u,f(y,z)))))))) = c_0. [back_rewrite(27970),rewrite(28082(4),28082(6),28082(10),28082(15),28082(17),28082(19),28082(22))]. given #1747 (F,wt=19): 52550 f(f(x,x),f(c_0,f(y,f(f(x,z),f(u,f(y,y)))))) = c_0. [para(35151(a,1),35992(a,1,2,2,2)),rewrite(28082(11),14874(11))]. given #1748 (F,wt=19): 52551 f(f(x,x),f(c_0,f(f(y,y),f(f(x,z),f(y,u))))) = c_0. [para(35256(a,1),35992(a,1,2,2,2)),rewrite(28082(11),14874(11))]. given #1749 (T,wt=19): 52552 f(f(x,x),f(c_0,f(f(y,y),f(f(x,z),f(u,y))))) = c_0. [para(35277(a,1),35992(a,1,2,2,2)),rewrite(28082(8),28082(11),14874(11))]. given #1750 (T,wt=19): 52692 f(f(x,f(x,y)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(14530(a,1),36605(a,1,2,2)),rewrite(28082(13),36952(13),14530(11))]. given #1751 (A,wt=27): 28625 f(f(c_0,f(x,f(x,f(y,f(x,f(z,x)))))),f(f(u,f(z,x)),f(v,f(z,x)))) = c_0. [back_rewrite(27799),rewrite(28082(9),28082(13))]. given #1752 (F,wt=19): 52882 f(f(x,f(y,x)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(36605(a,2),36585(a,2)),rewrite(28082(5)),flip(a)]. given #1753 (F,wt=19): 52896 f(f(x,f(y,f(c_0,f(z,x)))),f(x,f(c_0,f(z,y)))) = x. [para(36605(a,2),29528(a,1,1)),rewrite(52692(6),28082(10))]. given #1754 (T,wt=19): 52911 f(f(x,f(x,y)),f(c_0,f(z,x))) = f(y,f(c_0,f(z,x))). [para(36605(a,2),29825(a,2)),rewrite(28082(8),28082(12),40492(16),28082(8)),flip(a)]. given #1755 (T,wt=19): 53023 f(f(x,f(y,f(z,u))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [para(36605(a,2),32320(a,1,1,2)),rewrite(52692(7),28082(10),14874(12),28082(10))]. given #1756 (A,wt=27): 28626 f(f(c_0,f(x,f(x,f(y,f(x,f(x,z)))))),f(f(u,f(x,z)),f(v,f(x,z)))) = c_0. [back_rewrite(27794),rewrite(28082(2),28082(4),28082(8),28082(10))]. given #1757 (F,wt=19): 53067 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,y)))))))) = c_0. [para(36605(a,2),35257(a,1,2,2)),rewrite(52692(10))]. given #1758 (F,wt=19): 53228 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(u,f(y,x)))))))) = c_0. [back_rewrite(49217),rewrite(52805(21),52692(12))]. given #1759 (T,wt=19): 53269 f(x,f(c_0,f(f(y,f(z,f(y,x))),f(c_0,f(y,u))))) = c_0. [back_rewrite(35145),rewrite(52835(12))]. given #1760 (T,wt=19): 53353 f(x,f(c_0,f(y,f(z,f(c_0,f(u,f(x,y))))))) = f(x,y). [para(28180(a,1),53165(a,1,2,2,2)),rewrite(28082(3),28082(4),28082(10))]. given #1761 (A,wt=35): 28659 f(f(x,f(x,f(f(x,y),f(x,z)))),f(f(x,u),f(c_0,f(f(x,y),f(x,z))))) = f(x,f(f(x,y),f(x,z))). [back_rewrite(27353),rewrite(28082(12))]. given #1762 (F,wt=19): 53521 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(28180(a,1),53229(a,1,2,2,2,2)),rewrite(28082(3),28082(4))]. given #1763 (F,wt=19): 53689 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(28180(a,1),53531(a,1,2,2,2,2)),rewrite(28082(4))]. given #1764 (T,wt=19): 54221 f(f(x,f(c_0,f(y,z))),f(y,f(y,f(c_0,f(z,x))))) = y. [para(36687(a,1),12782(a,1,2,2)),rewrite(28082(11),12782(11),28082(10),16188(10),28082(7),28082(10)),flip(a)]. given #1765 (T,wt=19): 54228 f(f(x,f(c_0,f(y,z))),f(y,f(y,f(c_0,f(x,z))))) = y. [para(36687(a,1),28082(a,1)),rewrite(28082(2),28082(6)),flip(a)]. given #1766 (A,wt=35): 28660 f(f(x,f(c_0,f(f(x,y),f(x,z)))),f(f(x,u),f(x,f(f(x,y),f(x,z))))) = f(x,f(f(x,y),f(x,z))). [back_rewrite(27352),rewrite(28082(12))]. given #1767 (F,wt=19): 54255 f(f(x,f(c_0,f(y,z))),f(y,f(z,f(c_0,f(y,x))))) = y. [para(36586(a,2),36687(a,1,1,2)),rewrite(28082(2),28082(7),28082(10))]. given #1768 (F,wt=19): 54260 f(x,f(y,f(y,f(c_0,f(z,f(x,x)))))) = f(x,f(y,y)). [para(36687(a,1),38026(a,1,2,2)),rewrite(28082(2),14500(2)),flip(a)]. given #1769 (T,wt=19): 54270 f(x,f(f(y,y),f(x,f(x,f(c_0,f(z,y)))))) = f(x,x). [para(36687(a,1),32215(a,1,2)),rewrite(28082(7),28082(8),28082(16),28082(19),54221(19),28082(10),14500(10))]. given #1770 (T,wt=19): 54331 f(x,f(c_0,f(f(y,y),f(f(z,y),f(u,f(x,x)))))) = c_0. [para(22(a,1),36851(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(7))]. given #1771 (A,wt=23): 28670 f(f(x,f(y,f(z,x))),f(f(z,x),f(y,f(z,x)))) = f(y,f(z,x)). [back_rewrite(27257),rewrite(28082(3),28082(6),28082(7),28082(8),28082(10))]. given #1772 (F,wt=15): 61561 f(x,f(f(y,f(y,x)),f(x,z))) = f(x,z). [para(29564(a,1),28670(a,1,2,2)),rewrite(28082(1),28082(4),28082(6),29204(8),28082(6),28082(8),28082(10),17394(11),28082(3),28082(5)),flip(a)]. given #1773 (F,wt=15): 61571 f(f(x,f(y,x)),f(x,f(z,f(y,y)))) = x. [para(33404(a,1),28670(a,1,2,2)),rewrite(28082(7),31178(8),28082(5),29297(5),28082(4),17394(4),28082(6)),flip(a)]. given #1774 (T,wt=17): 61565 f(x,f(f(y,x),f(z,f(c_0,f(y,u))))) = f(y,x). [para(29715(a,1),28670(a,1,2,2)),rewrite(28082(5),28082(13),28082(19),28082(20),28082(21),32096(21),14500(3,R),28082(3),53351(16),28082(2)),flip(a)]. given #1775 (T,wt=17): 61566 f(x,f(f(y,x),f(z,f(c_0,f(u,y))))) = f(y,x). [para(29716(a,1),28670(a,1,2,2)),rewrite(28082(5),28082(13),28082(19),28082(20),28082(21),32096(21),14500(3,R),28082(3),53351(16),28082(2)),flip(a)]. given #1776 (A,wt=27): 28693 f(x,f(c_0,f(f(x,f(x,y)),f(c_0,f(f(z,f(x,y)),f(u,f(x,y))))))) = f(x,y). [back_rewrite(27105),rewrite(28082(4),28082(5),28082(7),28082(8),28115(8),28082(2),28082(5),28082(6),28082(7),28082(8),28082(14))]. given #1777 (F,wt=17): 61567 f(f(x,f(y,x)),f(x,f(f(y,y),f(z,u)))) = x. [para(29957(a,1),28670(a,1,2,2)),rewrite(28082(4),31166(11),28082(9),16188(10),28082(1)),flip(a)]. given #1778 (F,wt=17): 61569 f(f(c_0,f(x,y)),f(f(z,u),f(x,x))) = f(x,y). [para(32407(a,1),28670(a,2)),rewrite(28082(7),28082(12),28082(18),60641(21))]. given #1779 (T,wt=17): 61570 f(f(c_0,f(x,y)),f(f(z,u),f(y,y))) = f(x,y). [para(32883(a,1),28670(a,2)),rewrite(28082(7),28082(12),28082(18),60641(21))]. given #1780 (T,wt=17): 61572 f(f(x,y),f(y,f(c_0,f(z,x)))) = f(c_0,f(x,y)). [para(38004(a,1),28670(a,2)),rewrite(28082(4),31212(10),28082(9),29297(16),28082(8))]. given #1781 (A,wt=23): 28694 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(c_0,f(f(y,u),f(y,v))))) = c_0. [back_rewrite(27101),rewrite(28082(2),28082(10),28082(11))]. given #1782 (F,wt=17): 61633 f(f(c_0,f(x,y)),f(x,f(f(z,u),f(y,y)))) = c_0. [para(61569(a,1),30119(a,1,2,2,2,2)),rewrite(8394(8),28082(8))]. given #1783 (F,wt=17): 61671 f(f(c_0,f(x,y)),f(y,f(f(z,u),f(x,x)))) = c_0. [para(61633(a,1),38009(a,2)),rewrite(28082(4),28082(10),8397(10),14553(8),28082(12),55393(14),28082(8))]. given #1784 (T,wt=19): 54424 f(x,f(f(y,f(z,x)),f(x,f(z,x)))) = f(x,f(z,x)). [para(28191(a,1),33454(a,1,2,2)),rewrite(28082(9),17394(9),28082(6))]. given #1785 (T,wt=19): 54431 f(f(x,f(y,f(z,x))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(36875(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(2)),flip(a)]. given #1786 (A,wt=49): 28701 f(f(x,y),f(y,f(f(f(c_0,f(x,y)),f(y,f(y,f(f(y,z),f(y,f(x,y)))))),f(c_0,f(f(u,f(c_0,f(x,y))),f(v,f(c_0,f(x,y)))))))) = f(c_0,f(x,y)). [back_rewrite(27056),rewrite(28082(2),28082(5),28082(11),28082(16),28082(20))]. given #1787 (F,wt=19): 54616 f(x,f(y,f(z,f(y,f(y,f(x,x)))))) = f(x,f(y,y)). [para(29880(a,1),54451(a,1,2,2)),rewrite(28082(4),28082(5),30222(10))]. given #1788 (F,wt=19): 54871 f(f(x,x),f(f(y,z),f(y,f(x,u)))) = f(y,f(x,x)). [para(30615(a,1),54596(a,1,2,2))]. given #1789 (T,wt=17): 61681 f(x,f(f(y,z),f(y,f(u,f(x,x))))) = f(x,y). [para(22(a,1),54871(a,1,1)),rewrite(28082(3),14500(9,R),28082(9),14553(9),28082(7))]. given #1790 (T,wt=17): 61721 f(x,f(f(y,z),f(z,f(u,f(x,x))))) = f(x,z). [para(28082(a,1),61681(a,1,2,1))]. given #1791 (A,wt=47): 28710 f(f(x,y),f(f(f(y,y),f(x,f(f(x,z),f(x,f(x,y))))),f(f(y,f(x,f(x,f(f(x,z),f(x,f(x,y)))))),f(c_0,f(f(y,u),f(y,v)))))) = y. [back_rewrite(26967),rewrite(28082(5),28082(6),28082(11),28082(12),28082(15))]. given #1792 (F,wt=19): 54918 f(f(x,x),f(f(y,z),f(z,f(x,u)))) = f(z,f(x,x)). [para(30615(a,1),54707(a,1,2,2))]. given #1793 (F,wt=19): 54940 f(f(x,f(c_0,f(y,z))),f(z,f(y,f(c_0,f(z,x))))) = z. [para(28082(a,1),36948(a,1,1)),rewrite(28082(5),28082(7),28082(10))]. given #1794 (T,wt=19): 54964 f(x,f(y,f(z,f(c_0,f(y,f(x,x)))))) = f(x,f(y,y)). [para(36948(a,1),38026(a,1,2,2)),rewrite(28082(2),14500(2)),flip(a)]. given #1795 (T,wt=19): 54967 f(x,f(f(y,y),f(x,f(z,f(c_0,f(x,y)))))) = f(x,x). [para(36948(a,1),32215(a,1,2)),rewrite(28082(7),28082(8),28082(19),54255(19),28082(10),14500(10))]. given #1796 (A,wt=37): 28719 f(f(x,f(c_0,f(f(x,y),f(x,z)))),f(c_0,f(x,f(u,f(x,f(f(x,y),f(x,z))))))) = f(x,f(f(x,y),f(x,z))). [back_rewrite(26928),rewrite(28082(12))]. given #1797 (F,wt=19): 55050 f(x,f(c_0,f(f(x,f(y,f(z,x))),f(c_0,f(z,u))))) = c_0. [para(30330(a,1),37436(a,1,2,2,2,2,2)),rewrite(28082(8),52835(12))]. given #1798 (F,wt=19): 55058 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(u,f(x,x)))))) = c_0. [para(28174(a,1),37438(a,1,2,2))]. given #1799 (T,wt=19): 55082 f(x,f(c_0,f(f(y,f(x,x)),f(z,z)))) = f(x,f(z,z)). [para(37445(a,1),28174(a,1))]. given #1800 (T,wt=19): 55094 f(x,f(c_0,f(f(x,f(y,f(x,f(z,u)))),f(u,u)))) = c_0. [para(37445(a,1),30784(a,1)),rewrite(14500(4,R),28082(4),14553(4))]. given #1801 (A,wt=29): 28722 f(f(x,f(f(x,y),f(x,z))),f(c_0,f(f(x,u),f(x,f(c_0,f(f(x,y),f(x,z))))))) = x. [back_rewrite(26907),rewrite(28082(12),28082(13))]. given #1802 (F,wt=19): 55104 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,y)))))))) = c_0. [para(37467(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(4)),flip(a)]. given #1803 (F,wt=19): 55108 f(x,f(c_0,f(y,f(y,f(z,f(x,f(u,f(y,y)))))))) = c_0. [para(28174(a,1),37467(a,1,2,2)),rewrite(28082(4))]. given #1804 (T,wt=19): 55135 f(x,f(c_0,f(f(y,f(z,f(x,u))),f(c_0,f(y,u))))) = c_0. [para(36585(a,1),37467(a,1,2,2)),rewrite(28082(2))]. given #1805 (T,wt=19): 55136 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(x,z)))))))) = c_0. [para(36586(a,2),37467(a,1,2,2)),rewrite(28082(3),28082(6))]. given #1806 (A,wt=39): 28728 f(f(c_0,f(f(x,y),f(y,z))),f(y,f(u,f(c_0,f(f(x,y),f(y,z)))))) = f(c_0,f(y,f(u,f(c_0,f(f(x,y),f(y,z)))))). [back_rewrite(26892),rewrite(28082(3),28082(8),28082(11),28082(12),28082(17),28082(20),28082(21))]. given #1807 (F,wt=19): 55278 f(x,f(f(y,z),f(x,f(y,f(c_0,f(x,z)))))) = f(x,x). [para(37767(a,1),32212(a,1,1)),rewrite(28082(7),28082(10),14500(12,R),28082(10),14874(10),28082(7),28082(16),38008(19),28082(10),14500(10))]. given #1808 (F,wt=19): 55393 f(x,f(f(y,f(x,x)),f(z,f(y,f(x,x))))) = f(x,z). [para(8397(a,1),37805(a,1,2,2)),rewrite(14553(9),28082(7),36616(13),28082(8))]. given #1809 (T,wt=19): 55439 f(f(x,f(y,x)),f(c_0,f(z,x))) = f(y,f(c_0,f(z,x))). [para(37805(a,1),32883(a,1,1,2)),rewrite(14500(13,R),28082(11),14874(11),38168(10)),flip(a)]. given #1810 (T,wt=19): 55454 f(x,f(c_0,f(y,f(x,f(z,f(x,f(u,f(y,x)))))))) = c_0. [para(37805(a,2),30764(a,1)),rewrite(28082(1),28082(4),28082(9),52692(11))]. given #1811 (A,wt=21): 28739 f(f(x,y),f(y,f(z,f(x,y)))) = f(c_0,f(y,f(z,f(x,y)))). [back_rewrite(26780),rewrite(28082(3),28082(4),28082(8),28082(9))]. given #1812 (F,wt=19): 55468 f(f(x,y),f(c_0,f(f(z,z),f(f(z,u),f(x,y))))) = c_0. [para(37805(a,2),35992(a,1)),rewrite(17394(9))]. given #1813 (F,wt=19): 55534 f(f(x,f(y,f(z,u))),f(x,f(z,f(c_0,f(u,x))))) = x. [para(28082(a,1),37855(a,1,1)),rewrite(28082(3),28082(5))]. given #1814 (T,wt=19): 55591 f(f(x,f(c_0,f(y,z))),f(z,f(y,f(c_0,f(x,z))))) = z. [para(36546(a,2),37855(a,1,1)),rewrite(14500(3,R),28082(3),28082(6),36952(9),38419(9),28082(6))]. given #1815 (T,wt=19): 55603 f(f(x,y),f(x,f(z,f(f(x,y),f(u,f(x,x)))))) = x. [para(35555(a,1),37855(a,1,2)),rewrite(14500(3),28082(8))]. given #1816 (A,wt=43): 28743 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(c_0,f(f(c_0,f(z,f(y,f(y,z)))),f(f(y,z),f(u,f(y,z)))))))) = f(y,z). [back_rewrite(26753),rewrite(28082(6),28082(16),28082(21),28082(23),14534(25))]. given #1817 (F,wt=19): 55685 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(z,x)))))))) = c_0. [para(37857(a,1),36616(a,2)),rewrite(28082(8),14500(23,R),28082(18),14874(18),36952(18),38419(18),36952(10))]. given #1818 (F,wt=19): 55722 f(f(x,y),f(c_0,f(z,u))) = f(z,f(c_0,f(u,f(x,y)))). [para(15611(a,1),37923(a,1,1)),rewrite(14500(13,R),28082(11),14874(11))]. given #1819 (T,wt=19): 55831 f(x,f(c_0,f(f(y,y),f(c_0,f(z,f(x,f(u,y))))))) = c_0. [para(37923(a,1),37438(a,1)),rewrite(14500(5,R),28082(5),14553(5),28082(8))]. given #1820 (T,wt=19): 55888 f(x,f(c_0,f(f(x,f(x,y)),f(z,f(y,y))))) = f(x,y). [para(38005(a,2),28173(a,1)),rewrite(28082(6))]. given #1821 (A,wt=35): 28745 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(c_0,f(f(z,f(y,z)),f(u,f(y,z))))))) = f(y,z). [back_rewrite(26743),rewrite(28082(6),28082(11),28082(13),28082(14),28082(17),28114(17),28082(10),14530(18))]. given #1822 (F,wt=19): 56016 f(x,f(c_0,f(y,f(x,f(x,z))))) = f(x,f(c_0,f(y,z))). [para(36586(a,2),38005(a,2)),rewrite(28082(8))]. given #1823 (F,wt=19): 56054 f(f(x,y),f(y,f(x,x))) = f(c_0,f(y,f(x,f(x,y)))). [para(38005(a,1),28133(a,1,2,2,1)),rewrite(29162(6),38009(10),14530(8))]. given #1824 (T,wt=19): 56113 f(f(x,x),f(y,f(y,f(f(y,z),f(y,f(x,y)))))) = x. [para(19010(a,1),55892(a,1,2,2))]. given #1825 (T,wt=19): 56251 f(x,f(c_0,f(y,f(z,f(c_0,f(u,f(y,x))))))) = f(y,x). [para(32099(a,1),38073(a,2)),rewrite(28082(7),14500(15,R),28082(13),14874(13),28082(13),36952(15),38026(13))]. given #1826 (A,wt=57): 28747 f(f(c_0,f(x,f(x,f(c_0,f(f(c_0,f(y,f(z,f(z,y)))),f(f(z,y),f(u,f(z,y)))))))),f(f(z,y),f(v,f(c_0,f(f(c_0,f(y,f(z,f(z,y)))),f(f(z,y),f(u,f(z,y)))))))) = c_0. [back_rewrite(26739),rewrite(28082(4),28082(9),28082(11),28082(15),28082(20),28082(25),28082(27),28082(29),28082(32))]. given #1827 (F,wt=19): 56284 f(x,f(y,f(z,f(z,f(y,f(x,x)))))) = f(x,f(y,y)). [para(31184(a,1),38073(a,1,2,2)),rewrite(28082(2),14500(2)),flip(a)]. given #1828 (F,wt=19): 56303 f(x,f(y,f(f(x,x),f(c_0,f(y,z))))) = f(x,f(y,y)). [para(36948(a,1),38073(a,1,2,2)),rewrite(28082(2),14500(2)),flip(a)]. given #1829 (T,wt=19): 56733 f(f(x,f(y,f(z,f(u,u)))),f(c_0,f(u,y))) = f(u,y). [para(28082(a,1),38294(a,1,1,2)),rewrite(28082(3),28082(6),28082(9))]. given #1830 (T,wt=19): 56737 f(x,f(c_0,f(y,f(z,f(y,f(u,f(x,x))))))) = f(y,x). [para(38294(a,1),28086(a,1,2,2,2,2)),rewrite(36952(13),38419(13),38294(16))]. given #1831 (A,wt=53): 28748 f(f(c_0,f(x,f(f(c_0,f(y,f(z,f(z,y)))),f(f(z,y),f(u,f(z,y)))))),f(f(z,y),f(v,f(c_0,f(f(c_0,f(y,f(z,f(z,y)))),f(f(z,y),f(u,f(z,y)))))))) = c_0. [back_rewrite(26723),rewrite(28082(4),28082(9),28082(11),28082(12),28082(17),28082(22),28082(24),28082(28))]. given #1832 (F,wt=19): 56772 f(x,f(c_0,f(y,f(z,f(x,f(u,f(y,y))))))) = f(x,y). [para(38294(a,1),36586(a,2))]. given #1833 (F,wt=19): 56800 f(f(x,f(y,x)),f(x,f(z,f(y,f(u,f(x,x)))))) = x. [para(38294(a,1),43453(a,1,2,2)),rewrite(28082(5),28082(8))]. given #1834 (T,wt=19): 56945 f(f(x,f(y,f(z,z))),f(f(x,z),f(x,f(y,y)))) = c_0. [para(32215(a,1),38317(a,1,2,2)),rewrite(28082(4),14874(11),28082(8))]. given #1835 (T,wt=19): 56950 f(x,f(c_0,f(f(y,f(z,f(x,u))),f(c_0,f(u,y))))) = c_0. [para(36687(a,1),38317(a,1,1)),rewrite(28082(8),28082(11),14500(13,R),28082(11),14874(11),28082(10),56016(12))]. given #1836 (A,wt=53): 28750 f(f(f(c_0,f(x,f(y,f(y,x)))),f(f(y,x),f(z,f(y,x)))),f(c_0,f(u,f(f(y,x),f(v,f(c_0,f(f(c_0,f(x,f(y,f(y,x)))),f(f(y,x),f(z,f(y,x)))))))))) = c_0. [back_rewrite(26709),rewrite(28082(5),28082(10),28082(12),28082(16),28082(17),28082(21),28082(26),28082(28),28082(29))]. given #1837 (F,wt=19): 57037 f(f(x,y),f(y,f(z,f(f(x,y),f(u,f(y,y)))))) = y. [para(29297(a,1),38324(a,1,1))]. given #1838 (F,wt=19): 57117 f(x,f(c_0,f(y,f(x,f(z,f(y,f(u,f(x,x)))))))) = c_0. [para(38325(a,1),36586(a,2))]. given #1839 (T,wt=19): 57157 f(x,f(c_0,f(f(y,f(z,f(u,u))),f(x,f(y,u))))) = c_0. [para(38401(a,1),29343(a,1,2,2)),rewrite(14873(7),28082(8)),flip(a)]. given #1840 (T,wt=19): 57305 f(x,f(c_0,f(y,f(x,f(z,x))))) = f(x,f(c_0,f(y,z))). [para(38431(a,2),29825(a,2)),rewrite(28082(8),28082(12),40492(16)),flip(a)]. given #1841 (A,wt=35): 28759 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(c_0,f(f(c_0,f(y,f(x,f(x,y)))),f(f(x,y),f(u,f(x,y))))))) = c_0. [back_rewrite(26614),rewrite(28082(4),28082(9),28082(11),28082(15),28082(19))]. given #1842 (F,wt=19): 57441 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(y,f(y,x)))))) = c_0. [para(38781(a,1),28082(a,1)),rewrite(28082(5),28082(10)),flip(a)]. given #1843 (F,wt=19): 57455 f(x,f(f(y,f(x,x)),f(f(x,y),f(c_0,f(y,z))))) = c_0. [para(36585(a,1),38781(a,1,2,2))]. given #1844 (T,wt=19): 57456 f(x,f(f(y,f(x,x)),f(y,f(c_0,f(z,f(x,y)))))) = c_0. [para(36586(a,2),38781(a,1,2,2)),rewrite(28082(5))]. given #1845 (T,wt=19): 57467 f(x,f(c_0,f(f(y,f(z,u)),f(x,f(y,f(z,z)))))) = c_0. [para(38788(a,1),29343(a,1,2,2)),rewrite(14873(6),28082(8)),flip(a)]. given #1846 (A,wt=49): 28762 f(f(f(c_0,f(x,f(y,f(y,x)))),f(f(y,x),f(z,f(y,x)))),f(f(y,x),f(u,f(c_0,f(f(c_0,f(x,f(y,f(y,x)))),f(f(y,x),f(z,f(y,x)))))))) = c_0. [back_rewrite(26592),rewrite(28082(4),28082(9),28082(11),28082(15),28082(18),28082(23),28082(25),28082(26))]. given #1847 (F,wt=19): 57501 f(f(c_0,f(f(x,x),f(y,y))),f(f(x,z),f(u,y))) = c_0. [para(34975(a,1),38847(a,1,2,2,2)),rewrite(28082(11),14874(11),28082(9))]. given #1848 (F,wt=19): 57628 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(u,f(y,x)))))) = c_0. [para(38967(a,1),28082(a,1)),rewrite(28082(3),28082(5),28082(10)),flip(a)]. given #1849 (T,wt=19): 57921 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(u,y)))) = c_0. [para(28082(a,1),39084(a,1,1,2)),rewrite(28082(4),28082(7))]. given #1850 (T,wt=19): 57986 f(x,f(f(y,z),f(c_0,f(f(y,x),f(y,u))))) = f(y,x). [para(40491(a,1),28082(a,2)),rewrite(28082(3),28082(8),28082(9))]. given #1851 (A,wt=45): 28764 f(f(x,y),f(f(c_0,f(y,f(x,f(x,y)))),f(f(x,y),f(z,f(x,y))))) = f(c_0,f(f(c_0,f(y,f(x,f(x,y)))),f(f(x,y),f(z,f(x,y))))). [back_rewrite(26567),rewrite(28082(3),28082(8),28082(10),28082(12),28082(16),28082(21),28082(23))]. given #1852 (F,wt=19): 57992 f(x,f(f(y,z),f(y,f(f(x,y),f(y,u))))) = f(x,y). [para(19297(a,1),40491(a,1,2,2))]. given #1853 (F,wt=19): 58049 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(x,x)))) = c_0. [para(28082(a,1),40615(a,1,1,2))]. given #1854 (T,wt=19): 58153 f(f(x,x),f(c_0,f(y,f(f(z,x),f(u,f(y,y)))))) = c_0. [para(35260(a,1),40624(a,1,2)),rewrite(28082(10),28082(13),14874(13))]. given #1855 (T,wt=19): 58154 f(f(x,x),f(c_0,f(f(y,f(z,x)),f(c_0,f(y,u))))) = c_0. [para(35281(a,1),40624(a,1,2)),rewrite(28082(4),28082(11),28082(14),14874(14))]. given #1856 (A,wt=35): 28772 f(f(c_0,f(x,f(x,f(y,z)))),f(f(f(y,z),f(u,f(y,z))),f(c_0,f(f(z,f(y,z)),f(v,f(y,z)))))) = c_0. [back_rewrite(26469),rewrite(28082(3),28082(9),28082(15),28082(18))]. given #1857 (F,wt=19): 58155 f(f(x,x),f(c_0,f(f(y,y),f(f(y,z),f(u,x))))) = c_0. [para(35354(a,1),40624(a,1,2)),rewrite(28082(6),28082(10),28082(13),14874(13))]. given #1858 (F,wt=19): 58156 f(f(x,x),f(c_0,f(f(y,y),f(f(z,x),f(u,y))))) = c_0. [para(35397(a,1),40624(a,1,2)),rewrite(28082(7),28082(10),28082(13),14874(13))]. given #1859 (T,wt=19): 58158 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(u,x))))))) = c_0. [para(35943(a,1),40624(a,1,2)),rewrite(28082(4),28082(10),28082(13),14874(13))]. given #1860 (T,wt=19): 58165 f(f(x,f(y,f(z,u))),f(x,f(u,f(c_0,f(z,x))))) = x. [para(28082(a,1),40681(a,1,1)),rewrite(28082(3),28082(5))]. given #1861 (A,wt=35): 28773 f(f(c_0,f(x,f(c_0,f(y,z)))),f(f(f(y,z),f(u,f(y,z))),f(c_0,f(f(z,f(y,z)),f(v,f(y,z)))))) = c_0. [back_rewrite(26466),rewrite(28082(5),28082(9),28082(15))]. given #1862 (F,wt=19): 58247 f(f(x,f(y,f(z,z))),f(x,f(u,f(c_0,f(z,x))))) = x. [para(28082(a,1),40869(a,1,1)),rewrite(28082(3),28082(5))]. given #1863 (F,wt=19): 58300 f(x,f(f(y,f(x,y)),f(x,f(z,u)))) = f(x,f(z,u)). [para(29880(a,1),28428(a,1,2,2,1)),rewrite(28082(10),31500(13))]. given #1864 (T,wt=19): 58354 f(x,f(f(y,x),f(z,f(c_0,f(u,f(x,x)))))) = f(y,x). [para(22(a,1),41005(a,1,2,2,2,2,2,2)),rewrite(22(3),28082(4),14500(4))]. given #1865 (T,wt=19): 58415 f(x,f(f(y,y),f(c_0,f(z,f(x,f(x,y)))))) = f(x,x). [para(36585(a,1),41145(a,1,2))]. given #1866 (A,wt=39): 28777 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(c_0,f(f(f(x,y),f(u,f(x,y))),f(c_0,f(f(y,f(x,y)),f(v,f(x,y)))))))) = c_0. [back_rewrite(26449),rewrite(28082(4),28082(10),28082(17),28082(21))]. given #1867 (F,wt=19): 58483 f(x,f(f(y,x),f(z,f(c_0,f(u,f(x,u)))))) = f(y,x). [para(22(a,1),41506(a,1,2,2,2,2,2,2)),rewrite(22(3),28082(3))]. given #1868 (F,wt=19): 58574 f(f(x,y),f(y,f(z,f(z,f(y,f(c_0,f(x,u))))))) = y. [para(36585(a,1),41708(a,1,2,2,2,2))]. given #1869 (T,wt=19): 58576 f(f(x,y),f(y,f(z,f(z,f(x,f(c_0,f(y,u))))))) = y. [para(36586(a,2),41708(a,1,2,2,2,2))]. given #1870 (T,wt=19): 58586 f(f(x,y),f(y,f(x,f(x,f(z,f(z,f(x,y))))))) = y. [para(31184(a,1),41708(a,1,2,2,2)),rewrite(28082(6))]. given #1871 (A,wt=57): 28781 f(f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y))))),f(f(x,y),f(v,f(c_0,f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y))))))))) = c_0. [back_rewrite(26434),rewrite(28082(4),28082(10),28082(17),28082(20),28082(26),28082(30))]. given #1872 (F,wt=19): 58609 f(f(x,y),f(x,f(z,f(z,f(y,f(c_0,f(x,u))))))) = x. [para(36585(a,1),41709(a,1,2,2,2,2))]. given #1873 (F,wt=19): 58612 f(f(x,f(y,f(z,z))),f(x,f(u,f(u,f(x,z))))) = x. [para(36616(a,1),41709(a,1,2,2,2,2))]. given #1874 (T,wt=19): 58613 f(f(x,f(y,z)),f(x,f(u,f(u,f(x,f(y,y)))))) = x. [para(36546(a,1),41709(a,1,2,2,2,2))]. given #1875 (T,wt=19): 58614 f(f(x,f(y,z)),f(x,f(u,f(u,f(x,f(z,z)))))) = x. [para(36547(a,1),41709(a,1,2,2,2,2))]. given #1876 (A,wt=59): 28783 f(f(x,y),f(f(x,y),f(c_0,f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))))) = f(c_0,f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))). [back_rewrite(26423),rewrite(28082(6),28082(12),28082(22),28082(28))]. given #1877 (F,wt=19): 58628 f(f(f(x,y),f(z,u)),f(c_0,f(f(y,y),f(u,u)))) = c_0. [para(22(a,1),42009(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(7))]. given #1878 (F,wt=19): 58672 f(f(f(x,y),f(z,u)),f(c_0,f(f(y,y),f(z,z)))) = c_0. [para(22(a,1),42327(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(7))]. given #1879 (T,wt=19): 58876 f(f(x,f(y,f(z,x))),f(x,f(u,f(c_0,f(z,x))))) = x. [para(28173(a,1),43529(a,1,2,2)),rewrite(14500(7,R),28082(5),14874(5),28082(3))]. given #1880 (T,wt=19): 58884 f(x,f(f(y,z),f(c_0,f(f(z,x),f(z,u))))) = f(z,x). [para(43783(a,1),28082(a,2)),rewrite(28082(3),28082(8),28082(9))]. given #1881 (A,wt=53): 28789 f(f(x,y),f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))) = f(c_0,f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))). [back_rewrite(26407),rewrite(28082(3),28082(9),28082(14),28082(18),28082(24))]. given #1882 (F,wt=19): 58891 f(x,f(f(y,z),f(z,f(f(x,z),f(z,u))))) = f(x,z). [para(19297(a,1),43783(a,1,2,2))]. given #1883 (F,wt=19): 58947 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(u,f(y,x)))))) = c_0. [para(28174(a,1),44205(a,1,2,2,2,2,2,2,2)),rewrite(28082(14),15611(14),36952(14),56441(12))]. given #1884 (T,wt=19): 58950 f(f(x,f(y,f(y,f(x,f(x,z))))),f(c_0,f(x,z))) = c_0. [para(28481(a,1),44199(a,1,2,2,2)),rewrite(28082(9),12782(9))]. given #1885 (T,wt=19): 59036 f(x,f(c_0,f(f(x,f(y,f(x,z))),f(c_0,f(u,z))))) = c_0. [para(29506(a,1),44601(a,1,2,2,2,2,2,2)),rewrite(28082(8))]. given #1886 (A,wt=29): 28802 f(f(f(x,y),f(x,z)),f(f(u,f(c_0,f(v,f(v,x)))),f(w,f(c_0,f(v,f(v,x)))))) = c_0. [back_rewrite(25952),rewrite(28082(2),28082(7),28082(12),28082(13),28082(15))]. given #1887 (F,wt=19): 59237 f(f(x,x),f(f(y,x),f(z,f(f(x,u),f(x,v))))) = c_0. [para(26944(a,1),45369(a,1,2,2)),rewrite(14500(12,R),28082(8),14874(8),28082(8),14500(8),28082(8))]. given #1888 (F,wt=19): 59380 f(f(x,y),f(c_0,f(z,f(z,f(x,f(c_0,f(u,y))))))) = c_0. [para(46072(a,1),36547(a,1,2,2)),rewrite(14500(13,R),28082(8),28082(10),14500(10),28082(10),28141(10),14500(15,R),28082(10)),flip(a)]. given #1889 (T,wt=19): 59464 f(f(x,x),f(f(x,f(x,y)),f(z,f(z,f(x,y))))) = c_0. [para(29880(a,1),46114(a,1,2,2,2,2,2,2)),rewrite(28082(6),8394(6),28082(4),28082(8),8394(8),28082(6),38887(13))]. given #1890 (T,wt=19): 59479 f(f(x,x),f(c_0,f(y,f(y,f(z,f(z,f(y,x))))))) = c_0. [para(46115(a,1),28082(a,1)),rewrite(28082(3),28082(10)),flip(a)]. given #1891 (A,wt=29): 28803 f(f(c_0,f(x,f(x,y))),f(f(z,f(f(y,u),f(y,v))),f(w,f(f(y,u),f(y,v))))) = c_0. [back_rewrite(25951),rewrite(28082(2),28082(5),28082(6),28082(9),28082(10))]. given #1892 (F,wt=19): 59493 f(x,f(c_0,f(f(y,y),f(x,f(z,f(z,f(x,y))))))) = c_0. [para(46115(a,1),37762(a,1)),rewrite(28082(4)),flip(a)]. given #1893 (F,wt=19): 59506 f(f(x,f(y,f(y,f(x,z)))),f(x,f(u,f(z,z)))) = x. [para(22(a,1),46177(a,1,1,2,2,2,2)),rewrite(28082(6))]. given #1894 (T,wt=19): 59561 f(f(x,f(x,f(y,y))),f(x,f(z,f(x,f(u,y))))) = x. [para(28082(a,1),46272(a,1,1,2)),rewrite(28082(3),28082(8))]. given #1895 (T,wt=19): 59619 f(f(x,f(y,f(z,x))),f(c_0,f(x,f(c_0,f(u,z))))) = c_0. [para(46377(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(2)),flip(a)]. given #1896 (A,wt=31): 28805 f(x,f(f(y,f(c_0,f(z,f(c_0,f(u,f(u,x)))))),f(v,f(c_0,f(z,f(c_0,f(u,f(u,x)))))))) = c_0. [back_rewrite(25899),rewrite(28082(3),28082(11),28082(18))]. given #1897 (F,wt=19): 59656 f(x,f(x,f(f(y,y),f(x,f(z,f(x,f(x,y))))))) = c_0. [para(46429(a,1),38296(a,1,2)),rewrite(28082(8))]. given #1898 (F,wt=19): 59921 f(f(x,f(x,f(y,z))),f(x,f(z,f(c_0,f(u,y))))) = x. [para(29506(a,1),47923(a,1,2,2,2,2)),rewrite(28082(4),28082(6),28082(9))]. given #1899 (T,wt=19): 59987 f(f(x,f(y,z)),f(f(x,f(y,y)),f(x,f(z,z)))) = c_0. [para(32215(a,1),48018(a,1,2,2)),rewrite(14874(11),28082(8))]. given #1900 (T,wt=19): 60153 f(x,f(y,f(c_0,f(x,z)))) = f(x,f(x,f(c_0,f(z,y)))). [para(36585(a,1),49867(a,1,2,2,2)),rewrite(28082(7),28082(11),53841(12))]. given #1901 (A,wt=27): 28807 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(u,f(u,x)))),f(v,f(c_0,f(u,f(u,x)))))) = c_0. [back_rewrite(25879),rewrite(28082(2),28082(7),28082(13),28082(15))]. given #1902 (F,wt=19): 60222 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(c_0,f(u,y))))) = c_0. [para(50126(a,1),36586(a,2)),rewrite(28082(8))]. given #1903 (F,wt=19): 60386 f(x,f(f(y,x),f(z,f(c_0,f(u,f(x,z)))))) = f(y,x). [para(22(a,1),50439(a,1,2,2,2,2,2,2)),rewrite(22(3),28082(3))]. given #1904 (T,wt=19): 60490 f(f(x,f(f(y,y),f(x,z))),f(f(y,x),f(x,z))) = c_0. [para(28082(a,1),50699(a,1,1,1)),rewrite(28082(6),28082(8))]. given #1905 (T,wt=17): 62905 f(f(c_0,f(x,y)),f(x,f(f(z,z),f(x,y)))) = c_0. [para(60490(a,1),51711(a,1,1,2,2)),rewrite(28082(7),14500(13,R),28082(13),28082(16),57306(16),39195(14),14874(11))]. given #1906 (A,wt=29): 28809 f(f(f(x,f(y,z)),f(u,f(y,z))),f(c_0,f(z,f(z,f(f(z,v),f(z,f(y,z))))))) = c_0. [back_rewrite(25845),rewrite(28082(7),28082(9),28082(10))]. given #1907 (F,wt=19): 60495 f(f(f(x,y),f(x,z)),f(c_0,f(f(x,z),f(y,y)))) = c_0. [para(50699(a,1),29200(a,1,2,2)),rewrite(28082(8),50699(17))]. given #1908 (F,wt=19): 60569 f(f(x,y),f(c_0,f(z,f(f(x,y),f(x,f(x,z)))))) = c_0. [para(19010(a,2),50716(a,1,2,2,2,2)),rewrite(28082(6),14874(10))]. given #1909 (T,wt=19): 60571 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(u,f(x,y)))))) = c_0. [para(50716(a,1),28174(a,1)),flip(a)]. given #1910 (T,wt=19): 60573 f(f(x,y),f(c_0,f(z,f(f(x,y),f(y,f(y,z)))))) = c_0. [para(19297(a,2),50716(a,1,2,2,2,2)),rewrite(28082(6),14874(10))]. given #1911 (A,wt=23): 28811 f(x,f(f(y,f(c_0,f(z,f(z,x)))),f(u,f(c_0,f(z,f(z,x)))))) = c_0. [back_rewrite(25792),rewrite(28082(2),28082(7),28082(12))]. given #1912 (F,wt=19): 60584 f(x,f(c_0,f(y,f(x,f(z,f(y,f(x,f(z,z)))))))) = c_0. [para(32215(a,1),50716(a,1,2,2,2,2)),rewrite(14874(10))]. given #1913 (F,wt=19): 60621 f(f(x,y),f(y,f(f(z,u),f(f(x,y),f(z,u))))) = y. [para(19010(a,1),50737(a,1,2,2,2,2)),rewrite(14500(6,R),28082(6),14530(7))]. given #1914 (T,wt=19): 60629 f(f(x,y),f(y,f(f(z,f(x,y)),f(c_0,f(u,z))))) = y. [para(29506(a,1),50737(a,1,2,2,2,2)),rewrite(28082(6),28082(7))]. given #1915 (T,wt=19): 60699 f(x,f(f(y,x),f(z,f(x,f(u,f(z,z)))))) = f(y,x). [para(22(a,1),50738(a,1,2,2,2,1)),rewrite(22(3))]. given #1916 (A,wt=27): 28815 f(f(c_0,f(x,f(x,f(y,z)))),f(f(u,f(y,z)),f(c_0,f(z,f(y,f(y,z)))))) = c_0. [back_rewrite(25683),rewrite(28082(4),28082(8),28082(11),28082(14))]. given #1917 (F,wt=19): 60703 f(f(x,y),f(x,f(f(z,u),f(f(x,y),f(z,u))))) = x. [para(19010(a,1),50738(a,1,2,2,2,2)),rewrite(14500(6,R),28082(6),14530(7))]. given #1918 (F,wt=19): 60704 f(f(x,y),f(x,f(f(z,f(x,y)),f(c_0,f(u,z))))) = x. [para(29506(a,1),50738(a,1,2,2,2,2)),rewrite(28082(6),28082(7))]. given #1919 (T,wt=19): 60727 f(f(x,y),f(x,f(y,f(y,f(z,f(z,f(x,y))))))) = x. [para(29638(a,1),50738(a,1,2,2,2)),rewrite(28082(6))]. given #1920 (T,wt=19): 60857 f(x,f(f(y,x),f(f(x,z),f(c_0,f(z,u))))) = f(y,x). [para(22(a,1),51251(a,1,2,2,1,2)),rewrite(22(3),28082(2))]. given #1921 (A,wt=29): 28820 f(f(f(x,y),f(x,z)),f(c_0,f(f(u,x),f(c_0,f(f(x,f(u,x)),f(v,f(u,x))))))) = c_0. [back_rewrite(25124),rewrite(28082(12),28082(14),28082(15),28082(18),27747(18),28082(12),28082(13),28082(15),28082(16),28082(19),27747(19),28082(13),28082(15))]. given #1922 (F,wt=19): 61034 f(x,f(f(y,x),f(f(z,z),f(x,f(z,u))))) = f(y,x). [para(22(a,1),51535(a,1,2,2,2,1)),rewrite(22(3))]. given #1923 (F,wt=19): 61074 f(f(x,f(y,f(y,f(z,x)))),f(c_0,f(x,f(z,z)))) = c_0. [para(51711(a,1),29343(a,1,2,2)),rewrite(14873(5),28082(2)),flip(a)]. given #1924 (T,wt=19): 61105 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(u,f(y,y)))))) = c_0. [para(27606(a,1),51736(a,1,2,2,1)),rewrite(52692(11))]. given #1925 (T,wt=19): 61106 f(x,f(c_0,f(f(y,z),f(x,f(z,f(c_0,f(u,y))))))) = c_0. [para(29506(a,1),51736(a,1,2,2,2,2)),rewrite(28082(5),28082(7),28082(8))]. given #1926 (A,wt=25): 28822 f(f(c_0,f(x,f(x,y))),f(f(z,f(c_0,f(y,u))),f(v,f(c_0,f(y,u))))) = c_0. [back_rewrite(25110),rewrite(28082(2),28082(6),28082(10))]. given #1927 (F,wt=19): 61322 f(x,f(f(y,x),f(z,f(z,f(u,f(x,z)))))) = f(y,x). [para(22(a,1),52424(a,1,2,2,2,2,2,2)),rewrite(22(3),28082(2))]. given #1928 (F,wt=19): 61392 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(x,y)))))))) = c_0. [para(52692(a,1),46114(a,1)),rewrite(28082(2),28082(4),14500(6,R),28082(5),14530(6))]. given #1929 (T,wt=19): 61438 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(c_0,f(u,x))))) = c_0. [para(40940(a,1),53067(a,1,2,2,2,2,2)),rewrite(28082(8),52835(12))]. given #1930 (T,wt=19): 61500 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(u,f(y,x)))))))) = c_0. [para(53689(a,1),28082(a,1)),rewrite(28082(4),28082(11)),flip(a)]. given #1931 (A,wt=25): 28825 f(f(x,f(y,f(z,x))),f(f(u,f(c_0,f(z,x))),f(v,f(c_0,f(z,x))))) = c_0. [back_rewrite(25033),rewrite(28082(3))]. given #1932 (F,wt=19): 61573 f(x,f(f(y,x),f(z,f(f(y,u),f(y,v))))) = f(y,x). [para(29825(a,1),28670(a,1,2,2)),rewrite(28082(5),28082(13),28082(19),28082(20),28082(21),32096(21),14500(3,R),28082(3),53351(16),28082(2)),flip(a)]. given #1933 (F,wt=19): 61574 f(x,f(f(x,y),f(z,f(c_0,f(u,f(u,x)))))) = f(x,y). [para(30005(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(8),28082(17),28082(23),28082(24),32096(24),14500(3,R),28082(3),53309(18),28082(4)),flip(a)]. given #1934 (T,wt=19): 61575 f(x,f(f(y,f(y,f(z,f(x,x)))),f(x,u))) = f(x,u). [para(30025(a,1),28670(a,1,2,2)),rewrite(28082(10),29204(12),28082(12),28082(14),17394(15),28082(7)),flip(a)]. given #1935 (T,wt=19): 61576 f(x,f(f(y,x),f(z,f(f(u,y),f(y,v))))) = f(y,x). [para(30299(a,1),28670(a,1,2,2)),rewrite(28082(5),28082(13),28082(19),28082(20),28082(21),32096(21),14500(3,R),28082(3),53351(16),28082(2)),flip(a)]. given #1936 (A,wt=47): 28834 f(f(c_0,f(x,y)),f(f(c_0,f(z,f(x,y))),f(y,f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(y,f(f(y,v),f(y,f(x,y)))))))))) = f(x,y). [back_rewrite(24222),rewrite(28082(4),28082(7),28082(13),28082(17),28082(18),28082(24))]. given #1937 (F,wt=19): 61577 f(f(f(x,y),f(x,z)),f(f(x,z),f(u,z))) = f(x,z). [para(31258(a,1),28670(a,1,2,2)),rewrite(28082(3),28082(4),28082(5),28082(7),28082(8),28196(9),28082(4),28082(6),28082(7),28082(8),17394(9),28082(3),28082(4),28082(5),28082(7),28082(8)),flip(a)]. given #1938 (F,wt=19): 61578 f(f(x,f(y,f(z,x))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(33366(a,1),28670(a,1,2,2)),rewrite(28082(5),31166(14),28082(11),29418(11),28082(10),29427(10),28082(1)),flip(a)]. given #1939 (T,wt=19): 61579 f(x,f(f(x,y),f(z,f(c_0,f(u,f(z,x)))))) = f(x,y). [para(35161(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(8),28082(17),28082(23),28082(24),32096(24),14500(3,R),28082(3),53309(18),28082(4)),flip(a)]. given #1940 (T,wt=19): 61580 f(x,f(f(x,y),f(z,f(x,f(u,f(z,x)))))) = f(x,y). [para(35555(a,1),28670(a,1,2,2)),rewrite(28082(1),28082(6),28082(14),28082(20),28082(21),32096(21),14500(3,R),28082(3),53309(16),28082(3)),flip(a)]. given #1941 (A,wt=27): 28839 f(f(x,f(y,f(c_0,f(f(z,x),f(x,u))))),f(c_0,f(v,f(f(z,x),f(x,u))))) = c_0. [back_rewrite(24121),rewrite(28082(3),28082(7),28082(10))]. given #1942 (F,wt=19): 61581 f(x,f(f(y,f(y,f(z,f(y,x)))),f(x,u))) = f(x,u). [para(35963(a,1),28670(a,1,2,2)),rewrite(28082(1),28082(6),28082(10),29204(12),28082(8),28082(12),28082(14),17394(15),28082(3),28082(7)),flip(a)]. given #1943 (F,wt=19): 61582 f(f(x,f(c_0,f(y,z))),f(z,f(z,f(c_0,f(y,x))))) = z. [para(36687(a,1),28670(a,2)),rewrite(28082(13),28082(28),42673(30))]. given #1944 (T,wt=19): 61583 f(f(c_0,f(x,f(y,z))),f(f(u,f(x,x)),f(y,z))) = c_0. [para(44865(a,1),28670(a,1,2,2)),rewrite(28082(10),28082(16),28082(18),28082(19),30818(19),28082(9)),flip(a)]. given #1945 (T,wt=19): 61584 f(f(x,y),f(y,f(f(z,x),f(x,u)))) = f(c_0,f(x,y)). [para(50181(a,1),28670(a,2)),rewrite(28082(4),31212(10),28082(9),29297(16),28082(8))]. given #1946 (A,wt=41): 28866 f(f(x,y),f(c_0,f(z,f(z,f(y,f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(y,f(f(y,v),f(y,f(x,y)))))))))))) = c_0. [back_rewrite(23524),rewrite(28082(3),28082(6),28082(12),28082(16),28082(17),28082(19))]. given #1947 (F,wt=19): 61585 f(f(x,y),f(y,f(f(z,z),f(f(z,u),f(x,y))))) = y. [para(51534(a,1),28670(a,1,2,2)),rewrite(28082(4),28082(10),31212(14),28082(10),28082(13),16188(14),28082(5)),flip(a)]. given #1948 (F,wt=19): 61586 f(f(x,y),f(x,f(f(z,z),f(f(z,u),f(x,y))))) = x. [para(51535(a,1),28670(a,1,2,2)),rewrite(28082(4),28082(10),31166(14),28082(10),28082(13),16188(14),28082(5)),flip(a)]. given #1949 (T,wt=19): 61698 f(x,f(f(y,z),f(y,f(f(x,x),f(u,u))))) = f(x,y). [para(30332(a,1),54871(a,1,2,2,2)),rewrite(14500(3,R),28082(3),14553(3),14500(10,R),28082(10),14553(10),28082(8))]. given #1950 (T,wt=19): 61716 f(x,f(y,f(f(y,z),f(u,f(x,x))))) = f(x,f(y,z)). [para(22(a,1),61681(a,1,2,1)),rewrite(28082(1),28082(7))]. given #1951 (A,wt=41): 28870 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(y,f(f(y,v),f(y,f(x,y)))))))))))) = c_0. [back_rewrite(23518),rewrite(28082(4),28082(7),28082(13),28082(17),28082(18))]. given #1952 (F,wt=19): 61777 f(x,f(f(y,z),f(z,f(f(x,x),f(u,u))))) = f(x,z). [para(30511(a,1),61721(a,1,2,2,2)),rewrite(28082(4))]. given #1953 (F,wt=19): 61826 f(f(x,x),f(c_0,f(y,f(f(z,f(y,y)),f(u,x))))) = c_0. [para(55058(a,1),50699(a,1,1)),rewrite(28082(7),14500(7),28082(8),14500(8),14500(8,R),28082(8),14553(8),28082(11),14874(13))]. given #1954 (T,wt=19): 61828 f(x,f(c_0,f(f(y,f(x,x)),f(z,u)))) = f(x,f(z,u)). [para(15611(a,1),55082(a,1,2,2,2)),rewrite(14500(14,R),28082(12),14874(12))]. given #1955 (T,wt=19): 61842 f(x,f(c_0,f(f(y,y),f(x,f(z,f(x,f(u,y))))))) = c_0. [para(28082(a,1),55094(a,1,2,2,1,2)),rewrite(28082(4),28082(7))]. given #1956 (A,wt=43): 28874 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(y,f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(y,f(f(y,v),f(y,f(x,y)))))))))) = c_0. [back_rewrite(23510),rewrite(28082(5),28082(8),28082(14),28082(18),28082(19),28082(23))]. given #1957 (F,wt=19): 61904 f(x,f(c_0,f(f(y,f(z,f(u,x))),f(c_0,f(u,y))))) = c_0. [para(32407(a,1),55135(a,1,2,2,1,2,2)),rewrite(36952(16),39194(14),28082(6))]. given #1958 (F,wt=19): 61905 f(x,f(c_0,f(f(y,f(z,f(u,x))),f(c_0,f(y,u))))) = c_0. [para(55135(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(3)),flip(a)]. given #1959 (T,wt=19): 61910 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(u,f(x,y)))))) = c_0. [para(49867(a,1),55135(a,1,2,2,2)),rewrite(28082(3),14500(3),28082(6),14500(6),14553(6),28082(9),14500(9),14553(9),28082(7))]. given #1960 (T,wt=19): 61918 f(x,f(c_0,f(f(y,z),f(f(y,z),f(y,f(x,y)))))) = c_0. [para(19010(a,2),55136(a,1,2,2,2,2)),rewrite(14874(10))]. given #1961 (A,wt=59): 28917 f(f(x,f(y,z)),f(f(f(c_0,f(y,z)),f(x,f(f(x,u),f(x,f(x,f(y,z)))))),f(f(c_0,f(z,f(y,f(y,z)))),f(f(y,z),f(x,f(x,f(f(x,u),f(x,f(x,f(y,z)))))))))) = f(y,z). [back_rewrite(21536),rewrite(28082(9),28082(10),28082(16),28082(17),28082(21),28082(25),28082(27))]. given #1962 (F,wt=19): 61920 f(x,f(c_0,f(f(y,z),f(f(y,z),f(z,f(x,z)))))) = c_0. [para(19297(a,2),55136(a,1,2,2,2,2)),rewrite(14874(10))]. given #1963 (F,wt=19): 61929 f(x,f(c_0,f(y,f(y,f(z,f(x,f(y,f(z,z)))))))) = c_0. [para(32215(a,1),55136(a,1,2,2,2,2)),rewrite(14874(10))]. given #1964 (T,wt=19): 61939 f(x,f(f(y,z),f(x,f(z,f(c_0,f(x,y)))))) = f(x,x). [para(28082(a,1),55278(a,1,2,1))]. given #1965 (T,wt=19): 62015 f(x,f(y,f(f(x,f(y,y)),f(z,f(x,x))))) = f(x,x). [para(55603(a,1),29723(a,1,2)),flip(a)]. given #1966 (A,wt=55): 28924 f(f(x,f(y,z)),f(f(f(z,f(y,z)),f(f(y,z),f(x,f(x,f(f(x,u),f(x,f(x,f(y,z)))))))),f(f(c_0,f(y,z)),f(x,f(f(x,u),f(x,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(21499),rewrite(28082(9),28082(10),28082(16),28082(17),28082(21),28082(24),28082(25))]. given #1967 (F,wt=19): 62045 f(f(f(x,y),f(z,u)),f(c_0,f(f(y,y),f(z,u)))) = c_0. [para(55722(a,1),31797(a,1,1)),rewrite(14874(7),28082(7))]. given #1968 (F,wt=19): 62117 f(f(x,y),f(x,f(y,y))) = f(c_0,f(x,f(y,f(x,y)))). [para(56054(a,1),14874(a,1,2,2)),rewrite(28082(4),14874(8),28082(6)),flip(a)]. given #1969 (T,wt=19): 62118 f(f(x,f(y,y)),f(c_0,f(x,f(y,f(x,y))))) = f(x,y). [para(56054(a,1),16188(a,1,1)),rewrite(28082(2),28082(6),28082(7),62117(10),38012(12),28082(8),28082(9))]. given #1970 (T,wt=19): 62119 f(f(x,f(y,y)),f(c_0,f(x,f(y,f(y,x))))) = f(y,x). [para(56054(a,1),16188(a,1,2,2)),rewrite(56054(4),38009(12),28082(8))]. given #1971 (A,wt=55): 28925 f(f(x,f(y,z)),f(f(f(y,f(y,z)),f(f(y,z),f(x,f(x,f(f(x,u),f(x,f(x,f(y,z)))))))),f(f(c_0,f(y,z)),f(x,f(f(x,u),f(x,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(21495),rewrite(28082(9),28082(10),28082(16),28082(17),28082(21),28082(24),28082(25))]. given #1972 (F,wt=19): 62140 f(f(x,x),f(y,f(y,f(f(y,z),f(y,f(y,x)))))) = x. [para(56113(a,1),28082(a,2)),rewrite(28082(2),28082(8))]. given #1973 (F,wt=19): 62184 f(f(x,x),f(f(y,z),f(y,f(y,x)))) = f(y,f(x,x)). [para(56113(a,1),56016(a,1,2,2)),rewrite(28082(2),14500(2),28082(6),29795(11)),flip(a)]. given #1974 (T,wt=19): 62203 f(x,f(x,f(f(y,y),f(x,f(z,f(z,f(x,y))))))) = c_0. [para(56284(a,1),50699(a,1,1)),rewrite(28082(3),8394(3),14500(3,R),28082(3),14530(4),28082(6))]. given #1975 (T,wt=19): 62261 f(f(f(x,y),f(x,z)),f(x,f(f(y,y),f(z,z)))) = c_0. [para(22(a,1),56945(a,1,2,2,2)),rewrite(28082(7),28082(8))]. given #1976 (A,wt=51): 28926 f(f(x,f(y,z)),f(f(c_0,f(f(y,z),f(x,f(x,f(f(x,u),f(x,f(x,f(y,z)))))))),f(f(c_0,f(y,z)),f(x,f(f(x,u),f(x,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(21493),rewrite(28082(9),28082(10),28082(17),28082(18),28082(22),28082(24))]. given #1977 (F,wt=19): 62268 f(f(x,f(y,f(z,z))),f(f(z,x),f(x,f(y,y)))) = c_0. [para(28082(a,1),56945(a,1,1)),rewrite(28082(3),28082(4))]. given #1978 (F,wt=19): 62349 f(x,f(f(y,f(x,x)),f(f(y,x),f(c_0,f(y,z))))) = c_0. [para(57455(a,1),28082(a,1)),rewrite(28082(4),28082(10)),flip(a)]. given #1979 (T,wt=19): 62370 f(x,f(f(y,f(x,x)),f(y,f(c_0,f(z,f(y,x)))))) = c_0. [para(57456(a,1),28082(a,1)),rewrite(28082(5),28082(10)),flip(a)]. given #1980 (T,wt=17): 63638 f(f(x,x),f(f(x,y),f(y,f(y,f(x,z))))) = c_0. [para(32212(a,1),62370(a,1,2,2,2,2)),rewrite(14500(4,R),28082(4),14553(4),28082(2),28082(5),14874(8))]. given #1981 (A,wt=51): 28932 f(f(x,f(y,z)),f(f(y,f(f(y,z),f(x,f(x,f(f(x,u),f(x,f(x,f(y,z)))))))),f(f(c_0,f(y,z)),f(x,f(f(x,u),f(x,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(21475),rewrite(28082(9),28082(10),28082(16),28082(17),28082(21),28082(22),28082(23))]. given #1982 (F,wt=17): 63662 f(f(x,x),f(f(y,x),f(y,f(y,f(x,z))))) = c_0. [para(63638(a,1),28670(a,1,1,2)),rewrite(28082(5),28082(6),28082(12),52701(19),29849(7),28082(3)),flip(a)]. given #1983 (F,wt=19): 62439 f(x,f(f(y,z),f(y,f(f(y,x),f(y,u))))) = f(y,x). [para(57992(a,1),28082(a,2)),rewrite(28082(2),28082(7),28082(8))]. given #1984 (T,wt=19): 62543 f(f(x,f(y,f(z,z))),f(x,f(u,f(u,f(z,x))))) = x. [para(28368(a,1),58574(a,1,2,2,2,2,2,2)),rewrite(28082(3),14553(6),28082(4))]. given #1985 (T,wt=19): 62591 f(f(x,y),f(x,f(z,f(c_0,f(x,f(c_0,f(u,y))))))) = x. [para(29526(a,1),58612(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(10),12782(11),28082(10))]. given #1986 (A,wt=51): 28933 f(f(x,f(y,z)),f(f(z,f(f(y,z),f(x,f(x,f(f(x,u),f(x,f(x,f(y,z)))))))),f(f(c_0,f(y,z)),f(x,f(f(x,u),f(x,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(21472),rewrite(28082(9),28082(10),28082(16),28082(17),28082(21),28082(22),28082(23))]. given #1987 (F,wt=19): 62673 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(c_0,f(u,x))))))) = c_0. [para(40681(a,1),58628(a,1,1)),rewrite(14500(6,R),28082(5),14500(14,R),28082(11),36952(12),31110(14))]. given #1988 (F,wt=19): 62697 f(x,f(f(y,z),f(z,f(f(z,x),f(z,u))))) = f(z,x). [para(58891(a,1),28082(a,2)),rewrite(28082(2),28082(7),28082(8))]. given #1989 (T,wt=19): 62702 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(u,f(y,y)))))) = c_0. [para(28082(a,1),58947(a,1,2,2,2)),rewrite(28082(2))]. given #1990 (T,wt=19): 62714 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(u,f(y,x)))))) = c_0. [para(50716(a,1),58947(a,1,2,2,2)),rewrite(28082(4),14500(11),14553(11),28082(9))]. given #1991 (A,wt=45): 29009 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(z,f(f(y,z),f(v,f(y,z)))))))) = f(y,z). [back_rewrite(18543),rewrite(28082(6),28082(8),28082(9),28082(12),28082(18))]. given #1992 (F,wt=19): 62723 f(f(x,f(y,f(y,f(x,f(z,x))))),f(c_0,f(z,x))) = c_0. [para(58950(a,1),29343(a,1,2,2)),rewrite(14873(4),28082(2),28082(8)),flip(a)]. given #1993 (F,wt=19): 62724 f(x,f(c_0,f(y,f(x,f(z,f(z,f(x,f(x,y)))))))) = c_0. [para(58950(a,1),36586(a,2))]. given #1994 (T,wt=19): 62725 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(y,x)))))))) = c_0. [para(58950(a,1),36616(a,2)),rewrite(14500(16,R),28082(14),14874(14),36952(14),38419(14))]. given #1995 (T,wt=19): 62739 f(x,f(c_0,f(f(x,f(y,f(z,x))),f(c_0,f(u,z))))) = c_0. [para(59036(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(3)),flip(a)]. given #1996 (A,wt=45): 29013 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(y,f(f(y,z),f(v,f(y,z)))))))) = f(y,z). [back_rewrite(18538),rewrite(28082(6),28082(8),28082(9),28082(12),28082(18))]. given #1997 (F,wt=19): 62778 f(f(x,x),f(f(y,f(y,f(x,z))),f(x,f(x,z)))) = c_0. [para(59464(a,1),28670(a,1,2,2)),rewrite(28082(10),28082(18),28082(20),28082(21),30818(21),28082(8)),flip(a)]. given #1998 (F,wt=19): 62822 f(x,f(f(y,y),f(x,f(z,f(x,f(x,y)))))) = f(x,x). [para(59656(a,1),12782(a,1,2)),rewrite(14500(2)),flip(a)]. given #1999 (T,wt=19): 62874 f(x,f(c_0,f(y,f(f(z,f(z,y)),f(z,f(x,x)))))) = c_0. [para(60153(a,1),59987(a,1,1)),rewrite(14500(14,R),28082(12),14874(12),28082(10),52718(11),47426(9))]. given #2000 (T,wt=19): 62933 f(x,f(c_0,f(y,f(x,f(f(x,z),f(y,f(x,z))))))) = c_0. [para(22(a,1),60569(a,1,1)),rewrite(28082(2),28082(4),8394(4),28082(2),28082(3),28082(4))]. given #2001 (A,wt=41): 29017 f(x,f(c_0,f(f(x,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(u,f(x,y)),f(f(x,y),f(z,f(z,f(v,f(x,y)))))))))) = f(x,y). [back_rewrite(18513),rewrite(28082(7),28082(9),28082(10),28082(13),28082(15),28082(16))]. given #2002 (F,wt=19): 62934 f(x,f(c_0,f(y,f(x,f(f(z,x),f(y,f(z,x))))))) = c_0. [para(22(a,1),60569(a,1,2,2,2,1)),rewrite(22(3),28082(4))]. given #2003 (F,wt=19): 62936 f(f(x,y),f(c_0,f(z,f(f(x,y),f(x,f(z,x)))))) = c_0. [para(60569(a,1),28082(a,1)),rewrite(28082(4),28082(10)),flip(a)]. given #2004 (T,wt=19): 62943 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(z,f(y,z)))))) = c_0. [para(60569(a,1),42337(a,1,2)),rewrite(28082(4),28082(10),14500(14,R),28082(9),28082(13),14874(13))]. given #2005 (T,wt=19): 62944 f(f(x,y),f(y,f(z,f(f(x,y),f(x,f(x,z)))))) = y. [para(60569(a,1),51979(a,1,2,2,2)),rewrite(14500(12,R),28082(8),28082(10),14874(10))]. given #2006 (A,wt=41): 29020 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(c_0,f(y,f(x,f(x,y)))),f(f(x,y),f(z,f(z,f(u,f(x,y)))))))) = f(x,y). [back_rewrite(18510),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(16),28082(21))]. given #2007 (F,wt=19): 62945 f(f(x,y),f(x,f(z,f(f(x,y),f(x,f(x,z)))))) = x. [para(60569(a,1),51981(a,1,2,2,2)),rewrite(14500(12,R),28082(8),28082(10),14874(10))]. given #2008 (F,wt=19): 62946 f(f(x,x),f(c_0,f(y,f(f(x,z),f(z,f(y,z)))))) = c_0. [para(60569(a,1),58156(a,1,2,2,2)),rewrite(28082(3),28082(4),28082(8),28082(9),14500(13,R),28082(9),28082(11),14874(11))]. given #2009 (T,wt=19): 62952 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(u,f(x,x)))))) = c_0. [para(28082(a,1),60571(a,1,2,2,2))]. given #2010 (T,wt=19): 62973 f(f(x,y),f(c_0,f(z,f(f(x,y),f(y,f(z,y)))))) = c_0. [para(60573(a,1),28082(a,1)),rewrite(28082(4),28082(10)),flip(a)]. given #2011 (A,wt=41): 29021 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(c_0,f(z,f(y,f(y,z)))),f(f(y,z),f(u,f(u,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(18509),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(18))]. given #2012 (F,wt=19): 62979 f(f(x,y),f(y,f(z,f(f(x,y),f(y,f(y,z)))))) = y. [para(60573(a,1),51979(a,1,2,2,2)),rewrite(14500(12,R),28082(8),28082(10),14874(10))]. given #2013 (F,wt=19): 62980 f(f(x,y),f(x,f(z,f(f(x,y),f(y,f(y,z)))))) = x. [para(60573(a,1),51981(a,1,2,2,2)),rewrite(14500(12,R),28082(8),28082(10),14874(10))]. given #2014 (T,wt=19): 62982 f(x,f(c_0,f(y,f(x,f(f(y,f(x,z)),f(z,z)))))) = c_0. [para(22(a,1),60584(a,1,2,2,2,2,2,2,2)),rewrite(28082(5))]. given #2015 (T,wt=19): 62989 f(f(x,f(y,f(z,f(x,f(y,y))))),f(c_0,f(x,z))) = c_0. [para(60584(a,1),36585(a,1)),rewrite(28082(8)),flip(a)]. given #2016 (A,wt=45): 29023 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(f(z,f(y,z)),f(v,f(y,z))))))) = f(y,z). [back_rewrite(18507),rewrite(28082(6),28082(8),28082(9),28082(12),28082(17))]. given #2017 (F,wt=19): 62990 f(f(x,f(y,f(z,f(x,f(y,y))))),f(c_0,f(z,x))) = c_0. [para(60584(a,1),36616(a,2)),rewrite(14500(26,R),28082(19),14874(19),36952(19),38419(19))]. given #2018 (F,wt=19): 63044 f(f(x,f(y,f(z,x))),f(x,f(u,f(u,f(z,x))))) = x. [para(28815(a,1),58576(a,1,2,2,2)),rewrite(28082(3),28082(10),14874(10))]. given #2019 (T,wt=19): 63193 f(x,f(f(y,z),f(y,f(f(x,x),f(u,v))))) = f(x,y). [para(15611(a,1),61698(a,1,2,2,2,2))]. given #2020 (T,wt=19): 63242 f(x,f(f(y,z),f(z,f(f(x,x),f(u,v))))) = f(x,z). [para(15611(a,1),61777(a,1,2,2,2,2))]. given #2021 (A,wt=41): 29024 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(c_0,f(f(z,f(y,z)),f(u,f(y,z))))))) = f(y,z). [back_rewrite(18502),rewrite(28082(5),28082(6),28082(9),28082(14))]. given #2022 (F,wt=19): 63249 f(f(x,y),f(c_0,f(z,f(f(u,f(z,z)),f(x,y))))) = c_0. [para(29200(a,1),61826(a,1,2,2,2)),rewrite(14500(9,R),28082(6),36952(14),28174(12))]. given #2023 (F,wt=19): 63254 f(x,f(c_0,f(y,f(f(z,f(y,z)),f(z,f(x,x)))))) = c_0. [para(60569(a,1),61826(a,1,2,2,2)),rewrite(28082(3),28082(5),28082(9),28082(11),14500(13,R),28082(8),14500(11),14553(11),28082(9))]. given #2024 (T,wt=19): 63258 f(x,f(y,f(f(z,f(x,x)),f(u,y)))) = f(x,f(u,y)). [para(29200(a,1),61828(a,1,2,2)),rewrite(61828(7)),flip(a)]. given #2025 (T,wt=19): 63259 f(x,f(y,f(f(z,f(x,x)),f(y,u)))) = f(x,f(y,u)). [para(29204(a,1),61828(a,1,2,2)),rewrite(61828(7)),flip(a)]. given #2026 (A,wt=45): 29026 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(c_0,f(f(y,f(x,y)),f(v,f(x,y))))))) = f(x,y). [back_rewrite(18500),rewrite(28082(7),28082(9),28082(10),28082(13),28082(18))]. given #2027 (F,wt=19): 63320 f(x,f(c_0,f(y,f(y,f(f(y,z),f(x,f(y,z))))))) = c_0. [para(22(a,1),61918(a,1,2,2,1)),rewrite(28082(2),28082(4),8394(4),28082(2),28082(3))]. given #2028 (F,wt=19): 63321 f(x,f(c_0,f(y,f(y,f(f(z,y),f(x,f(z,y))))))) = c_0. [para(22(a,1),61918(a,1,2,2,2,1)),rewrite(22(4))]. given #2029 (T,wt=19): 63323 f(x,f(c_0,f(f(y,z),f(f(y,z),f(y,f(y,x)))))) = c_0. [para(61918(a,1),28082(a,1)),rewrite(28082(5),28082(10)),flip(a)]. given #2030 (T,wt=19): 63330 f(x,f(c_0,f(y,f(f(z,f(x,z)),f(z,f(z,y)))))) = c_0. [para(49867(a,1),61918(a,1,2,2,1)),rewrite(28082(8),43433(8),38026(12),28082(8),52718(9))]. given #2031 (A,wt=41): 29028 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(c_0,f(y,f(z,f(y,z)))),f(f(y,z),f(u,f(u,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(18494),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(18))]. given #2032 (F,wt=19): 63334 f(x,f(c_0,f(f(y,z),f(f(y,z),f(z,f(z,x)))))) = c_0. [para(61920(a,1),28082(a,1)),rewrite(28082(5),28082(10)),flip(a)]. given #2033 (F,wt=19): 63342 f(x,f(c_0,f(y,f(y,f(f(x,f(y,z)),f(z,z)))))) = c_0. [para(22(a,1),61929(a,1,2,2,2,2,2,2,2)),rewrite(28082(5))]. given #2034 (T,wt=19): 63359 f(x,f(c_0,f(y,f(f(z,f(x,z)),f(z,f(y,y)))))) = c_0. [para(61929(a,1),52692(a,1)),rewrite(28082(3),29798(10)),flip(a)]. given #2035 (T,wt=19): 63381 f(x,f(f(y,y),f(f(x,y),f(z,f(x,x))))) = f(x,x). [para(22(a,1),62015(a,1,2,2,1,2))]. given #2036 (A,wt=37): 29029 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(c_0,f(f(z,f(x,z)),f(u,f(x,z))))))) = f(x,z). [back_rewrite(18493),rewrite(28082(4),28082(8),28082(13))]. given #2037 (F,wt=19): 63382 f(f(x,x),f(y,f(f(x,z),f(f(x,x),f(y,y))))) = x. [para(22(a,1),62015(a,1,2,2,2,2)),rewrite(28082(5),28082(6),14500(11,R),28082(11),14553(11))]. given #2038 (F,wt=19): 63470 f(f(x,f(y,x)),f(c_0,f(y,f(y,f(x,x))))) = f(y,x). [para(62118(a,1),36585(a,1)),flip(a)]. given #2039 (T,wt=19): 63471 f(f(x,f(x,y)),f(c_0,f(y,f(y,f(x,x))))) = f(x,y). [para(62118(a,1),36585(a,2)),rewrite(28082(1),28082(9))]. given #2040 (T,wt=19): 63472 f(x,f(c_0,f(f(x,f(y,y)),f(y,f(x,y))))) = f(x,y). [para(62118(a,1),36586(a,2)),rewrite(28082(6))]. given #2041 (A,wt=55): 29033 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(18472),rewrite(28082(5),28082(6),28082(9),28082(13),28082(15),28082(16),28082(19),28082(21),28082(22))]. given #2042 (F,wt=19): 63562 f(x,f(f(y,y),f(x,f(z,f(z,f(x,y)))))) = f(x,x). [para(62203(a,1),12782(a,1,2)),rewrite(14500(2)),flip(a)]. given #2043 (F,wt=19): 63588 f(f(x,f(f(y,y),f(z,z))),f(f(y,x),f(x,z))) = c_0. [para(28082(a,1),62261(a,1,1,1)),rewrite(28082(8))]. given #2044 (T,wt=19): 63622 f(f(x,f(f(y,y),f(z,z))),f(f(y,x),f(z,x))) = c_0. [para(62261(a,1),28670(a,1,2,2)),rewrite(28082(4),28082(5),28082(11),28082(18),28082(19),31263(19),28082(2),28082(3),28082(9)),flip(a)]. given #2045 (T,wt=19): 63635 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(z,f(y,z)))))) = c_0. [para(31421(a,1),62370(a,1,2,2,2,2)),rewrite(14500(10,R),28082(8),14874(8),28082(8),14874(10),47426(9))]. given #2046 (A,wt=55): 29034 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(z,f(z,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(18470),rewrite(28082(5),28082(6),28082(9),28082(13),28082(15),28082(16),28082(19),28082(21),28082(22))]. given #2047 (F,wt=19): 63637 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(z,f(x,z)))))) = c_0. [para(38004(a,1),62370(a,1,2,2,2,2)),rewrite(14500(10,R),28082(8),14874(8),28082(8),14874(10),47426(9))]. given #2048 (F,wt=19): 63640 f(x,f(f(y,f(x,x)),f(y,f(y,f(z,f(x,x)))))) = c_0. [para(22(a,1),63638(a,1,1)),rewrite(28082(2),28082(4))]. given #2049 (T,wt=19): 63689 f(f(x,f(y,f(y,f(z,x)))),f(x,f(u,f(z,z)))) = x. [para(62543(a,1),28670(a,1,2,2)),rewrite(28082(11),31178(12),28082(9),16188(10),28082(8)),flip(a)]. given #2050 (T,wt=19): 63721 f(x,f(c_0,f(y,f(x,f(z,f(z,f(x,f(y,x)))))))) = c_0. [para(62723(a,1),36616(a,2)),rewrite(14500(16,R),28082(14),14874(14),36952(14),38419(14))]. given #2051 (A,wt=45): 29043 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(18204),rewrite(28082(6),28082(11),28082(15),28082(17),28082(18))]. given #2052 (F,wt=19): 63746 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(z,f(z,y)))))) = c_0. [para(12782(a,1),62874(a,1,2,2,2,1,2)),rewrite(28082(8),52718(9))]. given #2053 (F,wt=19): 63763 f(x,f(c_0,f(f(y,y),f(f(z,y),f(z,f(x,z)))))) = c_0. [para(62874(a,1),37923(a,1)),rewrite(28082(3),14500(7,R),28082(7),14553(7),28082(6),28082(8)),flip(a)]. Low Water (displace): id=58295, wt=29 given #2054 (T,wt=19): 63765 f(f(x,x),f(c_0,f(y,f(f(z,x),f(z,f(y,z)))))) = c_0. [para(62874(a,1),50699(a,1,1)),rewrite(28082(4),28082(7),14500(7),28082(8),14500(8),14500(8,R),28082(8),14553(8),28082(7),28082(11),14874(13))]. given #2055 (T,wt=19): 63772 f(x,f(c_0,f(y,f(f(z,f(z,x)),f(z,f(z,y)))))) = c_0. [para(60153(a,1),62874(a,1,2,2,2,2)),rewrite(29162(11),14530(10),28082(9),36952(12),29795(10))]. given #2056 (A,wt=45): 29044 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(y,u)))))))) = f(y,z). [back_rewrite(18203),rewrite(28082(6),28082(11),28082(15),28082(17),28082(18))]. given #2057 (F,wt=19): 63779 f(f(c_0,f(x,y)),f(x,f(f(x,z),f(y,f(x,z))))) = c_0. [para(62933(a,1),36585(a,1)),rewrite(28082(8),28082(10)),flip(a)]. given #2058 (F,wt=19): 63780 f(f(c_0,f(x,y)),f(y,f(f(y,z),f(x,f(y,z))))) = c_0. [para(62933(a,1),36616(a,2)),rewrite(14500(26,R),28082(19),14874(19),36952(19),38419(19),28082(9))]. given #2059 (T,wt=19): 63782 f(x,f(c_0,f(y,f(f(z,f(z,x)),f(z,f(y,y)))))) = c_0. [para(62943(a,1),36585(a,1)),rewrite(28082(4),28082(6),28082(8),28082(10),47426(10)),flip(a)]. given #2060 (T,wt=19): 63784 f(f(x,y),f(x,f(z,f(f(x,y),f(y,f(z,y)))))) = x. [para(62944(a,1),28082(a,1)),rewrite(28082(1),28082(2),28082(7),28082(8)),flip(a)]. given #2061 (A,wt=45): 29052 f(f(x,y),f(y,f(c_0,f(f(z,f(x,y)),f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(z,f(z,f(v,f(c_0,f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(18038),rewrite(28082(4),28082(8),28082(9),28082(14),28082(18),28082(19))]. given #2062 (F,wt=19): 63796 f(f(x,y),f(y,f(z,f(f(x,y),f(x,f(z,x)))))) = y. [para(62944(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(8),31212(14),28082(8),28082(13),16188(14),28082(3)),flip(a)]. given #2063 (F,wt=19): 63813 f(f(x,y),f(x,f(z,f(f(x,y),f(x,f(z,x)))))) = x. [para(62945(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(8),31166(14),28082(8),28082(13),29798(13),28082(12),29810(12),28082(3)),flip(a)]. given #2064 (T,wt=19): 63814 f(f(x,x),f(c_0,f(y,f(f(z,x),f(z,f(z,y)))))) = c_0. [para(62945(a,1),58628(a,1,1)),rewrite(14500(13,R),28082(9),31010(12))]. given #2065 (T,wt=19): 63820 f(f(x,x),f(c_0,f(y,f(f(x,z),f(z,f(z,y)))))) = c_0. [para(28082(a,1),62946(a,1,2,2)),rewrite(28082(4),28082(7))]. given #2066 (A,wt=55): 29064 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(f(v,f(c_0,f(x,y))),f(f(w,f(x,y)),f(f(x,y),f(v,f(y,v)))))))) = f(x,y). [back_rewrite(17985),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(18),28082(20),28082(21),28082(28))]. given #2067 (F,wt=19): 63821 f(x,f(c_0,f(f(y,y),f(f(y,z),f(z,f(x,z)))))) = c_0. [para(62946(a,1),36586(a,2)),rewrite(28082(7))]. given #2068 (F,wt=19): 63824 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(u,f(x,x)))))) = c_0. [para(62952(a,1),28082(a,1)),rewrite(28082(3),28082(10)),flip(a)]. given #2069 (T,wt=19): 63843 f(f(x,y),f(y,f(z,f(f(x,y),f(y,f(z,y)))))) = y. [para(62979(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(8),31212(14),28082(8),28082(13),43771(13),28082(12),30284(12),28082(3)),flip(a)]. given #2070 (T,wt=19): 63863 f(f(c_0,f(x,y)),f(x,f(f(y,f(x,z)),f(z,z)))) = c_0. [para(62982(a,1),36585(a,1)),rewrite(28082(8),28082(10)),flip(a)]. given #2071 (A,wt=55): 29065 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(y,z))),f(f(u,f(c_0,f(x,y))),f(f(v,f(x,y)),f(f(x,y),f(u,f(u,f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(17984),rewrite(28082(4),28082(8),28082(12),28082(14),28082(15),28082(18),28082(20),28082(21),28082(28))]. given #2072 (F,wt=19): 63865 f(f(c_0,f(x,y)),f(y,f(f(x,f(y,z)),f(z,z)))) = c_0. [para(62982(a,1),36616(a,2)),rewrite(14500(26,R),28082(19),14874(19),36952(19),38419(19),28082(9))]. given #2073 (F,wt=19): 63880 f(f(c_0,f(x,y)),f(x,f(f(z,z),f(y,f(x,z))))) = c_0. [para(22(a,1),62989(a,1,1,2,2,2,2)),rewrite(28082(9))]. given #2074 (T,wt=19): 63899 f(f(x,f(x,y)),f(x,f(z,f(y,f(x,f(z,z)))))) = x. [para(62989(a,1),51981(a,1,2,2,2)),rewrite(14500(8,R),28082(8),28082(10),14874(10),28082(8))]. given #2075 (T,wt=19): 63906 f(f(x,f(y,f(y,f(z,x)))),f(x,f(u,f(z,x)))) = x. [para(63044(a,1),28670(a,1,2,2)),rewrite(28082(11),31178(12),28082(9),16188(10),28082(8)),flip(a)]. given #2076 (A,wt=55): 29067 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(f(v,f(c_0,f(y,z))),f(f(w,f(y,z)),f(f(y,z),f(v,f(z,v)))))))) = f(y,z). [back_rewrite(17972),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(20),28082(22),28082(23))]. given #2077 (F,wt=19): 63946 f(x,f(c_0,f(f(y,z),f(f(u,f(x,x)),f(y,z))))) = c_0. [para(63249(a,1),36586(a,2)),rewrite(28082(7))]. given #2078 (F,wt=19): 63960 f(f(x,x),f(c_0,f(y,f(f(z,f(y,y)),f(x,u))))) = c_0. [para(63249(a,1),55468(a,1,2,2,2)),rewrite(28082(11),14553(11),28082(9),14500(9),28082(9))]. given #2079 (T,wt=19): 63966 f(x,f(y,f(f(z,y),f(u,f(x,x))))) = f(x,f(z,y)). [para(63258(a,1),12782(a,1,2,2)),rewrite(12782(4),28082(6)),flip(a)]. given #2080 (T,wt=19): 64004 f(x,f(c_0,f(y,f(f(z,f(x,z)),f(z,f(y,z)))))) = c_0. [para(63330(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(5)),flip(a)]. given #2081 (A,wt=55): 29068 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(f(v,f(c_0,f(y,z))),f(f(w,f(y,z)),f(f(y,z),f(v,f(y,v)))))))) = f(y,z). [back_rewrite(17971),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(20),28082(22),28082(23))]. given #2082 (F,wt=19): 64006 f(x,f(c_0,f(y,f(f(z,f(y,z)),f(z,f(z,x)))))) = c_0. [para(63330(a,1),28082(a,1)),rewrite(28082(3),28082(5),28082(7),28082(10)),flip(a)]. given #2083 (F,wt=19): 64014 f(x,f(c_0,f(y,f(f(z,f(y,z)),f(z,f(x,z)))))) = c_0. [para(63330(a,1),28180(a,1,2,2)),rewrite(14873(4),28082(5),28082(7)),flip(a)]. given #2084 (T,wt=19): 64015 f(x,f(c_0,f(y,f(f(z,f(z,y)),f(z,f(z,x)))))) = c_0. [para(63330(a,1),36585(a,1)),rewrite(28082(2),28082(8),28082(10),47426(10)),flip(a)]. given #2085 (T,wt=19): 64045 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(z,f(z,x)))))) = c_0. [para(63359(a,1),28082(a,1)),rewrite(28082(3),28082(7),28082(10)),flip(a)]. given #2086 (A,wt=47): 29085 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(f(u,f(c_0,f(x,z))),f(f(v,f(x,z)),f(f(x,z),f(u,f(x,u)))))))) = f(x,z). [back_rewrite(17915),rewrite(28082(4),28082(8),28082(12),28082(16),28082(18),28082(19))]. given #2087 (F,wt=19): 64049 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(z,f(x,z)))))) = c_0. [para(63359(a,1),28180(a,1,2,2)),rewrite(14873(4),28082(7)),flip(a)]. given #2088 (F,wt=19): 64061 f(f(x,x),f(f(y,y),f(f(x,z),f(y,f(x,x))))) = x. [para(22(a,1),63381(a,1,2,2,2,2)),rewrite(28082(4),28082(5),28082(6),14500(11,R),28082(11),14553(11))]. given #2089 (T,wt=19): 64183 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(z,f(y,z)))))) = c_0. [para(63635(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(3)),flip(a)]. given #2090 (T,wt=19): 64185 f(x,f(c_0,f(y,f(f(z,f(y,z)),f(z,f(y,x)))))) = c_0. [para(63635(a,1),28082(a,1)),rewrite(28082(7),28082(10)),flip(a)]. given #2091 (A,wt=47): 29086 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(f(u,f(c_0,f(x,z))),f(f(v,f(x,z)),f(f(x,z),f(u,f(z,u)))))))) = f(x,z). [back_rewrite(17914),rewrite(28082(4),28082(8),28082(12),28082(16),28082(18),28082(19))]. given #2092 (F,wt=19): 64186 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(z,f(z,y)))))) = c_0. [para(28082(a,1),63635(a,1,2,2)),rewrite(28082(2),28082(4),28082(7))]. given #2093 (F,wt=19): 64195 f(x,f(c_0,f(y,f(f(z,f(z,y)),f(z,f(y,x)))))) = c_0. [para(63635(a,1),29343(a,1,2,2)),rewrite(28082(3),28082(5),28082(9),29262(9),28082(5),28082(7)),flip(a)]. given #2094 (T,wt=19): 64196 f(x,f(c_0,f(y,f(f(z,f(x,z)),f(z,f(x,y)))))) = c_0. [para(63635(a,1),36586(a,2)),rewrite(28082(6),28082(7))]. given #2095 (T,wt=17): 64479 f(f(x,x),f(f(x,y),f(y,f(y,f(z,x))))) = c_0. [para(32343(a,1),64196(a,1,2,2,2,2,2)),rewrite(28082(9),28082(11),28082(12),28082(13),38165(15),28082(7))]. given #2096 (A,wt=51): 29089 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(f(u,f(c_0,f(x,z))),f(f(v,f(x,z)),f(f(x,z),f(u,f(u,f(w,f(x,z)))))))))) = f(x,z). [back_rewrite(17905),rewrite(28082(4),28082(8),28082(12),28082(14),28082(15),28082(18),28082(20),28082(21))]. given #2097 (F,wt=17): 64486 f(f(x,x),f(f(y,x),f(y,f(y,f(z,x))))) = c_0. [para(64479(a,1),28670(a,1,1,2)),rewrite(28082(5),28082(6),28082(12),52701(19),29846(7),28082(3)),flip(a)]. given #2098 (F,wt=19): 64197 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(z,f(x,z)))))) = c_0. [para(63635(a,1),37762(a,1)),flip(a)]. given #2099 (T,wt=19): 64205 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(z,f(z,x)))))) = c_0. [para(63637(a,1),28082(a,1)),rewrite(28082(5),28082(10)),flip(a)]. given #2100 (T,wt=19): 64210 f(x,f(c_0,f(y,f(f(z,f(z,x)),f(z,f(y,x)))))) = c_0. [para(63637(a,1),29343(a,1,2,2)),rewrite(28082(3),28082(5),28082(9),29262(9),28082(5),28082(7)),flip(a)]. given #2101 (A,wt=51): 29096 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(z,f(z,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(17849),rewrite(28082(5),28082(6),28082(9),28082(13),28082(17),28082(19),28082(20))]. given #2102 (F,wt=19): 64224 f(x,f(c_0,f(f(y,y),f(f(y,z),f(z,f(z,x)))))) = c_0. [para(63763(a,1),28082(a,1)),rewrite(28082(4),28082(5),28082(10)),flip(a)]. given #2103 (F,wt=19): 64232 f(x,f(c_0,f(f(y,y),f(f(z,y),f(z,f(z,x)))))) = c_0. [para(63763(a,1),29343(a,1,2,2)),rewrite(28082(2),28082(8),29262(8),28082(5)),flip(a)]. given #2104 (T,wt=19): 64269 f(f(x,f(x,y)),f(x,f(f(x,z),f(y,f(x,z))))) = x. [para(63779(a,1),28424(a,1,2,2,2)),rewrite(28082(10),14874(10),28082(8))]. given #2105 (T,wt=19): 64340 f(f(x,f(x,y)),f(x,f(f(y,f(x,z)),f(z,z)))) = x. [para(63863(a,1),28424(a,1,2,2,2)),rewrite(28082(10),14874(10),28082(8))]. given #2106 (A,wt=51): 29097 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(z,f(z,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(y,u)))))))) = f(y,z). [back_rewrite(17846),rewrite(28082(5),28082(6),28082(9),28082(13),28082(17),28082(19),28082(20))]. given #2107 (F,wt=19): 64379 f(f(x,f(x,y)),f(x,f(f(z,z),f(y,f(x,z))))) = x. [para(63880(a,1),28424(a,1,2,2,2)),rewrite(28082(10),14874(10),28082(8))]. given #2108 (F,wt=19): 64390 f(f(c_0,f(x,y)),f(y,f(f(z,z),f(x,f(z,y))))) = c_0. [para(63880(a,1),28670(a,1,1,2)),rewrite(28082(2),28082(6),28082(8),28082(13),28082(16),52701(22),42327(10),28082(3),28082(6)),flip(a)]. given #2109 (T,wt=19): 64425 f(f(x,f(y,x)),f(x,f(z,f(y,f(x,f(z,z)))))) = x. [para(63899(a,1),28670(a,1,2,2)),rewrite(28082(5),31166(13),28082(11),16188(12),28082(1)),flip(a)]. given #2110 (T,wt=19): 64445 f(x,f(c_0,f(f(y,y),f(f(z,f(x,x)),f(y,u))))) = c_0. [para(63960(a,1),36586(a,2)),rewrite(28082(7))]. given #2111 (A,wt=51): 29102 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(17824),rewrite(28082(5),28082(6),28082(9),28082(13),28082(17),28082(19),28082(20))]. given #2112 (F,wt=19): 64472 f(x,f(c_0,f(y,f(f(z,f(z,y)),f(z,f(x,y)))))) = c_0. [para(64183(a,1),29343(a,1,2,2)),rewrite(28082(3),28082(5),28082(9),29262(9),28082(5),28082(7)),flip(a)]. given #2113 (F,wt=19): 64480 f(x,f(c_0,f(y,f(f(z,f(z,x)),f(z,f(x,y)))))) = c_0. [para(64196(a,1),29343(a,1,2,2)),rewrite(28082(1),28082(9),29262(9),28082(3)),flip(a)]. given #2114 (T,wt=19): 64535 f(f(x,f(y,x)),f(x,f(f(y,f(x,z)),f(z,z)))) = x. [para(64340(a,1),28670(a,1,2,2)),rewrite(28082(5),31166(13),28082(11),16188(12),28082(1)),flip(a)]. given #2115 (T,wt=19): 64550 f(f(x,f(y,x)),f(x,f(f(z,z),f(y,f(z,x))))) = x. [para(64379(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(5),28082(8),31166(13),28082(7),28082(11),16188(12),28082(1),28082(4)),flip(a)]. given #2116 (A,wt=51): 29103 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(y,u)))))))) = f(y,z). [back_rewrite(17822),rewrite(28082(5),28082(6),28082(9),28082(13),28082(17),28082(19),28082(20))]. given #2117 (F,wt=21): 29310 f(f(c_0,f(x,f(y,z))),f(f(y,z),f(u,f(x,f(y,z))))) = c_0. [para(15611(a,1),29300(a,1,2,2)),rewrite(14500(5,R),28082(4),28082(9))]. given #2118 (F,wt=21): 29381 f(f(x,y),f(z,f(c_0,f(u,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [para(15587(a,1),28173(a,1,2,2)),rewrite(14500(9,R),28082(6),14874(12),28082(9),15587(15))]. given #2119 (T,wt=21): 29394 f(x,f(f(x,f(y,f(z,z))),f(z,u))) = f(x,f(y,f(z,z))). [para(28173(a,1),28196(a,1,2,2)),rewrite(28082(4))]. given #2120 (T,wt=21): 29419 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(y,z)))) = f(u,f(y,z)). [para(15611(a,1),29367(a,1,2,2,2)),rewrite(14500(5,R),28082(4),28082(9))]. given #2121 (A,wt=39): 29111 f(f(x,f(f(x,y),f(x,f(z,x)))),f(x,f(f(u,f(c_0,f(z,x))),f(f(v,f(z,x)),f(f(z,x),f(u,f(x,u))))))) = x. [back_rewrite(17768),rewrite(28082(4),28082(8),28082(10),28082(11),28082(13),28082(17),28082(19))]. given #2122 (F,wt=21): 29434 f(f(c_0,f(x,f(y,y))),f(z,f(c_0,f(y,u)))) = f(x,f(y,y)). [para(28173(a,1),29367(a,1,2,2,2)),rewrite(14500(5,R),28082(4),28082(6))]. given #2123 (F,wt=21): 29525 f(f(x,y),f(c_0,f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(29203(a,1),29506(a,1,2,2,2)),rewrite(14500(7,R),28082(5),14553(8),28082(6),28082(7))]. given #2124 (T,wt=21): 29550 f(x,f(f(x,y),f(z,f(f(x,y),f(u,f(x,x)))))) = f(x,y). [para(28216(a,1),28196(a,1,2,1)),rewrite(28082(6),28216(13))]. given #2125 (T,wt=21): 29570 f(f(f(x,y),f(x,z)),f(f(x,y),f(u,f(x,x)))) = f(x,y). [para(20544(a,1),28424(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2126 (A,wt=39): 29117 f(f(x,f(c_0,f(y,z))),f(f(u,f(y,z)),f(c_0,f(f(c_0,f(y,z)),f(u,f(u,f(x,f(c_0,f(y,z))))))))) = f(c_0,f(y,z)). [back_rewrite(17711),rewrite(28082(6),28082(11),28082(12),28082(17))]. given #2127 (F,wt=21): 29579 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(f(x,z),f(x,u)))) = x. [para(28424(a,1),28086(a,1,2,2,2,2)),rewrite(28082(7),28424(16))]. given #2128 (F,wt=21): 29635 f(f(f(x,y),f(x,z)),f(f(x,z),f(u,f(x,x)))) = f(x,z). [para(20544(a,1),28425(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2129 (T,wt=21): 29640 f(f(f(x,y),f(y,z)),f(f(x,f(x,y)),f(y,z))) = f(y,z). [para(28196(a,1),28425(a,1,2,2,2)),rewrite(28082(7))]. given #2130 (T,wt=21): 29667 f(f(x,f(y,f(c_0,f(x,z)))),f(c_0,f(f(x,z),f(x,u)))) = x. [para(28829(a,1),28086(a,1,2,2,2,2)),rewrite(28082(8),28829(18))]. given #2131 (A,wt=59): 29119 f(f(x,y),f(f(z,f(x,y)),f(f(f(c_0,f(x,y)),f(z,f(z,f(u,f(c_0,f(x,y)))))),f(f(v,f(x,y)),f(c_0,f(f(c_0,f(x,y)),f(v,f(v,f(w,f(c_0,f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(17688),rewrite(28082(2),28082(6),28082(7),28082(12),28082(14),28082(19),28082(20),28082(25),28082(31))]. given #2132 (F,wt=21): 29737 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(y,u),f(y,z)))) = c_0. [para(19297(a,1),20253(a,1,1)),rewrite(28082(1),14500(8,R),28082(8),28082(11))]. given #2133 (F,wt=21): 29741 f(f(c_0,f(x,f(x,f(y,z)))),f(y,f(f(y,u),f(y,z)))) = c_0. [para(19297(a,1),21213(a,1,1)),rewrite(28082(1),28082(7),28082(10))]. given #2134 (T,wt=21): 29755 f(f(c_0,f(x,f(x,f(y,z)))),f(z,f(f(y,z),f(z,u)))) = c_0. [para(19297(a,1),28135(a,1,2))]. given #2135 (T,wt=21): 29758 f(f(c_0,f(x,y)),f(z,f(y,f(f(x,y),f(y,u))))) = f(x,y). [para(19297(a,1),29367(a,1,2,2)),rewrite(14500(3,R),28082(3))]. given #2136 (A,wt=45): 29129 f(f(x,f(c_0,f(y,z))),f(f(u,f(y,z)),f(f(v,f(c_0,f(y,z))),f(f(c_0,f(y,z)),f(u,f(u,f(x,f(c_0,f(y,z))))))))) = f(c_0,f(y,z)). [back_rewrite(17555),rewrite(28082(6),28082(10),28082(11),28082(16),28082(20),28082(21))]. given #2137 (F,wt=21): 29803 f(f(x,x),f(c_0,f(y,f(y,f(z,f(f(x,u),f(x,v))))))) = c_0. [para(29375(a,1),21213(a,1,1,2)),rewrite(28082(2),14500(2),28082(7))]. given #2138 (F,wt=21): 29897 f(f(x,f(x,f(c_0,f(y,z)))),f(c_0,f(f(x,y),f(x,u)))) = x. [para(29424(a,1),28086(a,1,2,2,2,2)),rewrite(28082(8),29424(18))]. given #2139 (T,wt=21): 29959 f(f(x,f(x,f(c_0,f(y,z)))),f(c_0,f(f(x,z),f(x,u)))) = x. [para(29526(a,1),28086(a,1,2,2,2,2)),rewrite(28082(8),29526(18))]. given #2140 (T,wt=21): 29967 f(f(x,f(x,f(y,y))),f(x,f(z,f(f(y,u),f(y,v))))) = x. [para(29375(a,1),29526(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(9))]. given #2141 (A,wt=41): 29130 f(f(x,y),f(f(z,f(x,y)),f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(z,f(z,f(v,f(c_0,f(x,y))))))))) = f(c_0,f(x,y)). [back_rewrite(17554),rewrite(28082(3),28082(7),28082(8),28082(13),28082(17),28082(18))]. given #2142 (F,wt=21): 30010 f(x,f(f(x,y),f(z,f(f(x,y),f(u,f(x,u)))))) = f(x,y). [para(29564(a,1),28196(a,1,2,1)),rewrite(28082(6),29564(13))]. given #2143 (F,wt=21): 30127 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(f(y,u),f(y,v))))))) = c_0. [para(29375(a,1),29846(a,1,1,2)),rewrite(14500(11,R),28082(8))]. given #2144 (T,wt=21): 30215 f(f(x,y),f(x,f(x,f(c_0,f(z,f(f(y,u),f(y,v))))))) = x. [para(29375(a,1),29877(a,1,1,2)),rewrite(14500(10,R),28082(7))]. given #2145 (T,wt=21): 30306 f(f(x,f(x,f(y,y))),f(x,f(z,f(f(u,y),f(y,v))))) = x. [para(29935(a,1),29526(a,1,2,2,2,2)),rewrite(28082(7),14500(7),28082(9))]. given #2146 (A,wt=49): 29135 f(f(x,f(y,z)),f(c_0,f(f(f(y,z),f(x,f(y,z))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17455),rewrite(28082(6),28082(11),28082(13),28082(14),28082(17),28082(19),28082(20))]. given #2147 (F,wt=17): 64669 f(f(x,f(y,x)),f(x,f(f(y,x),f(z,u)))) = x. [para(30306(a,1),32746(a,1,2,2,1)),rewrite(22(4),28082(2),22(7),28082(5),17394(6),22(12),28082(10),17394(11))]. given #2148 (F,wt=17): 64677 f(f(x,f(y,x)),f(f(y,x),f(z,x))) = f(y,x). [para(28670(a,1),30306(a,1,2)),rewrite(28082(2),28082(3),29720(4),28082(3),28082(4),29720(5),22(4),28082(2),28082(4),28082(5),28082(8),28082(9),29720(10))]. given #2149 (T,wt=19): 64679 f(f(x,x),f(f(x,f(y,x)),f(z,f(z,f(y,x))))) = c_0. [para(30306(a,1),62723(a,1,1,2,2,2)),rewrite(22(4),28082(2),22(12),28082(10),17394(11),28082(8),14500(8),28082(8))]. given #2150 (T,wt=19): 64685 f(f(x,x),f(f(y,f(y,f(z,x))),f(x,f(z,x)))) = c_0. [para(64679(a,1),28670(a,1,2,2)),rewrite(28082(10),28082(18),28082(20),28082(21),62905(21),28082(8)),flip(a)]. given #2151 (A,wt=49): 29136 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(f(v,f(y,z)),f(f(y,z),f(w,f(y,z)))))))) = f(y,z). [back_rewrite(17454),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(19),28082(20))]. given #2152 (F,wt=21): 30628 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(y,y)))) = f(u,f(y,y)). [para(28123(a,1),28174(a,1,2,2)),rewrite(14500(3,R),28082(3),28123(15))]. given #2153 (F,wt=21): 30630 f(x,f(f(y,z),f(x,f(u,f(y,y))))) = f(x,f(u,f(y,y))). [para(28123(a,1),29204(a,1,2,2,2)),rewrite(28123(12))]. given #2154 (T,wt=21): 30687 f(f(f(x,y),f(x,z)),f(f(x,y),f(u,f(x,u)))) = f(x,y). [para(28182(a,1),28424(a,1,2,2,2)),rewrite(28082(6),28082(10),14874(10))]. given #2155 (T,wt=21): 30690 f(f(f(x,y),f(x,z)),f(f(x,z),f(u,f(x,u)))) = f(x,z). [para(28182(a,1),28425(a,1,2,2,2)),rewrite(28082(6),28082(10),14874(10))]. given #2156 (A,wt=37): 29137 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(17453),rewrite(28082(6),28082(8),28082(9),28082(12),28082(14),28082(15))]. given #2157 (F,wt=21): 30820 f(f(c_0,f(x,y)),f(z,f(c_0,f(f(x,y),f(u,v))))) = f(x,y). [para(29241(a,1),28173(a,1,2,2)),rewrite(14500(7,R),28082(5),28082(10),29241(17))]. given #2158 (F,wt=21): 30828 f(f(x,f(x,f(c_0,f(y,z)))),f(x,f(f(y,z),f(u,v)))) = x. [para(29241(a,1),29526(a,1,2,2,2,2)),rewrite(28082(10))]. given #2159 (T,wt=21): 30845 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(f(x,x),f(u,v)))))))) = c_0. [para(29242(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(12),14874(12))]. given #2160 (T,wt=21): 30846 f(x,f(f(x,y),f(z,f(c_0,f(f(x,x),f(u,v)))))) = f(x,y). [para(29242(a,1),29564(a,1,2,2,2)),rewrite(28082(11),14874(11))]. given #2161 (A,wt=59): 29139 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(f(v,f(c_0,f(y,z))),f(f(w,f(y,z)),f(f(y,z),f(v,f(v,f(v6,f(y,z)))))))))) = f(y,z). [back_rewrite(17449),rewrite(28082(6),28082(8),28082(9),28082(12),28082(16),28082(18),28082(19),28082(22),28082(24),28082(25))]. given #2162 (F,wt=21): 30853 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(f(x,x),f(u,v)))))))) = c_0. [para(29244(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #2163 (F,wt=21): 30855 f(x,f(f(x,y),f(z,f(z,f(f(x,x),f(u,v)))))) = f(x,y). [para(29244(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2164 (T,wt=21): 30967 f(f(f(x,y),f(y,z)),f(f(x,y),f(u,f(y,y)))) = f(x,y). [para(29365(a,1),28424(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2165 (T,wt=19): 64731 f(f(x,f(y,x)),f(x,f(z,f(x,f(u,f(y,x)))))) = x. [para(30967(a,1),29306(a,1,2,2,2,2,2)),rewrite(22(4),28082(2),22(5),22(5),22(11))]. given #2166 (A,wt=49): 29141 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(c_0,f(f(v,f(x,y)),f(f(x,y),f(w,f(x,y)))))))) = f(x,y). [back_rewrite(17447),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(17),28082(18),28082(25))]. given #2167 (F,wt=19): 64732 f(f(x,f(y,x)),f(x,f(z,f(c_0,f(u,f(y,x)))))) = x. [para(30967(a,1),31372(a,1,2,2,2,2,2)),rewrite(22(4),28082(2),22(5),22(12))]. given #2168 (F,wt=19): 64734 f(f(x,f(y,f(x,f(z,x)))),f(x,f(u,f(z,x)))) = x. [para(30967(a,1),45775(a,1,2,2,2)),rewrite(22(3),22(4),28082(2),22(7),22(11))]. given #2169 (T,wt=21): 30968 f(f(f(x,y),f(y,z)),f(f(y,z),f(u,f(y,y)))) = f(y,z). [para(29365(a,1),28425(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2170 (T,wt=17): 64736 f(f(c_0,f(x,y)),f(x,f(f(z,x),f(x,y)))) = c_0. [para(30968(a,1),29802(a,1,2,2)),rewrite(28082(4),28082(8))]. given #2171 (A,wt=49): 29144 f(f(x,y),f(f(x,f(x,y)),f(c_0,f(f(z,f(x,y)),f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(z,f(z,f(v,f(c_0,f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(17356),rewrite(28082(6),28082(10),28082(11),28082(16),28082(20),28082(21))]. given #2172 (F,wt=21): 31002 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(z,z)))) = f(u,f(z,z)). [para(29366(a,1),28174(a,1,2,2)),rewrite(14500(3,R),28082(3),29366(15))]. given #2173 (F,wt=21): 31006 f(x,f(f(y,z),f(x,f(u,f(z,z))))) = f(x,f(u,f(z,z))). [para(29366(a,1),29204(a,1,2,2,2)),rewrite(29366(12))]. given #2174 (T,wt=21): 31043 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(f(x,x),f(u,v)))))))) = c_0. [para(29397(a,1),21213(a,1,1,2)),rewrite(14553(3),28082(8))]. given #2175 (T,wt=21): 31047 f(x,f(y,f(c_0,f(z,f(c_0,f(f(x,x),f(u,v))))))) = f(x,x). [para(29397(a,1),28173(a,1,2,2)),rewrite(14500(13,R),28082(8),14553(12),28082(10),29397(17))]. given #2176 (A,wt=59): 29147 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(f(v,f(c_0,f(x,y))),f(f(x,f(x,y)),f(f(x,y),f(v,f(v,f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(17339),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(16),28082(17),28082(20),28082(23),28082(30))]. given #2177 (F,wt=21): 31051 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(f(x,x),f(u,v)))))) = c_0. [para(29397(a,1),28982(a,1,1,2,2)),rewrite(28082(9),29397(17),14553(12),28082(10))]. given #2178 (F,wt=21): 31053 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(f(y,y),f(u,v)))))) = x. [para(29397(a,1),29526(a,1,2,2,2,2)),rewrite(14553(10),28082(10))]. given #2179 (T,wt=21): 31076 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(u,f(c_0,f(x,v)))))))) = x. [para(29433(a,1),28173(a,1,2,2)),rewrite(14500(15,R),28082(9),28082(12),14500(12),28082(12),29433(21))]. given #2180 (T,wt=21): 31082 f(f(x,x),f(f(x,y),f(z,f(c_0,f(u,f(c_0,f(x,v))))))) = c_0. [para(29433(a,1),28982(a,1,1,2,2)),rewrite(28082(8),28082(9),29433(19),28082(11),14500(11),28082(11))]. given #2181 (A,wt=59): 29148 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(f(v,f(c_0,f(x,y))),f(f(w,f(x,y)),f(f(x,y),f(v,f(v,f(x,f(x,y)))))))))) = f(x,y). [back_rewrite(17338),rewrite(28082(4),28082(6),28082(7),28082(10),28082(14),28082(17),28082(20),28082(22),28082(23),28082(30))]. given #2182 (F,wt=21): 31084 f(x,f(f(x,y),f(z,f(c_0,f(u,f(c_0,f(y,v))))))) = f(x,y). [para(29433(a,1),29200(a,1,2,2,2)),rewrite(28082(9),29433(19))]. given #2183 (F,wt=21): 31128 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(u,f(c_0,f(v,x)))))))) = x. [para(29534(a,1),28173(a,1,2,2)),rewrite(14500(15,R),28082(9),28082(12),14500(12),28082(12),29534(21))]. given #2184 (T,wt=21): 31135 f(f(x,x),f(f(x,y),f(z,f(c_0,f(u,f(c_0,f(v,x))))))) = c_0. [para(29534(a,1),28982(a,1,1,2,2)),rewrite(28082(8),28082(9),29534(19),28082(11),14500(11),28082(11))]. given #2185 (T,wt=21): 31137 f(x,f(f(x,y),f(z,f(c_0,f(u,f(c_0,f(v,y))))))) = f(x,y). [para(29534(a,1),29200(a,1,2,2,2)),rewrite(28082(9),29534(19))]. given #2186 (A,wt=59): 29149 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(x,f(x,y))))),f(f(u,f(c_0,f(x,y))),f(f(v,f(x,y)),f(f(x,y),f(u,f(u,f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(17336),rewrite(28082(4),28082(7),28082(10),28082(14),28082(16),28082(17),28082(20),28082(22),28082(23),28082(30))]. given #2187 (F,wt=21): 31185 f(f(f(x,f(y,y)),f(y,z)),f(f(y,z),f(y,u))) = f(y,z). [para(28801(a,1),31166(a,1,2,2)),rewrite(28082(7),28801(13))]. given #2188 (F,wt=21): 31192 f(f(f(x,y),f(y,z)),f(f(x,y),f(u,f(y,u)))) = f(x,y). [para(29565(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),29565(13))]. given #2189 (T,wt=21): 31207 f(f(x,f(x,f(c_0,f(y,z)))),f(x,f(f(u,v),f(y,z)))) = x. [para(29644(a,1),29526(a,1,2,2,2,2)),rewrite(28082(10))]. given #2190 (T,wt=21): 31236 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(f(y,u),f(y,v))))))) = c_0. [para(29375(a,1),21236(a,1,1,2))]. given #2191 (A,wt=25): 29208 f(f(x,y),f(f(c_0,f(x,y)),f(z,f(u,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [para(15587(a,1),28196(a,1,2,1)),rewrite(28082(9),15587(17))]. given #2192 (F,wt=21): 31248 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(f(x,z),f(u,z))))))) = c_0. [para(31212(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(4),28082(5),28082(6),28082(7))]. given #2193 (F,wt=21): 31253 f(x,f(f(x,y),f(f(x,z),f(f(x,z),f(u,z))))) = f(x,y). [para(31212(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(4),28082(5),28082(6))]. given #2194 (T,wt=21): 31261 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(f(x,x),f(u,v)))))) = c_0. [para(29678(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(11))]. given #2195 (T,wt=21): 31273 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(c_0,f(y,v))))) = c_0. [para(29680(a,1),20922(a,1,2,2,2)),rewrite(28082(3),28082(13),14874(14))]. given #2196 (A,wt=31): 29229 f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))) = f(x,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))). [para(19029(a,1),19010(a,1,2,1)),rewrite(28082(8),19029(16),28082(16))]. given #2197 (F,wt=21): 31274 f(f(x,x),f(c_0,f(y,f(f(x,z),f(u,f(c_0,f(x,v))))))) = c_0. [para(29680(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(12))]. given #2198 (F,wt=21): 31282 f(f(x,f(x,y)),f(f(x,y),f(z,f(c_0,f(x,u))))) = f(x,y). [para(29680(a,1),28424(a,1,2,2,2)),rewrite(28082(10),14553(10),28082(8),28082(9))]. given #2199 (T,wt=21): 31349 f(f(x,f(y,f(x,f(z,x)))),f(c_0,f(f(z,x),f(x,u)))) = x. [para(29683(a,1),31166(a,1,2,2)),rewrite(28082(8),28082(9),28082(10),29683(18))]. given #2200 (T,wt=21): 31370 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,f(x,y))))))) = f(x,y). [para(12782(a,1),29715(a,1,2,1)),rewrite(28082(5),12782(12))]. given #2201 (A,wt=31): 29231 f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))) = f(c_0,f(f(x,y),f(x,f(f(x,z),f(x,u))))). [para(19010(a,2),19029(a,2,2,1)),rewrite(28082(7),19029(10),28082(16)),flip(a)]. given #2202 (F,wt=21): 31525 f(f(f(x,y),f(y,z)),f(f(y,z),f(u,f(y,u)))) = f(y,z). [para(29740(a,1),28425(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2203 (F,wt=21): 31533 f(f(c_0,f(x,f(x,y))),f(f(y,y),f(f(x,x),f(y,y)))) = c_0. [para(29740(a,1),30222(a,2)),rewrite(28082(2),28082(8),28082(12),14500(15,R),28082(12),14874(12),28082(9),30511(9))]. given #2204 (T,wt=21): 31601 f(f(x,y),f(x,f(z,f(x,f(x,f(f(y,u),f(y,v))))))) = x. [para(29806(a,1),28196(a,1,2,1)),rewrite(28082(7),29806(16))]. given #2205 (T,wt=21): 31657 f(f(x,f(y,f(x,z))),f(x,f(x,f(f(z,u),f(z,v))))) = x. [para(29806(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),29806(16))]. given #2206 (A,wt=35): 29233 f(x,f(x,f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))))) = f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u))))). [para(19029(a,1),19029(a,1,2,2,2,1)),rewrite(28082(8),19029(19),28082(19))]. given #2207 (F,wt=21): 31713 f(f(x,f(x,y)),f(x,f(z,f(x,f(f(y,y),f(u,v)))))) = x. [para(29957(a,1),28196(a,1,2,1)),rewrite(28082(7),29957(16))]. given #2208 (F,wt=17): 64837 f(x,f(f(y,x),f(f(x,x),f(z,u)))) = f(y,x). [para(28801(a,1),31713(a,1,2,2)),rewrite(14500(3,R),28082(3),14553(3),14500(4,R),28082(4),14553(4),28082(3),17394(4),14500(3,R),28082(3),14553(3),14500(9,R),28082(9),14553(9))]. given #2209 (T,wt=21): 31715 f(f(x,f(x,y)),f(x,f(f(y,f(z,f(x,y))),f(u,v)))) = x. [para(28084(a,1),29957(a,1,1,2)),rewrite(14500(13,R),28082(9),14874(9))]. given #2210 (T,wt=21): 31720 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(z,z),f(u,v)))) = c_0. [para(29957(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(9),12782(9),28082(11))]. given #2211 (A,wt=37): 29269 f(f(x,y),f(f(z,f(x,y)),f(f(x,y),f(u,f(x,y))))) = f(c_0,f(f(z,f(x,y)),f(f(x,y),f(u,f(x,y))))). [para(15611(a,1),19104(a,1,1)),rewrite(15611(9),28082(5),15611(11),28082(8),15611(18),28082(14),15611(20),28082(17))]. given #2212 (F,wt=21): 31738 f(f(x,y),f(z,f(z,f(c_0,f(x,y))))) = f(f(x,y),f(z,z)). [para(29957(a,1),30222(a,1,2,2,2)),rewrite(14500(3,R),28082(3),14500(6,R),28082(6),28082(8),14783(8),28082(5),14874(5),14500(4,R),28082(4),14500(10,R),28082(10),14500(13,R),28082(13),28082(15),14783(15),28082(12),14874(12))]. given #2213 (F,wt=21): 31739 f(x,f(f(y,z),f(f(x,x),f(y,z)))) = f(x,f(c_0,f(y,z))). [para(29957(a,1),30222(a,2,2)),rewrite(14500(3,R),28082(3),14500(6,R),28082(6),28082(8),14783(8),28082(5),14874(5),14500(4,R),28082(4),14500(7,R),28082(7),28082(9),14783(9),28082(6),14874(6),28082(4),14500(9,R),28082(9))]. given #2214 (T,wt=21): 31743 f(f(c_0,f(x,y)),f(x,f(z,f(x,f(f(y,y),f(u,v)))))) = c_0. [para(29957(a,1),29217(a,1,1,2,2)),rewrite(28082(4),12782(4),29957(10),28082(8))]. given #2215 (T,wt=21): 31748 f(f(x,f(y,f(x,f(x,z)))),f(x,f(f(z,z),f(u,v)))) = x. [para(29957(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),29957(16))]. given #2216 (A,wt=31): 29357 f(f(x,f(f(x,y),f(x,z))),f(f(u,f(f(x,y),f(x,z))),f(v,f(f(x,y),f(x,z))))) = c_0. [para(19010(a,1),19141(a,1,1)),rewrite(14874(11),14874(15))]. given #2217 (F,wt=21): 31802 f(f(c_0,f(x,f(y,y))),f(x,f(z,f(f(y,u),f(y,v))))) = c_0. [para(29375(a,1),31782(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(10))]. given #2218 (F,wt=21): 31809 f(f(c_0,f(x,f(y,y))),f(x,f(z,f(f(u,y),f(y,v))))) = c_0. [para(29935(a,1),31782(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(10))]. given #2219 (T,wt=13): 64943 f(f(x,x),f(f(y,x),f(z,x))) = c_0. [para(28670(a,1),31809(a,1,2)),rewrite(28082(3),28082(4),29720(5),22(4),28082(2),14500(2),28082(3),28082(4))]. given #2220 (T,wt=21): 31811 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(y,z),f(u,v)))) = c_0. [para(29241(a,1),31782(a,1,2,2,2,2)),rewrite(28082(11))]. given #2221 (A,wt=33): 29358 f(f(f(x,y),f(x,z)),f(f(u,f(x,f(f(x,y),f(x,z)))),f(v,f(c_0,f(f(x,y),f(x,z)))))) = c_0. [para(19010(a,1),19141(a,1,2,1,2))]. given #2222 (F,wt=21): 31813 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(f(y,y),f(u,v)))))) = c_0. [para(29397(a,1),31782(a,1,2,2,2,2)),rewrite(14553(11),28082(11))]. given #2223 (F,wt=21): 31817 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(u,v),f(y,z)))) = c_0. [para(29644(a,1),31782(a,1,2,2,2,2)),rewrite(28082(11))]. given #2224 (T,wt=21): 31828 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(f(x,u),f(x,v))))))) = c_0. [para(30152(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #2225 (T,wt=21): 31906 f(f(x,f(y,f(x,z))),f(x,f(x,f(f(u,z),f(z,v))))) = x. [para(30229(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),30229(16))]. given #2226 (A,wt=23): 29373 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(y,z))))) = f(u,f(c_0,f(y,z))). [para(15611(a,1),28173(a,1,1,2))]. given #2227 (F,wt=21): 31917 f(f(x,y),f(y,f(z,f(y,f(y,f(f(x,u),f(x,v))))))) = y. [para(30245(a,1),28196(a,1,2,1)),rewrite(28082(7),30245(16))]. given #2228 (F,wt=21): 32179 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(y,z),f(u,v)))) = c_0. [para(31262(a,1),20922(a,1,2,2,2)),rewrite(28082(5),28082(13),14874(14))]. given #2229 (T,wt=21): 32182 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(f(x,y),f(u,v)))) = c_0. [para(28173(a,1),31262(a,1,1,2)),rewrite(28173(11))]. given #2230 (T,wt=21): 32183 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(f(x,y),f(u,v)))) = c_0. [para(28173(a,1),31262(a,1,2,2,1)),rewrite(28082(5),28174(7),28082(6))]. given #2231 (A,wt=29): 29382 f(f(f(x,f(y,y)),f(y,z)),f(c_0,f(f(y,z),f(u,f(x,f(y,y)))))) = f(x,f(y,y)). [para(28173(a,1),15879(a,1,1,2)),rewrite(28082(3),28082(9),28174(11),28082(9))]. given #2232 (F,wt=21): 32193 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(y,z),f(u,v)))) = c_0. [para(31263(a,1),20922(a,1,2,2,2)),rewrite(28082(5),28082(13),14874(14))]. given #2233 (F,wt=21): 32201 f(x,f(f(y,f(c_0,f(z,f(x,x)))),f(f(x,x),f(u,v)))) = c_0. [para(29368(a,1),31263(a,1,1,2)),rewrite(14553(3),29368(11))]. given #2234 (T,wt=21): 32245 f(f(x,y),f(z,f(c_0,f(x,f(c_0,f(y,u)))))) = f(c_0,f(x,y)). [para(31421(a,1),28173(a,1,2,2)),rewrite(14500(9,R),28082(6),14874(12),28082(9),31421(15))]. given #2235 (T,wt=21): 32247 f(f(x,y),f(y,f(z,f(x,x)))) = f(c_0,f(y,f(z,f(x,x)))). [para(28173(a,1),31421(a,1,2)),rewrite(28082(3),28082(4),28082(5),28082(9))]. given #2236 (A,wt=25): 29386 f(f(c_0,f(x,f(c_0,f(y,f(z,z))))),f(f(z,u),f(v,f(y,f(z,z))))) = c_0. [para(28173(a,1),20544(a,1,2,1)),rewrite(14500(6,R),28082(5),28082(8),28082(11))]. given #2237 (F,wt=21): 32257 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(x,f(c_0,f(y,u))))) = c_0. [para(31421(a,1),28982(a,1,1,2,2)),rewrite(28082(9),31421(16),14874(14),28082(11))]. given #2238 (F,wt=21): 32342 f(f(x,f(x,y)),f(x,f(z,f(x,f(f(x,y),f(u,v)))))) = x. [para(31701(a,1),28196(a,1,2,1)),rewrite(28082(7),31701(16))]. given #2239 (T,wt=21): 32357 f(f(c_0,f(x,y)),f(x,f(z,f(x,f(f(x,y),f(u,v)))))) = c_0. [para(31701(a,1),29217(a,1,1,2,2)),rewrite(28082(4),12782(4),31701(10),28082(8))]. given #2240 (T,wt=21): 32359 f(f(x,f(y,f(x,f(x,z)))),f(x,f(f(x,z),f(u,v)))) = x. [para(31701(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),31701(16))]. given #2241 (A,wt=31): 29387 f(f(x,f(y,y)),f(f(z,y),f(u,f(x,f(y,y))))) = f(c_0,f(f(z,y),f(u,f(x,f(y,y))))). [para(28173(a,1),19010(a,1,2,1)),rewrite(28082(5),28173(15),28082(13)),flip(a)]. given #2242 (F,wt=21): 32373 f(f(c_0,f(x,y)),f(x,f(f(y,f(z,f(x,y))),f(u,v)))) = c_0. [para(28084(a,1),31712(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #2243 (F,wt=21): 32375 f(f(c_0,f(x,y)),f(y,f(f(x,f(z,f(x,y))),f(u,v)))) = c_0. [para(28086(a,1),31712(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #2244 (T,wt=21): 32388 f(f(c_0,f(x,f(y,z))),f(x,f(f(u,v),f(c_0,f(y,z))))) = c_0. [para(29957(a,1),31712(a,1,2,2,1)),rewrite(14500(4,R),28082(4),14500(7,R),28082(7),28082(9),14783(9),28082(6),14874(6),14500(7,R),28082(7),28082(9))]. given #2245 (T,wt=21): 32473 f(f(c_0,f(x,y)),f(f(z,f(x,z)),f(f(x,x),f(z,z)))) = c_0. [para(32062(a,1),20922(a,1,2,2,2)),rewrite(28082(12),14874(13))]. given #2246 (A,wt=31): 29388 f(f(x,f(y,y)),f(f(y,z),f(u,f(x,f(y,y))))) = f(c_0,f(f(y,z),f(u,f(x,f(y,y))))). [para(28173(a,1),19010(a,1,2,2)),rewrite(28082(4),28082(5),28082(6),28082(12),28082(16),28174(18),28082(14)),flip(a)]. given #2247 (F,wt=21): 32475 f(f(c_0,f(x,y)),f(f(z,f(y,z)),f(f(y,y),f(z,z)))) = c_0. [para(32062(a,1),21213(a,1,2,2,2)),rewrite(28082(12),14874(13))]. given #2248 (F,wt=21): 32477 f(x,f(c_0,f(y,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))) = c_0. [para(32062(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(11))]. given #2249 (T,wt=21): 32486 f(f(c_0,f(x,y)),f(f(z,f(z,x)),f(f(z,z),f(x,x)))) = c_0. [para(32062(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(1),28082(5),14500(10),14553(10),28082(8),28082(10))]. given #2250 (T,wt=21): 32685 f(f(x,y),f(x,f(z,f(y,y)))) = f(c_0,f(x,f(z,f(y,y)))). [para(28173(a,1),32229(a,1,2)),rewrite(28082(5))]. given #2251 (A,wt=25): 29391 f(f(f(x,f(y,y)),f(y,z)),f(f(y,z),f(u,f(x,f(y,y))))) = f(y,z). [para(28173(a,1),26932(a,1,1,2)),rewrite(28082(3),28082(8),28174(10),28082(8),28082(14),28174(16))]. given #2252 (F,wt=19): 65119 f(f(c_0,f(x,y)),f(y,f(f(z,f(x,x)),f(x,y)))) = c_0. [para(29391(a,1),32544(a,1,2,2)),rewrite(28082(5),28082(9))]. given #2253 (F,wt=21): 32751 f(f(x,y),f(x,f(z,f(x,f(f(x,f(x,y)),f(u,v)))))) = x. [para(32337(a,1),28196(a,1,2,1)),rewrite(28082(7),32337(16))]. given #2254 (T,wt=21): 32765 f(f(x,f(y,f(x,z))),f(x,f(f(x,f(x,z)),f(u,v)))) = x. [para(32337(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),32337(16))]. given #2255 (T,wt=21): 32781 f(f(x,y),f(y,f(z,f(y,f(f(y,f(x,y)),f(u,v)))))) = y. [para(32343(a,1),28196(a,1,2,1)),rewrite(28082(7),32343(16))]. given #2256 (A,wt=33): 29392 f(f(f(x,f(y,y)),f(z,f(x,f(y,y)))),f(f(y,u),f(z,f(x,f(y,y))))) = f(z,f(x,f(y,y))). [para(28173(a,1),26932(a,1,2,2)),rewrite(28082(5),28082(9),28082(10),28082(11),28082(15))]. given #2257 (F,wt=21): 32839 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(y,y),f(u,v)))) = c_0. [para(32372(a,1),20922(a,1,2,2,2)),rewrite(28082(5),28082(13),14874(14))]. given #2258 (F,wt=21): 32889 f(f(x,x),f(c_0,f(f(x,y),f(z,u)))) = f(f(x,x),f(z,u)). [para(32407(a,1),28084(a,1,2,2,2)),rewrite(28082(5))]. given #2259 (T,wt=21): 32891 f(f(c_0,f(x,y)),f(z,f(c_0,f(f(x,x),f(u,v))))) = f(x,y). [para(32407(a,1),28173(a,1,2,2)),rewrite(14500(7,R),28082(5),28082(10),32407(17))]. given #2260 (T,wt=21): 32896 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(f(x,x),f(u,v)))) = c_0. [para(32407(a,1),28982(a,1,1,2,2)),rewrite(28082(6),32407(14),28082(10))]. given #2261 (A,wt=39): 29396 f(f(x,f(y,y)),f(f(x,f(y,y)),f(c_0,f(f(y,z),f(u,f(x,f(y,y))))))) = f(c_0,f(f(y,z),f(u,f(x,f(y,y))))). [para(28173(a,1),19029(a,1,2,2,2,1)),rewrite(28082(6),28082(9),28082(18),28174(20),28082(18))]. given #2262 (F,wt=21): 32898 f(x,f(f(x,f(y,z)),f(f(y,y),f(u,v)))) = f(x,f(y,z)). [para(32407(a,1),29200(a,1,2,2,2)),rewrite(28082(6),32407(14))]. given #2263 (F,wt=21): 32903 f(f(x,f(x,f(c_0,f(y,z)))),f(x,f(f(y,y),f(u,v)))) = x. [para(32407(a,1),29526(a,1,2,2,2,2)),rewrite(28082(10))]. given #2264 (T,wt=21): 32908 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(f(y,y),f(u,v)))))) = c_0. [para(32407(a,1),29846(a,1,1,2)),rewrite(14500(10,R),28082(8))]. given #2265 (T,wt=21): 32910 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(f(y,y),f(u,v)))))) = x. [para(32407(a,1),29877(a,1,1,2)),rewrite(14500(9,R),28082(7))]. given #2266 (A,wt=27): 29401 f(f(f(x,f(y,y)),f(y,z)),f(f(x,f(y,y)),f(u,f(y,z)))) = f(x,f(y,y)). [para(28173(a,1),27606(a,1,1,2)),rewrite(28082(3),28082(10),28174(12))]. given #2267 (F,wt=21): 32929 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(y,y),f(u,v)))) = c_0. [para(32407(a,1),31782(a,1,2,2,2,2)),rewrite(28082(11))]. given #2268 (F,wt=21): 33001 f(f(x,y),f(c_0,f(f(y,y),f(z,u)))) = f(f(y,y),f(z,u)). [para(32883(a,1),22(a,1,1)),rewrite(14500(8,R),28082(6))]. given #2269 (T,wt=21): 33006 f(f(c_0,f(x,y)),f(f(y,f(z,f(x,y))),f(u,v))) = f(x,y). [para(28084(a,1),32883(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10),28084(15))]. given #2270 (T,wt=21): 33007 f(f(c_0,f(x,y)),f(f(x,f(z,f(x,y))),f(u,v))) = f(x,y). [para(28086(a,1),32883(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10),28086(15))]. given #2271 (A,wt=27): 29402 f(f(x,y),f(f(z,f(y,y)),f(u,f(f(x,y),f(z,f(y,y)))))) = f(z,f(y,y)). [para(28173(a,1),27673(a,1,1)),rewrite(28173(11),28082(7))]. given #2272 (F,wt=21): 33013 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(f(z,z),f(u,v)))))) = c_0. [para(32883(a,1),29846(a,1,1,2)),rewrite(14500(10,R),28082(8))]. given #2273 (F,wt=21): 33015 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(f(z,z),f(u,v)))))) = x. [para(32883(a,1),29877(a,1,1,2)),rewrite(14500(9,R),28082(7))]. given #2274 (T,wt=21): 33225 f(f(x,y),f(c_0,f(z,f(z,f(x,f(f(y,u),f(y,v))))))) = c_0. [para(29375(a,1),28138(a,1,1,2))]. given #2275 (T,wt=21): 33245 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(f(u,x),f(x,v))))))) = c_0. [para(29920(a,1),28138(a,1,2,2,2)),rewrite(28082(13),14553(13),28082(11),14500(11),28082(11))]. given #2276 (A,wt=27): 29403 f(f(x,y),f(f(z,f(x,x)),f(u,f(f(z,f(x,x)),f(x,y))))) = f(z,f(x,x)). [para(28173(a,1),27673(a,1,2,2,2,2)),rewrite(28082(4),28174(6),28082(6))]. given #2277 (F,wt=21): 33246 f(f(c_0,f(x,y)),f(x,f(z,f(x,f(f(x,u),f(x,y)))))) = c_0. [para(30115(a,1),28138(a,1,2,2,2)),rewrite(28082(12),14874(12),28082(10))]. given #2278 (F,wt=21): 33257 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(f(u,y),f(y,v))))))) = c_0. [para(32544(a,1),28138(a,1,2,2,2)),rewrite(28082(13),14874(14),28082(11))]. given #2279 (T,wt=21): 33279 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(z,f(c_0,f(y,u)))))) = y. [para(28180(a,1),28114(a,1,2,2,1)),rewrite(28082(9))]. given #2280 (T,wt=21): 33282 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(u,f(c_0,f(y,v))))) = c_0. [para(28180(a,1),28182(a,1,2,1)),rewrite(28082(10))]. given #2281 (A,wt=37): 29404 f(f(x,y),f(f(z,f(x,y)),f(f(x,y),f(u,f(y,y))))) = f(c_0,f(f(z,f(x,y)),f(f(x,y),f(u,f(y,y))))). [para(28173(a,1),19104(a,1,1)),rewrite(28173(9),28082(5),28173(11),28082(8),28173(18),28082(14),28173(20),28082(17))]. given #2282 (F,wt=21): 33284 f(f(x,x),f(f(y,f(c_0,f(x,z))),f(u,f(c_0,f(x,v))))) = c_0. [para(28180(a,1),29680(a,1,2,1))]. given #2283 (F,wt=21): 33285 f(f(x,y),f(c_0,f(x,f(f(y,z),f(u,f(c_0,f(y,v))))))) = c_0. [para(28180(a,1),29802(a,1,2,2,2,1)),rewrite(28082(8))]. given #2284 (T,wt=21): 33287 f(f(x,y),f(x,f(x,f(f(y,z),f(u,f(c_0,f(y,v))))))) = x. [para(28180(a,1),29806(a,1,2,2,2,1)),rewrite(28082(7))]. given #2285 (T,wt=21): 33290 f(f(x,y),f(c_0,f(y,f(f(x,z),f(u,f(c_0,f(x,v))))))) = c_0. [para(28180(a,1),30152(a,1,2,2,2,1)),rewrite(28082(8))]. given #2286 (A,wt=47): 29415 f(f(x,f(y,y)),f(f(y,z),f(f(f(y,y),f(x,f(y,y))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))) = f(y,y). [back_rewrite(28413),rewrite(29372(12))]. given #2287 (F,wt=21): 33291 f(f(x,y),f(y,f(y,f(f(x,z),f(u,f(c_0,f(x,v))))))) = y. [para(28180(a,1),30245(a,1,2,2,2,1)),rewrite(28082(7))]. given #2288 (F,wt=21): 33292 f(f(x,y),f(x,f(c_0,f(z,f(c_0,f(y,u)))))) = f(c_0,f(x,y)). [para(28180(a,1),31421(a,1,2,2,2))]. given #2289 (T,wt=21): 33295 f(f(x,y),f(y,f(c_0,f(z,f(c_0,f(x,u)))))) = f(c_0,f(x,y)). [para(28180(a,1),32229(a,1,2,2,2))]. given #2290 (T,wt=21): 33310 f(f(x,x),f(c_0,f(y,f(y,f(z,f(f(u,x),f(x,v))))))) = c_0. [para(29935(a,1),33264(a,1,2,2)),rewrite(28082(10),14500(10),28082(10))]. given #2291 (A,wt=29): 29416 f(f(x,f(y,y)),f(f(y,z),f(f(u,f(y,y)),f(f(y,y),f(x,f(y,y)))))) = f(y,y). [back_rewrite(28412),rewrite(29372(14))]. given #2292 (F,wt=21): 33327 f(f(x,f(y,f(c_0,f(x,z)))),f(c_0,f(f(x,y),f(x,u)))) = x. [para(33274(a,1),28086(a,1,2,2,2,2)),rewrite(28082(8),33274(18))]. given #2293 (F,wt=21): 33461 f(x,f(c_0,f(y,f(f(z,f(z,x)),f(f(z,z),f(x,x)))))) = c_0. [para(32062(a,1),33312(a,1,2,2,2)),rewrite(28082(2),28082(6),14500(12),14553(12),28082(10))]. given #2294 (T,wt=21): 33558 f(f(x,y),f(x,f(z,f(x,f(y,f(f(x,u),f(x,v))))))) = x. [para(33318(a,1),28196(a,1,2,1)),rewrite(28082(7),33318(16))]. given #2295 (T,wt=21): 33615 f(f(x,f(y,f(x,z))),f(x,f(z,f(f(x,u),f(x,v))))) = x. [para(33318(a,1),31166(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),33318(16))]. given #2296 (A,wt=49): 29417 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(u,f(z,f(c_0,f(x,y)))),f(f(z,f(c_0,f(x,y))),f(f(x,y),f(v,f(x,y))))))) = f(z,f(c_0,f(x,y))). [back_rewrite(28918),rewrite(29373(12))]. given #2297 (F,wt=21): 33656 f(f(x,y),f(x,f(y,f(f(x,z),f(u,f(c_0,f(x,v))))))) = x. [para(28180(a,1),33318(a,1,2,2,2,1)),rewrite(28082(7))]. given #2298 (F,wt=21): 33670 f(f(x,y),f(y,f(z,f(y,f(x,f(f(y,u),f(y,v))))))) = y. [para(33393(a,1),28196(a,1,2,1)),rewrite(28082(7),33393(16))]. given #2299 (T,wt=21): 33738 f(f(x,y),f(y,f(x,f(f(y,z),f(u,f(c_0,f(y,v))))))) = y. [para(28180(a,1),33393(a,1,2,2,2,1)),rewrite(28082(7))]. given #2300 (T,wt=21): 34312 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(u,f(c_0,f(y,v))))) = c_0. [para(29367(a,1),28818(a,1,1,2,2)),rewrite(28082(5),28082(6),29367(13),28082(8),28082(11))]. given #2301 (A,wt=23): 29423 f(f(x,f(y,y)),f(f(y,z),f(y,u))) = f(c_0,f(f(y,z),f(y,u))). [para(19034(a,1),29367(a,1,2,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(5),14500(5),28082(6))]. given #2302 (F,wt=21): 34314 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(u,f(c_0,f(v,y))))) = c_0. [para(29506(a,1),28818(a,1,1,2,2)),rewrite(28082(5),28082(6),29506(13),28082(8),28082(11))]. given #2303 (F,wt=21): 34569 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(c_0,f(v,y))))) = c_0. [para(29506(a,1),28938(a,1,1,2,2)),rewrite(28082(5),28082(6),29506(14),28082(9),14500(9),28082(11))]. given #2304 (T,wt=21): 34794 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(x,y)))) = f(u,f(x,y)). [para(31421(a,1),29343(a,1,2,2,2,2)),rewrite(14874(10),31421(16),14874(14))]. given #2305 (T,wt=21): 34834 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(f(x,x),f(u,v)))))) = c_0. [para(29397(a,1),34791(a,1,2,2,2,2)),rewrite(28082(7),14553(11),28082(9),28082(11))]. given #2306 (A,wt=29): 29426 f(x,f(f(y,f(c_0,f(x,z))),f(u,f(x,f(y,f(c_0,f(x,z))))))) = f(y,f(c_0,f(x,z))). [para(29367(a,1),27747(a,1,1)),rewrite(29367(14),28082(9))]. given #2307 (F,wt=21): 34963 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(f(x,u),f(x,v))))) = c_0. [para(29375(a,1),29380(a,1,2,2)),rewrite(28082(9),28082(10))]. given #2308 (F,wt=21): 34965 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(f(u,x),f(x,v))))) = c_0. [para(29935(a,1),29380(a,1,2,2)),rewrite(28082(9),28082(10))]. given #2309 (T,wt=21): 35379 f(x,f(c_0,f(f(y,y),f(x,f(z,f(f(y,u),f(y,v))))))) = c_0. [para(29375(a,1),35262(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #2310 (T,wt=21): 35383 f(x,f(c_0,f(f(y,y),f(x,f(z,f(f(u,y),f(y,v))))))) = c_0. [para(29935(a,1),35262(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #2311 (A,wt=41): 29442 f(f(x,y),f(c_0,f(x,f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(c_0,f(f(x,u),f(x,f(v,f(v,f(x,w))))))))))) = c_0. [back_rewrite(28553),rewrite(29423(17))]. given #2312 (F,wt=21): 35385 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(y,z),f(u,v)))))) = c_0. [para(29241(a,1),35262(a,1,2,2,2,2)),rewrite(28082(9))]. given #2313 (F,wt=21): 35386 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(f(y,y),f(u,v)))))))) = c_0. [para(29397(a,1),35262(a,1,2,2,2,2)),rewrite(14553(11),28082(9))]. given #2314 (T,wt=21): 35390 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(u,v),f(y,z)))))) = c_0. [para(29644(a,1),35262(a,1,2,2,2,2)),rewrite(28082(9))]. given #2315 (T,wt=21): 35393 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(y,y),f(u,v)))))) = c_0. [para(32407(a,1),35262(a,1,2,2,2,2)),rewrite(28082(9))]. given #2316 (A,wt=55): 29444 f(f(x,x),f(c_0,f(f(y,f(x,x)),f(f(x,f(y,f(y,f(x,z)))),f(f(u,f(x,x)),f(f(x,f(u,f(u,f(x,v)))),f(c_0,f(f(x,w),f(x,f(v6,f(v6,f(x,v7)))))))))))) = c_0. [back_rewrite(28537),rewrite(29423(23))]. given #2317 (F,wt=21): 35401 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(f(y,u),f(y,v))))))) = c_0. [para(29375(a,1),35277(a,1,2,2,1,2)),rewrite(14500(11,R),28082(8))]. given #2318 (F,wt=21): 35404 f(f(f(x,y),f(x,z)),f(c_0,f(f(x,f(u,v)),f(v,v)))) = c_0. [para(35277(a,1),29228(a,1,1,2,2)),rewrite(28082(9),14874(9),28082(10))]. given #2319 (T,wt=21): 35415 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(f(y,y),f(u,v)))))) = c_0. [para(32407(a,1),35277(a,1,2,2,1,2)),rewrite(14500(10,R),28082(8))]. given #2320 (T,wt=21): 35416 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(f(z,z),f(u,v)))))) = c_0. [para(32883(a,1),35277(a,1,2,2,1,2)),rewrite(14500(10,R),28082(8))]. given #2321 (A,wt=43): 29447 f(f(x,y),f(y,f(f(z,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(y,f(c_0,f(f(y,u),f(y,f(v,f(v,f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(28517),rewrite(29423(17))]. given #2322 (F,wt=21): 35422 f(f(f(x,y),f(y,z)),f(c_0,f(f(x,y),f(c_0,f(x,u))))) = c_0. [para(28196(a,1),35341(a,1,2,2,1))]. given #2323 (F,wt=21): 36087 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(f(z,u),f(z,v))))))) = c_0. [para(35263(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #2324 (T,wt=21): 36108 f(x,f(f(x,y),f(f(x,z),f(f(z,u),f(z,v))))) = f(x,y). [para(35263(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2325 (T,wt=21): 36143 f(x,f(c_0,f(f(x,y),f(f(y,z),f(u,f(c_0,f(y,v))))))) = c_0. [para(28180(a,1),35263(a,1,2,2,2,1)),rewrite(28082(8))]. given #2326 (A,wt=47): 29456 f(f(x,y),f(y,f(f(y,z),f(y,f(y,f(f(u,f(y,y)),f(f(y,f(u,f(u,f(x,y)))),f(c_0,f(f(y,v),f(y,f(w,f(w,f(y,v6))))))))))))) = y. [back_rewrite(28483),rewrite(29423(17))]. given #2327 (F,wt=21): 36192 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(z,z),f(u,v)))))))) = c_0. [para(35373(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #2328 (F,wt=21): 36194 f(x,f(f(x,y),f(z,f(x,f(f(z,z),f(u,v)))))) = f(x,y). [para(35373(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2329 (T,wt=21): 36476 f(x,f(c_0,f(y,f(c_0,f(f(z,x),f(f(z,u),f(z,v))))))) = c_0. [para(36154(a,1),28138(a,1,2,2,2)),rewrite(14500(13),14553(13),28082(11))]. given #2330 (T,wt=21): 36606 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(y,f(c_0,f(x,u))))) = c_0. [para(29431(a,1),29300(a,1,2,1)),rewrite(14500(7,R),28082(5),14874(5),28082(9),28082(10))]. given #2331 (A,wt=45): 29459 f(f(x,y),f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(c_0,f(f(x,f(x,u)),f(c_0,f(f(x,v),f(x,f(w,f(w,f(x,v6))))))))))) = x. [back_rewrite(28477),rewrite(29423(19))]. given #2332 (F,wt=21): 36627 f(f(x,y),f(z,f(c_0,f(y,f(c_0,f(x,u)))))) = f(c_0,f(x,y)). [para(29431(a,1),29506(a,1,2,2,2)),rewrite(14500(7,R),28082(5),14874(5))]. given #2333 (F,wt=21): 36730 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(y,x)))) = f(u,f(y,x)). [para(29431(a,2),29366(a,1,1)),rewrite(36584(7),14500(12,R),28082(10),14874(10),14500(16,R),28082(14),14874(14))]. given #2334 (T,wt=19): 65619 f(f(x,x),f(f(c_0,f(x,y)),f(f(z,u),f(v,w)))) = x. [para(30828(a,1),36730(a,1,2,2)),rewrite(28082(7),28082(9),14500(9),28082(9),30828(19))]. given #2335 (T,wt=19): 65659 f(f(x,x),f(f(c_0,f(x,y)),f(z,f(c_0,f(u,v))))) = x. [para(52692(a,1),65619(a,1,2,2))]. given #2336 (A,wt=45): 29460 f(f(x,y),f(y,f(f(y,f(f(y,z),f(f(x,y),f(y,z)))),f(c_0,f(f(y,f(y,u)),f(c_0,f(f(y,v),f(y,f(w,f(w,f(y,v6))))))))))) = y. [back_rewrite(28476),rewrite(29423(19))]. given #2337 (F,wt=21): 36742 f(f(x,x),f(f(y,f(c_0,f(x,z))),f(x,f(c_0,f(u,v))))) = c_0. [para(29431(a,2),29680(a,1,2,1)),rewrite(28082(6),28082(8),36550(8),28082(10))]. given #2338 (F,wt=21): 36796 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(y,x),f(u,v)))) = c_0. [para(29431(a,2),31712(a,1,1,2)),rewrite(36584(8),14500(13,R),28082(11),14874(11))]. given #2339 (T,wt=21): 36950 f(f(x,x),f(c_0,f(y,f(z,f(c_0,f(x,u)))))) = f(y,f(x,x)). [para(29427(a,1),29431(a,1,1,2)),rewrite(28082(2),14500(2),28082(7),29427(20),28082(11),14500(11))]. given #2340 (T,wt=21): 37383 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(y,y),f(u,v)))))))) = c_0. [back_rewrite(32840),rewrite(36952(11))]. given #2341 (A,wt=43): 29463 f(f(x,y),f(f(z,f(y,y)),f(f(y,f(z,f(z,f(x,y)))),f(c_0,f(f(y,u),f(c_0,f(f(y,v),f(y,f(w,f(w,f(y,v6))))))))))) = y. [back_rewrite(28462),rewrite(29423(18))]. given #2342 (F,wt=21): 37399 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(y,x),f(u,v)))))))) = c_0. [back_rewrite(32194),rewrite(36952(11))]. given #2343 (F,wt=21): 37400 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(f(y,x),f(u,v)))))))) = c_0. [back_rewrite(32180),rewrite(36952(11))]. given #2344 (T,wt=21): 37403 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(f(x,x),f(u,v)))))))) = c_0. [back_rewrite(31717),rewrite(36952(11))]. given #2345 (T,wt=21): 37418 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(f(y,x),f(u,v)))))))) = c_0. [back_rewrite(31206),rewrite(28082(10),36952(12),36952(12))]. given #2346 (A,wt=45): 29467 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(f(z,f(y,y)),f(f(y,f(z,f(z,f(y,u)))),f(c_0,f(f(y,v),f(y,f(w,f(w,f(y,v6))))))))))) = y. [back_rewrite(28442),rewrite(29423(19))]. given #2347 (F,wt=21): 37423 f(x,f(c_0,f(y,f(c_0,f(f(y,f(z,f(y,x))),f(u,v)))))) = c_0. [back_rewrite(30917),rewrite(36952(11))]. given #2348 (F,wt=21): 37424 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,f(y,x))),f(u,v)))))) = c_0. [back_rewrite(30916),rewrite(36952(11))]. given #2349 (T,wt=21): 37427 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(f(y,x),f(u,v)))))))) = c_0. [back_rewrite(30817),rewrite(36952(11))]. given #2350 (T,wt=21): 37881 f(f(c_0,f(x,y)),f(z,f(c_0,f(f(y,y),f(u,v))))) = f(x,y). [para(29397(a,1),36585(a,1,2,2)),rewrite(14553(3),28082(9),28082(11)),flip(a)]. given #2351 (A,wt=45): 29468 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(f(z,f(y,y)),f(f(y,f(z,f(z,f(x,y)))),f(c_0,f(f(y,u),f(y,f(v,f(v,f(y,w))))))))))) = y. [back_rewrite(28441),rewrite(29423(19))]. given #2352 (F,wt=21): 37896 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(y,z),f(u,v)))) = x. [para(36585(a,1),29957(a,1,1,2)),rewrite(28082(2),28082(7),28082(10),14500(12,R),28082(10),14874(10))]. given #2353 (F,wt=21): 37905 f(f(x,y),f(z,f(x,f(c_0,f(z,y))))) = f(f(z,z),f(x,y)). [para(36585(a,1),30511(a,1,1,2)),rewrite(28082(2),28082(7),28082(10),14500(12,R),28082(10),14874(10),28082(7),28082(10),28082(13),14500(15,R),28082(13),14874(13))]. given #2354 (T,wt=19): 65839 f(x,f(f(y,z),f(y,f(f(x,y),f(u,u))))) = f(x,y). [para(37905(a,2),54451(a,1,2,2,2)),rewrite(28082(4),56081(8))]. given #2355 (T,wt=19): 65840 f(x,f(f(y,z),f(z,f(f(x,z),f(u,u))))) = f(x,z). [para(37905(a,2),54463(a,1,2,2,2)),rewrite(28082(4),56081(8))]. given #2356 (A,wt=53): 29481 f(f(x,y),f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(f(u,f(x,x)),f(f(x,f(u,f(u,f(x,v)))),f(c_0,f(f(x,w),f(x,f(v6,f(v6,f(x,v7))))))))))) = x. [back_rewrite(28403),rewrite(29423(22))]. given #2357 (F,wt=19): 65857 f(f(x,x),f(f(y,z),f(y,f(u,x)))) = f(y,f(x,x)). [para(37905(a,2),61681(a,1)),rewrite(14500(4,R),28082(4),14553(4),14500(9,R),28082(9),14553(9),65855(13),28082(6),28082(8))]. given #2358 (F,wt=19): 65858 f(f(x,x),f(f(y,z),f(z,f(u,x)))) = f(z,f(x,x)). [para(37905(a,2),61721(a,1)),rewrite(14500(4,R),28082(4),14553(4),14500(9,R),28082(9),14553(9),65855(13),28082(6),28082(8))]. given #2359 (T,wt=19): 65924 f(x,f(f(y,z),f(y,f(f(x,y),f(u,v))))) = f(x,y). [para(15611(a,1),65839(a,1,2,2,2,2))]. given #2360 (T,wt=19): 65944 f(x,f(f(y,z),f(z,f(f(x,z),f(u,v))))) = f(x,z). [para(15611(a,1),65840(a,1,2,2,2,2))]. given #2361 (A,wt=49): 29482 f(f(x,y),f(y,f(f(y,f(f(y,z),f(f(x,y),f(y,z)))),f(c_0,f(f(y,u),f(y,f(v,f(v,f(c_0,f(f(y,w),f(y,f(v6,f(v6,f(y,v7)))))))))))))) = y. [back_rewrite(28400),rewrite(29423(19),29423(23))]. given #2362 (F,wt=19): 65963 f(f(x,f(y,f(z,x))),f(c_0,f(z,f(c_0,f(u,x))))) = c_0. [para(43453(a,1),65857(a,1,2,2)),rewrite(14500(9,R),28082(6),28082(8),28082(9),28082(10),14500(20,R),28082(17),31782(18))]. given #2363 (F,wt=19): 66019 f(x,f(f(y,z),f(y,f(f(y,x),f(u,v))))) = f(y,x). [para(65924(a,1),28082(a,2)),rewrite(28082(2),28082(7),28082(8))]. given #2364 (T,wt=19): 66037 f(x,f(f(y,z),f(z,f(f(z,x),f(u,v))))) = f(z,x). [para(65944(a,1),28082(a,2)),rewrite(28082(2),28082(7),28082(8))]. given #2365 (T,wt=19): 66045 f(f(x,f(y,f(x,z))),f(c_0,f(z,f(c_0,f(u,x))))) = c_0. [para(65963(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(2)),flip(a)]. given #2366 (A,wt=49): 29483 f(f(x,y),f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(c_0,f(f(x,u),f(x,f(v,f(v,f(c_0,f(f(x,w),f(x,f(v6,f(v6,f(x,v7)))))))))))))) = x. [back_rewrite(28399),rewrite(29423(19),29423(23))]. given #2367 (F,wt=19): 66046 f(x,f(c_0,f(f(y,f(z,f(x,y))),f(c_0,f(u,y))))) = c_0. [para(65963(a,1),36586(a,2)),rewrite(28082(8))]. given #2368 (F,wt=19): 66050 f(x,f(c_0,f(f(y,f(z,f(y,x))),f(c_0,f(u,y))))) = c_0. [para(66046(a,1),29343(a,1,2,2)),rewrite(28082(7),8394(7),28082(3)),flip(a)]. given #2369 (T,wt=21): 37912 f(f(c_0,f(x,f(y,z))),f(y,f(c_0,f(z,u)))) = f(x,f(y,z)). [para(31421(a,1),36585(a,1,2,2)),rewrite(14874(5),28082(9),28082(11)),flip(a)]. given #2370 (T,wt=21): 37914 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(x,y),f(u,v)))) = c_0. [para(36585(a,1),31712(a,1,1,2)),rewrite(28082(8),28082(11),14500(13,R),28082(11),14874(11))]. given #2371 (A,wt=53): 29484 f(f(x,y),f(y,f(f(y,f(f(y,z),f(f(x,y),f(y,z)))),f(f(u,f(y,y)),f(f(y,f(u,f(u,f(y,v)))),f(c_0,f(f(y,w),f(y,f(v6,f(v6,f(y,v7))))))))))) = y. [back_rewrite(28395),rewrite(29423(22))]. given #2372 (F,wt=21): 37916 f(f(c_0,f(x,y)),f(f(z,f(z,y)),f(f(z,z),f(y,y)))) = c_0. [para(32062(a,1),36585(a,1,2,2)),rewrite(14873(4),28082(2),28082(6),28082(9),28082(11)),flip(a)]. given #2373 (F,wt=21): 37917 f(f(c_0,f(x,f(y,z))),f(z,f(c_0,f(y,u)))) = f(x,f(y,z)). [para(32229(a,1),36585(a,1,2,2)),rewrite(14874(5),28082(9),28082(11)),flip(a)]. given #2374 (T,wt=21): 38018 f(f(x,y),f(c_0,f(z,f(u,f(c_0,f(x,y)))))) = f(z,f(x,y)). [para(15587(a,1),36586(a,2,2,2)),rewrite(28082(7),14874(14))]. given #2375 (T,wt=21): 38025 f(x,f(c_0,f(y,f(f(x,z),f(z,u))))) = f(y,f(c_0,f(x,z))). [para(28196(a,1),36586(a,2,2,2)),rewrite(28082(5))]. given #2376 (A,wt=37): 29486 f(f(x,y),f(y,f(f(y,f(f(y,z),f(f(x,y),f(y,z)))),f(c_0,f(f(y,u),f(y,f(v,f(v,f(y,w))))))))) = y. [back_rewrite(28391),rewrite(29423(16))]. given #2377 (F,wt=21): 38119 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(x,z)))) = f(u,f(x,z)). [para(36586(a,1),29366(a,1,1)),rewrite(28082(7),28082(10),14500(12,R),28082(10),14874(10),28082(11),28082(14),14500(16,R),28082(14),14874(14))]. given #2378 (F,wt=21): 38121 f(x,f(c_0,f(y,f(z,f(c_0,f(f(x,x),f(u,v))))))) = f(x,y). [para(29397(a,1),36586(a,2,2,2)),rewrite(28082(8),14553(13),28082(11))]. given #2379 (T,wt=21): 38129 f(x,f(c_0,f(y,f(f(x,z),f(u,z))))) = f(y,f(c_0,f(x,z))). [para(31212(a,1),36586(a,2,2,2)),rewrite(28082(3),28082(4),28082(5),28082(9))]. given #2380 (T,wt=21): 38154 f(f(x,y),f(c_0,f(z,f(x,f(c_0,f(y,u)))))) = f(z,f(x,y)). [para(31421(a,1),36586(a,2,2,2)),rewrite(28082(7),14874(14))]. given #2381 (A,wt=37): 29487 f(f(x,y),f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(c_0,f(f(x,u),f(x,f(v,f(v,f(x,w))))))))) = x. [back_rewrite(28390),rewrite(29423(16))]. given #2382 (F,wt=21): 38157 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(x,z),f(u,v)))) = c_0. [para(36586(a,1),31712(a,1,1,2)),rewrite(28082(8),28082(11),14500(13,R),28082(11),14874(11))]. given #2383 (F,wt=21): 38161 f(f(x,y),f(c_0,f(z,f(y,f(c_0,f(x,u)))))) = f(z,f(x,y)). [para(32229(a,1),36586(a,2,2,2)),rewrite(28082(7),14874(14))]. given #2384 (T,wt=21): 38226 f(f(x,y),f(z,f(c_0,f(x,f(c_0,f(u,y)))))) = f(c_0,f(x,y)). [para(36586(a,1),29406(a,1,1,2,2)),rewrite(28082(10),14874(12),28082(9),28082(11))]. given #2385 (T,wt=21): 38286 f(c_0,f(f(x,x),f(c_0,f(y,f(x,z))))) = f(c_0,f(y,f(x,x))). [para(36616(a,1),19010(a,1,2)),rewrite(28082(3),14500(3),28082(7),14500(7),28082(9),14500(9),28082(10),14500(10),14500(10,R),28082(10),14553(10),28082(8)),flip(a)]. given #2386 (A,wt=25): 29495 f(f(x,f(y,f(z,x))),f(f(z,x),f(u,f(c_0,f(x,f(y,f(z,x))))))) = c_0. [para(22(a,1),19142(a,1,1,2)),rewrite(28082(2),28082(3),28082(7),22(10),28082(8))]. given #2387 (F,wt=21): 38347 f(f(x,f(x,y)),f(x,f(f(y,f(z,f(x,x))),f(u,v)))) = x. [para(36616(a,1),29957(a,1,1,2)),rewrite(28082(1),14500(13,R),28082(9),14874(9))]. given #2388 (F,wt=21): 38358 f(f(c_0,f(x,y)),f(y,f(f(x,f(z,f(y,y))),f(u,v)))) = c_0. [para(36616(a,1),31712(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10))]. given #2389 (T,wt=21): 38365 f(f(c_0,f(x,y)),f(f(x,f(z,f(y,y))),f(u,v))) = f(x,y). [para(36616(a,1),32883(a,1,1,2)),rewrite(14500(14,R),28082(10),14874(10),36616(15))]. given #2390 (T,wt=21): 38366 f(f(c_0,f(x,y)),f(f(y,f(z,f(x,x))),f(u,v))) = f(x,y). [para(36616(a,1),32883(a,2)),rewrite(36616(7),28082(2),14500(14,R),28082(10),14874(10),28082(10))]. given #2391 (A,wt=35): 29498 f(f(c_0,f(x,f(c_0,f(f(y,y),f(z,f(f(z,u),f(z,v))))))),f(f(y,y),f(c_0,f(f(z,u),f(z,v))))) = c_0. [para(19010(a,1),19142(a,1,2,2,2,2,1)),rewrite(28082(7),14500(7),28082(7),28082(15),14500(15),28082(15),28082(19))]. given #2392 (F,wt=21): 38437 f(x,f(c_0,f(y,f(f(z,x),f(z,u))))) = f(y,f(c_0,f(z,x))). [para(31166(a,1),37762(a,1,2,2)),rewrite(28082(8)),flip(a)]. given #2393 (F,wt=21): 38577 f(x,f(f(y,y),f(c_0,f(z,f(y,u))))) = f(x,f(z,f(y,y))). [para(36546(a,2),29200(a,1,2,2,2)),rewrite(29204(10))]. given #2394 (T,wt=21): 38853 f(x,f(f(y,y),f(c_0,f(z,f(u,y))))) = f(x,f(z,f(y,y))). [para(36547(a,1),29200(a,2,2)),rewrite(29200(13))]. given #2395 (T,wt=21): 38860 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(c_0,f(x,f(u,y))))) = c_0. [para(36547(a,1),29868(a,1,2,2)),rewrite(14500(7,R),28082(7),14553(7),28082(5),28082(6),28082(11))]. given #2396 (A,wt=35): 29499 f(f(x,f(y,f(c_0,f(f(x,z),f(x,f(f(x,u),f(x,v))))))),f(f(x,z),f(c_0,f(f(x,u),f(x,v))))) = c_0. [para(19010(a,2),19142(a,1,1,1)),rewrite(28082(7),28082(14),28082(18))]. given #2397 (F,wt=21): 38899 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,f(x,f(z,y))))) = c_0. [para(36547(a,1),28938(a,1,2,2)),rewrite(28082(10))]. given #2398 (F,wt=21): 38965 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(f(x,z),f(u,v)))))))) = c_0. [para(37452(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(5),28082(12),14874(12))]. given #2399 (T,wt=21): 38971 f(x,f(f(x,y),f(z,f(c_0,f(f(x,z),f(u,v)))))) = f(x,y). [para(37452(a,1),29564(a,1,2,2,2)),rewrite(28082(4),28082(11),14874(11))]. given #2400 (T,wt=21): 38974 f(f(x,x),f(c_0,f(y,f(c_0,f(f(y,f(x,z)),f(u,v)))))) = c_0. [para(29846(a,1),37452(a,1,2,2,2,2,1)),rewrite(28082(6),14874(12),36952(11))]. given #2401 (A,wt=35): 29500 f(f(f(x,y),f(x,f(f(x,z),f(x,u)))),f(x,f(v,f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u)))))))) = c_0. [para(19010(a,2),19142(a,1,2,2,2,2,1)),rewrite(28082(6),28082(14))]. given #2402 (F,wt=21): 38975 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,f(y,y))),f(u,v)))))) = c_0. [para(29868(a,1),37452(a,1,2,2,2,2,1)),rewrite(14874(12),36952(11))]. given #2403 (F,wt=21): 38976 f(x,f(c_0,f(y,f(c_0,f(f(y,f(z,f(x,x))),f(u,v)))))) = c_0. [para(30108(a,1),37452(a,1,2,2,2,2,1)),rewrite(14874(12),36952(11))]. given #2404 (T,wt=21): 38993 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(f(z,x),f(u,v)))))))) = c_0. [para(31782(a,1),37452(a,1,2,2,2,2,1)),rewrite(14874(13),36952(12),36952(12))]. given #2405 (T,wt=21): 39041 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(x,f(c_0,f(u,y))))) = c_0. [para(38004(a,1),28982(a,1,1,2,2)),rewrite(28082(9),38004(16),14874(14),28082(11))]. given #2406 (A,wt=35): 29501 f(f(f(x,y),f(c_0,f(f(x,z),f(x,u)))),f(x,f(v,f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(x,u)))))))) = c_0. [para(19029(a,1),19142(a,1,1,1)),rewrite(28082(7),19029(15),28082(15))]. given #2407 (F,wt=21): 39129 f(f(c_0,f(x,f(x,f(y,z)))),f(y,f(f(z,z),f(u,v)))) = c_0. [para(38026(a,1),28142(a,1,2,2,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(6),28082(10))]. given #2408 (F,wt=21): 39130 f(f(c_0,f(x,y)),f(z,f(x,f(f(y,y),f(u,v))))) = f(x,y). [para(38026(a,1),28173(a,1,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(7),28082(9),38026(16),28082(10))]. given #2409 (T,wt=21): 39144 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(f(y,y),f(u,v)))))) = c_0. [para(38026(a,1),29846(a,1,1,2)),rewrite(14500(16,R),28082(11),14874(11))]. given #2410 (T,wt=19): 66288 f(f(x,x),f(f(y,x),f(f(y,y),f(c_0,f(z,x))))) = c_0. [para(29528(a,1),39144(a,1,2,2)),rewrite(28082(7),28082(9),14500(9),28082(9))]. given #2411 (A,wt=35): 29504 f(f(f(x,y),f(z,f(u,f(y,y)))),f(f(u,f(y,y)),f(v,f(c_0,f(f(x,y),f(z,f(u,f(y,y)))))))) = c_0. [para(28173(a,1),19142(a,1,1,1)),rewrite(28082(4),28173(14),28082(12))]. given #2412 (F,wt=21): 39146 f(f(x,f(y,z)),f(x,f(x,f(z,f(f(y,y),f(u,v)))))) = x. [para(38026(a,1),29877(a,1,1,2)),rewrite(14500(15,R),28082(10),14874(10))]. given #2413 (F,wt=21): 39148 f(f(x,f(x,y)),f(x,f(z,f(y,f(f(x,x),f(u,v)))))) = x. [para(38026(a,1),29950(a,1,1,2)),rewrite(14500(15,R),28082(10),14874(10))]. given #2414 (T,wt=21): 39149 f(f(c_0,f(x,y)),f(x,f(z,f(y,f(f(x,x),f(u,v)))))) = c_0. [para(38026(a,1),30108(a,1,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(10))]. given #2415 (T,wt=21): 39199 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(f(y,y),f(u,v)))))) = c_0. [para(38026(a,1),35277(a,1,2,2,1,2)),rewrite(14500(16,R),28082(11),14874(11))]. given #2416 (A,wt=35): 29505 f(f(f(x,y),f(z,f(u,f(x,x)))),f(f(u,f(x,x)),f(v,f(c_0,f(f(x,y),f(z,f(u,f(x,x)))))))) = c_0. [para(28173(a,1),19142(a,1,1,2)),rewrite(28082(3),28082(4),28082(5),28082(11),28082(15),28174(17),28082(13))]. given #2417 (F,wt=21): 39411 f(x,f(f(y,x),f(z,f(f(y,x),f(u,f(x,u)))))) = f(y,x). [para(22(a,1),29575(a,1,2,2,2,2,2,2)),rewrite(22(3),28082(3))]. given #2418 (F,wt=21): 39636 f(x,f(f(y,x),f(z,f(f(y,x),f(u,f(x,x)))))) = f(y,x). [para(22(a,1),29664(a,1,2,2,2,2,2,2)),rewrite(22(3),28082(4),14500(4))]. given #2419 (T,wt=21): 40086 f(x,f(y,f(f(z,f(x,x)),f(f(x,x),f(u,v))))) = f(x,x). [para(29203(a,1),29797(a,1,1,2,2,2)),rewrite(28082(6),29203(12),14553(10),28082(8),29203(12))]. given #2420 (T,wt=21): 40096 f(f(x,x),f(y,f(f(x,z),f(u,f(f(x,v),f(x,w)))))) = x. [para(29375(a,1),29797(a,1,1,2,2,2)),rewrite(28082(5),28082(6),29375(14),28082(9),14500(9),28082(9),29375(15))]. given #2421 (A,wt=27): 29509 f(f(x,y),f(f(z,f(x,x)),f(u,f(f(x,y),f(z,f(x,x)))))) = f(z,f(x,x)). [para(28174(a,1),27673(a,1,1)),rewrite(28174(11),28082(7))]. given #2422 (F,wt=21): 40104 f(f(x,x),f(y,f(f(x,z),f(u,f(f(v,x),f(x,w)))))) = x. [para(29935(a,1),29797(a,1,1,2,2,2)),rewrite(28082(5),28082(6),29935(14),28082(9),14500(9),28082(9),29935(15))]. given #2423 (F,wt=21): 40164 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(f(x,u),f(x,v))))))) = c_0. [para(29816(a,1),28146(a,1,2,2,2,2)),rewrite(28082(8),28082(11),36952(11))]. given #2424 (T,wt=21): 40613 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(f(z,u),f(z,v))))) = c_0. [para(19010(a,2),29867(a,1,2,2,2,2)),rewrite(14874(11))]. given #2425 (T,wt=21): 40813 f(f(x,f(y,f(z,z))),f(x,f(x,f(f(z,u),f(z,v))))) = x. [para(19010(a,2),29902(a,1,2,2,2,2)),rewrite(14874(10))]. given #2426 (A,wt=37): 29510 f(f(x,y),f(f(z,f(x,y)),f(f(x,y),f(u,f(x,x))))) = f(c_0,f(f(z,f(x,y)),f(f(x,y),f(u,f(x,x))))). [para(28174(a,1),19104(a,1,1)),rewrite(28174(9),28082(5),28174(11),28082(8),28174(18),28082(14),28174(20),28082(17))]. given #2427 (F,wt=21): 40901 f(f(c_0,f(x,f(y,y))),f(x,f(y,f(z,f(c_0,f(u,v)))))) = c_0. [para(29952(a,1),31782(a,1,2,2,2,2)),rewrite(28082(9),14500(9),28082(11))]. given #2428 (F,wt=21): 40941 f(f(x,f(y,z)),f(x,f(x,f(y,f(f(z,z),f(u,v)))))) = x. [para(38026(a,1),29952(a,1,2,2)),rewrite(28082(7),28082(9))]. given #2429 (T,wt=21): 40948 f(f(x,f(y,x)),f(f(y,x),f(z,f(c_0,f(x,u))))) = f(y,x). [para(22(a,1),29962(a,1,1,2)),rewrite(28082(2))]. given #2430 (T,wt=21): 40959 f(x,f(f(y,x),f(z,f(c_0,f(u,f(x,f(y,x))))))) = f(y,x). [para(19213(a,1),29962(a,1,1,2)),rewrite(14500(7,R),28082(6),14874(7),17394(4),28082(5))]. given #2431 (A,wt=43): 29517 f(x,f(f(x,y),f(f(f(x,x),f(z,f(x,x))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(u,f(u,f(w,f(x,x)))))))))) = f(x,x). [back_rewrite(28535),rewrite(28082(1),28082(3),28082(5),29507(10))]. given #2432 (F,wt=21): 41084 f(f(x,f(y,f(z,z))),f(x,f(x,f(f(u,z),f(z,v))))) = x. [para(29683(a,1),29963(a,1,2,2,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(7),14500(7),28082(9))]. given #2433 (F,wt=21): 42151 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(f(z,u),f(z,v))))) = c_0. [para(29375(a,1),30121(a,1,2,2,2,2)),rewrite(28082(10))]. given #2434 (T,wt=21): 42154 f(f(c_0,f(x,f(y,y))),f(x,f(y,f(f(z,u),f(v,w))))) = c_0. [para(29845(a,1),30121(a,1,2,2,2,2)),rewrite(14500(8),28082(10))]. given #2435 (T,wt=21): 42155 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(f(u,z),f(z,v))))) = c_0. [para(29935(a,1),30121(a,1,2,2,2,2)),rewrite(28082(10))]. given #2436 (A,wt=43): 29518 f(x,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(w,f(x,x)))))))) = f(x,x). [back_rewrite(28531),rewrite(29507(19))]. given #2437 (F,wt=21): 42163 f(f(c_0,f(x,y)),f(y,f(z,f(y,f(f(x,y),f(u,v)))))) = c_0. [para(31263(a,1),30121(a,1,1)),rewrite(14874(14))]. given #2438 (F,wt=21): 42167 f(f(c_0,f(x,y)),f(y,f(z,f(y,f(f(x,x),f(u,v)))))) = c_0. [para(32372(a,1),30121(a,1,1)),rewrite(14874(14))]. given #2439 (T,wt=21): 42178 f(f(x,y),f(c_0,f(x,f(f(y,z),f(u,f(c_0,f(v,y))))))) = c_0. [para(29528(a,1),30121(a,1,2,2,2,2,2)),rewrite(29528(10),28082(7),28082(8))]. given #2440 (T,wt=21): 42610 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,f(c_0,f(y,v))))) = c_0. [para(42565(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(11),14553(11),28082(9),14500(9),28082(11))]. given #2441 (A,wt=47): 29521 f(f(x,f(y,y)),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(w,f(y,y)))))))) = f(y,y). [back_rewrite(28414),rewrite(29507(21))]. given #2442 (F,wt=21): 42920 f(f(x,f(x,f(y,z))),f(x,f(y,f(f(z,u),f(z,v))))) = x. [para(29375(a,1),30209(a,1,2,2,2,2)),rewrite(28082(9))]. given #2443 (F,wt=21): 42923 f(f(x,f(x,f(y,z))),f(x,f(y,f(f(u,z),f(z,v))))) = x. [para(29935(a,1),30209(a,1,2,2,2,2)),rewrite(28082(9))]. given #2444 (T,wt=21): 42953 f(f(x,y),f(x,f(x,f(f(y,z),f(u,f(c_0,f(v,y))))))) = x. [para(29528(a,1),30209(a,1,2,2,2,2,2)),rewrite(29528(10),28082(6),28082(7))]. given #2445 (T,wt=21): 43238 f(f(x,f(y,f(c_0,f(z,x)))),f(c_0,f(f(z,x),f(x,u)))) = x. [para(19297(a,2),30224(a,1,1)),rewrite(14500(9,R),28082(9),29343(12),28082(11))]. given #2446 (A,wt=25): 29530 f(f(x,f(y,f(x,z))),f(u,f(c_0,f(x,z)))) = f(c_0,f(x,f(y,f(x,z)))). [para(28084(a,1),29506(a,1,2,2,2)),rewrite(28082(2),28082(7),14500(11,R),28082(7),14874(7),28082(5),28082(10))]. given #2447 (F,wt=21): 43664 f(f(x,y),f(x,f(x,f(c_0,f(z,f(f(u,y),f(y,v))))))) = x. [para(30289(a,1),27606(a,1,2,2)),rewrite(28082(10))]. given #2448 (F,wt=21): 43668 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(f(u,x),f(x,v))))))) = c_0. [para(30289(a,1),28146(a,1,2,2,2,2)),rewrite(28082(8),28082(11),36952(11))]. given #2449 (T,wt=21): 43701 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(f(u,y),f(y,v))))))) = c_0. [para(30289(a,1),32117(a,1,2,2)),rewrite(28082(11))]. given #2450 (T,wt=21): 43715 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(f(u,y),f(y,v))))))) = c_0. [para(30289(a,1),35151(a,1,2,2,2,2)),rewrite(28082(9))]. given #2451 (A,wt=23): 29535 f(f(x,f(y,y)),f(c_0,f(z,f(c_0,f(y,u))))) = f(z,f(c_0,f(y,u))). [para(29367(a,1),29506(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(8),14500(8),28082(9))]. given #2452 (F,wt=21): 43991 f(f(x,y),f(x,f(z,f(f(x,y),f(u,f(x,f(x,y))))))) = x. [para(12782(a,1),30330(a,1,1))]. given #2453 (F,wt=21): 44000 f(f(x,y),f(y,f(z,f(f(x,y),f(u,f(y,f(x,y))))))) = y. [para(29297(a,1),30330(a,1,1))]. given #2454 (T,wt=21): 44373 f(x,f(c_0,f(f(x,f(x,y)),f(f(x,y),f(z,u))))) = f(x,y). [para(8394(a,1),30579(a,1,1)),rewrite(8394(5),28082(3))]. given #2455 (T,wt=21): 44390 f(x,f(c_0,f(f(x,f(y,x)),f(f(y,x),f(z,u))))) = f(y,x). [para(29720(a,1),30579(a,1,2,2,1)),rewrite(28082(2),28082(4),17394(4),28082(3))]. given #2456 (A,wt=23): 29536 f(f(x,f(y,y)),f(c_0,f(z,f(c_0,f(u,y))))) = f(z,f(c_0,f(u,y))). [para(29506(a,1),29506(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(8),14500(8),28082(9))]. given #2457 (F,wt=21): 44526 f(f(x,f(y,f(z,u))),f(c_0,f(y,f(z,z)))) = f(y,f(z,z)). [para(30615(a,1),29406(a,1,1,2))]. given #2458 (F,wt=21): 44582 f(f(x,f(y,f(x,z))),f(c_0,f(x,f(f(z,u),f(z,v))))) = c_0. [para(29375(a,1),30764(a,1,1,2,2,2))]. given #2459 (T,wt=21): 44964 f(f(x,x),f(f(y,f(c_0,f(z,x))),f(u,f(c_0,f(z,x))))) = c_0. [para(29528(a,1),30910(a,1,2,2)),rewrite(28082(8),28082(11),14500(11),28082(11))]. given #2460 (T,wt=21): 45119 f(f(x,y),f(x,f(z,f(c_0,f(x,f(f(y,u),f(y,v))))))) = x. [para(29806(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),29806(17))]. given #2461 (A,wt=37): 29540 f(x,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,x),f(u,f(u,f(v,f(x,x)))))))) = f(x,x). [back_rewrite(28569),rewrite(29525(17))]. given #2462 (F,wt=21): 45122 f(f(x,y),f(y,f(z,f(c_0,f(y,f(f(x,u),f(x,v))))))) = y. [para(30245(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),30245(17))]. given #2463 (F,wt=21): 45126 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(f(x,y),f(u,v)))))) = x. [para(31701(a,1),30992(a,1,2,1)),rewrite(14500(9,R),28082(7),31701(17))]. given #2464 (T,wt=21): 45131 f(f(x,y),f(x,f(z,f(c_0,f(f(x,f(x,y)),f(u,v)))))) = x. [para(32337(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),32337(17))]. given #2465 (T,wt=21): 45132 f(f(x,y),f(y,f(z,f(c_0,f(f(y,f(x,y)),f(u,v)))))) = y. [para(32343(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),32343(17))]. given #2466 (A,wt=41): 29541 f(f(x,f(y,y)),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(f(y,y),f(u,f(u,f(v,f(y,y)))))))) = f(y,y). [back_rewrite(28567),rewrite(29525(19))]. given #2467 (F,wt=21): 45142 f(f(x,y),f(x,f(z,f(c_0,f(y,f(f(x,u),f(x,v))))))) = x. [para(33318(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),33318(17))]. given #2468 (F,wt=21): 45143 f(f(x,y),f(y,f(z,f(c_0,f(x,f(f(y,u),f(y,v))))))) = y. [para(33393(a,1),30992(a,1,2,1)),rewrite(14500(10,R),28082(7),33393(17))]. given #2469 (T,wt=21): 45145 f(f(x,f(y,f(z,u))),f(c_0,f(y,f(u,u)))) = f(y,f(u,u)). [para(30992(a,1),29406(a,1,1,2))]. given #2470 (T,wt=21): 45279 f(f(x,y),f(y,f(x,f(c_0,f(z,f(f(y,u),f(y,v))))))) = y. [para(29375(a,1),31011(a,1,1,2)),rewrite(29375(7),14500(10,R),28082(7),29375(16))]. given #2471 (A,wt=27): 29545 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(c_0,f(x,y))))) = f(u,f(c_0,f(x,y))). [para(15611(a,1),28216(a,1,2,2,2)),rewrite(28082(7),28082(10),28082(15))]. given #2472 (F,wt=21): 45795 f(f(f(x,y),f(y,z)),f(f(x,y),f(x,f(u,v)))) = f(x,y). [para(29200(a,1),31180(a,1,1,2)),rewrite(28082(8))]. given #2473 (F,wt=21): 46029 f(f(x,y),f(x,f(z,f(x,f(x,f(f(u,y),f(y,v))))))) = x. [para(29935(a,1),31182(a,1,2,2)),rewrite(28082(9))]. given #2474 (T,wt=21): 46078 f(f(x,y),f(x,f(z,f(z,f(x,f(f(y,u),f(y,v))))))) = x. [para(29375(a,1),31184(a,1,2,2)),rewrite(28082(9))]. given #2475 (T,wt=21): 46084 f(f(x,y),f(x,f(z,f(z,f(x,f(f(u,y),f(y,v))))))) = x. [para(29935(a,1),31184(a,1,2,2)),rewrite(28082(9))]. given #2476 (A,wt=23): 29551 f(f(x,f(y,f(f(x,z),f(x,u)))),f(c_0,f(f(x,z),f(x,u)))) = x. [para(19034(a,1),28216(a,1,2,1)),rewrite(14500(16,R),28082(12),14874(12),28082(11),19034(23))]. given #2477 (F,wt=21): 47036 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(f(u,z),f(z,v))))) = c_0. [para(29935(a,1),31270(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(10))]. given #2478 (F,wt=21): 47051 f(f(x,x),f(f(y,f(c_0,f(z,x))),f(u,f(c_0,f(x,v))))) = c_0. [para(29528(a,1),31270(a,1,2,2,2,2,2)),rewrite(29528(11),28082(2),14500(2),28082(7))]. given #2479 (T,wt=21): 47370 f(f(x,x),f(f(x,y),f(f(y,y),f(f(x,x),f(y,y))))) = c_0. [para(22(a,1),32022(a,1,2,1,2)),rewrite(28082(6))]. given #2480 (T,wt=21): 47460 f(f(x,f(y,f(z,x))),f(c_0,f(z,f(f(x,u),f(x,v))))) = c_0. [back_rewrite(35574),rewrite(47426(10))]. given #2481 (A,wt=23): 29561 f(f(x,f(y,y)),f(f(y,z),f(u,f(c_0,f(x,f(y,y)))))) = f(y,z). [para(28173(a,1),28216(a,1,2,1)),rewrite(28082(3),14500(8,R),28082(7),28082(14),28174(16))]. given #2482 (F,wt=21): 47463 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(f(x,u),f(x,v))))) = c_0. [back_rewrite(35360),rewrite(47426(10))]. given #2483 (F,wt=21): 47471 f(f(c_0,f(x,y)),f(f(x,z),f(u,z))) = f(y,f(c_0,f(x,z))). [back_rewrite(37889),rewrite(28082(5),28082(6),28082(9))]. given #2484 (T,wt=21): 47472 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(f(y,x),f(u,v)))))) = c_0. [back_rewrite(30824),rewrite(47427(10))]. given #2485 (T,wt=21): 47511 f(x,f(f(x,f(x,y)),f(c_0,f(f(y,y),f(z,u))))) = f(x,x). [para(29957(a,1),32212(a,1,1)),rewrite(14500(9,R),28082(7),29957(17),28082(11),14500(11))]. given #2486 (A,wt=23): 29567 f(f(x,y),f(f(z,f(x,y)),f(u,f(u,f(x,y))))) = f(z,f(x,y)). [para(15611(a,1),28424(a,1,1)),rewrite(15611(9))]. given #2487 (F,wt=21): 47516 f(x,f(f(y,x),f(c_0,f(f(x,f(y,x)),f(z,u))))) = f(x,x). [para(32343(a,1),32212(a,2,2)),rewrite(32343(7),14500(10,R),28082(7),28082(11),14500(11))]. given #2488 (F,wt=21): 47603 f(f(x,y),f(x,f(c_0,f(z,f(c_0,f(u,y)))))) = f(c_0,f(x,y)). [para(29528(a,1),32215(a,1,2,2)),rewrite(14500(9,R),28082(6),28082(9),29528(20))]. given #2489 (T,wt=21): 47809 f(x,f(c_0,f(f(y,z),f(x,f(y,f(f(z,u),f(z,v))))))) = c_0. [para(32225(a,1),35262(a,1,2,2,2,2)),rewrite(14874(11),28082(8))]. given #2490 (T,wt=21): 48081 f(f(c_0,c_0),f(x,f(y,f(z,f(u,f(v,f(c_0,f(w,v6)))))))) = c_0. [para(32392(a,1),31782(a,1,2,2,2,2)),rewrite(14873(13),28082(12))]. given #2491 (A,wt=23): 29569 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(x,f(u,f(u,f(x,y))))))))) = c_0. [para(28424(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(8))]. given #2492 (F,wt=21): 48119 f(f(c_0,c_0),f(x,f(y,f(z,f(u,f(f(v,w),f(v6,v7))))))) = c_0. [para(32394(a,1),31782(a,1,2,2,2,2)),rewrite(14873(12),28082(11))]. given #2493 (F,wt=21): 48185 f(f(x,y),f(c_0,f(z,f(z,f(y,f(f(x,u),f(x,v))))))) = c_0. [para(19010(a,2),32669(a,1,2,2,2,2,2,2)),rewrite(14874(9))]. given #2494 (T,wt=21): 48764 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(f(x,x),f(u,v)))) = c_0. [para(38026(a,1),33230(a,1,2,2)),rewrite(28082(6),28082(10))]. given #2495 (T,wt=21): 49162 f(f(x,y),f(y,f(y,f(c_0,f(z,f(f(x,u),f(x,v))))))) = y. [para(19010(a,2),33277(a,1,2,2,2,2,2,2)),rewrite(14874(9))]. given #2496 (A,wt=23): 29582 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(u,f(c_0,f(x,f(x,z)))))) = c_0. [para(28424(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(8))]. given #2497 (F,wt=21): 49525 f(f(x,y),f(x,f(y,f(c_0,f(z,f(f(x,u),f(x,v))))))) = x. [para(19010(a,2),33389(a,1,2,2,2,2,2,2)),rewrite(14874(9))]. given #2498 (F,wt=21): 50024 f(f(x,x),f(c_0,f(f(c_0,f(x,y)),f(z,f(c_0,f(u,v)))))) = c_0. [para(19141(a,1),34955(a,1,1,2)),rewrite(14500(2),28082(10))]. given #2499 (T,wt=21): 50028 f(f(x,x),f(c_0,f(f(c_0,f(x,y)),f(f(z,u),f(v,w))))) = c_0. [para(29845(a,1),34955(a,1,1,2)),rewrite(14500(2),28082(9))]. given #2500 (T,wt=21): 50138 f(f(c_0,f(f(x,x),f(y,y))),f(f(y,z),f(x,f(u,v)))) = c_0. [para(29200(a,1),34975(a,1,2,1)),rewrite(28082(9))]. given #2501 (A,wt=23): 29583 f(f(x,y),f(f(z,f(y,y)),f(u,f(u,f(x,y))))) = f(z,f(y,y)). [para(28173(a,1),28424(a,1,1)),rewrite(28173(9))]. given #2502 (F,wt=21): 50724 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(f(u,z),f(z,v))))))) = c_0. [para(29935(a,1),35260(a,1,2,2,2,2,2,2)),rewrite(28082(7))]. given #2503 (F,wt=21): 50756 f(x,f(f(x,y),f(f(x,z),f(f(u,z),f(z,v))))) = f(x,y). [para(29935(a,1),35264(a,1,2,2,2,2)),rewrite(28082(6))]. given #2504 (T,wt=21): 51061 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(f(z,z),f(u,v)))))) = c_0. [para(38026(a,1),35271(a,1,2,2,2,2)),rewrite(28082(6),28082(8))]. given #2505 (T,wt=21): 51176 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(f(z,u),f(z,v))))) = c_0. [para(19010(a,2),35289(a,1,2,2,2,2)),rewrite(14874(11))]. given #2506 (A,wt=23): 29584 f(f(x,y),f(f(z,f(x,x)),f(u,f(u,f(x,y))))) = f(z,f(x,x)). [para(28173(a,1),28424(a,1,2,2,2,2)),rewrite(28082(4),28174(6),28082(4))]. given #2507 (F,wt=21): 51699 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(f(u,z),f(z,v))))) = c_0. [para(29683(a,1),35375(a,1,2,2,2,2,2,2)),rewrite(14500(12,R),28082(8),14874(8),28082(6),14500(6),28082(8))]. given #2508 (F,wt=21): 51900 f(x,f(c_0,f(f(y,z),f(x,f(y,f(f(u,z),f(z,v))))))) = c_0. [para(29935(a,1),35400(a,1,2,2,2,2)),rewrite(28082(8))]. given #2509 (T,wt=21): 51916 f(x,f(c_0,f(f(x,y),f(f(y,z),f(u,f(c_0,f(v,y))))))) = c_0. [para(29528(a,1),35400(a,1,2,2,2,2,2)),rewrite(29528(11),28082(7),28082(8))]. given #2510 (T,wt=21): 52268 f(f(x,y),f(y,f(z,f(f(x,y),f(u,f(z,f(x,y))))))) = y. [para(22(a,1),35555(a,1,2,1)),rewrite(28082(4),22(12))]. given #2511 (A,wt=35): 29591 f(f(f(x,y),f(z,f(x,y))),f(c_0,f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y))))))) = f(x,y). [para(19213(a,1),15879(a,1,2,2,2)),rewrite(28082(3),28082(7))]. given #2512 (F,wt=21): 52269 f(f(x,y),f(x,f(z,f(f(x,y),f(u,f(z,f(x,y))))))) = x. [para(16188(a,1),35555(a,1,2,1)),rewrite(28082(4),16188(13))]. given #2513 (F,wt=19): 66819 f(x,f(f(y,x),f(z,f(x,f(u,f(x,z)))))) = f(y,x). [para(22(a,1),52269(a,1,2,2,2,1)),rewrite(22(3),22(4),28082(2))]. given #2514 (T,wt=21): 52553 f(f(x,x),f(c_0,f(y,f(f(x,z),f(u,f(y,f(x,z))))))) = c_0. [para(35500(a,1),35992(a,1,2,2,2)),rewrite(28082(6),28082(12),14874(12))]. given #2515 (T,wt=21): 52554 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(f(y,u),f(y,v))))) = c_0. [para(35263(a,1),35992(a,1,2,2,2)),rewrite(28082(5),28082(12),14874(12))]. given #2516 (A,wt=31): 29593 f(f(c_0,f(x,f(c_0,f(y,z)))),f(f(u,f(y,z)),f(c_0,f(f(z,f(y,z)),f(v,f(y,z)))))) = c_0. [para(19213(a,1),20544(a,1,2,1)),rewrite(14500(4,R),28082(4),28082(15),28082(16))]. given #2517 (F,wt=21): 52555 f(f(x,x),f(c_0,f(y,f(f(x,z),f(f(y,y),f(u,v)))))) = c_0. [para(35373(a,1),35992(a,1,2,2,2)),rewrite(28082(12),14874(12))]. given #2518 (F,wt=21): 53198 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(y,x),f(u,v)))) = c_0. [back_rewrite(35248),rewrite(52692(11),28082(11))]. given #2519 (T,wt=21): 53199 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(x,x),f(u,v)))) = c_0. [back_rewrite(35243),rewrite(52692(7))]. given #2520 (T,wt=21): 53201 f(x,f(c_0,f(y,f(y,f(z,f(y,f(f(y,x),f(u,v)))))))) = c_0. [back_rewrite(32356),rewrite(52692(12))]. given #2521 (A,wt=45): 29594 f(f(x,y),f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))) = f(c_0,f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))). [para(19213(a,1),19010(a,1,2,2)),rewrite(28082(3),28082(15),19213(22)),flip(a)]. given #2522 (F,wt=21): 53202 f(x,f(c_0,f(y,f(y,f(z,f(y,f(f(x,x),f(u,v)))))))) = c_0. [back_rewrite(31742),rewrite(52692(12))]. given #2523 (F,wt=21): 53271 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(f(z,x),f(u,v)))))))) = c_0. [back_rewrite(32340),rewrite(52835(13))]. given #2524 (T,wt=21): 53279 f(f(x,y),f(z,f(y,f(c_0,f(x,z))))) = f(f(x,y),f(z,z)). [back_rewrite(52806),rewrite(28082(5),52692(7),28082(10))]. given #2525 (T,wt=19): 66910 f(x,f(y,f(f(x,x),f(c_0,f(z,y))))) = f(x,f(y,y)). [para(53279(a,1),61828(a,1,2,2)),rewrite(61828(7)),flip(a)]. given #2526 (A,wt=23): 29597 f(x,f(c_0,f(f(y,z),f(y,u)))) = f(x,f(y,f(f(y,z),f(y,u)))). [para(19010(a,2),19213(a,1,2,2,2)),rewrite(19380(12),29373(13),19380(15),14874(15))]. given #2527 (F,wt=21): 53280 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(z,y),f(u,v)))) = x. [back_rewrite(52798),rewrite(52911(10),28082(10))]. given #2528 (F,wt=21): 53308 f(f(c_0,f(x,f(x,f(y,z)))),f(y,f(f(y,z),f(u,v)))) = c_0. [para(53165(a,1),28142(a,1,2,2,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(10))]. given #2529 (T,wt=21): 53309 f(f(c_0,f(x,y)),f(z,f(x,f(f(x,y),f(u,v))))) = f(x,y). [para(53165(a,1),28173(a,1,2,2)),rewrite(14500(13,R),28082(8),14874(8),28082(9),53165(16))]. given #2530 (T,wt=21): 53322 f(f(x,f(y,z)),f(c_0,f(x,f(y,f(f(y,z),f(u,v)))))) = c_0. [para(53165(a,1),29846(a,1,1,2)),rewrite(14500(16,R),28082(11),14874(11))]. given #2531 (A,wt=35): 29599 f(f(f(x,y),f(z,f(x,y))),f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))) = f(z,f(x,y)). [para(19213(a,1),26932(a,1,2,2)),rewrite(28082(3),28082(6),28082(17))]. given #2532 (F,wt=21): 53324 f(f(x,f(y,z)),f(x,f(x,f(y,f(f(y,z),f(u,v)))))) = x. [para(53165(a,1),29877(a,1,1,2)),rewrite(14500(15,R),28082(10),14874(10))]. given #2533 (F,wt=21): 53327 f(f(x,f(x,y)),f(x,f(z,f(y,f(f(x,y),f(u,v)))))) = x. [para(53165(a,1),29950(a,1,1,2)),rewrite(28082(1),28082(4),28082(10),14500(15,R),28082(10),14874(10))]. given #2534 (T,wt=21): 53329 f(f(c_0,f(x,y)),f(x,f(z,f(y,f(f(x,y),f(u,v)))))) = c_0. [para(53165(a,1),30108(a,1,2,2)),rewrite(28082(2),28082(8),14500(13,R),28082(8),14874(8),28082(8),28082(10))]. given #2535 (T,wt=21): 53370 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(f(y,z),f(u,v)))))) = c_0. [para(53165(a,1),35277(a,1,2,2,1,2)),rewrite(14500(16,R),28082(11),14874(11))]. given #2536 (A,wt=51): 29603 f(f(x,y),f(f(x,y),f(c_0,f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))))) = f(c_0,f(f(z,f(x,y)),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))). [para(19213(a,1),19029(a,1,2,2,2,1)),rewrite(28082(12),28082(13),19213(24),28082(26),28082(27))]. given #2537 (F,wt=21): 53396 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(f(x,y),f(u,v)))))) = c_0. [para(53165(a,1),30183(a,1,2,2)),rewrite(14500(7,R),28082(5),28082(11))]. given #2538 (F,wt=21): 53448 f(f(c_0,f(x,y)),f(y,f(z,f(x,f(f(x,y),f(u,v)))))) = c_0. [para(53165(a,1),32320(a,1,1,2)),rewrite(28082(10),14874(12))]. given #2539 (T,wt=21): 53498 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(f(x,z),f(u,v)))))))) = c_0. [para(53229(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(4),28082(11),14874(11))]. given #2540 (T,wt=21): 53505 f(x,f(f(x,y),f(z,f(z,f(f(x,z),f(u,v)))))) = f(x,y). [para(53229(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(10),14874(10))]. given #2541 (A,wt=49): 29617 f(f(f(x,f(y,z)),f(c_0,f(f(z,f(y,z)),f(u,f(y,z))))),f(f(y,z),f(v,f(c_0,f(f(x,f(y,z)),f(c_0,f(f(z,f(y,z)),f(u,f(y,z))))))))) = c_0. [para(19213(a,1),19142(a,1,1,2)),rewrite(28082(2),28082(14),19213(21))]. given #2542 (F,wt=21): 53561 f(f(x,x),f(c_0,f(y,f(y,f(f(y,f(x,z)),f(u,v)))))) = c_0. [para(53229(a,1),35992(a,1,2,2,2)),rewrite(28082(12),14874(12))]. given #2543 (F,wt=21): 53573 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(f(y,z),f(u,v)))))) = c_0. [para(53302(a,1),29846(a,1,1,2)),rewrite(14500(16,R),28082(11),14874(11))]. given #2544 (T,wt=21): 53574 f(f(x,f(y,z)),f(x,f(x,f(z,f(f(y,z),f(u,v)))))) = x. [para(53302(a,1),29877(a,1,1,2)),rewrite(14500(15,R),28082(10),14874(10))]. given #2545 (T,wt=21): 53592 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(f(y,z),f(u,v)))))) = c_0. [para(53302(a,1),35277(a,1,2,2,1,2)),rewrite(14500(16,R),28082(11),14874(11))]. given #2546 (A,wt=33): 29618 f(f(x,f(c_0,f(y,z))),f(f(z,f(y,z)),f(u,f(y,z)))) = f(c_0,f(f(z,f(y,z)),f(u,f(y,z)))). [para(19213(a,1),28174(a,1,2,2)),rewrite(14500(3,R),28082(3),14874(13),19213(17))]. given #2547 (F,wt=21): 53661 f(x,f(c_0,f(f(c_0,f(y,f(x,y))),f(x,f(c_0,f(z,u)))))) = c_0. [para(17567(a,1),53531(a,1,2,2,2,2,1))]. given #2548 (F,wt=21): 53662 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(x,z),f(u,v)))))))) = c_0. [para(53531(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11))]. given #2549 (T,wt=21): 53673 f(x,f(f(x,y),f(z,f(x,f(f(x,z),f(u,v)))))) = f(x,y). [para(53531(a,1),29564(a,1,2,2,2)),rewrite(28082(10),14874(10))]. given #2550 (T,wt=21): 53688 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(z,x),f(u,v)))))))) = c_0. [para(53531(a,1),28138(a,1,2,2,2)),rewrite(28082(3),14500(13),14553(13),28082(11))]. given #2551 (A,wt=39): 29620 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))))) = f(c_0,f(f(y,f(x,y)),f(u,f(x,y)))). [para(19213(a,1),28216(a,1,2,1)),rewrite(14500(11,R),28082(11),28082(13),19213(21))]. given #2552 (F,wt=21): 54013 f(f(c_0,f(x,f(y,z))),f(x,f(z,f(f(y,u),f(y,v))))) = c_0. [para(19010(a,2),36678(a,1,2,2,2,2)),rewrite(14874(11))]. given #2553 (F,wt=21): 54074 f(f(x,f(x,f(y,z))),f(x,f(z,f(f(y,u),f(y,v))))) = x. [para(19010(a,2),36686(a,1,2,2,2,2)),rewrite(14874(10))]. given #2554 (T,wt=21): 54256 f(f(x,x),f(y,f(y,f(c_0,f(x,z))))) = f(f(x,x),f(y,y)). [para(36687(a,1),36546(a,1,2,2)),rewrite(28082(3),14500(3),28082(5),28082(10)),flip(a)]. given #2555 (T,wt=21): 54292 f(f(x,f(y,f(x,z))),f(c_0,f(z,f(f(x,u),f(x,v))))) = c_0. [para(19010(a,2),36740(a,1,2,2,2,2)),rewrite(14874(11))]. given #2556 (A,wt=29): 29621 f(f(x,y),f(f(z,f(x,x)),f(u,f(x,y)))) = f(c_0,f(f(z,f(x,x)),f(u,f(x,y)))). [para(28216(a,1),19213(a,1,1)),rewrite(28216(10),28082(7),29507(7),28216(8),28216(17),28082(14),29507(14),28216(15))]. given #2557 (F,wt=21): 54334 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(f(y,u),f(y,v))))) = c_0. [para(19010(a,2),36851(a,1,2,2,2,2)),rewrite(14874(11))]. given #2558 (F,wt=21): 54337 f(f(f(x,y),f(x,z)),f(c_0,f(f(x,u),f(c_0,f(u,v))))) = c_0. [para(29375(a,1),36851(a,1,2,2,1,2)),rewrite(28082(5))]. given #2559 (T,wt=21): 54339 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,u),f(c_0,f(u,v))))) = c_0. [para(29935(a,1),36851(a,1,2,2,1,2)),rewrite(28082(5))]. given #2560 (T,wt=21): 54449 f(x,f(y,f(f(y,z),f(u,f(x,f(y,z)))))) = f(x,f(y,z)). [para(19010(a,1),36906(a,1,2)),rewrite(28082(4),47856(8),14530(9),28082(9))]. given #2561 (A,wt=39): 29622 f(f(c_0,f(f(x,f(y,x)),f(z,f(y,x)))),f(f(y,x),f(u,f(u,f(c_0,f(f(x,f(y,x)),f(z,f(y,x)))))))) = f(y,x). [para(19213(a,1),28424(a,1,2,2,2,2)),rewrite(19213(7))]. given #2562 (F,wt=21): 54539 f(f(x,x),f(c_0,f(y,f(z,f(y,f(x,u)))))) = f(y,f(x,x)). [para(30615(a,1),36906(a,1,2,2,2,2))]. given #2563 (F,wt=21): 54624 f(f(x,x),f(y,f(z,f(y,f(x,y))))) = f(f(x,x),f(y,y)). [para(29957(a,1),54451(a,1,2,2)),rewrite(28082(2),28082(4),28082(5),28082(8),30332(10))]. given #2564 (T,wt=21): 54633 f(x,f(f(y,f(z,f(x,y))),f(u,f(c_0,f(y,v))))) = f(x,y). [para(28180(a,1),54451(a,1,2,1)),rewrite(28082(8))]. given #2565 (T,wt=19): 67173 f(x,f(f(y,f(z,f(x,y))),f(y,f(u,v)))) = f(x,y). [para(29419(a,1),54633(a,1,2,2))]. given #2566 (A,wt=23): 29633 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(y,f(u,f(u,f(x,y))))))))) = c_0. [para(28425(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(8))]. given #2567 (F,wt=19): 67176 f(x,f(f(y,f(z,f(y,x))),f(y,f(u,v)))) = f(y,x). [para(67173(a,1),28082(a,2)),rewrite(28082(1),28082(7),28082(8))]. given #2568 (F,wt=19): 67186 f(x,f(f(y,f(z,f(x,x))),f(y,f(u,v)))) = f(x,y). [para(29394(a,1),67173(a,1,2,1))]. given #2569 (T,wt=21): 54641 f(x,f(f(y,f(z,f(x,y))),f(u,f(c_0,f(v,y))))) = f(x,y). [para(29343(a,1),54451(a,1,2,1)),rewrite(28082(8))]. given #2570 (T,wt=21): 54770 f(f(x,f(x,y)),f(f(z,f(x,y)),f(f(x,y),f(x,u)))) = x. [para(16188(a,1),54596(a,1,2,2,2,2)),rewrite(28082(4),28082(6),16188(13))]. given #2571 (A,wt=31): 29646 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(y,f(u,f(x,y)))))) = f(c_0,f(y,f(u,f(x,y)))). [para(28084(a,1),28425(a,1,1)),rewrite(28084(12),28082(10))]. given #2572 (F,wt=21): 54908 f(f(c_0,f(x,y)),f(f(y,z),f(u,z))) = f(z,f(c_0,f(x,y))). [para(29506(a,1),54707(a,1,2,2,2)),rewrite(28082(5),28082(6))]. given #2573 (F,wt=21): 54920 f(x,f(c_0,f(f(y,z),f(x,f(z,f(f(y,u),f(y,v))))))) = c_0. [para(19010(a,2),36915(a,1,2,2,2,2,2,2)),rewrite(14874(9))]. given #2574 (T,wt=21): 54961 f(f(x,x),f(y,f(z,f(c_0,f(x,y))))) = f(f(x,x),f(y,y)). [para(36948(a,1),36546(a,1,2,2)),rewrite(28082(3),14500(3),28082(5),28082(10)),flip(a)]. given #2575 (T,wt=21): 55039 f(x,f(c_0,f(f(c_0,f(y,f(x,x))),f(f(z,u),f(v,w))))) = c_0. [para(29845(a,1),37436(a,1,2,2,2,2,2,2)),rewrite(14500(7),28082(9))]. given #2576 (A,wt=31): 29647 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(x,f(u,f(x,y)))))) = f(c_0,f(x,f(u,f(x,y)))). [para(28086(a,1),28425(a,1,1)),rewrite(28086(12),28082(10))]. given #2577 (F,wt=21): 55060 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(f(u,x),f(x,v))))))) = c_0. [para(29935(a,1),37438(a,1,2,2,2,2,2,2)),rewrite(28082(6),28082(11),47427(11),36952(11))]. given #2578 (F,wt=21): 55381 f(x,f(c_0,f(f(c_0,f(y,f(x,x))),f(z,f(c_0,f(u,v)))))) = c_0. [para(37779(a,1),36851(a,1,2,2,2,2)),rewrite(14874(13))]. given #2579 (T,wt=21): 55432 f(f(x,y),f(z,f(y,f(c_0,f(z,x))))) = f(f(z,z),f(x,y)). [para(37805(a,2),30511(a,1,1,2)),rewrite(28082(1),52911(6),28082(7),28082(10),14500(12,R),28082(10),14874(10),28082(7),28082(10),28082(13),14500(15,R),28082(13),14874(13))]. given #2580 (T,wt=21): 55451 f(f(x,x),f(c_0,f(y,f(f(z,x),f(u,f(c_0,f(x,v))))))) = c_0. [para(42565(a,1),37805(a,1,2,2)),rewrite(28082(18),32392(18)),flip(a)]. given #2581 (A,wt=23): 29651 f(x,f(f(y,f(x,y)),f(z,f(c_0,f(x,u))))) = f(z,f(c_0,f(x,u))). [para(29367(a,1),28425(a,1,1)),rewrite(29367(10),28082(5),28082(7))]. given #2582 (F,wt=21): 55698 f(f(x,y),f(c_0,f(f(c_0,f(x,y)),f(z,f(c_0,f(u,v)))))) = c_0. [para(29952(a,1),37857(a,1,1,2)),rewrite(28082(10))]. given #2583 (F,wt=21): 55920 f(x,f(c_0,f(f(x,f(x,f(y,y))),f(y,z)))) = f(x,f(y,y)). [para(38005(a,2),28123(a,1)),rewrite(28082(6))]. given #2584 (T,wt=21): 56081 f(f(x,y),f(z,f(x,f(c_0,f(y,z))))) = f(f(x,y),f(z,z)). [back_rewrite(55943),rewrite(56016(7),28082(3),28082(10))]. given #2585 (T,wt=21): 56107 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(x,z),f(u,v)))) = c_0. [back_rewrite(35453),rewrite(56016(7))]. given #2586 (A,wt=31): 29654 f(f(x,f(y,f(y,f(x,z)))),f(f(x,f(x,z)),f(y,f(y,f(x,z))))) = f(y,f(y,f(x,z))). [para(28424(a,1),28425(a,1,2,2,2)),rewrite(28082(9),28082(10))]. given #2587 (F,wt=21): 56108 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(z,z),f(u,v)))) = c_0. [back_rewrite(35449),rewrite(56016(7))]. given #2588 (F,wt=21): 56312 f(f(x,f(y,z)),f(c_0,f(x,f(y,f(f(z,z),f(u,v)))))) = c_0. [para(29203(a,1),38087(a,1,2,2,2,2)),rewrite(14553(10),28082(10))]. given #2589 (T,wt=21): 56479 f(x,f(c_0,f(f(y,y),f(z,f(x,f(y,u)))))) = f(x,f(y,y)). [para(30615(a,1),38228(a,1,2,2,2,2))]. given #2590 (T,wt=21): 56648 f(x,f(f(y,f(y,x)),f(z,f(c_0,f(f(y,y),f(x,x)))))) = c_0. [para(32062(a,1),38293(a,1,2,2,2)),rewrite(28082(1),28082(5),28082(8),14500(9,R),28082(7),14500(12),14553(12),28082(10))]. given #2591 (A,wt=23): 29660 f(f(x,y),f(f(z,f(x,y)),f(u,f(c_0,f(x,y))))) = f(z,f(x,y)). [para(15611(a,1),28829(a,1,1)),rewrite(15611(10))]. given #2592 (F,wt=21): 56673 f(f(x,x),f(f(y,x),f(z,f(c_0,f(u,f(c_0,f(x,v))))))) = c_0. [para(42565(a,1),38293(a,1,2,2,2)),rewrite(14500(10,R),28082(7),28082(13),14553(13),28082(11),14500(11),28082(11))]. given #2593 (F,wt=21): 56730 f(f(x,x),f(y,f(f(z,x),f(u,f(c_0,f(x,f(z,x))))))) = x. [para(17394(a,1),38294(a,1,2,2)),rewrite(14500(6,R),28082(5),28082(10),14500(10),28082(10),17394(14))]. given #2594 (T,wt=21): 56794 f(f(c_0,f(x,f(y,y))),f(f(z,f(x,f(u,y))),f(y,v))) = c_0. [para(38294(a,1),30133(a,1,2,2)),rewrite(14500(3,R),28082(3),14553(3),28082(4),28082(10))]. given #2595 (T,wt=21): 56854 f(x,f(c_0,f(f(y,f(x,f(z,u))),f(u,u)))) = f(x,f(u,u)). [para(38294(a,1),37445(a,2)),rewrite(14500(4,R),28082(4),14553(4))]. given #2596 (A,wt=27): 29661 f(f(f(x,y),f(x,z)),f(f(x,y),f(u,f(x,f(f(x,y),f(x,z)))))) = f(x,y). [para(19010(a,1),28829(a,1,2,2,2))]. given #2597 (F,wt=21): 56927 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(f(x,y),f(u,v)))))) = c_0. [para(31263(a,1),38317(a,1,1)),rewrite(14500(12,R),28082(10),14874(15))]. given #2598 (F,wt=21): 56928 f(x,f(f(y,f(x,y)),f(z,f(c_0,f(f(x,x),f(y,y)))))) = c_0. [para(32062(a,1),38317(a,1,1)),rewrite(14500(11,R),28082(9),14874(14))]. given #2599 (T,wt=21): 57154 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(f(y,x),f(u,v)))))))) = c_0. [para(31701(a,1),38401(a,1,2,2,1)),rewrite(14500(10,R),28082(8),52692(13))]. given #2600 (T,wt=21): 57613 f(f(x,f(y,f(z,x))),f(c_0,f(f(x,u),f(x,f(z,x))))) = x. [para(30980(a,1),28368(a,1,2,2,2,2,2)),rewrite(14500(5,R),28082(5),14553(5),28082(3),29180(8),14500(7,R),28082(7),14553(7),28082(5),14500(8,R),28082(8),14553(8),28082(10),14874(10),14500(13,R),28082(13),14553(13))]. given #2601 (A,wt=23): 29662 f(f(x,f(f(x,y),f(x,z))),f(x,f(u,f(f(x,y),f(x,z))))) = x. [para(19010(a,2),28829(a,1,2,2,2,2)),rewrite(14874(11))]. given #2602 (F,wt=21): 57653 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(f(x,u),f(x,v))))) = c_0. [para(29877(a,1),38967(a,1,2,2,2,1,2)),rewrite(28082(7),29877(13),28082(8),52718(10))]. given #2603 (F,wt=21): 57758 f(x,f(c_0,f(f(y,y),f(f(y,z),f(u,f(x,f(y,y))))))) = c_0. [para(30615(a,1),38967(a,1,2,2,2)),rewrite(28082(7))]. given #2604 (T,wt=21): 57971 f(x,f(f(x,y),f(z,f(x,f(u,f(x,f(x,y))))))) = f(x,y). [para(16188(a,1),40126(a,1,1))]. given #2605 (T,wt=19): 67440 f(x,f(y,f(y,f(z,f(y,f(y,f(x,x))))))) = f(x,x). [para(57971(a,1),63259(a,1,2)),rewrite(8397(3)),flip(a)]. given #2606 (A,wt=23): 29671 f(f(x,y),f(f(z,f(y,y)),f(u,f(c_0,f(x,y))))) = f(z,f(y,y)). [para(28173(a,1),28829(a,1,1)),rewrite(28173(10))]. given #2607 (F,wt=17): 67443 f(f(x,x),f(y,f(y,f(z,f(y,f(x,y)))))) = x. [para(22(a,1),67440(a,1,2,2,2,2,2,2)),rewrite(28082(2),14500(10,R),28082(10),14553(10))]. given #2608 (F,wt=17): 67471 f(f(x,f(x,f(y,f(x,f(x,z))))),f(z,z)) = z. [para(67440(a,1),55432(a,2)),rewrite(14500(3,R),28082(3),14553(3),14500(8,R),28082(8),14553(8),28082(11),53279(15),14500(10,R),28082(10),14553(10))]. given #2609 (T,wt=17): 67538 f(f(x,x),f(y,f(y,f(z,f(y,f(y,x)))))) = x. [para(28082(a,1),67471(a,1,1,2,2)),rewrite(28082(3),28082(7))]. given #2610 (T,wt=19): 67535 f(f(x,x),f(y,f(y,f(f(y,f(x,y)),f(z,z))))) = x. [para(55432(a,2),67443(a,1,2,2,2)),rewrite(28082(6),53279(10))]. given #2611 (A,wt=23): 29672 f(f(x,y),f(f(z,f(x,x)),f(u,f(c_0,f(x,y))))) = f(z,f(x,x)). [para(28173(a,1),28829(a,1,2,2,2,2)),rewrite(28082(4),28174(6),28082(5))]. Low Water (displace): id=61065, wt=27 given #2612 (F,wt=19): 67561 f(f(x,x),f(y,f(y,f(f(y,f(y,x)),f(z,z))))) = x. [para(55432(a,2),67471(a,1,1,2,2)),rewrite(28082(5),53279(9),28082(8))]. given #2613 (F,wt=19): 67565 f(f(x,x),f(y,f(y,f(f(y,f(x,y)),f(z,u))))) = x. [para(15611(a,1),67535(a,1,2,2,2,2))]. given #2614 (T,wt=19): 67626 f(f(x,x),f(y,f(y,f(f(y,f(y,x)),f(z,u))))) = x. [para(67565(a,1),28082(a,2)),rewrite(28082(1),28082(8))]. given #2615 (T,wt=21): 57977 f(x,f(c_0,f(f(y,y),f(f(z,f(x,f(z,y))),f(y,y))))) = c_0. [para(40126(a,1),28139(a,1,2,2,2,2)),rewrite(14500(5,R),28082(4),28082(11),44004(11),28082(12),14500(12),28082(12),36952(14),33020(14))]. given #2616 (A,wt=27): 29673 f(c_0,f(f(x,y),f(z,f(c_0,f(x,u))))) = f(x,f(f(x,y),f(z,f(c_0,f(x,u))))). [para(28829(a,1),19213(a,1,1)),rewrite(28829(12),28082(6),29418(6),28829(11),28082(5),28082(6),28829(20),28082(14),29418(14),28829(19),28082(13),28082(14)),flip(a)]. given #2617 (F,wt=21): 58075 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(x,f(y,v))))) = c_0. [para(36546(a,1),40615(a,1,1,2)),rewrite(14500(7,R),28082(7),14553(7),28082(5),14500(14,R),28082(11),14874(11))]. given #2618 (F,wt=21): 58093 f(f(x,f(y,f(z,z))),f(c_0,f(f(x,u),f(x,f(z,x))))) = x. [para(40615(a,1),28368(a,1,2,2,2,2,2)),rewrite(14500(5,R),28082(5),14553(5),28082(3),29180(8),14500(7,R),28082(7),14553(7),28082(5),14500(8,R),28082(8),14553(8),28082(10),14874(10),14500(13,R),28082(13),14553(13))]. given #2619 (T,wt=21): 58099 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(f(u,x),f(x,v))))) = c_0. [para(29935(a,1),40620(a,1,2,2)),rewrite(28082(6),28082(9),28082(10))]. given #2620 (T,wt=21): 58157 f(f(x,x),f(c_0,f(y,f(f(z,x),f(u,f(y,f(z,x))))))) = c_0. [para(35532(a,1),40624(a,1,2)),rewrite(28082(5),28082(11),28082(14),14874(14))]. given #2621 (A,wt=35): 29674 f(f(c_0,f(f(x,f(y,x)),f(z,f(y,x)))),f(f(y,x),f(u,f(f(x,f(y,x)),f(z,f(y,x)))))) = f(y,x). [para(19213(a,1),28829(a,1,2,2,2,2)),rewrite(19213(7),14874(17))]. given #2622 (F,wt=19): 67738 f(f(x,y),f(c_0,f(f(z,z),f(f(u,z),f(x,y))))) = c_0. [para(44390(a,1),58157(a,1,2,2,2,2)),rewrite(14500(7,R),28082(5),28082(15),29735(16),36952(14),66732(12))]. given #2623 (F,wt=21): 58191 f(f(x,y),f(x,f(f(c_0,f(x,y)),f(z,f(c_0,f(u,v)))))) = x. [para(29952(a,1),40681(a,1,1,2)),rewrite(28082(9))]. given #2624 (T,wt=21): 58206 f(f(x,f(y,f(z,z))),f(x,f(z,f(f(x,u),f(x,v))))) = x. [para(19010(a,2),40847(a,1,2,2,2,2)),rewrite(14874(10))]. given #2625 (T,wt=21): 58376 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(z,z),f(u,v)))) = x. [para(38026(a,1),41005(a,1,2,2,2,2)),rewrite(28082(6),28082(10))]. given #2626 (A,wt=27): 29690 f(f(f(x,f(y,y)),f(y,z)),f(c_0,f(f(x,f(y,y)),f(u,f(y,z))))) = f(y,z). [para(28173(a,1),19216(a,1,1,2)),rewrite(28082(3),28082(11),28174(13),28082(16),28174(18))]. given #2627 (F,wt=19): 67869 f(x,f(x,f(f(y,y),f(f(z,f(x,x)),f(x,y))))) = c_0. [para(63342(a,1),29690(a,1,2,2)),rewrite(28082(8),28082(15),48119(15),28082(7)),flip(a)]. given #2628 (F,wt=21): 58382 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(x,z),f(u,v)))) = x. [para(53165(a,1),41005(a,1,2,2,2,2)),rewrite(28082(10))]. given #2629 (T,wt=21): 58409 f(x,f(f(y,y),f(x,f(x,f(f(z,y),f(y,u)))))) = f(x,x). [para(29935(a,1),41145(a,1,2,2,2)),rewrite(28082(7),14500(7),28082(7))]. given #2630 (T,wt=21): 58615 f(f(x,f(y,f(y,f(x,z)))),f(x,f(f(z,z),f(u,v)))) = x. [para(38026(a,1),41709(a,1,2,2,2,2)),rewrite(28082(5),28082(9))]. given #2631 (A,wt=25): 29710 f(x,f(c_0,f(f(y,f(x,f(y,z))),f(u,f(x,f(y,z)))))) = f(x,f(y,z)). [para(29200(a,1),28084(a,1,2,2,2,2)),rewrite(28082(2),28082(5),28082(11),29204(14))]. given #2632 (F,wt=21): 58621 f(f(x,f(y,f(y,f(x,z)))),f(x,f(f(x,z),f(u,v)))) = x. [para(53165(a,1),41709(a,1,2,2,2,2)),rewrite(28082(9))]. given #2633 (F,wt=21): 58701 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(f(y,y),f(u,v)))))) = c_0. [para(35373(a,1),42337(a,1,2)),rewrite(14500(16,R),28082(10),28082(14),14874(14))]. given #2634 (T,wt=21): 58719 f(x,f(c_0,f(y,f(y,f(f(y,f(z,f(x,x))),f(u,v)))))) = c_0. [para(53229(a,1),42337(a,1,2)),rewrite(14500(16,R),28082(10),28082(14),14874(14))]. given #2635 (T,wt=21): 58797 f(f(x,f(y,z)),f(x,f(f(y,y),f(f(x,u),f(x,v))))) = x. [para(19010(a,2),43279(a,1,2,2,2,2)),rewrite(14874(10))]. given #2636 (A,wt=37): 29724 f(x,f(f(y,z),f(x,f(c_0,f(f(z,f(y,z)),f(u,f(y,z))))))) = f(x,f(c_0,f(f(z,f(y,z)),f(u,f(y,z))))). [para(19213(a,1),29204(a,1,2,2,2)),rewrite(19213(18))]. given #2637 (F,wt=21): 58803 f(f(x,f(y,f(c_0,f(x,z)))),f(c_0,f(f(y,x),f(x,u)))) = x. [para(19297(a,2),43279(a,1,1)),rewrite(14500(8,R),28082(8),36952(12),28180(12),28082(11))]. given #2638 (F,wt=21): 58916 f(f(x,f(x,y)),f(c_0,f(f(y,y),f(f(x,z),f(y,y))))) = c_0. [para(29950(a,1),44199(a,1,2,2,2,2,2)),rewrite(28082(6),28082(7))]. given #2639 (T,wt=21): 58922 f(x,f(c_0,f(f(y,y),f(f(y,y),f(z,f(x,f(y,u))))))) = c_0. [para(30615(a,1),44199(a,1,2,2,2,2,2))]. given #2640 (T,wt=21): 58933 f(f(x,x),f(c_0,f(f(y,f(x,y)),f(f(x,x),f(y,z))))) = c_0. [para(29957(a,1),44202(a,1,2,2,2,2,2)),rewrite(28082(3),28082(6))]. given #2641 (A,wt=23): 29726 f(x,f(y,f(x,f(z,f(c_0,f(y,u)))))) = f(x,f(z,f(c_0,f(y,u)))). [para(29367(a,1),29720(a,1,2,2)),rewrite(28082(6))]. given #2642 (F,wt=19): 67973 f(x,f(c_0,f(f(y,f(y,f(x,x))),f(x,f(y,z))))) = c_0. [para(58933(a,1),61826(a,1,2,2,2)),rewrite(28082(2),14500(6,R),28082(6),14553(6),28082(8),14500(12,R),28082(12),14553(12),14500(13,R),28082(8),14500(11),14553(11),28082(9))]. given #2643 (F,wt=19): 67974 f(x,f(y,f(c_0,f(z,f(x,f(x,f(y,z))))))) = f(x,x). [para(38090(a,1),29726(a,1,2)),rewrite(28082(6)),flip(a)]. given #2644 (T,wt=19): 67997 f(x,f(y,f(c_0,f(z,f(x,f(x,f(z,y))))))) = f(x,x). [para(28082(a,1),67974(a,1,2)),rewrite(28082(2),28082(7))]. given #2645 (T,wt=21): 58953 f(f(x,f(y,z)),f(x,f(f(z,z),f(f(x,u),f(x,v))))) = x. [para(19010(a,2),44350(a,1,2,2,2,2)),rewrite(14874(10))]. given #2646 (A,wt=23): 29727 f(x,f(y,f(x,f(z,f(c_0,f(u,y)))))) = f(x,f(z,f(c_0,f(u,y)))). [para(29506(a,1),29720(a,1,2,2)),rewrite(28082(6))]. given #2647 (F,wt=21): 59038 f(x,f(c_0,f(f(x,f(y,f(x,z))),f(f(z,u),f(z,v))))) = c_0. [para(29375(a,1),44601(a,1,2,2,2,2,2,2)),rewrite(28082(8))]. given #2648 (F,wt=21): 59040 f(x,f(c_0,f(f(x,f(y,f(x,z))),f(f(u,z),f(z,v))))) = c_0. [para(29935(a,1),44601(a,1,2,2,2,2,2,2)),rewrite(28082(8))]. given #2649 (T,wt=21): 59063 f(f(x,f(y,f(z,x))),f(c_0,f(x,f(f(z,u),f(z,v))))) = c_0. [para(29375(a,1),44603(a,1,2,2,2,2,2,2)),rewrite(28082(5),28082(10),47426(10))]. given #2650 (T,wt=21): 59064 f(f(x,f(y,f(z,x))),f(c_0,f(x,f(f(u,z),f(z,v))))) = c_0. [para(29935(a,1),44603(a,1,2,2,2,2,2,2)),rewrite(28082(5),28082(10),47427(10))]. given #2651 (A,wt=23): 29730 f(f(f(x,y),f(y,z)),f(c_0,f(u,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(19297(a,1),14623(a,1,2,2,2)),rewrite(14874(7))]. given #2652 (F,wt=21): 59109 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(f(y,y),f(u,v)))) = c_0. [para(32883(a,1),44865(a,1,1,2)),rewrite(14500(13,R),28082(11),14874(11),28082(9))]. given #2653 (F,wt=21): 59649 f(f(x,f(y,f(x,f(x,z)))),f(z,z)) = f(f(x,x),f(z,z)). [para(46429(a,1),28191(a,1,2,2,2,2,2,2)),rewrite(28082(33),14500(33),28082(33),28082(35),38012(37),14500(25,R),28082(20),28082(21),36952(21),29525(19),57305(14),8394(8),28082(3),14500(3),28082(3)),flip(a)]. given #2654 (T,wt=21): 59670 f(f(c_0,f(f(x,x),f(y,z))),f(f(y,z),f(x,f(u,v)))) = c_0. [para(29200(a,1),46943(a,1,2,1)),rewrite(28082(9))]. given #2655 (T,wt=21): 59842 f(x,f(f(y,f(c_0,f(z,f(x,z)))),f(f(x,x),f(z,z)))) = c_0. [para(32062(a,1),47638(a,1,2,2,2)),rewrite(14500(8,R),28082(7),28082(9),14500(12),14553(12),28082(10))]. given #2656 (A,wt=27): 29731 f(f(x,f(f(y,z),f(z,u))),f(z,f(f(y,z),f(z,u)))) = f(f(y,z),f(z,u)). [para(19297(a,1),15611(a,1,2))]. given #2657 (F,wt=21): 59843 f(x,f(f(y,f(c_0,f(z,f(z,x)))),f(f(z,z),f(x,x)))) = c_0. [para(32156(a,1),47638(a,1,2,2,2)),rewrite(14500(8,R),28082(7),28082(9),14500(12),14553(12),28082(10))]. given #2658 (F,wt=21): 59931 f(f(x,f(x,f(y,z))),f(x,f(z,f(f(u,y),f(y,v))))) = x. [para(29935(a,1),47923(a,1,2,2,2,2)),rewrite(28082(4),28082(6),28082(9))]. given #2659 (T,wt=21): 60011 f(f(c_0,f(x,f(y,z))),f(x,f(z,f(f(u,y),f(y,v))))) = c_0. [para(29935(a,1),48026(a,1,2,2,2,2)),rewrite(28082(4),28082(7),28082(10))]. given #2660 (T,wt=21): 60026 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(f(y,y),f(u,v)))) = c_0. [para(31712(a,1),48026(a,1,1)),rewrite(28082(11),14874(14))]. given #2661 (A,wt=29): 29732 f(f(f(x,y),f(y,z)),f(u,f(y,f(f(x,y),f(y,z))))) = f(c_0,f(f(x,y),f(y,z))). [para(19297(a,1),14787(a,1,2,2,2,2)),rewrite(14874(9),14874(13))]. given #2662 (F,wt=21): 60146 f(f(x,x),f(c_0,f(y,f(f(x,x),f(z,f(y,f(x,u))))))) = c_0. [para(48054(a,1),37923(a,2)),rewrite(14500(6,R),28082(6),14553(6),28082(4),28082(8))]. given #2663 (F,wt=21): 60205 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(f(x,x),f(u,v)))) = c_0. [para(29203(a,1),50126(a,1,2,2,2,2)),rewrite(28082(5),14553(10),28082(8),28082(10))]. given #2664 (T,wt=21): 60280 f(f(x,f(y,f(x,z))),f(c_0,f(x,f(f(u,z),f(z,v))))) = c_0. [para(50181(a,1),31270(a,1,2,2,2,2)),rewrite(14874(11),28082(10))]. given #2665 (T,wt=21): 60398 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(y,y),f(u,v)))) = x. [para(29957(a,1),50439(a,1,2,2,2,2,2)),rewrite(28082(8),52692(10),28082(10))]. given #2666 (A,wt=25): 29734 f(f(x,f(f(y,x),f(x,z))),f(f(y,x),f(u,f(f(y,x),f(x,z))))) = c_0. [para(19297(a,1),19132(a,1,2)),rewrite(28082(11))]. given #2667 (F,wt=21): 60400 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(x,y),f(u,v)))) = x. [para(31701(a,1),50439(a,1,2,2,2,2,2)),rewrite(28082(8),52692(10),28082(10))]. given #2668 (F,wt=21): 60577 f(x,f(c_0,f(f(y,y),f(c_0,f(f(x,f(y,z)),f(u,v)))))) = c_0. [para(32407(a,1),50716(a,1,2,2,2,2,2,2)),rewrite(28082(7))]. given #2669 (T,wt=21): 60597 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(f(u,y),f(y,v))))) = c_0. [para(29935(a,1),50723(a,1,2,2,2,2)),rewrite(28082(7),28082(8))]. given #2670 (T,wt=21): 60627 f(f(x,y),f(y,f(f(c_0,f(x,y)),f(z,f(c_0,f(u,v)))))) = y. [para(19141(a,1),50737(a,1,2,2,2,2)),rewrite(28082(8),28082(9))]. given #2671 (A,wt=31): 29742 f(c_0,f(f(x,y),f(c_0,f(f(z,x),f(x,u))))) = f(x,f(f(x,y),f(x,f(f(z,x),f(x,u))))). [para(19297(a,2),19010(a,1,2,1)),rewrite(28082(8),28082(15))]. given #2672 (F,wt=21): 60631 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(z,u),f(z,v))))) = y. [para(29375(a,1),50737(a,1,2,2,2,2)),rewrite(28082(6),28082(7))]. given #2673 (F,wt=21): 60633 f(f(x,y),f(y,f(f(c_0,f(x,y)),f(f(z,u),f(v,w))))) = y. [para(29845(a,1),50737(a,1,2,2,2,2)),rewrite(28082(7),28082(8))]. given #2674 (T,wt=21): 60636 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(u,z),f(z,v))))) = y. [para(29935(a,1),50737(a,1,2,2,2,2)),rewrite(28082(6),28082(7))]. given #2675 (T,wt=21): 60706 f(f(x,y),f(x,f(f(z,f(x,y)),f(f(z,u),f(z,v))))) = x. [para(29375(a,1),50738(a,1,2,2,2,2)),rewrite(28082(6),28082(7))]. given #2676 (A,wt=31): 29743 f(c_0,f(f(x,x),f(c_0,f(f(y,z),f(z,u))))) = f(c_0,f(f(x,x),f(z,f(f(y,z),f(z,u))))). [para(19297(a,1),19010(a,2,2,1)),rewrite(28082(8),14500(8),28082(8),28082(16),14500(16),28082(16))]. given #2677 (F,wt=21): 60707 f(f(x,y),f(x,f(f(c_0,f(x,y)),f(f(z,u),f(v,w))))) = x. [para(29845(a,1),50738(a,1,2,2,2,2)),rewrite(28082(7),28082(8))]. given #2678 (F,wt=21): 60708 f(f(x,y),f(x,f(f(z,f(x,y)),f(f(u,z),f(z,v))))) = x. [para(29935(a,1),50738(a,1,2,2,2,2)),rewrite(28082(6),28082(7))]. given #2679 (T,wt=21): 60870 f(f(x,f(x,f(c_0,f(y,z)))),f(x,f(f(x,y),f(u,v)))) = x. [para(31701(a,1),51251(a,1,2,2,1)),rewrite(28082(8),56016(10),28082(6),28082(10))]. given #2680 (T,wt=21): 60953 f(f(f(x,y),f(x,z)),f(c_0,f(f(u,u),f(x,f(u,v))))) = c_0. [para(29375(a,1),51463(a,1,2,2,2,2)),rewrite(28082(7))]. given #2681 (A,wt=31): 29744 f(c_0,f(f(x,y),f(c_0,f(f(y,z),f(y,u))))) = f(y,f(f(x,y),f(y,f(f(y,z),f(y,u))))). [para(19010(a,2),19297(a,1,2,2))]. given #2682 (F,wt=21): 60955 f(f(f(x,y),f(y,z)),f(c_0,f(f(u,u),f(y,f(u,v))))) = c_0. [para(29935(a,1),51463(a,1,2,2,2,2)),rewrite(28082(7))]. given #2683 (F,wt=21): 61112 f(x,f(c_0,f(f(y,z),f(x,f(z,f(f(u,y),f(y,v))))))) = c_0. [para(29935(a,1),51736(a,1,2,2,2,2)),rewrite(28082(5),28082(7),28082(8))]. given #2684 (T,wt=21): 61118 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(f(x,x),f(u,v)))))) = c_0. [para(29957(a,1),51736(a,1,2,2,1)),rewrite(28082(9),52692(12))]. given #2685 (T,wt=21): 61122 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(f(y,x),f(u,v)))))) = c_0. [para(31701(a,1),51736(a,1,2,2,1)),rewrite(28082(9),52692(12))]. given #2686 (A,wt=31): 29745 f(c_0,f(f(x,y),f(y,f(f(y,z),f(y,u))))) = f(y,f(f(x,y),f(c_0,f(f(y,z),f(y,u))))). [para(19010(a,2),19297(a,2,2,2))]. given #2687 (F,wt=21): 61159 f(f(x,y),f(y,f(z,f(f(x,y),f(f(z,z),f(u,v)))))) = y. [para(35373(a,1),51979(a,1,2,2,2)),rewrite(14500(14,R),28082(9),28082(11),14874(11))]. given #2688 (F,wt=21): 61165 f(f(x,y),f(y,f(z,f(c_0,f(f(z,f(x,y)),f(u,v)))))) = y. [para(37452(a,1),51979(a,1,2,2,2)),rewrite(14500(16,R),28082(10),28082(12),14874(12))]. given #2689 (T,wt=21): 61176 f(f(x,y),f(y,f(z,f(z,f(f(z,f(x,y)),f(u,v)))))) = y. [para(53229(a,1),51979(a,1,2,2,2)),rewrite(14500(14,R),28082(9),28082(11),14874(11))]. given #2690 (T,wt=21): 61235 f(f(x,y),f(x,f(z,f(f(x,y),f(f(z,z),f(u,v)))))) = x. [para(35373(a,1),51981(a,1,2,2,2)),rewrite(14500(14,R),28082(9),28082(11),14874(11))]. given #2691 (A,wt=31): 29746 f(c_0,f(f(x,y),f(c_0,f(f(y,z),f(y,u))))) = f(y,f(f(x,y),f(c_0,f(f(y,z),f(y,u))))). [para(19029(a,1),19297(a,1,2,2)),rewrite(19029(17))]. given #2692 (F,wt=21): 61241 f(f(x,y),f(x,f(z,f(c_0,f(f(z,f(x,y)),f(u,v)))))) = x. [para(37452(a,1),51981(a,1,2,2,2)),rewrite(14500(16,R),28082(10),28082(12),14874(12))]. given #2693 (F,wt=21): 61252 f(f(x,y),f(x,f(z,f(z,f(f(z,f(x,y)),f(u,v)))))) = x. [para(53229(a,1),51981(a,1,2,2,2)),rewrite(14500(14,R),28082(9),28082(11),14874(11))]. given #2694 (T,wt=21): 61297 f(x,f(c_0,f(f(y,y),f(f(z,y),f(u,f(x,f(z,y))))))) = c_0. [para(22(a,1),52416(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #2695 (T,wt=21): 61298 f(x,f(c_0,f(f(y,y),f(f(y,z),f(u,f(x,f(y,z))))))) = c_0. [para(16188(a,1),52416(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #2696 (A,wt=35): 29748 f(f(x,f(c_0,f(f(x,y),f(x,f(f(z,x),f(x,u)))))),f(c_0,f(f(x,y),f(c_0,f(f(z,x),f(x,u)))))) = x. [para(19297(a,2),19034(a,1,1,2,1)),rewrite(28082(8),28082(16),28082(19))]. given #2697 (F,wt=21): 61300 f(x,f(c_0,f(f(y,f(z,f(x,y))),f(f(y,u),f(y,v))))) = c_0. [para(19010(a,2),52416(a,1,2,2,2,2)),rewrite(14874(11))]. given #2698 (F,wt=21): 61333 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(f(u,y),f(y,v))))) = c_0. [para(29935(a,1),52550(a,1,2,2,2,2)),rewrite(28082(7),28082(8))]. given #2699 (T,wt=21): 61401 f(x,f(c_0,f(y,f(f(z,u),f(z,x))))) = f(y,f(c_0,f(z,x))). [para(31166(a,1),52882(a,1,1,2)),rewrite(28082(5),28082(10),28082(12),52700(12),28082(9)),flip(a)]. given #2700 (T,wt=21): 61402 f(x,f(c_0,f(y,f(f(z,u),f(u,x))))) = f(y,f(c_0,f(u,x))). [para(31212(a,1),52882(a,1,1,2)),rewrite(28082(5),28082(10),28082(12),52700(12),28082(9)),flip(a)]. given #2701 (A,wt=33): 29756 f(f(f(x,y),f(y,z)),f(f(u,f(y,f(f(x,y),f(y,z)))),f(v,f(c_0,f(f(x,y),f(y,z)))))) = c_0. [para(19297(a,1),19141(a,1,2,1,2))]. given #2702 (F,wt=21): 61469 f(x,f(c_0,f(y,f(z,f(x,f(f(x,y),f(x,u))))))) = f(x,y). [para(19010(a,1),53353(a,1,2,2,2,2)),rewrite(28082(4))]. given #2703 (F,wt=21): 61525 f(f(x,x),f(y,f(y,f(c_0,f(z,x))))) = f(f(y,y),f(x,x)). [para(54270(a,1),28086(a,1,2,2,2)),rewrite(28082(9),29525(11)),flip(a)]. given #2704 (T,wt=21): 61530 f(x,f(f(x,f(x,f(y,y))),f(f(z,y),f(y,u)))) = f(x,x). [para(29683(a,1),54270(a,1,2,2,2,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(5),14500(5),28082(7))]. given #2705 (T,wt=21): 61554 f(x,f(f(x,f(x,f(y,y))),f(f(y,z),f(y,u)))) = f(x,x). [para(28200(a,1),54270(a,1,2,2,2,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(5),14500(5),28082(7))]. given #2706 (A,wt=31): 29757 f(f(x,f(y,y)),f(f(z,f(x,f(y,y))),f(y,u))) = f(c_0,f(f(z,f(x,f(y,y))),f(y,u))). [para(28173(a,1),19297(a,1,2,2)),rewrite(28082(5),28082(16),28174(18)),flip(a)]. given #2707 (F,wt=21): 61560 f(f(x,f(x,y)),f(f(x,y),f(z,f(c_0,f(u,x))))) = f(x,y). [para(29506(a,1),28670(a,1,1,2,2)),rewrite(28082(5),28082(6),29506(12),29506(12),28082(7),28082(9),29506(15),28082(10))]. given #2708 (F,wt=21): 61592 f(f(f(x,f(x,y)),f(y,z)),f(f(y,z),f(y,u))) = f(y,z). [para(61561(a,1),31166(a,1,2,2)),rewrite(28082(7),61561(13))]. given #2709 (T,wt=21): 61629 f(f(x,f(x,f(c_0,f(y,z)))),f(x,f(f(u,v),f(y,y)))) = x. [para(61569(a,1),29526(a,1,2,2,2,2)),rewrite(28082(10))]. given #2710 (T,wt=21): 61630 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(u,v),f(y,y)))) = c_0. [para(61569(a,1),31782(a,1,2,2,2,2)),rewrite(28082(11))]. given #2711 (A,wt=33): 29759 f(f(x,f(c_0,f(y,z))),f(y,f(u,f(x,f(c_0,f(y,z)))))) = f(c_0,f(y,f(u,f(x,f(c_0,f(y,z)))))). [para(29367(a,1),19297(a,1,2,1)),rewrite(28082(6),29367(18),28082(17)),flip(a)]. given #2712 (F,wt=21): 61632 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(u,v),f(y,y)))))) = c_0. [para(61569(a,1),35262(a,1,2,2,2,2)),rewrite(28082(9))]. given #2713 (F,wt=21): 61654 f(f(c_0,f(x,y)),f(f(z,u),f(y,f(v,f(x,y))))) = f(x,y). [para(28084(a,1),61570(a,1,1,2)),rewrite(14500(15,R),28082(11),14874(11),28084(15))]. given #2714 (T,wt=21): 61655 f(f(c_0,f(x,y)),f(f(z,u),f(x,f(v,f(x,y))))) = f(x,y). [para(28086(a,1),61570(a,1,1,2)),rewrite(14500(15,R),28082(11),14874(11),28086(15))]. given #2715 (T,wt=21): 61656 f(f(c_0,f(x,y)),f(f(z,u),f(x,f(v,f(y,y))))) = f(x,y). [para(36616(a,1),61570(a,1,1,2)),rewrite(14500(15,R),28082(11),14874(11),36616(15))]. given #2716 (A,wt=35): 29760 f(f(c_0,f(x,f(c_0,f(f(y,y),f(z,f(f(u,z),f(z,v))))))),f(f(y,y),f(c_0,f(f(u,z),f(z,v))))) = c_0. [para(19297(a,1),19142(a,1,2,2,2,2,1)),rewrite(28082(7),14500(7),28082(7),28082(15),14500(15),28082(15),28082(19))]. given #2717 (F,wt=21): 61662 f(f(c_0,f(x,y)),f(x,f(f(z,u),f(y,f(v,f(x,y)))))) = c_0. [para(28084(a,1),61633(a,1,1,2)),rewrite(14500(15,R),28082(11),14874(11))]. given #2718 (F,wt=21): 61663 f(f(c_0,f(x,y)),f(y,f(f(z,u),f(x,f(v,f(x,y)))))) = c_0. [para(28086(a,1),61633(a,1,1,2)),rewrite(14500(15,R),28082(11),14874(11))]. given #2719 (T,wt=21): 61664 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(u,v),f(z,z)))) = c_0. [para(61633(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(11),14874(11),28082(11))]. given #2720 (T,wt=21): 61665 f(f(c_0,f(x,y)),f(x,f(z,f(x,f(f(u,v),f(y,y)))))) = c_0. [para(61633(a,1),28138(a,1,2,2,2)),rewrite(28082(12),14874(12),28082(10))]. given #2721 (A,wt=35): 29761 f(f(x,f(y,f(c_0,f(f(x,z),f(x,f(f(u,x),f(x,v))))))),f(f(x,z),f(c_0,f(f(u,x),f(x,v))))) = c_0. [para(19297(a,2),19142(a,1,1,1)),rewrite(28082(7),28082(14),28082(18))]. given #2722 (F,wt=21): 61667 f(f(c_0,f(x,y)),f(y,f(f(z,u),f(x,f(v,f(y,y)))))) = c_0. [para(36616(a,1),61633(a,1,1,2)),rewrite(14500(15,R),28082(11),14874(11))]. given #2723 (F,wt=21): 61674 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(u,v),f(z,z)))) = x. [para(61633(a,1),41506(a,1,2,2,2,2,2)),rewrite(28082(10),14874(10),28082(10))]. given #2724 (T,wt=21): 61682 f(f(x,x),f(y,f(f(x,z),f(y,u)))) = f(f(x,x),f(y,u)). [para(22(a,1),54871(a,1,2,1)),rewrite(28082(2),28082(4),28082(7),28082(9))]. given #2725 (T,wt=21): 61691 f(f(x,x),f(f(y,f(x,z)),f(y,f(u,v)))) = f(y,f(x,x)). [para(29200(a,1),54871(a,1,2,1)),rewrite(28082(6))]. given #2726 (A,wt=23): 29766 f(x,f(c_0,f(f(y,z),f(z,u)))) = f(x,f(z,f(f(y,z),f(z,u)))). [para(19297(a,1),19213(a,2,2,2,2)),rewrite(14783(14),29162(14),14783(16),14874(15))]. given #2727 (F,wt=21): 61709 f(x,f(f(y,z),f(y,f(u,f(c_0,f(v,f(x,x))))))) = f(x,y). [para(37923(a,1),54871(a,1,2,2,2)),rewrite(14500(3,R),28082(3),14553(3),14500(12,R),28082(12),14553(12),28082(10))]. given #2728 (F,wt=21): 61732 f(x,f(f(y,f(z,f(x,x))),f(u,f(c_0,f(y,v))))) = f(x,y). [para(28180(a,1),61681(a,1,2,1)),rewrite(28082(8))]. given #2729 (T,wt=21): 61734 f(x,f(f(y,f(z,f(x,x))),f(u,f(c_0,f(v,y))))) = f(x,y). [para(29343(a,1),61681(a,1,2,1)),rewrite(28082(8))]. given #2730 (T,wt=21): 61791 f(x,f(f(y,z),f(z,f(u,f(c_0,f(v,f(x,x))))))) = f(x,z). [para(37923(a,1),54918(a,1,2,2,2)),rewrite(14500(3,R),28082(3),14553(3),14500(12,R),28082(12),14553(12),28082(10))]. given #2731 (A,wt=27): 29767 f(f(f(x,y),f(y,z)),f(f(x,y),f(u,f(y,f(f(x,y),f(y,z)))))) = f(x,y). [para(19297(a,1),28829(a,1,2,2,2))]. given #2732 (F,wt=21): 61799 f(f(x,x),f(y,f(z,f(c_0,f(y,x))))) = f(f(y,y),f(x,x)). [para(54967(a,1),28086(a,1,2,2,2)),rewrite(28082(9),29525(11)),flip(a)]. given #2733 (F,wt=21): 61857 f(f(f(x,y),f(x,z)),f(c_0,f(f(u,v),f(x,f(u,v))))) = c_0. [para(28722(a,1),35992(a,1,2,2,2,1)),rewrite(14500(9,R),28082(6),26787(6))]. given #2734 (T,wt=21): 61887 f(x,f(c_0,f(f(y,y),f(f(z,y),f(u,f(x,f(y,y))))))) = c_0. [para(22(a,1),55135(a,1,2,2,2,2)),rewrite(28082(8),14500(8),28082(8))]. given #2735 (T,wt=21): 61894 f(x,f(c_0,f(y,f(y,f(z,f(x,f(f(y,y),f(u,v)))))))) = c_0. [para(29203(a,1),55135(a,1,2,2,2,2)),rewrite(14553(10),28082(8))]. given #2736 (A,wt=23): 29768 f(f(x,f(y,f(f(z,x),f(x,u)))),f(c_0,f(f(z,x),f(x,u)))) = x. [para(19297(a,2),28829(a,1,1)),rewrite(29735(11),28082(11))]. given #2737 (F,wt=21): 61958 f(x,f(f(y,f(c_0,f(z,f(x,x)))),f(f(u,v),f(x,x)))) = c_0. [para(55278(a,1),34833(a,1,2,2)),rewrite(28082(3),56081(7),28082(9),14553(12),28082(10))]. given #2738 (F,wt=21): 61977 f(x,f(f(y,z),f(f(x,x),f(y,y)))) = f(x,f(c_0,f(y,z))). [para(32407(a,1),55393(a,1,2,2)),rewrite(28082(3),28082(5))]. given #2739 (T,wt=19): 68480 f(x,f(f(y,f(x,x)),f(f(y,y),f(x,f(y,z))))) = c_0. [para(35256(a,1),61977(a,2)),rewrite(14500(8,R),28082(8),14553(8),28082(6),28082(7))]. given #2740 (T,wt=21): 61985 f(f(c_0,f(x,f(y,y))),f(x,f(f(x,f(x,y)),f(z,u)))) = c_0. [para(32343(a,1),55468(a,1,2,2,2)),rewrite(28082(1),28082(8),28082(10))]. given #2741 (A,wt=29): 29775 f(f(x,f(y,f(c_0,f(x,z)))),f(f(x,u),f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(29367(a,1),29304(a,1,1,2)),rewrite(28082(5),29367(15),28082(10),28082(11))]. given #2742 (F,wt=21): 62005 f(x,f(f(x,y),f(z,f(x,f(u,f(c_0,f(x,y))))))) = f(x,y). [para(22(a,1),55603(a,1,1)),rewrite(28082(1),28082(2),28082(4),8394(4),28082(2),28082(3),14500(4,R),28082(4),28082(10))]. given #2743 (F,wt=21): 62006 f(x,f(f(y,x),f(z,f(x,f(u,f(c_0,f(y,x))))))) = f(y,x). [para(22(a,1),55603(a,1,2,2,2,1)),rewrite(22(3),14500(4,R),28082(4))]. given #2744 (T,wt=21): 62025 f(f(x,y),f(z,z)) = f(f(z,z),f(c_0,f(f(x,y),f(z,u)))). [para(8394(a,1),55722(a,1,2,2)),rewrite(28082(3),14500(3),28082(8))]. given #2745 (T,wt=21): 62047 f(f(c_0,f(x,f(y,y))),f(x,f(f(z,u),f(c_0,f(v,y))))) = c_0. [para(55722(a,2),34832(a,1,1,2)),rewrite(28082(11))]. given #2746 (A,wt=29): 29776 f(f(x,f(y,f(c_0,f(z,x)))),f(f(x,u),f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(29506(a,1),29304(a,1,1,2)),rewrite(28082(5),29506(15),28082(10),28082(11))]. given #2747 (F,wt=21): 62048 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,f(x,y))),f(u,v)))))) = c_0. [para(55722(a,1),35532(a,1,2,2))]. given #2748 (F,wt=21): 62049 f(x,f(c_0,f(y,f(c_0,f(f(y,f(z,f(x,y))),f(u,v)))))) = c_0. [para(55722(a,1),35943(a,1,2,2))]. given #2749 (T,wt=21): 62051 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(f(x,y),f(u,v)))))))) = c_0. [para(55722(a,1),37499(a,1,2,2,2,2)),rewrite(28082(4))]. given #2750 (T,wt=21): 62055 f(x,f(f(y,f(x,x)),f(y,f(c_0,f(f(x,y),f(z,u)))))) = c_0. [para(55722(a,1),38781(a,1,2,2))]. given #2751 (A,wt=25): 29789 f(f(x,y),f(c_0,f(z,f(c_0,f(u,f(x,x)))))) = f(z,f(c_0,f(u,f(x,x)))). [para(29368(a,1),29506(a,1,2,2,2)),rewrite(14500(11,R),28082(7),14553(10),28082(8),28082(9))]. given #2752 (F,wt=19): 68590 f(x,f(f(y,f(x,x)),f(y,f(y,f(z,f(x,y)))))) = c_0. [para(28133(a,1),62055(a,1,2,2,2,2)),rewrite(14874(9))]. given #2753 (F,wt=19): 68601 f(x,f(f(y,f(x,x)),f(y,f(y,f(z,f(y,x)))))) = c_0. [para(68590(a,1),28082(a,1)),rewrite(28082(4),28082(9)),flip(a)]. given #2754 (T,wt=19): 68612 f(x,f(f(y,f(y,f(z,f(y,x)))),f(y,f(x,x)))) = c_0. [para(68590(a,1),28670(a,1,2,2)),rewrite(28082(1),28082(7),28082(11),28082(16),28082(20),28082(22),28082(23),30818(23),28082(4),28082(8)),flip(a)]. given #2755 (T,wt=21): 62064 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(f(x,y),f(u,v)))))))) = c_0. [para(55722(a,1),53228(a,1,2,2,2,2)),rewrite(28082(3))]. given #2756 (A,wt=23): 29795 f(x,f(c_0,f(y,f(f(x,z),f(x,u))))) = f(y,f(f(x,z),f(x,u))). [para(29375(a,1),22(a,1,1)),rewrite(14500(9,R),28082(6))]. given #2757 (F,wt=21): 62065 f(x,f(c_0,f(y,f(z,f(c_0,f(f(x,y),f(u,v))))))) = f(x,y). [para(55722(a,1),53353(a,1,2,2,2))]. given #2758 (F,wt=21): 62066 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(f(x,y),f(u,v)))))))) = c_0. [para(55722(a,1),53689(a,1,2,2,2,2))]. given #2759 (T,wt=21): 62068 f(x,f(y,f(y,f(c_0,f(f(x,x),f(z,u)))))) = f(x,f(y,y)). [para(55722(a,1),54964(a,1,2,2))]. given #2760 (T,wt=21): 62152 f(f(x,x),f(f(c_0,f(x,y)),f(z,f(f(x,y),f(u,y))))) = x. [para(31212(a,1),56113(a,1,2,2,2,2,2)),rewrite(28082(3),28082(4),28082(6),28082(7),28082(9),28082(10),28082(11),28082(13),28082(14),28082(15),28082(16),47206(18),38009(17),14500(8,R),28082(8),28082(9))]. given #2761 (A,wt=23): 29798 f(x,f(x,f(y,f(f(x,z),f(x,u))))) = f(y,f(f(x,z),f(x,u))). [para(29375(a,1),17394(a,1,1)),rewrite(29375(10),28082(5))]. given #2762 (F,wt=19): 68698 f(f(x,x),f(f(y,f(x,y)),f(f(y,z),f(y,u)))) = x. [para(29798(a,1),67565(a,1,2))]. given #2763 (F,wt=21): 62185 f(x,f(c_0,f(y,f(z,f(y,f(f(x,y),f(y,u))))))) = f(x,y). [para(19010(a,1),56251(a,1,2,2,2,2)),rewrite(28082(3),28082(4),28082(10))]. given #2764 (T,wt=21): 62194 f(f(x,x),f(y,f(z,f(z,f(x,y))))) = f(f(x,x),f(y,y)). [para(22(a,1),56284(a,1,2,2,2,2,2)),rewrite(28082(2))]. given #2765 (T,wt=21): 62198 f(x,f(f(y,f(x,y)),f(z,f(z,f(f(x,x),f(y,y)))))) = c_0. [para(30511(a,1),56284(a,1,2,2,2,2)),rewrite(28082(1),28082(5),28082(10),28082(12),14500(14,R),28082(13),17567(14))]. given #2766 (A,wt=27): 29799 f(f(x,y),f(z,f(f(u,f(c_0,f(x,y))),f(v,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [para(15611(a,1),29375(a,1,1)),rewrite(28082(5),28082(9))]. given #2767 (F,wt=21): 62204 f(f(x,x),f(y,f(x,f(c_0,f(y,z))))) = f(f(x,x),f(y,y)). [para(22(a,1),56303(a,1,2,2,1))]. given #2768 (F,wt=21): 62205 f(x,f(f(y,z),f(f(x,x),f(z,z)))) = f(x,f(c_0,f(y,z))). [para(22(a,1),56303(a,1,2,2,2,2)),rewrite(28082(4),14500(4),14500(9,R),28082(9))]. given #2769 (T,wt=21): 62208 f(x,f(y,f(f(x,x),f(f(y,z),f(y,u))))) = f(x,f(y,y)). [para(19010(a,2),56303(a,1,2,2,2,2)),rewrite(14874(8))]. given #2770 (T,wt=21): 62256 f(f(x,y),f(z,z)) = f(f(z,z),f(c_0,f(f(x,y),f(x,z)))). [para(27122(a,2),56772(a,1,2)),rewrite(14500(8,R),28082(8),14553(8),28180(11)),flip(a)]. given #2771 (A,wt=27): 29800 f(f(c_0,f(x,f(y,z))),f(u,f(f(y,z),f(v,f(x,f(y,z)))))) = f(x,f(y,z)). [para(15611(a,1),29375(a,1,2,2,1)),rewrite(14500(5,R),28082(4),28082(8))]. given #2772 (F,wt=19): 68831 f(f(f(x,y),f(y,z)),f(c_0,f(f(x,u),f(y,y)))) = c_0. [para(62256(a,2),34956(a,1,2,2)),rewrite(14500(4,R),28082(4),14553(4),28082(2))]. given #2773 (F,wt=21): 62299 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(f(y,y),f(u,v)))))) = c_0. [para(29203(a,1),56950(a,1,2,2,2,2)),rewrite(28082(7),14553(10),28082(8))]. given #2774 (T,wt=21): 62331 f(x,f(c_0,f(f(x,y),f(f(z,y),f(u,f(c_0,f(x,y))))))) = c_0. [para(31212(a,1),57157(a,1,2,2,2)),rewrite(28082(3),28082(4),14500(5,R),28082(5),28082(8),28082(9))]. given #2775 (T,wt=21): 62342 f(f(x,x),f(f(x,y),f(f(y,f(x,x)),f(c_0,f(y,z))))) = c_0. [para(22(a,1),57455(a,1,2,1,2)),rewrite(28082(2),28082(4))]. given #2776 (A,wt=33): 29805 f(f(f(x,y),f(x,z)),f(u,f(x,f(v,f(c_0,f(f(x,y),f(x,z))))))) = f(c_0,f(f(x,y),f(x,z))). [para(19034(a,1),29375(a,1,2,2,1)),rewrite(14500(11,R),28082(7),14874(7),28082(9))]. given #2777 (F,wt=21): 62343 f(x,f(f(f(x,x),f(y,z)),f(f(x,f(y,z)),f(z,z)))) = c_0. [para(22(a,1),57455(a,1,2,2,2,2)),rewrite(28082(3),28082(7),14500(7))]. given #2778 (F,wt=21): 62345 f(x,f(f(f(x,x),f(y,z)),f(f(y,y),f(x,f(y,z))))) = c_0. [para(16188(a,1),57455(a,1,2,2,2,2)),rewrite(28082(3),28082(7),14500(7),28082(7))]. given #2779 (T,wt=19): 68891 f(x,f(f(y,f(x,x)),f(f(x,y),f(c_0,f(z,y))))) = c_0. [para(22(a,1),62345(a,1,2,2,2,2)),rewrite(22(4),28082(2),14500(5,R),28082(5),28082(7))]. given #2780 (T,wt=21): 62346 f(x,f(f(f(x,x),f(y,z)),f(f(y,z),f(x,f(y,z))))) = c_0. [para(15587(a,1),57455(a,1,2,2,2,2)),rewrite(28082(3),14874(10),28082(7))]. given #2781 (A,wt=35): 29809 f(x,f(f(y,f(f(x,z),f(x,u))),f(v,f(x,f(y,f(f(x,z),f(x,u))))))) = f(y,f(f(x,z),f(x,u))). [para(29375(a,1),27747(a,1,1)),rewrite(29375(14),28082(9))]. given #2782 (F,wt=19): 68911 f(f(x,x),f(c_0,f(f(y,z),f(f(u,x),f(y,z))))) = c_0. [para(62346(a,1),67738(a,1,2,2,2)),rewrite(14500(3,R),28082(3),28082(5),39055(11),28082(11),14553(11),28082(9),14500(9),28082(9))]. given #2783 (F,wt=21): 62348 f(x,f(f(y,f(x,x)),f(f(x,y),f(f(y,z),f(y,u))))) = c_0. [para(19010(a,2),57455(a,1,2,2,2,2)),rewrite(14874(10))]. given #2784 (T,wt=21): 62368 f(f(x,x),f(f(x,y),f(y,f(c_0,f(z,f(y,f(x,x))))))) = c_0. [para(22(a,1),57456(a,1,2,1,2)),rewrite(28082(2),28082(5))]. given #2785 (T,wt=21): 62376 f(x,f(f(f(x,x),f(y,y)),f(f(y,y),f(x,f(y,z))))) = c_0. [para(32212(a,1),57456(a,1,2,2,2,2)),rewrite(28082(3),28082(7),14874(10))]. given #2786 (A,wt=23): 29810 f(f(x,f(f(y,z),f(y,u))),f(y,f(x,f(f(y,z),f(y,u))))) = y. [para(29375(a,1),29297(a,1,2,2)),rewrite(28082(9),29375(16))]. given #2787 (F,wt=19): 68932 f(f(x,x),f(c_0,f(f(y,y),f(f(z,x),f(y,u))))) = c_0. [para(62376(a,1),67738(a,1,2,2,2)),rewrite(14500(3,R),28082(3),28082(5),39055(11),28082(11),14553(11),28082(9),14500(9),28082(9))]. given #2788 (F,wt=21): 62423 f(f(x,x),f(c_0,f(y,f(f(x,z),f(u,f(y,f(x,x))))))) = c_0. [para(30615(a,1),57628(a,1,2,2,2)),rewrite(28082(7))]. given #2789 (T,wt=21): 62538 f(f(x,y),f(y,f(z,f(z,f(y,f(f(x,u),f(x,v))))))) = y. [para(19010(a,2),58574(a,1,2,2,2,2,2,2)),rewrite(14874(8))]. given #2790 (T,wt=21): 62550 f(f(x,y),f(y,f(z,f(z,f(x,f(f(y,u),f(y,v))))))) = y. [para(19010(a,2),58576(a,1,2,2,2,2,2,2)),rewrite(14874(8))]. given #2791 (A,wt=27): 29811 f(f(x,f(y,f(z,f(f(x,u),f(x,v))))),f(c_0,f(z,f(f(x,u),f(x,v))))) = c_0. [para(29375(a,1),29300(a,1,2,1)),rewrite(14500(9,R),28082(6),28082(11),28082(13))]. given #2792 (F,wt=21): 62578 f(f(x,y),f(x,f(z,f(z,f(y,f(f(x,u),f(x,v))))))) = x. [para(19010(a,2),58609(a,1,2,2,2,2,2,2)),rewrite(14874(8))]. given #2793 (F,wt=21): 62594 f(f(x,y),f(x,f(z,f(c_0,f(x,f(f(u,y),f(y,v))))))) = x. [para(30229(a,1),58612(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(10),12782(11),28082(10))]. given #2794 (T,wt=21): 62614 f(x,f(f(y,x),f(z,f(c_0,f(u,f(c_0,f(y,v))))))) = f(y,x). [para(61565(a,1),58612(a,1,2,2,2)),rewrite(14500(10,R),28082(7),17394(13),28082(10))]. given #2795 (T,wt=21): 62619 f(f(x,f(y,f(y,f(z,x)))),f(c_0,f(f(z,x),f(x,u)))) = x. [para(19297(a,2),58613(a,1,1)),rewrite(14500(8,R),28082(8),29162(9),28082(10))]. given #2796 (A,wt=27): 29817 f(f(c_0,f(x,f(y,y))),f(z,f(f(y,u),f(v,f(x,f(y,y)))))) = f(x,f(y,y)). [para(28173(a,1),29375(a,1,2,2,1)),rewrite(14500(5,R),28082(4),28082(5),28082(8))]. given #2797 (F,wt=21): 62676 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,f(x,f(y,v))))) = c_0. [para(61681(a,1),58628(a,1,2,2)),rewrite(14500(4,R),28082(4),14553(4),28082(2),28082(8),28082(10))]. given #2798 (F,wt=21): 62732 f(x,f(c_0,f(y,f(x,f(z,f(x,f(f(y,y),f(u,v)))))))) = c_0. [para(29203(a,1),59036(a,1,2,2,2,2)),rewrite(14553(10),28082(8))]. given #2799 (T,wt=21): 62766 f(f(c_0,f(x,f(x,f(y,z)))),f(y,f(f(u,v),f(z,z)))) = c_0. [para(55278(a,1),59380(a,1,2,2,2,2,2,2)),rewrite(28082(3),56081(7),14553(8),28082(10))]. given #2800 (T,wt=21): 62807 f(f(x,f(y,f(y,f(x,z)))),f(z,z)) = f(f(x,x),f(z,z)). [para(59506(a,1),28191(a,1,2,2,2,2,2,2)),rewrite(28082(33),14500(33),28082(33),28082(35),38012(37),14500(25,R),28082(20),28082(21),36952(21),29525(19),57305(14),8394(8),28082(3),14500(3),28082(3)),flip(a)]. given #2801 (A,wt=27): 29818 f(f(x,f(y,y)),f(c_0,f(z,f(f(y,u),f(y,v))))) = f(z,f(f(y,u),f(y,v))). [para(29375(a,1),29506(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(8),14500(8),28082(9))]. given #2802 (F,wt=21): 62851 f(f(x,f(y,f(z,z))),f(f(x,z),f(x,f(y,f(z,u))))) = c_0. [para(36546(a,1),59987(a,1,1,2)),rewrite(14500(6,R),28082(6),14553(6),14500(13,R),28082(10),14874(10))]. given #2803 (F,wt=21): 62965 f(f(x,x),f(c_0,f(y,f(f(z,x),f(u,f(y,f(x,x))))))) = c_0. [para(60571(a,1),50699(a,1,1)),rewrite(28082(5),14500(5),28082(6),14500(6),14500(6,R),28082(6),14553(6),28082(6),14500(6),28082(6),28082(12),14874(14))]. given #2804 (T,wt=21): 63092 f(f(x,x),f(f(y,x),f(f(y,y),f(f(y,y),f(x,x))))) = c_0. [para(30332(a,1),61074(a,1,1,2,2)),rewrite(22(11),28082(9),14500(9),28082(9))]. given #2805 (T,wt=21): 63125 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(f(x,x),f(u,v)))) = c_0. [para(29203(a,1),61438(a,1,2,2,2,2)),rewrite(28082(5),14553(10),28082(8),28082(10))]. given #2806 (A,wt=29): 29819 f(f(f(x,y),f(x,z)),f(x,f(u,f(f(x,y),f(x,z))))) = f(u,f(f(x,y),f(x,z))). [para(29375(a,1),28216(a,1,2,2)),rewrite(28082(7),28082(8),28082(13))]. given #2807 (F,wt=21): 63139 f(x,f(c_0,f(y,f(x,f(z,f(y,f(f(x,y),f(y,u)))))))) = c_0. [para(19010(a,1),61500(a,1,2,2,2,2,2)),rewrite(28082(3),28082(4))]. given #2808 (F,wt=21): 63150 f(x,f(c_0,f(f(y,x),f(c_0,f(z,f(f(y,u),f(y,v))))))) = c_0. [para(61573(a,1),51711(a,1,1,2,2)),rewrite(17394(4),14500(11,R),28082(8))]. given #2809 (T,wt=21): 63180 f(f(x,x),f(y,f(f(y,z),f(x,x)))) = f(f(y,z),f(x,x)). [para(30207(a,1),61585(a,1,2)),rewrite(28082(2),28082(3),28082(6),28082(8),28082(9))]. given #2810 (T,wt=21): 63239 f(x,f(f(c_0,f(y,f(x,x))),f(f(z,u),f(v,w)))) = f(x,x). [para(58628(a,1),61716(a,1,2,2,1)),rewrite(28082(8),58628(18),14500(11))]. given #2811 (A,wt=31): 29821 f(f(c_0,f(x,y)),f(z,f(f(u,f(x,y)),f(c_0,f(f(y,f(x,y)),f(v,f(x,y))))))) = f(x,y). [para(19213(a,1),29375(a,1,2,2,1)),rewrite(14500(3,R),28082(3),28082(12),28082(13))]. given #2812 (F,wt=21): 63265 f(x,f(y,f(f(y,f(y,f(x,x))),f(z,u)))) = f(x,f(y,y)). [para(32337(a,1),61828(a,1,2,2)),rewrite(28082(2),14500(2)),flip(a)]. given #2813 (F,wt=19): 69065 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(z,x))) = c_0. [para(63265(a,1),59479(a,1,2,2,2,2,2,2)),rewrite(14500(13,R),28082(8),28082(17),36952(17),63279(15),28082(7))]. given #2814 (T,wt=21): 63279 f(x,f(c_0,f(y,f(f(y,f(z,f(x,x))),f(u,v))))) = f(x,y). [para(53165(a,1),61828(a,1,2,2)),rewrite(36616(6),28082(1)),flip(a)]. given #2815 (T,wt=21): 63281 f(x,f(f(y,z),f(y,f(u,f(y,f(v,f(x,x))))))) = f(x,y). [para(54451(a,1),61828(a,1,2,2)),rewrite(28082(4),36616(6),28082(1),28082(5)),flip(a)]. given #2816 (A,wt=27): 29822 f(x,f(f(y,f(x,y)),f(z,f(f(x,u),f(x,v))))) = f(z,f(f(x,u),f(x,v))). [para(29375(a,1),28425(a,1,1)),rewrite(29375(10),28082(5),28082(7))]. given #2817 (F,wt=21): 63319 f(x,f(c_0,f(f(y,y),f(f(y,z),f(c_0,f(x,f(y,u))))))) = c_0. [para(32212(a,1),61910(a,1,2,2,2,2)),rewrite(14500(5,R),28082(5),14553(5),28082(3),28082(5))]. given #2818 (F,wt=21): 63430 f(x,f(f(y,x),f(c_0,f(x,f(x,f(c_0,f(y,z))))))) = f(y,x). [para(29886(a,1),62117(a,2,2,2,2)),rewrite(29886(7),14500(12,R),28082(8),28082(18),12782(18),32229(17),14874(15))]. given #2819 (T,wt=21): 63463 f(f(x,y),f(f(x,y),f(c_0,f(y,f(y,f(c_0,f(x,z))))))) = y. [para(29886(a,1),62118(a,1,2,2,2,2)),rewrite(14500(12,R),28082(8),28082(17),12782(17),32229(16),14874(14),28082(11),29886(18))]. given #2820 (T,wt=21): 63467 f(f(x,y),f(f(x,y),f(c_0,f(x,f(y,f(c_0,f(x,z))))))) = x. [para(33274(a,1),62118(a,1,2,2,2,2)),rewrite(14500(12,R),28082(8),28082(17),29418(17),32229(16),14874(14),28082(11),33274(18))]. given #2821 (A,wt=27): 29824 f(f(c_0,f(x,y)),f(x,f(x,f(f(y,z),f(y,u))))) = f(x,f(f(y,z),f(y,u))). [para(29375(a,1),19216(a,1,2,2,2)),rewrite(28082(9))]. given #2822 (F,wt=21): 63522 f(f(x,x),f(c_0,f(y,f(z,f(c_0,f(u,x)))))) = f(y,f(x,x)). [para(29963(a,1),62184(a,1,2,2,2)),rewrite(14500(11,R),28082(7),28082(11),28082(15),12782(15),28082(14),36708(15),31002(9),14500(16,R),28082(12),52692(13)),flip(a)]. given #2823 (F,wt=21): 63531 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(x,f(x,y))))) = c_0. [para(62184(a,1),34975(a,1,1,2)),rewrite(28082(8))]. given #2824 (T,wt=21): 63556 f(f(x,f(y,f(z,z))),f(f(x,z),f(x,f(y,f(y,z))))) = c_0. [para(62184(a,1),56945(a,1,1,2)),rewrite(14500(9,R),28082(9),14553(9),28082(8))]. given #2825 (T,wt=21): 63559 f(f(x,x),f(c_0,f(y,f(z,f(y,f(u,x)))))) = f(y,f(x,x)). [para(59561(a,1),62184(a,1,2,2,2)),rewrite(14500(9,R),28082(6),28082(10),28082(14),12782(14),28082(13),36708(14),45145(8),14500(14,R),28082(11),52692(12)),flip(a)]. given #2826 (A,wt=27): 29826 f(x,f(y,f(x,f(z,f(f(y,u),f(y,v)))))) = f(x,f(z,f(f(y,u),f(y,v)))). [para(29375(a,1),29720(a,1,2,2)),rewrite(28082(6))]. given #2827 (F,wt=21): 63632 f(x,f(f(y,f(x,x)),f(y,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(19010(a,1),62370(a,1,2,2,2)),rewrite(28082(4),28082(5))]. given #2828 (F,wt=21): 63643 f(f(x,x),f(c_0,f(y,f(f(x,z),f(z,f(z,f(x,u))))))) = c_0. [para(63638(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(10),14874(11))]. given #2829 (T,wt=21): 63647 f(f(x,f(x,y)),f(f(x,y),f(y,f(y,f(x,z))))) = f(x,y). [para(63638(a,1),28424(a,1,2,2,2)),rewrite(28082(9),14553(9),28082(7),28082(8))]. given #2830 (T,wt=19): 69181 f(x,f(f(y,y),f(x,f(y,y)))) = f(x,f(y,f(y,x))). [para(56648(a,1),63647(a,1,2,2,2)),rewrite(28082(5),32096(6),65199(5),28082(7),14500(9),28082(9),8394(9),28082(5),28082(8))]. given #2831 (A,wt=39): 29827 f(f(x,f(f(y,z),f(y,u))),f(y,f(v,f(x,f(f(y,z),f(y,u)))))) = f(c_0,f(y,f(v,f(x,f(f(y,z),f(y,u)))))). [para(29375(a,1),19297(a,1,2,1)),rewrite(28082(6),29375(18),28082(17)),flip(a)]. given #2832 (F,wt=21): 63656 f(f(x,x),f(f(x,y),f(y,f(y,f(z,f(c_0,f(x,u))))))) = c_0. [para(28180(a,1),63638(a,1,2,2,2,2))]. given #2833 (F,wt=21): 63658 f(f(x,x),f(f(x,y),f(z,f(c_0,f(y,f(y,f(x,u))))))) = c_0. [para(63638(a,1),38293(a,1,2,2,2)),rewrite(14500(8,R),28082(6),28082(12),14553(12),28082(10),14500(10),28082(10))]. given #2834 (T,wt=21): 63660 f(f(x,x),f(f(y,f(y,f(x,z))),f(u,f(c_0,f(y,x))))) = c_0. [para(63638(a,1),47638(a,1,2,2,2)),rewrite(28082(4),28082(5),14500(6,R),28082(6),28082(12),14553(12),28082(10),14500(10),28082(10))]. given #2835 (T,wt=21): 63661 f(f(x,x),f(f(y,f(y,f(x,z))),f(u,f(c_0,f(x,y))))) = c_0. [para(63638(a,1),48026(a,1,1)),rewrite(14500(9,R),28082(9),14874(14))]. given #2836 (A,wt=35): 29828 f(f(x,f(y,f(f(x,z),f(x,u)))),f(f(x,v),f(y,f(f(x,z),f(x,u))))) = f(y,f(f(x,z),f(x,u))). [para(29375(a,1),29304(a,1,1,2)),rewrite(28082(5),29375(15),28082(10),28082(11))]. given #2837 (F,wt=21): 63668 f(f(x,x),f(c_0,f(y,f(f(z,x),f(z,f(z,f(x,u))))))) = c_0. [para(63662(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(10),14553(10),28082(8),14500(8),28082(10),47426(10))]. given #2838 (F,wt=21): 63670 f(f(x,f(y,x)),f(f(y,x),f(y,f(y,f(x,z))))) = f(y,x). [para(63662(a,1),28424(a,1,2,2,2)),rewrite(28082(9),14553(9),28082(7),28082(8))]. given #2839 (T,wt=21): 63681 f(f(x,x),f(f(y,x),f(z,f(c_0,f(y,f(y,f(x,u))))))) = c_0. [para(63662(a,1),38293(a,1,2,2,2)),rewrite(14500(8,R),28082(6),28082(12),14553(12),28082(10),14500(10),28082(10))]. given #2840 (T,wt=21): 63708 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(u,v),f(y,y)))) = c_0. [para(55278(a,1),62673(a,1,2,2,2,2,2,2)),rewrite(28082(3),56081(7),28082(4),14553(9),28082(7),28082(11))]. given #2841 (A,wt=35): 29829 f(f(x,f(f(x,y),f(x,z))),f(f(f(x,y),f(x,z)),f(u,f(f(x,y),f(x,z))))) = f(f(x,y),f(x,z)). [para(29375(a,1),29304(a,1,2,2)),rewrite(28082(12),28082(13))]. given #2842 (F,wt=21): 63717 f(f(x,x),f(c_0,f(y,f(f(x,z),f(c_0,f(y,f(x,u))))))) = c_0. [para(32212(a,1),62714(a,1,2,2,2,2)),rewrite(14500(5,R),28082(5),14553(5),28082(3),28082(5))]. given #2843 (F,wt=21): 63832 f(x,f(c_0,f(f(y,y),f(f(z,f(x,f(y,y))),f(y,u))))) = c_0. [para(62952(a,1),37923(a,1)),rewrite(28082(4),14500(8,R),28082(8),14553(8),28082(6),28082(9)),flip(a)]. given #2844 (T,wt=21): 63833 f(f(x,x),f(c_0,f(y,f(f(z,f(y,f(x,x))),f(x,u))))) = c_0. [para(62952(a,1),50699(a,1,1)),rewrite(28082(5),14500(5),28082(5),28082(8),14500(8),28082(9),14500(9),14500(9,R),28082(9),14553(9),28082(7),28082(12),14874(14))]. given #2845 (T,wt=21): 63907 f(x,f(y,f(f(y,z),f(f(x,x),f(u,v))))) = f(x,f(y,z)). [para(22(a,1),63193(a,1,2,1)),rewrite(28082(1),28082(8))]. given #2846 (A,wt=35): 29832 f(f(x,f(y,f(c_0,f(f(z,x),f(x,f(f(x,u),f(x,v))))))),f(f(z,x),f(c_0,f(f(x,u),f(x,v))))) = c_0. [para(19010(a,2),19317(a,1,1,2)),rewrite(28082(18))]. given #2847 (F,wt=21): 63942 f(f(x,y),f(c_0,f(f(c_0,f(x,y)),f(f(z,u),f(v,w))))) = c_0. [para(29845(a,1),63249(a,1,2,2,2,1)),rewrite(28082(9))]. given #2848 (F,wt=21): 63983 f(x,f(f(y,z),f(z,f(u,f(z,f(v,f(x,x))))))) = f(x,z). [para(54463(a,1),63259(a,1,2,2)),rewrite(28082(4),61721(6),28082(5)),flip(a)]. given #2849 (T,wt=21): 64066 f(x,f(f(y,y),f(f(x,y),f(f(x,x),f(z,z))))) = f(x,x). [para(30511(a,1),63381(a,1,2,2,2)),rewrite(28082(5))]. given #2850 (T,wt=21): 64070 f(f(x,x),f(f(y,f(x,z)),f(f(x,u),f(y,f(x,x))))) = x. [para(36546(a,1),63381(a,1,2,2,1)),rewrite(14500(10,R),28082(7),14874(7),14500(8,R),28082(8),14553(8),28082(6),28082(7),14500(12,R),28082(12),14553(12))]. given #2851 (A,wt=35): 29833 f(f(f(x,y),f(y,f(f(y,z),f(y,u)))),f(y,f(v,f(c_0,f(f(x,y),f(c_0,f(f(y,z),f(y,u)))))))) = c_0. [para(19010(a,2),19317(a,1,2,2,2,2,2))]. given #2852 (F,wt=21): 64085 f(x,f(f(y,z),f(f(y,y),f(x,x)))) = f(x,f(c_0,f(y,z))). [para(63382(a,1),22(a,1,1)),rewrite(14500(13,R),28082(8),38139(9)),flip(a)]. given #2853 (F,wt=21): 64090 f(x,f(c_0,f(f(x,y),f(f(y,z),f(f(x,x),f(y,y)))))) = c_0. [para(63382(a,1),35500(a,1,2,2,2,2)),rewrite(28082(5),28082(8))]. given #2854 (T,wt=21): 64091 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(f(y,y),f(x,x)))) = c_0. [para(63382(a,1),35946(a,1,2,2,2,2)),rewrite(28082(7),28082(10))]. given #2855 (T,wt=21): 64429 f(f(f(x,y),f(y,z)),f(c_0,f(f(u,v),f(y,f(u,v))))) = c_0. [para(29935(a,1),63946(a,1,2,2,2,1))]. given #2856 (A,wt=35): 29836 f(f(f(x,f(y,f(z,z))),f(z,u)),f(f(y,f(z,z)),f(v,f(c_0,f(f(x,f(y,f(z,z))),f(z,u)))))) = c_0. [para(28173(a,1),19317(a,1,1,2)),rewrite(28082(4),28082(15),28174(17))]. given #2857 (F,wt=21): 64485 f(f(x,x),f(f(y,f(y,f(z,x))),f(u,f(c_0,f(y,x))))) = c_0. [para(64479(a,1),47638(a,1,2,2,2)),rewrite(28082(4),28082(5),14500(6,R),28082(6),28082(12),14553(12),28082(10),14500(10),28082(10))]. given #2858 (F,wt=21): 64562 f(f(c_0,f(x,f(y,y))),f(y,f(c_0,f(z,u)))) = f(x,f(y,y)). [para(28180(a,1),29434(a,1,2))]. given #2859 (T,wt=21): 64575 f(f(x,x),f(y,f(f(x,z),f(u,y)))) = f(f(x,x),f(u,y)). [para(63258(a,1),29525(a,1,2,2)),rewrite(29525(7),14500(7,R),28082(7),14553(7),28082(5)),flip(a)]. given #2860 (T,wt=21): 64581 f(f(f(x,f(y,y)),f(y,z)),f(f(y,u),f(y,z))) = f(y,z). [para(29635(a,1),28670(a,1,2,2)),rewrite(28082(9),28082(10),29720(11),28082(8),28082(10),29372(10),28082(7),29369(7),28082(8),28082(9)),flip(a)]. given #2861 (A,wt=37): 29837 f(f(x,f(y,f(z,f(c_0,f(x,u))))),f(f(z,f(c_0,f(x,u))),f(v,f(c_0,f(x,f(y,f(z,f(c_0,f(x,u))))))))) = c_0. [para(29367(a,1),19317(a,1,1,1)),rewrite(28082(5),29367(17),28082(16))]. given #2862 (F,wt=21): 64586 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(x,u),f(x,z)))) = x. [para(29737(a,1),28424(a,1,2,2,2)),rewrite(28082(12),14874(12),28082(10))]. given #2863 (F,wt=21): 64606 f(f(x,y),f(c_0,f(z,f(z,f(x,f(f(u,y),f(y,v))))))) = c_0. [para(30299(a,1),29741(a,1,2)),rewrite(28082(10))]. given #2864 (T,wt=21): 64641 f(f(x,f(x,f(c_0,f(y,z)))),f(c_0,f(f(x,u),f(x,z)))) = x. [para(29959(a,1),29343(a,1,2,2)),rewrite(28082(3),14500(3),28082(3),8394(3),28082(9)),flip(a)]. given #2865 (T,wt=21): 64648 f(f(x,f(x,f(y,y))),f(f(y,z),f(c_0,f(x,f(y,u))))) = x. [para(36585(a,1),29967(a,1,2)),rewrite(28082(7))]. given #2866 (A,wt=23): 29839 f(f(f(x,y),f(y,z)),f(y,f(u,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(19297(a,1),19317(a,1,2,2,2))]. given #2867 (F,wt=21): 64681 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(x,y),f(u,v)))) = c_0. [para(64669(a,1),35341(a,1,2,2,1)),rewrite(28082(1),28082(7),28082(9),56016(11),28082(7),28082(11))]. given #2868 (F,wt=21): 64707 f(f(f(x,f(x,y)),f(y,z)),f(f(y,u),f(y,z))) = f(y,z). [para(30690(a,1),28670(a,1,2,2)),rewrite(28082(1),28082(7),28082(9),28082(10),29720(11),28082(6),28082(8),28082(10),17394(11),28082(6),28082(8),28082(9)),flip(a)]. given #2869 (T,wt=21): 64722 f(x,f(c_0,f(f(c_0,f(y,f(x,y))),f(f(z,u),f(v,w))))) = c_0. [para(30828(a,1),53067(a,1,2,2,2,2,2,2)),rewrite(28082(9))]. given #2870 (T,wt=21): 64727 f(x,f(c_0,f(f(c_0,f(y,z)),f(y,f(f(x,x),f(u,v)))))) = c_0. [para(36585(a,1),30853(a,1,2,2)),rewrite(28082(9))]. given #2871 (A,wt=43): 29841 f(f(x,f(y,f(z,f(f(x,u),f(x,v))))),f(f(z,f(f(x,u),f(x,v))),f(w,f(c_0,f(x,f(y,f(z,f(f(x,u),f(x,v))))))))) = c_0. [para(29375(a,1),19317(a,1,1,1)),rewrite(28082(5),29375(17),28082(16))]. given #2872 (F,wt=21): 64759 f(f(x,f(y,x)),f(x,f(z,f(c_0,f(f(y,y),f(u,v)))))) = x. [para(31053(a,1),28670(a,1,2,2)),rewrite(28082(7),31166(17),28082(15),16188(16),28082(1)),flip(a)]. given #2873 (F,wt=21): 64769 f(x,f(f(y,x),f(z,f(c_0,f(u,f(c_0,f(v,y))))))) = f(y,x). [para(31137(a,1),28670(a,1,2,2)),rewrite(28082(8),28082(19),28082(28),28082(29),28082(30),32096(30),14500(3,R),28082(3),53351(22),28082(2)),flip(a)]. given #2874 (T,wt=21): 64785 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(u,y),f(y,z)))) = c_0. [para(30968(a,1),31236(a,1,2,2,2,2)),rewrite(28082(4),28082(11))]. given #2875 (T,wt=21): 64823 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(f(x,x),f(y,y)))) = c_0. [para(31533(a,1),47638(a,1,2,2,2)),rewrite(14500(6,R),28082(6),14553(6),28082(4),28082(5),28082(12),14874(12),28082(10))]. given #2876 (A,wt=23): 29903 f(f(x,f(y,f(z,z))),f(f(y,f(z,z)),f(z,x))) = f(y,f(z,z)). [para(28173(a,1),29424(a,1,2,2)),rewrite(28082(3),28082(6))]. given #2877 (F,wt=21): 64865 f(x,f(f(y,x),f(z,f(c_0,f(f(x,x),f(u,v)))))) = f(y,x). [para(64837(a,1),58612(a,1,2,2,2)),rewrite(14500(8,R),28082(6),17394(12),28082(9))]. given #2878 (F,wt=21): 64866 f(x,f(c_0,f(y,f(y,f(f(x,f(z,f(y,x))),f(u,v)))))) = c_0. [para(31715(a,1),17567(a,1,2,2,2)),rewrite(28082(10),52692(12))]. given #2879 (T,wt=21): 64886 f(f(x,f(y,x)),f(x,f(f(y,f(z,f(y,x))),f(u,v)))) = x. [para(31715(a,1),28670(a,1,2,2)),rewrite(28082(1),28082(6),28082(8),31166(15),28082(7),28082(13),16188(14),28082(1),28082(3)),flip(a)]. given #2880 (T,wt=21): 64895 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(x,x),f(u,v)))) = c_0. [para(36586(a,1),31720(a,1,1,2))]. given #2881 (A,wt=35): 29921 f(f(x,f(c_0,f(f(y,x),f(x,f(f(x,z),f(x,u)))))),f(c_0,f(f(y,x),f(c_0,f(f(x,z),f(x,u)))))) = x. [para(19010(a,2),19328(a,1,1,2,2)),rewrite(28082(19))]. given #2882 (F,wt=21): 64936 f(f(x,f(y,f(x,f(z,x)))),f(x,f(f(z,z),f(u,v)))) = x. [para(31748(a,1),28670(a,1,2,2)),rewrite(28082(4),31166(13),28082(9),16188(10),28082(1)),flip(a)]. given #2883 (F,wt=21): 64957 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(u,v),f(y,x)))) = c_0. [para(31817(a,1),38009(a,2)),rewrite(28082(4),28082(13),29644(13),28082(15),52701(17),28082(11))]. given #2884 (T,wt=21): 64958 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(u,v),f(z,x)))) = c_0. [para(31817(a,1),38012(a,2)),rewrite(28082(13),29644(13),52701(17),28082(7),28082(11))]. given #2885 (T,wt=21): 64969 f(f(c_0,f(x,y)),f(y,f(f(y,f(z,f(x,y))),f(u,v)))) = c_0. [para(28084(a,1),32179(a,1,1,2))]. given #2886 (A,wt=35): 29922 f(f(c_0,f(f(x,y),f(y,f(f(y,z),f(y,u))))),f(y,f(c_0,f(f(x,y),f(c_0,f(f(y,z),f(y,u))))))) = y. [para(19010(a,2),19328(a,1,2,2,2,2))]. given #2887 (F,wt=21): 64970 f(f(c_0,f(x,y)),f(x,f(f(x,f(z,f(x,y))),f(u,v)))) = c_0. [para(28086(a,1),32179(a,1,1,2))]. given #2888 (F,wt=21): 64972 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(x,y),f(u,v)))) = c_0. [para(36585(a,1),32179(a,1,1,2)),rewrite(28082(7))]. given #2889 (T,wt=21): 64973 f(f(c_0,f(x,f(c_0,f(y,z)))),f(z,f(f(x,z),f(u,v)))) = c_0. [para(36586(a,1),32179(a,1,1,2)),rewrite(28082(7))]. given #2890 (T,wt=21): 64974 f(f(c_0,f(x,y)),f(x,f(f(x,f(z,f(y,y))),f(u,v)))) = c_0. [para(36616(a,1),32179(a,1,1,2))]. given #2891 (A,wt=23): 29932 f(f(x,f(y,y)),f(f(z,y),f(y,u))) = f(c_0,f(f(z,y),f(y,u))). [para(19328(a,1),29367(a,1,2,2,2)),rewrite(14500(11,R),28082(7),14874(7),28082(5),14500(5),28082(6))]. given #2892 (F,wt=21): 64975 f(f(c_0,f(x,f(y,y))),f(x,f(f(x,f(y,z)),f(u,v)))) = c_0. [para(36546(a,1),32179(a,1,1,2))]. given #2893 (F,wt=21): 65019 f(f(x,y),f(y,f(c_0,f(z,f(c_0,f(u,x)))))) = f(c_0,f(x,y)). [para(29534(a,1),32247(a,1,2,2)),rewrite(28082(7),28082(8),28082(9),14500(24,R),28082(19),14874(19),29506(16),28082(11))]. given #2894 (T,wt=21): 65054 f(f(x,y),f(f(y,f(c_0,f(x,z))),f(x,f(c_0,f(y,u))))) = c_0. [para(36585(a,1),32257(a,1,2,1))]. given #2895 (T,wt=21): 65055 f(f(x,y),f(f(x,f(c_0,f(y,z))),f(x,f(c_0,f(y,u))))) = c_0. [para(36586(a,2),32257(a,1,2,1))]. given #2896 (A,wt=43): 29934 f(f(x,f(y,f(c_0,f(f(z,x),f(x,u))))),f(f(c_0,f(f(z,x),f(x,u))),f(v,f(c_0,f(x,f(y,f(c_0,f(f(z,x),f(x,u))))))))) = c_0. [para(19328(a,1),19142(a,1,1,2)),rewrite(28082(6),28082(7),28082(19),19328(31),28082(20))]. given #2897 (F,wt=21): 65059 f(f(x,x),f(f(y,x),f(y,f(c_0,f(z,f(y,f(x,x))))))) = c_0. [para(63470(a,1),32257(a,1,2,1)),rewrite(28082(8),52718(12))]. given #2898 (F,wt=21): 65075 f(x,f(c_0,f(y,f(z,f(y,f(f(y,x),f(u,v))))))) = f(y,x). [para(32342(a,1),62184(a,1,2,2,2)),rewrite(14500(13,R),28082(8),28082(11),28082(14),12782(14),28082(13),36708(14),28082(9),53309(9),14500(16,R),28082(11),52692(12)),flip(a)]. given #2899 (T,wt=21): 65086 f(f(c_0,f(x,y)),f(x,f(f(y,f(z,f(x,x))),f(u,v)))) = c_0. [para(29394(a,1),32373(a,1,2,2,1))]. given #2900 (T,wt=21): 65090 f(x,f(c_0,f(y,f(y,f(f(x,f(z,f(x,y))),f(u,v)))))) = c_0. [para(32375(a,1),63320(a,1,2,2,2,2,2)),rewrite(28082(12),14530(13),36952(13),28180(13))]. given #2901 (A,wt=27): 29936 f(x,f(f(y,f(x,y)),f(c_0,f(f(z,x),f(x,u))))) = f(c_0,f(f(z,x),f(x,u))). [para(19328(a,1),28424(a,1,2,2,2,2)),rewrite(19328(12),28082(6),28082(8))]. given #2902 (F,wt=21): 65124 f(f(c_0,f(x,f(y,y))),f(x,f(f(y,z),f(x,f(y,y))))) = c_0. [para(22(a,1),65119(a,1,2,2,1,2)),rewrite(28082(3),28082(5),28082(7))]. given #2903 (F,wt=21): 65125 f(f(c_0,f(x,f(y,z))),f(x,f(f(y,z),f(x,f(y,z))))) = c_0. [para(19010(a,1),65119(a,1,2,2,1)),rewrite(28082(3),14500(7,R),28082(7),14530(8),28082(7))]. given #2904 (T,wt=21): 65142 f(f(x,f(y,z)),f(x,f(f(x,f(x,f(y,y))),f(u,v)))) = x. [para(30615(a,1),32765(a,1,1))]. given #2905 (T,wt=21): 65144 f(f(x,f(y,z)),f(x,f(f(x,f(x,f(z,z))),f(u,v)))) = x. [para(30992(a,1),32765(a,1,1))]. given #2906 (A,wt=31): 29937 f(c_0,f(f(x,y),f(c_0,f(f(z,x),f(x,u))))) = f(x,f(f(x,y),f(c_0,f(f(z,x),f(x,u))))). [para(19328(a,1),19213(a,1,2,1,2)),rewrite(19328(12),28082(7),29917(7),19328(17),28082(6),28082(7),19328(27),28082(16),29917(16),19328(26),28082(15),28082(16)),flip(a)]. given #2907 (F,wt=21): 65158 f(f(x,f(y,x)),f(x,f(z,f(x,f(f(y,x),f(u,v)))))) = x. [para(30967(a,1),32781(a,1,2,2,2,2,1)),rewrite(22(4),28082(2),22(5),22(5),22(12))]. given #2908 (F,wt=21): 65192 f(x,f(c_0,f(f(y,y),f(f(y,z),f(f(x,x),f(u,v)))))) = c_0. [para(32889(a,1),50162(a,1,2,2,2,2)),rewrite(14500(3,R),28082(3),14553(3))]. given #2909 (T,wt=21): 65199 f(f(x,x),f(y,f(x,f(x,y)))) = f(f(x,x),f(y,f(x,x))). [para(56054(a,1),32889(a,1,2,2)),rewrite(14874(8))]. given #2910 (T,wt=21): 65207 f(x,f(f(y,f(x,x)),f(y,f(y,f(f(x,x),f(z,u)))))) = c_0. [para(32889(a,1),63638(a,1,2,2,2,2)),rewrite(14500(3,R),28082(3),14553(3),28082(2))]. given #2911 (A,wt=27): 29939 f(x,f(f(y,f(x,x)),f(c_0,f(f(z,x),f(x,u))))) = f(c_0,f(f(z,x),f(x,u))). [para(19328(a,1),28829(a,1,2,2,2,2)),rewrite(19328(12),28082(7),14500(7),28082(8))]. given #2912 (F,wt=21): 65211 f(x,f(f(x,f(y,z)),f(f(z,z),f(u,v)))) = f(x,f(y,z)). [para(32889(a,1),29394(a,1,2,2)),rewrite(14500(3,R),28082(3),14553(3),14500(10,R),28082(10),14553(10))]. given #2913 (F,wt=21): 65228 f(f(x,f(x,f(c_0,f(y,z)))),f(x,f(f(z,z),f(u,v)))) = x. [para(36687(a,1),32898(a,1,2,1)),rewrite(28082(17),28082(20),54221(20))]. given #2914 (T,wt=21): 65264 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(z,z),f(u,v)))))) = c_0. [para(33001(a,1),35256(a,1,2,2,2,2)),rewrite(14500(4,R),28082(4))]. given #2915 (T,wt=21): 65288 f(x,f(f(y,x),f(z,f(z,f(f(x,x),f(u,v)))))) = f(y,x). [para(33001(a,1),46071(a,1,2,2,2,2)),rewrite(22(3))]. given #2916 (A,wt=33): 29943 f(f(f(x,y),f(y,z)),f(u,f(y,f(v,f(c_0,f(f(x,y),f(y,z))))))) = f(c_0,f(f(x,y),f(y,z))). [para(19328(a,1),29375(a,1,2,2,1)),rewrite(14500(11,R),28082(7),14874(7),28082(9))]. given #2917 (F,wt=21): 65331 f(f(c_0,f(x,f(x,f(y,z)))),f(y,f(f(u,y),f(y,z)))) = c_0. [para(30968(a,1),33225(a,1,2,2,2,2)),rewrite(28082(4),28082(10))]. given #2918 (F,wt=21): 65341 f(f(x,y),f(c_0,f(x,f(f(z,y),f(u,f(c_0,f(y,v))))))) = c_0. [para(33279(a,1),38087(a,1,2,2)),rewrite(28082(11))]. given #2919 (T,wt=19): 69715 f(f(c_0,f(x,y)),f(y,f(f(z,f(z,x)),f(x,y)))) = c_0. [para(61592(a,1),65341(a,1,2,2)),rewrite(28082(5),28082(9))]. given #2920 (T,wt=21): 65342 f(f(x,y),f(x,f(x,f(f(z,y),f(u,f(c_0,f(y,v))))))) = x. [para(33279(a,1),38090(a,1,2,2)),rewrite(28082(10))]. given #2921 (A,wt=27): 29971 f(f(f(x,y),f(x,z)),f(f(x,z),f(u,f(x,f(f(x,y),f(x,z)))))) = f(x,z). [para(19010(a,1),29544(a,1,2,2,2))]. given #2922 (F,wt=21): 65343 f(x,f(c_0,f(f(x,y),f(f(z,y),f(u,f(c_0,f(y,v))))))) = c_0. [para(33279(a,1),38233(a,1,2,2,2,2)),rewrite(28082(9))]. given #2923 (F,wt=21): 65344 f(f(c_0,f(x,f(y,x))),f(f(z,y),f(u,f(c_0,f(y,v))))) = c_0. [para(33279(a,1),59380(a,1,2,2,2,2)),rewrite(28082(8),28082(11))]. given #2924 (T,wt=21): 65346 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(u,f(c_0,f(x,y))))) = c_0. [back_rewrite(56637),rewrite(28082(2),28082(5),28082(7))]. given #2925 (T,wt=21): 65407 f(x,f(c_0,f(f(y,f(z,f(y,x))),f(f(y,u),f(y,v))))) = c_0. [para(33615(a,1),38098(a,1,1)),rewrite(31010(13))]. given #2926 (A,wt=23): 29975 f(f(x,x),f(f(x,y),f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(29203(a,1),29544(a,1,1)),rewrite(29203(9),14553(7),28082(5),28082(6))]. given #2927 (F,wt=21): 65408 f(f(x,f(y,f(z,x))),f(x,f(z,f(f(x,u),f(x,v))))) = x. [para(33615(a,1),28670(a,1,2,2)),rewrite(28082(5),31166(14),28082(11),29798(11),28082(10),29810(10),28082(1)),flip(a)]. given #2928 (F,wt=21): 65492 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,f(u,v)),f(v,v)))) = c_0. [para(28082(a,1),35404(a,1,1,1))]. given #2929 (T,wt=21): 65506 f(f(x,x),f(c_0,f(f(y,f(z,x)),f(f(y,u),f(y,v))))) = c_0. [para(35404(a,1),36616(a,2)),rewrite(14500(23,R),28082(18),14874(18),36952(18),38419(18))]. given #2930 (T,wt=21): 65574 f(x,f(c_0,f(f(y,x),f(f(y,z),f(u,f(c_0,f(y,v))))))) = c_0. [para(36143(a,1),29343(a,1,2,2)),rewrite(28082(10),29379(10),28082(3)),flip(a)]. given #2931 (A,wt=31): 29976 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(c_0,f(y,f(u,f(x,y)))))) = f(c_0,f(y,f(u,f(x,y)))). [para(28084(a,1),29544(a,1,1)),rewrite(28084(13),28082(11))]. given #2932 (F,wt=21): 65578 f(f(x,x),f(c_0,f(y,f(f(z,x),f(f(y,y),f(u,v)))))) = c_0. [para(36192(a,1),40624(a,1,2)),rewrite(28082(11),28082(14),14874(14))]. given #2933 (F,wt=21): 65585 f(f(x,y),f(f(y,f(c_0,f(x,z))),f(y,f(c_0,f(x,u))))) = c_0. [para(36585(a,1),36606(a,1,2,1))]. given #2934 (T,wt=21): 65627 f(f(x,x),f(f(f(x,y),f(x,z)),f(f(u,v),f(w,v6)))) = x. [para(19010(a,2),65619(a,1,2,1,2)),rewrite(14874(8))]. given #2935 (T,wt=21): 65663 f(x,f(f(c_0,f(y,f(x,x))),f(z,f(c_0,f(u,v))))) = f(x,x). [para(22(a,1),65659(a,1,1)),rewrite(28082(3))]. given #2936 (A,wt=31): 29977 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(c_0,f(x,f(u,f(x,y)))))) = f(c_0,f(x,f(u,f(x,y)))). [para(28086(a,1),29544(a,1,1)),rewrite(28086(13),28082(11))]. given #2937 (F,wt=21): 65687 f(f(x,x),f(f(c_0,f(x,y)),f(z,f(u,f(c_0,f(v,w)))))) = x. [para(37779(a,1),65659(a,1,2,2,2,2)),rewrite(14874(12))]. given #2938 (F,wt=21): 65694 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(z,x),f(u,v)))) = c_0. [para(36796(a,1),28082(a,1)),rewrite(28082(8),28082(12)),flip(a)]. given #2939 (T,wt=21): 65700 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(z,y),f(u,v)))))))) = c_0. [para(36796(a,1),38026(a,2)),rewrite(28082(8),14500(24,R),28082(19),14874(19),28082(17),36952(20),38419(20),36952(11))]. given #2940 (T,wt=21): 65746 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(f(x,y),f(u,v)))))))) = c_0. [para(37399(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(4)),flip(a)]. given #2941 (A,wt=23): 29979 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(x,u))))) = f(z,f(c_0,f(x,u))). [para(29367(a,1),29544(a,1,1)),rewrite(29367(11),28082(6),14500(6),28082(7))]. given #2942 (F,wt=21): 65749 f(x,f(c_0,f(y,f(x,f(f(x,f(z,f(y,y))),f(u,v)))))) = c_0. [para(28174(a,1),37399(a,1,2,2)),rewrite(28082(4))]. given #2943 (F,wt=21): 65753 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(x,y),f(u,v)))))) = c_0. [para(36585(a,1),37399(a,1,2,2)),rewrite(28082(2),28082(7),28082(9))]. given #2944 (T,wt=21): 65754 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(f(x,y),f(u,v)))))))) = c_0. [para(37399(a,1),36586(a,2)),rewrite(28082(9))]. given #2945 (T,wt=21): 65757 f(x,f(c_0,f(f(y,y),f(x,f(f(x,f(y,z)),f(u,v)))))) = c_0. [para(29525(a,1),37399(a,1,2,2)),rewrite(28082(4))]. given #2946 (A,wt=27): 29982 f(f(f(x,y),f(y,z)),f(f(y,z),f(u,f(y,f(f(x,y),f(y,z)))))) = f(y,z). [para(19297(a,1),29544(a,1,2,2,2))]. given #2947 (F,wt=21): 65763 f(x,f(c_0,f(f(c_0,f(y,z)),f(y,f(f(x,y),f(u,v)))))) = c_0. [para(36585(a,1),37400(a,1,2,2)),rewrite(28082(2),28082(7),28082(9))]. given #2948 (F,wt=21): 65791 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(f(x,y),f(u,v)))))))) = c_0. [para(37427(a,1),12782(a,1,2,2)),rewrite(14500(2),14371(2),28082(4)),flip(a)]. given #2949 (T,wt=21): 65793 f(x,f(c_0,f(y,f(y,f(f(x,f(z,f(y,y))),f(u,v)))))) = c_0. [para(28174(a,1),37427(a,1,2,2)),rewrite(28082(4))]. given #2950 (T,wt=21): 65797 f(x,f(c_0,f(f(c_0,f(y,z)),f(y,f(f(x,z),f(u,v)))))) = c_0. [para(36585(a,1),37427(a,1,2,2)),rewrite(28082(2),28082(9))]. given #2951 (A,wt=27): 29984 f(f(x,x),f(f(x,y),f(z,f(c_0,f(u,f(x,x)))))) = f(z,f(c_0,f(u,f(x,x)))). [para(29368(a,1),29544(a,1,1)),rewrite(29368(13),14553(9),28082(7),28082(8))]. given #2952 (F,wt=21): 65798 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(f(x,z),f(u,v)))))))) = c_0. [para(36586(a,2),37427(a,1,2,2)),rewrite(28082(3),28082(7))]. given #2953 (F,wt=21): 65807 f(x,f(c_0,f(y,f(f(z,f(y,y)),f(f(x,y),f(u,v)))))) = c_0. [para(61828(a,1),37427(a,1,2,2)),rewrite(28082(4))]. given #2954 (T,wt=21): 65820 f(f(x,f(y,f(c_0,f(z,x)))),f(x,f(f(y,z),f(u,v)))) = x. [para(37896(a,1),28670(a,1,2,2)),rewrite(28082(5),31166(14),28082(9),16188(10),28082(2)),flip(a)]. given #2955 (T,wt=21): 65845 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,f(f(u,v),f(x,x)))) = c_0. [para(37905(a,2),42327(a,1,1,2)),rewrite(28082(3),56081(7),14500(8,R),28082(8),14553(8),28082(11))]. given #2956 (A,wt=27): 29985 f(x,f(f(y,f(x,x)),f(z,f(f(x,u),f(x,v))))) = f(z,f(f(x,u),f(x,v))). [para(29375(a,1),29544(a,1,1)),rewrite(29375(11),28082(6),14500(6),28082(7))]. given #2957 (F,wt=21): 65846 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(u,v),f(y,y)))) = x. [para(37905(a,2),43279(a,1,1,2)),rewrite(28082(3),56081(7),14500(7,R),28082(7),14553(7),28082(10))]. given #2958 (F,wt=21): 65848 f(x,f(c_0,f(y,f(x,f(z,f(y,f(f(x,y),f(u,u)))))))) = c_0. [para(37905(a,2),44202(a,1,2,2,2,2,2,2)),rewrite(28082(4),56081(8))]. given #2959 (T,wt=21): 65855 f(f(x,y),f(z,f(x,f(c_0,f(z,y))))) = f(f(x,y),f(z,z)). [para(37905(a,1),28670(a,2)),rewrite(28670(26),28082(10))]. given #2960 (T,wt=21): 65863 f(x,f(c_0,f(y,f(x,f(f(x,f(z,f(x,y))),f(u,u)))))) = c_0. [para(37905(a,2),55454(a,1,2,2,2,2)),rewrite(28082(2),28082(6),65855(12))]. given #2961 (A,wt=31): 29989 f(f(x,f(y,f(x,z))),f(f(x,z),f(u,f(x,f(y,f(x,z)))))) = f(u,f(x,f(y,f(x,z)))). [para(19132(a,1),29564(a,1,2,2,2)),rewrite(28082(7),28082(12),14874(12),28082(9),28082(14))]. given #2962 (F,wt=21): 65868 f(f(x,x),f(f(y,x),f(f(y,f(x,x)),f(c_0,f(y,z))))) = c_0. [para(37905(a,2),57455(a,1)),rewrite(14500(3,R),28082(3),14553(3),28082(3),14500(11,R),28082(11),14553(11),28082(12),65855(21),28082(10))]. given #2963 (F,wt=21): 65887 f(f(x,y),f(z,z)) = f(f(z,z),f(x,f(f(x,y),f(u,z)))). [para(37905(a,2),61716(a,1)),rewrite(14500(4,R),28082(4),14553(4),14500(9,R),28082(9),14553(9),65855(13),28082(6),28082(9)),flip(a)]. given #2964 (T,wt=21): 65888 f(f(x,x),f(c_0,f(f(y,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(37905(a,2),61828(a,1)),rewrite(14500(4,R),28082(4),14553(4),14500(10,R),28082(10),14553(10),14874(13),28082(11),30440(11))]. given #2965 (T,wt=21): 65890 f(f(x,y),f(c_0,f(z,f(x,f(c_0,f(z,y)))))) = f(z,f(x,y)). [para(37905(a,1),62184(a,1,2,2,2)),rewrite(14500(11,R),28082(7),28082(9),47427(16),63242(14),38119(9),14500(14,R),28082(10)),flip(a)]. given #2966 (A,wt=31): 29993 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(c_0,f(x,f(y,y)))))) = f(u,f(c_0,f(x,f(y,y)))). [para(20246(a,1),29564(a,1,2,2,2)),rewrite(28082(9),28082(14),14874(14),28082(11),28082(17))]. given #2967 (F,wt=21): 66023 f(x,f(f(y,z),f(y,f(u,f(c_0,f(v,f(x,y))))))) = f(x,y). [para(28180(a,1),65924(a,1,2,2,2)),rewrite(28082(4))]. given #2968 (F,wt=21): 66031 f(f(x,y),f(x,f(f(x,f(z,f(z,f(x,y)))),f(u,v)))) = x. [para(65924(a,1),61561(a,1,2)),rewrite(28082(5),28424(6),28082(5)),flip(a)]. given #2969 (T,wt=21): 66039 f(x,f(f(y,z),f(z,f(u,f(c_0,f(v,f(x,z))))))) = f(x,z). [para(28180(a,1),65944(a,1,2,2,2)),rewrite(28082(4))]. given #2970 (T,wt=21): 66041 f(f(x,y),f(y,f(f(y,f(z,f(z,f(x,y)))),f(u,v)))) = y. [para(65944(a,1),61561(a,1,2)),rewrite(28082(5),28425(6),28082(5)),flip(a)]. given #2971 (A,wt=27): 29995 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(c_0,f(x,y))))) = f(u,f(c_0,f(x,y))). [para(20253(a,1),29564(a,1,2,2,2)),rewrite(28082(7),28082(13),14874(13),28082(10),28082(15))]. given #2972 (F,wt=21): 66052 f(f(c_0,f(x,y)),f(z,f(y,f(f(x,x),f(u,v))))) = f(x,y). [para(38026(a,1),37912(a,1,1,2)),rewrite(28082(10),14874(12),38026(16))]. given #2973 (F,wt=21): 66059 f(f(c_0,f(x,y)),f(z,f(y,f(f(x,y),f(u,v))))) = f(x,y). [para(53165(a,1),37912(a,2)),rewrite(28082(3),53302(8),28082(6),28082(10),14874(12),28082(10))]. given #2974 (T,wt=21): 66098 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(z,x)))) = f(u,f(z,x)). [para(28082(a,1),38119(a,1,1)),rewrite(28082(4),28082(6),28082(10))]. given #2975 (T,wt=19): 70023 f(f(x,x),f(f(c_0,f(y,x)),f(f(z,u),f(v,w)))) = x. [para(30828(a,1),66098(a,1,2,2)),rewrite(28082(7),28082(9),14500(9),28082(9),30828(19))]. given #2976 (A,wt=27): 29996 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(c_0,f(x,y))))) = f(u,f(c_0,f(x,y))). [para(20304(a,1),29564(a,1,2,2,2)),rewrite(28082(7),28082(13),14874(13),28082(10),28082(15))]. given #2977 (F,wt=21): 66106 f(f(c_0,f(x,f(y,z))),f(y,f(c_0,f(u,z)))) = f(x,f(y,z)). [para(38119(a,1),38025(a,2)),rewrite(28082(9),38129(13),28082(9))]. given #2978 (F,wt=21): 66123 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(f(z,x),f(u,v)))))))) = c_0. [para(38157(a,1),38026(a,2)),rewrite(14500(24,R),28082(19),14874(19),28082(17),36952(20),38419(20),36952(11))]. given #2979 (T,wt=21): 66157 f(f(c_0,f(x,f(c_0,f(y,z)))),f(x,f(f(y,x),f(u,v)))) = c_0. [para(38161(a,2),32193(a,1,1,2)),rewrite(28082(9),14500(9),14553(9),28082(7),36952(10),38419(10))]. given #2980 (T,wt=21): 66158 f(x,f(c_0,f(f(c_0,f(y,z)),f(x,f(f(x,z),f(u,v)))))) = c_0. [para(38161(a,2),37399(a,1,2,2)),rewrite(28082(3),28082(10),28082(17),14500(17),14553(17),28082(15),36952(18),38419(18),28082(9))]. given #2981 (A,wt=23): 29997 f(f(x,x),f(f(y,f(x,x)),f(z,f(c_0,f(x,u))))) = f(y,f(x,x)). [para(20327(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(11),14874(11),28082(11))]. given #2982 (F,wt=21): 66159 f(x,f(c_0,f(f(c_0,f(y,z)),f(z,f(f(x,z),f(u,v)))))) = c_0. [para(38161(a,2),37400(a,1,2,2)),rewrite(28082(3),28082(10),28082(17),14500(17),14553(17),28082(15),36952(18),38419(18),28082(9))]. given #2983 (F,wt=21): 66160 f(x,f(c_0,f(f(c_0,f(y,z)),f(z,f(f(x,x),f(u,v)))))) = c_0. [para(38161(a,2),37403(a,1,2,2)),rewrite(28082(17),14500(17),14553(17),28082(15),36952(18),38419(18),28082(9))]. given #2984 (T,wt=21): 66184 f(f(x,f(y,x)),f(x,f(f(y,f(z,f(x,x))),f(u,v)))) = x. [para(38347(a,1),28670(a,1,2,2)),rewrite(28082(6),31166(15),28082(13),16188(14),28082(1)),flip(a)]. given #2985 (T,wt=21): 66195 f(f(c_0,f(x,y)),f(f(z,u),f(y,f(v,f(x,x))))) = f(x,y). [para(28082(a,1),38366(a,1,2))]. given #2986 (A,wt=27): 30000 f(f(c_0,f(x,y)),f(f(z,f(x,z)),f(u,f(c_0,f(x,y))))) = f(u,f(c_0,f(x,y))). [para(20922(a,1),29564(a,1,2,2,2)),rewrite(28082(7),28082(13),14874(13),28082(10),28082(15))]. given #2987 (F,wt=21): 66211 f(f(x,f(y,f(z,x))),f(c_0,f(z,f(f(u,x),f(x,v))))) = c_0. [para(29683(a,1),38899(a,1,2,1)),rewrite(14500(12,R),28082(8),14874(8),29683(14),28082(10))]. given #2988 (F,wt=21): 66218 f(f(x,x),f(c_0,f(y,f(c_0,f(f(y,f(z,x)),f(u,v)))))) = c_0. [para(38965(a,1),40624(a,1,2)),rewrite(28082(5),28082(12),28082(15),14874(15))]. given #2989 (T,wt=21): 66225 f(x,f(f(x,y),f(z,f(c_0,f(f(z,x),f(u,v)))))) = f(x,y). [para(38971(a,1),28670(a,1,2,2)),rewrite(28082(2),28082(9),28082(19),28082(26),28082(27),32096(27),14500(3,R),28082(3),53309(20),28082(4)),flip(a)]. given #2990 (T,wt=21): 66236 f(x,f(c_0,f(f(y,y),f(c_0,f(f(x,f(z,y)),f(u,v)))))) = c_0. [para(38976(a,1),37923(a,1)),rewrite(14500(6,R),28082(6),14553(6),28082(10)),flip(a)]. given #2991 (A,wt=27): 30003 f(f(c_0,f(x,y)),f(f(z,f(y,z)),f(u,f(c_0,f(x,y))))) = f(u,f(c_0,f(x,y))). [para(21213(a,1),29564(a,1,2,2,2)),rewrite(28082(7),28082(13),14874(13),28082(10),28082(15))]. given #2992 (F,wt=21): 66239 f(f(c_0,f(x,f(x,f(y,z)))),f(z,f(f(y,y),f(u,v)))) = c_0. [para(28082(a,1),39129(a,1,1,2,2,2))]. given #2993 (F,wt=19): 70109 f(f(x,y),f(c_0,f(z,f(z,f(y,f(c_0,f(u,x))))))) = c_0. [para(29528(a,1),66239(a,1,2,2)),rewrite(28082(5),28082(9),28082(10))]. given #2994 (T,wt=21): 66240 f(f(c_0,f(x,f(x,f(y,z)))),f(z,f(f(y,z),f(u,v)))) = c_0. [para(29162(a,1),39129(a,1,1,2,2,2)),rewrite(14500(12,R),28082(10),14874(10))]. given #2995 (T,wt=21): 66316 f(f(x,y),f(x,f(z,f(f(x,y),f(f(x,x),f(u,v)))))) = x. [para(12782(a,1),39148(a,1,1))]. given #2996 (A,wt=23): 30004 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(f(x,z),f(u,f(x,u)))))))) = c_0. [para(29564(a,1),21214(a,1,2,2,2,2,2)),rewrite(28082(8))]. given #2997 (F,wt=21): 66319 f(f(x,y),f(y,f(z,f(f(x,y),f(f(y,y),f(u,v)))))) = y. [para(29297(a,1),39148(a,1,1))]. given #2998 (F,wt=21): 66334 f(f(x,f(y,x)),f(x,f(z,f(y,f(f(x,x),f(u,v)))))) = x. [para(39148(a,1),28670(a,1,2,2)),rewrite(28082(6),31166(15),28082(13),16188(14),28082(1)),flip(a)]. given #2999 (T,wt=21): 66336 f(x,f(c_0,f(y,f(z,f(x,f(f(y,y),f(u,v))))))) = f(y,x). [para(39148(a,1),62184(a,1,2,2,2)),rewrite(14500(13,R),28082(8),28082(11),28082(14),12782(14),28082(13),36708(14),28082(9),66052(9),14500(16,R),28082(11),52692(12)),flip(a)]. given #3000 (T,wt=21): 66337 f(x,f(f(x,f(y,x)),f(y,f(f(x,x),f(z,u))))) = f(x,x). [para(39148(a,1),32247(a,1,2)),rewrite(28082(5),28082(7),28082(8),28082(10),14500(20,R),28082(17),38026(18),28082(12),28082(13),17394(13),28082(10),14500(10))]. Low Water (keep): wt=25, part=0.50, limit=25 given #3001 (A,wt=25): 30006 f(f(x,x),f(f(y,f(x,x)),f(z,f(f(x,u),f(x,v))))) = f(y,f(x,x)). [para(20446(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(11),14874(11),28082(11))]. given #3002 (F,wt=21): 66340 f(f(c_0,f(x,y)),f(y,f(z,f(x,f(f(y,y),f(u,v)))))) = c_0. [para(28082(a,1),39149(a,1,1,2))]. given #3003 (F,wt=21): 66343 f(x,f(c_0,f(y,f(f(z,f(y,x)),f(f(y,y),f(u,v)))))) = c_0. [para(27606(a,1),39199(a,1,2,2,1)),rewrite(52692(12))]. given #3004 (T,wt=21): 66368 f(f(x,y),f(f(y,f(c_0,f(x,z))),f(u,f(c_0,f(x,y))))) = c_0. [para(31201(a,1),29505(a,1,2,2,2,2)),rewrite(14500(7,R),28082(7),32229(9),28082(7),29644(7),14500(4,R),28082(4))]. given #3005 (T,wt=21): 66369 f(f(x,y),f(f(y,f(c_0,f(z,x))),f(u,f(c_0,f(x,y))))) = c_0. [para(31258(a,1),29505(a,1,2,2,2,2)),rewrite(14500(7,R),28082(7),61572(9),28082(7),29644(7),14500(4,R),28082(4))]. given #3006 (A,wt=27): 30015 f(f(x,y),f(f(z,f(x,y)),f(x,f(x,f(u,f(x,f(x,y))))))) = f(z,f(x,y)). [para(27673(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(8),28082(12))]. given #3007 (F,wt=21): 66430 f(x,f(c_0,f(y,f(y,f(z,f(y,f(f(x,y),f(u,v)))))))) = c_0. [para(42163(a,1),63320(a,1,2,2,2,2,2)),rewrite(28082(12),14530(13),36952(13),28180(13))]. given #3008 (F,wt=21): 66443 f(f(f(x,y),f(x,z)),f(c_0,f(f(x,u),f(c_0,f(v,u))))) = c_0. [para(42920(a,1),55685(a,1,2,2,2,2,2)),rewrite(28082(5),28082(9),52692(11))]. given #3009 (T,wt=21): 66448 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,u),f(c_0,f(v,u))))) = c_0. [para(42923(a,1),55685(a,1,2,2,2,2,2)),rewrite(28082(5),28082(9),52692(11))]. given #3010 (T,wt=21): 66460 f(x,f(c_0,f(f(y,x),f(c_0,f(z,f(f(u,y),f(y,v))))))) = c_0. [para(43715(a,1),29343(a,1,2,2)),rewrite(28082(10),8394(10),28082(3)),flip(a)]. given #3011 (A,wt=27): 30016 f(f(x,y),f(f(z,f(x,y)),f(y,f(y,f(u,f(y,f(x,y))))))) = f(z,f(x,y)). [para(27747(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(8),28082(12))]. given #3012 (F,wt=21): 66465 f(x,f(f(y,x),f(z,f(x,f(u,f(x,f(y,x))))))) = f(y,x). [para(22(a,1),43991(a,1,2,2,2,1)),rewrite(22(3),22(5),28082(3))]. given #3013 (F,wt=21): 66468 f(x,f(f(x,y),f(f(x,y),f(z,f(x,f(x,y)))))) = f(x,x). [para(43991(a,1),29204(a,1,2)),flip(a)]. given #3014 (T,wt=21): 66479 f(x,f(x,f(f(y,y),f(f(x,y),f(z,f(x,f(x,y))))))) = c_0. [para(43991(a,1),56945(a,1,2)),rewrite(28082(7),28082(9))]. given #3015 (T,wt=21): 66482 f(f(x,y),f(x,f(x,f(z,f(x,f(x,y)))))) = f(c_0,f(x,y)). [para(43991(a,1),61939(a,1,2,2)),rewrite(28082(5),28082(6),14500(10,R),28082(10))]. given #3016 (A,wt=31): 30022 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(u,f(c_0,f(x,f(x,y)))))) = f(u,f(c_0,f(x,f(x,y)))). [para(28135(a,1),29564(a,1,2,2,2)),rewrite(28082(9),28082(14),14874(14),28082(11),28082(17))]. given #3017 (F,wt=21): 66492 f(x,f(f(y,x),f(f(y,x),f(z,f(x,f(y,x)))))) = f(x,x). [para(44000(a,1),28083(a,1,2)),rewrite(28082(8),44000(19),28082(10),14500(10))]. given #3018 (F,wt=21): 66499 f(f(x,y),f(y,f(y,f(z,f(y,f(x,y)))))) = f(c_0,f(x,y)). [para(44000(a,1),61939(a,1,2,2)),rewrite(28082(5),28082(6),14500(10,R),28082(10))]. given #3019 (T,wt=21): 66507 f(x,f(c_0,f(f(x,f(x,y)),f(f(y,y),f(z,u))))) = f(x,y). [para(33001(a,1),44373(a,1,2,2,2))]. given #3020 (T,wt=21): 66514 f(f(c_0,f(x,f(y,y))),f(f(z,f(x,f(y,u))),f(y,v))) = c_0. [para(44526(a,1),30133(a,1,2,2)),rewrite(28082(4),28082(10))]. given #3021 (A,wt=23): 30023 f(f(x,x),f(f(y,f(x,x)),f(z,f(z,f(x,u))))) = f(y,f(x,x)). [para(28141(a,1),29564(a,1,2,2,2)),rewrite(28082(3),28082(10),14874(10),28082(10))]. given #3022 (F,wt=21): 66551 f(x,f(c_0,f(y,f(z,f(c_0,f(f(y,x),f(u,v))))))) = f(y,x). [para(45126(a,1),62184(a,1,2,2,2)),rewrite(14500(15,R),28082(9),28082(12),28082(15),12782(15),28082(14),36708(15),28082(10),30820(10),14500(18,R),28082(12),52692(13)),flip(a)]. given #3023 (F,wt=21): 66557 f(x,f(y,f(c_0,f(f(x,f(x,f(y,y))),f(z,u))))) = f(x,x). [para(45131(a,1),29723(a,1,2)),flip(a)]. given #3024 (T,wt=21): 66581 f(f(x,f(y,x)),f(x,f(z,f(c_0,f(f(y,x),f(u,v)))))) = x. [para(30967(a,1),45132(a,1,2,2,2,2,1)),rewrite(22(4),28082(2),22(5),22(13))]. given #3025 (T,wt=21): 66589 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(f(u,x),f(x,z)))) = x. [para(30968(a,1),45143(a,1,2,2,2,2)),rewrite(28082(4),28082(10))]. given #3026 (A,wt=23): 30026 f(f(c_0,f(x,f(c_0,f(y,f(y,z))))),f(f(y,z),f(u,f(y,u)))) = c_0. [para(29564(a,1),28154(a,1,2,2,2,2,2)),rewrite(28082(12))]. given #3027 (F,wt=21): 66591 f(f(c_0,f(x,y)),f(z,f(x,f(f(x,u),f(x,y))))) = f(x,y). [para(19010(a,1),45145(a,1,1,2)),rewrite(14500(10,R),28082(10),14874(11),28082(9),14500(13,R),28082(13),14874(14))]. given #3028 (F,wt=21): 66610 f(f(x,y),f(c_0,f(x,f(x,f(c_0,f(z,y)))))) = f(x,f(x,y)). [para(56016(a,1),45145(a,1,1)),rewrite(14500(11,R),28082(10),14874(11),28082(9),57306(9),14500(15,R),28082(14),14874(15))]. given #3029 (T,wt=21): 66628 f(f(x,f(y,f(x,f(z,x)))),f(x,f(f(z,x),f(u,v)))) = x. [para(17394(a,1),45795(a,1,2,1)),rewrite(17394(4),28082(3),17394(13))]. given #3030 (T,wt=21): 66713 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(f(x,y),f(u,v)))))) = c_0. [para(4747