============================== Prover9 =============================== Prover9 (32) version 2009-11A, November 2009. Process 6693 was started by mccune on cleo, Tue Nov 3 10:23:08 2009 The command was "/home/mccune/LADR/bin/prover9 -f MOL-M.in MOL-M-interp.outx". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file MOL-M.in assign(max_seconds,3600). assign(max_weight,60). assign(new_constants,1). set(lex_order_vars). set(restrict_denials). 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(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # answer(MOD_SS). end_of_list. % Reading from file MOL-M-interp.outx list(interpretations). interpretation(10,[number = 1,seconds = 0],[function(f(_,_),[1,1,1,1,1,1,1,1,1,1,1,0,5,9,6,2,4,8,7,3,1,5,5,1,6,1,7,6,7,1,1,9,1,9,1,1,1,1,1,1,1,6,6,1,6,1,1,6,1,1,1,2,1,1,1,2,2,2,1,1,1,4,7,1,1,2,4,2,7,1,1,8,6,1,6,2,2,8,1,1,1,7,7,1,1,1,7,1,7,1,1,3,1,1,1,1,1,1,1,3])]). end_of_list. ============================== end of input ========================== ============================== PROCESS NON-CLAUSAL FORMULAS ========== % Formulas that are not ordinary clauses: 1 f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # answer(MOD_SS) # label(non_clause) # 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(c3,f(c1,f(c2,c2)))) != f(c1,f(c2,f(c1,f(c3,c3)))) # answer(MOD_SS). [deny(1)]. end_of_list. formulas(demodulators). end_of_list. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: (no changes). Term ordering decisions: Predicate symbol precedence: predicate_order([ = ]). Function symbol precedence: function_order([ c1, c2, c3, f ]). After inverse_order: (no changes). Unfolding symbols: (none). Auto_inference settings: % set(paramodulation). % (positive equality literals) Auto_process settings: (no changes). kept: 2 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]. kept: 3 f(c1,f(c3,f(c1,f(c2,c2)))) != f(c1,f(c2,f(c1,f(c3,c3)))) # answer(MOD_SS). [deny(1)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 3 f(c1,f(c3,f(c1,f(c2,c2)))) != f(c1,f(c2,f(c1,f(c3,c3)))) # answer(MOD_SS). [deny(1)]. end_of_list. formulas(sos). 2 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). 2 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 0.01 seconds. given #1 (I,wt=25): 2 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 (A,wt=57): 4 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,w)))) = y. [para(2(a,1),2(a,1,2,1))]. given #3 (T,wt=9): 11 f(f(x,y),f(y,y)) = y. [para(4(a,1),4(a,1,2,2))]. given #4 (T,wt=11): 20 f(f(x,f(y,y)),y) = f(y,y). [para(11(a,1),11(a,1,2))]. given #5 (T,wt=13): 8 f(f(x,y),f(f(f(y,y),z),y)) = y. [para(4(a,1),2(a,1,2,2))]. given #6 (T,wt=11): 32 f(f(f(x,x),y),x) = f(x,x). [para(8(a,1),11(a,1,1)),rewrite([8(7)]),flip(a)]. given #7 (A,wt=53): 5 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)),w),f(f(f(f(x,w),w),f(z,x)),f(f(z,x),v5)))) = f(z,x). [para(2(a,1),2(a,1,2,2,1,1,1,1))]. given #8 (T,wt=9): 40 f(f(x,y),f(x,x)) = x. [para(11(a,1),32(a,1,1,1)),rewrite([11(6)])]. given #9 (T,wt=13): 55 f(x,f(f(y,x),f(y,x))) = f(y,x). [para(2(a,1),40(a,1,1))]. given #10 (T,wt=13): 61 f(x,f(f(x,y),f(x,y))) = f(x,y). [para(40(a,1),40(a,1,1))]. given #11 (T,wt=15): 22 f(f(x,y),f(y,f(f(y,y),f(y,z)))) = y. [back_rewrite(14),rewrite([20(7)])]. given #12 (A,wt=57): 6 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,w)))) = y. [para(2(a,1),2(a,1,2,2,1,1,1))]. given #13 (T,wt=15): 85 f(f(x,y),f(y,f(f(y,y),f(z,y)))) = y. [para(55(a,1),22(a,1,2,2,2))]. given #14 (T,wt=17): 81 f(x,f(f(x,x),f(x,f(f(x,x),y)))) = f(x,x). [para(11(a,1),22(a,1,1)),rewrite([40(4)])]. given #15 (T,wt=17): 102 f(x,f(f(x,x),f(x,f(y,f(x,x))))) = f(x,x). [para(11(a,1),85(a,1,1)),rewrite([40(4)])]. given #16 (T,wt=21): 17 f(f(x,f(y,y)),f(f(y,y),f(y,f(f(y,y),z)))) = f(y,y). [para(11(a,1),2(a,1,2,2,1)),rewrite([11(5)])]. given #17 (A,wt=35): 7 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(2(a,1),2(a,1,2,2,2))]. given #18 (F,wt=33): 127 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) # label(false). [para(11(a,1),7(a,1,2,2,1,1,1,1))]. given #19 (F,wt=45): 130 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)) # label(false). [para(20(a,1),7(a,1,2,2,1,1,1,1))]. given #20 (T,wt=21): 37 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))) = x. [para(32(a,1),2(a,1,2,2,1,1))]. given #21 (T,wt=21): 82 f(f(x,f(f(x,x),f(x,y))),f(x,f(f(x,x),f(x,y)))) = x. [para(22(a,1),32(a,1)),flip(a)]. given #22 (T,wt=13): 182 f(x,f(f(x,x),f(x,y))) = f(x,x). [para(82(a,1),11(a,1,1)),rewrite([82(9)]),flip(a)]. given #23 (T,wt=13): 193 f(f(x,x),f(x,f(f(x,x),y))) = x. [para(11(a,1),182(a,1,2,1)),rewrite([40(8)])]. given #24 (A,wt=35): 9 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(2(a,1),4(a,1,2,2,1,1,1))]. given #25 (T,wt=13): 196 f(x,f(f(x,x),f(y,x))) = f(x,x). [para(55(a,1),182(a,1,2,2))]. given #26 (T,wt=13): 205 f(f(x,x),f(x,f(y,f(x,x)))) = x. [para(55(a,1),193(a,1,2,2))]. given #27 (T,wt=19): 234 f(f(f(f(x,x),x),f(f(x,x),x)),x) = f(f(x,x),x). [para(127(a,1),205(a,1,2,2)),rewrite([165(13),32(14),40(11)]),flip(a)]. given #28 (T,wt=21): 174 f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(x,x)) = x. [para(37(a,1),55(a,1,2,1)),rewrite([37(16),37(18)])]. given #29 (A,wt=31): 12 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(11(a,1),2(a,1,1)),rewrite([11(3)])]. given #30 (T,wt=21): 175 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))) = x. [para(55(a,1),37(a,1,2,2,2))]. given #31 (T,wt=21): 192 f(f(x,y),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(2(a,1),182(a,1,2,2))]. given #32 (T,wt=21): 195 f(f(x,y),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(40(a,1),182(a,1,2,2))]. given #33 (T,wt=21): 235 f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(130(a,1),205(a,1,2,2)),rewrite([40(3),40(5),40(10),40(12),169(15),40(8),40(10),40(15),32(15),40(11),40(5),40(7)]),flip(a)]. given #34 (A,wt=33): 13 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(11(a,1),2(a,1,2,1,1))]. given #35 (T,wt=21): 246 f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(x,x)) = x. [para(55(a,1),174(a,1,1,2,2))]. given #36 (T,wt=23): 171 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y)))) = f(x,x). [para(11(a,1),37(a,1,1)),rewrite([40(3),40(5)])]. given #37 (T,wt=23): 203 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(x,z)))) = x. [para(193(a,1),2(a,1,2,2,1,1,1)),rewrite([193(6)])]. given #38 (T,wt=23): 231 f(f(x,x),f(x,f(f(f(x,f(x,f(y,f(x,x)))),x),f(x,z)))) = x. [para(205(a,1),2(a,1,2,2,1,1,1)),rewrite([205(6)])]. given #39 (A,wt=37): 15 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(11(a,1),2(a,1,2,2,1,1,1,1))]. given #40 (T,wt=23): 243 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y))),x) = f(x,x). [para(11(a,1),174(a,1,1,1,1)),rewrite([40(5),40(11)])]. given #41 (T,wt=23): 270 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x))))) = f(x,x). [para(11(a,1),175(a,1,1)),rewrite([40(3),40(5)])]. given #42 (T,wt=23): 302 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),x) = f(x,x). [para(11(a,1),246(a,1,1,1,1)),rewrite([40(5),40(11)])]. given #43 (T,wt=23): 308 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(55(a,1),203(a,1,2,2,2))]. given #44 (A,wt=25): 16 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(11(a,1),2(a,1,2,2,1,1,1))]. given #45 (T,wt=17): 344 f(f(x,x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(55(a,1),308(a,1,2))]. given #46 (T,wt=17): 369 f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),x)) = x. [para(55(a,1),344(a,1,2,1,2,2))]. given #47 (T,wt=19): 364 f(x,f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(246(a,1),16(a,1,2,2,1)),rewrite([11(4),40(3),55(6)])]. given #48 (T,wt=19): 365 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(x,y)))) = x. [para(302(a,1),16(a,1,2,2,1)),rewrite([20(3),55(8)])]. given #49 (A,wt=29): 23 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(20(a,1),2(a,1,1))]. given #50 (T,wt=19): 387 f(f(f(f(x,x),x),f(x,f(f(x,x),y))),x) = f(x,x). [para(364(a,1),55(a,1,2,1)),rewrite([364(14),40(9),364(14)])]. given #51 (T,wt=19): 388 f(x,f(f(f(x,x),x),f(x,f(y,f(x,x))))) = f(x,x). [para(55(a,1),364(a,1,2,2,2))]. given #52 (T,wt=19): 401 f(f(f(x,f(x,x)),f(f(x,x),f(x,y))),f(x,x)) = x. [para(365(a,1),55(a,1,2,1)),rewrite([365(14),365(16)])]. given #53 (T,wt=19): 402 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(y,x)))) = x. [para(55(a,1),365(a,1,2,2,2))]. given #54 (A,wt=49): 24 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(20(a,1),2(a,1,2,2,1,1,1,1))]. given #55 (T,wt=19): 414 f(f(f(f(x,x),x),f(x,f(y,f(x,x)))),x) = f(x,x). [para(55(a,1),387(a,1,1,2,2))]. given #56 (T,wt=19): 427 f(f(f(x,f(x,x)),f(f(x,x),f(y,x))),f(x,x)) = x. [para(55(a,1),401(a,1,1,2,2))]. given #57 (T,wt=21): 351 f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(x,y)))) = x. [para(32(a,1),16(a,1,2,2,1)),rewrite([40(6)])]. given #58 (T,wt=19): 442 f(f(f(f(x,x),x),f(f(x,x),f(x,y))),f(x,x)) = x. [para(351(a,1),55(a,1,2,1)),rewrite([351(15),351(17)])]. given #59 (A,wt=25): 25 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(20(a,1),2(a,1,2,2,1,1,1))]. given #60 (T,wt=19): 451 f(f(f(x,f(x,x)),f(x,f(f(x,x),y))),x) = f(x,x). [para(11(a,1),442(a,1,1,1,1)),rewrite([40(5),40(9)])]. given #61 (T,wt=19): 454 f(f(f(f(x,x),x),f(f(x,x),f(y,x))),f(x,x)) = x. [para(55(a,1),442(a,1,1,2,2))]. given #62 (T,wt=19): 471 f(f(f(x,f(x,x)),f(x,f(y,f(x,x)))),x) = f(x,x). [para(55(a,1),451(a,1,1,2,2))]. given #63 (T,wt=21): 368 f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,x))) = f(x,x). [para(11(a,1),344(a,1,1)),rewrite([40(5)])]. given #64 (A,wt=29): 35 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(32(a,1),2(a,1,1))]. given #65 (T,wt=21): 377 f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,x))) = f(x,x). [para(11(a,1),369(a,1,1)),rewrite([40(5)])]. given #66 (T,wt=21): 443 f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(y,x)))) = x. [para(55(a,1),351(a,1,2,2,2))]. given #67 (T,wt=21): 473 f(f(x,x),f(x,f(f(x,f(x,x)),f(x,f(f(x,x),y))))) = x. [para(451(a,1),195(a,1,1)),rewrite([451(8),451(9),40(4),451(16),451(17),40(12)])]. given #68 (T,wt=21): 483 f(f(x,x),f(x,f(f(x,f(x,x)),f(x,f(y,f(x,x)))))) = x. [para(471(a,1),195(a,1,1)),rewrite([471(8),471(9),40(4),471(16),471(17),40(12)])]. given #69 (A,wt=49): 36 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(32(a,1),2(a,1,2,2,1,1,1,1))]. given #70 (F,wt=45): 529 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(x,x)))) = f(f(x,x),y) # label(false). [para(32(a,1),36(a,1,2,2,2))]. given #71 (F,wt=27): 546 f(x,f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(535),rewrite([543(3)])]. given #72 (F,wt=25): 579 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))) = y # label(false). [para(2(a,1),546(a,1,2,1,1,1)),rewrite([2(12),2(17),2(22)])]. given #73 (F,wt=25): 587 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))) = x # label(false). [para(40(a,1),546(a,1,2,1,1,1)),rewrite([40(4),40(9),40(14)])]. given #74 (T,wt=9): 543 f(f(x,x),f(x,y)) = x. [para(387(a,1),529(a,1,2,2)),rewrite([40(4),182(4),40(5),40(8),40(13),20(11),40(3),40(4)]),flip(a)]. given #75 (T,wt=9): 544 f(f(x,x),f(y,x)) = x. [para(414(a,1),529(a,1,2,2)),rewrite([543(4),196(4),543(5),543(8),543(13),20(11),543(3),543(4)]),flip(a)]. given #76 (T,wt=11): 604 f(x,f(f(x,x),y)) = f(x,x). [para(387(a,1),546(a,1,2,2)),rewrite([11(10)]),flip(a)]. given #77 (T,wt=11): 607 f(x,f(y,f(x,x))) = f(x,x). [para(414(a,1),546(a,1,2,2)),rewrite([11(10)]),flip(a)]. given #78 (A,wt=49): 39 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(32(a,1),4(a,1,2,2,1,1,1,2,2,1,1)),rewrite([32(15)])]. given #79 (F,wt=27): 576 f(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) # label(false). [back_rewrite(127),rewrite([544(3)])]. given #80 (F,wt=33): 582 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(x,f(y,y)),z),z),f(y,y)),f(x,f(y,y))))) = f(y,y) # label(false). [para(20(a,1),546(a,1,2,1,1,1)),rewrite([20(6),543(5),20(10),20(17)])]. given #81 (F,wt=57): 635 f(f(x,y),f(f(f(y,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))) = y # label(false). [para(579(a,1),579(a,1,2,2,1,1,1))]. given #82 (F,wt=57): 655 f(f(x,y),f(f(f(x,x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))) = x # label(false). [para(587(a,1),587(a,1,2,2,1,1,1))]. given #83 (T,wt=13): 657 f(f(f(x,y),f(x,y)),y) = f(x,y). [para(2(a,1),543(a,1,2))]. given #84 (T,wt=13): 662 f(f(f(x,y),f(x,y)),x) = f(x,y). [para(40(a,1),543(a,1,2))]. given #85 (T,wt=19): 613 f(x,f(f(x,f(x,x)),f(f(x,x),x))) = f(x,f(x,x)). [back_rewrite(598),rewrite([607(5)])]. given #86 (T,wt=21): 594 f(f(x,x),f(f(f(x,x),x),f(x,f(x,x)))) = f(f(x,x),x). [para(234(a,1),546(a,1,2,1)),rewrite([32(6),544(7)])]. given #87 (A,wt=49): 41 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)),w),f(f(f(f(x,w),w),f(z,x)),x))) = f(z,x). [para(2(a,1),5(a,1,2,2,2))]. given #88 (F,wt=35): 771 f(f(x,y),f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))) = y # label(false). [para(657(a,1),635(a,1,1)),rewrite([657(8),657(12),767(12),657(7),657(11),657(16)])]. given #89 (F,wt=35): 774 f(f(x,y),f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))) = x # label(false). [para(655(a,1),657(a,2)),rewrite([753(12),753(28),753(44),657(48)])]. given #90 (F,wt=41): 825 f(x,f(f(x,y),f(f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y)),x))) = f(x,y) # label(false). [para(543(a,1),771(a,1,1)),rewrite([543(9),543(13),543(18)])]. given #91 (F,wt=41): 826 f(x,f(f(y,x),f(f(f(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)),x))) = f(y,x) # label(false). [para(544(a,1),771(a,1,1)),rewrite([544(9),544(13),544(18)])]. given #92 (T,wt=21): 764 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x))) = f(x,y). [para(657(a,1),546(a,1,2,1))]. given #93 (T,wt=21): 768 f(x,f(f(y,x),f(f(f(f(x,x),x),f(y,x)),x))) = f(y,x). [para(657(a,1),576(a,1,2,1))]. given #94 (T,wt=21): 785 f(x,f(f(x,y),f(f(f(f(x,x),x),f(x,y)),x))) = f(x,y). [para(662(a,1),546(a,1,2,1))]. given #95 (T,wt=21): 787 f(x,f(f(y,x),f(f(f(f(x,y),y),f(y,x)),x))) = f(y,x). [para(662(a,1),576(a,1,2,1))]. given #96 (A,wt=53): 43 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),w)))) = f(y,x). [para(11(a,1),5(a,1,1,1,2,1,1,1))]. given #97 (F,wt=45): 824 f(f(x,y),f(y,f(f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y),f(x,y)))) = y # label(false). [para(771(a,1),579(a,1,2,2,1,1,1)),rewrite([543(17)])]. given #98 (F,wt=45): 877 f(f(x,y),f(x,f(f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x),f(x,y)))) = x # label(false). [para(774(a,1),764(a,1,2,1)),rewrite([774(17),774(32),774(37)])]. given #99 (F,wt=51): 813 f(f(x,f(y,y)),f(f(y,y),f(f(f(f(y,y),f(f(y,z),f(f(f(f(f(x,f(y,y)),z),z),f(y,y)),f(x,f(y,y))))),f(y,y)),f(x,f(y,y))))) = f(y,y) # label(false). [para(11(a,1),771(a,1,2,2,1,1,2,1,1))]. given #100 (F,wt=51): 833 f(f(f(x,x),y),f(f(x,x),f(f(f(f(x,x),f(f(x,z),f(f(f(f(f(f(x,x),y),z),z),f(x,x)),f(f(x,x),y)))),f(x,x)),f(f(x,x),y)))) = f(x,x) # label(false). [para(11(a,1),774(a,1,2,2,1,1,2,1,1))]. given #101 (T,wt=23): 459 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))),f(x,x)) = x. [para(25(a,1),55(a,1,2,1)),rewrite([25(19),25(21)])]. given #102 (T,wt=23): 763 f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z)))) = x. [para(25(a,1),657(a,1,1,1)),rewrite([25(11),25(21)])]. given #103 (T,wt=23): 940 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))),f(x,x)) = x. [para(55(a,1),459(a,1,1,2,2))]. given #104 (T,wt=23): 949 f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x)))) = x. [para(55(a,1),763(a,1,2,2,2))]. given #105 (A,wt=25): 50 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(32(a,1),5(a,1,1)),rewrite([40(3),40(3)])]. given #106 (F,wt=55): 831 f(f(x,y),f(y,f(f(f(y,f(y,f(f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y),f(x,y)))),y),f(x,y)))) = y # label(false). [para(771(a,1),771(a,1,2,2,1,1,2,2,1,1,1)),rewrite([543(17)])]. given #107 (F,wt=55): 845 f(f(x,y),f(x,f(f(f(x,f(x,f(f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x),f(x,y)))),x),f(x,y)))) = x # label(false). [para(774(a,1),774(a,1,2,2,1,1,2,2,1,1,1)),rewrite([543(17)])]. given #108 (F,wt=55): 878 f(x,f(f(x,y),f(f(f(f(x,y),f(f(x,y),f(f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y)),x))),f(x,y)),x))) = f(x,y) # label(false). [para(825(a,1),764(a,1,2,1)),rewrite([825(19),825(38),825(43)])]. given #109 (F,wt=55): 879 f(x,f(f(y,x),f(f(f(f(y,x),f(f(y,x),f(f(f(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)),x))),f(y,x)),x))) = f(y,x) # label(false). [para(826(a,1),764(a,1,2,1)),rewrite([826(19),826(38),826(43)])]. given #110 (T,wt=25): 66 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(55(a,1),2(a,1,2,2,2))]. given #111 (T,wt=25): 67 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(2(a,1),55(a,1,2,1)),rewrite([2(20),2(22)])]. given #112 (T,wt=25): 356 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(16(a,1),55(a,1,2,1)),rewrite([16(20),16(22)])]. given #113 (T,wt=25): 358 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(55(a,1),16(a,1,2,2,2))]. given #114 (A,wt=27): 53 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(40(a,1),2(a,1,2,2,1,1))]. given #115 (T,wt=25): 461 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(55(a,1),25(a,1,2,2,2))]. given #116 (T,wt=25): 568 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x))))) = f(x,x). [back_rewrite(255),rewrite([544(4)])]. given #117 (T,wt=25): 573 f(x,f(f(f(f(y,x),f(y,x)),f(x,x)),f(f(x,f(y,x)),x))) = f(y,x). [back_rewrite(157),rewrite([544(3)])]. given #118 (T,wt=25): 589 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(40(a,1),546(a,1,2,2,1,1))]. given #119 (A,wt=35): 54 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(40(a,1),2(a,1,2,2,2))]. given #120 (T,wt=25): 599 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(13(a,1),546(a,1,2,2,1)),rewrite([40(6),40(17),543(29),20(27),40(3),40(5)]),flip(a)]. given #121 (T,wt=25): 609 f(f(x,x),f(f(f(x,x),x),f(x,f(f(f(x,x),x),y)))) = f(f(x,x),x). [back_rewrite(555),rewrite([604(3)])]. given #122 (T,wt=25): 621 f(f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(z,x))),f(x,x)) = x. [para(579(a,1),55(a,1,2,1)),rewrite([579(20),579(22)])]. given #123 (T,wt=25): 640 f(f(x,y),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,y)))) = x. [para(11(a,1),587(a,1,2,2,1,1,1))]. given #124 (A,wt=55): 57 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),w)))) = f(y,x). [para(40(a,1),5(a,1,1,1,2,1,1))]. given #125 (F,wt=49): 1278 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,y))),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(640(a,1),54(a,1,2,2,1,1,1,1))]. given #126 (F,wt=49): 1293 f(f(f(x,f(f(f(f(f(y,x),f(y,x)),f(y,x)),x),f(y,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) # label(false). [para(55(a,1),1278(a,1,1,1,2,2)),rewrite([543(8),544(3),543(10),55(13),55(15),55(16),55(21),55(26)])]. given #127 (F,wt=49): 1294 f(f(f(x,f(f(f(f(f(x,y),f(x,y)),f(x,y)),x),f(x,y))),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(61(a,1),1278(a,1,1,1,2,2)),rewrite([543(8),543(3),543(10),61(13),61(15),61(16),61(21),61(26)])]. given #128 (F,wt=53): 1291 f(f(f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,f(y,y))),f(y,y))),f(y,y)),f(f(y,z),f(f(f(f(f(x,f(y,y)),z),z),f(y,y)),f(x,f(y,y))))) = f(y,y) # label(false). [para(20(a,1),1278(a,1,1,1,2,2)),rewrite([657(7),20(13),20(15),20(16),543(15),20(20),20(27)])]. given #129 (T,wt=25): 656 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,z)),f(y,z)),y),f(y,u)))) = y. [para(543(a,1),2(a,1,2,1))]. given #130 (T,wt=19): 1330 f(f(x,y),f(f(f(f(y,x),f(y,z)),f(y,z)),y)) = y. [para(607(a,1),656(a,1,2,2)),rewrite([55(15)])]. given #131 (T,wt=15): 1383 f(x,f(f(f(x,x),x),f(x,y))) = f(x,y). [para(582(a,1),1330(a,1,2,1,1)),rewrite([543(3),40(5),40(9),20(7),40(4)])]. given #132 (T,wt=15): 1427 f(x,f(f(f(x,x),x),f(y,x))) = f(y,x). [para(55(a,1),1383(a,1,2,2)),rewrite([55(9)])]. given #133 (A,wt=51): 59 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),w)))) = f(z,x). [para(40(a,1),5(a,1,2,2,1,1))]. given #134 (F,wt=39): 1388 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y),f(y,x)))),y)) = y # label(false). [para(774(a,1),1330(a,1,2,1,1))]. given #135 (F,wt=39): 1516 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y)) = y # label(false). [para(55(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([657(4),55(11),55(16)])]. given #136 (F,wt=39): 1519 f(f(x,y),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)) = x # label(false). [para(61(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([662(4),61(11),61(16)])]. given #137 (F,wt=47): 1543 f(f(f(f(f(x,x),x),f(x,y)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)) = x # label(false). [para(1383(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([1383(16),1383(21)])]. given #138 (T,wt=19): 1368 f(f(x,y),f(f(f(f(x,y),f(y,z)),f(y,z)),y)) = y. [para(55(a,1),1330(a,1,2,1,1,1)),rewrite([657(4)])]. given #139 (T,wt=19): 1369 f(f(x,y),f(f(f(f(y,x),f(z,y)),f(z,y)),y)) = y. [para(55(a,1),1330(a,1,2,1,1,2)),rewrite([55(8)])]. given #140 (T,wt=19): 1370 f(f(x,y),f(f(f(f(x,y),f(x,z)),f(x,z)),x)) = x. [para(61(a,1),1330(a,1,2,1,1,1)),rewrite([662(4)])]. given #141 (T,wt=19): 1378 f(f(f(f(x,f(x,x)),f(x,y)),f(x,y)),x) = f(x,x). [para(1330(a,1),25(a,1,2,2,1)),rewrite([544(9),657(16),1212(18)]),flip(a)]. given #142 (A,wt=49): 60 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)),w),f(f(f(f(x,w),w),f(z,x)),z))) = f(z,x). [para(40(a,1),5(a,1,2,2,2))]. given #143 (F,wt=43): 1703 f(f(x,y),f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y),f(y,x)))),y)),y)) = y # label(false). [para(1519(a,1),1369(a,1,2,1,1))]. given #144 (F,wt=43): 1772 f(f(x,y),f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y)),y)) = y # label(false). [para(55(a,1),1703(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([657(4),55(11),55(16)])]. given #145 (F,wt=43): 1773 f(f(x,y),f(f(x,f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)),x)) = x # label(false). [para(61(a,1),1703(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([662(4),61(11),61(16)])]. given #146 (F,wt=47): 1545 f(f(f(f(f(x,x),x),f(y,x)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x),f(y,x)))),x)) = x # label(false). [para(1427(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([1427(16),1427(21)])]. given #147 (T,wt=19): 1455 f(f(x,x),f(f(f(x,x),x),f(x,y))) = f(f(x,x),x). [para(1383(a,1),609(a,1,2,2))]. given #148 (T,wt=19): 1614 f(f(x,y),f(f(f(f(x,y),f(z,y)),f(z,y)),y)) = y. [para(55(a,1),1368(a,1,2,1,1,2)),rewrite([55(8)])]. given #149 (T,wt=19): 1620 f(f(f(f(f(x,x),x),f(x,y)),f(x,y)),x) = f(x,x). [para(1368(a,1),576(a,1,2,2,1)),rewrite([657(16),11(9)]),flip(a)]. given #150 (T,wt=19): 1649 f(f(x,y),f(f(f(f(x,y),f(z,x)),f(z,x)),x)) = x. [para(61(a,1),1369(a,1,2,1,1,1)),rewrite([662(4)])]. given #151 (A,wt=45): 63 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(55(a,1),2(a,1,2,1))]. given #152 (F,wt=47): 1813 f(f(x,y),f(f(y,f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y),f(y,x)))),y)),y)),y)) = y # label(false). [para(1773(a,1),1369(a,1,2,1,1))]. given #153 (F,wt=47): 1895 f(f(x,y),f(f(y,f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y)),y)),y)) = y # label(false). [para(1772(a,1),1614(a,1,2,1,1))]. given #154 (F,wt=47): 1940 f(f(x,y),f(f(x,f(f(x,f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)),x)),x)) = x # label(false). [para(1773(a,1),1649(a,1,2,1,1))]. given #155 (F,wt=49): 1397 f(f(x,y),f(f(y,f(y,f(f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y),f(y,x)))),y),f(y,x)))),y)) = y # label(false). [para(877(a,1),1330(a,1,2,1,1))]. given #156 (T,wt=19): 1655 f(f(f(f(x,f(x,x)),f(y,x)),f(y,x)),x) = f(x,x). [para(1369(a,1),25(a,1,2,2,1)),rewrite([544(9),657(16),1213(18)]),flip(a)]. given #157 (T,wt=19): 1745 f(x,f(f(f(x,f(x,x)),f(x,y)),f(x,y))) = f(x,x). [para(1378(a,1),662(a,1,1,1)),rewrite([1378(8),543(3),1378(14)])]. given #158 (T,wt=19): 1832 f(x,f(f(x,f(x,x)),f(f(x,x),y))) = f(x,f(x,x)). [para(11(a,1),1455(a,1,1)),rewrite([543(3),543(9)])]. given #159 (T,wt=19): 1836 f(f(x,x),f(f(f(x,x),x),f(y,x))) = f(f(x,x),x). [para(55(a,1),1455(a,1,2,2))]. given #160 (A,wt=45): 65 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(55(a,1),2(a,1,2,2,1,1,1))]. given #161 (F,wt=49): 1510 f(x,f(f(f(y,x),f(f(y,x),f(f(f(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)),x))),f(y,x))) = f(y,x) # label(false). [para(11(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([544(3),11(14),11(19)])]. given #162 (F,wt=49): 1513 f(x,f(f(f(x,y),f(f(x,y),f(f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y)),x))),f(x,y))) = f(x,y) # label(false). [para(40(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([543(3),40(14),40(19)])]. given #163 (F,wt=49): 1566 f(f(x,y),f(y,f(f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y)),y),f(x,y)))) = y # label(false). [para(1516(a,1),764(a,1,2,1)),rewrite([1516(19),1516(36),1516(41)])]. given #164 (F,wt=49): 1594 f(f(x,y),f(x,f(f(f(x,f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)),x),f(x,y)))) = x # label(false). [para(1519(a,1),764(a,1,2,1)),rewrite([1519(19),1519(36),1519(41)])]. given #165 (T,wt=19): 1870 f(f(f(f(f(x,x),x),f(y,x)),f(y,x)),x) = f(x,x). [para(1614(a,1),576(a,1,2,2,1)),rewrite([657(16),11(9)]),flip(a)]. given #166 (T,wt=19): 1904 f(x,f(f(f(f(x,x),x),f(x,y)),f(x,y))) = f(x,x). [para(1620(a,1),662(a,1,1,1)),rewrite([1620(8),543(3),1620(14)])]. given #167 (T,wt=19): 2012 f(x,f(f(f(x,f(x,x)),f(y,x)),f(y,x))) = f(x,x). [para(1655(a,1),662(a,1,1,1)),rewrite([1655(8),543(3),1655(14)])]. given #168 (T,wt=19): 2026 f(x,f(f(x,f(x,x)),f(y,f(x,x)))) = f(x,f(x,x)). [para(55(a,1),1832(a,1,2,2))]. given #169 (A,wt=57): 68 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,w)))) = y. [para(55(a,1),4(a,1,2,2,1,1,1,2,2,2)),rewrite([55(22)])]. given #170 (F,wt=49): 1626 f(f(x,y),f(f(y,f(y,f(f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y),f(x,y)))),y)) = y # label(false). [para(824(a,1),1368(a,1,2,1,1))]. given #171 (F,wt=49): 1720 f(f(x,y),f(f(x,f(x,f(f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x),f(x,y)))),x)) = x # label(false). [para(877(a,1),1370(a,1,2,1,1))]. given #172 (F,wt=51): 1783 f(f(f(f(f(x,x),x),f(x,y)),x),f(f(x,f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)),x)) = x # label(false). [para(1383(a,1),1703(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([1383(16),1383(21)])]. given #173 (F,wt=51): 1784 f(f(f(f(f(x,x),x),f(y,x)),x),f(f(x,f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x),f(y,x)))),x)),x)) = x # label(false). [para(1427(a,1),1703(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([1427(16),1427(21)])]. given #174 (T,wt=19): 2132 f(x,f(f(f(f(x,x),x),f(y,x)),f(y,x))) = f(x,x). [para(1870(a,1),662(a,1,1,1)),rewrite([1870(8),543(3),1870(14)])]. given #175 (T,wt=21): 1426 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),y))) = f(f(x,x),y). [para(11(a,1),1383(a,1,2,1,1))]. given #176 (T,wt=21): 1464 f(f(x,x),f(f(x,f(x,x)),f(y,f(x,x)))) = f(y,f(x,x)). [para(11(a,1),1427(a,1,2,1,1))]. given #177 (T,wt=23): 1360 f(f(x,f(y,z)),f(f(f(f(f(y,z),x),z),z),f(y,z))) = f(y,z). [para(2(a,1),1330(a,1,2,1,1,2)),rewrite([2(16)])]. given #178 (A,wt=57): 69 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(w,y)))) = y. [para(55(a,1),4(a,1,2,2,2))]. given #179 (F,wt=51): 1965 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y),f(y,x)))),y)),y)),y)),y)) = y # label(false). [para(1813(a,1),1614(a,1,2,1,1))]. given #180 (F,wt=51): 1982 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))),y)),y)),y)),y)) = y # label(false). [para(1895(a,1),1614(a,1,2,1,1))]. given #181 (F,wt=51): 1995 f(f(x,y),f(f(x,f(f(x,f(f(x,f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)),x)),x)),x)) = x # label(false). [para(1940(a,1),1649(a,1,2,1,1))]. given #182 (F,wt=53): 1532 f(f(f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)) = x # label(false). [para(764(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([764(22),764(27)])]. given #183 (T,wt=15): 2257 f(x,f(f(f(x,y),y),f(x,y))) = f(x,y). [para(40(a,1),1360(a,1,2,1,1,1)),rewrite([543(3)])]. given #184 (T,wt=23): 1362 f(x,f(f(f(x,f(f(y,x),z)),f(f(y,x),z)),f(y,x))) = f(y,x). [para(11(a,1),1330(a,1,2,1,1,1)),rewrite([544(3)])]. given #185 (T,wt=15): 2487 f(x,f(f(f(x,y),y),f(y,x))) = f(y,x). [para(40(a,1),1362(a,1,2,1,1,2)),rewrite([40(4)])]. given #186 (T,wt=11): 2546 f(f(x,x),x) = f(x,f(x,x)). [para(32(a,1),2487(a,1,2,1)),rewrite([543(5)])]. given #187 (A,wt=53): 70 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)),w),f(f(f(f(x,w),w),f(z,x)),f(f(z,x),v5)))) = f(z,x). [para(55(a,1),5(a,1,1,1,2,2))]. given #188 (F,wt=35): 2409 f(x,f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y))) = f(x,y) # label(false). [para(546(a,1),2257(a,1,2,1,1)),rewrite([546(23),546(26)])]. given #189 (F,wt=29): 3233 f(f(x,y),f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)) = y # label(false). [para(2(a,1),2409(a,1,2,1,1)),rewrite([2(12),2(12),2(17),2(22),2(24)])]. given #190 (F,wt=29): 3237 f(f(x,y),f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)) = x # label(false). [para(40(a,1),2409(a,1,2,1,1)),rewrite([40(4),40(4),40(9),40(14),40(16)])]. given #191 (F,wt=33): 3308 f(f(x,y),f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)) = y # label(false). [para(3233(a,1),1614(a,1,2,1,1))]. given #192 (T,wt=15): 2615 f(x,f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(2487(a,1),1383(a,1,2,2)),rewrite([2546(2),2487(10)])]. given #193 (T,wt=15): 2617 f(x,f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(1383(a,1),2487(a,1,2,2)),rewrite([2546(2),2546(6),1613(13),2546(3)]),flip(a)]. given #194 (T,wt=19): 2629 f(f(x,x),f(f(x,f(x,x)),f(y,x))) = f(x,f(x,x)). [para(2487(a,1),1455(a,1,2,2)),rewrite([2546(3),2546(8)])]. given #195 (T,wt=19): 2631 f(f(x,x),f(f(x,f(x,x)),f(x,y))) = f(x,f(x,x)). [para(1455(a,1),2487(a,1,2,2)),rewrite([2546(2),2546(6),2546(14),1708(16),2546(5)]),flip(a)]. given #196 (A,wt=53): 71 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)),w),f(f(f(f(x,w),w),f(z,x)),f(v5,f(z,x))))) = f(z,x). [para(55(a,1),5(a,1,2,2,2))]. given #197 (F,wt=33): 3363 f(f(x,y),f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y)) = y # label(false). [para(3237(a,1),1369(a,1,2,1,1))]. given #198 (F,wt=33): 3370 f(f(x,y),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)) = x # label(false). [para(3237(a,1),1649(a,1,2,1,1))]. given #199 (F,wt=35): 2412 f(x,f(f(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))) = f(y,x) # label(false). [para(576(a,1),2257(a,1,2,1,1)),rewrite([576(23),576(26)])]. given #200 (F,wt=37): 3424 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)),y)) = y # label(false). [para(3308(a,1),1614(a,1,2,1,1))]. given #201 (T,wt=19): 3170 f(f(x,y),f(f(f(y,x),f(f(y,x),f(y,x))),y)) = y. [para(2546(a,1),1330(a,1,2,1))]. given #202 (T,wt=19): 3179 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),x)) = x. [para(2546(a,1),1370(a,1,2,1))]. given #203 (T,wt=19): 3189 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),y)) = y. [para(2546(a,1),1614(a,1,2,1))]. given #204 (T,wt=21): 2548 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x)))) = x. [para(2487(a,1),37(a,1,2,2,2)),rewrite([2546(3),2546(5)])]. given #205 (A,wt=37): 72 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(5(a,1),55(a,1,2,1)),rewrite([5(37),5(40)])]. given #206 (F,wt=37): 3502 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y)),y)) = y # label(false). [para(3363(a,1),1614(a,1,2,1,1))]. given #207 (F,wt=37): 3562 f(f(x,y),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x)) = x # label(false). [para(3370(a,1),1649(a,1,2,1,1))]. given #208 (F,wt=39): 3284 f(f(x,y),f(y,f(f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y),f(x,y)))) = y # label(false). [para(3233(a,1),764(a,1,2,1)),rewrite([3233(14),3233(26),3233(31)])]. given #209 (F,wt=39): 3348 f(f(x,y),f(x,f(f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x),f(x,y)))) = x # label(false). [para(3237(a,1),764(a,1,2,1)),rewrite([3237(14),3237(26),3237(31)])]. given #210 (T,wt=21): 2550 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,x)) = x. [para(2487(a,1),174(a,1,1,2,2)),rewrite([2546(2),2546(4)])]. given #211 (T,wt=21): 2551 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y)))) = x. [para(174(a,1),2487(a,1,2,2)),rewrite([2546(4),2546(6),2546(12),2546(14),544(20),2546(2),2546(4),2549(9)]),flip(a)]. given #212 (T,wt=21): 2575 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),x))) = f(y,x). [para(768(a,1),2487(a,1,2,2)),rewrite([2546(3),2546(10),1708(19),2546(4)]),flip(a)]. given #213 (T,wt=21): 2577 f(x,f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),x))) = f(x,y). [para(785(a,1),2487(a,1,2,2)),rewrite([2546(3),2546(10),1711(19),2546(4)]),flip(a)]. given #214 (A,wt=45): 74 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(61(a,1),2(a,1,2,1))]. given #215 (F,wt=41): 2414 f(f(x,f(y,y)),f(f(f(y,y),f(f(y,z),f(f(f(f(f(x,f(y,y)),z),z),f(y,y)),f(x,f(y,y))))),f(y,y))) = f(y,y) # label(false). [para(582(a,1),2257(a,1,2,1,1)),rewrite([582(29),582(32)])]. given #216 (F,wt=41): 3235 f(f(f(x,x),y),f(f(f(x,x),f(f(x,z),f(f(f(f(f(f(x,x),y),z),z),f(x,x)),f(f(x,x),y)))),f(x,x))) = f(x,x) # label(false). [para(32(a,1),2409(a,1,2,1,1)),rewrite([32(6),32(7),543(6),32(11),32(18),32(21)])]. given #217 (F,wt=41): 3516 f(f(f(f(f(x,y),y),f(x,y)),x),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)) = x # label(false). [para(2257(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2257(16)])]. given #218 (F,wt=41): 3520 f(f(f(f(f(x,y),y),f(y,x)),x),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x)),x)) = x # label(false). [para(2487(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2487(16)])]. given #219 (T,wt=21): 3129 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y))),f(x,x)) = x. [back_rewrite(2549),rewrite([2551(18)])]. given #220 (T,wt=23): 1366 f(x,f(f(f(x,f(f(x,y),z)),f(f(x,y),z)),f(x,y))) = f(x,y). [para(40(a,1),1330(a,1,2,1,1,1)),rewrite([543(3)])]. given #221 (T,wt=23): 1367 f(f(x,f(y,z)),f(f(f(f(f(y,z),x),y),y),f(y,z))) = f(y,z). [para(40(a,1),1330(a,1,2,1,1,2)),rewrite([40(8)])]. given #222 (T,wt=23): 1611 f(f(x,f(y,z)),f(f(f(f(x,f(y,z)),z),z),f(y,z))) = f(y,z). [para(2(a,1),1368(a,1,2,1,1,2)),rewrite([2(16)])]. given #223 (A,wt=45): 76 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(61(a,1),2(a,1,2,2,1,1,1))]. given #224 (F,wt=41): 3527 f(f(f(f(x,f(x,x)),f(y,x)),x),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x)),x)) = x # label(false). [para(2615(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2615(16)])]. given #225 (F,wt=41): 3528 f(f(f(f(x,f(x,x)),f(x,y)),x),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)) = x # label(false). [para(2617(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2617(16)])]. given #226 (F,wt=41): 3640 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)),y)),y)) = y # label(false). [para(3424(a,1),1614(a,1,2,1,1))]. given #227 (F,wt=41): 3899 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y)),y)),y)) = y # label(false). [para(3502(a,1),1614(a,1,2,1,1))]. given #228 (T,wt=23): 1613 f(f(x,f(y,z)),f(f(f(f(x,f(y,z)),y),y),f(y,z))) = f(y,z). [para(40(a,1),1368(a,1,2,1,1,2)),rewrite([40(8)])]. given #229 (T,wt=23): 1636 f(f(f(f(x,f(x,x)),f(f(x,x),y)),f(f(x,x),y)),f(x,x)) = x. [para(1368(a,1),640(a,1,2,2,1)),rewrite([20(11),657(24),20(23),543(14),20(12),543(3)]),flip(a)]. given #230 (T,wt=23): 1646 f(x,f(f(f(x,f(y,f(z,x))),f(y,f(z,x))),f(z,x))) = f(z,x). [para(11(a,1),1369(a,1,2,1,1,1)),rewrite([544(3)])]. given #231 (T,wt=23): 1648 f(x,f(f(f(x,f(y,f(x,z))),f(y,f(x,z))),f(x,z))) = f(x,z). [para(40(a,1),1369(a,1,2,1,1,1)),rewrite([543(3)])]. given #232 (A,wt=57): 88 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(11(a,1),6(a,1,2,1,2,2,1,1,1)),rewrite([11(18)])]. given #233 (F,wt=41): 3948 f(f(x,y),f(f(x,f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x)),x)) = x # label(false). [para(3562(a,1),1649(a,1,2,1,1))]. given #234 (F,wt=43): 2408 f(x,f(f(f(f(x,y),f(x,y)),f(f(f(x,z),z),f(x,z))),f(f(f(f(x,z),f(f(f(x,z),z),f(x,z))),f(x,y)),x))) = f(x,y) # label(false). [para(2257(a,1),546(a,1,2,2,1,1,1))]. given #235 (F,wt=43): 2411 f(x,f(f(f(f(y,x),f(y,x)),f(f(f(x,z),z),f(x,z))),f(f(f(f(x,z),f(f(f(x,z),z),f(x,z))),f(y,x)),x))) = f(y,x) # label(false). [para(2257(a,1),576(a,1,2,2,1,1,1))]. given #236 (F,wt=43): 2557 f(x,f(f(f(f(x,y),f(x,y)),f(f(f(x,z),z),f(z,x))),f(f(f(f(z,x),f(f(f(x,z),z),f(z,x))),f(x,y)),x))) = f(x,y) # label(false). [para(2487(a,1),546(a,1,2,2,1,1,1))]. given #237 (T,wt=23): 1708 f(f(f(x,y),z),f(f(f(f(f(x,y),z),y),y),f(x,y))) = f(x,y). [para(2(a,1),1370(a,1,2,1,1,2)),rewrite([2(16)])]. given #238 (T,wt=23): 1711 f(f(f(x,y),z),f(f(f(f(f(x,y),z),x),x),f(x,y))) = f(x,y). [para(40(a,1),1370(a,1,2,1,1,2)),rewrite([40(8)])]. given #239 (T,wt=23): 1738 f(f(x,y),f(f(y,f(f(f(f(y,x),f(y,z)),f(y,z)),y)),y)) = y. [para(1370(a,1),1369(a,1,2,1,1))]. given #240 (T,wt=23): 1885 f(f(f(f(x,f(x,x)),f(y,f(x,x))),f(y,f(x,x))),f(x,x)) = x. [para(1614(a,1),640(a,1,2,2,1)),rewrite([20(11),657(24),20(23),543(14),20(12),543(3)]),flip(a)]. given #241 (A,wt=57): 94 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,w))),f(x,x)) = x. [para(6(a,1),55(a,1,2,1)),rewrite([6(52),6(54)])]. given #242 (F,wt=43): 2563 f(x,f(f(f(f(y,x),f(y,x)),f(f(f(x,z),z),f(z,x))),f(f(f(f(z,x),f(f(f(x,z),z),f(z,x))),f(y,x)),x))) = f(y,x) # label(false). [para(2487(a,1),576(a,1,2,2,1,1,1))]. given #243 (F,wt=43): 3260 f(x,f(f(f(x,y),f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y))),f(x,y))) = f(x,y) # label(false). [para(2409(a,1),2257(a,1,2,1,1)),rewrite([2409(31),2409(34)])]. given #244 (F,wt=43): 3328 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y),f(x,y)))),y)) = y # label(false). [para(3233(a,1),3233(a,1,2,1,2,2,1,1,1)),rewrite([544(14)])]. given #245 (F,wt=43): 3386 f(f(x,y),f(f(x,f(x,f(f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x),f(x,y)))),x)) = x # label(false). [para(3237(a,1),3237(a,1,2,1,2,2,1,1,1)),rewrite([544(14)])]. given #246 (T,wt=23): 1891 f(f(x,y),f(f(y,f(f(f(f(x,y),f(y,z)),f(y,z)),y)),y)) = y. [para(1368(a,1),1614(a,1,2,1,1))]. given #247 (T,wt=23): 1893 f(f(x,y),f(f(y,f(f(f(f(y,x),f(z,y)),f(z,y)),y)),y)) = y. [para(1369(a,1),1614(a,1,2,1,1))]. given #248 (T,wt=23): 1897 f(f(x,y),f(f(y,f(f(f(f(x,y),f(z,y)),f(z,y)),y)),y)) = y. [para(1614(a,1),1614(a,1,2,1,1))]. given #249 (T,wt=23): 1936 f(f(x,y),f(f(x,f(f(f(f(x,y),f(x,z)),f(x,z)),x)),x)) = x. [para(1370(a,1),1649(a,1,2,1,1))]. given #250 (A,wt=57): 95 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,w)))) = y. [para(55(a,1),6(a,1,2,1,2,2,2)),rewrite([55(22)])]. given #251 (F,wt=43): 3401 f(x,f(f(f(y,x),f(f(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))),f(y,x))) = f(y,x) # label(false). [para(544(a,1),3308(a,1,1)),rewrite([544(9),544(13)])]. given #252 (F,wt=43): 3408 f(f(x,y),f(y,f(f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)),y),f(x,y)))) = y # label(false). [para(3308(a,1),764(a,1,2,1)),rewrite([3308(16),3308(30),3308(35)])]. given #253 (F,wt=43): 3548 f(f(x,y),f(x,f(f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x),f(x,y)))) = x # label(false). [para(3370(a,1),764(a,1,2,1)),rewrite([3370(16),3370(30),3370(35)])]. given #254 (F,wt=43): 3658 f(f(f(f(f(x,y),f(f(x,y),f(x,y))),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) # label(false). [para(3170(a,1),7(a,1,2,2,1,1,1,1))]. given #255 (T,wt=23): 1941 f(f(x,y),f(f(x,f(f(f(f(x,y),f(z,x)),f(z,x)),x)),x)) = x. [para(1649(a,1),1649(a,1,2,1,1))]. given #256 (T,wt=23): 2139 f(f(x,x),f(f(f(x,f(x,x)),f(f(x,x),y)),f(f(x,x),y))) = x. [para(11(a,1),1904(a,1,2,1,1,1)),rewrite([543(13)])]. given #257 (T,wt=23): 2209 f(f(x,x),f(f(f(x,f(x,x)),f(y,f(x,x))),f(y,f(x,x)))) = x. [para(11(a,1),2132(a,1,2,1,1,1)),rewrite([543(13)])]. given #258 (T,wt=23): 2482 f(x,f(f(f(x,y),f(f(f(x,y),y),f(x,y))),f(x,y))) = f(x,y). [para(2257(a,1),2257(a,1,2,1,1)),rewrite([2257(11),2257(14)])]. given #259 (A,wt=57): 96 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(w,y)))) = y. [para(55(a,1),6(a,1,2,2,2))]. given #260 (F,wt=43): 3751 f(f(f(f(f(x,y),f(f(x,y),f(x,y))),x),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(3179(a,1),54(a,1,2,2,1,1,1,1))]. given #261 (F,wt=43): 3789 f(f(f(f(f(x,y),f(f(x,y),f(x,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) # label(false). [para(3189(a,1),7(a,1,2,2,1,1,1,1))]. given #262 (F,wt=43): 4025 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y),f(y,x)))),y)) = y # label(false). [para(3348(a,1),1330(a,1,2,1,1))]. given #263 (F,wt=45): 3907 f(f(f(f(f(x,y),y),f(x,y)),x),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x)) = x # label(false). [para(2257(a,1),3502(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2257(16)])]. given #264 (T,wt=23): 2581 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))),f(x,x)) = x. [para(2487(a,1),459(a,1,1,2,2)),rewrite([2546(4)])]. given #265 (T,wt=23): 2582 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))),f(x,x)) = x. [para(459(a,1),2487(a,1,2,2)),rewrite([2546(6),2546(15),544(22),2546(4)]),flip(a)]. given #266 (T,wt=23): 2584 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [para(2487(a,1),763(a,1,2,2,2)),rewrite([2546(5)])]. given #267 (T,wt=23): 2585 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [para(763(a,1),2487(a,1,2,2)),rewrite([2546(4),2546(12),2582(18),20(11),2582(10),2546(5)]),flip(a)]. given #268 (A,wt=41): 126 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,w),u),u),y),f(y,v5)))))) = y. [para(2(a,1),7(a,1,1,2)),rewrite([2(12),2(12),2(14),2(17),2(30)])]. given #269 (F,wt=45): 3909 f(f(f(f(f(x,y),y),f(y,x)),x),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x)),x)),x)) = x # label(false). [para(2487(a,1),3502(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2487(16)])]. given #270 (F,wt=45): 3915 f(f(f(f(x,f(x,x)),f(y,x)),x),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x)),x)),x)) = x # label(false). [para(2615(a,1),3502(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2615(16)])]. given #271 (F,wt=45): 3916 f(f(f(f(x,f(x,x)),f(x,y)),x),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x)) = x # label(false). [para(2617(a,1),3502(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2617(16)])]. given #272 (F,wt=45): 4407 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)),y)),y)),y)) = y # label(false). [para(3640(a,1),1614(a,1,2,1,1))]. given #273 (T,wt=23): 2648 f(x,f(f(f(y,x),f(f(f(x,y),y),f(y,x))),f(y,x))) = f(y,x). [para(2487(a,1),2257(a,1,2,1,1)),rewrite([2487(11),2487(14)])]. given #274 (T,wt=23): 2666 f(x,f(f(f(y,x),f(f(x,f(x,x)),f(y,x))),f(y,x))) = f(y,x). [back_rewrite(2460),rewrite([2546(3)])]. given #275 (T,wt=23): 2667 f(x,f(f(f(x,y),f(f(x,f(x,x)),f(x,y))),f(x,y))) = f(x,y). [back_rewrite(2459),rewrite([2546(3)])]. given #276 (T,wt=23): 3701 f(f(x,y),f(f(y,f(f(f(y,x),f(f(y,x),f(y,x))),y)),y)) = y. [para(3170(a,1),1614(a,1,2,1,1))]. given #277 (A,wt=33): 128 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(11(a,1),7(a,1,2,2,1,1,1))]. given #278 (F,wt=45): 4435 f(f(x,y),f(f(y,f(f(y,f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y)),y)),y)),y)) = y # label(false). [para(3899(a,1),1614(a,1,2,1,1))]. given #279 (F,wt=45): 4597 f(f(x,y),f(f(x,f(f(x,f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x)),x)),x)) = x # label(false). [para(3948(a,1),1649(a,1,2,1,1))]. given #280 (F,wt=47): 2462 f(f(f(f(f(x,y),y),f(x,y)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)) = x # label(false). [para(2257(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([2257(16),2257(21)])]. given #281 (F,wt=47): 2620 f(f(f(f(f(x,y),y),f(y,x)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x),f(y,x)))),x)) = x # label(false). [para(2487(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([2487(16),2487(21)])]. given #282 (T,wt=21): 5795 f(x,f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),y))) = f(x,y). [para(543(a,1),128(a,1,1)),rewrite([543(6),662(4),543(5),2546(3)])]. given #283 (T,wt=23): 3764 f(f(x,y),f(f(x,f(f(f(x,y),f(f(x,y),f(x,y))),x)),x)) = x. [para(3179(a,1),1649(a,1,2,1,1))]. given #284 (T,wt=23): 3820 f(f(x,y),f(f(y,f(f(f(x,y),f(f(x,y),f(x,y))),y)),y)) = y. [para(3189(a,1),1614(a,1,2,1,1))]. given #285 (T,wt=25): 674 f(f(x,y),f(y,f(f(f(f(f(x,y),f(y,z)),f(y,z)),y),f(x,y)))) = y. [para(543(a,1),579(a,1,2,1))]. given #286 (A,wt=59): 135 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)),w),f(f(f(f(z,w),w),f(y,z)),f(f(y,z),v5)))))) = f(y,z). [para(5(a,1),7(a,1,1,2)),rewrite([5(26),5(27),5(30),5(34),5(51)])]. given #287 (F,wt=47): 2621 f(f(f(f(x,f(x,x)),f(y,x)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x),f(y,x)))),x)) = x # label(false). [para(2487(a,1),1543(a,1,1,1,2)),rewrite([2546(2),2487(12),2487(16),2487(21)])]. given #288 (F,wt=47): 2622 f(f(f(f(x,f(x,x)),f(x,y)),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))),x)) = x # label(false). [para(1543(a,1),2487(a,1,2,2)),rewrite([2546(34),2546(40),1614(46),2546(2)]),flip(a)]. given #289 (F,wt=47): 3439 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)),y),f(x,y)))),y)) = y # label(false). [para(3308(a,1),3233(a,1,2,1,2,2,1,1,1)),rewrite([544(16)])]. given #290 (F,wt=47): 3440 f(f(x,y),f(f(y,f(f(y,f(y,f(f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y),f(x,y)))),y)),y)) = y # label(false). [para(3233(a,1),3308(a,1,2,1,2,1,2,2,1,1,1)),rewrite([544(14)])]. given #291 (T,wt=25): 679 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(y,u)))) = y. [back_rewrite(64),rewrite([657(4)])]. given #292 (T,wt=25): 691 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,u)))) = x. [back_rewrite(75),rewrite([662(4)])]. given #293 (T,wt=25): 692 f(f(x,y),f(y,f(f(f(f(f(y,x),f(z,y)),f(z,y)),y),f(y,u)))) = y. [para(544(a,1),2(a,1,2,1))]. given #294 (T,wt=25): 703 f(f(x,y),f(y,f(f(f(f(f(x,y),f(z,y)),f(z,y)),y),f(x,y)))) = y. [para(544(a,1),579(a,1,2,1))]. given #295 (A,wt=41): 137 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(40(a,1),7(a,1,2,2,1,1))]. given #296 (F,wt=47): 3484 f(f(f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x)),x),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)) = x # label(false). [para(764(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([764(22)])]. given #297 (F,wt=47): 3485 f(f(f(f(x,y),f(f(f(f(y,x),x),f(x,y)),y)),y),f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)) = y # label(false). [para(787(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([787(22)])]. given #298 (F,wt=47): 3524 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y)),y),f(x,y)))),y)) = y # label(false). [para(3363(a,1),3233(a,1,2,1,2,2,1,1,1)),rewrite([544(16)])]. given #299 (F,wt=47): 3525 f(f(x,y),f(f(y,f(f(y,f(y,f(f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y),f(y,x)))),y)),y)) = y # label(false). [para(3237(a,1),3363(a,1,2,1,2,1,2,2,1,1,1)),rewrite([544(14)])]. given #300 (T,wt=25): 753 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(2(a,1),657(a,1,1,1)),rewrite([2(11),2(22)])]. given #301 (T,wt=25): 762 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(16(a,1),657(a,1,1,1)),rewrite([16(11),16(22)])]. given #302 (T,wt=25): 767 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(z,x)))) = x. [para(579(a,1),657(a,1,1,1)),rewrite([579(11),579(22)])]. given #303 (T,wt=25): 954 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(11(a,1),940(a,1,1,2,1,1,1))]. given #304 (A,wt=37): 138 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(7(a,1),55(a,1,2,1)),rewrite([7(28),7(31)])]. given #305 (F,wt=47): 3576 f(f(x,y),f(f(x,f(x,f(f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x),f(x,y)))),x)) = x # label(false). [para(3370(a,1),3237(a,1,2,1,2,2,1,1,1)),rewrite([544(16)])]. given #306 (F,wt=47): 3577 f(f(x,y),f(f(x,f(f(x,f(x,f(f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x),f(x,y)))),x)),x)) = x # label(false). [para(3237(a,1),3370(a,1,2,1,2,1,2,2,1,1,1)),rewrite([544(14)])]. given #307 (F,wt=47): 3629 f(f(x,y),f(y,f(f(f(y,f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)),y)),y),f(x,y)))) = y # label(false). [para(3424(a,1),764(a,1,2,1)),rewrite([3424(18),3424(34),3424(39)])]. given #308 (F,wt=47): 4050 f(f(f(f(x,y),f(f(f(y,f(y,y)),f(x,y)),y)),y),f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y)),y)) = y # label(false). [para(2575(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2575(22)])]. given #309 (T,wt=25): 963 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(11(a,1),949(a,1,2,2,1,1,1))]. given #310 (T,wt=25): 971 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(50(a,1),55(a,1,2,1)),rewrite([50(20),543(12),50(20)])]. given #311 (T,wt=25): 1003 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(66(a,1),55(a,1,2,1)),rewrite([66(20),66(22)])]. given #312 (T,wt=25): 1005 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(55(a,1),66(a,1,2,2,1,1,1,1)),rewrite([657(4)])]. given #313 (A,wt=59): 152 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)),w),f(f(f(f(f(f(y,z),v5),w),w),f(y,z)),z))))) = f(y,z). [para(7(a,1),7(a,1,1,2)),rewrite([7(17),7(18),7(21),7(25),7(42)])]. given #314 (F,wt=47): 4053 f(f(f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),x)),x),f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)) = x # label(false). [para(2577(a,1),3363(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite([2577(22)])]. given #315 (F,wt=47): 5164 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(y,f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y)),y)),y),f(y,x)))),y)) = y # label(false). [para(3548(a,1),1330(a,1,2,1,1))]. given #316 (F,wt=47): 5670 f(f(f(f(x,f(f(f(x,y),f(f(x,y),f(x,y))),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) # label(false). [para(3701(a,1),7(a,1,2,2,1,1,1,1))]. given #317 (F,wt=47): 5985 f(f(f(f(x,f(f(f(x,y),f(f(x,y),f(x,y))),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)),x))) = f(x,y) # label(false). [para(3764(a,1),54(a,1,2,2,1,1,1,1))]. given #318 (T,wt=25): 1008 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(61(a,1),66(a,1,2,2,1,1,1,1)),rewrite([662(4)])]. given #319 (T,wt=25): 1018 f(f(f(x,x),y),f(f(f(f(f(x,f(x,x)),y),y),x),f(z,x))) = f(x,x). [para(66(a,1),546(a,1,2,2,1)),rewrite([32(7),32(17),604(27),11(26),32(3),32(6)]),flip(a)]. given #320 (T,wt=15): 7557 f(f(f(f(x,f(x,x)),y),y),x) = f(x,x). [para(1018(a,1),1885(a,1,1,1,2)),rewrite([7510(16),11(8),7510(13),32(3),7510(13),20(3)]),flip(a)]. given #321 (T,wt=15): 7559 f(f(f(f(x,f(x,x)),y),y),f(x,x)) = x. [para(11(a,1),7557(a,1,1,1,1,2)),rewrite([2546(2),543(9)])]. given #322 (A,wt=33): 158 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(127(a,1),55(a,1,2,1)),rewrite([127(25),127(28)])]. given #323 (F,wt=47): 6031 f(f(f(f(x,f(f(f(y,x),f(f(y,x),f(y,x))),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) # label(false). [para(3820(a,1),7(a,1,2,2,1,1,1,1))]. given #324 (F,wt=49): 2413 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(x,f(y,y)),f(f(f(y,z),z),f(y,z))),f(f(f(y,z),z),f(y,z))),f(y,y)),f(x,f(y,y))))) = f(y,y) # label(false). [para(2257(a,1),582(a,1,2,1))]. given #325 (F,wt=49): 2565 f(f(x,f(y,y)),f(f(z,y),f(f(f(f(f(x,f(y,y)),f(f(f(y,z),z),f(z,y))),f(f(f(y,z),z),f(z,y))),f(y,y)),f(x,f(y,y))))) = f(y,y) # label(false). [para(2487(a,1),582(a,1,2,1))]. given #326 (F,wt=49): 2609 f(f(f(x,f(f(f(f(y,x),f(f(y,x),f(y,x))),x),f(y,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) # label(false). [para(1293(a,1),2487(a,2)),rewrite([2546(25),2546(37),2546(49),2487(68)])]. given #327 (T,wt=11): 7716 f(x,f(x,f(x,y))) = f(x,y). [back_rewrite(4566),rewrite([7648(8)])]. given #328 (T,wt=11): 7717 f(x,f(x,f(y,x))) = f(y,x). [back_rewrite(4530),rewrite([7648(8)])]. given #329 (T,wt=11): 7848 f(f(x,y),f(f(x,y),y)) = y. [para(2(a,1),7716(a,1,2,2)),rewrite([2(15)])]. given #330 (T,wt=11): 7850 f(f(x,y),f(f(x,y),x)) = x. [para(40(a,1),7716(a,1,2,2)),rewrite([40(7)])]. given #331 (A,wt=55): 164 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)),w),f(f(f(f(z,w),w),f(y,z)),z))))) = f(y,z). [para(127(a,1),7(a,1,1,2)),rewrite([127(16),127(17),127(20),127(24),127(39)])]. given #332 (F,wt=35): 8188 f(f(f(f(x,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) # label(false). [para(7848(a,1),7(a,1,2,2,1,1,1,1))]. given #333 (F,wt=35): 8351 f(f(f(f(x,y),x),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(7850(a,1),54(a,1,2,2,1,1,1,1))]. given #334 (F,wt=41): 7917 f(f(f(x,f(x,y)),x),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x)),x)),x)) = x # label(false). [para(7716(a,1),3502(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite([7716(12)])]. given #335 (F,wt=41): 8090 f(f(f(x,f(y,x)),x),f(f(x,f(f(x,f(f(x,f(f(f(x,x),z),f(f(f(f(f(y,x),z),z),x),f(y,x)))),x)),x)),x)) = x # label(false). [para(7717(a,1),3502(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite([7717(12)])]. given #336 (T,wt=15): 8239 f(f(x,y),f(f(y,f(f(x,y),y)),y)) = y. [para(7848(a,1),1614(a,1,2,1,1))]. given #337 (T,wt=15): 8363 f(f(x,y),f(f(y,f(f(y,x),y)),y)) = y. [para(7850(a,1),1369(a,1,2,1,1))]. given #338 (T,wt=15): 8366 f(f(x,y),f(f(x,f(f(x,y),x)),x)) = x. [para(7850(a,1),1649(a,1,2,1,1))]. given #339 (T,wt=15): 8448 f(f(f(x,f(x,x)),y),y) = f(x,f(x,x)). [para(7557(a,1),7850(a,1,1)),rewrite([7557(6),7648(7),2546(2)]),flip(a)]. Low Water (keep): wt=59.000, iters=7170 NOTE: New constant: f(x,f(x,x)) = c_0. [new_symbol(9086)]. NOTE: New Function symbol precedence: function_order([ c1, c2, c3, c_0, f ]). NOTE: sn=119, num_tables=162 NOTE: updating interpretation 1: c_0=1. given #340 (A,wt=29): 291 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(13(a,1),55(a,1,2,1)),rewrite([13(26),40(14),13(26)])]. given #341 (F,wt=23): 9830 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),c_0))) = x # label(false). [back_rewrite(9188),rewrite([9222(9)])]. given #342 (F,wt=23): 9834 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),c_0))) = y # label(false). [back_rewrite(9182),rewrite([9222(9)])]. given #343 (F,wt=23): 9895 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),c_0))) = y # label(false). [back_rewrite(9044),rewrite([9222(9)])]. given #344 (F,wt=25): 10891 f(x,f(f(f(c_0,f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(9721),rewrite([9839(2),543(3),543(3),9839(3,R)])]. given #345 (T,wt=7): 9222 f(x,f(x,x)) = c_0. [new_symbol(9086)]. given #346 (T,wt=7): 9839 f(c_0,x) = f(x,x). [back_rewrite(9172),rewrite([9222(4),9222(5),9222(8),9827(8),9410(5),9222(3)]),flip(a)]. given #347 (T,wt=7): 9849 f(c_0,f(x,x)) = x. [back_rewrite(9145),rewrite([9222(2),9222(5),9839(5),9222(5),9839(5),2546(5),9222(5),9839(5),753(14),32(4)])]. given #348 (T,wt=7): 9870 f(x,f(c_0,c_0)) = c_0. [back_rewrite(9102),rewrite([9222(2),9222(3),9222(4),604(6),9222(6)])]. given #349 (A,wt=33): 294 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(55(a,1),13(a,1,2,2,2))]. given #350 (F,wt=23): 12685 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(f(f(y,x),z),z),y)))) = y # label(false). [para(9839(a,2),66(a,1,2,2))]. given #351 (F,wt=23): 12716 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(f(f(x,y),z),z),y)))) = y # label(false). [para(9839(a,2),1005(a,1,2,2))]. given #352 (F,wt=23): 12718 f(f(x,y),f(f(f(x,x),z),f(c_0,f(f(f(f(x,y),z),z),x)))) = x # label(false). [para(9839(a,2),1008(a,1,2,2))]. given #353 (F,wt=25): 10898 f(x,f(f(f(c_0,f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),x))) = f(y,x) # label(false). [back_rewrite(9700),rewrite([9839(2),543(3),544(3),9839(3,R)])]. given #354 (T,wt=7): 9898 f(f(c_0,c_0),x) = c_0. [back_rewrite(9028),rewrite([9222(2),9222(3),9222(6)])]. given #355 (T,wt=7): 9899 f(x,c_0) = f(x,x). [back_rewrite(9024),rewrite([9222(2)])]. given #356 (T,wt=7): 9900 f(f(x,x),c_0) = x. [back_rewrite(9022),rewrite([9222(3)])]. given #357 (T,wt=7): 10797 f(f(x,x),x) = c_0. [back_rewrite(2546),rewrite([9222(4)])]. given #358 (A,wt=51): 297 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),w),u),u),f(y,y)),f(f(y,y),v5)))))) = f(y,y). [para(13(a,1),7(a,1,1,2)),rewrite([13(16),13(17),40(5),13(17),13(21),13(37)])]. given #359 (F,wt=25): 12275 f(x,f(f(f(c_0,f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),c_0))) = f(y,x) # label(false). [para(2(a,1),9830(a,1,1)),rewrite([9839(3,R),2(15)])]. given #360 (F,wt=25): 12280 f(x,f(f(f(c_0,f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),c_0))) = f(x,y) # label(false). [para(40(a,1),9830(a,1,1)),rewrite([9839(3,R),40(7)])]. given #361 (F,wt=25): 12797 f(x,f(f(f(c_0,f(y,x)),z),f(c_0,f(f(f(x,z),z),f(y,x))))) = f(y,x) # label(false). [para(11(a,1),12685(a,1,2,2,2,1,1,1)),rewrite([544(3),9839(3,R)])]. given #362 (F,wt=25): 12799 f(x,f(f(f(c_0,f(x,y)),z),f(c_0,f(f(f(x,z),z),f(x,y))))) = f(x,y) # label(false). [para(40(a,1),12685(a,1,2,2,2,1,1,1)),rewrite([543(3),9839(3,R)])]. given #363 (T,wt=11): 9897 f(f(f(f(x,y),y),c_0),x) = c_0. [back_rewrite(9029),rewrite([9222(4),9222(7)])]. given #364 (T,wt=11): 9963 f(x,f(f(f(x,y),y),c_0)) = c_0. [back_rewrite(8457),rewrite([9222(4),9222(7)])]. given #365 (T,wt=11): 10008 f(x,f(f(f(x,x),y),c_0)) = c_0. [back_rewrite(7788),rewrite([9222(4),9222(7)])]. given #366 (T,wt=11): 10010 f(f(f(f(x,x),y),c_0),x) = c_0. [back_rewrite(7786),rewrite([9222(4),9222(7)])]. given #367 (A,wt=55): 661 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(z,x),f(f(f(f(x,f(f(z,x),w)),f(f(z,x),w)),f(z,x)),f(f(z,x),v5)))) = f(z,x). [para(543(a,1),5(a,1,2,1))]. given #368 (F,wt=27): 12312 f(f(x,y),f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),c_0))),x)) = x # label(false). [para(9830(a,1),2257(a,1,2,1,1)),rewrite([9830(22),9830(24)])]. given #369 (F,wt=27): 12418 f(f(x,y),f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),c_0))),y)) = y # label(false). [para(9834(a,1),2257(a,1,2,1,1)),rewrite([9834(22),9834(24)])]. given #370 (F,wt=27): 12534 f(f(x,y),f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),c_0))),y)) = y # label(false). [para(9895(a,1),2257(a,1,2,1,1)),rewrite([9895(22),9895(24)])]. given #371 (F,wt=27): 12594 f(f(f(x,f(x,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),c_0))) = x # label(false). [para(7716(a,1),9895(a,1,2,2,1,1,1,1))]. given #372 (T,wt=11): 10019 f(x,f(f(y,f(x,x)),c_0)) = c_0. [back_rewrite(7774),rewrite([9222(4),9222(7)])]. given #373 (T,wt=11): 10021 f(f(f(x,f(y,y)),c_0),y) = c_0. [back_rewrite(7772),rewrite([9222(4),9222(7)])]. Low Water (keep): wt=57.000, iters=6681 given #374 (T,wt=11): 10027 f(f(x,x),f(f(y,x),c_0)) = c_0. [back_rewrite(7763),rewrite([9222(4),9222(7)])]. given #375 (T,wt=11): 10031 f(f(f(x,y),c_0),f(y,y)) = c_0. [back_rewrite(7759),rewrite([9222(3),9222(7)])]. given #376 (A,wt=37): 9742 f(f(x,x),f(f(f(c_0,f(f(x,x),y)),f(c_0,f(z,x))),f(f(f(z,x),f(f(x,x),y)),f(x,x)))) = f(f(x,x),y). [back_rewrite(7757),rewrite([9221(6),9222(3),9222(7)])]. given #377 (F,wt=23): 15293 f(f(x,y),f(f(f(x,x),z),f(f(f(z,f(f(x,y),z)),x),c_0))) = x # label(false). [back_rewrite(14797),rewrite([15147(3),7716(3),15148(5),15148(8),15203(8),15148(8),15148(11),15203(11),15148(6)])]. given #378 (F,wt=23): 15747 f(f(x,y),f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))) = x # label(false). [back_rewrite(13036),rewrite([15148(5),15148(8),15203(8),15148(9),15148(12),15203(12),15148(7)])]. given #379 (F,wt=23): 15765 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y)))) = y # label(false). [back_rewrite(12967),rewrite([15148(5),15148(8),15203(8),15148(9),15148(12),15203(12),15148(7)])]. given #380 (F,wt=23): 15776 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y)))) = y # label(false). [back_rewrite(12884),rewrite([15148(3),15148(5),15203(5),15148(2),15148(4),15203(4),15148(7)])]. given #381 (T,wt=11): 10040 f(f(x,x),f(f(x,y),c_0)) = c_0. [back_rewrite(7746),rewrite([9222(4),9222(7)])]. given #382 (T,wt=11): 10044 f(f(f(x,y),c_0),f(x,x)) = c_0. [back_rewrite(7742),rewrite([9222(3),9222(7)])]. given #383 (T,wt=11): 10786 f(f(x,x),f(c_0,f(x,y))) = c_0. [back_rewrite(2631),rewrite([9222(3),9222(7)])]. given #384 (T,wt=11): 10787 f(f(x,x),f(c_0,f(y,x))) = c_0. [back_rewrite(2629),rewrite([9222(3),9222(7)])]. given #385 (A,wt=37): 9743 f(f(x,x),f(f(f(c_0,f(f(x,x),y)),f(c_0,f(x,z))),f(f(f(x,z),f(f(x,x),y)),f(x,x)))) = f(f(x,x),y). [back_rewrite(7740),rewrite([9221(6),9222(3),9222(7)])]. given #386 (F,wt=25): 15643 f(x,f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y))))) = f(x,y) # label(false). [back_rewrite(13778),rewrite([15148(6),15148(8),15203(8),15148(5),15148(7),15203(7),15148(9),15148(11),15203(11),15148(8),15148(10),15203(10),15148(7)])]. given #387 (F,wt=25): 15658 f(x,f(f(f(c_0,f(y,x)),z),f(c_0,f(f(z,f(x,z)),f(y,x))))) = f(y,x) # label(false). [back_rewrite(13682),rewrite([15148(6),15148(8),15203(8),15148(5),15148(7),15203(7),15148(9),15148(11),15203(11),15148(8),15148(10),15203(10),15148(7)])]. given #388 (F,wt=25): 15728 f(x,f(f(f(c_0,f(y,x)),z),f(f(f(z,f(x,z)),f(y,x)),x))) = f(y,x) # label(false). [back_rewrite(13096),rewrite([15148(9),15148(14),15203(14),15148(10),15148(15),15203(15),15148(6)])]. given #389 (F,wt=25): 15820 f(x,f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(12638),rewrite([15148(9),15148(14),15203(14),15148(10),15148(15),15203(15),15148(6)])]. given #390 (T,wt=11): 10791 f(x,f(c_0,f(x,y))) = f(x,y). [back_rewrite(2617),rewrite([9222(2)])]. given #391 (T,wt=11): 10793 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(2615),rewrite([9222(2)])]. given #392 (T,wt=11): 10812 f(x,f(c_0,f(y,f(x,x)))) = c_0. [back_rewrite(2026),rewrite([9222(2),9222(7)])]. given #393 (T,wt=11): 10813 f(x,f(c_0,f(f(x,x),y))) = c_0. [back_rewrite(1832),rewrite([9222(2),9222(7)])]. given #394 (A,wt=37): 9802 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)),f(x,x)))) = f(f(x,x),y). [back_rewrite(702),rewrite([9221(6),9222(3)])]. given #395 (F,wt=27): 18914 f(f(x,y),f(y,f(f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y))),y))) = y # label(false). [back_rewrite(18902),rewrite([18910(9)])]. given #396 (F,wt=27): 18915 f(f(x,y),f(x,f(f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x))),x))) = x # label(false). [back_rewrite(18891),rewrite([18910(9)])]. given #397 (F,wt=27): 19010 f(f(c_0,f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))))),f(z,x)) = c_0 # label(false). [back_rewrite(17131),rewrite([18910(12)])]. given #398 (F,wt=27): 19011 f(f(c_0,f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))))),f(z,x)) = c_0 # label(false). [back_rewrite(17130),rewrite([18910(12)])]. given #399 (T,wt=11): 10913 f(c_0,f(c_0,f(x,y))) = f(x,y). [back_rewrite(9495),rewrite([9813(8),9839(4,R)])]. given #400 (T,wt=11): 12075 f(f(c_0,f(x,y)),x) = f(x,y). [back_rewrite(662),rewrite([9839(3,R)])]. given #401 (T,wt=11): 12078 f(f(c_0,f(x,y)),y) = f(x,y). [back_rewrite(657),rewrite([9839(3,R)])]. given #402 (T,wt=11): 14324 f(f(c_0,f(f(x,x),y)),x) = c_0. [para(9899(a,1),10010(a,1,1)),rewrite([9839(5,R)])]. given #403 (A,wt=37): 9803 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)),f(x,x)))) = f(f(x,x),y). [back_rewrite(673),rewrite([9221(6),9222(3)])]. given #404 (F,wt=27): 19012 f(f(c_0,f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))))),f(x,z)) = c_0 # label(false). [back_rewrite(17129),rewrite([18910(12)])]. given #405 (F,wt=27): 19081 f(f(x,y),f(c_0,f(y,f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y)))))) = c_0 # label(false). [back_rewrite(17041),rewrite([18910(13)])]. given #406 (F,wt=27): 19082 f(f(x,y),f(c_0,f(y,f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y)))))) = c_0 # label(false). [back_rewrite(17038),rewrite([18910(13)])]. given #407 (F,wt=27): 19085 f(f(x,y),f(c_0,f(x,f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))))) = c_0 # label(false). [back_rewrite(17035),rewrite([18910(13)])]. given #408 (T,wt=11): 15008 f(f(c_0,f(x,f(y,y))),y) = c_0. [para(9899(a,1),10021(a,1,1)),rewrite([9839(5,R)])]. given #409 (T,wt=11): 15042 f(f(c_0,f(x,y)),f(x,x)) = c_0. [para(543(a,1),10027(a,1,2,1)),rewrite([9839(3,R),9899(5)])]. given #410 (T,wt=11): 15043 f(f(c_0,f(x,y)),f(y,y)) = c_0. [para(544(a,1),10027(a,1,2,1)),rewrite([9839(3,R),9899(5)])]. given #411 (T,wt=11): 15147 f(f(x,y),x) = f(x,f(x,y)). [back_rewrite(11188),rewrite([15042(6),10793(5)])]. given #412 (A,wt=41): 9998 f(f(f(f(c_0,f(x,f(y,y))),f(c_0,f(y,z))),f(f(f(y,z),f(x,f(y,y))),f(y,y))),f(c_0,f(x,f(y,y)))) = f(x,f(y,y)). [back_rewrite(7810),rewrite([9839(5,R),9222(6),9839(20,R)])]. given #413 (F,wt=29): 15796 f(f(f(f(x,y),f(y,x)),x),f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))) = x # label(false). [back_rewrite(12805),rewrite([15148(3),15148(5),15203(5),15148(10)])]. given #414 (F,wt=29): 17439 f(f(f(x,x),y),f(f(x,z),f(c_0,f(f(z,f(f(f(x,x),y),z)),f(x,x))))) = f(x,x) # label(false). [back_rewrite(13014),rewrite([15148(8)])]. given #415 (F,wt=29): 17475 f(f(x,f(y,y)),f(f(y,z),f(c_0,f(f(z,f(f(x,f(y,y)),z)),f(y,y))))) = f(y,y) # label(false). [back_rewrite(12951),rewrite([15148(8)])]. given #416 (F,wt=29): 17578 f(f(x,f(y,y)),f(f(y,z),f(c_0,f(f(z,f(f(f(y,y),x),z)),f(y,y))))) = f(y,y) # label(false). [back_rewrite(12742),rewrite([15148(8)])]. given #417 (T,wt=11): 15148 f(f(x,y),y) = f(y,f(x,y)). [back_rewrite(11153),rewrite([15042(6),10793(5)])]. given #418 (T,wt=11): 15153 f(f(x,y),f(x,f(x,y))) = x. [back_rewrite(10967),rewrite([15042(5),15147(4),7716(4),12075(4),15147(3),7716(4),15147(3)])]. given #419 (T,wt=11): 15203 f(f(x,y),f(y,f(x,y))) = y. [back_rewrite(10968),rewrite([15043(5),15147(4),7717(4),12078(4),15148(3),7717(4),15148(3)])]. given #420 (T,wt=11): 15320 f(f(x,y),f(y,f(y,x))) = y. [back_rewrite(14755),rewrite([15147(4),15147(5),7716(5),15147(4),15106(8),15147(3)])]. given #421 (A,wt=41): 9999 f(f(f(f(c_0,f(x,f(y,y))),f(c_0,f(z,y))),f(f(f(z,y),f(x,f(y,y))),f(y,y))),f(c_0,f(x,f(y,y)))) = f(x,f(y,y)). [back_rewrite(7809),rewrite([9839(5,R),9222(6),9839(20,R)])]. given #422 (F,wt=29): 19008 f(f(c_0,f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)))),x) = c_0 # label(false). [back_rewrite(17133),rewrite([18910(14)])]. given #423 (F,wt=29): 19014 f(f(c_0,f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(z,f(y,z)),f(x,y)),y)))),y) = c_0 # label(false). [back_rewrite(17127),rewrite([18910(14)])]. given #424 (F,wt=29): 19017 f(f(c_0,f(f(x,y),f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(y,z)),f(x,y)))))),y) = c_0 # label(false). [back_rewrite(17123),rewrite([18910(11),18910(15)])]. given #425 (F,wt=29): 19019 f(f(c_0,f(f(x,y),f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))))),x) = c_0 # label(false). [back_rewrite(17121),rewrite([18910(11),18910(15)])]. given #426 (T,wt=11): 15610 f(x,f(c_0,f(y,f(x,y)))) = c_0. [back_rewrite(13955),rewrite([15148(4),15147(7),10913(7)])]. given #427 (T,wt=11): 17126 f(f(c_0,f(x,f(y,x))),y) = c_0. [back_rewrite(13932),rewrite([15148(3)])]. given #428 (T,wt=11): 18622 f(f(x,y),f(c_0,f(x,y))) = c_0. [back_rewrite(10723),rewrite([17406(9),15043(5)]),flip(a)]. given #429 (T,wt=11): 18910 f(f(x,y),c_0) = f(c_0,f(x,y)). [para(10786(a,1),544(a,1,2)),rewrite([9839(7,R),10913(5)])]. given #430 (A,wt=35): 10002 f(f(f(f(c_0,f(x,y)),f(c_0,f(z,f(y,y)))),f(f(f(z,f(y,y)),f(x,y)),y)),f(c_0,f(x,y))) = f(x,y). [back_rewrite(7806),rewrite([9839(3,R),9222(5),9839(17,R)])]. given #431 (F,wt=29): 19077 f(x,f(c_0,f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x))))) = c_0 # label(false). [back_rewrite(17047),rewrite([18910(14)])]. given #432 (F,wt=29): 19087 f(x,f(c_0,f(f(y,x),f(f(f(c_0,f(y,x)),z),f(f(f(z,f(x,z)),f(y,x)),x))))) = c_0 # label(false). [back_rewrite(17033),rewrite([18910(14)])]. given #433 (F,wt=29): 19090 f(x,f(c_0,f(f(y,x),f(f(f(c_0,f(y,x)),z),f(c_0,f(f(z,f(x,z)),f(y,x))))))) = c_0 # label(false). [back_rewrite(17030),rewrite([18910(11),18910(15)])]. given #434 (F,wt=29): 19092 f(x,f(c_0,f(f(x,y),f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y))))))) = c_0 # label(false). [back_rewrite(17028),rewrite([18910(11),18910(15)])]. given #435 (T,wt=11): 19165 f(f(c_0,f(x,y)),f(y,x)) = c_0. [back_rewrite(15611),rewrite([18910(3)])]. given #436 (T,wt=11): 19204 f(f(x,y),f(c_0,f(y,x))) = c_0. [back_rewrite(15559),rewrite([18910(4)])]. given #437 (T,wt=11): 20264 f(f(x,y),f(x,f(y,x))) = x. [para(19204(a,1),15747(a,1,2,2,2,1,2)),rewrite([10787(6),15147(8),10913(8),15148(5),10913(7)])]. given #438 (T,wt=13): 16436 f(x,f(f(x,y),f(y,x))) = f(x,y). [back_rewrite(8555),rewrite([15147(2),15148(4),15153(4),15148(4),15148(6),15203(6),15148(3),15148(5),15203(5)])]. given #439 (A,wt=35): 10003 f(f(f(f(c_0,f(x,y)),f(c_0,f(f(y,y),z))),f(f(f(f(y,y),z),f(x,y)),y)),f(c_0,f(x,y))) = f(x,y). [back_rewrite(7805),rewrite([9839(3,R),9222(5),9839(17,R)])]. given #440 (F,wt=27): 20218 f(f(c_0,f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))),f(x,z))),x) = c_0 # label(false). [para(15747(a,1),19165(a,1,2))]. given #441 (F,wt=27): 20220 f(f(c_0,f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))),f(z,x))),x) = c_0 # label(false). [para(15765(a,1),19165(a,1,2))]. given #442 (F,wt=27): 20222 f(f(c_0,f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))),f(z,x))),x) = c_0 # label(false). [para(15776(a,1),19165(a,1,2))]. given #443 (F,wt=27): 20265 f(x,f(c_0,f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))),f(x,z)))) = c_0 # label(false). [para(15747(a,1),19204(a,1,1))]. given #444 (T,wt=15): 12170 f(f(x,f(y,z)),f(c_0,f(y,z))) = f(y,z). [back_rewrite(9725),rewrite([12075(7),9839(5,R)])]. given #445 (T,wt=15): 15155 f(x,f(c_0,f(f(x,f(x,y)),y))) = f(x,y). [back_rewrite(10934),rewrite([15147(2),7716(3),15147(2),15148(4),15153(4),15042(5)])]. given #446 (T,wt=15): 16414 f(x,f(f(y,f(x,y)),f(y,x))) = f(y,x). [back_rewrite(8676),rewrite([15148(2),7717(3),15148(2),15148(4),15203(4),15148(2)])]. given #447 (T,wt=15): 18625 f(f(f(x,y),z),f(c_0,f(x,y))) = f(x,y). [back_rewrite(10284),rewrite([18622(10),12078(7),9839(5,R)])]. given #448 (A,wt=31): 10005 f(x,f(f(f(c_0,f(x,y)),f(c_0,f(f(x,x),z))),f(f(f(f(x,x),z),f(x,y)),x))) = f(x,y). [back_rewrite(7791),rewrite([9839(3,R),9222(5)])]. given #449 (F,wt=27): 20267 f(x,f(c_0,f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))),f(z,x)))) = c_0 # label(false). [para(15765(a,1),19204(a,1,1))]. given #450 (F,wt=27): 20269 f(x,f(c_0,f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))),f(z,x)))) = c_0 # label(false). [para(15776(a,1),19204(a,1,1))]. given #451 (F,wt=29): 20227 f(f(c_0,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x)),f(x,y)) = c_0 # label(false). [para(15643(a,1),19165(a,1,2))]. given #452 (F,wt=29): 20230 f(f(c_0,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(y,z)),f(x,y)))),y)),f(x,y)) = c_0 # label(false). [para(15658(a,1),19165(a,1,2))]. given #453 (T,wt=15): 20252 f(f(x,x),f(f(x,f(x,y)),f(y,x))) = c_0. [para(15320(a,1),19165(a,1,1,2)),rewrite([9839(2)])]. given #454 (T,wt=15): 20253 f(f(c_0,f(f(x,f(x,y)),f(y,x))),x) = c_0. [para(15320(a,1),19165(a,1,2))]. given #455 (T,wt=15): 20301 f(x,f(c_0,f(f(x,f(x,y)),f(y,x)))) = c_0. [para(15320(a,1),19204(a,1,1))]. given #456 (T,wt=15): 20302 f(f(f(x,f(x,y)),f(y,x)),f(x,x)) = c_0. [para(15320(a,1),19204(a,1,2,2)),rewrite([9839(6)])]. given #457 (A,wt=31): 10006 f(x,f(f(f(c_0,f(y,x)),f(c_0,f(f(x,x),z))),f(f(f(f(x,x),z),f(y,x)),x))) = f(y,x). [back_rewrite(7790),rewrite([9839(3,R),9222(5)])]. given #458 (F,wt=29): 20233 f(f(c_0,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(y,z)),f(x,y)),y)),y)),f(x,y)) = c_0 # label(false). [para(15728(a,1),19165(a,1,2))]. given #459 (F,wt=29): 20236 f(f(c_0,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)),x)),f(x,y)) = c_0 # label(false). [para(15820(a,1),19165(a,1,2))]. given #460 (F,wt=29): 20274 f(f(x,y),f(c_0,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x))) = c_0 # label(false). [para(15643(a,1),19204(a,1,1))]. given #461 (F,wt=29): 20277 f(f(x,y),f(c_0,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(y,z)),f(x,y)))),y))) = c_0 # label(false). [para(15658(a,1),19204(a,1,1))]. given #462 (T,wt=15): 20356 f(f(x,x),f(f(x,f(y,x)),f(x,y))) = c_0. [para(20264(a,1),19165(a,1,1,2)),rewrite([9839(2)])]. given #463 (T,wt=15): 20357 f(f(c_0,f(f(x,f(y,x)),f(x,y))),x) = c_0. [para(20264(a,1),19165(a,1,2))]. given #464 (T,wt=15): 20358 f(x,f(c_0,f(f(x,f(y,x)),f(x,y)))) = c_0. [para(20264(a,1),19204(a,1,1))]. given #465 (T,wt=15): 20359 f(f(f(x,f(y,x)),f(x,y)),f(x,x)) = c_0. [para(20264(a,1),19204(a,1,2,2)),rewrite([9839(6)])]. given #466 (A,wt=39): 10013 f(f(f(f(c_0,f(x,y)),f(c_0,f(f(y,y),z))),f(f(f(f(y,y),z),f(x,y)),f(f(x,y),u))),f(c_0,f(x,y))) = f(x,y). [back_rewrite(7783),rewrite([9839(3,R),9222(5),9839(19,R)])]. given #467 (F,wt=29): 20280 f(f(x,y),f(c_0,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(y,z)),f(x,y)),y)),y))) = c_0 # label(false). [para(15728(a,1),19204(a,1,1))]. given #468 (F,wt=29): 20283 f(f(x,y),f(c_0,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)),x))) = c_0 # label(false). [para(15820(a,1),19204(a,1,1))]. given #469 (F,wt=29): 20322 f(f(x,y),f(x,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x))) = x # label(false). [para(15643(a,1),20264(a,1,1))]. given #470 (F,wt=29): 20324 f(f(x,y),f(y,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(y,z)),f(x,y)))),y))) = y # label(false). [para(15658(a,1),20264(a,1,1))]. given #471 (T,wt=15): 20594 f(f(c_0,f(x,y)),f(f(x,y),z)) = f(x,y). [para(12170(a,1),604(a,1,2,1)),rewrite([9839(13,R),10913(11)])]. given #472 (T,wt=15): 20595 f(f(c_0,f(x,y)),f(z,f(x,y))) = f(x,y). [para(12170(a,1),607(a,1,2,2)),rewrite([9839(13,R),10913(11)])]. given #473 (T,wt=15): 20600 f(f(x,y),f(c_0,f(f(c_0,f(x,y)),z))) = c_0. [para(12170(a,1),10786(a,1,1))]. given #474 (T,wt=15): 20601 f(f(c_0,f(x,f(y,z))),f(c_0,f(y,z))) = c_0. [para(12170(a,1),10786(a,1,2,2)),rewrite([9839(5,R)])]. given #475 (A,wt=31): 10016 f(x,f(f(f(c_0,f(x,y)),f(c_0,f(z,f(x,x)))),f(f(f(z,f(x,x)),f(x,y)),x))) = f(x,y). [back_rewrite(7777),rewrite([9839(3,R),9222(5)])]. given #476 (F,wt=29): 20326 f(f(x,y),f(y,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(y,z)),f(x,y)),y)),y))) = y # label(false). [para(15728(a,1),20264(a,1,1))]. given #477 (F,wt=29): 20328 f(f(x,y),f(x,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)),x))) = x # label(false). [para(15820(a,1),20264(a,1,1))]. given #478 (F,wt=29): 21250 f(f(c_0,f(f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,z))),f(x,z))),x) = c_0 # label(false). [para(543(a,1),20233(a,1,1,2,1,1,1,2)),rewrite([9839(3),543(9),543(16)])]. given #479 (F,wt=29): 21252 f(f(c_0,f(f(f(f(x,x),y),f(f(f(y,f(f(z,x),y)),x),f(z,x))),f(z,x))),x) = c_0 # label(false). [para(544(a,1),20233(a,1,1,2,1,1,1,2)),rewrite([9839(3),544(9),544(16)])]. given #480 (T,wt=15): 20602 f(f(x,y),f(c_0,f(z,f(c_0,f(x,y))))) = c_0. [para(12170(a,1),10787(a,1,1))]. given #481 (T,wt=15): 20605 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,y)))) = c_0. [para(12170(a,1),10812(a,1,2,2,2))]. given #482 (T,wt=15): 20606 f(f(c_0,f(x,y)),f(c_0,f(f(x,y),z))) = c_0. [para(12170(a,1),10813(a,1,2,2,1))]. given #483 (T,wt=15): 20610 f(f(c_0,f(f(x,y),z)),f(c_0,f(x,y))) = c_0. [para(12170(a,1),14324(a,1,1,2,1))]. given #484 (A,wt=31): 10017 f(x,f(f(f(c_0,f(y,x)),f(c_0,f(z,f(x,x)))),f(f(f(z,f(x,x)),f(y,x)),x))) = f(y,x). [back_rewrite(7776),rewrite([9839(3,R),9222(5)])]. given #485 (F,wt=29): 21331 f(f(x,y),f(y,f(f(f(f(c_0,f(y,x)),z),f(c_0,f(f(z,f(y,z)),f(y,x)))),y))) = y # label(false). [para(20274(a,1),15776(a,1,2,2,2,1,2)),rewrite([10787(17),15147(19),10913(19),15148(16),10913(18)])]. given #486 (F,wt=29): 21338 f(f(c_0,f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x)),f(y,x)) = c_0 # label(false). [para(20274(a,1),19010(a,1,1,2,2,2,2,1,2)),rewrite([10787(17),15147(19),10913(19),15148(16),10913(18),7717(15)])]. given #487 (F,wt=29): 21342 f(f(x,y),f(c_0,f(f(f(f(c_0,f(y,x)),z),f(c_0,f(f(z,f(y,z)),f(y,x)))),y))) = c_0 # label(false). [para(20274(a,1),19081(a,1,2,2,2,2,2,1,2)),rewrite([10787(18),15147(20),10913(20),15148(17),10913(19),7717(16)])]. given #488 (F,wt=29): 21653 f(x,f(c_0,f(f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,z))),f(x,z)))) = c_0 # label(false). [para(543(a,1),20280(a,1,1)),rewrite([543(5),9839(3),543(9)])]. given #489 (T,wt=15): 20616 f(f(c_0,f(f(c_0,f(x,y)),z)),f(x,y)) = c_0. [para(12170(a,1),15042(a,1,2))]. given #490 (T,wt=15): 20617 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,z)) = c_0. [para(12170(a,1),15043(a,1,2))]. given #491 (T,wt=15): 20661 f(f(f(x,f(x,y)),y),f(c_0,f(x,y))) = c_0. [para(15155(a,1),10787(a,1,2,2)),rewrite([9839(11,R),10913(7)])]. given #492 (T,wt=15): 20699 f(f(c_0,f(x,y)),f(f(x,f(x,y)),y)) = c_0. [para(15155(a,1),15043(a,1,1,2)),rewrite([9839(14,R),10913(10)])]. given #493 (A,wt=39): 10024 f(f(f(f(c_0,f(x,y)),f(c_0,f(z,f(y,y)))),f(f(f(z,f(y,y)),f(x,y)),f(f(x,y),u))),f(c_0,f(x,y))) = f(x,y). [back_rewrite(7769),rewrite([9839(3,R),9222(5),9839(19,R)])]. given #494 (F,wt=29): 21655 f(x,f(c_0,f(f(f(f(x,x),y),f(f(f(y,f(f(z,x),y)),x),f(z,x))),f(z,x)))) = c_0 # label(false). [para(544(a,1),20280(a,1,1)),rewrite([544(5),9839(3),544(9)])]. given #495 (F,wt=29): 21705 f(f(x,y),f(y,f(f(f(f(c_0,f(y,x)),z),f(f(f(z,f(y,z)),f(y,x)),y)),y))) = y # label(false). [para(20283(a,1),15776(a,1,2,2,2,1,2)),rewrite([10787(16),15147(18),10913(18),15148(15),10913(17)])]. given #496 (F,wt=29): 21709 f(f(c_0,f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)),x)),f(y,x)) = c_0 # label(false). [para(20283(a,1),19010(a,1,1,2,2,2,2,1,2)),rewrite([10787(16),15147(18),10913(18),15148(15),10913(17),7717(14)])]. given #497 (F,wt=29): 21713 f(f(x,y),f(c_0,f(f(f(f(c_0,f(y,x)),z),f(f(f(z,f(y,z)),f(y,x)),y)),y))) = c_0 # label(false). [para(20283(a,1),19081(a,1,2,2,2,2,2,1,2)),rewrite([10787(17),15147(19),10913(19),15148(16),10913(18),7717(15)])]. given #498 (T,wt=15): 22535 f(f(f(x,f(x,y)),y),x) = f(x,f(x,y)). [para(20661(a,1),15747(a,1,2,2,2,1,2)),rewrite([9839(8,R),20601(11),15147(10),10913(10),15153(9),9839(6),9849(6)])]. given #499 (T,wt=15): 22537 f(f(f(x,f(x,y)),y),f(y,f(x,y))) = y. [para(20661(a,1),15765(a,1,2,2,2,1,2)),rewrite([10787(8),15147(10),10913(10),15148(7),10913(9)])]. given #500 (T,wt=15): 22539 f(f(x,f(y,f(y,x))),y) = f(y,f(y,x)). [para(20661(a,1),15776(a,1,2,2,2,1,2)),rewrite([9839(8,R),20601(11),15147(10),10913(10),15153(9),9839(6),9849(6)])]. given #501 (T,wt=15): 22550 f(f(c_0,f(x,y)),f(y,f(x,f(x,y)))) = c_0. [para(20661(a,1),19010(a,1,1,2,2,2,2,1,2)),rewrite([9839(8,R),20601(11),15147(10),10913(10),15153(9),9839(6),9849(6),15147(4),7716(4)])]. given #502 (A,wt=37): 10032 f(f(x,x),f(f(f(c_0,f(y,f(x,x))),f(c_0,f(z,x))),f(f(f(z,x),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [back_rewrite(7758),rewrite([9839(6,R),9222(7)])]. given #503 (F,wt=31): 15774 f(f(f(f(x,f(y,x)),f(x,y)),y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y)))) = y # label(false). [back_rewrite(12886),rewrite([15148(3),15147(8),7717(8),15148(11)])]. given #504 (F,wt=31): 18618 f(x,f(f(x,y),f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x))) = f(x,y) # label(false). [back_rewrite(15651),rewrite([17174(16)])]. given #505 (F,wt=31): 18619 f(x,f(f(y,x),f(f(f(f(c_0,f(y,x)),z),f(c_0,f(f(z,f(x,z)),f(y,x)))),x))) = f(y,x) # label(false). [back_rewrite(15666),rewrite([17224(16)])]. given #506 (F,wt=31): 18690 f(x,f(f(x,y),f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)),x))) = f(x,y) # label(false). [back_rewrite(15905),rewrite([17992(15)])]. given #507 (T,wt=15): 22552 f(f(x,f(y,f(y,x))),f(c_0,f(y,x))) = c_0. [para(20661(a,1),19081(a,1,2,2,2,2,2,1,2)),rewrite([9839(11,R),20601(14),15147(13),10913(13),15153(12),9839(9),9849(9),15147(7),7716(7)])]. given #508 (T,wt=15): 22974 f(f(x,f(f(x,f(x,y)),y)),f(x,y)) = x. [para(22535(a,1),20264(a,1,2,2)),rewrite([7716(7)])]. given #509 (T,wt=15): 23179 f(f(x,f(y,f(x,f(x,y)))),f(x,y)) = x. [para(22539(a,1),20264(a,1,2,2)),rewrite([7716(7)])]. given #510 (T,wt=15): 23616 f(f(x,f(y,f(y,x))),f(x,f(y,x))) = x. [para(22552(a,1),15747(a,1,2,2,2,1,2)),rewrite([10787(8),15147(10),10913(10),15148(7),10913(9)])]. given #511 (A,wt=37): 10045 f(f(x,x),f(f(f(c_0,f(y,f(x,x))),f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [back_rewrite(7741),rewrite([9839(6,R),9222(7)])]. given #512 (F,wt=31): 18704 f(x,f(f(y,x),f(f(f(f(c_0,f(y,x)),z),f(f(f(z,f(x,z)),f(y,x)),x)),x))) = f(y,x) # label(false). [back_rewrite(15906),rewrite([17993(15)])]. given #513 (F,wt=31): 19003 f(f(f(x,f(f(y,f(z,f(x,z))),x)),f(z,f(x,z))),f(y,f(z,f(x,z)))) = f(z,f(x,z)) # label(false). [back_rewrite(17138),rewrite([18910(5),10913(6),18910(10),10913(11),18910(13),10913(14),18910(17),10913(18)])]. given #514 (F,wt=31): 19072 f(f(x,y),f(f(f(c_0,f(z,f(f(y,y),z))),f(f(x,y),f(c_0,f(z,f(f(y,y),z))))),y)) = y # label(false). [back_rewrite(17052),rewrite([18910(7),18910(13),18910(18),10913(19)])]. given #515 (F,wt=31): 19073 f(f(x,y),f(f(f(y,y),f(c_0,f(z,f(f(x,y),z)))),f(c_0,f(f(z,f(f(x,y),z)),y)))) = y # label(false). [back_rewrite(17051),rewrite([18910(7),18910(14),10913(15),18910(14)])]. given #516 (T,wt=17): 15163 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,z)))) = y. [back_rewrite(11974),rewrite([15043(5),15147(4),7717(4),12078(4),15148(4)])]. given #517 (T,wt=15): 24176 f(f(f(x,f(y,x)),f(x,z)),f(x,x)) = c_0. [para(15163(a,1),10787(a,1,2,2)),rewrite([9839(13,R),10913(8),9839(6)])]. given #518 (T,wt=13): 24326 f(f(f(x,y),f(x,z)),f(x,x)) = c_0. [para(15147(a,1),24176(a,1,1,1,2)),rewrite([7716(3)])]. given #519 (T,wt=13): 24330 f(f(f(x,y),f(y,z)),f(y,y)) = c_0. [para(15148(a,1),24176(a,1,1,1,2)),rewrite([7717(3)])]. given #520 (A,wt=41): 10859 f(f(f(f(c_0,f(x,f(y,y))),f(z,y)),f(f(f(y,f(z,y)),f(x,f(y,y))),f(y,y))),f(c_0,f(x,f(y,y)))) = f(x,f(y,y)). [back_rewrite(7798),rewrite([9839(5,R),9839(19,R)])]. given #521 (F,wt=31): 19074 f(f(x,y),f(f(f(c_0,f(z,f(f(y,y),z))),f(f(y,x),f(c_0,f(z,f(f(y,y),z))))),y)) = y # label(false). [back_rewrite(17050),rewrite([18910(7),18910(13),18910(18),10913(19)])]. given #522 (F,wt=31): 19075 f(f(x,y),f(f(f(y,y),f(c_0,f(z,f(f(y,x),z)))),f(c_0,f(f(z,f(f(y,x),z)),y)))) = y # label(false). [back_rewrite(17049),rewrite([18910(7),18910(14),10913(15),18910(14)])]. given #523 (F,wt=31): 19076 f(x,f(f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))),f(f(f(z,f(x,z)),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(17048),rewrite([18910(7),18910(13),10913(14)])]. % Operation f is commutative; C redundancy checks enabled. given #524 (F,wt=23): 24650 f(f(x,y),f(f(z,f(x,x)),f(c_0,f(x,f(z,f(z,f(x,y))))))) = x # label(false). [para(19076(a,1),15774(a,1,1,1,1,2)),rewrite([24613(12),24613(13),24613(14),24613(16),24613(28),24613(29),24613(30),24613(31),24620(31),24613(18),24613(19),24634(19),24613(3),24613(16),24613(17),24613(18),24613(19),24620(19),24613(6),24613(8)])]. given #525 (T,wt=7): 24613 f(x,y) = f(y,x). [para(15148(a,1),19076(a,1,2,2,1)),rewrite([20605(8),15203(5),10793(4)])]. given #526 (T,wt=11): 24622 f(x,f(c_0,f(y,f(y,x)))) = c_0. [para(17126(a,1),19076(a,2)),rewrite([24613(2),24613(7),24613(10),24613(14),24613(17),24613(22),24613(25),24613(28),24613(31),24613(32),24613(34),24613(37),24621(37),24613(26),20592(26),10793(12)])]. given #527 (T,wt=13): 24366 f(f(x,x),f(f(x,y),f(x,z))) = c_0. [para(24326(a,1),19010(a,1,1,2,2,2,2,1,2)),rewrite([9839(5,R),15042(7),18910(7),9849(7),10913(8),15153(5),9839(2)])]. given #528 (T,wt=13): 24746 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [back_rewrite(24408),rewrite([24613(2),24613(5)])]. given #529 (A,wt=17): 18578 f(x,f(f(x,y),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(7880),rewrite([15153(5),9222(3)])]. given #530 (F,wt=23): 24966 f(f(x,y),f(f(z,f(y,y)),f(c_0,f(y,f(z,f(z,f(x,y))))))) = y # label(false). [back_rewrite(23410),rewrite([24613(2),24613(5),15153(5),24613(2),24613(3),24613(6),15153(6),24613(4),15153(4),24613(3),24613(6),24613(8)])]. given #531 (F,wt=25): 24694 f(x,f(f(y,f(c_0,f(x,z))),f(c_0,f(f(x,z),f(y,f(x,y)))))) = f(x,z) # label(false). [back_rewrite(24537),rewrite([24613(4),24613(10),24613(12),24613(14),24613(15),24613(16),24662(16),24613(2),24613(4),24613(8),24613(9),24613(13)])]. given #532 (F,wt=25): 24980 f(x,f(f(y,f(c_0,f(z,x))),f(c_0,f(f(z,x),f(y,f(x,y)))))) = f(z,x) # label(false). [back_rewrite(23368),rewrite([24613(4),24613(5),15203(5),24613(2),24613(3),24613(4),15203(4),24613(2),24613(4),24613(8),24613(9),15203(9),24613(8),24613(9),24613(13)])]. given #533 (F,wt=25): 25641 f(x,f(f(y,f(c_0,f(x,z))),f(x,f(f(x,z),f(y,f(x,y)))))) = f(x,z) # label(false). [back_rewrite(18829),rewrite([24613(2),24613(4),24613(6),24613(8),24613(11),24613(14),25638(14),24613(4),24613(8),24613(9)])]. given #534 (T,wt=11): 26177 f(x,f(c_0,f(y,x))) = f(y,x). [para(24966(a,1),543(a,1,2)),rewrite([9899(3,R),24613(3),24613(4)])]. given #535 (T,wt=11): 26178 f(f(x,x),f(c_0,f(y,x))) = c_0. [para(24966(a,1),10786(a,1,2,2)),rewrite([9899(3,R),24613(3),24613(5),9899(5),24613(5)])]. given #536 (T,wt=11): 26180 f(x,f(x,f(y,x))) = f(y,x). [para(24966(a,1),15153(a,1,2,2)),rewrite([24966(11),24613(2)])]. given #537 (T,wt=13): 26164 f(f(c_0,c_0),f(f(x,y),f(z,z))) = c_0. [para(10913(a,1),24366(a,1,2,1)),rewrite([24613(6),9899(6)])]. given #538 (A,wt=21): 18865 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(16219),rewrite([18622(6)])]. given #539 (F,wt=25): 26094 f(x,f(f(y,f(c_0,f(z,x))),f(x,f(f(z,x),f(y,f(x,y)))))) = f(z,x) # label(false). [back_rewrite(15725),rewrite([24613(4),24613(8),24613(9),24613(14),24613(18),24613(19),24613(21),24613(24),24970(24),24613(11)])]. given #540 (F,wt=25): 26150 f(x,f(f(y,f(c_0,f(x,z))),f(x,f(f(y,f(y,x)),f(x,z))))) = f(x,z) # label(false). [back_rewrite(25801),rewrite([24613(6),24613(8),26013(21),24613(11)])]. given #541 (F,wt=25): 26188 f(x,f(f(y,f(c_0,f(x,z))),f(c_0,f(f(y,f(y,x)),f(x,z))))) = f(x,z) # label(false). [para(24694(a,1),24613(a,2)),rewrite([24613(7),24613(9),24613(12)])]. given #542 (F,wt=25): 26195 f(x,f(f(y,f(c_0,f(z,x))),f(c_0,f(f(y,f(y,x)),f(z,x))))) = f(z,x) # label(false). [para(24980(a,1),24613(a,2)),rewrite([24613(7),24613(9),24613(12)])]. given #543 (T,wt=13): 26211 f(f(c_0,c_0),f(x,f(c_0,f(y,z)))) = c_0. [para(20602(a,1),26178(a,1,2,2)),rewrite([9899(13,R),24613(8),10913(8),24613(8)])]. given #544 (T,wt=13): 26216 f(f(c_0,c_0),f(f(x,y),f(z,u))) = c_0. [para(12170(a,1),26164(a,1,2,2))]. given #545 (T,wt=15): 24727 f(x,f(f(y,f(x,x)),f(z,f(x,x)))) = c_0. [back_rewrite(24464),rewrite([24613(6)])]. given #546 (T,wt=15): 24747 f(f(x,f(y,f(x,z))),f(c_0,f(x,z))) = c_0. [back_rewrite(24407),rewrite([24613(3)])]. given #547 (A,wt=21): 18868 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(16195),rewrite([18622(6)])]. given #548 (F,wt=19): 26260 f(f(x,y),f(c_0,f(x,f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(25641(a,1),24747(a,1,1))]. given #549 (F,wt=19): 26261 f(f(x,y),f(c_0,f(y,f(f(x,y),f(z,f(y,z)))))) = c_0 # label(false). [para(26094(a,1),24747(a,1,1))]. given #550 (F,wt=19): 26273 f(x,f(c_0,f(f(x,y),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(11(a,1),26260(a,1,1)),rewrite([24613(2),24613(3),24613(5),543(5),24613(3),24613(4)])]. given #551 (F,wt=19): 26274 f(x,f(c_0,f(f(y,x),f(x,f(z,f(z,f(y,x))))))) = c_0 # label(false). [para(11(a,1),26260(a,1,2,2,2,1)),rewrite([11(3),24613(4)])]. given #552 (T,wt=15): 24748 f(f(x,f(y,f(z,x))),f(c_0,f(z,x))) = c_0. [back_rewrite(24405),rewrite([24613(3)])]. given #553 (T,wt=15): 24885 f(f(x,f(x,y)),f(x,f(y,f(x,y)))) = x. [back_rewrite(23907),rewrite([24613(1),24613(4),15153(4),24613(5),24613(8),15153(8),24613(5),24613(6),24613(7),24613(10),15153(10)])]. given #554 (T,wt=15): 24967 f(x,f(y,f(x,f(y,x)))) = f(x,f(y,x)). [back_rewrite(23408),rewrite([24613(1),24613(3),24613(5),24613(8),15153(8),24613(1),24613(4),24613(5)])]. given #555 (T,wt=15): 24971 f(f(x,f(y,x)),f(x,f(y,f(y,x)))) = x. [back_rewrite(23401),rewrite([24613(9),24613(10),15203(10),24613(3),24613(6)])]. given #556 (A,wt=17): 19321 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(14994),rewrite([18910(4)])]. given #557 (F,wt=25): 26199 f(f(x,y),f(f(z,f(y,y)),f(f(x,y),f(y,f(z,f(z,f(x,y))))))) = y # label(false). [para(11(a,1),25641(a,1,2,1,2,2)),rewrite([24613(3),9899(3),11(7),24613(6),11(14)])]. given #558 (F,wt=15): 26407 f(f(x,y),f(x,f(z,f(z,f(x,y))))) = x # label(false). [para(26199(a,1),24966(a,1,2,2,2,2,2)),rewrite([24613(3),24613(4),24613(10),24613(11),24613(12),24613(17),24613(18),9899(23,R),24613(18),10791(19),24613(17),24613(18),24613(23),24613(24),24613(25),24756(25),24613(19),26248(19),24613(11),25669(11),24613(1),24613(2)]),flip(a)]. given #559 (F,wt=15): 26415 f(x,f(f(x,y),f(z,f(x,z)))) = f(x,y) # label(false). [para(11(a,1),26407(a,1,1)),rewrite([24613(1),24613(2),24613(4),543(4),24613(2),24613(6)])]. given #560 (F,wt=15): 26416 f(x,f(f(y,x),f(z,f(x,z)))) = f(y,x) # label(false). [para(11(a,1),26407(a,1,2,2,2,2)),rewrite([11(3),24613(2)])]. given #561 (T,wt=13): 26378 f(x,f(c_0,f(f(x,x),f(y,y)))) = c_0. [para(607(a,1),19321(a,1,1,2)),rewrite([9849(3)])]. given #562 (T,wt=13): 26505 f(x,f(c_0,f(f(x,x),f(y,z)))) = c_0. [para(12170(a,1),26378(a,1,2,2,2))]. given #563 (T,wt=15): 25046 f(x,f(y,f(x,f(x,y)))) = f(x,f(x,y)). [back_rewrite(22984),rewrite([24613(1),24613(5),24613(6),15203(6),24613(3),24613(4),24613(5)])]. given #564 (T,wt=13): 26518 f(x,f(f(x,x),f(y,z))) = f(x,x). [para(26505(a,1),25046(a,1,2,2,2)),rewrite([9899(7),24613(7),10791(7),26505(10),9899(6)])]. given #565 (A,wt=31): 19885 f(f(x,f(y,y)),f(f(y,f(z,f(x,f(y,y)))),f(c_0,f(f(y,y),f(x,f(y,y)))))) = f(y,y). [para(15203(a,1),17475(a,1,2,2,2,1)),rewrite([15148(11)])]. given #566 (F,wt=15): 26420 f(f(x,y),f(y,f(z,f(z,f(x,y))))) = y # label(false). [para(24613(a,1),26407(a,1,1)),rewrite([24613(2)])]. given #567 (F,wt=19): 26417 f(f(x,y),f(c_0,f(x,f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(26407(a,1),15610(a,1,2,2,2)),rewrite([24613(7)])]. given #568 (F,wt=19): 26421 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(x,z)))) = c_0 # label(false). [para(26407(a,1),24622(a,1,2,2,2)),rewrite([24613(7)])]. given #569 (F,wt=19): 26452 f(x,f(c_0,f(f(x,y),f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(26415(a,1),15610(a,1,2,2,2)),rewrite([24613(7)])]. given #570 (T,wt=15): 25284 f(x,f(c_0,f(y,f(x,f(x,y))))) = f(x,y). [back_rewrite(20818),rewrite([24613(2),24613(6),24613(7),15203(7),24613(4),24613(7)])]. given #571 (T,wt=15): 26156 f(x,f(c_0,f(y,f(x,f(y,x))))) = f(y,x). [back_rewrite(26104),rewrite([24613(2),24613(6),24613(9),24613(10),25981(13),24613(6),24613(7)])]. given #572 (T,wt=15): 26376 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,z))) = c_0. [para(11(a,1),19321(a,1,2,2,2))]. given #573 (T,wt=15): 26377 f(f(x,x),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(11(a,1),19321(a,1,2,2)),rewrite([9899(4,R),24613(4),24613(8),9899(8),24613(8)])]. given #574 (A,wt=17): 20593 f(f(x,y),f(z,f(c_0,f(x,y)))) = f(c_0,f(x,y)). [para(12170(a,1),544(a,1,1))]. given #575 (F,wt=19): 26456 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(z,f(x,z)))) = c_0 # label(false). [para(26415(a,1),24622(a,1,2,2,2)),rewrite([24613(9)])]. given #576 (F,wt=19): 26492 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(z,f(x,z)))) = c_0 # label(false). [para(26416(a,1),24622(a,1,2,2,2)),rewrite([24613(9)])]. given #577 (F,wt=19): 26544 f(f(x,y),f(c_0,f(y,f(y,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(26420(a,1),15610(a,1,2,2,2)),rewrite([24613(7)])]. given #578 (F,wt=19): 26561 f(x,f(c_0,f(f(y,x),f(f(y,x),f(z,f(x,z)))))) = c_0 # label(false). [para(11(a,1),26417(a,1,2,2,2,2,2,2)),rewrite([11(3),24613(4)])]. given #579 (T,wt=15): 26396 f(f(x,y),f(y,f(z,f(c_0,f(x,y))))) = y. [back_rewrite(25525),rewrite([26377(16),24613(10),10913(10),7716(8)])]. given #580 (T,wt=15): 26451 f(x,f(f(x,y),f(z,f(x,x)))) = f(x,y). [para(10812(a,1),26415(a,1,2,2,2)),rewrite([24613(7),10913(7)])]. given #581 (T,wt=15): 26641 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,y)))) = c_0. [para(11(a,1),26376(a,1,1,2,2)),rewrite([24613(6)])]. given #582 (T,wt=15): 26642 f(f(x,x),f(c_0,f(y,f(c_0,f(x,z))))) = c_0. [para(15153(a,1),26376(a,1,2,2)),rewrite([9899(4,R),24613(4),24613(8),9899(8),24613(8)])]. given #583 (A,wt=31): 23159 f(f(f(x,x),f(y,f(y,f(x,x)))),f(f(x,y),f(c_0,f(f(x,x),f(y,f(x,x)))))) = f(x,x). [para(22539(a,1),17439(a,1,2,2,2,1,2)),rewrite([7716(11),15148(11)])]. given #584 (F,wt=19): 26569 f(f(x,f(y,f(y,f(x,f(x,z))))),f(c_0,f(x,z))) = c_0 # label(false). [para(7716(a,1),26421(a,1,2,2))]. given #585 (F,wt=19): 26578 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(z,f(x,z)))) = c_0 # label(false). [para(24885(a,1),26421(a,1,1,2,2,2)),rewrite([24613(3),24885(14),24613(9),7716(9),24613(9)])]. given #586 (F,wt=19): 26694 f(f(x,f(y,f(y,f(z,x)))),f(c_0,f(x,f(z,x)))) = c_0 # label(false). [para(11(a,1),26456(a,1,1,2,2)),rewrite([24613(3),11(7),24613(6),24613(9)])]. given #587 (F,wt=19): 26708 f(f(c_0,f(x,y)),f(f(y,f(x,y)),f(z,f(y,z)))) = c_0 # label(false). [para(26180(a,1),26456(a,1,1,2))]. given #588 (T,wt=15): 26646 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,x)))) = c_0. [para(26376(a,1),24650(a,1,2,2,2,2,2)),rewrite([24613(11),543(11),24613(12),10913(12),10913(10)])]. given #589 (T,wt=15): 26663 f(f(x,y),f(x,f(z,f(c_0,f(x,y))))) = x. [back_rewrite(25520),rewrite([26642(16),24613(10),10913(10),7716(8)])]. given #590 (T,wt=15): 26672 f(x,f(c_0,f(y,f(c_0,f(z,f(x,x)))))) = c_0. [para(11(a,1),26377(a,1,1))]. given #591 (T,wt=15): 26944 f(f(c_0,c_0),f(x,f(y,f(c_0,f(z,x))))) = c_0. [para(26377(a,1),26694(a,1,1,2,2)),rewrite([24613(7),9849(7),24613(5),18622(17),24613(9)])]. given #592 (A,wt=25): 23311 f(f(c_0,f(x,f(x,y))),f(x,f(f(x,f(x,y)),f(y,f(x,f(x,y)))))) = c_0. [para(22539(a,1),22550(a,1,1,2)),rewrite([22539(11),15148(10)])]. given #593 (F,wt=19): 26728 f(f(x,x),f(f(x,y),f(z,f(z,f(x,f(x,y)))))) = c_0 # label(false). [para(7716(a,1),26492(a,1,1,2,2)),rewrite([24613(5),15153(5),24613(2),9899(2),7716(4),24613(5)])]. given #594 (F,wt=19): 26729 f(f(x,x),f(f(x,f(x,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(15153(a,1),26492(a,1,1,2)),rewrite([24613(2),9899(2),24613(5)])]. given #595 (F,wt=19): 26877 f(f(x,x),f(f(y,x),f(z,f(z,f(x,f(y,x)))))) = c_0 # label(false). [para(11(a,1),26569(a,1,1,2,2,2,2)),rewrite([24613(3),11(10),24613(8),9899(8),24613(8)])]. given #596 (F,wt=19): 26885 f(f(x,x),f(f(x,f(y,x)),f(z,f(z,f(y,x))))) = c_0 # label(false). [para(11(a,1),26578(a,1,2,1,2)),rewrite([11(4),24613(2),9899(2),24613(3),24613(5)])]. given #597 (T,wt=15): 26949 f(f(c_0,c_0),f(x,f(y,f(c_0,f(x,z))))) = c_0. [para(26642(a,1),26694(a,1,1,2,2)),rewrite([24613(7),9849(7),24613(5),18622(17),24613(9)])]. given #598 (T,wt=15): 26990 f(x,f(f(y,x),f(z,f(x,x)))) = f(y,x). [para(11(a,1),26663(a,1,2,2,2,2)),rewrite([11(3),24613(3),9899(3)])]. given #599 (T,wt=17): 24194 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(x,z)))) = x. [para(15147(a,1),15163(a,1,1)),rewrite([15147(5),7716(6)])]. given #600 (T,wt=15): 27148 f(f(x,x),f(c_0,f(f(x,y),f(x,z)))) = x. [para(24194(a,1),26177(a,1,2,2)),rewrite([24613(7),9899(7),24613(7),24194(15)])]. given #601 (A,wt=29): 24624 f(x,f(c_0,f(f(x,y),f(f(z,f(c_0,f(x,y))),f(c_0,f(f(x,y),f(z,f(x,z)))))))) = c_0 # label(false). [para(19076(a,1),19092(a,1,2,2,1)),rewrite([24613(15),24613(16),24613(17),24620(18),24613(6),24613(21),24613(22),24613(23),24620(24),24613(11)])]. given #602 (F,wt=19): 26964 f(f(x,f(y,f(y,f(x,f(z,x))))),f(c_0,f(z,x))) = c_0 # label(false). [para(26180(a,1),26708(a,1,1,2)),rewrite([26180(8),24613(7),15203(7),24613(6),24613(9)])]. given #603 (F,wt=23): 26953 f(x,f(f(y,f(y,f(z,f(x,x)))),f(f(x,x),f(z,f(x,x))))) = c_0 # label(false). [para(607(a,1),26708(a,1,1,2)),rewrite([9849(3),607(5),24613(4),24613(7),24613(9)])]. given #604 (F,wt=23): 27027 f(x,f(f(y,f(x,x)),f(z,f(z,f(f(x,x),f(y,f(x,x))))))) = c_0 # label(false). [para(11(a,1),26728(a,1,1)),rewrite([24613(2),24613(5)])]. given #605 (F,wt=25): 26239 f(x,f(f(y,f(c_0,f(z,x))),f(x,f(f(y,f(y,x)),f(z,x))))) = f(z,x) # label(false). [para(26094(a,1),24613(a,2)),rewrite([24613(6),24613(8),24613(11)])]. given #606 (T,wt=17): 24658 f(f(x,y),f(c_0,f(f(y,z),f(y,f(x,y))))) = y. [para(19076(a,1),15163(a,1,2,2,2)),rewrite([24613(6)])]. given #607 (T,wt=17): 24726 f(f(x,f(x,y)),f(f(z,x),f(x,y))) = f(x,y). [back_rewrite(24465),rewrite([24613(4),24613(9),15153(9),24613(6)])]. given #608 (T,wt=15): 27297 f(f(x,f(y,x)),f(x,f(z,f(y,x)))) = x. [para(11(a,1),24726(a,1,1,2)),rewrite([24613(2),11(7),24613(5),11(9)])]. given #609 (T,wt=15): 27301 f(f(x,f(x,y)),f(x,f(z,f(x,y)))) = x. [para(15153(a,1),24726(a,1,1,2)),rewrite([24613(2),15153(8),24613(5),15153(10)])]. given #610 (A,wt=23): 24643 f(x,f(f(y,f(x,y)),f(x,f(y,f(x,y))))) = f(x,f(y,f(x,y))). [para(20601(a,1),19076(a,1,2,1)),rewrite([24613(8),10791(10)])]. given #611 (F,wt=27): 24664 f(f(x,y),f(c_0,f(x,f(f(z,f(x,x)),f(c_0,f(x,f(z,f(z,f(x,y))))))))) = c_0 # label(false). [back_rewrite(24609),rewrite([24613(12),24613(13),24613(14),24613(15),24620(15),24613(4),24613(7),24613(9)])]. given #612 (F,wt=27): 25286 f(f(x,y),f(c_0,f(y,f(f(z,f(y,y)),f(c_0,f(y,f(z,f(z,f(x,y))))))))) = c_0 # label(false). [back_rewrite(20778),rewrite([24613(5),24613(9),15153(9),24613(4),24613(9),24613(13),15153(13),24613(8),24613(9)])]. given #613 (F,wt=27): 26162 f(f(c_0,f(x,f(x,y))),f(f(z,f(x,x)),f(c_0,f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(24650(a,1),24622(a,1,2,2,2)),rewrite([24613(12),24613(14)])]. given #614 (F,wt=27): 26460 f(f(f(x,y),f(z,f(x,z))),f(f(x,f(x,y)),f(z,f(x,z)))) = f(z,f(x,z)) # label(false). [para(26415(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(9,R),24613(8),15610(9),24613(11),10913(13)])]. given #615 (T,wt=15): 27311 f(f(x,y),f(x,f(z,f(x,f(x,y))))) = x. [para(24885(a,1),24726(a,1,1,2)),rewrite([24613(3),7716(3),24885(10),24613(5),24885(12)])]. given #616 (T,wt=15): 27363 f(f(x,y),f(y,f(z,f(y,f(x,y))))) = y. [para(26180(a,1),27301(a,1,1))]. given #617 (T,wt=17): 24737 f(f(x,f(y,x)),f(f(y,x),f(x,z))) = f(y,x). [back_rewrite(24427),rewrite([24613(6),9839(7,R),24613(7),10791(7),24613(6)])]. given #618 (T,wt=17): 24744 f(f(x,f(x,y)),f(f(x,z),f(x,y))) = f(x,y). [back_rewrite(24414),rewrite([24613(2),24613(4),24613(6),24613(7)])]. given #619 (A,wt=53): 24660 f(f(f(x,y),f(y,z)),f(f(f(y,y),f(c_0,f(u,f(f(x,y),f(y,z))))),f(f(f(x,y),f(y,z)),f(y,f(u,f(f(x,y),f(y,z))))))) = f(u,f(f(x,y),f(y,z))). [para(24330(a,1),19076(a,1,2,1,2,2,2)),rewrite([24613(8),24613(13),9849(13),24613(11),9899(11),24613(11),24613(17),24425(17),24613(14),9849(14),24613(15),24613(20),24613(26)])]. given #620 (F,wt=27): 26495 f(f(f(x,y),f(z,f(y,z))),f(f(y,f(x,y)),f(z,f(y,z)))) = f(z,f(y,z)) # label(false). [para(26416(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(9,R),24613(8),15610(9),24613(11),10913(13)])]. given #621 (F,wt=27): 27437 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(c_0,f(x,f(z,f(z,f(x,f(x,y)))))))) = c_0 # label(false). [para(7716(a,1),26162(a,1,1,2))]. given #622 (F,wt=27): 27444 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(c_0,f(y,f(z,f(z,f(y,f(x,y)))))))) = c_0 # label(false). [para(26180(a,1),26162(a,1,1,2))]. given #623 (F,wt=27): 27460 f(f(f(x,f(x,y)),f(y,z)),f(f(x,f(x,y)),f(y,f(y,z)))) = f(x,f(x,y)) # label(false). [para(26460(a,1),10913(a,1,2,2)),rewrite([24613(3),10913(6),24613(4),24613(6),24613(9),24613(11)]),flip(a)]. given #624 (T,wt=15): 27615 f(f(c_0,c_0),f(x,f(f(y,z),f(z,u)))) = c_0. [para(24660(a,1),26216(a,1,2))]. given #625 (T,wt=15): 27746 f(f(c_0,c_0),f(x,f(f(y,y),f(z,u)))) = c_0. [para(10913(a,1),27615(a,1,2,2,2)),rewrite([9899(5)])]. given #626 (T,wt=15): 27768 f(f(c_0,c_0),f(x,f(f(y,z),f(u,w)))) = c_0. [para(12170(a,1),27746(a,1,2,2,1))]. given #627 (T,wt=17): 24756 f(f(x,f(x,y)),f(f(x,y),f(x,z))) = f(x,y). [back_rewrite(24374),rewrite([24613(6),9839(7,R),24613(7),10791(7),24613(6)])]. given #628 (A,wt=31): 24661 f(f(x,y),f(x,f(f(c_0,f(z,f(z,f(x,x)))),f(f(x,y),f(c_0,f(z,f(z,f(x,x)))))))) = x # label(false). [para(19076(a,1),19074(a,1,2,1,2,1)),rewrite([24613(12),24613(13),24613(14),24613(15),24620(15),24613(4),24613(10),24613(15)])]. given #629 (F,wt=29): 24813 f(x,f(c_0,f(f(y,x),f(f(z,f(c_0,f(y,x))),f(c_0,f(f(y,x),f(z,f(x,z)))))))) = c_0 # label(false). [back_rewrite(24183),rewrite([24613(6),24613(11),24613(20),24613(23),24658(23),24613(16)])]. given #630 (F,wt=29): 24982 f(f(x,f(y,y)),f(f(y,z),f(c_0,f(f(y,y),f(z,f(z,f(x,f(y,y)))))))) = f(y,y) # label(false). [back_rewrite(23356),rewrite([24613(2),24613(6),15153(6),24613(6),24613(7),24613(10)])]. given #631 (F,wt=29): 26189 f(f(c_0,f(x,f(x,y))),f(f(z,f(c_0,f(x,y))),f(c_0,f(f(z,f(z,x)),f(x,y))))) = c_0 # label(false). [para(24694(a,1),24622(a,1,2,2,2)),rewrite([24613(7),24613(9),24613(16)])]. given #632 (F,wt=27): 27885 f(f(c_0,f(x,f(y,x))),f(f(z,f(x,x)),f(c_0,f(x,f(z,f(z,f(y,x))))))) = c_0 # label(false). [para(11(a,1),26189(a,1,1,2,2)),rewrite([24613(3),11(8),24613(6),9899(6),11(13),24613(11)])]. given #633 (T,wt=17): 25611 f(f(c_0,f(x,f(x,y))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(18995),rewrite([24613(2)])]. given #634 (T,wt=15): 27942 f(f(c_0,f(x,f(x,y))),f(c_0,f(y,z))) = c_0. [para(11(a,1),25611(a,1,2,2,2))]. given #635 (T,wt=15): 27943 f(f(x,x),f(c_0,f(y,f(y,f(z,x))))) = c_0. [para(11(a,1),25611(a,1,2,2)),rewrite([24613(7),9899(7),24613(7)])]. given #636 (T,wt=15): 28005 f(f(x,x),f(c_0,f(y,f(y,f(x,z))))) = c_0. [para(15153(a,1),27942(a,1,2,2)),rewrite([24613(7),9899(7),24613(7)])]. given #637 (A,wt=23): 24663 f(x,f(f(y,f(y,x)),f(x,f(y,f(y,x))))) = f(x,f(y,f(y,x))). [back_rewrite(24610),rewrite([24613(1),24613(3),24613(7),24613(8)])]. given #638 (F,wt=19): 27951 f(x,f(f(y,f(x,y)),f(x,f(z,z)))) = f(x,f(z,z)) # label(false). [para(25611(a,1),26150(a,1,2,1)),rewrite([24613(3),24613(7),24613(10),15610(10),24613(7),10913(7),10791(9)])]. given #639 (F,wt=19): 28089 f(f(c_0,f(x,f(x,y))),f(f(z,f(z,x)),f(x,y))) = c_0 # label(false). [para(26188(a,1),27943(a,1,2,2,2)),rewrite([9899(13,R),24613(8),10913(8),24613(9)])]. given #640 (F,wt=15): 28208 f(x,f(f(y,f(y,x)),f(x,z))) = f(x,z) # label(false). [para(28089(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(11,R),24613(11),24613(12),20605(12),24613(13),10913(13),15153(10),24613(7),9899(7),9849(7),24613(5)])]. given #641 (F,wt=23): 28143 f(x,f(c_0,f(f(x,f(y,y)),f(f(z,f(x,z)),f(x,f(y,y)))))) = c_0 # label(false). [para(27951(a,1),15610(a,1,2,2,2)),rewrite([24613(9)])]. given #642 (T,wt=15): 28007 f(x,f(c_0,f(y,f(c_0,f(z,f(x,z)))))) = c_0. [para(15610(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(6)])]. given #643 (T,wt=15): 28010 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))) = c_0. [para(27942(a,1),24650(a,1,2,2,2,2,2)),rewrite([24613(5),24613(11),543(11),24613(8),24613(12),10913(12),10913(10)])]. given #644 (T,wt=15): 28066 f(x,f(c_0,f(y,f(y,f(z,f(x,x)))))) = c_0. [para(24982(a,1),27942(a,1,2,2)),rewrite([9849(9),24613(7)])]. given #645 (T,wt=15): 28117 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,z)))) = c_0. [para(11(a,1),28005(a,1,2,2,2,2)),rewrite([9899(3,R),24613(3),24613(5)])]. given #646 (A,wt=43): 24667 f(f(x,y),f(f(c_0,f(y,f(x,f(c_0,f(f(x,z),f(x,f(x,y))))))),f(f(y,y),f(c_0,f(x,f(c_0,f(f(x,z),f(x,f(x,y))))))))) = y. [back_rewrite(24600),rewrite([24613(5),24613(8),24613(15),24613(18),24613(21),24613(23)])]. given #647 (F,wt=29): 26196 f(f(c_0,f(x,f(y,x))),f(f(z,f(c_0,f(y,x))),f(c_0,f(f(z,f(z,x)),f(y,x))))) = c_0 # label(false). [para(24980(a,1),24622(a,1,2,2,2)),rewrite([24613(7),24613(9),24613(16)])]. given #648 (F,wt=29): 26240 f(f(c_0,f(x,f(y,x))),f(f(z,f(c_0,f(y,x))),f(x,f(f(z,f(z,x)),f(y,x))))) = c_0 # label(false). [para(26094(a,1),24622(a,1,2,2,2)),rewrite([24613(6),24613(8),24613(15)])]. given #649 (F,wt=15): 28500 f(x,f(f(y,f(y,x)),f(z,x))) = f(z,x) # label(false). [para(26240(a,1),26420(a,1,2,2,2)),rewrite([24613(21),10913(21),24613(18),27297(18),24613(11),26239(11)]),flip(a)]. given #650 (F,wt=29): 27434 f(f(c_0,f(x,f(y,x))),f(f(z,f(c_0,f(y,x))),f(c_0,f(f(y,x),f(z,f(x,z)))))) = c_0 # label(false). [para(11(a,1),26162(a,1,1,2,2)),rewrite([24613(3),9899(7,R),24613(7),11(13),24613(11)])]. given #651 (T,wt=15): 28306 f(x,f(c_0,f(y,f(c_0,f(z,f(z,x)))))) = c_0. [para(28007(a,1),24650(a,1,2,2,2,2,2)),rewrite([24613(3),9870(11),9899(12),9849(12),24613(10),9899(10),9849(10),24613(8)])]. given #652 (T,wt=17): 25678 f(x,f(f(y,x),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(18601),rewrite([24613(4),24613(7)])]. given #653 (T,wt=17): 25692 f(x,f(f(x,y),f(y,f(z,f(x,y))))) = f(x,y). [back_rewrite(18540),rewrite([24613(2),24613(4),24613(6),24613(8),24613(10),24613(11),25669(11),24613(1),24613(4),24613(5),15203(5),24613(2),24613(3),24613(7)])]. given #654 (T,wt=17): 26046 f(f(x,y),f(c_0,f(f(x,z),f(x,f(x,y))))) = x. [back_rewrite(16144),rewrite([24613(5),24613(6)])]. given #655 (A,wt=55): 24680 f(f(x,y),f(f(c_0,f(y,f(f(z,f(x,y)),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))))),f(f(y,y),f(c_0,f(f(z,f(x,y)),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))))))) = y. [back_rewrite(24566),rewrite([24613(4),24613(5),24613(7),24613(8),24613(9),24613(11),24613(17),24613(18),24613(20),24613(21),24613(22),24613(24),24613(27),24613(29)])]. given #656 (F,wt=29): 27438 f(f(c_0,f(x,f(x,y))),f(f(z,f(c_0,f(x,y))),f(c_0,f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(15153(a,1),26162(a,1,1,2,2)),rewrite([24613(3),9899(7,R),24613(7),15153(14),24613(11)])]. given #657 (F,wt=29): 27659 f(f(x,x),f(f(y,f(c_0,f(x,z))),f(c_0,f(f(x,z),f(y,f(y,f(x,f(x,z)))))))) = c_0 # label(false). [para(11(a,1),27437(a,1,1,2)),rewrite([24613(2),9899(2),24613(2),24613(3),9899(4,R),24613(4),24613(7),24613(8),24613(9),24613(11),543(11),24613(9)])]. given #658 (F,wt=29): 27662 f(f(x,x),f(f(y,f(c_0,f(z,x))),f(c_0,f(f(z,x),f(y,f(y,f(x,f(z,x)))))))) = c_0 # label(false). [para(11(a,1),27437(a,1,2,2,2,2,2,2,2)),rewrite([11(4),24613(2),9899(2),9899(4,R),24613(4),24613(9)])]. given #659 (F,wt=31): 26423 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))) # label(false). [para(26407(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(12,R),24613(10),24622(11),24613(11),24613(12),10913(14)])]. given #660 (T,wt=17): 26169 f(f(x,x),f(f(y,f(x,x)),f(c_0,f(x,z)))) = x. [para(11(a,1),18578(a,1,2,2,2,2)),rewrite([24613(3),24613(5),9899(11,R),24613(11),9849(11)])]. given #661 (T,wt=17): 26248 f(f(c_0,f(x,y)),f(f(x,y),f(z,u))) = f(x,y). [para(26216(a,1),24650(a,1,2,2,2,2,2)),rewrite([9899(9,R),24613(9),543(10),24613(11),9222(11),24613(8),10913(9),24613(7)])]. given #662 (T,wt=17): 26249 f(f(c_0,f(x,y)),f(f(z,u),f(x,y))) = f(x,y). [para(26216(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(9,R),24613(9),543(10),24613(11),9222(11),24613(8),10913(9),24613(7)])]. given #663 (T,wt=17): 26264 f(f(c_0,f(x,y)),f(c_0,f(f(x,y),f(z,u)))) = c_0. [para(26216(a,1),24747(a,1,1,2)),rewrite([24613(3)])]. given #664 (A,wt=41): 24700 f(x,f(f(y,x),f(f(x,f(y,x)),f(x,f(f(c_0,f(z,f(z,f(x,x)))),f(f(y,x),f(c_0,f(z,f(z,f(x,x)))))))))) = f(y,x). [back_rewrite(24527),rewrite([24613(4),24613(7),24613(10),24613(15),24613(18),24613(20)])]. given #665 (F,wt=31): 26621 f(f(c_0,f(x,f(y,f(x,y)))),f(f(x,y),f(z,f(z,f(c_0,f(x,f(y,f(x,y)))))))) = f(x,y) # label(false). [para(25284(a,1),26416(a,1,2,1)),rewrite([24613(2),24613(6),24613(8),24613(12),24613(17),26156(21)])]. given #666 (F,wt=23): 28916 f(f(c_0,f(x,f(y,f(x,y)))),f(f(x,y),f(z,f(x,z)))) = f(x,y) # label(false). [para(27942(a,1),26621(a,1,2,2,2)),rewrite([24613(8),24613(12),10913(12)])]. given #667 (F,wt=23): 28931 f(f(c_0,f(x,f(y,f(y,x)))),f(f(y,x),f(z,f(x,z)))) = f(y,x) # label(false). [para(24613(a,1),28916(a,1,1,2)),rewrite([24613(2),24613(4),24613(6),24613(11)])]. given #668 (F,wt=27): 28932 f(f(f(x,y),f(z,f(x,z))),f(c_0,f(f(x,y),f(c_0,f(x,f(y,f(x,y))))))) = c_0 # label(false). [para(28916(a,1),24622(a,1,2,2,2)),rewrite([24613(12)])]. given #669 (T,wt=17): 26511 f(x,f(f(x,y),f(f(x,x),f(z,u)))) = f(x,y). [para(26505(a,1),26415(a,1,2,2,2)),rewrite([24613(8),10913(8)])]. given #670 (T,wt=17): 26523 f(x,f(f(y,f(x,x)),f(f(x,x),f(z,u)))) = c_0. [para(26518(a,1),24748(a,1,1,2,2)),rewrite([24613(6),26518(11),9849(9),24613(7)])]. given #671 (T,wt=17): 26685 f(f(c_0,f(x,y)),f(c_0,f(f(x,x),f(z,u)))) = c_0. [para(26518(a,1),26377(a,1,2,2,2,2)),rewrite([9899(7,R),24613(5),9849(9),24613(7),24613(9)])]. given #672 (T,wt=17): 26831 f(x,f(c_0,f(y,f(c_0,f(f(x,x),f(z,u)))))) = c_0. [para(26518(a,1),26641(a,1,1,2)),rewrite([9849(3),9899(8,R),24613(6)])]. given #673 (A,wt=41): 24704 f(f(x,y),f(f(x,f(x,y)),f(x,f(f(c_0,f(z,f(z,f(x,x)))),f(f(x,y),f(c_0,f(z,f(z,f(x,x))))))))) = f(x,f(x,y)). [back_rewrite(24519),rewrite([24613(3),24613(9),24613(14),24613(15),24613(17),24613(18),24613(19),24613(20)])]. given #674 (F,wt=27): 29044 f(f(f(x,y),f(z,f(y,z))),f(c_0,f(f(x,y),f(c_0,f(y,f(x,f(x,y))))))) = c_0 # label(false). [para(28931(a,1),24622(a,1,2,2,2)),rewrite([24613(12)])]. given #675 (F,wt=27): 29083 f(f(f(x,f(x,y)),f(y,z)),f(c_0,f(f(y,z),f(c_0,f(y,f(z,f(y,z))))))) = c_0 # label(false). [para(24613(a,1),28932(a,1,1)),rewrite([24613(1)])]. given #676 (F,wt=19): 29340 f(f(c_0,f(x,y)),f(f(z,f(z,x)),f(x,f(x,y)))) = c_0 # label(false). [para(15153(a,1),29083(a,1,2,2,2,2,2)),rewrite([9849(11),24613(9),7716(9),24613(9)])]. given #677 (F,wt=19): 29366 f(f(x,x),f(f(y,f(y,f(x,z))),f(x,f(x,z)))) = c_0 # label(false). [para(24658(a,1),29083(a,1,2,2)),rewrite([24613(5),24613(8),9899(8),24613(8)])]. given #678 (T,wt=17): 27162 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(y,u))) = c_0. [para(24194(a,1),26377(a,1,2,2,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(6),9899(6),24613(8)])]. given #679 (T,wt=17): 27168 f(f(x,x),f(c_0,f(y,f(f(x,z),f(x,u))))) = c_0. [para(24194(a,1),26641(a,1,1,2)),rewrite([24613(2),9899(2),9899(13,R),24613(9),10913(9)])]. given #680 (T,wt=17): 27315 f(f(x,f(x,y)),f(x,f(f(x,y),f(x,z)))) = x. [para(24726(a,1),25046(a,1,2,2,2)),rewrite([24613(3),24613(5),24613(9),15153(9),24613(6),24613(12),24613(14),24756(15),24613(11),15153(11)])]. given #681 (T,wt=17): 27333 f(x,f(f(x,y),f(z,f(x,f(x,y))))) = f(x,y). [para(24726(a,1),24726(a,1,1,2)),rewrite([24613(4),15153(4),24613(6),24613(8),24756(9),24613(5),24613(9),24613(11),24756(12)])]. given #682 (A,wt=55): 24707 f(f(x,y),f(y,f(f(c_0,f(f(z,f(y,y)),f(c_0,f(z,f(f(y,y),f(z,f(y,y))))))),f(f(x,y),f(c_0,f(f(z,f(y,y)),f(c_0,f(z,f(f(y,y),f(z,f(y,y))))))))))) = y. [back_rewrite(24502),rewrite([24613(4),24613(8),24613(10),24613(14),24613(17),24613(21),24613(23),24613(29)])]. given #683 (F,wt=31): 26622 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(y,f(x,f(x,y)))))) = f(c_0,f(y,f(x,f(x,y)))) # label(false). [para(25284(a,1),26420(a,1,1)),rewrite([25284(12),24613(10)])]. given #684 (F,wt=31): 26639 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(x,f(y,f(x,y)))))) = f(c_0,f(x,f(y,f(x,y)))) # label(false). [para(26156(a,1),26420(a,1,1)),rewrite([26156(12),24613(10)])]. given #685 (F,wt=31): 26755 f(f(f(x,y),f(z,f(x,z))),f(c_0,f(f(z,f(x,z)),f(f(x,f(x,y)),f(z,f(x,z)))))) = c_0 # label(false). [para(26415(a,1),26544(a,1,2,2,2,2,2)),rewrite([24613(12)])]. given #686 (F,wt=31): 26757 f(f(f(x,y),f(z,f(y,z))),f(c_0,f(f(z,f(y,z)),f(f(y,f(x,y)),f(z,f(y,z)))))) = c_0 # label(false). [para(26416(a,1),26544(a,1,2,2,2,2,2)),rewrite([24613(12)])]. given #687 (T,wt=17): 27528 f(x,f(f(y,x),f(z,f(x,f(y,x))))) = f(y,x). [para(11(a,1),27311(a,1,2,2,2,2)),rewrite([11(3),24613(3)])]. given #688 (T,wt=17): 27770 f(f(c_0,c_0),f(x,f(y,f(f(z,u),f(u,w))))) = c_0. [para(24660(a,1),27768(a,1,2,2))]. given #689 (T,wt=15): 29775 f(f(c_0,c_0),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(607(a,1),27770(a,1,2,2,2)),rewrite([9899(6,R),24613(6)])]. given #690 (T,wt=17): 28101 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(y,u))) = c_0. [para(24194(a,1),27943(a,1,2,2,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(5),24613(8)])]. given #691 (A,wt=47): 24708 f(f(x,f(c_0,f(y,z))),f(f(c_0,f(y,z)),f(f(c_0,f(u,f(u,f(y,z)))),f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(u,f(y,z)))))))) = f(c_0,f(y,z)). [back_rewrite(24501),rewrite([24613(7),24613(13),24613(16),24613(24)])]. given #692 (F,wt=31): 26920 f(f(f(x,f(x,y)),f(z,f(x,z))),f(c_0,f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(26578(a,1),26544(a,1,2,2,2,2,2)),rewrite([24613(15),10913(15),24613(12)])]. given #693 (F,wt=31): 26939 f(f(f(x,f(x,y)),f(y,f(y,z))),f(c_0,f(f(x,f(x,y)),f(f(x,f(x,y)),f(y,z))))) = c_0 # label(false). [para(26415(a,1),26694(a,1,1,2,2)),rewrite([24613(1),24613(7),24613(10),24613(12)])]. given #694 (F,wt=31): 26952 f(f(f(x,f(x,y)),f(y,z)),f(c_0,f(f(x,f(x,y)),f(f(x,f(x,y)),f(y,f(y,z)))))) = c_0 # label(false). [para(26578(a,1),26694(a,1,1,2,2)),rewrite([24613(1),24613(7),10913(7),24613(6),24613(10),24613(12)])]. given #695 (F,wt=31): 27072 f(f(x,f(y,f(x,y))),f(f(x,y),f(z,f(z,f(f(x,y),f(c_0,f(x,f(y,f(x,y))))))))) = c_0 # label(false). [para(25284(a,1),26877(a,1,2,1)),rewrite([24613(2),24613(7),9899(11,R),24613(7),10913(7),24613(4),24613(6),24613(11),26156(15),24613(11)])]. given #696 (T,wt=17): 28424 f(f(c_0,f(x,y)),f(c_0,f(f(y,y),f(z,u)))) = c_0. [para(26505(a,1),28117(a,1,2,2,2)),rewrite([24613(11),10913(11)])]. given #697 (T,wt=17): 28425 f(x,f(c_0,f(y,f(y,f(f(x,x),f(z,u)))))) = c_0. [para(26518(a,1),28117(a,1,1,2)),rewrite([9849(3),24613(5)])]. given #698 (T,wt=17): 28532 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(y,u))) = c_0. [para(24746(a,1),28306(a,1,2,2,2,2,2)),rewrite([24613(8),9849(8),24613(6),9899(6),24613(8)])]. given #699 (T,wt=17): 29480 f(f(c_0,f(x,y)),f(x,f(f(x,y),f(x,z)))) = c_0. [para(27315(a,1),24622(a,1,2,2,2)),rewrite([24613(8),7716(8),24613(8)])]. given #700 (A,wt=27): 24725 f(f(x,y),f(x,f(f(f(z,x),f(x,u)),f(f(x,y),f(f(z,x),f(x,u)))))) = x. [back_rewrite(24466),rewrite([24613(4),24613(10),24613(11),24613(12)])]. given #701 (F,wt=31): 27089 f(f(c_0,f(x,f(x,y))),f(f(y,f(y,z)),f(f(x,f(x,y)),f(f(x,f(x,y)),f(y,z))))) = c_0 # label(false). [para(26415(a,1),26885(a,1,2,2,2)),rewrite([24613(1),24613(3),9899(5,R),24613(4),24613(5),24613(8),24613(10),24613(14)])]. given #702 (F,wt=31): 27093 f(f(x,f(y,f(x,y))),f(f(z,f(z,f(x,y))),f(f(x,y),f(c_0,f(x,f(y,f(x,y))))))) = c_0 # label(false). [para(25284(a,1),26885(a,1,2,1,2)),rewrite([24613(2),24613(7),9899(11,R),24613(7),10913(7),24613(5),24613(9),24613(10),24613(12),26156(16),24613(14)])]. given #703 (F,wt=31): 27100 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(f(x,f(x,y)),f(f(x,f(x,y)),f(y,f(y,z)))))) = c_0 # label(false). [para(26578(a,1),26885(a,1,2,2,2)),rewrite([24613(1),24613(3),9899(5,R),24613(4),24613(5),24613(9),24613(11),24613(17),10913(17),24613(14)])]. given #704 (F,wt=31): 27452 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,f(x,y)))),f(c_0,f(f(x,f(x,y)),f(z,f(x,z)))))) = c_0 # label(false). [para(24194(a,1),26162(a,1,1,2,2)),rewrite([24613(4),7716(4),9899(8,R),24613(7),24194(19),24613(12)])]. given #705 (T,wt=17): 29778 f(f(c_0,c_0),f(x,f(y,f(f(z,z),f(u,w))))) = c_0. [para(10913(a,1),27770(a,1,2,2,2,2)),rewrite([9899(5)])]. given #706 (T,wt=17): 29809 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(y,u))) = c_0. [para(28101(a,1),7716(a,1,2,2)),rewrite([24613(2),24613(6),24613(10),10913(10),24613(7),18622(7),24613(3)]),flip(a)]. given #707 (T,wt=17): 30175 f(f(c_0,f(x,y)),f(y,f(f(x,y),f(y,z)))) = c_0. [para(24613(a,1),29480(a,1,1,2)),rewrite([24613(4)])]. given #708 (T,wt=17): 30451 f(f(c_0,c_0),f(x,f(y,f(f(z,u),f(w,v5))))) = c_0. [para(12170(a,1),29778(a,1,2,2,2,1))]. given #709 (A,wt=25): 24730 f(f(x,f(y,f(y,x))),f(f(y,x),f(z,f(c_0,f(x,f(y,f(y,x))))))) = c_0. [back_rewrite(24447),rewrite([24613(5),24613(7),24613(11),24613(12)])]. given #710 (F,wt=31): 27454 f(f(x,x),f(f(y,f(c_0,f(x,f(x,z)))),f(c_0,f(f(x,f(x,z)),f(y,f(y,f(x,z))))))) = c_0 # label(false). [para(24726(a,1),26162(a,1,1,2,2)),rewrite([24613(5),15153(5),24613(2),9899(2),9899(6,R),24613(5),24613(12),24613(14),24756(15)])]. given #711 (F,wt=31): 27456 f(f(x,f(y,f(y,f(z,x)))),f(f(x,f(z,x)),f(y,f(y,f(z,x))))) = f(y,f(y,f(z,x))) # label(false). [para(11(a,1),26460(a,1,2,1,2)),rewrite([11(3),24613(2),24613(6),24613(8),24613(13)])]. given #712 (F,wt=23): 30652 f(f(x,x),f(f(x,x),f(f(y,f(y,f(z,x))),f(x,f(z,x))))) = x # label(false). [para(26885(a,1),27456(a,2,2)),rewrite([24613(11),24613(23),24613(32),26423(36),24613(13),9849(13)])]. given #713 (F,wt=19): 30676 f(f(x,x),f(f(y,f(y,f(z,x))),f(x,f(z,x)))) = c_0 # label(false). [para(30652(a,1),24622(a,1,2,2)),rewrite([24613(8),9899(8),24613(8)])]. given #714 (T,wt=17): 30567 f(f(c_0,c_0),f(x,f(y,f(z,f(c_0,f(u,w)))))) = c_0. [para(29775(a,1),30175(a,1,1,2)),rewrite([29775(17),24613(15),26177(17)])]. given #715 (T,wt=19): 24762 f(f(x,y),f(f(x,z),f(x,f(x,y)))) = f(x,f(x,y)). [back_rewrite(24329),rewrite([24613(1),24613(4),24613(6),9839(9,R),24613(7),24613(9),10793(9),24613(5),24613(6),24613(7)])]. given #716 (T,wt=19): 24806 f(f(x,f(x,y)),f(c_0,f(x,f(z,f(x,y))))) = f(x,y). [back_rewrite(24208),rewrite([24613(1),24613(4),24613(5),24613(9)])]. given #717 (T,wt=17): 30737 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(x,z)))) = x. [para(11(a,1),24806(a,1,1,2)),rewrite([24613(2),11(7),24613(5),11(11)])]. given #718 (A,wt=21): 24731 f(f(x,y),f(f(z,f(c_0,f(x,y))),f(u,f(c_0,f(x,y))))) = c_0. [back_rewrite(24446),rewrite([24613(8),24613(11)])]. given #719 (F,wt=31): 27679 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(y,f(x,y)))),f(c_0,f(f(y,f(x,y)),f(z,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),27437(a,1,1,2)),rewrite([9899(8,R),24613(7),24737(19),24613(15),15203(15),24613(12)])]. given #720 (F,wt=31): 27683 f(f(x,x),f(f(y,f(c_0,f(x,f(z,x)))),f(c_0,f(f(x,f(z,x)),f(y,f(y,f(z,x))))))) = c_0 # label(false). [para(15203(a,1),27444(a,1,2,2,2,2,2,2,2)),rewrite([15203(5),24613(2),9899(2),9899(6,R),24613(5),24613(12),26180(12)])]. given #721 (F,wt=31): 27703 f(f(x,f(y,f(y,f(z,x)))),f(f(y,f(y,f(z,x))),f(x,f(z,x)))) = f(y,f(y,f(z,x))) # label(false). [para(11(a,1),27460(a,1,1,2)),rewrite([24613(4),11(11),24613(9)])]. given #722 (F,wt=31): 27705 f(f(x,f(y,f(y,f(x,z)))),f(f(y,f(y,f(x,z))),f(x,f(x,z)))) = f(y,f(y,f(x,z))) # label(false). [para(15153(a,1),27460(a,1,1,2)),rewrite([24613(4),15153(12),24613(9)])]. given #723 (T,wt=15): 30824 f(f(x,x),f(c_0,f(f(y,x),f(x,z)))) = x. [para(30737(a,1),26177(a,1,2,2)),rewrite([24613(7),9899(7),24613(7),30737(15)])]. given #724 (T,wt=17): 30851 f(f(c_0,f(x,f(y,x))),f(f(z,y),f(y,u))) = c_0. [para(30737(a,1),27943(a,1,2,2,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(5),24613(8)])]. given #725 (T,wt=19): 24983 f(f(x,y),f(f(x,f(y,y)),f(c_0,f(y,f(x,y))))) = y. [back_rewrite(23354),rewrite([24613(1),24613(4),15153(4),24613(3)])]. given #726 (T,wt=19): 25300 f(x,f(c_0,f(f(x,y),f(c_0,f(y,f(x,f(x,y))))))) = c_0. [back_rewrite(20722),rewrite([24613(6),24613(10)])]. given #727 (A,wt=51): 24732 f(f(f(x,y),f(y,z)),f(c_0,f(f(u,f(f(x,y),f(y,z))),f(f(c_0,f(y,f(u,f(f(x,y),f(y,z))))),f(f(y,y),f(c_0,f(u,f(f(x,y),f(y,z))))))))) = c_0. [back_rewrite(24441),rewrite([24613(8),24613(13),24613(16),24613(21),24613(24)])]. given #728 (F,wt=27): 31041 f(f(c_0,f(x,y)),f(x,f(z,f(z,f(f(y,f(x,x)),f(c_0,f(x,f(x,y)))))))) = c_0 # label(false). [para(24983(a,1),29044(a,1,1,1)),rewrite([24613(4),24613(8),24613(12),24613(16),25436(20),24613(16),24613(20),24613(21),24613(25),25436(29),24613(21),24613(22),20593(22),10913(17),7716(14),24613(14)])]. given #729 (F,wt=27): 31107 f(f(x,f(x,y)),f(x,f(z,f(z,f(f(y,f(x,x)),f(c_0,f(x,f(x,y)))))))) = x # label(false). [para(31041(a,1),24650(a,1,2,2,2,2,2)),rewrite([24613(15),10786(15),24613(17),10913(17),10913(16),24613(13)])]. given #730 (F,wt=29): 31168 f(f(x,y),f(x,f(z,f(z,f(f(c_0,f(x,y)),f(f(x,x),f(y,f(x,f(x,y))))))))) = x # label(false). [para(24967(a,1),31107(a,1,1,2)),rewrite([24613(1),7716(3),24613(2),24613(6),24613(8),25046(11),7716(10),24613(10)])]. given #731 (F,wt=29): 31213 f(f(x,y),f(y,f(z,f(z,f(f(c_0,f(x,y)),f(f(y,y),f(x,f(y,f(x,y))))))))) = y # label(false). [para(24613(a,1),31168(a,1,1)),rewrite([24613(3),24613(6)])]. given #732 (T,wt=19): 25436 f(f(x,y),f(f(y,f(x,x)),f(c_0,f(x,f(x,y))))) = x. [back_rewrite(19817),rewrite([24613(2),9839(3,R),24613(4),10791(4),24613(3)])]. given #733 (T,wt=19): 25671 f(f(x,y),f(x,f(f(x,z),f(f(x,y),f(x,z))))) = x. [back_rewrite(18683),rewrite([24613(5),24613(9),24613(10),24613(12),25641(12),9839(3,R),24613(4),10791(4),24613(7)])]. given #734 (T,wt=19): 25965 f(x,f(c_0,f(f(x,f(x,y)),f(z,f(x,y))))) = f(x,y). [back_rewrite(16898),rewrite([24613(2),24613(4),24613(6),24613(8),24613(11),25669(11),24613(5)])]. given #735 (T,wt=19): 25981 f(f(x,y),f(y,f(f(y,z),f(f(x,y),f(y,z))))) = y. [back_rewrite(16775),rewrite([24613(2),24613(5),15153(5),9839(3,R),24613(4),10793(4),24613(7)])]. given #736 (A,wt=49): 24736 f(f(c_0,f(f(x,y),f(c_0,f(f(x,x),f(y,f(y,f(z,f(x,x)))))))),f(f(x,x),f(u,f(f(x,y),f(c_0,f(f(x,x),f(y,f(y,f(z,f(x,x)))))))))) = c_0. [back_rewrite(24431),rewrite([24613(6),24613(9),24613(12),24613(19),24613(22),24613(26)])]. given #737 (F,wt=31): 28150 f(x,f(f(y,f(c_0,f(x,f(z,z)))),f(c_0,f(f(y,f(x,y)),f(x,f(z,z)))))) = f(x,f(z,z)) # label(false). [para(27951(a,1),24694(a,1,2,1,2,2)),rewrite([24613(11),26415(12),24613(11),24613(19),26415(20)])]. given #738 (F,wt=31): 28323 f(x,f(c_0,f(f(x,f(c_0,f(y,f(y,z)))),f(f(z,f(x,z)),f(x,f(c_0,f(y,f(y,z)))))))) = c_0 # label(false). [para(28007(a,1),24624(a,1,2,2,2,1)),rewrite([24613(3),24613(10),24613(16),10913(18)])]. given #739 (F,wt=31): 28339 f(f(c_0,f(x,f(x,f(c_0,f(y,f(y,z)))))),f(f(z,f(x,z)),f(x,f(c_0,f(y,f(y,z)))))) = c_0 # label(false). [para(28007(a,1),26189(a,1,2,1)),rewrite([24613(3),24613(11),24613(14),10913(20)])]. given #740 (F,wt=31): 28706 f(f(x,x),f(f(x,y),f(f(c_0,f(z,f(x,z))),f(f(x,f(x,y)),f(c_0,f(z,f(x,z))))))) = c_0 # label(false). [para(27942(a,1),27659(a,1,2,1)),rewrite([24613(6),24613(10),24613(15),10913(19)])]. given #741 (T,wt=19): 26250 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(x,y)))) = c_0. [para(12170(a,1),24727(a,1,2,1,2)),rewrite([9899(12,R),24613(10),10913(10)])]. given #742 (T,wt=19): 26362 f(x,f(c_0,f(f(x,f(x,y)),f(y,f(x,f(x,y)))))) = c_0. [para(24967(a,1),15610(a,1,2,2,2)),rewrite([24613(2),24613(5),24613(7)])]. given #743 (T,wt=19): 26385 f(x,f(f(y,f(x,x)),f(x,f(z,z)))) = f(x,f(z,z)). [para(19321(a,1),26150(a,1,2,1)),rewrite([24613(10),10812(10),24613(7),10913(7),10791(9)])]. given #744 (T,wt=19): 26450 f(f(x,x),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [para(10786(a,1),26415(a,1,2,2,2)),rewrite([24613(3),24613(8),10913(8),24613(5),24613(8)])]. given #745 (A,wt=49): 24741 f(f(c_0,f(f(x,f(c_0,f(y,z))),f(c_0,f(f(y,z),f(x,f(z,x)))))),f(f(y,z),f(u,f(f(x,f(c_0,f(y,z))),f(c_0,f(f(y,z),f(x,f(z,x)))))))) = c_0. [back_rewrite(24418),rewrite([24613(5),24613(10),24613(13),24613(19),24613(24),24613(28)])]. given #746 (F,wt=31): 28734 f(f(x,x),f(f(x,y),f(f(c_0,f(z,f(y,z))),f(f(x,f(x,y)),f(c_0,f(z,f(y,z))))))) = c_0 # label(false). [para(27942(a,1),27662(a,1,2,1)),rewrite([24613(4),24613(6),24613(10),24613(13),24613(15),10913(19)])]. given #747 (F,wt=31): 28886 f(f(c_0,f(x,f(y,f(y,x)))),f(f(y,x),f(z,f(z,f(c_0,f(x,f(y,f(y,x)))))))) = f(y,x) # label(false). [para(24613(a,1),26621(a,1,1,2)),rewrite([24613(2),24613(4),24613(6),24613(8),24613(16)])]. given #748 (F,wt=31): 28960 f(f(f(x,y),f(z,f(x,z))),f(c_0,f(x,f(f(x,y),f(c_0,f(y,f(x,f(x,y)))))))) = f(x,y) # label(false). [para(25284(a,1),28916(a,1,1,2,2,2)),rewrite([24613(8),25284(16),24613(15),25284(21)])]. given #749 (F,wt=31): 29595 f(f(x,f(y,f(y,x))),f(f(y,x),f(z,f(z,f(f(y,x),f(c_0,f(x,f(y,f(y,x))))))))) = c_0 # label(false). [para(26622(a,1),26569(a,1,1,2,2,2,2)),rewrite([26622(23),10913(18),24613(15)])]. given #750 (T,wt=19): 26522 f(f(x,x),f(f(c_0,f(x,y)),f(f(x,x),f(z,u)))) = x. [para(26518(a,1),18865(a,1,1)),rewrite([26518(10),9849(8),24613(6),24613(8),26518(14),9849(12)])]. given #751 (T,wt=17): 32225 f(f(c_0,f(x,y)),f(f(x,x),f(z,u))) = f(x,y). [para(26522(a,1),25692(a,1,2,2,2)),rewrite([24613(14),26518(14),24613(12),26522(12),24613(4),10791(4)]),flip(a)]. given #752 (T,wt=15): 32315 f(f(x,x),f(f(y,z),f(c_0,f(x,u)))) = x. [para(11(a,1),32225(a,1,1,2)),rewrite([24613(2),9899(2),24613(2),24613(3),9899(4,R),24613(4),24613(6),24613(8),24613(10),543(10)])]. given #753 (T,wt=13): 32448 f(f(x,x),f(y,f(c_0,f(x,z)))) = x. [para(11(a,1),32315(a,1,2,1))]. given #754 (A,wt=27): 24749 f(f(x,y),f(x,f(f(f(x,z),f(x,u)),f(f(x,y),f(f(x,z),f(x,u)))))) = x. [back_rewrite(24404),rewrite([24613(4),24613(10),24613(11),24613(12)])]. given #755 (F,wt=27): 32408 f(f(x,f(y,f(y,f(x,f(x,z))))),f(f(y,f(x,x)),f(x,z))) = f(y,f(x,x)) # label(false). [back_rewrite(27665),rewrite([32317(14),24613(10)])]. given #756 (F,wt=27): 32415 f(f(x,f(y,f(y,f(x,z)))),f(f(y,f(x,x)),f(x,f(x,z)))) = f(y,f(x,x)) # label(false). [back_rewrite(26419),rewrite([32317(14),24613(10)])]. given #757 (F,wt=27): 32624 f(f(x,f(y,f(y,f(x,f(x,z))))),f(f(x,z),f(y,f(x,x)))) = f(y,f(x,x)) # label(false). [para(32408(a,1),7716(a,2)),rewrite([24613(19),7716(22)])]. given #758 (F,wt=27): 32625 f(f(x,f(y,f(y,f(x,z)))),f(f(x,f(x,z)),f(y,f(x,x)))) = f(y,f(x,x)) # label(false). [para(7716(a,1),32408(a,1,1,2,2,2)),rewrite([24613(9)])]. given #759 (T,wt=15): 32317 f(f(x,f(y,y)),f(c_0,f(y,z))) = f(y,z). [para(11(a,1),32225(a,1,2,2)),rewrite([24613(5),24613(6)])]. given #760 (T,wt=13): 32800 f(f(x,x),f(y,f(c_0,f(z,x)))) = x. [para(11(a,1),32317(a,1,2,2)),rewrite([9899(3,R),24613(3),24613(6),9899(6),24613(6),11(9)])]. given #761 (T,wt=15): 32518 f(x,f(y,f(c_0,f(z,f(x,x))))) = f(x,x). [para(11(a,1),32448(a,1,1)),rewrite([24613(3)])]. given #762 (T,wt=15): 32519 f(f(x,f(y,y)),f(c_0,f(z,y))) = f(z,y). [para(11(a,1),32448(a,1,2,2,2)),rewrite([9899(3,R),24613(3),24613(5),9899(5),24613(6)])]. given #763 (A,wt=51): 24766 f(f(x,y),f(f(c_0,f(f(z,f(x,y)),f(y,f(c_0,f(f(y,u),f(y,f(x,y))))))),f(f(c_0,f(z,f(x,y))),f(c_0,f(f(y,u),f(y,f(x,y))))))) = f(z,f(x,y)). [back_rewrite(24300),rewrite([24613(4),24613(10),24613(18),24613(22),24613(23),24613(25),24613(28)])]. given #764 (F,wt=31): 29596 f(f(x,f(y,f(y,x))),f(f(z,f(z,f(y,x))),f(f(y,x),f(c_0,f(x,f(y,f(y,x))))))) = c_0 # label(false). [para(26622(a,1),26578(a,1,2,1,2)),rewrite([26622(12),10913(7),24613(12),24613(14)])]. given #765 (F,wt=31): 30236 f(f(c_0,f(x,f(y,x))),f(f(y,f(y,z)),f(f(x,f(y,x)),f(f(y,z),f(x,f(y,x)))))) = c_0 # label(false). [para(27089(a,1),24613(a,1)),rewrite([24613(4),24613(6),24613(9),24613(13),24613(16)]),flip(a)]. given #766 (F,wt=31): 30336 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(f(x,f(y,x)),f(f(y,f(y,z)),f(x,f(y,x)))))) = c_0 # label(false). [para(27100(a,1),24613(a,1)),rewrite([24613(3),24613(5),24613(9),24613(13),24613(16)]),flip(a)]. given #767 (F,wt=31): 30625 f(f(x,x),f(f(x,f(x,y)),f(f(c_0,f(z,f(x,z))),f(f(x,y),f(c_0,f(z,f(x,z))))))) = c_0 # label(false). [para(27942(a,1),27454(a,1,2,1)),rewrite([24613(7),24613(11),24613(15),10913(19)])]. given #768 (T,wt=15): 32527 f(f(x,y),f(c_0,f(x,f(c_0,f(y,z))))) = c_0. [para(32448(a,1),24747(a,1,1,2))]. given #769 (T,wt=15): 32544 f(f(x,y),f(x,f(x,f(c_0,f(y,z))))) = x. [para(32448(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. given #770 (T,wt=15): 32917 f(f(x,y),f(x,f(x,f(c_0,f(z,y))))) = x. [para(32800(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. given #771 (T,wt=15): 33032 f(f(x,x),f(y,f(f(x,z),f(x,u)))) = x. [para(24194(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(6),9899(6),24613(6),24194(14)])]. given #772 (A,wt=41): 24794 f(f(x,y),f(c_0,f(f(z,f(c_0,f(y,f(x,f(x,y))))),f(f(x,y),f(c_0,f(y,f(x,f(x,y)))))))) = f(c_0,f(y,f(x,f(x,y)))). [back_rewrite(24237),rewrite([24613(7),24613(13),24613(15),24613(16),24613(22)])]. given #773 (F,wt=31): 31593 f(x,f(c_0,f(f(x,f(c_0,f(y,f(z,y)))),f(f(z,f(x,z)),f(x,f(c_0,f(y,f(z,y)))))))) = c_0 # label(false). [para(24613(a,1),28323(a,1,2,2)),rewrite([24613(5),24613(11),24613(15)])]. given #774 (F,wt=31): 31900 f(f(x,x),f(f(x,y),f(f(c_0,f(z,f(z,y))),f(f(x,f(x,y)),f(c_0,f(z,f(z,y))))))) = c_0 # label(false). [para(24613(a,1),28734(a,1,2)),rewrite([24613(3),24613(9),24613(15)])]. given #775 (F,wt=31): 32030 f(f(f(x,y),f(z,f(y,z))),f(c_0,f(y,f(f(x,y),f(c_0,f(x,f(y,f(x,y)))))))) = f(x,y) # label(false). [para(24613(a,1),28960(a,1,1,1)),rewrite([24613(6),24613(8),24613(16)])]. given #776 (F,wt=31): 32031 f(f(f(x,f(x,y)),f(y,z)),f(c_0,f(y,f(f(y,z),f(c_0,f(z,f(y,f(y,z)))))))) = f(y,z) # label(false). [para(24613(a,1),28960(a,1,1)),rewrite([24613(1)])]. given #777 (T,wt=15): 33047 f(f(x,x),f(y,f(f(z,x),f(x,u)))) = x. [para(30737(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(6),9899(6),24613(6),30737(14)])]. given #778 (T,wt=15): 33286 f(f(x,f(y,z)),f(c_0,f(x,f(z,z)))) = c_0. [para(11(a,1),32527(a,1,2,2,2,2)),rewrite([24613(5),9899(5)])]. given #779 (T,wt=15): 33289 f(f(x,f(y,z)),f(c_0,f(x,f(y,y)))) = c_0. [para(15153(a,1),32527(a,1,2,2,2,2)),rewrite([24613(5),9899(5)])]. given #780 (T,wt=15): 33291 f(f(x,y),f(c_0,f(y,f(c_0,f(x,z))))) = c_0. [para(24613(a,1),32527(a,1,1))]. given #781 (A,wt=55): 24800 f(f(x,y),f(c_0,f(f(z,f(x,y)),f(f(c_0,f(f(z,f(x,y)),f(y,f(c_0,f(f(y,u),f(y,f(x,y))))))),f(f(c_0,f(z,f(x,y))),f(c_0,f(f(y,u),f(y,f(x,y))))))))) = c_0. [back_rewrite(24221),rewrite([24613(4),24613(7),24613(13),24613(21),24613(25),24613(26),24613(28)])]. given #782 (F,wt=31): 32296 f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,y),f(f(x,x),f(z,f(x,x))))) = f(x,y) # label(false). [back_rewrite(27823),rewrite([32226(16),24613(13)])]. given #783 (F,wt=31): 32406 f(f(f(x,f(y,y)),f(y,z)),f(c_0,f(f(x,f(y,y)),f(y,f(x,f(x,f(y,f(y,z)))))))) = c_0 # label(false). [back_rewrite(27669),rewrite([32317(17)])]. given #784 (F,wt=31): 32413 f(f(f(x,f(y,y)),f(y,f(y,z))),f(c_0,f(f(x,f(y,y)),f(y,f(x,f(x,f(y,z))))))) = c_0 # label(false). [back_rewrite(26571),rewrite([32317(17)])]. given #785 (F,wt=31): 32575 f(f(f(x,f(x,y)),f(y,z)),f(f(y,f(y,z)),f(x,f(c_0,f(y,z))))) = f(x,f(c_0,f(y,z))) # label(false). [back_rewrite(26187),rewrite([32522(11),32517(11),26177(18)])]. given #786 (T,wt=15): 33375 f(f(x,f(y,f(z,z))),f(c_0,f(z,x))) = c_0. [para(32519(a,1),32527(a,1,2,2)),rewrite([24613(3),24613(5)])]. given #787 (T,wt=15): 33381 f(f(x,f(y,z)),f(x,f(x,f(z,z)))) = x. [para(11(a,1),32544(a,1,2,2,2,2)),rewrite([24613(4),9899(4)])]. given #788 (T,wt=15): 33384 f(f(x,f(x,f(y,y))),f(x,f(y,z))) = x. [para(15153(a,1),32544(a,1,2,2,2,2)),rewrite([24613(4),9899(4),24613(6)])]. given #789 (T,wt=15): 33386 f(f(x,y),f(y,f(y,f(c_0,f(x,z))))) = y. [para(24613(a,1),32544(a,1,1))]. given #790 (A,wt=21): 24807 f(x,f(c_0,f(f(x,y),f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [back_rewrite(24207),rewrite([24613(2),24613(3),24613(5),24613(9)])]. given #791 (F,wt=27): 34099 f(f(x,f(y,f(y,f(z,x)))),f(f(y,f(x,x)),f(x,f(z,x)))) = f(y,f(x,x)) # label(false). [para(11(a,1),32575(a,1,1,2)),rewrite([24613(4),11(8),24613(6),11(10),24613(8),9899(8),24613(9),11(14),24613(12),9899(12)])]. given #792 (F,wt=31): 32614 f(f(f(x,y),f(z,f(x,z))),f(f(x,f(x,y)),f(z,f(c_0,f(x,y))))) = f(z,f(c_0,f(x,y))) # label(false). [back_rewrite(26426),rewrite([24613(1),24613(4),24613(9),24613(13),24613(15),24613(16),32571(18),24613(12),24613(14)])]. given #793 (F,wt=27): 34556 f(f(x,f(y,f(y,f(z,x)))),f(f(x,f(z,x)),f(y,f(x,x)))) = f(y,f(x,x)) # label(false). [para(11(a,1),32614(a,1,2,1,2)),rewrite([11(3),24613(2),24613(6),11(10),24613(8),9899(8),11(14),24613(12),9899(12)])]. given #794 (F,wt=31): 32616 f(f(f(x,f(x,y)),f(z,y)),f(f(y,f(z,y)),f(x,f(c_0,f(z,y))))) = f(x,f(c_0,f(z,y))) # label(false). [back_rewrite(26194),rewrite([32522(11),32522(21)])]. given #795 (T,wt=15): 33471 f(f(x,f(x,y)),f(x,f(z,f(y,y)))) = x. [para(607(a,1),32917(a,1,2,2,2,2)),rewrite([9849(6),24613(6)])]. given #796 (T,wt=15): 33478 f(f(x,y),f(c_0,f(x,f(c_0,f(z,y))))) = c_0. [para(32917(a,1),26885(a,1,2,2,2)),rewrite([9899(9,R),24613(6),15153(16),24613(8),7716(9),24613(8)])]. given #797 (T,wt=15): 33791 f(f(x,f(y,f(z,z))),f(c_0,f(x,z))) = c_0. [para(11(a,1),33286(a,1,2,2,2))]. given #798 (T,wt=15): 34346 f(x,f(c_0,f(y,f(x,f(x,f(y,y)))))) = c_0. [para(33384(a,1),24748(a,1,1))]. given #799 (A,wt=55): 24809 f(f(x,f(c_0,f(y,z))),f(z,f(c_0,f(f(c_0,f(y,z)),f(f(c_0,f(f(z,u),f(z,f(y,z)))),f(f(x,f(c_0,f(y,z))),f(c_0,f(f(z,u),f(z,f(y,z)))))))))) = f(c_0,f(y,z)). [back_rewrite(24200),rewrite([24613(10),24613(15),24613(20),24613(27)])]. given #800 (F,wt=29): 34693 f(f(x,f(c_0,f(y,z))),f(c_0,f(f(c_0,f(z,f(y,z))),f(f(x,f(x,z)),f(y,z))))) = c_0 # label(false). [para(32616(a,1),33289(a,1,1)),rewrite([9899(14,R),24613(13),24613(14)])]. given #801 (F,wt=31): 32621 f(f(x,f(y,f(c_0,f(z,x)))),f(f(z,x),f(y,f(y,f(x,f(z,x)))))) = f(y,f(c_0,f(z,x))) # label(false). [para(11(a,1),32408(a,1,1,2,2,2,2)),rewrite([24613(3),9899(9,R),24613(9),11(13),24613(11),24613(12),9899(15,R),24613(15)])]. given #802 (F,wt=23): 35046 f(x,f(c_0,f(f(x,f(y,y)),f(f(z,f(z,x)),f(x,f(y,y)))))) = c_0 # label(false). [para(28143(a,1),32621(a,1,1,2)),rewrite([24613(1),24613(7),24613(10),24613(16),24613(23),15203(29),7716(19),24613(18),26180(18),24613(13),18622(13),24613(5)]),flip(a)]. given #803 (F,wt=27): 35059 f(f(x,f(y,f(y,f(x,f(z,x))))),f(f(z,x),f(y,f(x,x)))) = f(y,f(x,x)) # label(false). [para(27333(a,1),32621(a,1,1,2,2)),rewrite([24613(3),9899(3),9849(3),24613(3),9899(3),24613(6),9899(6),24613(8),9899(8),9849(8),24613(7),11(7),24613(7),9899(7),9849(7),24613(7),9899(7),24613(9),9899(9),9849(9),24613(8),11(8),24613(6),24613(10),24613(13),9899(13),24613(15),9899(15),9849(15),24613(14),11(14),24613(12),9899(12)])]. given #804 (T,wt=15): 34388 f(f(x,f(y,z)),f(x,f(x,f(y,y)))) = x. [para(15153(a,1),33386(a,1,2,2,2,2)),rewrite([24613(2),24613(4),9899(4)])]. given #805 (T,wt=15): 34698 f(x,f(c_0,f(f(x,f(x,y)),f(y,y)))) = c_0. [para(33471(a,1),24747(a,1,1))]. given #806 (T,wt=15): 35116 f(f(x,y),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(33478(a,1),32621(a,1,1,2)),rewrite([24613(5),10913(5),24613(6),24613(7),27028(19),24613(2)]),flip(a)]. given #807 (T,wt=15): 35273 f(x,f(c_0,f(f(y,y),f(x,f(y,x))))) = c_0. [para(34698(a,1),32621(a,1,1,2)),rewrite([24613(3),9849(3),24613(1),24613(4),24613(6),24613(9),27228(14),24613(3),24613(6)]),flip(a)]. given #808 (A,wt=23): 24819 f(f(x,f(y,z)),f(c_0,f(y,f(f(y,z),f(x,f(y,z)))))) = f(y,z). [back_rewrite(24168),rewrite([24613(8)])]. given #809 (F,wt=31): 32622 f(f(f(x,x),f(y,f(y,f(f(x,x),f(z,f(x,x)))))),f(f(x,y),f(z,f(x,x)))) = f(x,y) # label(false). [para(11(a,1),32408(a,1,2,1,2)),rewrite([24613(4),24613(9),24613(11),9899(16,R),24613(16),9849(16),24613(14)])]. given #810 (F,wt=27): 35505 f(f(c_0,f(f(x,x),f(y,f(x,x)))),f(f(z,f(z,f(x,x))),f(y,f(x,x)))) = c_0 # label(false). [back_rewrite(31854),rewrite([35408(18),543(13),24613(11),9899(11),24613(11),24613(13)])]. given #811 (F,wt=31): 32627 f(f(x,f(y,f(c_0,f(x,z)))),f(f(x,z),f(y,f(y,f(x,f(x,z)))))) = f(y,f(c_0,f(x,z))) # label(false). [para(15153(a,1),32408(a,1,1,2,2,2,2)),rewrite([24613(3),9899(9,R),24613(9),15153(14),24613(11),24613(12),9899(15,R),24613(15)])]. given #812 (F,wt=31): 32695 f(f(f(x,y),f(z,f(y,z))),f(f(y,f(x,y)),f(z,f(c_0,f(x,y))))) = f(z,f(c_0,f(x,y))) # label(false). [para(11(a,1),32415(a,1,1,2,2,2)),rewrite([24613(2),9899(7,R),24613(7),11(12),24613(10),24613(11),9899(15,R),24613(15)])]. given #813 (T,wt=17): 32322 f(f(c_0,f(x,y)),f(f(y,y),f(z,u))) = f(x,y). [para(24613(a,1),32225(a,1,1,2)),rewrite([24613(8)])]. given #814 (T,wt=17): 32456 f(f(x,x),f(f(c_0,f(x,y)),f(c_0,f(z,u)))) = x. [para(18865(a,1),32315(a,1,2,1)),rewrite([24613(8)])]. given #815 (T,wt=17): 32486 f(f(c_0,f(x,y)),f(x,f(f(x,y),f(z,u)))) = c_0. [para(32315(a,1),26523(a,1,2,1)),rewrite([9899(10,R),24613(8),10913(8)])]. given #816 (T,wt=17): 32528 f(f(x,x),f(f(x,y),f(z,f(c_0,f(x,u))))) = c_0. [para(32448(a,1),24748(a,1,1,2,2)),rewrite([24613(5),24613(6),32448(13),24613(8),9899(8),24613(8)])]. given #817 (A,wt=55): 24821 f(f(x,y),f(f(c_0,f(y,f(x,f(x,y)))),f(f(c_0,f(z,f(z,f(y,f(x,f(x,y)))))),f(f(x,y),f(c_0,f(z,f(z,f(y,f(x,f(x,y)))))))))) = f(c_0,f(y,f(x,f(x,y)))) # label(false). [back_rewrite(24096),rewrite([24613(5),24613(6),24613(13),24613(14),24613(22),24613(24),24613(29)])]. given #818 (F,wt=31): 32777 f(f(f(x,y),f(z,f(x,x))),f(c_0,f(f(z,f(x,x)),f(x,f(z,f(z,f(x,f(x,y)))))))) = c_0 # label(false). [para(32624(a,1),24622(a,1,2,2,2)),rewrite([24613(13)])]. given #819 (F,wt=31): 32788 f(f(f(x,f(x,y)),f(z,f(x,x))),f(c_0,f(f(z,f(x,x)),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(32625(a,1),24622(a,1,2,2,2)),rewrite([24613(13)])]. given #820 (F,wt=31): 33963 f(f(f(x,y),f(f(y,y),f(z,f(y,y)))),f(f(y,y),f(x,f(x,f(z,f(y,y)))))) = f(x,y) # label(false). [para(24613(a,1),32296(a,1,1)),rewrite([24613(6),24613(7),24613(13),24613(14)])]. given #821 (F,wt=31): 34817 f(f(x,f(f(x,y),f(c_0,f(y,f(x,f(x,y)))))),f(f(x,f(x,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [back_rewrite(30303),rewrite([34801(22),24613(13),24613(14)])]. given #822 (T,wt=17): 32799 f(f(x,y),f(c_0,f(z,f(y,y)))) = f(z,f(y,y)). [para(11(a,1),32317(a,1,1,2)),rewrite([24613(4),24613(8)])]. given #823 (T,wt=17): 32801 f(f(x,y),f(c_0,f(z,f(x,x)))) = f(z,f(x,x)). [para(32317(a,1),543(a,1,2)),rewrite([9899(5,R),24613(4),24613(6)])]. given #824 (T,wt=17): 32903 f(f(x,x),f(f(x,y),f(z,f(c_0,f(u,x))))) = c_0. [para(32800(a,1),24748(a,1,1,2,2)),rewrite([24613(5),24613(6),32800(13),24613(8),9899(8),24613(8)])]. given #825 (T,wt=17): 32924 f(f(c_0,f(x,y)),f(y,f(f(x,y),f(z,u)))) = c_0. [para(32800(a,1),26523(a,1,2,1)),rewrite([9899(10,R),24613(8),10913(8)])]. given #826 (A,wt=39): 24828 f(f(x,f(y,f(z,u))),f(f(y,f(z,u)),f(f(c_0,f(z,u)),f(f(x,f(y,f(z,u))),f(c_0,f(z,u)))))) = f(y,f(z,u)). [back_rewrite(24071),rewrite([24613(5),24613(13),24613(14),24613(16),24613(18),24613(20)])]. given #827 (F,wt=31): 34819 f(f(f(x,y),f(z,f(z,f(x,f(x,y))))),f(x,f(f(x,f(x,y)),f(y,f(x,f(x,y)))))) = c_0 # label(false). [back_rewrite(30293),rewrite([34802(22),24613(14),7716(14),24613(13),24613(14)])]. given #828 (F,wt=31): 34984 f(f(f(x,x),f(y,f(y,f(f(x,x),f(z,f(x,x)))))),f(f(z,f(x,x)),f(x,y))) = f(x,y) # label(false). [para(607(a,1),32621(a,1,1,2,2,2)),rewrite([9849(5),24613(3),607(7),607(10),24613(9),24613(13),607(17),9849(16),24613(14)])]. given #829 (F,wt=31): 35079 f(x,f(c_0,f(f(x,f(c_0,f(y,f(z,y)))),f(f(z,f(z,x)),f(x,f(c_0,f(y,f(z,y)))))))) = c_0 # label(false). [para(28323(a,1),32621(a,1,1,2)),rewrite([24613(1),24613(4),24613(10),24613(12),24613(16),24613(19),24613(25),24613(28),24613(34),24613(38),24613(41),15203(47),7716(31),24613(30),26180(30),24613(19),18622(19),24613(4),24613(8),24613(11)]),flip(a)]. given #830 (F,wt=31): 35162 f(f(f(x,y),f(z,f(y,y))),f(c_0,f(f(z,f(y,y)),f(y,f(z,f(z,f(y,f(x,y)))))))) = c_0 # label(false). [para(35059(a,1),24622(a,1,2,2,2)),rewrite([24613(13)])]. given #831 (T,wt=17): 33026 f(x,f(y,f(c_0,f(f(x,x),f(z,u))))) = f(x,x). [para(26518(a,1),32519(a,1,2,2)),rewrite([9899(7,R),24613(5),9849(9),24613(7),26518(11)])]. given #832 (T,wt=17): 33056 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(x,u)))))) = x. [para(32448(a,1),32519(a,1,2,2)),rewrite([9899(9,R),24613(6),24613(9),9899(9),24613(9),32448(15)])]. given #833 (T,wt=17): 33057 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(u,x)))))) = x. [para(32800(a,1),32519(a,1,2,2)),rewrite([9899(9,R),24613(6),24613(9),9899(9),24613(9),32800(15)])]. given #834 (T,wt=17): 33474 f(f(x,f(x,y)),f(x,f(f(y,y),f(z,u)))) = x. [para(26518(a,1),32917(a,1,2,2,2,2)),rewrite([9849(7),24613(7)])]. given #835 (A,wt=47): 24973 f(f(x,y),f(f(f(y,y),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))),f(c_0,f(y,f(f(z,f(x,y)),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))))))) = y. [back_rewrite(23378),rewrite([24613(1),24613(4),15153(4),24613(6),24613(8),24613(13),24613(17),24613(19),24613(22)])]. given #836 (F,wt=31): 35413 f(f(f(x,y),f(z,f(y,y))),f(f(y,y),f(x,f(x,f(f(y,y),f(z,f(y,y))))))) = f(x,y) # label(false). [para(24613(a,1),32622(a,1,1)),rewrite([24613(8),24613(9),24613(13),24613(14)])]. given #837 (F,wt=31): 35994 f(f(x,f(y,y)),f(f(y,z),f(f(y,y),f(f(y,y),f(z,f(z,f(x,f(y,y)))))))) = f(y,z) # label(false). [para(33963(a,1),32415(a,1,1,2,2)),rewrite([24613(2),24613(8),24613(9),32319(9),26180(6),24613(3),9899(11,R),24613(11),9849(11),24613(9),26511(9),24613(14),9899(22,R),24613(22),9849(22),24613(20),26511(20)])]. given #838 (F,wt=27): 36730 f(f(x,y),f(f(z,f(y,y)),f(y,f(y,f(z,f(z,f(x,y))))))) = f(z,f(y,y)) # label(false). [para(11(a,1),35994(a,1,1,2)),rewrite([24613(3),9899(6,R),24613(6),9849(6),9899(6,R),24613(6),9849(6),9899(6,R),24613(6),9849(6),24613(12)])]. given #839 (F,wt=27): 36794 f(f(x,y),f(f(z,f(x,x)),f(x,f(x,f(z,f(z,f(x,y))))))) = f(z,f(x,x)) # label(false). [para(32225(a,1),35994(a,1,1)),rewrite([24613(3),9899(6,R),24613(6),9849(6),9899(6,R),24613(6),9849(6),9899(9,R),24613(9),9849(9),24613(7),10791(7),24613(12)])]. given #840 (T,wt=17): 33517 f(f(x,y),f(c_0,f(x,f(f(y,z),f(y,u))))) = c_0. [para(33032(a,1),24747(a,1,1,2))]. given #841 (T,wt=17): 33536 f(f(x,y),f(x,f(x,f(f(y,z),f(y,u))))) = x. [para(33032(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. Low Water (keep): wt=55.000, iters=6810 given #842 (T,wt=17): 33739 f(f(x,x),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(33047(a,1),20605(a,1,2,2)),rewrite([24613(8),9899(8),24613(8)])]. given #843 (T,wt=17): 33760 f(f(x,y),f(x,f(x,f(f(z,y),f(y,u))))) = x. [para(33047(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. given #844 (A,wt=39): 24977 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(23374),rewrite([24613(4),24613(10),15153(10),24613(6),24613(12),24613(17)])]. given #845 (F,wt=27): 36861 f(f(c_0,f(x,f(x,f(y,f(y,f(x,z)))))),f(c_0,f(f(x,z),f(y,f(x,x))))) = c_0 # label(false). [para(36730(a,1),27943(a,1,2,2,2)),rewrite([24613(1),24613(6),9899(11,R),24613(7),24613(9)])]. given #846 (F,wt=29): 37229 f(f(x,x),f(c_0,f(f(y,f(c_0,f(z,x))),f(f(z,x),f(y,f(y,f(x,f(z,x)))))))) = c_0 # label(false). [para(32621(a,1),36861(a,1,1,2,2,2,2)),rewrite([24613(13),32902(13),24613(4),15203(5),24613(2),9899(2),9899(16,R),24613(16),24613(17),26398(17),24613(13)])]. given #847 (F,wt=31): 36292 f(f(f(x,y),f(z,f(z,f(y,f(x,y))))),f(y,f(f(y,f(x,y)),f(x,f(y,f(x,y)))))) = c_0 # label(false). [para(24613(a,1),34819(a,1,1,1)),rewrite([24613(2),24613(7),24613(9)])]. given #848 (F,wt=31): 36312 f(f(f(x,y),f(z,f(z,f(x,f(x,y))))),f(c_0,f(f(x,f(x,y)),f(y,f(x,f(x,y)))))) = c_0 # label(false). [para(34819(a,1),27943(a,1,2,2,2)),rewrite([9899(13,R),24613(8),24613(17),10913(18),24613(15)])]. given #849 (T,wt=13): 37135 f(x,f(f(x,y),f(y,z))) = f(x,y). [para(33760(a,1),26407(a,1,2)),rewrite([24613(4)])]. given #850 (T,wt=15): 37351 f(x,f(y,f(x,f(z,y)))) = f(x,f(z,y)). [para(11(a,1),37135(a,1,2,2)),rewrite([24613(3)])]. given #851 (T,wt=15): 37352 f(x,f(y,f(x,f(y,z)))) = f(x,f(y,z)). [para(15153(a,1),37135(a,1,2,2)),rewrite([24613(3)])]. given #852 (T,wt=13): 37602 f(x,f(f(x,y),f(z,y))) = f(x,y). [para(11(a,1),37352(a,1,2,2,2)),rewrite([24613(3),11(7)])]. given #853 (A,wt=23): 24979 f(f(x,y),f(f(c_0,f(y,f(x,y))),f(f(x,f(x,y)),f(y,y)))) = y. [back_rewrite(23369),rewrite([24613(1),24613(4),15153(4),24613(3),24613(5),24613(7),24613(10)])]. given #854 (F,wt=31): 36796 f(x,f(f(y,f(c_0,f(x,z))),f(f(x,z),f(f(x,z),f(y,f(x,y)))))) = f(y,f(c_0,f(x,z))) # label(false). [para(32448(a,1),35994(a,1,1)),rewrite([24613(4),9899(11,R),24613(9),10913(9),9899(12,R),24613(10),10913(10),9899(14,R),24613(12),10913(12),543(9),24613(7),24613(16)])]. given #855 (F,wt=29): 37729 f(f(x,f(c_0,f(y,z))),f(c_0,f(y,f(c_0,f(f(y,z),f(f(x,f(x,y)),f(y,z))))))) = c_0 # label(false). [para(36796(a,1),33286(a,1,1)),rewrite([24613(8),24613(10),24613(14),24613(16),9899(18,R),24613(13)])]. Low Water (keep): wt=53.000, iters=6683 given #856 (F,wt=29): 37736 f(f(x,f(c_0,f(y,z))),f(y,f(y,f(c_0,f(f(y,z),f(f(x,f(x,y)),f(y,z))))))) = y # label(false). [para(36796(a,1),33381(a,1,1)),rewrite([24613(7),24613(9),24613(13),24613(15),9899(17,R),24613(12)])]. given #857 (F,wt=29): 37758 f(f(x,f(c_0,f(y,z))),f(c_0,f(z,f(c_0,f(f(y,z),f(f(x,f(x,z)),f(y,z))))))) = c_0 # label(false). [para(24613(a,1),37729(a,1,1,2,2)),rewrite([24613(7),24613(10)])]. given #858 (T,wt=15): 37572 f(x,f(y,f(x,f(x,f(y,y))))) = f(x,x). [para(33384(a,1),37351(a,1,2)),flip(a)]. given #859 (T,wt=15): 37592 f(x,f(f(x,f(x,y)),f(y,y))) = f(x,x). [para(33474(a,1),37351(a,1,2)),rewrite([24613(5)]),flip(a)]. given #860 (T,wt=15): 37904 f(x,f(y,f(y,f(x,x)))) = f(x,f(y,y)). [para(37572(a,1),37352(a,1,2)),flip(a)]. given #861 (T,wt=17): 34822 f(f(c_0,f(x,y)),f(x,f(f(y,y),f(z,u)))) = c_0. [para(26518(a,1),33478(a,1,2,2,2,2)),rewrite([9849(8),24613(8)])]. given #862 (A,wt=23): 24985 f(f(x,y),f(y,f(f(c_0,f(y,z)),f(f(x,y),f(c_0,f(y,z)))))) = y. [back_rewrite(23349),rewrite([24613(1),24613(4),15153(4),24613(3),24613(7),24613(11)])]. given #863 (F,wt=23): 38056 f(x,f(f(x,y),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))) = f(x,y) # label(false). [para(37904(a,1),26415(a,1,2,2,2)),rewrite([24613(7)])]. Low Water (keep): wt=51.000, iters=6694 given #864 (F,wt=25): 38238 f(f(x,y),f(y,f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))) = y # label(false). [para(11(a,1),38056(a,1,2,1)),rewrite([9899(7,R),24613(7),24613(10),11(15)])]. given #865 (F,wt=23): 38323 f(f(x,y),f(y,f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))) = y # label(false). [para(27942(a,1),38238(a,1,2,2,1,2)),rewrite([24613(3),24613(7),10913(7),24613(6),24613(10),9899(13,R),24613(10),10913(10)])]. given #866 (F,wt=23): 38369 f(f(x,y),f(x,f(f(z,f(y,z)),f(f(x,y),f(z,f(y,z)))))) = x # label(false). [para(38323(a,1),10913(a,1,2,2)),rewrite([24613(3),9899(3),9849(3),24613(1),24613(4)]),flip(a)]. given #867 (T,wt=17): 35024 f(f(x,f(x,y)),f(c_0,f(f(x,z),f(x,y)))) = x. [para(24194(a,1),32621(a,2)),rewrite([24613(7),24613(13),24613(21),32627(26)])]. given #868 (T,wt=17): 35276 f(f(c_0,f(x,y)),f(y,f(f(x,x),f(z,u)))) = c_0. [para(26518(a,1),35116(a,1,2,2,2,2)),rewrite([24613(4),9849(8),24613(6),24613(8)])]. given #869 (T,wt=17): 35328 f(f(x,y),f(c_0,f(f(z,y),f(y,f(x,y))))) = y. [para(11(a,1),24819(a,1,2,2,2,1)),rewrite([11(3),11(6),11(11)])]. given #870 (T,wt=17): 35785 f(f(x,f(x,y)),f(x,f(f(x,y),f(z,u)))) = x. [para(32486(a,1),26407(a,1,2,2,2)),rewrite([24613(9),10913(9),24613(7)])]. given #871 (A,wt=23): 24990 f(x,f(c_0,f(f(y,f(x,x)),f(f(x,x),f(z,f(x,x)))))) = f(x,x). [back_rewrite(23335),rewrite([24613(8),24613(10)])]. given #872 (F,wt=23): 38373 f(f(x,y),f(x,f(f(z,f(z,y)),f(f(x,y),f(z,f(z,y)))))) = x # label(false). [para(38323(a,1),24613(a,1)),rewrite([24613(1),24613(3),24613(4),24613(9),24613(10)]),flip(a)]. given #873 (F,wt=23): 38474 f(x,f(f(y,x),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))) = f(y,x) # label(false). [para(11(a,1),38369(a,1,2,2,2,1)),rewrite([11(3),24613(3),24613(6),37904(8),24613(7)])]. given #874 (F,wt=25): 38239 f(x,f(f(x,y),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))) = f(x,y) # label(false). [para(11(a,1),38056(a,1,2,2,1,2)),rewrite([24613(6)])]. given #875 (F,wt=25): 38242 f(f(x,y),f(x,f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))) = x # label(false). [para(15153(a,1),38056(a,1,2,1)),rewrite([9899(7,R),24613(7),24613(10),15153(16)])]. given #876 (T,wt=17): 36921 f(f(x,y),f(c_0,f(y,f(f(x,z),f(x,u))))) = c_0. [para(24613(a,1),33517(a,1,1))]. Low Water (keep): wt=49.000, iters=6687 given #877 (T,wt=17): 37028 f(f(x,y),f(y,f(y,f(f(x,z),f(x,u))))) = y. [para(24613(a,1),33536(a,1,1))]. given #878 (T,wt=13): 38947 f(x,f(f(y,x),f(y,z))) = f(y,x). [para(37028(a,1),26407(a,1,2)),rewrite([24613(4)])]. given #879 (T,wt=13): 38952 f(x,f(f(y,z),f(y,x))) = f(y,x). [para(37028(a,1),26420(a,1,2)),rewrite([24613(4)])]. given #880 (A,wt=23): 24998 f(x,f(f(y,x),f(f(x,f(y,x)),f(y,f(x,f(y,x)))))) = f(y,x). [back_rewrite(23263),rewrite([24613(1),24613(4),24967(7),24613(6),24613(7),24613(8),24613(9),24613(10)])]. given #881 (F,wt=23): 38841 f(f(x,y),f(x,f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))) = x # label(false). [para(27942(a,1),38242(a,1,2,2,1,2)),rewrite([24613(3),24613(7),10913(7),24613(6),24613(10),9899(13,R),24613(10),10913(10)])]. given #882 (F,wt=23): 39136 f(f(x,y),f(y,f(f(z,f(y,z)),f(f(x,y),f(z,f(y,z)))))) = y # label(false). [para(24613(a,1),38841(a,1,1)),rewrite([24613(4)])]. Low Water (keep): wt=47.000, iters=6687 given #883 (F,wt=25): 38748 f(x,f(f(x,y),f(c_0,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))) = f(x,y) # label(false). [para(15610(a,1),38239(a,1,2,2,1)),rewrite([9899(11,R),24613(8),10913(8),9899(14,R),24613(11),10913(11),38050(8)])]. given #884 (F,wt=27): 38058 f(x,f(c_0,f(f(x,y),f(f(x,y),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))))) = c_0 # label(false). [para(37904(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(9)])]. given #885 (T,wt=17): 37136 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(y,z))) = c_0. [para(33760(a,1),26417(a,1,2,2,2)),rewrite([24613(6),24613(8)])]. given #886 (T,wt=17): 37137 f(x,f(c_0,f(f(x,y),f(f(x,y),f(y,z))))) = c_0. [para(33760(a,1),26421(a,1,1))]. given #887 (T,wt=17): 37141 f(f(x,y),f(c_0,f(x,f(f(z,y),f(y,u))))) = c_0. [para(33760(a,1),26885(a,1,2,2,2)),rewrite([9899(9,R),24613(6),15153(16),24613(8),7716(9),24613(8)])]. given #888 (T,wt=17): 37556 f(x,f(f(x,y),f(z,f(c_0,f(y,u))))) = f(x,y). [para(32448(a,1),37351(a,1,2,2,2)),rewrite([24613(6),32448(13)])]. given #889 (A,wt=55): 25018 f(f(x,f(c_0,f(y,f(z,f(y,z))))),f(f(z,f(y,z)),f(c_0,f(f(c_0,f(y,f(z,f(y,z)))),f(z,f(z,f(x,f(c_0,f(y,f(z,f(y,z))))))))))) = f(c_0,f(y,f(z,f(y,z)))). [back_rewrite(23164),rewrite([24613(2),24613(7),24613(11),24613(15),24613(16),24613(19),24613(23),24613(28)])]. given #890 (F,wt=27): 38061 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))) = c_0 # label(false). [para(37904(a,1),26456(a,1,2,2,2)),rewrite([24613(11)])]. given #891 (F,wt=27): 38062 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))) = c_0 # label(false). [para(37904(a,1),26578(a,1,2,2,2)),rewrite([24613(11)])]. given #892 (F,wt=27): 38063 f(f(c_0,f(x,y)),f(f(y,f(x,y)),f(f(y,f(z,z)),f(z,f(z,f(y,y)))))) = c_0 # label(false). [para(37904(a,1),26708(a,1,2,2,2)),rewrite([24613(11)])]. given #893 (F,wt=27): 38300 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(z,z),f(f(z,z),f(c_0,f(x,y))))))) = y # label(false). [para(11(a,1),38238(a,1,2,2,2,2)),rewrite([24613(10),24613(11)])]. given #894 (T,wt=15): 39533 f(x,f(c_0,f(f(x,y),f(c_0,f(y,z))))) = c_0. [para(37556(a,1),26569(a,1,1,2,2)),rewrite([15153(4)])]. given #895 (T,wt=15): 39910 f(x,f(c_0,f(f(x,f(y,z)),f(z,z)))) = c_0. [para(11(a,1),39533(a,1,2,2,2,2)),rewrite([24613(5),9899(5)])]. given #896 (T,wt=15): 39911 f(x,f(c_0,f(f(y,y),f(x,f(y,z))))) = c_0. [para(15153(a,1),39533(a,1,2,2,2,2)),rewrite([24613(5),9899(5),24613(5)])]. given #897 (T,wt=15): 39992 f(x,f(c_0,f(f(y,x),f(c_0,f(y,z))))) = c_0. [para(39533(a,1),32621(a,1,1,2)),rewrite([24613(5),10913(5),24613(2),24613(10),27028(19),24613(3)]),flip(a)]. given #898 (A,wt=59): 25037 f(f(x,f(c_0,f(y,f(z,f(z,y))))),f(y,f(c_0,f(f(c_0,f(y,f(z,f(z,y)))),f(f(y,f(z,y)),f(f(y,f(z,y)),f(x,f(c_0,f(y,f(z,f(z,y))))))))))) = f(c_0,f(y,f(z,f(z,y)))). [back_rewrite(23065),rewrite([24613(4),24613(13),24613(15),24613(18),24613(23),24613(25),24613(32)])]. given #899 (F,wt=27): 38371 f(f(x,y),f(c_0,f(y,f(y,f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))))) = c_0 # label(false). [para(38323(a,1),15610(a,1,2,2,2)),rewrite([24613(11)])]. Low Water (keep): wt=45.000, iters=6870 given #900 (F,wt=27): 38374 f(f(c_0,f(x,f(x,y))),f(x,f(f(z,f(z,y)),f(f(x,y),f(z,f(z,y)))))) = c_0 # label(false). [para(38323(a,1),24622(a,1,2,2,2)),rewrite([24613(1),24613(3),24613(4),24613(10),24613(11),24613(13)])]. given #901 (F,wt=27): 38382 f(f(x,y),f(c_0,f(x,f(x,f(f(z,f(y,z)),f(f(x,y),f(z,f(y,z)))))))) = c_0 # label(false). [para(38323(a,1),26421(a,1,1,2,2)),rewrite([24613(1),24613(2),7716(3),24613(5)])]. Low Water (keep): wt=43.000, iters=6681 given #902 (F,wt=27): 38451 f(f(c_0,f(x,f(y,x))),f(x,f(f(z,f(y,z)),f(f(y,x),f(z,f(y,z)))))) = c_0 # label(false). [para(38323(a,1),32413(a,1,2,2,2,2,2)),rewrite([11(3),7716(10),11(12),24613(11),26180(12),24613(13)])]. given #903 (T,wt=15): 40042 f(x,f(c_0,f(y,f(x,f(z,f(y,y)))))) = c_0. [para(11(a,1),39910(a,1,2,2,2)),rewrite([24613(5)])]. given #904 (T,wt=15): 40100 f(x,f(c_0,f(f(x,y),f(c_0,f(z,y))))) = c_0. [para(11(a,1),39911(a,1,2,2,2,2)),rewrite([9899(4,R),24613(4),24613(6)])]. given #905 (T,wt=15): 40455 f(x,f(c_0,f(f(y,x),f(c_0,f(z,y))))) = c_0. [para(40100(a,1),32621(a,1,1,2)),rewrite([24613(5),10913(5),24613(2),24613(10),27028(19),24613(3)]),flip(a)]. given #906 (T,wt=17): 37558 f(x,f(f(x,y),f(z,f(c_0,f(u,y))))) = f(x,y). [para(32800(a,1),37351(a,1,2,2,2)),rewrite([24613(6),32800(13)])]. given #907 (A,wt=57): 25049 f(f(x,f(y,f(y,x))),f(c_0,f(f(z,f(x,f(y,f(y,x)))),f(f(y,f(c_0,f(z,f(x,f(y,f(y,x)))))),f(f(x,f(y,f(y,x))),f(f(y,x),f(z,f(x,f(y,f(y,x)))))))))) = c_0. [back_rewrite(22968),rewrite([24613(3),24613(7),24613(12),24613(15),24613(19),24613(24),24613(25)])]. given #908 (F,wt=27): 38515 f(f(c_0,f(x,f(x,y))),f(x,f(f(z,f(y,z)),f(f(x,y),f(z,f(y,z)))))) = c_0 # label(false). [para(38369(a,1),32413(a,1,2,2,2,2,2)),rewrite([24613(3),543(3),7716(10),24613(12),543(12),24613(11),7716(12),24613(13)])]. given #909 (F,wt=27): 38694 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))) = c_0 # label(false). [para(38474(a,1),24622(a,1,2,2,2)),rewrite([24613(13)])]. given #910 (F,wt=27): 38700 f(x,f(c_0,f(f(y,x),f(f(y,x),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))))) = c_0 # label(false). [para(38474(a,1),26421(a,1,1,2,2)),rewrite([15203(4)])]. given #911 (F,wt=27): 38746 f(f(x,y),f(x,f(f(z,f(x,y)),f(f(z,z),f(f(z,z),f(c_0,f(x,y))))))) = x # label(false). [para(15153(a,1),38239(a,1,2,1)),rewrite([24613(3),9899(7,R),24613(7),24613(9),15153(17)])]. given #912 (T,wt=17): 37624 f(x,f(x,f(f(y,z),f(z,x)))) = f(x,f(z,x)). [para(37602(a,1),27456(a,2,2)),rewrite([24613(2),24613(4),24613(9),24613(11),24613(13),24613(15),24613(18),27705(19),24613(6)])]. given #913 (T,wt=13): 40598 f(x,f(f(y,z),f(z,x))) = f(z,x). [para(37624(a,1),26420(a,1,2,2)),rewrite([15203(7),24613(4)])]. given #914 (T,wt=17): 38050 f(f(x,x),f(y,f(x,y))) = f(f(x,x),f(y,y)). [para(11(a,1),37904(a,1,2,2,2)),rewrite([24613(2)])]. given #915 (T,wt=17): 38139 f(x,f(f(y,f(x,y)),f(f(x,x),f(y,y)))) = c_0. [back_rewrite(37862),rewrite([38050(6)])]. given #916 (A,wt=55): 25050 f(f(x,f(c_0,f(y,f(z,f(z,y))))),f(f(z,f(z,y)),f(c_0,f(f(c_0,f(y,f(z,f(z,y)))),f(z,f(z,f(x,f(c_0,f(y,f(z,f(z,y))))))))))) = f(c_0,f(y,f(z,f(z,y)))). [back_rewrite(22958),rewrite([24613(4),24613(13),24613(15),24613(16),24613(21),24613(23),24613(30)])]. given #917 (F,wt=25): 40508 f(x,f(f(y,x),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))) = f(y,x) # label(false). [para(11(a,1),38746(a,1,2,2,1,2)),rewrite([11(3),24613(2),11(8),24613(6),9899(6),24613(6)])]. given #918 (F,wt=27): 39134 f(f(x,y),f(c_0,f(x,f(x,f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))))) = c_0 # label(false). [para(38841(a,1),15610(a,1,2,2,2)),rewrite([24613(11)])]. given #919 (F,wt=27): 39137 f(f(c_0,f(x,f(x,y))),f(x,f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(38841(a,1),24622(a,1,2,2,2)),rewrite([24613(11),24613(13)])]. given #920 (F,wt=27): 39211 f(f(x,y),f(c_0,f(y,f(y,f(f(z,f(y,z)),f(f(x,y),f(z,f(y,z)))))))) = c_0 # label(false). [para(39136(a,1),15610(a,1,2,2,2)),rewrite([24613(11)])]. given #921 (T,wt=17): 38594 f(f(x,y),f(c_0,f(f(z,x),f(x,f(x,y))))) = x. [para(35328(a,1),24613(a,2)),rewrite([24613(3),24613(7),24613(8)])]. given #922 (T,wt=17): 38614 f(f(x,y),f(x,f(f(x,f(x,y)),f(z,u)))) = x. [para(7716(a,1),35785(a,1,1))]. given #923 (T,wt=17): 38615 f(f(x,y),f(y,f(f(y,f(x,y)),f(z,u)))) = y. [para(26180(a,1),35785(a,1,1))]. given #924 (T,wt=17): 38997 f(x,f(c_0,f(f(y,x),f(f(y,x),f(y,z))))) = c_0. [para(38947(a,1),26421(a,1,1,2,2)),rewrite([15203(4)])]. given #925 (A,wt=45): 25060 f(f(x,y),f(c_0,f(y,f(f(y,f(f(x,y),f(f(y,z),f(c_0,f(z,f(y,f(y,z))))))),f(f(c_0,f(x,y)),f(c_0,f(z,f(y,f(y,z))))))))) = c_0. [back_rewrite(22902),rewrite([24613(4),24613(9),24613(16),24613(19),24613(20),24613(21),24613(22),24613(23)])]. given #926 (F,wt=27): 39234 f(f(c_0,f(x,f(y,x))),f(x,f(f(z,f(x,z)),f(f(y,x),f(z,f(x,z)))))) = c_0 # label(false). [para(39136(a,1),32413(a,1,2,2,2,2,2)),rewrite([11(3),7716(10),11(12),24613(11),26180(12),24613(13)])]. given #927 (F,wt=27): 39245 f(f(x,y),f(y,f(c_0,f(f(z,f(z,f(x,y))),f(f(z,z),f(c_0,f(x,y))))))) = y # label(false). [para(11(a,1),38748(a,1,2,1)),rewrite([24613(4),9899(8,R),24613(8),24613(10),11(17)])]. given #928 (F,wt=27): 39247 f(x,f(f(x,y),f(c_0,f(f(z,f(x,x)),f(f(z,z),f(x,f(z,z))))))) = f(x,y) # label(false). [para(11(a,1),38748(a,1,2,2,2,2,2)),rewrite([24613(8),24613(9)])]. given #929 (F,wt=27): 39248 f(f(x,y),f(x,f(c_0,f(f(z,f(z,f(x,y))),f(f(z,z),f(c_0,f(x,y))))))) = x # label(false). [para(15153(a,1),38748(a,1,2,1)),rewrite([24613(4),9899(8,R),24613(8),24613(10),15153(18)])]. given #930 (T,wt=17): 39498 f(f(x,y),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(37141(a,1),32621(a,1,1,2)),rewrite([24613(5),24613(10),24613(11),26878(23),24613(2)]),flip(a)]. given #931 (T,wt=17): 39697 f(f(x,y),f(x,f(c_0,f(y,z)))) = f(c_0,f(x,y)). [para(37556(a,1),37352(a,1,2)),rewrite([9899(3,R),24613(3)]),flip(a)]. given #932 (T,wt=17): 40049 f(x,f(c_0,f(f(x,y),f(f(y,z),f(y,u))))) = c_0. [para(24194(a,1),39910(a,1,2,2,1,2)),rewrite([9899(13,R),24613(9),10913(9)])]. given #933 (T,wt=17): 40419 f(x,f(c_0,f(f(x,y),f(f(z,y),f(y,u))))) = c_0. [para(33047(a,1),40042(a,1,2,2,2,2)),rewrite([24613(6)])]. given #934 (A,wt=45): 25089 f(f(x,y),f(y,f(y,f(f(y,f(f(x,y),f(f(y,z),f(c_0,f(z,f(y,f(y,z))))))),f(f(c_0,f(x,y)),f(c_0,f(z,f(y,f(y,z))))))))) = y. [back_rewrite(22750),rewrite([24613(3),24613(8),24613(15),24613(18),24613(19),24613(20),24613(21),24613(22)])]. given #935 (F,wt=25): 41254 f(x,f(f(y,x),f(c_0,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))) = f(y,x) # label(false). [para(11(a,1),39248(a,1,2,2,2,1,2,2)),rewrite([11(3),24613(3),11(9),24613(7),9899(7),24613(7)])]. given #936 (F,wt=27): 40213 f(f(x,y),f(c_0,f(x,f(x,f(f(z,f(z,y)),f(f(x,y),f(z,f(z,y)))))))) = c_0 # label(false). [para(38371(a,1),24613(a,1)),rewrite([24613(3),24613(5),24613(6),24613(13),24613(14)]),flip(a)]. given #937 (F,wt=27): 40359 f(f(x,x),f(f(x,f(x,y)),f(f(z,f(x,z)),f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(7716(a,1),38451(a,1,1,2,2)),rewrite([24613(5),15153(5),24613(2),9899(2),7716(8)])]. given #938 (F,wt=27): 40360 f(f(x,x),f(f(x,y),f(f(z,f(x,z)),f(f(x,f(x,y)),f(z,f(x,z)))))) = c_0 # label(false). [para(15153(a,1),38451(a,1,1,2)),rewrite([24613(2),9899(2)])]. given #939 (T,wt=17): 40435 f(x,f(c_0,f(y,f(x,f(f(y,y),f(z,u)))))) = c_0. [para(26518(a,1),40100(a,1,2,2,2,2)),rewrite([9849(8),24613(6)])]. given #940 (T,wt=17): 40612 f(x,f(c_0,f(f(x,y),f(f(x,y),f(z,y))))) = c_0. [para(40598(a,1),15610(a,1,2,2,2)),rewrite([24613(3),24613(4),24613(5),24613(6)])]. given #941 (T,wt=17): 40645 f(f(x,f(x,y)),f(y,y)) = f(f(x,x),f(y,y)). [para(38050(a,1),24613(a,2)),rewrite([24613(1),24613(7)])]. Low Water (keep): wt=41.000, iters=6773 given #942 (T,wt=17): 40805 f(x,f(f(y,f(y,x)),f(f(y,y),f(x,x)))) = c_0. [para(38139(a,1),24613(a,1)),rewrite([24613(2),24613(6),24613(8)]),flip(a)]. given #943 (A,wt=33): 25122 f(f(x,y),f(c_0,f(f(z,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(u,f(c_0,f(x,y))))))) = f(c_0,f(x,y)). [back_rewrite(22658),rewrite([24613(13),24613(14),24613(17)])]. given #944 (F,wt=27): 40977 f(f(c_0,f(x,y)),f(x,f(f(z,f(x,z)),f(f(x,f(x,y)),f(z,f(x,z)))))) = c_0 # label(false). [para(7716(a,1),39137(a,1,1,2))]. given #945 (F,wt=27): 40979 f(f(c_0,f(x,y)),f(y,f(f(z,f(y,z)),f(f(y,f(x,y)),f(z,f(y,z)))))) = c_0 # label(false). [para(26180(a,1),39137(a,1,1,2))]. given #946 (F,wt=29): 37797 f(f(x,f(c_0,f(y,z))),f(z,f(z,f(c_0,f(f(y,z),f(f(x,f(x,z)),f(y,z))))))) = z # label(false). [para(24613(a,1),37736(a,1,1,2,2)),rewrite([24613(6),24613(9)])]. given #947 (F,wt=29): 38240 f(f(x,x),f(f(y,f(x,x)),f(f(z,f(x,z)),f(f(x,x),f(z,z))))) = f(y,f(x,x)) # label(false). [para(11(a,1),38056(a,1,2,2,2,2,2)),rewrite([24613(3),24613(7),24613(9),24613(13)])]. given #948 (T,wt=17): 41312 f(f(x,y),f(y,f(c_0,f(x,z)))) = f(c_0,f(x,y)). [para(24613(a,1),39697(a,1,1)),rewrite([24613(8)])]. given #949 (T,wt=17): 41554 f(x,f(c_0,f(f(y,x),f(f(y,z),f(y,u))))) = c_0. [para(40049(a,1),32621(a,1,1,2)),rewrite([24613(5),24613(6),24613(14),26878(23),24613(3)]),flip(a)]. given #950 (T,wt=17): 41598 f(x,f(c_0,f(f(y,x),f(f(z,y),f(y,u))))) = c_0. [para(40419(a,1),32621(a,1,1,2)),rewrite([24613(5),24613(6),24613(14),26878(23),24613(3)]),flip(a)]. given #951 (T,wt=17): 41777 f(f(c_0,f(x,y)),f(f(z,z),f(x,x))) = f(x,y). [para(40645(a,1),32317(a,1,1)),rewrite([24613(7)])]. given #952 (A,wt=27): 25123 f(f(c_0,f(x,y)),f(c_0,f(f(z,f(x,y)),f(f(x,y),f(u,f(x,y)))))) = f(x,y). [back_rewrite(22657),rewrite([24613(7),24613(8),24613(13)])]. given #953 (F,wt=29): 38301 f(f(x,y),f(c_0,f(y,f(y,f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(38238(a,1),15610(a,1,2,2,2)),rewrite([24613(13)])]. Low Water (keep): wt=39.000, iters=6678 given #954 (F,wt=29): 38303 f(f(c_0,f(x,f(x,y))),f(x,f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(38238(a,1),24622(a,1,2,2,2)),rewrite([24613(2),24613(6),24613(12),24613(13),24613(15)])]. given #955 (F,wt=29): 38308 f(f(x,y),f(c_0,f(x,f(x,f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(38238(a,1),26421(a,1,1,2,2)),rewrite([24613(1),24613(2),7716(3),24613(4),24613(8)])]. given #956 (F,wt=29): 38351 f(f(c_0,f(x,f(y,x))),f(x,f(f(z,f(z,f(c_0,f(y,x)))),f(f(y,x),f(z,z))))) = c_0 # label(false). [para(38238(a,1),32413(a,1,2,2,2,2,2)),rewrite([11(3),7716(12),11(14),24613(13),26180(14),24613(15)])]. given #957 (T,wt=17): 41783 f(f(c_0,f(x,y)),f(x,f(f(z,z),f(y,y)))) = c_0. [para(40645(a,1),33286(a,1,1,2)),rewrite([9899(8,R),24613(8),9849(8),24613(8)])]. given #958 (T,wt=19): 26644 f(f(c_0,f(x,f(y,z))),f(c_0,f(u,f(c_0,f(y,z))))) = c_0. [para(12170(a,1),26376(a,1,1,2,2)),rewrite([24613(9)])]. given #959 (T,wt=19): 26645 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(12170(a,1),26376(a,1,2,2)),rewrite([9899(6,R),24613(5),24613(11)])]. given #960 (T,wt=19): 26673 f(f(x,y),f(c_0,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = c_0. [para(12170(a,1),26377(a,1,1))]. given #961 (A,wt=45): 25143 f(f(x,y),f(c_0,f(y,f(f(c_0,f(f(x,y),f(f(y,z),f(c_0,f(z,f(y,f(y,z))))))),f(f(c_0,f(x,y)),f(c_0,f(z,f(y,f(y,z))))))))) = c_0. [back_rewrite(22461),rewrite([24613(4),24613(9),24613(17),24613(20),24613(21),24613(23),24613(24)])]. given #962 (F,wt=29): 38747 f(x,f(c_0,f(f(x,y),f(f(x,y),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))))) = c_0 # label(false). [para(38239(a,1),15610(a,1,2,2,2)),rewrite([24613(12)])]. given #963 (F,wt=29): 38752 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))) = c_0 # label(false). [para(38239(a,1),24622(a,1,2,2,2)),rewrite([24613(14)])]. given #964 (F,wt=29): 39249 f(x,f(c_0,f(f(x,y),f(f(x,y),f(c_0,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))))) = c_0 # label(false). [para(38748(a,1),15610(a,1,2,2,2)),rewrite([24613(13)])]. given #965 (F,wt=29): 39253 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(c_0,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))) = c_0 # label(false). [para(38748(a,1),24622(a,1,2,2,2)),rewrite([24613(15)])]. given #966 (T,wt=19): 26698 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(z,f(x,x)))) = c_0. [para(10812(a,1),26456(a,1,2,2,2)),rewrite([24613(11),10913(11)])]. given #967 (T,wt=19): 27001 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,x)))))) = f(x,y). [para(26672(a,1),26415(a,1,2,2,2)),rewrite([24613(10),10913(10)])]. given #968 (T,wt=19): 27108 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(z,f(x,x)))) = c_0. [para(26990(a,1),24622(a,1,2,2,2)),rewrite([24613(9)])]. given #969 (T,wt=19): 27135 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(x,z))). [para(24194(a,1),11(a,1,1)),rewrite([9899(11,R),24613(7),10913(7)]),flip(a)]. given #970 (A,wt=45): 25178 f(f(x,y),f(y,f(y,f(f(c_0,f(f(x,y),f(f(y,z),f(c_0,f(z,f(y,f(y,z))))))),f(f(c_0,f(x,y)),f(c_0,f(z,f(y,f(y,z))))))))) = y. [back_rewrite(22298),rewrite([24613(3),24613(8),24613(16),24613(19),24613(20),24613(22),24613(23)])]. given #971 (F,wt=29): 39281 f(x,f(x,f(f(x,y),f(c_0,f(f(z,f(z,x)),f(f(z,z),f(x,x))))))) = f(x,f(x,y)) # label(false). [para(38748(a,1),27456(a,2,2)),rewrite([24613(2),24613(6),24613(11),24613(15),24613(23),24613(27),24613(32),24613(36),24613(43),24613(47),24613(53),27703(54)])]. given #972 (F,wt=29): 39774 f(f(x,x),f(f(x,f(x,y)),f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(11(a,1),38062(a,1,1,2)),rewrite([24613(2),9899(2),24613(2),24613(3),24613(5),543(5),24613(3),24613(4),24613(7),24613(8),9899(9,R),24613(9),24613(12)])]. given #973 (F,wt=29): 39775 f(f(x,x),f(f(x,f(y,x)),f(f(z,f(z,f(c_0,f(y,x)))),f(f(y,x),f(z,z))))) = c_0 # label(false). [para(11(a,1),38062(a,1,2,1,2)),rewrite([11(4),24613(2),9899(2),24613(3),9899(9,R),24613(9),24613(12)])]. given #974 (F,wt=27): 42621 f(f(x,x),f(f(x,f(x,y)),f(f(z,f(y,z)),f(f(x,y),f(z,f(y,z)))))) = c_0 # label(false). [para(27942(a,1),39775(a,1,2,2,1,2)),rewrite([24613(2),24613(5),24613(9),10913(9),24613(6),24613(8),24613(12),9899(15,R),24613(12),10913(12)])]. given #975 (T,wt=17): 42515 f(f(c_0,f(x,y)),f(x,f(f(x,z),f(x,y)))) = c_0. [para(27135(a,1),33286(a,1,1)),rewrite([9899(9,R),24613(9),10913(10),24613(8)])]. given #976 (T,wt=19): 27136 f(f(x,f(y,x)),f(c_0,f(x,f(z,f(y,x))))) = f(y,x). [para(11(a,1),24194(a,1,1,2)),rewrite([24613(2),11(6),24613(5)])]. given #977 (T,wt=19): 27154 f(f(f(x,y),f(x,z)),f(x,f(f(x,y),f(x,z)))) = c_0. [para(24194(a,1),24748(a,1,1,2)),rewrite([24613(4),10913(11),24613(8)])]. given #978 (T,wt=19): 27179 f(f(c_0,f(x,y)),f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(11(a,1),27148(a,1,2,2,1)),rewrite([9899(3,R),24613(3),24613(6)])]. given #979 (A,wt=47): 25288 f(f(x,y),f(f(f(x,x),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))),f(c_0,f(x,f(f(z,f(x,y)),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))))))) = x. [back_rewrite(20763),rewrite([24613(6),24613(8),24613(13),24613(17),24613(19),24613(22)])]. given #980 (F,wt=27): 42629 f(f(x,x),f(f(x,f(x,y)),f(f(z,f(z,y)),f(f(x,y),f(z,f(z,y)))))) = c_0 # label(false). [para(24613(a,1),42621(a,1,2)),rewrite([24613(2),24613(5),24613(11)])]. given #981 (F,wt=29): 39776 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))) = c_0 # label(false). [para(11(a,1),38062(a,1,2,2,1,2)),rewrite([24613(10)])]. given #982 (F,wt=29): 39808 f(f(c_0,f(x,y)),f(f(y,f(x,y)),f(f(y,z),f(f(z,z),f(f(y,y),f(z,z)))))) = c_0 # label(false). [para(11(a,1),38063(a,1,2,2,1,2)),rewrite([24613(10)])]. given #983 (F,wt=29): 40811 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(c_0,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))) = c_0 # label(false). [para(38139(a,1),26578(a,1,2,2,2)),rewrite([24613(13)])]. given #984 (T,wt=15): 42744 f(x,f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(27179(a,1),41777(a,1,1,2)),rewrite([9899(11,R),24613(9),10913(9),24613(6),26248(7),42739(10)]),flip(a)]. given #985 (T,wt=15): 43126 f(x,f(c_0,f(y,f(z,f(y,x))))) = f(y,x). [para(42744(a,1),24613(a,2)),rewrite([24613(2),24613(6),24613(7)])]. given #986 (T,wt=15): 43337 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(x,y))). [para(32800(a,1),43126(a,1,2,2,2)),rewrite([24613(5),42739(7)])]. given #987 (T,wt=15): 43451 f(x,f(c_0,f(y,f(z,f(x,x))))) = f(x,y). [para(607(a,1),43337(a,2,2,2)),rewrite([24613(4),9849(9),24613(7)])]. given #988 (A,wt=41): 25323 f(f(x,f(y,z)),f(f(y,z),f(f(u,f(y,z)),f(f(y,z),f(f(y,z),f(c_0,f(z,f(f(y,z),f(x,f(y,z)))))))))) = f(y,z). [back_rewrite(20638),rewrite([24613(9),24613(11),24613(16),24613(17)])]. given #989 (F,wt=19): 43559 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(x,y)))))))) = c_0 # label(false). [para(43337(a,1),26569(a,1)),rewrite([24613(2),24613(7)])]. Low Water (keep): wt=37.000, iters=6666 given #990 (F,wt=19): 43561 f(x,f(c_0,f(y,f(x,f(z,f(z,f(x,f(x,y)))))))) = c_0 # label(false). [para(43337(a,2),26569(a,1))]. given #991 (F,wt=19): 44594 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(y,x)))))))) = c_0 # label(false). [para(43559(a,1),24613(a,1)),rewrite([24613(3),24613(10)]),flip(a)]. given #992 (F,wt=19): 44653 f(x,f(c_0,f(y,f(x,f(z,f(z,f(x,f(y,x)))))))) = c_0 # label(false). [para(43561(a,1),24613(a,1)),rewrite([24613(3),24613(10)]),flip(a)]. given #993 (T,wt=15): 43452 f(x,f(c_0,f(y,z))) = f(y,f(c_0,f(x,z))). [para(43337(a,1),7716(a,1,2,2)),rewrite([32520(6),24613(6)])]. given #994 (T,wt=15): 43468 f(f(c_0,f(x,y)),f(c_0,f(z,f(z,y)))) = c_0. [para(15610(a,1),43337(a,1,2,2)),rewrite([9870(4),24613(3),24613(9)]),flip(a)]. given #995 (T,wt=15): 43478 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(y,x))). [para(43337(a,1),24613(a,2)),rewrite([24613(4),24613(6)])]. given #996 (T,wt=15): 43488 f(x,f(c_0,f(y,f(y,f(z,f(x,y)))))) = c_0. [para(43337(a,1),24747(a,1)),rewrite([24613(2),24613(5)])]. given #997 (A,wt=43): 25327 f(f(x,f(c_0,f(y,z))),f(c_0,f(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))))))))))) = c_0. [back_rewrite(20615),rewrite([24613(4),24613(10),24613(15),24613(16),24613(21)])]. given #998 (F,wt=23): 43796 f(f(x,f(y,f(x,y))),f(f(x,f(y,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(43337(a,2),29596(a,1,2,2)),rewrite([24613(1),24613(4),24613(8),24613(10),24613(11),15203(11),24613(8),9899(8),24613(9)])]. given #999 (F,wt=23): 45441 f(f(x,f(y,f(y,x))),f(f(x,f(y,y)),f(z,f(z,f(y,x))))) = c_0 # label(false). [para(24613(a,1),43796(a,1,1)),rewrite([24613(1),24613(3),24613(6)])]. given #1000 (F,wt=25): 43254 f(f(f(x,y),f(z,f(x,z))),f(f(x,f(x,y)),f(f(x,x),f(z,z)))) = c_0 # label(false). [back_rewrite(41878),rewrite([43151(14),38050(10)])]. given #1001 (F,wt=25): 43267 f(x,f(f(f(x,x),f(y,y)),f(f(x,z),f(f(x,z),f(y,f(x,y)))))) = c_0 # label(false). [back_rewrite(40807),rewrite([43151(8),38050(4)])]. given #1002 (T,wt=15): 43490 f(x,f(c_0,f(y,f(x,f(z,f(x,y)))))) = c_0. [para(43337(a,2),24747(a,1))]. given #1003 (T,wt=15): 43552 f(f(x,y),f(y,f(x,f(c_0,f(y,z))))) = y. [para(43337(a,2),26396(a,1,2,2))]. given #1004 (T,wt=15): 43580 f(f(x,y),f(x,f(y,f(c_0,f(x,z))))) = x. [para(43337(a,1),26663(a,1,2,2)),rewrite([24613(3)])]. given #1005 (T,wt=15): 43664 f(x,f(c_0,f(y,f(c_0,f(z,f(x,y)))))) = c_0. [para(43337(a,2),28007(a,1,2,2)),rewrite([24613(4)])]. given #1006 (A,wt=43): 25352 f(f(x,f(c_0,f(y,z))),f(y,f(c_0,f(f(c_0,f(y,z)),f(f(y,f(y,z)),f(f(y,f(y,z)),f(x,f(c_0,f(y,z))))))))) = f(c_0,f(y,z)). [back_rewrite(20342),rewrite([24613(6),24613(11),24613(12),24613(14),24613(19)])]. given #1007 (F,wt=25): 43923 f(f(x,y),f(y,f(f(z,f(y,f(c_0,f(x,z)))),f(f(x,y),f(z,z))))) = y # label(false). [para(43337(a,1),38238(a,1,2,2,1,2)),rewrite([24613(3)])]. given #1008 (F,wt=25): 43924 f(f(x,y),f(y,f(f(z,f(x,f(c_0,f(y,z)))),f(f(x,y),f(z,z))))) = y # label(false). [para(43337(a,2),38238(a,1,2,2,1,2))]. given #1009 (F,wt=25): 43945 f(f(x,y),f(x,f(f(z,f(y,f(c_0,f(x,z)))),f(f(x,y),f(z,z))))) = x # label(false). [para(43337(a,1),38242(a,1,2,2,1,2)),rewrite([24613(3)])]. given #1010 (F,wt=25): 43949 f(f(x,y),f(x,f(f(z,f(x,f(c_0,f(y,z)))),f(f(x,y),f(z,z))))) = x # label(false). [para(43337(a,2),38242(a,1,2,2,1,2))]. given #1011 (T,wt=15): 44950 f(x,f(c_0,f(y,f(y,f(z,f(y,x)))))) = c_0. [para(43488(a,1),24613(a,1)),rewrite([24613(3),24613(8)]),flip(a)]. given #1012 (T,wt=15): 45042 f(x,f(c_0,f(y,f(c_0,f(z,f(y,x)))))) = c_0. [para(26644(a,1),25327(a,1,2,2,2,2,2,2,2)),rewrite([10913(6),10913(9),24613(13),45033(13),10913(19),24613(21),10913(21),36523(20),26180(10),45033(8)])]. given #1013 (T,wt=15): 45636 f(x,f(c_0,f(y,f(x,f(z,f(y,x)))))) = c_0. [para(43490(a,1),24613(a,1)),rewrite([24613(3),24613(8)]),flip(a)]. given #1014 (T,wt=15): 45722 f(f(x,f(y,f(z,z))),f(x,f(z,x))) = x. [para(32519(a,1),43552(a,1,2,2)),rewrite([24613(3),24613(4)])]. given #1015 (A,wt=43): 25418 f(f(x,f(c_0,f(y,z))),f(z,f(c_0,f(f(c_0,f(y,z)),f(f(z,f(y,z)),f(f(z,f(y,z)),f(x,f(c_0,f(y,z))))))))) = f(c_0,f(y,z)). [back_rewrite(19917),rewrite([24613(6),24613(11),24613(12),24613(14),24613(19)])]. given #1016 (F,wt=25): 43968 f(x,f(f(f(x,x),f(y,y)),f(c_0,f(f(x,z),f(y,f(x,y)))))) = f(x,z) # label(false). [para(43337(a,1),38748(a,1,2))]. given #1017 (F,wt=25): 43970 f(x,f(f(y,f(x,y)),f(c_0,f(f(x,z),f(f(x,x),f(y,y)))))) = f(x,z) # label(false). [para(43337(a,2),38748(a,1,2)),rewrite([24613(8)])]. given #1018 (F,wt=25): 45527 f(f(f(x,y),f(f(x,x),f(z,z))),f(f(x,f(x,y)),f(z,f(x,z)))) = c_0 # label(false). [para(7716(a,1),43254(a,1,2,1)),rewrite([24613(11)])]. given #1019 (F,wt=25): 45530 f(f(f(x,y),f(z,f(y,z))),f(f(y,f(x,y)),f(f(y,y),f(z,z)))) = c_0 # label(false). [para(24613(a,1),43254(a,1,1,1)),rewrite([24613(5)])]. given #1020 (T,wt=17): 43449 f(f(x,y),f(x,f(c_0,f(z,y)))) = f(c_0,f(x,y)). [para(43337(a,1),11(a,1,1)),rewrite([24613(6),24613(9),9899(11,R),24613(9),10913(9),24613(6),24613(8)])]. given #1021 (T,wt=17): 43450 f(f(x,x),f(c_0,f(y,f(x,z)))) = f(y,f(x,x)). [para(11(a,1),43337(a,1,2,2)),rewrite([24613(2),9899(2),24613(5)]),flip(a)]. Low Water (keep): wt=35.000, iters=6671 given #1022 (T,wt=17): 43506 f(x,f(c_0,f(y,f(f(x,x),f(z,u))))) = f(x,y). [para(26518(a,1),43337(a,2,2,2)),rewrite([24613(5),9849(10),24613(8)])]. given #1023 (T,wt=17): 45399 f(x,f(c_0,f(y,f(c_0,f(f(y,x),f(z,u)))))) = c_0. [back_rewrite(26264),rewrite([45033(9)])]. given #1024 (A,wt=27): 25441 f(f(x,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(19796),rewrite([24613(5),24613(10)])]. given #1025 (F,wt=25): 45531 f(f(f(x,f(x,y)),f(y,z)),f(f(y,f(y,z)),f(f(x,x),f(y,y)))) = c_0 # label(false). [para(24613(a,1),43254(a,1,1)),rewrite([24613(1),24613(9)])]. given #1026 (F,wt=25): 45880 f(f(x,y),f(x,f(f(z,f(x,f(c_0,f(z,y)))),f(f(x,y),f(z,z))))) = x # label(false). [para(43923(a,1),24613(a,1)),rewrite([24613(2),24613(6),24613(11),24613(12)]),flip(a)]. given #1027 (F,wt=25): 46261 f(x,f(f(y,f(y,x)),f(c_0,f(f(x,z),f(f(y,y),f(x,x)))))) = f(x,z) # label(false). [para(43970(a,1),24613(a,2)),rewrite([24613(1),24613(7),24613(11)])]. given #1028 (F,wt=25): 46336 f(f(f(x,y),f(f(y,y),f(z,z))),f(f(y,f(x,y)),f(z,f(y,z)))) = c_0 # label(false). [para(24613(a,1),45527(a,1,1,1)),rewrite([24613(6)])]. given #1029 (T,wt=17): 45765 f(f(x,y),f(y,f(x,f(f(y,z),f(y,u))))) = y. [para(27135(a,2),43552(a,1,2,2,2,2)),rewrite([10913(8)])]. given #1030 (T,wt=17): 45803 f(f(x,y),f(x,f(y,f(f(x,z),f(x,u))))) = x. [para(27135(a,2),43580(a,1,2,2,2,2)),rewrite([10913(8)])]. given #1031 (T,wt=17): 45857 f(x,f(c_0,f(y,f(x,f(f(x,y),f(x,z)))))) = c_0. [para(27135(a,1),43664(a,1,2,2,2)),rewrite([24613(4)])]. given #1032 (T,wt=17): 46110 f(x,f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(27135(a,1),45042(a,1,2,2,2)),rewrite([24613(3),24613(4)])]. given #1033 (A,wt=45): 25566 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(w,f(y,y)))))))) = f(y,y). [back_rewrite(19145),rewrite([24613(5),24613(6),24613(9),24613(16),24613(17)])]. given #1034 (F,wt=25): 46868 f(f(f(x,f(x,y)),f(y,f(y,z))),f(f(y,z),f(f(x,x),f(y,y)))) = c_0 # label(false). [para(7716(a,1),45531(a,1,2,1))]. given #1035 (F,wt=27): 43989 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(z,z),f(y,f(c_0,f(x,f(z,z)))))))) = y # label(false). [para(43337(a,1),38300(a,1,2,2,2,2)),rewrite([24613(7)])]. given #1036 (F,wt=25): 47159 f(f(f(x,f(x,y)),f(y,z)),f(f(y,y),f(f(x,x),f(y,y)))) = f(y,z) # label(false). [para(28208(a,1),43989(a,1,2,2,1)),rewrite([40645(13),32801(14),32319(13)])]. given #1037 (F,wt=25): 47193 f(f(f(x,x),f(f(x,x),f(y,y))),f(f(x,z),f(y,f(x,y)))) = f(x,z) # label(false). [para(47159(a,1),10913(a,1,2,2)),rewrite([10913(5),24613(2),24613(5),24613(9),24613(11)]),flip(a)]. given #1038 (T,wt=17): 46778 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(z,u)))))) = c_0. [para(45399(a,1),7716(a,1,2,2)),rewrite([9899(2),9222(2),24613(4)]),flip(a)]. given #1039 (T,wt=17): 47028 f(x,f(c_0,f(y,f(x,f(f(y,x),f(x,z)))))) = c_0. [para(45857(a,1),24613(a,1)),rewrite([24613(3),24613(9)]),flip(a)]. given #1040 (T,wt=17): 47052 f(x,f(c_0,f(y,f(y,f(f(y,x),f(y,z)))))) = c_0. [para(46110(a,1),24613(a,1)),rewrite([24613(3),24613(9)]),flip(a)]. given #1041 (T,wt=19): 27357 f(c_0,f(x,f(f(x,y),f(x,z)))) = f(f(x,y),f(x,z)). [para(24194(a,1),27297(a,1,2,2)),rewrite([18622(9),24613(5)])]. given #1042 (A,wt=41): 25567 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(w,f(x,x)))))))))) = f(x,x). [back_rewrite(19144),rewrite([24613(8),24613(9),24613(12),24613(14),24613(15)])]. given #1043 (F,wt=25): 47198 f(x,f(f(f(y,y),f(x,x)),f(f(x,z),f(f(y,f(y,x)),f(x,z))))) = c_0 # label(false). [para(47159(a,1),26694(a,1,1,2,2)),rewrite([24613(9),15203(20),9849(13),24613(11)])]. given #1044 (F,wt=27): 43991 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(z,z),f(x,f(c_0,f(y,f(z,z)))))))) = y # label(false). [para(43337(a,2),38300(a,1,2,2,2,2))]. given #1045 (F,wt=27): 44005 f(f(x,y),f(x,f(f(z,f(x,y)),f(f(z,z),f(y,f(c_0,f(x,f(z,z)))))))) = x # label(false). [para(43337(a,1),38746(a,1,2,2,2,2)),rewrite([24613(7)])]. given #1046 (F,wt=25): 47368 f(f(f(x,y),f(z,f(y,z))),f(f(y,y),f(f(y,y),f(z,z)))) = f(x,y) # label(false). [para(26416(a,1),44005(a,1,2,2,1)),rewrite([11(13),24613(11),9899(11),24613(11),38050(11),35680(13)])]. given #1047 (T,wt=19): 27857 f(f(x,x),f(f(y,f(x,x)),f(x,z))) = f(y,f(x,x)). [para(24982(a,1),26663(a,1,2,2,2,2)),rewrite([24982(13),9849(6),24613(4)])]. given #1048 (T,wt=19): 28017 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(u,f(x,x)))))) = c_0. [para(24727(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(7)])]. given #1049 (T,wt=19): 28018 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(24747(a,1),27942(a,1,1,2,2)),rewrite([24613(6),10913(7),24613(8)])]. given #1050 (T,wt=19): 28028 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(26377(a,1),27942(a,1,1,2,2)),rewrite([24613(4),9849(4),24613(2),9899(2),24613(5),24613(9)])]. given #1051 (A,wt=55): 25579 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(w,f(y,y)),f(f(y,y),f(u,f(u,f(v5,f(y,y)))))))))))) = c_0. [back_rewrite(19088),rewrite([24613(7),24613(8),24613(11),24613(14),24613(15),24613(18),24613(20),24613(21)])]. given #1052 (F,wt=27): 44007 f(f(x,y),f(x,f(f(z,f(x,y)),f(f(z,z),f(x,f(c_0,f(y,f(z,z)))))))) = x # label(false). [para(43337(a,2),38746(a,1,2,2,2,2))]. given #1053 (F,wt=27): 44034 f(f(x,y),f(y,f(c_0,f(f(z,f(z,f(x,y))),f(y,f(c_0,f(x,f(z,z)))))))) = y # label(false). [para(43337(a,1),39245(a,1,2,2,2,2)),rewrite([24613(8)])]. given #1054 (F,wt=27): 44035 f(f(x,y),f(f(c_0,f(y,f(z,f(z,f(x,y))))),f(f(z,z),f(c_0,f(x,y))))) = y # label(false). [para(43337(a,1),39245(a,1,2)),rewrite([24613(13)])]. given #1055 (F,wt=27): 44036 f(f(x,y),f(y,f(c_0,f(f(z,f(z,f(x,y))),f(x,f(c_0,f(y,f(z,z)))))))) = y # label(false). [para(43337(a,2),39245(a,1,2,2,2,2))]. given #1056 (T,wt=19): 28042 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [para(26672(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(9)])]. given #1057 (T,wt=19): 28080 f(f(x,y),f(c_0,f(z,f(z,f(u,f(c_0,f(x,y))))))) = c_0. [para(12170(a,1),27943(a,1,1))]. given #1058 (T,wt=19): 28116 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(z,f(x,u))))))) = c_0. [para(27943(a,1),27942(a,1,1,2,2)),rewrite([24613(4),9849(4),24613(2),9899(2),24613(4),24613(8)])]. given #1059 (T,wt=19): 28144 f(x,f(f(y,f(x,y)),f(x,f(z,u)))) = f(x,f(z,u)). [para(12170(a,1),27951(a,1,2,2,2)),rewrite([9899(13,R),24613(11),10913(11)])]. given #1060 (A,wt=37): 25580 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(19080),rewrite([24613(7),24613(8),24613(11),24613(14)])]. given #1061 (F,wt=27): 44037 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(y,f(f(z,z),f(c_0,f(x,y))))))) = y # label(false). [para(43337(a,2),39245(a,1,2)),rewrite([24613(11)])]. given #1062 (F,wt=27): 44040 f(x,f(f(c_0,f(f(x,y),f(z,f(x,x)))),f(f(z,z),f(x,f(z,z))))) = f(x,y) # label(false). [para(43337(a,1),39247(a,1,2)),rewrite([24613(11)])]. given #1063 (F,wt=27): 44041 f(x,f(f(y,f(x,x)),f(c_0,f(f(x,z),f(f(y,y),f(x,f(y,y))))))) = f(x,z) # label(false). [para(43337(a,2),39247(a,1,2)),rewrite([24613(9)])]. given #1064 (F,wt=27): 44045 f(f(x,y),f(x,f(c_0,f(f(z,f(z,f(x,y))),f(y,f(c_0,f(x,f(z,z)))))))) = x # label(false). [para(43337(a,1),39248(a,1,2,2,2,2)),rewrite([24613(8)])]. given #1065 (T,wt=19): 28311 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,u)))))) = f(x,y). [para(28007(a,1),26415(a,1,2,2,2)),rewrite([24613(10),10913(10)])]. given #1066 (T,wt=19): 28340 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,u)))))))) = c_0. [para(28007(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(9)])]. given #1067 (T,wt=19): 28347 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(x,x)))) = c_0. [para(24727(a,1),28010(a,1,2,2,2)),rewrite([24613(11),10913(12)])]. given #1068 (T,wt=19): 28396 f(x,f(f(x,y),f(z,f(z,f(u,f(x,x)))))) = f(x,y). [para(28066(a,1),26415(a,1,2,2,2)),rewrite([24613(9),10913(9)])]. given #1069 (A,wt=45): 25637 f(f(x,y),f(c_0,f(f(z,f(c_0,f(x,y))),f(x,f(f(x,y),f(z,f(y,z))))))) = f(f(z,f(c_0,f(x,y))),f(x,f(f(x,y),f(z,f(y,z))))). [back_rewrite(18853),rewrite([24613(6),24613(10),24613(11),24613(18),24613(22),24613(23)])]. given #1070 (F,wt=27): 44046 f(f(x,y),f(f(c_0,f(x,f(z,f(z,f(x,y))))),f(f(z,z),f(c_0,f(x,y))))) = x # label(false). [para(43337(a,1),39248(a,1,2)),rewrite([24613(13)])]. given #1071 (F,wt=25): 48147 f(x,f(f(c_0,f(f(y,x),f(z,f(x,z)))),f(f(x,x),f(z,z)))) = f(y,x) # label(false). [para(11(a,1),44046(a,1,2,1,2,2,2,2)),rewrite([11(3),24613(3),11(11),24613(9),9899(9),24613(9)])]. given #1072 (F,wt=27): 44048 f(f(x,y),f(x,f(c_0,f(f(z,f(z,f(x,y))),f(x,f(c_0,f(y,f(z,z)))))))) = x # label(false). [para(43337(a,2),39248(a,1,2,2,2,2))]. given #1073 (F,wt=27): 44049 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(x,f(f(z,z),f(c_0,f(x,y))))))) = x # label(false). [para(43337(a,2),39248(a,1,2)),rewrite([24613(11)])]. given #1074 (T,wt=19): 28406 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,x)))))))) = c_0. [para(28066(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(8)])]. given #1075 (T,wt=19): 28417 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(y,y)))) = c_0. [para(24727(a,1),28117(a,1,2,2,2)),rewrite([24613(11),10913(12)])]. given #1076 (T,wt=19): 28644 f(x,f(c_0,f(f(x,f(y,x)),f(z,f(y,x))))) = f(y,x). [para(11(a,1),26046(a,1,2,2,2,2)),rewrite([11(3),24613(3),24613(5),24613(6)])]. given #1077 (T,wt=19): 29422 f(f(x,f(y,f(z,x))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [para(11(a,1),27162(a,1,2,1)),rewrite([9899(4,R),24613(4),24613(8),24613(10)])]. given #1078 (A,wt=25): 25640 f(x,f(f(y,f(c_0,f(x,z))),f(z,f(f(x,z),f(y,f(x,y)))))) = f(x,z). [back_rewrite(18830),rewrite([24613(2),24613(4),24613(6),24613(8),24613(11),24613(14),25638(14),24613(4),24613(8),24613(9)])]. given #1079 (F,wt=25): 48233 f(x,f(f(y,f(x,y)),f(c_0,f(f(z,x),f(f(x,x),f(y,y)))))) = f(z,x) # label(false). [para(11(a,1),44049(a,1,2,1,2,2)),rewrite([11(3),24613(1),11(9),24613(7),9899(7),24613(7)])]. given #1080 (F,wt=27): 44303 f(f(c_0,f(x,y)),f(f(z,f(z,f(y,f(x,x)))),f(c_0,f(y,f(x,f(x,y)))))) = c_0 # label(false). [back_rewrite(29599),rewrite([43460(15),24613(13)])]. given #1081 (F,wt=27): 44306 f(f(c_0,f(x,f(y,y))),f(f(z,f(z,f(y,x))),f(c_0,f(x,f(y,f(y,x)))))) = c_0 # label(false). [back_rewrite(29570),rewrite([43460(8)])]. given #1082 (F,wt=27): 44338 f(f(c_0,f(x,f(y,y))),f(f(y,x),f(z,f(z,f(c_0,f(x,f(y,f(y,x)))))))) = c_0 # label(false). [back_rewrite(29304),rewrite([43460(8)])]. given #1083 (T,wt=19): 29807 f(f(x,f(y,f(z,x))),f(c_0,f(u,f(u,f(z,x))))) = c_0. [para(11(a,1),28101(a,1,2,1)),rewrite([24613(3),24613(7),24613(9)])]. given #1084 (T,wt=19): 29810 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(u,f(x,z))))) = c_0. [para(15153(a,1),28101(a,1,2,1)),rewrite([24613(3),24613(7),24613(9)])]. given #1085 (T,wt=19): 29833 f(f(c_0,f(f(x,x),f(y,z))),f(f(x,u),f(x,w))) = c_0. [para(26505(a,1),28101(a,1,1,2,2)),rewrite([24613(8),10913(8)])]. Low Water (keep): wt=33.000, iters=6667 given #1086 (T,wt=19): 30573 f(f(c_0,c_0),f(x,f(y,f(z,f(f(u,w),f(v5,v6)))))) = c_0. [para(30451(a,1),30175(a,1,1,2)),rewrite([30451(17),24613(15),26177(17)])]. given #1087 (A,wt=43): 25656 f(f(x,f(y,y)),f(f(y,y),f(f(z,f(y,y)),f(f(y,u),f(f(w,f(y,y)),f(f(y,y),f(u,f(u,f(x,f(y,y)))))))))) = f(y,y). [back_rewrite(18779),rewrite([24613(6),24613(7),24613(10),24613(12),24613(13),24613(17)])]. given #1088 (F,wt=27): 44365 f(f(f(x,y),f(z,f(y,z))),f(f(y,f(x,x)),f(z,f(y,z)))) = f(z,f(y,z)) # label(false). [back_rewrite(29045),rewrite([43460(13),24613(9)])]. given #1089 (F,wt=27): 44457 f(f(f(x,y),f(z,f(x,z))),f(f(x,f(y,y)),f(z,f(x,z)))) = f(z,f(x,z)) # label(false). [back_rewrite(28935),rewrite([43465(13),24613(9)])]. given #1090 (F,wt=27): 44702 f(x,f(c_0,f(f(y,f(y,f(x,x))),f(x,f(z,f(z,f(x,f(x,f(y,y))))))))) = c_0 # label(false). [para(37904(a,1),43561(a,1,2,2,2,2,2,2,2))]. given #1091 (F,wt=27): 44778 f(f(x,f(x,f(y,y))),f(c_0,f(y,f(y,f(z,f(z,f(y,f(y,f(x,x))))))))) = c_0 # label(false). [para(37904(a,1),44594(a,1,2,2,2,2,2,2,2))]. given #1092 (T,wt=19): 30646 f(x,f(x,f(f(y,f(x,x)),f(x,z)))) = f(x,f(x,z)). [para(26451(a,1),27456(a,2,2)),rewrite([24613(6),24613(15),24613(20),24613(23),27705(24)])]. given #1093 (T,wt=15): 48807 f(x,f(f(y,f(x,x)),f(x,z))) = f(x,z). [para(30646(a,1),26420(a,1,2,2)),rewrite([15153(8),24613(5)])]. given #1094 (T,wt=19): 30684 f(f(c_0,c_0),f(x,f(y,f(z,f(u,f(c_0,f(w,v5))))))) = c_0. [para(30567(a,1),30175(a,1,1,2)),rewrite([30567(19),24613(17),26177(19)])]. given #1095 (T,wt=19): 30826 f(c_0,f(f(x,y),f(y,z))) = f(y,f(f(x,y),f(y,z))). [para(30737(a,1),18865(a,1,2,2,2)),rewrite([24613(6),9899(6),24613(6),543(6),24613(4)]),flip(a)]. given #1096 (A,wt=43): 25662 f(f(x,f(y,z)),f(f(y,z),f(f(u,f(y,z)),f(f(w,f(c_0,f(y,z))),f(y,f(f(y,z),f(w,f(w,f(x,f(y,z)))))))))) = f(y,z). [back_rewrite(18706),rewrite([24613(7),24613(9),24613(10),24613(13),24613(14),24613(17),24613(18)])]. given #1097 (F,wt=27): 45273 f(f(x,f(y,f(y,f(x,z)))),f(f(x,f(x,z)),f(f(y,y),f(c_0,f(x,z))))) = c_0 # label(false). [back_rewrite(40858),rewrite([45033(20),43451(18),7716(13),38053(13)])]. given #1098 (F,wt=27): 45439 f(f(f(x,y),f(z,f(z,f(x,f(y,y))))),f(x,f(f(y,y),f(x,f(y,y))))) = c_0 # label(false). [para(11(a,1),43796(a,1,2,1,2)),rewrite([24613(12)])]. given #1099 (F,wt=19): 48940 f(f(x,x),f(f(x,y),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [para(45439(a,1),28005(a,1,2,2,2)),rewrite([24613(10),10913(11)])]. given #1100 (F,wt=19): 48959 f(f(x,x),f(f(x,f(y,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(11(a,1),48940(a,1,2,2,2,2,2))]. given #1101 (T,wt=17): 48844 f(f(x,f(x,y)),f(c_0,f(f(z,x),f(x,y)))) = x. [para(30826(a,2),33381(a,1,1)),rewrite([9899(8,R),24613(8),10791(9),24613(8)])]. given #1102 (T,wt=19): 30830 f(f(f(x,y),f(y,z)),f(y,f(f(x,y),f(y,z)))) = c_0. [para(30737(a,1),24748(a,1,1,2)),rewrite([24613(4),10913(11),24613(8)])]. given #1103 (T,wt=19): 30846 f(c_0,f(x,f(f(y,x),f(x,z)))) = f(f(y,x),f(x,z)). [para(30737(a,1),27297(a,1,2,2)),rewrite([18622(9),24613(5)])]. given #1104 (T,wt=19): 32330 f(f(c_0,f(f(x,y),f(z,z))),f(f(x,y),f(z,u))) = c_0. [para(32225(a,1),24748(a,1,1,2)),rewrite([24613(7),24613(9)])]. given #1105 (A,wt=43): 25672 f(f(x,f(y,z)),f(f(y,z),f(f(u,f(y,z)),f(f(w,f(c_0,f(y,z))),f(z,f(f(y,z),f(w,f(w,f(x,f(y,z)))))))))) = f(y,z). [back_rewrite(18676),rewrite([24613(7),24613(9),24613(10),24613(13),24613(14),24613(17),24613(18)])]. given #1106 (F,wt=19): 49025 f(f(x,x),f(f(y,f(y,f(x,z))),f(x,f(z,z)))) = c_0 # label(false). [para(24613(a,1),48959(a,1,2))]. given #1107 (F,wt=21): 48943 f(x,f(f(y,f(x,x)),f(z,f(z,f(f(x,x),f(y,y)))))) = c_0 # label(false). [para(45439(a,1),28425(a,1,2,2,2)),rewrite([24613(3),24613(11),10913(12)])]. given #1108 (F,wt=21): 49023 f(x,f(f(y,f(y,f(z,f(x,x)))),f(f(x,x),f(z,z)))) = c_0 # label(false). [para(11(a,1),48959(a,1,1)),rewrite([24613(5),24613(8)])]. given #1109 (F,wt=21): 49150 f(x,f(f(y,f(x,x)),f(z,f(z,f(f(y,y),f(x,x)))))) = c_0 # label(false). [para(48943(a,1),24613(a,1)),rewrite([24613(6),24613(10)]),flip(a)]. given #1110 (T,wt=19): 32388 f(f(x,y),f(y,f(x,f(x,f(z,f(z,f(x,y))))))) = y. [back_rewrite(32235),rewrite([32317(10)])]. given #1111 (T,wt=19): 32389 f(f(x,y),f(x,f(y,f(y,f(z,f(z,f(x,y))))))) = x. [back_rewrite(32234),rewrite([32317(10)])]. given #1112 (T,wt=19): 32517 f(x,f(c_0,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(32448(a,1),11(a,1,1)),rewrite([9899(9,R),24613(6)])]. given #1113 (T,wt=19): 32520 f(x,f(x,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(32448(a,1),15203(a,1,1)),rewrite([32448(10),24613(5)])]. given #1114 (A,wt=33): 25679 f(f(c_0,f(x,y)),f(f(f(y,f(x,y)),f(z,f(x,y))),f(f(y,f(y,u)),f(c_0,f(x,y))))) = f(x,y). [back_rewrite(18597),rewrite([24613(4),24613(6),24613(10),24613(12),24613(16)])]. given #1115 (F,wt=21): 49180 f(x,f(f(y,f(y,f(z,f(x,x)))),f(f(z,z),f(x,x)))) = c_0 # label(false). [para(49023(a,1),24613(a,1)),rewrite([24613(8),24613(10)]),flip(a)]. given #1116 (F,wt=23): 48962 f(f(x,f(x,y)),f(f(x,y),f(z,f(z,f(x,f(y,y)))))) = f(x,y) # label(false). [para(48940(a,1),26407(a,1,2,2,2)),rewrite([24613(10),9849(10),24613(8),24613(9)])]. given #1117 (F,wt=27): 45523 f(f(x,f(y,f(y,f(z,x)))),f(f(x,f(z,x)),f(f(y,y),f(c_0,f(z,x))))) = c_0 # label(false). [para(11(a,1),43254(a,1,2,1,2)),rewrite([11(3),24613(2),24613(6),9899(9,R),24613(9),24613(11)])]. given #1118 (F,wt=27): 45525 f(f(f(x,f(x,y)),f(z,f(x,x))),f(f(x,y),f(f(z,z),f(x,f(z,z))))) = c_0 # label(false). [para(11(a,1),43254(a,1,2,2,2)),rewrite([24613(10),24613(12)])]. given #1119 (T,wt=19): 32526 f(f(x,f(c_0,f(y,z))),f(y,f(x,f(c_0,f(y,z))))) = y. [para(32448(a,1),26180(a,1,2,2)),rewrite([24613(9),32448(16)])]. given #1120 (T,wt=19): 32549 f(f(x,x),f(c_0,f(y,f(y,f(z,f(c_0,f(x,u))))))) = c_0. [para(32448(a,1),28117(a,1,1,2)),rewrite([24613(2),9899(2),24613(7)])]. given #1121 (T,wt=19): 32802 f(f(x,f(y,y)),f(f(x,f(y,y)),f(y,z))) = f(y,z). [para(32317(a,1),7716(a,1,2,2)),rewrite([32317(13)])]. given #1122 (T,wt=19): 32803 f(f(x,y),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [para(32317(a,1),15153(a,1,1)),rewrite([32317(9),24613(5)])]. given #1123 (A,wt=41): 25680 f(f(x,f(y,z)),f(f(y,f(f(y,z),f(x,f(y,z)))),f(f(c_0,f(y,z)),f(f(x,f(y,z)),f(u,f(x,f(y,z))))))) = f(y,z). [back_rewrite(18596),rewrite([24613(7),24613(9),24613(15),24613(17),24613(18)])]. given #1124 (F,wt=27): 45591 f(x,f(f(y,f(x,x)),f(f(x,z),f(f(x,z),f(f(y,y),f(x,f(y,y))))))) = c_0 # label(false). [para(11(a,1),43267(a,1,2,1,2)),rewrite([24613(2)])]. given #1125 (F,wt=27): 45592 f(f(x,y),f(f(y,f(y,f(z,f(z,f(x,y))))),f(f(z,z),f(c_0,f(x,y))))) = c_0 # label(false). [para(11(a,1),43267(a,1,2,2,1)),rewrite([9899(4,R),24613(4),24613(6),11(9),24613(8),24613(12)])]. given #1126 (F,wt=27): 45593 f(f(x,y),f(f(x,f(x,f(z,f(z,f(x,y))))),f(f(z,z),f(c_0,f(x,y))))) = c_0 # label(false). [para(15153(a,1),43267(a,1,2,2,1)),rewrite([9899(4,R),24613(4),24613(6),15153(10),24613(8),24613(12)])]. given #1127 (F,wt=25): 49545 f(x,f(f(f(y,x),f(f(y,x),f(z,f(x,z)))),f(f(x,x),f(z,z)))) = c_0 # label(false). [para(11(a,1),45593(a,1,2,1,2,2,2,2)),rewrite([11(3),24613(3),11(11),24613(9),9899(9),24613(9)])]. given #1128 (T,wt=19): 32804 f(f(x,y),f(f(z,f(x,x)),f(x,y))) = f(z,f(x,x)). [para(32317(a,1),15153(a,1,2,2)),rewrite([32317(6)])]. given #1129 (T,wt=19): 32805 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(x,y))))) = f(x,y). [para(12170(a,1),32317(a,1,2,2)),rewrite([9899(5,R),24613(4),24613(9),12170(15)])]. given #1130 (T,wt=19): 32807 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(x,y)))) = c_0. [para(32317(a,1),24747(a,1,1,2,2)),rewrite([32317(12),24613(9)])]. given #1131 (T,wt=19): 32879 f(f(x,f(c_0,f(y,f(z,z)))),f(c_0,f(z,u))) = f(z,u). [para(32317(a,1),32317(a,1,2,2)),rewrite([9899(5,R),24613(4),32317(15)])]. given #1132 (A,wt=41): 25681 f(f(x,f(y,z)),f(f(z,f(f(y,z),f(x,f(y,z)))),f(f(c_0,f(y,z)),f(f(x,f(y,z)),f(u,f(x,f(y,z))))))) = f(y,z). [back_rewrite(18595),rewrite([24613(7),24613(9),24613(15),24613(17),24613(18)])]. given #1133 (F,wt=27): 46332 f(f(f(x,f(x,y)),f(z,f(z,f(x,y)))),f(x,f(f(z,z),f(c_0,f(x,y))))) = c_0 # label(false). [para(11(a,1),45527(a,1,1,1)),rewrite([24613(1),24613(2),9899(3,R),24613(3),24613(5),24613(7),24613(8),24613(10),543(10),24613(8),24613(9),24613(10),24613(13)])]. given #1134 (F,wt=27): 46333 f(f(f(x,y),f(z,f(x,x))),f(f(x,f(x,y)),f(f(z,z),f(x,f(z,z))))) = c_0 # label(false). [para(11(a,1),45527(a,1,1,2,2)),rewrite([24613(3)])]. given #1135 (F,wt=27): 46334 f(f(f(x,f(y,x)),f(z,f(z,f(y,x)))),f(x,f(f(z,z),f(c_0,f(y,x))))) = c_0 # label(false). [para(11(a,1),45527(a,1,2,1,2)),rewrite([11(3),9899(3,R),24613(3),24613(5),24613(8),24613(10),24613(13)])]. given #1136 (F,wt=27): 46383 f(f(f(x,f(y,x)),f(z,f(x,x))),f(f(y,x),f(f(z,z),f(x,f(z,z))))) = c_0 # label(false). [para(11(a,1),45530(a,1,2,2,2)),rewrite([24613(10),24613(12)])]. given #1137 (T,wt=19): 32902 f(f(x,f(c_0,f(y,z))),f(z,f(x,f(c_0,f(y,z))))) = z. [para(32800(a,1),26180(a,1,2,2)),rewrite([24613(9),32800(16)])]. given #1138 (T,wt=19): 32923 f(x,f(c_0,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(32800(a,1),26249(a,1,2)),rewrite([24613(7)])]. given #1139 (T,wt=19): 33001 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(32518(a,1),24748(a,1,1,2,2)),rewrite([24613(8),32518(15),9849(11),24613(9)])]. given #1140 (T,wt=19): 33016 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [para(32518(a,1),28117(a,1,1,2)),rewrite([9849(3),24613(7)])]. given #1141 (A,wt=51): 25686 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(w,f(y,y)),f(f(y,y),f(u,f(u,f(v5,f(y,y)))))))))) = f(y,y). [back_rewrite(18551),rewrite([24613(5),24613(6),24613(9),24613(12),24613(13),24613(16),24613(18),24613(19)])]. given #1142 (F,wt=27): 46866 f(f(f(x,f(y,y)),f(y,f(y,z))),f(f(y,z),f(f(x,x),f(y,f(x,x))))) = c_0 # label(false). [para(11(a,1),45531(a,1,2,2,1)),rewrite([24613(3),24613(6),24613(11),24613(12)])]. given #1143 (F,wt=27): 46901 f(f(f(x,y),f(z,f(y,y))),f(f(y,f(x,y)),f(f(z,z),f(y,f(z,z))))) = c_0 # label(false). [para(11(a,1),46336(a,1,1,2,2)),rewrite([24613(3)])]. given #1144 (F,wt=27): 47073 f(f(f(x,y),f(y,z)),f(f(x,f(x,y)),f(y,f(y,f(f(x,y),f(y,z)))))) = c_0 # label(false). [para(46110(a,1),32575(a,1,2,2)),rewrite([7716(14),24613(14),30846(14),24613(12),46110(20)])]. given #1145 (F,wt=27): 47114 f(f(x,f(f(y,y),f(c_0,f(z,x)))),f(f(y,f(y,f(z,x))),f(x,f(z,x)))) = c_0 # label(false). [para(11(a,1),46868(a,1,1,2,2)),rewrite([24613(5),11(9),9899(10,R),24613(10),24613(13)])]. given #1146 (T,wt=19): 33023 f(f(x,y),f(f(x,y),f(z,f(y,y)))) = f(z,f(y,y)). [para(32519(a,1),15153(a,1,1)),rewrite([32519(9),24613(5)])]. given #1147 (T,wt=19): 33038 f(f(x,f(y,f(z,f(u,y)))),f(c_0,f(u,y))) = f(u,y). [para(25692(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),31299(7),25692(14)])]. given #1148 (T,wt=19): 33046 f(f(x,f(y,f(z,f(y,u)))),f(c_0,f(y,u))) = f(y,u). [para(24806(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7),24806(16)])]. given #1149 (T,wt=19): 33058 f(x,f(y,f(c_0,f(z,f(c_0,f(u,f(x,x))))))) = f(x,x). [para(32518(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),9849(11),24613(9),32518(15)])]. given #1150 (A,wt=33): 25690 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(18547),rewrite([24613(6),24613(9),24613(11),24613(12)])]. given #1151 (F,wt=27): 47115 f(f(f(x,f(y,y)),f(y,z)),f(f(y,f(y,z)),f(f(x,x),f(y,f(x,x))))) = c_0 # label(false). [para(11(a,1),46868(a,1,2,2,1)),rewrite([24613(3),24613(7),24613(11),24613(12)])]. given #1152 (F,wt=27): 47116 f(f(x,f(f(y,y),f(c_0,f(x,z)))),f(f(y,f(y,f(x,z))),f(x,f(x,z)))) = c_0 # label(false). [para(15153(a,1),46868(a,1,1,2,2)),rewrite([24613(5),15153(10),9899(10,R),24613(10),24613(13)])]. given #1153 (F,wt=27): 47189 f(f(x,f(y,f(y,f(z,x)))),f(z,f(c_0,f(x,f(f(y,y),f(c_0,f(z,x))))))) = x # label(false). [para(11(a,1),47159(a,1,1,2)),rewrite([24613(4),9899(7,R),24613(7),9899(11,R),24613(11),42764(13),11(17)])]. given #1154 (F,wt=19): 50097 f(f(x,x),f(c_0,f(y,f(y,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(47189(a,1),28005(a,1,2,2,2)),rewrite([24613(7)])]. given #1155 (T,wt=17): 50057 f(f(x,f(y,x)),f(x,f(f(y,x),f(x,z)))) = x. [para(33023(a,1),25690(a,1,2,2,2,2,2)),rewrite([9899(4,R),24613(4),9849(4),24613(2),24613(5),11(5),9899(5,R),24613(5),9849(5),24613(3),9899(6,R),24613(6),9849(6),9899(7,R),24613(7),9849(7),24613(5),26180(6),24613(5),9899(10,R),24613(10),9849(10)])]. given #1156 (T,wt=19): 33059 f(f(x,x),f(f(y,x),f(z,f(x,x)))) = f(z,f(x,x)). [back_rewrite(27119),rewrite([33023(10),607(7),24613(6),33023(12)])]. given #1157 (T,wt=19): 33290 f(f(x,f(y,f(z,u))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(12170(a,1),32527(a,1,2,2,2,2))]. given #1158 (T,wt=19): 33321 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(c_0,f(y,u))))))) = c_0. [para(32527(a,1),27942(a,1,1,2,2)),rewrite([24613(4),10913(5),24613(9)])]. given #1159 (A,wt=57): 25730 f(f(x,x),f(f(x,f(x,y)),f(f(x,y),f(f(z,f(x,x)),f(f(x,x),f(y,f(y,f(u,f(x,x))))))))) = f(f(x,y),f(f(z,f(x,x)),f(f(x,x),f(y,f(y,f(u,f(x,x))))))). [back_rewrite(18398),rewrite([24613(6),24613(7),24613(10),24613(12),24613(13),24613(19),24613(20),24613(23),24613(25),24613(26)])]. given #1160 (F,wt=19): 50101 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(x,x)))))))) = c_0 # label(false). [para(47189(a,1),28425(a,1,2,2,2)),rewrite([24613(3),24613(7)])]. given #1161 (F,wt=19): 50105 f(x,f(c_0,f(f(x,f(y,f(y,f(x,z)))),f(z,z)))) = c_0 # label(false). [para(47189(a,1),33289(a,1,1)),rewrite([24613(2)])]. given #1162 (F,wt=19): 50119 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(z,z)))) = c_0 # label(false). [para(47189(a,1),39911(a,1,2,2,2)),rewrite([24613(1),24613(7)])]. given #1163 (F,wt=19): 50123 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(x,z))) = c_0 # label(false). [para(47189(a,1),40435(a,1,2,2,2)),rewrite([24613(2),24613(7)])]. given #1164 (T,wt=19): 33347 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,u)))) = c_0. [para(24708(a,1),32527(a,1,2,2,2,2)),rewrite([10913(11)])]. given #1165 (T,wt=19): 33374 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(32317(a,1),32527(a,1,2,2,2,2))]. given #1166 (T,wt=19): 33385 f(f(x,f(y,f(z,u))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(12170(a,1),32544(a,1,2,2,2,2))]. given #1167 (T,wt=19): 33440 f(f(x,f(x,f(y,z))),f(x,f(u,f(c_0,f(y,z))))) = x. [para(24708(a,1),32544(a,1,2,2,2,2)),rewrite([10913(10),24613(9)])]. given #1168 (A,wt=47): 25753 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(w,f(x,x)),f(f(x,x),f(u,f(u,f(v5,f(x,x)))))))))) = f(x,x). [back_rewrite(18249),rewrite([24613(3),24613(4),24613(7),24613(10),24613(11),24613(14),24613(16),24613(17),24613(21)])]. given #1169 (F,wt=19): 50137 f(x,f(y,f(z,f(z,f(y,f(x,x)))))) = f(x,f(y,y)) # label(false). [para(47189(a,1),43506(a,1,2,2)),rewrite([24613(2),9899(2),24613(4)]),flip(a)]. given #1170 (F,wt=19): 50154 f(f(x,x),f(c_0,f(y,f(y,f(z,f(z,f(y,x))))))) = c_0 # label(false). [para(50097(a,1),24613(a,1)),rewrite([24613(3),24613(10)]),flip(a)]. given #1171 (F,wt=19): 50177 f(x,f(c_0,f(f(y,y),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(50097(a,1),43452(a,1)),rewrite([24613(4)]),flip(a)]. given #1172 (F,wt=19): 50331 f(f(x,f(y,f(y,f(z,x)))),f(c_0,f(x,f(z,z)))) = c_0 # label(false). [para(50119(a,1),32621(a,1,1,2)),rewrite([24613(3),9849(3),24613(3),24613(7),49003(18),24613(2)]),flip(a)]. given #1173 (T,wt=19): 33467 f(f(x,f(y,f(z,z))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(32317(a,1),32544(a,1,2,2,2,2))]. given #1174 (T,wt=19): 33504 f(f(x,f(x,f(y,y))),f(x,f(z,f(c_0,f(y,u))))) = x. [para(32448(a,1),32917(a,1,2,2,2,2)),rewrite([24613(7),9899(7),24613(9)])]. Low Water (keep): wt=31.000, iters=6673 given #1175 (T,wt=19): 33505 f(f(x,f(x,f(y,y))),f(x,f(z,f(c_0,f(u,y))))) = x. [para(32800(a,1),32917(a,1,2,2,2,2)),rewrite([24613(7),9899(7),24613(9)])]. given #1176 (T,wt=19): 33506 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = x. [para(32518(a,1),32917(a,1,2,2,2,2)),rewrite([9849(9),24613(9)])]. given #1177 (A,wt=55): 25800 f(f(x,y),f(f(x,y),f(f(z,f(c_0,f(x,y))),f(x,f(f(x,y),f(z,f(z,f(u,f(x,y))))))))) = f(f(z,f(c_0,f(x,y))),f(x,f(f(x,y),f(z,f(z,f(u,f(x,y))))))). [back_rewrite(17995),rewrite([24613(6),24613(8),24613(9),24613(12),24613(13),24613(20),24613(22),24613(23),24613(26),24613(27)])]. given #1178 (F,wt=19): 50334 f(x,f(c_0,f(f(x,y),f(f(z,f(z,x)),f(x,y))))) = c_0 # label(false). [para(36796(a,1),50119(a,1,1,2,2)),rewrite([32526(10),24613(8),24613(10),24613(14),24613(16),9899(18,R),24613(13),32922(14)])]. given #1179 (F,wt=19): 50373 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(z,x))) = c_0 # label(false). [para(50123(a,1),32621(a,1,1,2)),rewrite([9899(2),24613(2),24613(13),24613(15),42609(18),24613(8)]),flip(a)]. given #1180 (F,wt=19): 50894 f(f(c_0,f(x,f(y,x))),f(f(z,f(z,x)),f(y,x))) = c_0 # label(false). [para(32616(a,1),50331(a,1,1,2,2)),rewrite([24613(13),34645(14),9899(14,R),24613(13),32522(14),24613(9)])]. given #1181 (F,wt=21): 50135 f(f(x,x),f(y,f(z,f(z,f(x,y))))) = f(f(x,x),f(y,y)) # label(false). [para(47189(a,1),43450(a,1,2,2)),rewrite([24613(3),9899(3),24613(9)]),flip(a)]. given #1182 (T,wt=19): 33511 f(x,f(y,f(f(z,f(x,x)),f(u,f(x,x))))) = f(x,x). [para(11(a,1),33032(a,1,1)),rewrite([24613(2),24613(4)])]. given #1183 (T,wt=19): 33518 f(f(x,x),f(f(x,y),f(z,f(f(x,u),f(x,w))))) = c_0. [para(33032(a,1),24748(a,1,1,2,2)),rewrite([24613(5),24613(6),33032(13),24613(8),9899(8),24613(8)])]. given #1184 (T,wt=19): 33568 f(f(x,x),f(y,f(c_0,f(z,f(f(x,u),f(x,w)))))) = x. [para(33032(a,1),32519(a,1,2,2)),rewrite([9899(9,R),24613(6),24613(9),9899(9),24613(9),33032(15)])]. given #1185 (T,wt=19): 33573 f(f(x,y),f(y,f(f(x,z),f(f(x,y),f(x,z))))) = y. [back_rewrite(32233),rewrite([33512(8)])]. given #1186 (A,wt=55): 25805 f(f(x,y),f(f(x,y),f(f(z,f(c_0,f(x,y))),f(y,f(f(x,y),f(z,f(z,f(u,f(x,y))))))))) = f(f(z,f(c_0,f(x,y))),f(y,f(f(x,y),f(z,f(z,f(u,f(x,y))))))). [back_rewrite(17990),rewrite([24613(6),24613(8),24613(9),24613(12),24613(13),24613(20),24613(22),24613(23),24613(26),24613(27)])]. given #1187 (F,wt=21): 50809 f(x,f(f(y,f(x,y)),f(z,f(z,f(f(x,x),f(y,y)))))) = c_0 # label(false). [para(40645(a,1),50137(a,1,2,2,2,2)),rewrite([24613(1),24613(5),24613(10),24613(12),9899(14,R),24613(13),15610(14)])]. given #1188 (F,wt=21): 51174 f(f(x,f(y,f(y,f(x,z)))),f(z,z)) = f(f(x,x),f(z,z)) # label(false). [para(50135(a,1),24613(a,2)),rewrite([24613(1),24613(9)])]. given #1189 (F,wt=21): 51443 f(x,f(f(y,f(y,x)),f(z,f(z,f(f(y,y),f(x,x)))))) = c_0 # label(false). [para(50809(a,1),24613(a,1)),rewrite([24613(2),24613(6),24613(10)]),flip(a)]. given #1190 (F,wt=21): 51487 f(f(x,x),f(y,f(z,f(z,f(y,x))))) = f(f(y,y),f(x,x)) # label(false). [para(51174(a,1),10913(a,1,2,2)),rewrite([10913(7),24613(9)]),flip(a)]. given #1191 (T,wt=17): 51596 f(x,f(c_0,f(y,f(y,f(f(y,x),f(z,u)))))) = c_0. [back_rewrite(36261),rewrite([24613(1),24613(4),51492(10)])]. given #1192 (T,wt=17): 51763 f(x,f(c_0,f(y,f(y,f(f(x,y),f(z,u)))))) = c_0. [para(51596(a,1),7716(a,1,2,2)),rewrite([9899(2),9222(2),24613(3)]),flip(a)]. given #1193 (T,wt=17): 51790 f(x,f(c_0,f(y,f(x,f(f(x,y),f(z,u)))))) = c_0. [para(51596(a,1),43337(a,2)),rewrite([24613(6)])]. given #1194 (T,wt=17): 51805 f(x,f(c_0,f(y,f(x,f(f(y,x),f(z,u)))))) = c_0. [para(51790(a,1),24613(a,1)),rewrite([24613(3),24613(9)]),flip(a)]. given #1195 (A,wt=55): 25809 f(f(f(x,f(c_0,f(y,z))),f(y,f(f(y,z),f(x,f(x,f(u,f(y,z))))))),f(f(y,z),f(f(x,f(c_0,f(y,z))),f(y,f(f(y,z),f(x,f(x,f(u,f(y,z))))))))) = f(y,z). [back_rewrite(17984),rewrite([24613(4),24613(6),24613(7),24613(10),24613(11),24613(16),24613(18),24613(19),24613(22),24613(23),24613(26)])]. given #1196 (F,wt=19): 51652 f(x,f(f(y,y),f(x,f(z,f(z,f(x,y)))))) = f(x,x) # label(false). [para(51487(a,2),543(a,1,2)),rewrite([9899(3,R),24613(3),9849(3)])]. given #1197 (F,wt=23): 50772 f(x,f(c_0,f(f(x,f(y,y)),f(y,f(z,f(z,f(y,f(x,x)))))))) = c_0 # label(false). [para(50137(a,1),15610(a,1,2,2,2)),rewrite([24613(9)])]. given #1198 (F,wt=23): 50775 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(z,f(z,f(x,x))))) = c_0 # label(false). [para(50137(a,1),24622(a,1,2,2,2))]. given #1199 (F,wt=23): 51202 f(f(x,x),f(f(y,f(y,f(x,x))),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [para(37904(a,1),50135(a,1,2,2,2,2)),rewrite([9899(18,R),24613(16),24622(17)])]. given #1200 (T,wt=17): 51872 f(f(c_0,f(x,y)),f(y,f(f(z,z),f(x,x)))) = c_0. [para(51652(a,1),35116(a,1,2,2,2,2)),rewrite([24613(2),50135(6),24613(4),9849(8),24613(6),24613(8)])]. given #1201 (T,wt=19): 33742 f(f(x,x),f(f(x,y),f(z,f(f(u,x),f(x,w))))) = c_0. [para(33047(a,1),24748(a,1,1,2,2)),rewrite([24613(5),24613(6),33047(13),24613(8),9899(8),24613(8)])]. given #1202 (T,wt=19): 33787 f(f(x,x),f(y,f(c_0,f(z,f(f(u,x),f(x,w)))))) = x. [para(33047(a,1),32519(a,1,2,2)),rewrite([9899(9,R),24613(6),24613(9),9899(9),24613(9),33047(15)])]. given #1203 (T,wt=19): 33805 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(x,f(z,z)))))) = c_0. [para(33286(a,1),27942(a,1,1,2,2)),rewrite([24613(5),10913(6),24613(8)])]. given #1204 (A,wt=55): 25811 f(f(f(x,f(c_0,f(y,z))),f(z,f(f(y,z),f(x,f(x,f(u,f(y,z))))))),f(f(y,z),f(f(x,f(c_0,f(y,z))),f(z,f(f(y,z),f(x,f(x,f(u,f(y,z))))))))) = f(y,z). [back_rewrite(17979),rewrite([24613(4),24613(6),24613(7),24613(10),24613(11),24613(16),24613(18),24613(19),24613(22),24613(23),24613(26)])]. given #1205 (F,wt=23): 51257 f(f(x,x),f(f(x,f(x,y)),f(y,f(y,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(32388(a,1),50135(a,1,2,2,2)),rewrite([24613(2),24613(7),24613(8),24613(9),24613(12),24613(17),9899(22,R),24613(18),50097(19)])]. given #1206 (F,wt=23): 51267 f(f(x,x),f(f(y,f(y,f(x,f(z,z)))),f(z,f(z,f(x,x))))) = c_0 # label(false). [para(50137(a,1),50135(a,1,2,2,2)),rewrite([9899(20,R),24613(17),28005(18)])]. given #1207 (F,wt=23): 51435 f(f(x,f(y,f(x,y))),f(f(x,y),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [back_rewrite(48933),rewrite([51422(5),24613(4)])]. given #1208 (F,wt=23): 51439 f(x,f(f(y,f(y,f(z,f(x,x)))),f(f(z,z),f(x,f(z,z))))) = c_0 # label(false). [para(11(a,1),50809(a,1,2,2,2,2,2)),rewrite([24613(6),24613(9)])]. given #1209 (T,wt=19): 33812 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(u,f(y,z)))))) = c_0. [para(25692(a,1),33286(a,1,1,2)),rewrite([9899(14,R),24613(10),31299(10)])]. given #1210 (T,wt=19): 33829 f(f(x,f(y,z)),f(c_0,f(x,f(y,f(u,f(y,z)))))) = c_0. [para(24806(a,1),33286(a,1,1,2)),rewrite([9899(14,R),24613(10),10913(10)])]. given #1211 (T,wt=19): 33839 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(32448(a,1),33286(a,1,1,2)),rewrite([9899(11,R),24613(8)])]. given #1212 (T,wt=19): 33857 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(x,f(y,y)))))) = c_0. [para(33289(a,1),27942(a,1,1,2,2)),rewrite([24613(5),10913(6),24613(8)])]. given #1213 (A,wt=29): 25813 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(17971),rewrite([24613(2),24613(4),24613(6),24613(7),24613(8),24613(11),25669(11),24613(4),24613(8),24613(11)])]. given #1214 (F,wt=23): 51542 f(f(f(x,x),f(y,z)),f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0 # label(false). [para(47073(a,1),51174(a,1,1,2,2)),rewrite([24613(7),43256(8),9899(14,R),24613(10),9899(16,R),24613(15),9899(26,R),24613(22),45033(23),46110(21),9870(16)])]. given #1215 (F,wt=23): 51711 f(x,f(f(y,y),f(f(y,y),f(x,f(z,f(z,f(x,y))))))) = f(x,y) # label(false). [para(51487(a,2),38050(a,1,2,2)),rewrite([9899(3,R),24613(3),9849(3),9899(12,R),24613(12),9849(12),9899(12,R),24613(12),9849(12)])]. given #1216 (F,wt=23): 51712 f(x,f(f(y,f(x,y)),f(f(y,y),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(51487(a,2),38139(a,1,2,2))]. given #1217 (F,wt=23): 51897 f(x,f(c_0,f(f(y,f(z,f(z,f(y,f(x,x))))),f(x,f(y,y))))) = c_0 # label(false). [para(50772(a,1),32621(a,1,1,2)),rewrite([24613(7),24613(15),24613(28),32803(29),7716(19),24613(18),35408(18),24613(13),18622(13),24613(10)]),flip(a)]. given #1218 (T,wt=19): 33872 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(u,f(y,y)))))) = c_0. [para(32317(a,1),33289(a,1,1,2)),rewrite([9899(8,R),24613(7)])]. given #1219 (T,wt=19): 33873 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(u,f(z,z)))))) = c_0. [para(32519(a,1),33289(a,1,1,2)),rewrite([9899(8,R),24613(7)])]. given #1220 (T,wt=19): 33899 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(c_0,f(x,u))))))) = c_0. [para(33291(a,1),27942(a,1,1,2,2)),rewrite([24613(4),10913(5),24613(9)])]. given #1221 (T,wt=19): 34238 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(33375(a,1),27942(a,1,1,2,2)),rewrite([24613(6),10913(7),24613(6),24613(8)])]. given #1222 (A,wt=51): 25814 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(z,f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17969),rewrite([24613(5),24613(6),24613(9),24613(13),24613(15),24613(16),24613(19),24613(20)])]. given #1223 (F,wt=23): 52045 f(f(x,f(y,f(y,x))),f(f(y,x),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [para(24613(a,1),51435(a,1,1)),rewrite([24613(1),24613(3),24613(4)])]. given #1224 (F,wt=23): 52270 f(f(x,f(y,z)),f(c_0,f(y,f(y,f(f(y,z),f(y,f(x,x))))))) = c_0 # label(false). [para(11(a,1),51542(a,1,1,1)),rewrite([24613(5),24613(7)])]. given #1225 (F,wt=23): 52271 f(f(x,f(y,y)),f(c_0,f(f(x,z),f(c_0,f(x,f(y,f(x,z))))))) = c_0 # label(false). [para(11(a,1),51542(a,1,1,2)),rewrite([24613(2),24613(4),24613(5),24613(6),24613(8),24613(10),543(10),24613(8),30736(9)])]. given #1226 (F,wt=23): 52272 f(f(x,f(y,y)),f(c_0,f(f(z,x),f(c_0,f(x,f(y,f(z,x))))))) = c_0 # label(false). [para(11(a,1),51542(a,1,2,2,2,2,2)),rewrite([11(4),24613(2),24613(8),42439(9)])]. given #1227 (T,wt=17): 52458 f(f(x,x),f(f(y,x),f(z,f(c_0,f(x,u))))) = c_0. [para(33047(a,1),34238(a,1,2,2)),rewrite([9899(4,R),24613(4),24613(8),9899(8),24613(8)])]. given #1228 (T,wt=19): 34309 f(f(x,f(y,z)),f(x,f(x,f(z,f(u,f(y,z)))))) = x. [para(25692(a,1),33381(a,1,1,2)),rewrite([9899(13,R),24613(9),31299(9)])]. given #1229 (T,wt=19): 34324 f(f(x,f(y,z)),f(x,f(x,f(y,f(u,f(y,z)))))) = x. [para(24806(a,1),33381(a,1,1,2)),rewrite([9899(13,R),24613(9),10913(9)])]. given #1230 (T,wt=19): 34332 f(f(x,y),f(x,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = x. [para(32448(a,1),33381(a,1,1,2)),rewrite([9899(10,R),24613(7)])]. given #1231 (A,wt=51): 25815 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(z,f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(17968),rewrite([24613(5),24613(6),24613(9),24613(13),24613(15),24613(16),24613(19),24613(20)])]. given #1232 (F,wt=23): 52276 f(f(c_0,f(x,f(x,f(f(x,y),f(x,z))))),f(f(x,z),f(y,y))) = c_0 # label(false). [para(51542(a,1),24613(a,1)),rewrite([24613(3),24613(11)]),flip(a)]. given #1233 (F,wt=23): 52277 f(f(f(x,x),f(y,z)),f(c_0,f(z,f(z,f(f(x,z),f(y,z)))))) = c_0 # label(false). [para(24613(a,1),51542(a,1,1,2)),rewrite([24613(6)])]. given #1234 (F,wt=23): 52278 f(f(c_0,f(x,f(x,f(f(x,y),f(x,z))))),f(f(x,y),f(z,z))) = c_0 # label(false). [para(24613(a,1),51542(a,1,1)),rewrite([24613(5),24613(7),24613(11)])]. given #1235 (F,wt=23): 52279 f(f(x,f(y,y)),f(c_0,f(z,f(c_0,f(x,f(y,f(x,f(x,z)))))))) = c_0 # label(false). [para(27297(a,1),51542(a,1,1,2)),rewrite([24613(2),24613(4),24613(6),24613(8),24613(11),24613(13),27301(16),24613(11),30736(12),51492(12)])]. given #1236 (T,wt=17): 52784 f(f(c_0,f(x,y)),f(x,f(f(z,u),f(y,y)))) = c_0. [para(52276(a,1),33812(a,1,2,2,2,2)),rewrite([24613(8),9849(8),24613(8)])]. given #1237 (T,wt=19): 34347 f(f(x,f(y,z)),f(f(x,f(y,y)),f(y,z))) = f(y,z). [para(33384(a,1),26420(a,1,2,2,2)),rewrite([24613(7),7716(7),24613(6)])]. given #1238 (T,wt=15): 52845 f(f(x,y),f(y,f(x,f(c_0,f(z,y))))) = y. [para(11(a,1),34347(a,1,2,2)),rewrite([11(3),9899(4,R),24613(4),24613(6),11(10)])]. given #1239 (T,wt=19): 34371 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(u,f(y,y)))))) = x. [para(32317(a,1),33384(a,1,2,2)),rewrite([9899(5,R),24613(4),24613(9)])]. given #1240 (A,wt=55): 25816 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(w,f(c_0,f(y,z))),f(z,f(f(y,z),f(w,f(w,f(v5,f(y,z)))))))))) = f(y,z). [back_rewrite(17967),rewrite([24613(2),24613(6),24613(8),24613(9),24613(12),24613(16),24613(18),24613(19),24613(22),24613(23)])]. given #1241 (F,wt=23): 52281 f(f(f(x,x),f(y,z)),f(c_0,f(f(y,y),f(x,f(y,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),51542(a,1,2,2,2,2,2)),rewrite([24613(2),24613(4),51335(7),38947(5),24613(5),24613(7),24613(9),24613(12),24613(13),42439(14),51506(14)])]. given #1242 (F,wt=23): 52299 f(f(x,f(f(x,y),f(x,z))),f(c_0,f(x,f(f(x,z),f(y,y))))) = c_0 # label(false). [para(51542(a,1),43337(a,1)),rewrite([24613(2),24613(9),24613(10)]),flip(a)]. given #1243 (F,wt=23): 52300 f(x,f(c_0,f(f(x,f(f(x,y),f(x,z))),f(f(x,z),f(y,y))))) = c_0 # label(false). [para(51542(a,1),43337(a,2)),rewrite([24613(2),24613(8)])]. given #1244 (F,wt=23): 52306 f(f(f(x,x),f(y,z)),f(c_0,f(y,f(c_0,f(f(x,y),f(y,z)))))) = c_0 # label(false). [para(30826(a,2),51542(a,1,2,2,2))]. given #1245 (T,wt=19): 34733 f(f(x,f(x,y)),f(x,f(z,f(y,f(u,f(x,y)))))) = x. [para(25692(a,1),33471(a,1,1,2)),rewrite([9899(13,R),24613(9),31299(9)])]. given #1246 (T,wt=19): 34849 f(f(c_0,f(x,f(y,y))),f(x,f(z,f(c_0,f(y,u))))) = c_0. [para(32448(a,1),33478(a,1,2,2,2,2)),rewrite([24613(8),9899(8),24613(10)])]. given #1247 (T,wt=19): 34850 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(u,u)))) = c_0. [para(32800(a,1),33478(a,1,2,2,2,2)),rewrite([24613(8),9899(8)])]. given #1248 (T,wt=19): 34851 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = c_0. [para(32518(a,1),33478(a,1,2,2,2,2)),rewrite([9849(10),24613(10)])]. given #1249 (A,wt=51): 25817 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(w,f(c_0,f(y,z))),f(z,f(f(y,z),f(w,f(y,w)))))))) = f(y,z). [back_rewrite(17964),rewrite([24613(6),24613(8),24613(9),24613(12),24613(16),24613(20),24613(21)])]. given #1250 (F,wt=23): 52496 f(f(x,y),f(c_0,f(f(y,z),f(c_0,f(y,f(f(x,x),f(y,z))))))) = c_0 # label(false). [para(11(a,1),52270(a,1,1,2)),rewrite([24613(3),24613(4),24613(5),24613(7),543(7),24613(5),24613(7),30736(9)])]. given #1251 (F,wt=23): 52497 f(f(x,y),f(c_0,f(f(z,y),f(c_0,f(y,f(f(x,x),f(z,y))))))) = c_0 # label(false). [para(11(a,1),52270(a,1,2,2,2,2,1)),rewrite([11(3),24613(7),42439(9)])]. given #1252 (F,wt=23): 52498 f(f(x,f(y,z)),f(c_0,f(z,f(z,f(f(y,z),f(z,f(x,x))))))) = c_0 # label(false). [para(24613(a,1),52270(a,1,1,2)),rewrite([24613(4)])]. given #1253 (F,wt=23): 52499 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(f(x,x),f(y,f(y,z)))))))) = c_0 # label(false). [para(27297(a,1),52270(a,1,1,2)),rewrite([24613(3),24613(5),24613(7),24613(9),27301(12),24613(7),24613(10),30736(12),51492(12)])]. given #1254 (T,wt=19): 34873 f(f(x,f(y,f(z,f(u,f(x,z))))),f(c_0,f(x,z))) = c_0. [para(25692(a,1),33791(a,1,2,2)),rewrite([9899(11,R),24613(7),31299(7)])]. given #1255 (T,wt=19): 35078 f(x,f(c_0,f(f(y,f(x,z)),f(x,f(x,z))))) = f(x,z). [para(25965(a,1),32621(a,2)),rewrite([24613(8),24613(16),24613(23),32627(28)])]. given #1256 (T,wt=19): 35169 f(f(x,f(y,y)),f(f(z,y),f(x,f(y,y)))) = f(z,y). [para(35059(a,1),27301(a,1,2,2)),rewrite([33023(6)])]. given #1257 (T,wt=19): 35198 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(u,f(z,z)))))) = x. [para(32519(a,1),34388(a,1,1,2)),rewrite([9899(7,R),24613(6)])]. given #1258 (A,wt=47): 25821 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(f(x,w),f(f(x,w),f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(17955),rewrite([24613(1),24613(3),24613(4),24613(6),24613(8),24613(12),24613(14),24613(16),24613(18),24613(19),24613(21),24613(22),24613(24)])]. given #1259 (F,wt=23): 52501 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(f(x,x),f(y,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),52270(a,1,2,2,2,2,1)),rewrite([24613(1),24613(3),51335(6),38947(4),24613(4),24613(6),24613(8),24613(9),24613(12),42439(14),51506(14)])]. given #1260 (F,wt=23): 52512 f(f(x,f(y,z)),f(c_0,f(y,f(c_0,f(f(y,z),f(y,f(x,x))))))) = c_0 # label(false). [para(27135(a,2),52270(a,1,2,2,2))]. given #1261 (F,wt=23): 52514 f(f(c_0,f(x,f(y,f(x,z)))),f(x,f(f(x,z),f(x,f(y,y))))) = c_0 # label(false). [para(52270(a,1),43337(a,1)),rewrite([24613(10),24613(12)]),flip(a)]. given #1262 (F,wt=23): 52515 f(x,f(c_0,f(f(y,f(x,z)),f(x,f(f(x,z),f(x,f(y,y))))))) = c_0 # label(false). [para(52270(a,1),43337(a,2)),rewrite([24613(9)])]. given #1263 (T,wt=19): 35277 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,z)))) = c_0. [para(32448(a,1),35116(a,1,2,2,2,2)),rewrite([24613(5),24613(8),9899(8)])]. given #1264 (T,wt=19): 35278 f(f(x,f(y,f(c_0,f(z,f(u,u))))),f(c_0,f(u,x))) = c_0. [para(32518(a,1),35116(a,1,2,2,2,2)),rewrite([24613(6),9849(10),24613(8)])]. given #1265 (T,wt=19): 35395 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,f(z,u))))) = y. [para(33381(a,1),24819(a,1,1,2)),rewrite([33381(10),33381(10),24613(7),33381(15)])]. given #1266 (T,wt=17): 53463 f(x,f(c_0,f(y,f(f(y,x),f(z,u))))) = f(y,x). [para(15153(a,1),35395(a,1,2,2,1)),rewrite([51492(9)])]. given #1267 (A,wt=47): 25832 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(f(y,w),f(f(x,y),f(y,w))))))))))) = f(c_0,f(x,y)). [back_rewrite(17931),rewrite([24613(2),24613(3),24613(4),24613(7),24613(9),24613(15),24613(20)])]. given #1268 (F,wt=23): 52521 f(f(x,y),f(c_0,f(f(x,z),f(c_0,f(x,f(f(x,z),f(y,y))))))) = c_0 # label(false). [para(11(a,1),52271(a,1,1,2)),rewrite([24613(7)])]. given #1269 (F,wt=23): 52522 f(f(c_0,f(x,f(c_0,f(f(y,x),f(x,z))))),f(f(y,x),f(z,z))) = c_0 # label(false). [para(11(a,1),52271(a,1,2,2,1)),rewrite([11(9),24613(7),24613(12)])]. given #1270 (F,wt=23): 52523 f(f(c_0,f(x,f(c_0,f(f(x,y),f(x,z))))),f(f(x,y),f(z,z))) = c_0 # label(false). [para(15153(a,1),52271(a,1,2,2,1)),rewrite([15153(10),24613(7),24613(12)])]. given #1271 (F,wt=23): 52526 f(f(c_0,f(f(x,x),f(y,f(x,z)))),f(f(x,f(x,z)),f(y,y))) = c_0 # label(false). [para(24737(a,1),52271(a,1,2,2,1)),rewrite([24613(1),24613(6),24613(8),24613(10),24613(12),51335(15),38947(13),48309(12),10913(16),32319(13),24613(11)])]. given #1272 (T,wt=17): 53482 f(x,f(c_0,f(y,f(f(x,y),f(z,u))))) = f(x,y). [para(53463(a,1),7716(a,1,2,2)),rewrite([24613(1),7716(3),24613(3)]),flip(a)]. given #1273 (T,wt=19): 35408 f(f(x,f(y,y)),f(f(y,z),f(x,f(y,y)))) = f(y,z). [para(7716(a,1),32622(a,1,2,1)),rewrite([32319(11),26180(6),7716(10)])]. given #1274 (T,wt=19): 35580 f(x,f(f(y,x),f(f(x,x),f(z,f(x,x))))) = f(y,x). [para(607(a,1),32695(a,1,1,2,2)),rewrite([24613(5),32519(14),24613(10),15203(10),24613(7),32519(13)])]. given #1275 (T,wt=19): 35834 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(11(a,1),32528(a,1,2,1)),rewrite([9899(3,R),24613(3),24613(6)])]. given #1276 (A,wt=51): 25834 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(w,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(17923),rewrite([24613(5),24613(6),24613(9),24613(13),24613(17),24613(19),24613(20)])]. given #1277 (F,wt=23): 52537 f(f(x,y),f(c_0,f(f(x,f(z,z)),f(c_0,f(x,f(z,f(x,y))))))) = c_0 # label(false). [para(52271(a,1),43337(a,2)),rewrite([24613(10)])]. given #1278 (F,wt=23): 52538 f(f(x,f(y,y)),f(c_0,f(f(y,f(x,z)),f(c_0,f(x,f(x,z)))))) = c_0 # label(false). [para(43337(a,1),52271(a,1,2,2)),rewrite([24613(8)])]. given #1279 (F,wt=23): 52539 f(f(x,f(y,y)),f(c_0,f(x,f(c_0,f(f(x,z),f(y,f(x,z))))))) = c_0 # label(false). [para(43337(a,2),52271(a,1,2,2)),rewrite([24613(8)])]. given #1280 (F,wt=23): 52554 f(f(c_0,f(f(x,x),f(y,f(x,f(x,z))))),f(f(x,z),f(y,y))) = c_0 # label(false). [para(39281(a,1),52272(a,1,2,2,1)),rewrite([24613(3),24613(7),47983(11),24613(10),24613(14),47983(18),24613(11),24613(15),47983(19),51506(14),24613(11)])]. given #1281 (T,wt=19): 35835 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(y,y)))) = c_0. [para(11(a,1),32528(a,1,2,2,2,2)),rewrite([9899(3,R),24613(3),24613(5),24613(7),9899(7)])]. given #1282 (T,wt=19): 35836 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(15153(a,1),32528(a,1,2,1)),rewrite([9899(3,R),24613(3),24613(6)])]. given #1283 (T,wt=19): 35837 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(x,x)))) = c_0. [para(15153(a,1),32528(a,1,2,2,2,2)),rewrite([9899(3,R),24613(3),24613(5),24613(7),9899(7)])]. given #1284 (T,wt=19): 36057 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(x,y)))) = c_0. [para(32799(a,1),24366(a,1,2,1)),rewrite([9899(3,R),24613(3),24613(7)])]. given #1285 (A,wt=51): 25835 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(w,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(17922),rewrite([24613(5),24613(6),24613(9),24613(13),24613(17),24613(19),24613(20)])]. given #1286 (F,wt=23): 52556 f(f(x,y),f(c_0,f(f(y,f(z,z)),f(c_0,f(y,f(z,f(x,y))))))) = c_0 # label(false). [para(52272(a,1),43337(a,2)),rewrite([24613(10)])]. given #1287 (F,wt=23): 52748 f(f(c_0,f(x,f(c_0,f(f(x,y),f(x,z))))),f(f(x,z),f(y,y))) = c_0 # label(false). [para(27135(a,2),52276(a,1,1,2,2))]. given #1288 (F,wt=23): 52786 f(f(x,f(y,y)),f(c_0,f(z,f(c_0,f(x,f(y,f(x,f(z,x)))))))) = c_0 # label(false). [para(15203(a,1),52277(a,1,2,2,2,2,2)),rewrite([15203(5),24613(2),24613(11),30736(12),51493(12)])]. given #1289 (F,wt=23): 52789 f(f(c_0,f(x,f(x,f(f(y,x),f(x,z))))),f(f(y,x),f(z,z))) = c_0 # label(false). [para(24613(a,1),52277(a,1,1)),rewrite([24613(5),24613(7),24613(11)])]. given #1290 (T,wt=19): 36115 f(f(x,f(y,z)),f(f(y,z),f(x,f(z,z)))) = f(y,z). [para(32799(a,1),32544(a,1,2,2)),rewrite([24613(2)])]. given #1291 (T,wt=19): 36124 f(f(x,f(y,f(z,z))),f(x,f(x,f(c_0,f(u,z))))) = x. [para(32799(a,1),33384(a,1,2,2)),rewrite([9899(3,R),24613(3),24613(9)])]. given #1292 (T,wt=19): 36174 f(f(x,f(y,z)),f(f(y,z),f(x,f(y,y)))) = f(y,z). [para(32801(a,1),32544(a,1,2,2)),rewrite([24613(2)])]. given #1293 (T,wt=19): 36224 f(x,f(f(f(x,x),f(y,z)),f(f(x,x),f(u,w)))) = c_0. [para(26518(a,1),32924(a,1,1,2)),rewrite([9849(3),26518(7)])]. given #1294 (A,wt=55): 25836 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(w,f(c_0,f(y,z))),f(f(v5,f(y,z)),f(f(y,z),f(w,f(z,w)))))))) = f(y,z). [back_rewrite(17921),rewrite([24613(2),24613(6),24613(8),24613(9),24613(12),24613(16),24613(20),24613(22),24613(23)])]. given #1295 (F,wt=23): 52795 f(f(f(x,x),f(y,f(y,z))),f(c_0,f(f(y,y),f(x,f(y,z))))) = c_0 # label(false). [para(39281(a,1),52277(a,1,1,2)),rewrite([24613(8),24613(12),47983(16),24613(9),24613(13),47983(17),24613(10),24613(14),47983(18),24613(12),24613(16),47983(20),42511(13),43460(14),24613(9)])]. given #1296 (F,wt=23): 52810 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(f(x,f(x,z)),f(y,y))))))) = c_0 # label(false). [para(11(a,1),52279(a,1,1,2)),rewrite([24613(7)])]. given #1297 (F,wt=23): 52814 f(f(x,f(y,y)),f(c_0,f(f(y,f(x,f(x,z))),f(c_0,f(x,z))))) = c_0 # label(false). [para(26415(a,1),52279(a,1,2,2,2,2,2,2,2)),rewrite([24613(14),44889(14)])]. given #1298 (F,wt=23): 52824 f(f(f(x,y),f(z,z)),f(c_0,f(f(y,y),f(z,f(y,f(x,y)))))) = c_0 # label(false). [para(39245(a,1),52279(a,1,2,2,2,2,2,2,2)),rewrite([24613(20),24613(24),50414(24),39245(22),24613(9),9899(9),24613(9)])]. given #1299 (T,wt=17): 54246 f(f(c_0,f(x,y)),f(x,f(f(z,x),f(x,y)))) = c_0. [para(33047(a,1),52824(a,1,2,2,2)),rewrite([9899(6,R),24613(6),9849(6),24613(4),9899(8,R),24613(8),24613(9),10791(9),24613(8)])]. given #1300 (T,wt=19): 36492 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,x))))))) = c_0. [para(33057(a,1),20605(a,1,2,2)),rewrite([24613(11),9899(11),24613(11)])]. given #1301 (T,wt=19): 36512 f(f(x,y),f(x,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = x. [para(33057(a,1),27301(a,1,2,2)),rewrite([24613(10)])]. given #1302 (T,wt=19): 37355 f(f(x,y),f(x,f(z,f(x,f(u,f(u,f(x,y))))))) = x. [para(26407(a,1),37135(a,1,2,1)),rewrite([24613(6),26407(14)])]. given #1303 (A,wt=55): 25837 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(w,f(y,z)),f(f(y,z),f(u,f(u,f(v5,f(y,z)))))))))) = f(y,z). [back_rewrite(17913),rewrite([24613(5),24613(6),24613(9),24613(13),24613(15),24613(16),24613(19),24613(21),24613(22)])]. given #1304 (F,wt=23): 52828 f(f(x,f(y,f(y,z))),f(c_0,f(y,f(c_0,f(z,f(y,f(x,x))))))) = c_0 # label(false). [para(52279(a,1),43337(a,1)),rewrite([24613(11),45033(13)]),flip(a)]. Low Water (keep): wt=29.000, iters=6690 given #1305 (F,wt=23): 52829 f(x,f(c_0,f(f(y,f(z,z)),f(c_0,f(y,f(z,f(y,f(x,y)))))))) = c_0 # label(false). [para(52279(a,1),43337(a,2)),rewrite([24613(3),24613(10)])]. given #1306 (F,wt=23): 52830 f(f(x,f(y,y)),f(c_0,f(x,f(c_0,f(z,f(y,f(x,f(x,z)))))))) = c_0 # label(false). [para(43337(a,2),52279(a,1,2,2)),rewrite([24613(8)])]. given #1307 (F,wt=23): 52920 f(f(f(x,x),f(y,z)),f(c_0,f(f(z,z),f(x,f(z,f(y,z)))))) = c_0 # label(false). [para(24613(a,1),52281(a,1,1,2)),rewrite([24613(6)])]. given #1308 (T,wt=19): 37359 f(f(x,y),f(y,f(z,f(y,f(u,f(u,f(x,y))))))) = y. [para(26420(a,1),37135(a,1,2,1)),rewrite([24613(6),26420(14)])]. given #1309 (T,wt=19): 37367 f(f(x,y),f(y,f(z,f(y,f(u,f(c_0,f(x,y))))))) = y. [para(26396(a,1),37135(a,1,2,1)),rewrite([24613(7),26396(16)])]. given #1310 (T,wt=19): 37371 f(f(x,y),f(x,f(z,f(x,f(u,f(c_0,f(x,y))))))) = x. [para(26663(a,1),37135(a,1,2,1)),rewrite([24613(7),26663(16)])]. given #1311 (T,wt=19): 37375 f(f(x,f(x,y)),f(x,f(z,f(x,f(u,f(x,y)))))) = x. [para(27297(a,1),37135(a,1,2,1)),rewrite([24613(1),24613(3),24613(6),24613(9),24613(11),27301(14)])]. given #1312 (A,wt=55): 25838 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(w,f(y,z)),f(f(y,z),f(u,f(u,f(v5,f(y,z)))))))))) = f(y,z). [back_rewrite(17912),rewrite([24613(5),24613(6),24613(9),24613(13),24613(15),24613(16),24613(19),24613(21),24613(22)])]. given #1313 (F,wt=23): 52921 f(f(f(x,x),f(y,z)),f(c_0,f(f(x,z),f(c_0,f(z,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),52281(a,1,1,2)),rewrite([9899(9,R),24613(8),24737(16),24613(12),15203(12),24613(10)])]. given #1314 (F,wt=23): 52922 f(f(f(x,x),f(y,z)),f(c_0,f(f(x,y),f(c_0,f(y,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),52281(a,1,2,2,2,2,2)),rewrite([24613(2),24613(4),51335(7),38947(5),24613(5),24613(7),9899(9,R),24613(8),24613(9),24613(11),24613(12),15153(12),24613(10)])]. given #1315 (F,wt=23): 52935 f(f(x,f(y,f(y,z))),f(c_0,f(f(y,y),f(f(x,x),f(y,z))))) = c_0 # label(false). [para(52281(a,1),43337(a,1)),rewrite([24613(10)]),flip(a)]. given #1316 (F,wt=23): 52936 f(f(x,x),f(c_0,f(f(y,f(x,f(x,z))),f(f(x,z),f(y,y))))) = c_0 # label(false). [para(52281(a,1),43337(a,2)),rewrite([24613(8)])]. given #1317 (T,wt=19): 37378 f(f(x,y),f(x,f(z,f(x,f(u,f(x,f(x,y))))))) = x. [para(27311(a,1),37135(a,1,2,1)),rewrite([24613(6),27311(14)])]. given #1318 (T,wt=19): 37379 f(f(x,y),f(y,f(z,f(y,f(u,f(y,f(x,y))))))) = y. [para(27363(a,1),37135(a,1,2,1)),rewrite([24613(6),27363(14)])]. given #1319 (T,wt=19): 37448 f(f(x,y),f(x,f(z,f(x,f(x,f(c_0,f(y,u))))))) = x. [para(32544(a,1),37135(a,1,2,1)),rewrite([24613(7),32544(16)])]. given #1320 (T,wt=19): 37459 f(f(x,f(y,z)),f(x,f(u,f(x,f(x,f(z,z)))))) = x. [para(33381(a,1),37135(a,1,2,1)),rewrite([24613(6),33381(14)])]. given #1321 (A,wt=55): 25841 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(w,f(c_0,f(y,z))),f(f(v5,f(y,z)),f(f(y,z),f(w,f(y,w)))))))) = f(y,z). [back_rewrite(17907),rewrite([24613(6),24613(8),24613(9),24613(12),24613(16),24613(20),24613(22),24613(23)])]. given #1322 (F,wt=23): 52945 f(f(x,f(y,z)),f(c_0,f(z,f(c_0,f(f(y,z),f(z,f(x,x))))))) = c_0 # label(false). [para(11(a,1),52299(a,1,1,2,2)),rewrite([24613(3),24613(4),42439(5),11(10),45033(12)])]. given #1323 (F,wt=23): 52948 f(f(x,f(f(x,y),f(x,z))),f(c_0,f(x,f(f(x,y),f(z,z))))) = c_0 # label(false). [para(52299(a,1),24613(a,1)),rewrite([24613(10),24613(12)]),flip(a)]. given #1324 (F,wt=23): 52949 f(f(x,y),f(c_0,f(f(x,z),f(c_0,f(x,f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(52299(a,1),26421(a,1,1,2,2)),rewrite([24613(7),27357(7),10913(14),45033(12)])]. given #1325 (F,wt=23): 52950 f(f(x,f(y,f(y,z))),f(c_0,f(f(y,y),f(f(y,z),f(x,x))))) = c_0 # label(false). [para(24737(a,1),52299(a,1,1,2,2)),rewrite([24613(1),24613(3),24613(5),24613(6),24613(7),42439(8),24613(9),24613(11),24613(13),51335(16),38947(14),45033(16),51513(14)])]. given #1326 (T,wt=19): 37460 f(f(x,f(x,f(y,y))),f(x,f(z,f(x,f(y,u))))) = x. [para(33384(a,1),37135(a,1,2,1)),rewrite([24613(6),33384(14)])]. given #1327 (T,wt=19): 37462 f(f(x,y),f(y,f(z,f(y,f(y,f(c_0,f(x,u))))))) = y. [para(33386(a,1),37135(a,1,2,1)),rewrite([24613(7),33386(16)])]. given #1328 (T,wt=19): 37469 f(f(x,f(x,y)),f(x,f(z,f(x,f(u,f(y,y)))))) = x. [para(33471(a,1),37135(a,1,2,1)),rewrite([24613(6),33471(14)])]. given #1329 (T,wt=19): 37473 f(f(x,f(y,z)),f(x,f(u,f(x,f(x,f(y,y)))))) = x. [para(34388(a,1),37135(a,1,2,1)),rewrite([24613(6),24613(14),33384(14)])]. given #1330 (A,wt=51): 25842 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(w,f(x,z)),f(f(x,z),f(u,f(u,f(v5,f(x,z)))))))))) = f(x,z). [back_rewrite(17906),rewrite([24613(4),24613(8),24613(12),24613(14),24613(15),24613(18),24613(20),24613(21)])]. given #1331 (F,wt=23): 52965 f(x,f(c_0,f(f(x,f(f(x,y),f(x,z))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(52299(a,1),43337(a,2)),rewrite([24613(7),24613(9)])]. given #1332 (F,wt=23): 52994 f(x,f(c_0,f(f(c_0,f(f(x,y),f(x,z))),f(f(x,z),f(y,y))))) = c_0 # label(false). [para(27135(a,2),52300(a,1,2,2,1))]. given #1333 (F,wt=23): 53002 f(f(f(x,x),f(y,z)),f(c_0,f(z,f(c_0,f(f(x,z),f(y,z)))))) = c_0 # label(false). [para(24613(a,1),52306(a,1,1,2)),rewrite([24613(7)])]. given #1334 (F,wt=19): 54837 f(f(x,x),f(f(x,f(y,y)),f(z,f(z,f(y,x))))) = c_0 # label(false). [para(49180(a,1),53002(a,1,1)),rewrite([9899(6,R),24613(6),9849(6),24613(4),9899(9,R),24613(9),9849(9),24613(7),9899(11,R),24613(11),9849(11),9899(15,R),24613(15),9849(15),24613(13),24613(14),51513(17),10913(12)])]. given #1335 (T,wt=19): 37484 f(x,f(f(x,f(y,z)),f(u,f(z,z)))) = f(x,f(y,z)). [para(32799(a,1),37135(a,1,2,2))]. given #1336 (T,wt=19): 37485 f(x,f(f(x,f(y,z)),f(u,f(y,y)))) = f(x,f(y,z)). [para(32801(a,1),37135(a,1,2,2))]. given #1337 (T,wt=19): 37504 f(f(x,f(y,f(x,z))),f(x,f(y,f(y,f(x,z))))) = x. [para(37351(a,1),26407(a,1,2,2,2)),rewrite([24613(1),24613(4)])]. given #1338 (T,wt=19): 37564 f(x,f(f(x,y),f(z,f(f(y,u),f(y,w))))) = f(x,y). [para(33032(a,1),37351(a,1,2,2,2)),rewrite([24613(6),33032(13)])]. given #1339 (A,wt=39): 25865 f(f(c_0,f(f(x,y),f(x,f(z,x)))),f(x,f(f(u,f(c_0,f(z,x))),f(f(w,f(z,x)),f(f(z,x),f(u,f(x,u))))))) = x. [back_rewrite(17822),rewrite([24613(4),24613(8),24613(10),24613(11),24613(13),24613(18),24613(20)])]. given #1340 (F,wt=23): 53011 f(f(f(x,x),f(y,z)),f(c_0,f(f(y,z),f(c_0,f(y,f(x,y)))))) = c_0 # label(false). [para(43337(a,1),52306(a,1,2,2))]. given #1341 (F,wt=19): 55034 f(f(x,x),f(f(y,x),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [para(48943(a,1),53011(a,1,1)),rewrite([9899(5,R),24613(5),9849(5),9899(6,R),24613(6),9849(6),9899(12,R),24613(12),9849(12),9899(13,R),24613(13),9849(13),15203(13),24613(10),9899(10),24613(10),10913(12)])]. given #1342 (F,wt=23): 53185 f(f(x,y),f(c_0,f(f(c_0,f(y,f(y,z))),f(f(x,x),f(y,z))))) = c_0 # label(false). [para(43337(a,1),52496(a,1,2,2)),rewrite([24613(8),24613(10)])]. given #1343 (F,wt=23): 53186 f(f(x,y),f(c_0,f(y,f(c_0,f(f(y,z),f(f(x,x),f(y,z))))))) = c_0 # label(false). [para(43337(a,2),52496(a,1,2,2)),rewrite([24613(8)])]. given #1344 (T,wt=19): 37568 f(x,f(f(x,y),f(z,f(f(u,y),f(y,w))))) = f(x,y). [para(33047(a,1),37351(a,1,2,2,2)),rewrite([24613(6),33047(13)])]. given #1345 (T,wt=19): 37607 f(x,f(f(y,f(z,z)),f(x,f(z,u)))) = f(x,f(z,u)). [para(32317(a,1),37352(a,1,2,2,2)),rewrite([32317(12)])]. given #1346 (T,wt=19): 37726 f(f(x,x),f(y,f(f(x,z),f(u,f(c_0,f(x,w)))))) = x. [para(36796(a,1),33032(a,1,2,2,1)),rewrite([24613(7)])]. given #1347 (T,wt=19): 37731 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(36796(a,1),33291(a,1,2,2,2,2))]. given #1348 (A,wt=59): 25929 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(w,f(y,y)),f(f(y,y),f(u,f(u,f(v5,f(y,y)))))))))) = f(y,y). [back_rewrite(17368),rewrite([24613(5),24613(7),24613(9),24613(13),24613(16),24613(17),24613(20),24613(22),24613(23)])]. given #1349 (F,wt=23): 53193 f(f(x,y),f(c_0,f(f(z,x),f(c_0,f(x,f(f(z,x),f(y,y))))))) = c_0 # label(false). [para(52497(a,1),24613(a,1)),rewrite([24613(7),24613(12),24613(13)]),flip(a)]. given #1350 (F,wt=23): 53198 f(f(x,y),f(c_0,f(f(y,z),f(c_0,f(y,f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(52497(a,1),43337(a,2)),rewrite([24613(6),24613(9),24613(10)])]. given #1351 (F,wt=23): 53203 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(f(x,x),f(y,f(z,y)))))))) = c_0 # label(false). [para(15203(a,1),52498(a,1,2,2,2,2,1)),rewrite([15203(4),24613(10),30736(12),51493(12)])]. given #1352 (F,wt=23): 53229 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(f(x,f(z,x)),f(y,y))))))) = c_0 # label(false). [para(52499(a,1),24613(a,1)),rewrite([24613(5),24613(7),24613(12),24613(13)]),flip(a)]. given #1353 (T,wt=19): 37737 f(f(x,y),f(y,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = y. [para(36796(a,1),33386(a,1,2,2,2,2))]. given #1354 (T,wt=19): 38589 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(36796(a,1),35276(a,1,2,2)),rewrite([24613(6)])]. given #1355 (T,wt=19): 38635 f(x,f(f(x,y),f(f(x,f(x,y)),f(z,u)))) = f(x,y). [para(24762(a,1),35785(a,1,1,2)),rewrite([15153(4),24762(7)])]. given #1356 (T,wt=19): 38655 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(u,f(x,y)))))) = x. [para(36796(a,1),35785(a,1,2,2)),rewrite([24613(5)])]. given #1357 (A,wt=47): 25955 f(f(x,f(f(x,y),f(x,f(f(x,z),f(f(u,x),f(x,z)))))),f(x,f(f(w,f(c_0,f(u,x))),f(f(v5,f(u,x)),f(f(u,x),f(w,f(x,w))))))) = x. [back_rewrite(16990),rewrite([24613(4),24613(8),24613(10),24613(11),24613(13),24613(19),24613(21),24613(23)])]. given #1358 (F,wt=23): 53230 f(f(x,y),f(c_0,f(f(c_0,f(y,z)),f(f(x,x),f(y,f(y,z)))))) = c_0 # label(false). [para(26415(a,1),52499(a,1,2,2,2,2,2,2,2)),rewrite([24613(14),44889(14),24613(10)])]. given #1359 (F,wt=23): 53239 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(f(x,x),f(z,f(y,z)))))) = c_0 # label(false). [para(39245(a,1),52499(a,1,2,2,2,2,2,2,2)),rewrite([24613(20),24613(24),50414(24),39245(22),24613(9),9899(9),24613(9)])]. given #1360 (F,wt=23): 53243 f(x,f(c_0,f(f(y,z),f(c_0,f(y,f(f(y,f(x,y)),f(z,z))))))) = c_0 # label(false). [para(52499(a,1),43337(a,2)),rewrite([24613(4),24613(6),24613(9),24613(10)])]. given #1361 (F,wt=23): 53244 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(f(x,x),f(y,f(y,z)))))))) = c_0 # label(false). [para(43337(a,2),52499(a,1,2,2)),rewrite([24613(8)])]. given #1362 (T,wt=19): 38996 f(f(x,f(y,f(y,f(x,z)))),f(x,f(u,f(x,z)))) = x. [para(26407(a,1),38947(a,1,2,1)),rewrite([24613(6),26407(14)])]. given #1363 (T,wt=19): 39000 f(f(x,f(y,f(x,z))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(26396(a,1),38947(a,1,2,1)),rewrite([24613(2),24613(6),24613(7),24613(9),24613(10),24613(12),26663(16)])]. given #1364 (T,wt=19): 39004 f(f(x,f(y,f(x,z))),f(x,f(u,f(x,f(x,z))))) = x. [para(27297(a,1),38947(a,1,2,1)),rewrite([24613(1),24613(4),24613(6),24613(9),24613(11),27301(14)])]. given #1365 (T,wt=19): 39006 f(f(x,f(y,f(x,f(x,z)))),f(x,f(u,f(x,z)))) = x. [para(27311(a,1),38947(a,1,2,1)),rewrite([24613(6),27311(14)])]. given #1366 (A,wt=47): 25963 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(w,f(x,x)),f(f(x,x),f(u,f(u,f(v5,f(x,x))))))))))) = c_0. [back_rewrite(16906),rewrite([24613(4),24613(5),24613(8),24613(11),24613(12),24613(15),24613(17),24613(18),24613(23)])]. given #1367 (F,wt=23): 53245 f(x,f(c_0,f(f(y,z),f(c_0,f(z,f(f(y,y),f(z,f(x,z)))))))) = c_0 # label(false). [para(52499(a,1),43452(a,1)),rewrite([24613(6)]),flip(a)]. given #1368 (F,wt=23): 53333 f(f(x,y),f(c_0,f(f(c_0,f(z,y)),f(f(x,x),f(y,f(z,y)))))) = c_0 # label(false). [para(11(a,1),52501(a,1,2,2,2,2,2)),rewrite([11(3),9899(5,R),24613(5),24613(8)])]. given #1369 (F,wt=23): 53335 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(f(y,f(y,z)),f(x,x))))) = c_0 # label(false). [para(52501(a,1),24613(a,1)),rewrite([24613(7),24613(12)]),flip(a)]. given #1370 (F,wt=23): 53336 f(f(x,f(y,z)),f(c_0,f(f(z,f(x,x)),f(c_0,f(z,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),52501(a,1,1,2)),rewrite([9899(8,R),24613(7),24737(16),24613(12),15203(12),24613(9),24613(10)])]. given #1371 (T,wt=19): 39038 f(f(x,f(y,f(x,z))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(32544(a,1),38947(a,1,2,1)),rewrite([24613(7),24613(9),32544(16)])]. given #1372 (T,wt=19): 39039 f(f(x,f(y,f(x,z))),f(x,f(x,f(c_0,f(u,z))))) = x. [para(32917(a,1),38947(a,1,2,1)),rewrite([24613(7),24613(9),32917(16)])]. given #1373 (T,wt=19): 39045 f(f(x,f(y,f(z,z))),f(x,f(u,f(x,f(x,z))))) = x. [para(33471(a,1),38947(a,1,2,1)),rewrite([24613(6),33471(14)])]. given #1374 (T,wt=19): 39063 f(f(f(x,y),f(x,z)),f(f(x,y),f(y,u))) = f(x,y). [para(37135(a,1),38947(a,1,2,1)),rewrite([24613(7),37135(11)])]. given #1375 (A,wt=31): 25998 f(f(x,y),f(y,f(f(y,z),f(y,f(f(y,u),f(y,f(f(y,w),f(f(x,y),f(y,w))))))))) = y. [back_rewrite(16642),rewrite([24613(3),24613(7),24613(9),24613(12)])]. given #1376 (F,wt=23): 53337 f(f(x,f(y,z)),f(c_0,f(f(y,f(x,x)),f(c_0,f(y,f(y,z)))))) = c_0 # label(false). [para(24737(a,1),52501(a,1,2,2,2,2,2)),rewrite([24613(1),24613(3),51335(6),38947(4),24613(4),24613(6),9899(8,R),24613(7),24613(9),24613(11),24613(12),15153(12),24613(9),24613(10)])]. given #1377 (F,wt=23): 53351 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(f(x,f(x,z)),f(y,y))))) = c_0 # label(false). [para(52501(a,1),43337(a,2)),rewrite([24613(6),24613(9)])]. given #1378 (F,wt=23): 53365 f(x,f(c_0,f(f(y,f(x,z)),f(c_0,f(f(x,z),f(x,f(y,y))))))) = c_0 # label(false). [para(52512(a,1),43337(a,2)),rewrite([24613(10)])]. given #1379 (F,wt=23): 53366 f(f(x,f(y,z)),f(c_0,f(f(y,z),f(c_0,f(y,f(y,f(x,x))))))) = c_0 # label(false). [para(43337(a,2),52512(a,1,2,2)),rewrite([24613(8)])]. given #1380 (T,wt=19): 39092 f(f(f(x,y),f(x,z)),f(f(x,z),f(z,u))) = f(x,z). [para(38952(a,1),38947(a,1,2,1)),rewrite([38952(11)])]. given #1381 (T,wt=19): 39329 f(f(x,f(y,f(x,f(z,f(x,u))))),f(c_0,f(x,u))) = c_0. [para(27297(a,1),37136(a,1,1,2,2)),rewrite([24613(2),24613(4),7716(4),24613(4),24613(6),27301(9),24613(4),24613(7),24613(9)])]. given #1382 (T,wt=19): 39355 f(f(x,f(y,f(x,f(z,u)))),f(c_0,f(x,f(z,z)))) = c_0. [para(33384(a,1),37136(a,1,1,2,2)),rewrite([24613(5),7716(5),33384(10),24613(7),24613(9)])]. given #1383 (T,wt=19): 39360 f(f(x,f(y,f(x,f(z,f(u,u))))),f(c_0,f(x,u))) = c_0. [para(33471(a,1),37136(a,1,1,2,2)),rewrite([24613(4),7716(4),33471(9),24613(7),24613(9)])]. given #1384 (A,wt=47): 26036 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(w,f(x,z)),f(f(x,z),f(u,f(z,u)))))))) = f(x,z). [back_rewrite(16200),rewrite([24613(4),24613(8),24613(12),24613(16),24613(18),24613(19)])]. given #1385 (F,wt=23): 53372 f(f(x,f(x,f(y,f(x,z)))),f(x,f(f(x,z),f(x,f(y,y))))) = x # label(false). [para(52514(a,1),26407(a,1,2,2,2)),rewrite([24613(12),10913(12),24613(10)])]. given #1386 (F,wt=23): 53395 f(f(x,f(x,f(y,f(x,z)))),f(c_0,f(f(x,z),f(x,f(y,y))))) = x # label(false). [para(52514(a,1),51174(a,1,1,2,2)),rewrite([24613(7),10913(7),9899(13,R),24613(10),9899(21,R),24613(18),33032(19)])]. given #1387 (F,wt=19): 55881 f(f(x,y),f(x,f(z,f(x,f(x,f(z,f(x,y))))))) = x # label(false). [para(53395(a,1),43337(a,2)),rewrite([51131(9),10913(11)])]. given #1388 (F,wt=19): 55888 f(f(x,y),f(y,f(z,f(y,f(y,f(z,f(x,y))))))) = y # label(false). [para(24613(a,1),55881(a,1,1)),rewrite([24613(2)])]. given #1389 (T,wt=19): 39507 f(f(x,y),f(x,f(z,f(c_0,f(u,f(x,f(x,y))))))) = x. [para(15153(a,1),37556(a,1,2,1)),rewrite([24613(5),15153(13)])]. given #1390 (T,wt=19): 39508 f(f(x,y),f(y,f(z,f(c_0,f(u,f(y,f(x,y))))))) = y. [para(15203(a,1),37556(a,1,2,1)),rewrite([24613(5),15203(13)])]. given #1391 (T,wt=19): 39742 f(x,f(f(y,x),f(z,f(z,f(u,f(x,x)))))) = f(y,x). [back_rewrite(33676),rewrite([39736(16),24613(7)])]. given #1392 (T,wt=19): 39912 f(x,f(c_0,f(f(x,f(y,f(z,u))),f(c_0,f(z,u))))) = c_0. [para(12170(a,1),39533(a,1,2,2,2,2))]. given #1393 (A,wt=47): 26043 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(w,f(x,z)),f(f(x,z),f(u,f(x,u)))))))) = f(x,z). [back_rewrite(16182),rewrite([24613(2),24613(4),24613(7),24613(8),24613(10),24613(12),24613(15),24613(16),24613(17),24613(18),24613(19),24613(24)])]. given #1394 (F,wt=23): 53604 f(f(x,y),f(c_0,f(f(c_0,f(x,f(x,z))),f(f(x,z),f(y,y))))) = c_0 # label(false). [para(43337(a,1),52521(a,1,2,2)),rewrite([24613(8),24613(10)])]. given #1395 (F,wt=23): 53606 f(f(x,y),f(c_0,f(x,f(c_0,f(f(x,z),f(f(x,z),f(y,y))))))) = c_0 # label(false). [para(43337(a,2),52521(a,1,2,2)),rewrite([24613(8)])]. given #1396 (F,wt=23): 53632 f(f(c_0,f(f(x,y),f(c_0,f(x,f(x,z))))),f(f(x,z),f(y,y))) = c_0 # label(false). [para(43337(a,1),52522(a,1,1,2)),rewrite([24613(4),24613(9)])]. given #1397 (F,wt=23): 53633 f(f(f(x,y),f(z,z)),f(c_0,f(f(x,y),f(c_0,f(y,f(y,z)))))) = c_0 # label(false). [para(43337(a,2),52522(a,1,1,2)),rewrite([24613(5),24613(12)])]. given #1398 (T,wt=19): 39914 f(x,f(f(x,y),f(f(x,z),f(c_0,f(z,u))))) = f(x,y). [para(39533(a,1),26415(a,1,2,2,2)),rewrite([24613(10),10913(10)])]. given #1399 (T,wt=19): 39939 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(c_0,f(z,u))))))) = c_0. [para(39533(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(9)])]. given #1400 (T,wt=19): 39957 f(x,f(c_0,f(f(y,z),f(x,f(u,f(c_0,f(y,z))))))) = c_0. [para(24708(a,1),39533(a,1,2,2,2,2)),rewrite([10913(11),24613(8)])]. given #1401 (T,wt=19): 39975 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(c_0,f(z,u))))) = c_0. [para(32317(a,1),39533(a,1,2,2,2,2))]. given #1402 (A,wt=49): 26047 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,w)))),f(c_0,f(f(y,v5),f(y,f(y,v6))))))))) = y. [back_rewrite(16143),rewrite([24613(3),24613(4),24613(5),24613(7),24613(9),24613(11),24613(13),24613(18)])]. given #1403 (F,wt=23): 53680 f(f(f(x,y),f(z,z)),f(c_0,f(f(x,y),f(c_0,f(x,f(x,z)))))) = c_0 # label(false). [para(43337(a,2),52523(a,1,1,2)),rewrite([24613(5),24613(12)])]. given #1404 (F,wt=23): 53703 f(f(c_0,f(f(x,y),f(c_0,f(z,x)))),f(f(x,f(z,x)),f(y,y))) = c_0 # label(false). [para(11(a,1),52526(a,1,1,2,2,2)),rewrite([9899(4,R),24613(4),24613(5),24613(6),11(11),24613(9)])]. given #1405 (F,wt=23): 53704 f(f(c_0,f(f(x,y),f(c_0,f(x,z)))),f(f(x,f(x,z)),f(y,y))) = c_0 # label(false). [para(15153(a,1),52526(a,1,1,2,2,2)),rewrite([9899(4,R),24613(4),24613(5),24613(6),15153(12),24613(9)])]. given #1406 (F,wt=23): 53711 f(f(f(x,y),f(z,z)),f(c_0,f(f(x,z),f(c_0,f(x,f(x,y)))))) = c_0 # label(false). [para(27297(a,1),52526(a,1,1,2,2,2)),rewrite([24613(2),24613(4),9899(6,R),24613(5),24613(6),24613(7),24613(9),24613(11),24613(13),27301(16),24613(11),7716(11),24613(12)])]. Low Water (keep): wt=27.000, iters=6669 given #1407 (T,wt=19): 40003 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(u,f(z,z)))))) = c_0. [para(32799(a,1),39533(a,1,2,2,2,2))]. given #1408 (T,wt=19): 40004 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(u,f(y,y)))))) = c_0. [para(32801(a,1),39533(a,1,2,2,2,2))]. given #1409 (T,wt=19): 40016 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(36796(a,1),39533(a,1,2,2,2,2))]. given #1410 (T,wt=19): 40018 f(x,f(c_0,f(f(y,y),f(x,f(z,f(c_0,f(y,u))))))) = c_0. [para(37736(a,1),39533(a,1,2,2,2,2)),rewrite([24613(8),9899(8),24613(8)])]. given #1411 (A,wt=41): 26081 f(x,f(f(y,x),f(f(z,f(y,x)),f(f(u,f(c_0,f(y,x))),f(f(c_0,f(y,x)),f(z,f(z,f(w,f(c_0,f(y,x)))))))))) = f(y,x). [back_rewrite(15878),rewrite([24613(2),24613(6),24613(7),24613(12),24613(16),24613(17),24613(20),24613(21)])]. given #1412 (F,wt=23): 53871 f(x,f(c_0,f(f(c_0,f(f(x,y),f(x,z))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(11(a,1),52537(a,1,1)),rewrite([24613(2),24613(6),24613(7),24613(9),543(9),24613(7),24613(10)])]. given #1413 (F,wt=23): 53872 f(x,f(c_0,f(f(c_0,f(f(y,x),f(x,z))),f(f(y,x),f(z,z))))) = c_0 # label(false). [para(11(a,1),52537(a,1,2,2,2,2,2,2)),rewrite([11(3),24613(7),24613(10)])]. given #1414 (F,wt=23): 53883 f(f(x,y),f(c_0,f(f(z,f(x,y)),f(c_0,f(x,f(x,f(z,z))))))) = c_0 # label(false). [para(43337(a,1),52537(a,1,2,2)),rewrite([24613(8)])]. given #1415 (F,wt=23): 53884 f(f(x,y),f(c_0,f(x,f(c_0,f(f(x,f(z,z)),f(z,f(x,y))))))) = c_0 # label(false). [para(43337(a,2),52537(a,1,2,2)),rewrite([24613(8)])]. given #1416 (T,wt=19): 40043 f(x,f(f(x,y),f(f(x,f(z,u)),f(u,u)))) = f(x,y). [para(39910(a,1),26415(a,1,2,2,2)),rewrite([24613(9),10913(9)])]. given #1417 (T,wt=19): 40052 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,u)),f(u,u)))))) = c_0. [para(39910(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(8)])]. given #1418 (T,wt=19): 40065 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(u,f(y,z)))))) = c_0. [para(24806(a,1),39910(a,1,2,2,1,2)),rewrite([9899(14,R),24613(10),10913(10)])]. given #1419 (T,wt=19): 40101 f(x,f(f(x,y),f(f(z,z),f(x,f(z,u))))) = f(x,y). [para(39911(a,1),26415(a,1,2,2,2)),rewrite([24613(9),10913(9)])]. given #1420 (A,wt=41): 26082 f(x,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(w,f(c_0,f(x,y)))))))))) = f(x,y). [back_rewrite(15877),rewrite([24613(2),24613(6),24613(7),24613(12),24613(16),24613(17),24613(20),24613(21)])]. given #1421 (F,wt=23): 53888 f(f(f(x,y),f(z,z)),f(c_0,f(f(y,z),f(c_0,f(y,f(x,y)))))) = c_0 # label(false). [para(11(a,1),52538(a,1,2,2,1,2)),rewrite([24613(5),11(10),24613(8)])]. given #1422 (F,wt=23): 53906 f(f(c_0,f(x,f(c_0,f(y,f(y,z))))),f(f(y,f(y,x)),f(z,z))) = c_0 # label(false). [para(27297(a,1),52539(a,1,2,2,2,2,1)),rewrite([24613(1),24613(6),24613(9),24613(11),27301(14),24613(9),51492(12),24613(12)])]. given #1423 (F,wt=23): 53915 f(x,f(c_0,f(f(x,f(y,y)),f(c_0,f(f(x,z),f(y,f(x,z))))))) = c_0 # label(false). [para(52539(a,1),43337(a,2)),rewrite([24613(10)])]. given #1424 (F,wt=23): 54044 f(f(x,y),f(c_0,f(f(z,f(x,y)),f(c_0,f(y,f(y,f(z,z))))))) = c_0 # label(false). [para(43337(a,1),52556(a,1,2,2)),rewrite([24613(8)])]. given #1425 (T,wt=19): 40108 f(x,f(c_0,f(y,f(c_0,f(f(z,z),f(x,f(z,u))))))) = c_0. [para(39911(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(8)])]. given #1426 (T,wt=19): 40130 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(c_0,f(u,z))))) = c_0. [para(32799(a,1),39911(a,1,2,2,2,2)),rewrite([9899(4,R),24613(4),24613(8)])]. given #1427 (T,wt=19): 40403 f(x,f(f(x,y),f(z,f(x,f(u,f(z,z)))))) = f(x,y). [para(40042(a,1),26415(a,1,2,2,2)),rewrite([24613(9),10913(9)])]. given #1428 (T,wt=19): 40410 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,z)))))))) = c_0. [para(40042(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(8)])]. given #1429 (A,wt=59): 26097 f(f(x,f(y,y)),f(f(y,y),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(w,f(y,y)),f(f(y,y),f(u,f(u,f(v5,f(y,y)))))))))))) = f(y,y). [back_rewrite(15698),rewrite([24613(7),24613(8),24613(11),24613(14),24613(15),24613(18),24613(20),24613(21)])]. given #1430 (F,wt=23): 54045 f(f(x,y),f(c_0,f(y,f(c_0,f(f(y,f(z,z)),f(z,f(x,y))))))) = c_0 # label(false). [para(43337(a,2),52556(a,1,2,2)),rewrite([24613(8)])]. given #1431 (F,wt=23): 54193 f(f(f(x,x),f(y,f(z,y))),f(c_0,f(f(x,y),f(c_0,f(z,y))))) = c_0 # label(false). [para(11(a,1),52795(a,1,1,2,2)),rewrite([24613(3),9899(8,R),24613(8),11(11),24613(10)])]. given #1432 (F,wt=23): 54194 f(f(f(x,x),f(y,f(y,z))),f(c_0,f(f(x,y),f(c_0,f(y,z))))) = c_0 # label(false). [para(15153(a,1),52795(a,1,1,2,2)),rewrite([24613(3),9899(8,R),24613(8),15153(12),24613(10)])]. given #1433 (F,wt=23): 54216 f(f(x,y),f(c_0,f(f(c_0,f(x,z)),f(f(x,f(x,z)),f(y,y))))) = c_0 # label(false). [para(38056(a,1),52810(a,1,2,2,2,2,2,1,2)),rewrite([24613(18),44915(18),24613(10)])]. given #1434 (T,wt=19): 40422 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(33057(a,1),40042(a,1,2,2,2,2)),rewrite([24613(9)])]. given #1435 (T,wt=19): 40450 f(x,f(c_0,f(f(y,y),f(x,f(z,f(c_0,f(u,y))))))) = c_0. [para(32800(a,1),40100(a,1,2,2,2,2)),rewrite([24613(8),9899(8),24613(8)])]. given #1436 (T,wt=19): 40451 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(u,f(y,y)))))))) = c_0. [para(32518(a,1),40100(a,1,2,2,2,2)),rewrite([9849(10),24613(8)])]. given #1437 (T,wt=19): 40466 f(x,f(x,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(37558(a,1),15203(a,1,2)),rewrite([24613(5),24613(10),32902(10),24613(5)])]. given #1438 (A,wt=45): 26099 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(w,f(y,y)))))))))) = f(y,y). [back_rewrite(15696),rewrite([24613(6),24613(10),24613(11),24613(14),24613(16),24613(17)])]. given #1439 (F,wt=23): 54220 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(f(z,f(y,z)),f(x,x))))) = c_0 # label(false). [para(39245(a,1),52810(a,1,2,2,2,2,2,1,2)),rewrite([24613(2),24613(19),24613(24),50414(24),39245(22),24613(9),9899(9),24613(9)])]. given #1440 (F,wt=23): 54225 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(f(x,f(x,z)),f(y,y))))))) = c_0 # label(false). [para(43337(a,2),52810(a,1,2,2)),rewrite([24613(8)])]. given #1441 (F,wt=23): 54240 f(x,f(c_0,f(y,f(c_0,f(f(y,f(z,z)),f(z,f(y,f(y,x)))))))) = c_0 # label(false). [para(52814(a,1),43337(a,1)),rewrite([45033(13)]),flip(a)]. given #1442 (F,wt=23): 54241 f(f(x,f(y,f(y,z))),f(c_0,f(f(y,f(x,x)),f(c_0,f(y,z))))) = c_0 # label(false). [para(52814(a,1),43337(a,2)),rewrite([24613(10)])]. given #1443 (T,wt=19): 40627 f(x,f(f(x,y),f(z,f(f(x,y),f(u,y))))) = f(x,y). [para(40598(a,1),37135(a,2)),rewrite([24613(2),24613(3),37602(4),24613(3),24613(4),24613(5),24613(8)])]. given #1444 (T,wt=19): 40632 f(f(f(x,y),f(y,z)),f(f(y,z),f(z,u))) = f(y,z). [para(40598(a,1),38947(a,1,2,1)),rewrite([40598(11)])]. given #1445 (T,wt=19): 40661 f(x,f(f(y,f(x,x)),f(f(y,y),f(x,f(y,y))))) = c_0. [para(38050(a,1),27027(a,1,2,2,2)),rewrite([9899(7,R),24613(7),9849(7),24613(5)])]. given #1446 (T,wt=19): 41024 f(x,f(f(y,x),f(f(x,f(y,x)),f(z,u)))) = f(y,x). [para(11(a,1),38614(a,1,2,2,1,2)),rewrite([11(3),24613(3)])]. given #1447 (A,wt=37): 26147 f(x,f(c_0,f(f(y,x),f(f(y,x),f(f(z,f(y,x)),f(f(y,x),f(f(u,f(y,x)),f(x,f(u,f(y,x)))))))))) = c_0. [back_rewrite(25577),rewrite([25693(28),24613(18)])]. given #1448 (F,wt=23): 54243 f(f(x,f(y,y)),f(c_0,f(f(y,f(z,x)),f(c_0,f(x,f(z,x)))))) = c_0 # label(false). [para(15203(a,1),52824(a,1,2,2,2,2,2)),rewrite([15203(4),9899(8,R),24613(7),24613(10),26180(10),24613(10)])]. given #1449 (F,wt=23): 54354 f(f(x,f(y,f(z,y))),f(c_0,f(f(y,y),f(f(x,x),f(z,y))))) = c_0 # label(false). [para(11(a,1),52828(a,1,1,2,2)),rewrite([24613(2),24613(10),35679(13)])]. given #1450 (F,wt=23): 54355 f(f(c_0,f(x,f(c_0,f(y,f(z,x))))),f(f(z,z),f(x,f(x,y)))) = c_0 # label(false). [para(11(a,1),52828(a,1,2,2,2,2,2,2)),rewrite([24613(7),24613(12)])]. given #1451 (F,wt=23): 54362 f(f(x,f(y,f(z,y))),f(c_0,f(y,f(c_0,f(z,f(y,f(x,x))))))) = c_0 # label(false). [para(52828(a,1),32621(a,1,1,2)),rewrite([24613(7),10913(7),24613(10),24613(13),50414(27),51719(31),9899(16,R),24613(11),20602(12),24613(2)]),flip(a)]. given #1452 (T,wt=19): 41187 f(f(x,x),f(f(y,f(y,f(x,x))),f(x,f(y,y)))) = c_0. [para(39245(a,1),32614(a,1,2,2)),rewrite([9899(3),9899(8),9849(8),24613(6),9899(10),9899(12),9849(12),24613(10),9222(10),24613(10),10913(10),9899(10),9899(15),9849(15),24613(13),10913(16),24613(14),18622(15),9899(3),9899(6),9899(11),9849(11),24613(9),10913(12)]),flip(a)]. given #1453 (T,wt=19): 41305 f(f(x,f(y,z)),f(x,f(z,z))) = f(c_0,f(x,f(y,z))). [para(11(a,1),39697(a,1,2,2,2)),rewrite([24613(4),9899(4)])]. given #1454 (T,wt=17): 56867 f(f(x,x),f(c_0,f(y,f(z,x)))) = f(y,f(x,x)). [para(41305(a,1),34347(a,1,1)),rewrite([24613(8),543(8),24613(8),51492(8)])]. given #1455 (T,wt=17): 56885 f(x,f(f(y,x),f(f(x,x),f(z,z)))) = f(y,x). [para(48233(a,1),56867(a,1,2,2)),rewrite([9899(15,R),24613(9),10913(9),24613(9),26248(9),9899(16,R),24613(10),10913(10)]),flip(a)]. given #1456 (A,wt=25): 26151 f(x,f(f(y,f(c_0,f(x,z))),f(z,f(f(y,f(y,x)),f(x,z))))) = f(x,z). [back_rewrite(25799),rewrite([24613(6),24613(8),26013(21),24613(11)])]. given #1457 (F,wt=23): 54372 f(x,f(c_0,f(f(y,f(x,f(x,z))),f(c_0,f(z,f(x,f(y,y))))))) = c_0 # label(false). [para(52828(a,1),43337(a,2)),rewrite([24613(10)])]. given #1458 (F,wt=23): 54373 f(f(x,f(y,f(y,z))),f(c_0,f(z,f(c_0,f(y,f(y,f(x,x))))))) = c_0 # label(false). [para(43337(a,2),52828(a,1,2,2)),rewrite([24613(8)])]. given #1459 (F,wt=23): 54381 f(x,f(c_0,f(f(y,f(z,z)),f(c_0,f(y,f(z,f(y,f(y,x)))))))) = c_0 # label(false). [para(52829(a,1),24613(a,1)),rewrite([24613(6),24613(13)]),flip(a)]. given #1460 (F,wt=23): 54399 f(x,f(c_0,f(f(y,f(z,f(x,z))),f(c_0,f(z,f(z,f(y,y))))))) = c_0 # label(false). [para(43337(a,1),52829(a,1,2,2)),rewrite([24613(8)])]. given #1461 (T,wt=19): 41308 f(f(x,f(y,y)),f(x,f(y,z))) = f(c_0,f(x,f(y,z))). [para(15153(a,1),39697(a,1,2,2,2)),rewrite([24613(4),9899(4),24613(5)])]. given #1462 (T,wt=19): 41368 f(f(x,y),f(c_0,f(z,f(z,f(x,f(c_0,f(y,u))))))) = c_0. [para(39697(a,1),28117(a,1,1,2)),rewrite([10913(5),24613(7)])]. given #1463 (T,wt=19): 41406 f(f(x,f(x,f(y,z))),f(x,f(y,f(c_0,f(z,u))))) = x. [para(39697(a,1),32917(a,1,2,2,2,2)),rewrite([10913(10),24613(9)])]. given #1464 (T,wt=19): 41421 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(39697(a,1),33478(a,1,2,2,2,2)),rewrite([10913(11),24613(10)])]. given #1465 (A,wt=29): 26152 f(x,f(f(y,f(c_0,f(x,z))),f(f(u,f(x,z)),f(f(y,f(y,x)),f(x,z))))) = f(x,z). [back_rewrite(25797),rewrite([24613(8),24613(10),26013(23),24613(13)])]. given #1466 (F,wt=23): 54400 f(x,f(c_0,f(y,f(c_0,f(f(y,f(z,z)),f(z,f(y,f(x,y)))))))) = c_0 # label(false). [para(43337(a,2),52829(a,1,2,2)),rewrite([24613(8)])]. given #1467 (F,wt=23): 54410 f(f(x,f(y,y)),f(c_0,f(x,f(c_0,f(z,f(y,f(x,f(z,x)))))))) = c_0 # label(false). [para(52830(a,1),32621(a,1,1,2)),rewrite([24613(2),24613(8),10913(8),24613(6),24613(17),24613(23),50414(29),51719(33),9899(19,R),24613(13),20602(14),24613(6)]),flip(a)]. given #1468 (F,wt=23): 54417 f(f(x,f(y,f(z,y))),f(c_0,f(z,f(c_0,f(y,f(y,f(x,x))))))) = c_0 # label(false). [para(52830(a,1),43337(a,1)),rewrite([24613(3),24613(11),45033(13)]),flip(a)]. given #1469 (F,wt=23): 54418 f(x,f(c_0,f(f(x,f(y,y)),f(c_0,f(z,f(y,f(x,f(x,z)))))))) = c_0 # label(false). [para(52830(a,1),43337(a,2)),rewrite([24613(10)])]. given #1470 (T,wt=19): 41423 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(y,z)))) = c_0. [para(39697(a,1),35116(a,1,2,2,2,2)),rewrite([24613(5),10913(11)])]. given #1471 (T,wt=19): 41483 f(x,f(c_0,f(f(y,z),f(x,f(y,f(c_0,f(z,u))))))) = c_0. [para(39697(a,1),40100(a,1,2,2,2,2)),rewrite([10913(11),24613(8)])]. given #1472 (T,wt=19): 41502 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(u,f(y,z)))))) = c_0. [para(11(a,1),40049(a,1,2,2,2,1)),rewrite([24613(5)])]. given #1473 (T,wt=19): 41982 f(f(x,x),f(c_0,f(y,f(y,f(z,f(c_0,f(u,x))))))) = c_0. [para(37797(a,1),27942(a,1,2,2)),rewrite([24613(10),9899(10),24613(10)])]. given #1474 (A,wt=21): 26166 f(f(c_0,f(x,f(y,z))),f(f(y,z),f(u,f(x,f(y,z))))) = c_0. [para(12170(a,1),24366(a,1,2,1)),rewrite([9899(5,R),24613(4),24613(8)])]. given #1475 (F,wt=23): 54534 f(f(x,y),f(c_0,f(x,f(c_0,f(f(x,z),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(52921(a,1),43337(a,1)),rewrite([24613(3),24613(8),24613(9),24613(10),24613(11),45033(13)]),flip(a)]. given #1476 (F,wt=23): 54535 f(f(f(x,x),f(y,z)),f(c_0,f(f(y,z),f(c_0,f(z,f(x,z)))))) = c_0 # label(false). [para(43337(a,1),52921(a,1,2,2)),rewrite([24613(8)])]. given #1477 (F,wt=19): 57108 f(f(x,x),f(f(y,f(y,f(z,x))),f(x,f(z,z)))) = c_0 # label(false). [para(49023(a,1),54535(a,1,1)),rewrite([9899(5,R),24613(5),9849(5),9899(8,R),24613(8),9849(8),9899(12,R),24613(12),9849(12),9899(14,R),24613(14),9849(14),15153(15),24613(10),9899(10),24613(10),10913(12)])]. given #1478 (F,wt=23): 54543 f(f(x,f(y,f(z,y))),f(c_0,f(f(y,f(x,x)),f(c_0,f(z,y))))) = c_0 # label(false). [para(11(a,1),52935(a,1,1,2,2)),rewrite([24613(2),9899(7,R),24613(7),11(11),24613(9),24613(10)])]. given #1479 (T,wt=19): 42064 f(f(x,y),f(c_0,f(z,f(z,f(y,f(c_0,f(x,u))))))) = c_0. [para(41312(a,1),28117(a,1,1,2)),rewrite([10913(5),24613(7)])]. given #1480 (T,wt=19): 42298 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(33057(a,1),41783(a,1,2,2)),rewrite([24613(11)])]. given #1481 (T,wt=19): 42383 f(f(x,y),f(y,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = y. [para(11(a,1),27001(a,1,2,1)),rewrite([9899(5,R),24613(5),11(13)])]. given #1482 (T,wt=19): 42384 f(f(x,y),f(x,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = x. [para(15153(a,1),27001(a,1,2,1)),rewrite([9899(5,R),24613(5),15153(14)])]. given #1483 (A,wt=23): 26398 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(x,y))))) = f(z,f(c_0,f(x,y))). [back_rewrite(25478),rewrite([26377(18),24613(12),10913(12)])]. given #1484 (F,wt=23): 54554 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,z)),f(z,f(x,f(y,x)))))))) = c_0 # label(false). [para(11(a,1),52936(a,1,2,2,1,2,2)),rewrite([9899(3,R),24613(3),24613(6),11(10),24613(10),45033(12)])]. given #1485 (F,wt=23): 54557 f(f(x,x),f(c_0,f(f(y,f(x,f(x,z))),f(f(y,y),f(x,z))))) = c_0 # label(false). [para(52936(a,1),24613(a,1)),rewrite([24613(8),24613(12)]),flip(a)]. given #1486 (F,wt=23): 54688 f(f(x,f(y,z)),f(c_0,f(f(y,z),f(c_0,f(z,f(z,f(x,x))))))) = c_0 # label(false). [para(43337(a,2),52945(a,1,2,2)),rewrite([24613(8)])]. given #1487 (F,wt=23): 54710 f(x,f(c_0,f(f(y,f(z,x)),f(c_0,f(f(z,x),f(x,f(y,y))))))) = c_0 # label(false). [para(11(a,1),52949(a,1,2,2,2,2,2,1)),rewrite([11(3),24613(3)])]. given #1488 (T,wt=17): 57180 f(f(c_0,f(x,y)),f(y,f(f(z,u),f(x,x)))) = c_0. [para(52784(a,1),54710(a,1,2,2,1)),rewrite([24613(15),24613(18),9899(20,R),24613(18),10913(18),24613(15),10913(18),49466(16),24613(8)])]. given #1489 (T,wt=19): 42518 f(f(x,x),f(f(c_0,f(x,y)),f(f(z,u),f(z,w)))) = x. [para(27135(a,1),32456(a,1,2,2,2)),rewrite([27357(10)])]. given #1490 (T,wt=19): 42564 f(f(x,y),f(x,f(f(y,z),f(y,u)))) = f(c_0,f(x,y)). [para(27135(a,2),39697(a,1,2,2,2)),rewrite([10913(8)])]. given #1491 (T,wt=19): 42571 f(f(x,y),f(y,f(f(x,z),f(x,u)))) = f(c_0,f(x,y)). [para(27135(a,2),41312(a,1,2,2,2)),rewrite([10913(8)])]. given #1492 (A,wt=23): 26418 f(f(x,y),f(f(z,f(x,y)),f(u,f(u,f(x,y))))) = f(z,f(x,y)). [para(12170(a,1),26407(a,1,1)),rewrite([12170(9)])]. given #1493 (F,wt=23): 54721 f(f(x,y),f(c_0,f(f(c_0,f(x,f(x,z))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(43337(a,1),52949(a,1,2,2)),rewrite([24613(8),24613(10)])]. given #1494 (F,wt=23): 55016 f(f(x,f(y,y)),f(c_0,f(x,f(c_0,f(f(z,x),f(y,f(z,x))))))) = c_0 # label(false). [para(11(a,1),53011(a,1,2,2,1)),rewrite([11(4),24613(2)])]. given #1495 (F,wt=23): 55032 f(f(c_0,f(x,f(c_0,f(y,f(z,y))))),f(f(z,z),f(y,f(y,x)))) = c_0 # label(false). [para(39281(a,1),53011(a,1,1,2)),rewrite([24613(8),24613(12),47983(16),51492(12),24613(12)])]. given #1496 (F,wt=23): 55038 f(f(x,f(y,x)),f(f(y,x),f(z,f(z,f(x,f(y,y)))))) = f(y,x) # label(false). [para(55034(a,1),26407(a,1,2,2,2)),rewrite([24613(10),9849(10),24613(8),24613(9)])]. given #1497 (T,wt=19): 43453 f(f(x,f(x,y)),f(c_0,f(z,x))) = f(z,f(c_0,f(x,y))). [para(7716(a,1),43337(a,1,2,2)),flip(a)]. given #1498 (T,wt=19): 43454 f(x,f(c_0,f(y,f(x,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(7716(a,1),43337(a,2,2,2)),rewrite([24613(4)])]. given #1499 (T,wt=17): 57496 f(f(x,x),f(y,f(c_0,f(z,f(y,f(x,y)))))) = x. [para(43454(a,2),32800(a,1,2)),rewrite([24613(3)])]. given #1500 (T,wt=19): 43455 f(f(x,f(x,f(c_0,f(y,z)))),f(y,f(c_0,f(x,z)))) = x. [para(43337(a,1),15153(a,1,1)),rewrite([24613(6),24613(10)])]. given #1501 (A,wt=23): 26453 f(f(x,y),f(f(z,f(x,y)),f(u,f(c_0,f(x,y))))) = f(z,f(x,y)). [para(20602(a,1),26415(a,1,2,2,2)),rewrite([24613(3),24613(11),10913(11),24613(11)])]. given #1502 (F,wt=23): 55094 f(x,f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(f(x,z),f(y,y))))))) = c_0 # label(false). [para(53186(a,1),43337(a,2)),rewrite([24613(6),24613(9),24613(10)])]. given #1503 (F,wt=23): 55259 f(f(x,y),f(c_0,f(f(c_0,f(y,f(y,z))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(43337(a,1),53198(a,1,2,2)),rewrite([24613(8),24613(10)])]. given #1504 (F,wt=23): 55260 f(f(x,y),f(c_0,f(y,f(c_0,f(f(y,z),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(43337(a,2),53198(a,1,2,2)),rewrite([24613(8)])]. given #1505 (F,wt=23): 55341 f(x,f(c_0,f(y,f(c_0,f(f(y,z),f(f(y,f(y,x)),f(z,z))))))) = c_0 # label(false). [para(53230(a,1),43337(a,2)),rewrite([24613(8),24613(9),24613(10),45033(12)])]. given #1506 (T,wt=19): 43456 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(c_0,f(z,y)))) = x. [para(43337(a,1),15153(a,1,2,2)),rewrite([24613(10)])]. given #1507 (T,wt=19): 43457 f(f(x,f(x,f(c_0,f(y,z)))),f(y,f(c_0,f(z,x)))) = x. [para(43337(a,2),15153(a,1,1)),rewrite([24613(10)])]. given #1508 (T,wt=15): 57685 f(f(x,y),f(y,f(y,f(c_0,f(z,x))))) = y. [para(43457(a,1),36730(a,1,2,2,2,2,2)),rewrite([9899(16,R),24613(14),10913(14),24613(11),24613(23),7716(23),24613(22),49305(22),50414(23),45418(23),24613(13),24613(16),40598(16),24613(10),43457(10),9899(12,R),24613(10),10913(10),24613(7)]),flip(a)]. given #1509 (T,wt=17): 57686 f(f(x,f(y,x)),f(x,f(f(y,y),f(z,u)))) = x. [para(26518(a,1),57685(a,1,2,2,2,2)),rewrite([24613(4),9849(7),24613(5),24613(7)])]. given #1510 (A,wt=27): 26454 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(20605(a,1),26415(a,1,2,2,2)),rewrite([24613(7),24613(13),10913(13),24613(10),24613(15)])]. given #1511 (F,wt=23): 55343 f(f(x,y),f(c_0,f(f(c_0,f(y,f(z,y))),f(f(x,x),f(z,y))))) = c_0 # label(false). [para(15203(a,1),53239(a,1,2,2,2,2,2)),rewrite([15203(4),9899(7,R),24613(6),24613(10),26180(10)])]. given #1512 (F,wt=23): 55356 f(x,f(c_0,f(f(y,z),f(c_0,f(y,f(f(y,f(y,x)),f(z,z))))))) = c_0 # label(false). [para(53243(a,1),24613(a,1)),rewrite([24613(5),24613(13)]),flip(a)]. given #1513 (F,wt=23): 55372 f(x,f(c_0,f(f(c_0,f(y,f(y,z))),f(f(y,f(x,y)),f(z,z))))) = c_0 # label(false). [para(43337(a,1),53243(a,1,2,2)),rewrite([24613(8),24613(10)])]. given #1514 (F,wt=23): 55374 f(x,f(c_0,f(y,f(c_0,f(f(y,z),f(f(y,f(x,y)),f(z,z))))))) = c_0 # label(false). [para(43337(a,2),53243(a,1,2,2)),rewrite([24613(8)])]. given #1515 (T,wt=17): 57691 f(f(x,f(y,x)),f(x,f(f(z,z),f(y,y)))) = x. [para(51652(a,1),57685(a,1,2,2,2,2)),rewrite([24613(2),50135(6),24613(4),9849(7),24613(5),24613(7)])]. given #1516 (T,wt=17): 57692 f(f(x,f(y,x)),f(x,f(f(y,x),f(z,u)))) = x. [para(53463(a,1),57685(a,1,2,2)),rewrite([24613(4),24613(7)])]. given #1517 (T,wt=19): 43458 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(c_0,f(y,z)))) = x. [para(43337(a,2),15153(a,1,2,2)),rewrite([24613(6),24613(10)])]. given #1518 (T,wt=19): 43460 f(f(x,y),f(c_0,f(z,f(x,f(x,y))))) = f(z,f(x,x)). [para(15153(a,1),43337(a,2,2,2)),rewrite([24613(5),24613(9),9899(9)])]. given #1519 (A,wt=31): 26469 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(24747(a,1),26415(a,1,2,2,2)),rewrite([24613(7),24613(12),10913(12),24613(9),24613(14)])]. given #1520 (F,wt=23): 55386 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(f(x,x),f(y,f(z,y)))))))) = c_0 # label(false). [para(53244(a,1),32621(a,1,1,2)),rewrite([24613(3),24613(9),10913(9),24613(8),24613(18),24613(25),50414(31),51719(35),9899(22,R),24613(15),20602(16),24613(6)]),flip(a)]. given #1521 (F,wt=23): 55395 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(f(x,f(x,z)),f(y,y))))))) = c_0 # label(false). [para(53244(a,1),43337(a,2)),rewrite([24613(6),24613(9),24613(10)])]. given #1522 (F,wt=23): 55518 f(x,f(c_0,f(f(y,z),f(c_0,f(z,f(f(y,y),f(z,f(z,x)))))))) = c_0 # label(false). [para(53245(a,1),24613(a,1)),rewrite([24613(6),24613(13)]),flip(a)]. given #1523 (F,wt=23): 55531 f(x,f(c_0,f(f(c_0,f(y,f(z,y))),f(f(z,z),f(y,f(x,y)))))) = c_0 # label(false). [para(43337(a,1),53245(a,1,2,2)),rewrite([24613(8),24613(10)])]. given #1524 (T,wt=19): 43465 f(f(x,y),f(c_0,f(z,f(y,f(x,y))))) = f(z,f(y,y)). [para(15203(a,1),43337(a,2,2,2)),rewrite([24613(5),24613(9),9899(9)])]. given #1525 (T,wt=19): 43467 f(x,f(c_0,f(f(y,f(c_0,f(x,z))),f(c_0,f(y,z))))) = c_0. [para(43337(a,2),15610(a,1,2,2,2)),rewrite([24613(6),24613(9)])]. given #1526 (T,wt=19): 43485 f(f(x,f(y,x)),f(c_0,f(z,x))) = f(z,f(c_0,f(y,x))). [para(26180(a,1),43337(a,1,2,2)),flip(a)]. given #1527 (T,wt=19): 43681 f(x,f(y,f(c_0,f(x,z)))) = f(x,f(x,f(c_0,f(z,y)))). [para(43337(a,1),26423(a,2,2)),rewrite([10913(12),38125(14),24613(10),32225(11)]),flip(a)]. given #1528 (A,wt=39): 26474 f(f(f(x,y),f(z,f(x,z))),f(x,f(f(x,y),f(f(x,y),f(z,f(x,z)))))) = f(f(x,y),f(f(x,y),f(z,f(x,z)))). [para(26415(a,1),24967(a,1,2,2,2)),rewrite([24613(10),26415(21),24613(18)])]. given #1529 (F,wt=23): 55535 f(f(x,y),f(c_0,f(f(c_0,f(z,x)),f(f(x,f(z,x)),f(y,y))))) = c_0 # label(false). [para(53333(a,1),24613(a,1)),rewrite([24613(9),24613(12),24613(13)]),flip(a)]. given #1530 (F,wt=23): 55539 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(f(x,f(y,x)),f(z,z))))))) = c_0 # label(false). [para(53333(a,1),43337(a,2)),rewrite([24613(8),24613(9),24613(10),45033(12)])]. given #1531 (F,wt=23): 55747 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(f(y,y),f(x,f(x,z)))))) = c_0 # label(false). [para(53351(a,1),24613(a,1)),rewrite([24613(8),24613(12)]),flip(a)]. given #1532 (F,wt=23): 55762 f(x,f(c_0,f(f(x,y),f(c_0,f(f(x,f(z,z)),f(z,f(x,y))))))) = c_0 # label(false). [para(43337(a,2),53365(a,1,2,2))]. given #1533 (T,wt=19): 43774 f(f(x,f(y,y)),f(c_0,f(x,f(y,f(x,y))))) = f(x,y). [para(43337(a,1),28886(a,1,2,2)),rewrite([24613(2),24613(6),24613(7),9222(14),24613(11),43465(12),24613(8),24613(9)])]. given #1534 (T,wt=19): 43791 f(x,f(c_0,f(y,f(z,f(c_0,f(u,f(x,x))))))) = f(x,y). [para(32518(a,1),43337(a,2,2,2)),rewrite([24613(7),9849(12),24613(10)])]. given #1535 (T,wt=19): 43817 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(c_0,f(u,z))))) = c_0. [para(43337(a,1),33286(a,1,1,2)),rewrite([24613(8),24613(11),9899(13,R),24613(11),10913(11),24613(10)])]. given #1536 (T,wt=19): 43830 f(f(x,f(x,f(y,z))),f(x,f(y,f(c_0,f(u,z))))) = x. [para(43337(a,1),33381(a,1,1,2)),rewrite([24613(7),24613(10),9899(12,R),24613(10),10913(10),24613(9)])]. given #1537 (A,wt=27): 26476 f(f(x,y),f(f(z,f(x,y)),f(x,f(x,f(u,f(u,f(x,y))))))) = f(z,f(x,y)). [para(26407(a,1),26415(a,1,2,2,2)),rewrite([24613(3),24613(8),24613(12)])]. given #1538 (F,wt=23): 55765 f(f(x,y),f(c_0,f(y,f(c_0,f(f(z,y),f(f(x,x),f(z,y))))))) = c_0 # label(false). [para(11(a,1),53366(a,1,2,2,1)),rewrite([11(3),24613(7)])]. given #1539 (F,wt=23): 55854 f(f(x,f(f(x,y),f(x,z))),f(x,f(x,f(f(x,z),f(y,y))))) = x # label(false). [para(11(a,1),53372(a,1,2,2,2,2)),rewrite([24613(3),24613(8),24613(10)])]. given #1540 (F,wt=23): 55872 f(f(c_0,f(f(x,y),f(x,z))),f(x,f(x,f(f(x,z),f(y,y))))) = x # label(false). [para(11(a,1),53395(a,1,2,2,2,2)),rewrite([24613(3),24613(9),24613(11)])]. given #1541 (F,wt=23): 55880 f(f(x,f(y,y)),f(c_0,f(f(x,z),f(x,f(x,f(y,f(x,z))))))) = x # label(false). [para(53395(a,1),43337(a,1)),rewrite([24613(9)]),flip(a)]. given #1542 (T,wt=19): 43840 f(f(x,f(y,f(z,u))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(43337(a,1),33471(a,1,1,2)),rewrite([24613(7),24613(10),9899(12,R),24613(10),10913(10),24613(9)])]. given #1543 (T,wt=19): 43843 f(f(x,f(y,f(z,u))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(43337(a,1),33791(a,1,2,2)),rewrite([9899(7,R),24613(5),10913(5)])]. given #1544 (T,wt=19): 43844 f(f(x,f(y,f(z,u))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(43337(a,2),33791(a,1,2,2)),rewrite([9899(7,R),24613(5),10913(5),24613(6)])]. given #1545 (T,wt=19): 43904 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(u,f(c_0,f(z,y)))). [para(43337(a,1),37351(a,1,2,2,2)),rewrite([24613(5),42140(10)])]. given #1546 (A,wt=23): 26477 f(x,f(f(x,y),f(f(x,z),f(f(x,z),f(u,f(x,u)))))) = f(x,y). [para(26415(a,1),26415(a,1,2,2,2)),rewrite([24613(7)])]. given #1547 (F,wt=23): 55885 f(x,f(f(x,y),f(z,f(f(x,y),f(f(x,y),f(x,z)))))) = f(x,y) # label(false). [para(11(a,1),55881(a,1,1)),rewrite([24613(1),24613(2),24613(3),24613(4),24613(6),543(6),24613(4),24613(10)])]. given #1548 (F,wt=23): 55886 f(x,f(f(y,x),f(z,f(f(y,x),f(f(y,x),f(x,z)))))) = f(y,x) # label(false). [para(11(a,1),55881(a,1,2,2,2,2,2,2)),rewrite([11(3),24613(4)])]. given #1549 (F,wt=23): 55889 f(f(x,f(y,f(x,f(x,f(y,f(x,z)))))),f(c_0,f(x,f(x,z)))) = c_0 # label(false). [para(55881(a,1),24622(a,1,2,2,2)),rewrite([24613(9)])]. given #1550 (F,wt=23): 55953 f(f(x,f(y,f(x,f(x,f(y,f(z,x)))))),f(c_0,f(x,f(z,x)))) = c_0 # label(false). [para(55888(a,1),32413(a,1,2,2,2,2,2)),rewrite([11(3),7716(8),11(10),24613(9),26180(10)])]. given #1551 (T,wt=19): 43906 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(u,f(c_0,f(y,z)))). [para(43337(a,2),37351(a,1,2,2,2)),rewrite([41484(10)])]. given #1552 (T,wt=19): 43909 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(z,f(c_0,f(y,u)))). [para(43337(a,1),37352(a,1,2,2,2)),rewrite([37629(7),24613(7)])]. given #1553 (T,wt=19): 43995 f(x,f(c_0,f(f(y,z),f(x,f(y,f(c_0,f(u,z))))))) = c_0. [para(43337(a,1),39910(a,1,2,2,1,2)),rewrite([24613(8),24613(11),9899(13,R),24613(11),10913(11),24613(8)])]. given #1554 (T,wt=19): 44141 f(f(x,y),f(c_0,f(z,x))) = f(z,f(c_0,f(x,f(x,y)))). [para(39281(a,1),43337(a,1,2,2)),rewrite([24613(8),24613(12),38748(16)]),flip(a)]. given #1555 (A,wt=39): 26504 f(f(f(x,y),f(z,f(y,z))),f(y,f(f(x,y),f(f(x,y),f(z,f(y,z)))))) = f(f(x,y),f(f(x,y),f(z,f(y,z)))). [para(26416(a,1),24967(a,1,2,2,2)),rewrite([24613(10),26416(21),24613(18)])]. given #1556 (F,wt=23): 56286 f(f(c_0,f(f(x,x),f(y,f(z,x)))),f(f(x,f(z,x)),f(y,y))) = c_0 # label(false). [para(27333(a,1),53703(a,1,1,2,2)),rewrite([24613(4),9899(4),9849(4),24613(3),24613(5),9899(5),24613(5),24613(9),9899(9),9849(9),24613(9),9899(9),24613(11),9899(11),9849(11),24613(10),11(10),24613(8)])]. given #1557 (F,wt=23): 56302 f(f(c_0,f(x,f(c_0,f(y,f(x,z))))),f(f(x,f(x,y)),f(z,z))) = c_0 # label(false). [para(43337(a,1),53703(a,1,1,2)),rewrite([24613(4),24613(8)])]. given #1558 (F,wt=23): 56304 f(f(c_0,f(x,f(c_0,f(y,f(y,z))))),f(f(y,f(x,y)),f(z,z))) = c_0 # label(false). [para(43337(a,2),53703(a,1,1,2))]. given #1559 (F,wt=23): 56412 f(x,f(c_0,f(f(x,y),f(c_0,f(f(z,x),f(f(z,x),f(y,y))))))) = c_0 # label(false). [para(11(a,1),53883(a,1,2,2,1,2)),rewrite([11(3),24613(2)])]. given #1560 (T,wt=19): 44495 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(u,f(x,z))))) = c_0. [para(43451(a,1),27943(a,1,2,2,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(5)])]. given #1561 (T,wt=19): 44504 f(f(x,f(y,f(z,f(u,u)))),f(c_0,f(y,u))) = f(y,u). [para(43451(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(6),43451(14),24613(9)])]. given #1562 (T,wt=19): 44508 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(u,f(y,y)))))) = c_0. [para(43451(a,1),33286(a,1,1,2)),rewrite([9899(14,R),24613(10),10913(10)])]. given #1563 (T,wt=19): 44512 f(f(x,f(y,z)),f(x,f(x,f(z,f(u,f(y,y)))))) = x. [para(43451(a,1),33381(a,1,1,2)),rewrite([9899(13,R),24613(9),10913(9)])]. given #1564 (A,wt=27): 26556 f(f(x,y),f(f(z,f(x,y)),f(y,f(y,f(u,f(u,f(x,y))))))) = f(z,f(x,y)). [para(26420(a,1),26415(a,1,2,2,2)),rewrite([24613(3),24613(8),24613(12)])]. given #1565 (F,wt=23): 56423 f(x,f(c_0,f(f(x,y),f(c_0,f(f(x,z),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(11(a,1),53884(a,1,1)),rewrite([24613(2),24613(4),24613(7),24613(9),543(9),24613(7),24613(8)])]. given #1566 (F,wt=23): 56424 f(x,f(c_0,f(f(y,x),f(c_0,f(f(x,z),f(f(y,x),f(z,z))))))) = c_0 # label(false). [para(11(a,1),53884(a,1,2,2,2,2,2,2)),rewrite([11(3),24613(7),24613(8)])]. given #1567 (F,wt=23): 56616 f(f(f(x,x),f(y,f(z,y))),f(c_0,f(f(x,f(z,y)),f(y,y)))) = c_0 # label(false). [para(27333(a,1),54193(a,1,2,2,2)),rewrite([24613(4),9899(4),9849(4),24613(4),9899(4),24613(6),9899(6),9849(6),24613(5),11(5),24613(3),24613(8),9899(8),9849(8),24613(9),9899(9)])]. given #1568 (F,wt=23): 56659 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(f(x,f(z,x)),f(y,y))))))) = c_0 # label(false). [para(54225(a,1),32621(a,1,1,2)),rewrite([24613(2),24613(9),10913(9),24613(7),24613(17),24613(24),50414(31),51719(35),9899(22,R),24613(15),20602(16),24613(5)]),flip(a)]. given #1569 (T,wt=19): 44516 f(f(x,f(x,y)),f(x,f(z,f(y,f(u,f(x,x)))))) = x. [para(43451(a,1),33471(a,1,1,2)),rewrite([9899(13,R),24613(9),10913(9)])]. given #1570 (T,wt=19): 44518 f(f(x,f(y,f(z,f(u,f(x,x))))),f(c_0,f(x,z))) = c_0. [para(43451(a,1),33791(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7)])]. given #1571 (T,wt=19): 44544 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(u,f(y,y)))))) = c_0. [para(43451(a,1),39910(a,1,2,2,1,2)),rewrite([9899(14,R),24613(10),10913(10)])]. given #1572 (T,wt=19): 44562 f(x,f(y,f(f(y,z),f(y,f(x,x))))) = f(x,f(y,z)). [para(27135(a,1),43451(a,1,2))]. given #1573 (A,wt=27): 26562 f(f(x,y),f(c_0,f(f(z,f(x,y)),f(f(z,f(x,y)),f(u,f(u,f(x,y))))))) = c_0. [para(12170(a,1),26417(a,1,1)),rewrite([12170(12)])]. given #1574 (F,wt=23): 56678 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,z)),f(z,f(x,f(x,y)))))))) = c_0 # label(false). [para(54240(a,1),43337(a,2)),rewrite([24613(10)])]. given #1575 (F,wt=23): 56762 f(f(c_0,f(x,f(c_0,f(y,f(z,x))))),f(f(z,z),f(x,f(y,x)))) = c_0 # label(false). [para(24613(a,1),54355(a,1,1,2)),rewrite([24613(6),24613(9)])]. given #1576 (F,wt=23): 56780 f(f(c_0,f(x,f(c_0,f(y,f(z,y))))),f(f(z,z),f(y,f(x,y)))) = c_0 # label(false). [para(43337(a,2),54355(a,1,1,2)),rewrite([24613(4),24613(9)])]. given #1577 (F,wt=23): 56901 f(f(x,f(y,f(z,y))),f(c_0,f(f(y,y),f(f(z,y),f(x,x))))) = c_0 # label(false). [para(11(a,1),54372(a,1,2,2,1,2,2)),rewrite([24613(4),36133(15)])]. given #1578 (T,wt=19): 44833 f(x,f(c_0,f(y,f(x,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(26180(a,1),43452(a,1,2,2)),flip(a)]. given #1579 (T,wt=19): 44852 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(z,f(u,x))))))) = c_0. [para(27943(a,1),43468(a,1,2,2,2)),rewrite([24613(12),9849(12),24613(10),9899(10),24613(10)])]. given #1580 (T,wt=19): 44854 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(u,x)))))))) = c_0. [para(28007(a,1),43468(a,1,2,2,2)),rewrite([24613(4),9899(13),9849(13),24613(11)])]. given #1581 (T,wt=19): 44865 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [para(33375(a,1),43468(a,1,2,2,2)),rewrite([24613(12),10913(13),24613(10)])]. given #1582 (A,wt=27): 26570 f(f(c_0,f(f(x,y),f(z,f(x,y)))),f(f(z,f(x,y)),f(u,f(u,f(x,y))))) = c_0. [para(12170(a,1),26421(a,1,1,2,2,2)),rewrite([12170(15),24613(11),24613(13)])]. given #1583 (F,wt=23): 56902 f(x,f(c_0,f(f(c_0,f(y,f(x,z))),f(f(x,f(x,y)),f(z,z))))) = c_0 # label(false). [para(11(a,1),54372(a,1,2,2,2,2,2,2)),rewrite([24613(5),24613(10)])]. given #1584 (F,wt=23): 56906 f(x,f(c_0,f(f(y,f(x,f(z,x))),f(c_0,f(z,f(x,f(y,y))))))) = c_0 # label(false). [para(54372(a,1),32621(a,1,1,2)),rewrite([24613(7),10913(7),24613(4),24613(18),50414(27),51719(31),9899(22,R),24613(14),20602(15),24613(3)]),flip(a)]. given #1585 (F,wt=23): 56932 f(x,f(c_0,f(f(y,f(z,f(z,x))),f(c_0,f(z,f(z,f(y,y))))))) = c_0 # label(false). [para(54399(a,1),24613(a,1)),rewrite([24613(3),24613(13)]),flip(a)]. given #1586 (F,wt=23): 57038 f(x,f(c_0,f(f(x,f(y,y)),f(c_0,f(z,f(y,f(x,f(z,x)))))))) = c_0 # label(false). [para(54418(a,1),32621(a,1,1,2)),rewrite([24613(2),24613(8),10913(8),24613(8),24613(15),24613(23),50414(29),51719(33),9899(23,R),24613(15),20602(16),24613(6)]),flip(a)]. given #1587 (T,wt=19): 44868 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(c_0,f(u,y))))))) = c_0. [para(33478(a,1),43468(a,1,2,2,2)),rewrite([24613(13),10913(14),24613(11)])]. given #1588 (T,wt=19): 44878 f(x,f(c_0,f(y,f(c_0,f(f(z,x),f(c_0,f(z,u))))))) = c_0. [para(39992(a,1),43468(a,1,2,2,2)),rewrite([9899(13),9849(13),24613(11)])]. given #1589 (T,wt=19): 44952 f(x,f(f(x,y),f(z,f(z,f(u,f(x,z)))))) = f(x,y). [para(43488(a,1),26415(a,1,2,2,2)),rewrite([24613(9),10913(9)])]. given #1590 (T,wt=19): 44963 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,z)))))))) = c_0. [para(43488(a,1),27942(a,1,1,2,2)),rewrite([9899(3),9849(3),24613(8)])]. given #1591 (A,wt=39): 26580 f(f(x,f(y,f(y,f(x,z)))),f(f(x,f(x,z)),f(u,f(x,f(y,f(y,f(x,z))))))) = f(u,f(x,f(y,f(y,f(x,z))))). [para(26421(a,1),26415(a,1,2,2,2)),rewrite([24613(9),24613(15),10913(15),24613(12),24613(18)])]. given #1592 (F,wt=23): 57094 f(x,f(c_0,f(f(y,x),f(c_0,f(f(x,f(z,z)),f(z,f(y,x))))))) = c_0 # label(false). [para(11(a,1),54534(a,1,2,2,2,2,2,1)),rewrite([11(3),24613(5),24613(8)])]. given #1593 (F,wt=23): 57155 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(f(x,f(x,y)),f(z,z))))))) = c_0 # label(false). [para(11(a,1),54554(a,1,2,2,2,2,1,2)),rewrite([24613(5),24613(7)])]. given #1594 (F,wt=23): 57276 f(x,f(c_0,f(f(x,f(y,y)),f(c_0,f(f(z,x),f(y,f(z,x))))))) = c_0 # label(false). [para(11(a,1),54721(a,1,2,2,2,1)),rewrite([11(3),24613(5),24613(10)])]. given #1595 (F,wt=23): 57437 f(f(c_0,f(x,f(c_0,f(y,f(x,z))))),f(f(x,f(y,x)),f(z,z))) = c_0 # label(false). [para(43453(a,2),53703(a,1,1,2)),rewrite([24613(6),51492(8)])]. given #1596 (T,wt=19): 44976 f(f(x,x),f(c_0,f(f(y,z),f(f(x,u),f(y,z))))) = c_0. [para(32225(a,1),43488(a,1,2,2,2,2)),rewrite([24613(6)])]. given #1597 (T,wt=19): 45030 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(z,x)))))))) = c_0. [para(43488(a,1),43468(a,1,2,2,2)),rewrite([24613(3),9899(12),9849(12),24613(10)])]. given #1598 (T,wt=19): 45047 f(f(x,f(y,f(x,z))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [back_rewrite(44967),rewrite([45033(10)])]. given #1599 (T,wt=19): 45362 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,y)))))))) = c_0. [back_rewrite(34243),rewrite([45033(10)])]. given #1600 (A,wt=35): 26599 f(f(x,f(x,y)),f(c_0,f(f(z,f(x,f(x,y))),f(f(x,f(x,f(y,f(x,y)))),f(z,f(x,f(x,y))))))) = c_0. [para(24885(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(6),24613(9),24613(13),24613(14)])]. given #1601 (F,wt=23): 57565 f(x,f(c_0,f(f(x,f(x,y)),f(x,f(z,f(z,f(x,f(y,y)))))))) = c_0 # label(false). [para(43454(a,2),50123(a,1)),rewrite([24613(9)])]. given #1602 (F,wt=23): 57567 f(x,f(c_0,f(f(x,f(x,y)),f(y,f(z,f(z,f(y,f(x,x)))))))) = c_0 # label(false). [para(43454(a,2),50373(a,1)),rewrite([24613(9)])]. given #1603 (F,wt=23): 57575 f(x,f(c_0,f(y,f(y,f(z,f(y,f(y,f(z,f(y,f(x,y)))))))))) = c_0 # label(false). [para(43454(a,2),52829(a,1,2,2)),rewrite([51131(10),10913(12)])]. given #1604 (F,wt=23): 57700 f(x,f(c_0,f(f(c_0,f(y,f(y,z))),f(f(y,f(y,x)),f(z,z))))) = c_0 # label(false). [para(55372(a,1),24613(a,1)),rewrite([24613(7),24613(13)]),flip(a)]. given #1605 (T,wt=19): 45363 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(x,x)))))))) = c_0. [back_rewrite(34242),rewrite([45033(10)])]. given #1606 (T,wt=19): 45366 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(y,f(x,u))))))) = c_0. [back_rewrite(33811),rewrite([45033(10)])]. given #1607 (T,wt=19): 45387 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,x)))))))) = c_0. [back_rewrite(28535),rewrite([45033(10)])]. given #1608 (T,wt=19): 45391 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(y,x)))))))) = c_0. [back_rewrite(28050),rewrite([45033(10)])]. given #1609 (A,wt=31): 26601 f(f(x,y),f(c_0,f(f(z,f(x,y)),f(f(z,f(x,y)),f(x,f(x,f(u,f(u,f(x,y))))))))) = c_0. [para(26407(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(4),24613(6),24613(11)])]. given #1610 (F,wt=23): 57755 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(f(x,f(z,x)),f(y,y))))))) = c_0 # label(false). [para(55395(a,1),32621(a,1,1,2)),rewrite([24613(2),24613(9),10913(9),24613(8),24613(16),24613(24),50414(31),51719(35),9899(24,R),24613(16),20602(17),24613(5)]),flip(a)]. given #1611 (F,wt=23): 57764 f(x,f(c_0,f(f(c_0,f(y,f(z,y))),f(f(z,z),f(y,f(y,x)))))) = c_0 # label(false). [para(55531(a,1),32621(a,1,1,2)),rewrite([24613(2),24613(6),24613(12),24613(17),24613(25),26878(33),24613(8)]),flip(a)]. given #1612 (F,wt=23): 57797 f(x,f(c_0,f(f(f(y,y),f(x,z)),f(c_0,f(f(y,x),f(x,z)))))) = c_0 # label(false). [para(43485(a,2),52306(a,1)),rewrite([33741(12)])]. given #1613 (F,wt=23): 58091 f(f(x,y),f(c_0,f(x,f(c_0,f(f(z,x),f(f(z,x),f(y,y))))))) = c_0 # label(false). [para(55765(a,1),32621(a,1,1,2)),rewrite([24613(5),24613(9),10913(9),24613(10),24613(14),24613(15),24613(20),24613(27),50414(31),51719(35),9899(22,R),24613(15),20602(16),24613(2),24613(8)]),flip(a)]. given #1614 (T,wt=19): 45393 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(y,x)))))))) = c_0. [back_rewrite(28009),rewrite([45033(10)])]. given #1615 (T,wt=19): 45397 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(y,x)))))))) = c_0. [back_rewrite(26645),rewrite([45033(11)])]. given #1616 (T,wt=19): 45638 f(x,f(f(x,y),f(z,f(x,f(u,f(x,z)))))) = f(x,y). [para(43490(a,1),26415(a,1,2,2,2)),rewrite([24613(9),10913(9)])]. given #1617 (T,wt=19): 45650 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(x,z)))))))) = c_0. [para(43490(a,1),28007(a,1,2,2,2,2,2)),rewrite([24613(10),10913(10)])]. given #1618 (A,wt=27): 26602 f(x,f(c_0,f(f(x,y),f(f(x,y),f(f(x,z),f(f(x,z),f(u,f(x,u)))))))) = c_0. [para(26415(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(9)])]. given #1619 (F,wt=23): 58098 f(f(x,f(f(x,y),f(x,z))),f(x,f(x,f(f(x,y),f(z,z))))) = x # label(false). [para(55854(a,1),24613(a,1)),rewrite([24613(8),24613(10)]),flip(a)]. given #1620 (F,wt=23): 58108 f(f(c_0,f(f(x,y),f(x,z))),f(x,f(x,f(f(x,y),f(z,z))))) = x # label(false). [para(55854(a,1),38746(a,1,2,2,1)),rewrite([24613(8),24613(12),9899(14,R),24613(11),27357(11),24613(11),24613(15),9899(17,R),24613(14),27357(14),54904(19),24613(10),33512(12),24613(11)])]. given #1621 (F,wt=23): 58122 f(f(x,f(x,f(f(y,y),f(x,z)))),f(c_0,f(f(y,x),f(x,z)))) = x # label(false). [para(24613(a,1),55872(a,1,1,2,1)),rewrite([24613(8),24613(11)])]. given #1622 (F,wt=23): 58139 f(f(x,y),f(c_0,f(f(x,z),f(x,f(x,f(f(x,z),f(y,y))))))) = x # label(false). [para(11(a,1),55880(a,1,1,2)),rewrite([24613(6)])]. given #1623 (T,wt=19): 45702 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,x)))))))) = c_0. [para(43490(a,1),43337(a,1,2,2)),rewrite([9870(4),24613(3),24613(11),45033(11)]),flip(a)]. given #1624 (T,wt=19): 45737 f(f(x,y),f(y,f(z,f(y,f(x,f(c_0,f(y,u))))))) = y. [para(43552(a,1),37135(a,1,2,1)),rewrite([24613(7),43552(16)])]. given #1625 (T,wt=19): 45740 f(f(x,y),f(y,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = y. [para(36796(a,1),43552(a,1,2,2,2,2))]. given #1626 (T,wt=19): 45744 f(f(x,f(y,f(x,z))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(43552(a,1),38947(a,1,2,1)),rewrite([24613(6),24613(7),24613(9),24613(10),43580(16)])]. given #1627 (A,wt=31): 26604 f(f(x,y),f(c_0,f(f(z,f(x,y)),f(f(z,f(x,y)),f(y,f(y,f(u,f(u,f(x,y))))))))) = c_0. [para(26420(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(4),24613(6),24613(11)])]. given #1628 (F,wt=23): 58145 f(f(x,f(y,y)),f(x,f(f(x,z),f(x,f(x,f(y,f(x,z))))))) = x # label(false). [para(55880(a,1),37351(a,1,2,2)),rewrite([24613(9),55880(21)])]. given #1629 (F,wt=23): 58249 f(x,f(f(x,y),f(z,f(f(x,y),f(f(x,z),f(x,y)))))) = f(x,y) # label(false). [para(24613(a,1),55885(a,1,2)),rewrite([24613(4),24613(8)])]. given #1630 (F,wt=23): 58294 f(f(x,f(y,f(x,f(x,f(y,f(x,f(x,z))))))),f(c_0,f(x,z))) = c_0 # label(false). [para(7716(a,1),55889(a,1,2,2))]. given #1631 (F,wt=23): 58685 f(f(x,f(y,f(y,f(x,z)))),f(x,f(f(x,z),f(x,f(y,y))))) = x # label(false). [para(44562(a,1),26407(a,1,2,2,2)),rewrite([24613(10)])]. given #1632 (T,wt=19): 45790 f(f(x,y),f(x,f(z,f(x,f(y,f(c_0,f(x,u))))))) = x. [para(43580(a,1),37135(a,1,2,1)),rewrite([24613(7),43580(16)])]. given #1633 (T,wt=19): 45793 f(f(x,y),f(x,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = x. [para(36796(a,1),43580(a,1,2,2,2,2))]. given #1634 (T,wt=19): 45813 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,z)))))) = f(x,y). [para(43664(a,1),26415(a,1,2,2,2)),rewrite([24613(10),10913(10)])]. given #1635 (T,wt=19): 45821 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,z)))))))) = c_0. [para(43664(a,1),28007(a,1,2,2,2,2,2)),rewrite([24613(11),10913(11)])]. given #1636 (A,wt=43): 26605 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(f(u,f(x,f(y,f(y,f(x,z))))),f(f(x,f(x,z)),f(u,f(x,f(y,f(y,f(x,z))))))))) = c_0. [para(26421(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(10),24613(15),24613(21),10913(21),24613(18)])]. given #1637 (F,wt=23): 58731 f(f(c_0,f(x,f(f(y,y),f(x,z)))),f(x,f(f(y,x),f(x,z)))) = c_0 # label(false). [para(44562(a,1),52496(a,1,2,2,2,2,2)),rewrite([9899(6,R),24613(6),9849(6),24613(4),24613(5),24613(13),53771(15)])]. given #1638 (F,wt=23): 58748 f(f(x,x),f(c_0,f(f(y,f(x,f(z,x))),f(f(z,x),f(y,y))))) = c_0 # label(false). [para(11(a,1),56678(a,1,2,2,2,2,2,2,2)),rewrite([24613(9),24613(11),35679(15)])]. given #1639 (F,wt=23): 58816 f(x,f(c_0,f(f(c_0,f(y,f(x,z))),f(f(x,f(y,x)),f(z,z))))) = c_0 # label(false). [para(56902(a,1),24613(a,1)),rewrite([24613(7),24613(13)]),flip(a)]. given #1640 (F,wt=23): 58886 f(f(x,x),f(c_0,f(f(y,f(z,x)),f(f(x,f(z,x)),f(y,y))))) = c_0 # label(false). [para(11(a,1),57155(a,1,2,2,2,2,2,1,2)),rewrite([24613(6),24613(8),35679(15)])]. given #1641 (T,wt=19): 45859 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(z,x)))))))) = c_0. [para(43664(a,1),43337(a,1,2,2)),rewrite([9870(4),24613(4),24613(12),45033(12)]),flip(a)]. given #1642 (T,wt=19): 45900 f(f(x,f(c_0,f(y,z))),f(x,f(z,f(c_0,f(y,x))))) = x. [para(33026(a,1),43923(a,1,2,2,1)),rewrite([9899(3,R),24613(3),24613(4),9899(7,R),24613(7),9899(10,R),24613(10),24613(11),9899(14,R),24613(14),24613(15),42764(15),45282(16),45418(16)])]. given #1643 (T,wt=19): 46059 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,x))))))) = c_0. [para(33057(a,1),44950(a,1,2,2,2,2)),rewrite([24613(8),24613(11),45033(11)])]. given #1644 (T,wt=19): 46455 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(y,u)))) = c_0. [para(43449(a,1),35116(a,1,2,2,2,2)),rewrite([24613(5),10913(11)])]. given #1645 (A,wt=31): 26650 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(26376(a,1),26415(a,1,2,2,2)),rewrite([24613(9),24613(14),10913(14),24613(11),24613(17)])]. given #1646 (F,wt=23): 58918 f(f(x,x),f(c_0,f(f(y,f(z,z)),f(c_0,f(y,f(z,f(x,y))))))) = c_0 # label(false). [para(52556(a,1),44976(a,1,2,2,2)),rewrite([24613(14),10913(14)])]. given #1647 (F,wt=23): 58922 f(f(x,x),f(c_0,f(f(y,z),f(c_0,f(y,f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(53198(a,1),44976(a,1,2,2,2)),rewrite([24613(14),10913(14)])]. given #1648 (F,wt=23): 58923 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(y,f(z,f(x,y))))))))) = c_0 # label(false). [para(55888(a,1),44976(a,1,2,2,2)),rewrite([24613(9)])]. given #1649 (F,wt=23): 58934 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(c_0,f(z,f(z,f(y,y))))))) = c_0 # label(false). [para(54044(a,1),44976(a,1,2,2,2)),rewrite([24613(14),10913(14)])]. given #1650 (T,wt=19): 46533 f(f(x,f(y,z)),f(c_0,f(u,f(u,f(x,f(y,y)))))) = c_0. [para(43450(a,1),27943(a,1,2,2,2,2)),rewrite([9899(9,R),24613(6),10913(6)])]. given #1651 (T,wt=19): 46577 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(y,f(z,u))))) = c_0. [para(43450(a,1),33286(a,1,1,2)),rewrite([9899(13,R),24613(10),10913(10)])]. given #1652 (T,wt=19): 46583 f(f(x,f(y,f(z,z))),f(x,f(x,f(y,f(z,u))))) = x. [para(43450(a,1),33381(a,1,1,2)),rewrite([9899(12,R),24613(9),10913(9)])]. given #1653 (T,wt=19): 46640 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(y,f(z,u))))) = c_0. [para(43450(a,1),39910(a,1,2,2,1,2)),rewrite([9899(13,R),24613(10),10913(10)])]. given #1654 (A,wt=23): 26682 f(f(x,x),f(f(y,f(x,x)),f(z,f(c_0,f(x,u))))) = f(y,f(x,x)). [para(26377(a,1),26415(a,1,2,2,2)),rewrite([24613(3),24613(6),24613(11),10913(11),24613(11)])]. given #1655 (F,wt=23): 58937 f(f(x,x),f(c_0,f(y,f(c_0,f(f(y,f(z,z)),f(z,f(x,y))))))) = c_0 # label(false). [para(54045(a,1),44976(a,1,2,2,2)),rewrite([24613(14),10913(14)])]. given #1656 (F,wt=23): 58942 f(f(x,x),f(c_0,f(f(c_0,f(y,f(y,z))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(55259(a,1),44976(a,1,2,2,2)),rewrite([24613(14),10913(14)])]. given #1657 (F,wt=23): 58943 f(f(x,x),f(c_0,f(y,f(c_0,f(f(y,z),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(55260(a,1),44976(a,1,2,2,2)),rewrite([24613(14),10913(14)])]. given #1658 (F,wt=23): 58977 f(x,f(c_0,f(f(x,f(x,f(y,y))),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(11(a,1),57565(a,1,2,2,2,2,2,2,2))]. given #1659 (T,wt=19): 46779 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,y),f(u,w)))) = c_0. [para(24746(a,1),45399(a,1,2,2,2,2,1)),rewrite([10913(10)])]. given #1660 (T,wt=19): 46820 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(36796(a,1),45399(a,1,2,2,2,2)),rewrite([24613(4),24613(5)])]. given #1661 (T,wt=19): 46833 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(u,f(x,y)))))) = c_0. [para(27135(a,2),45399(a,1,2,2,2,2)),rewrite([24613(4),24613(5),24613(6),24613(7),10913(10)])]. given #1662 (T,wt=19): 47239 f(f(x,f(y,f(c_0,f(z,x)))),f(z,f(c_0,f(x,y)))) = x. [back_rewrite(36731),rewrite([47192(20),42764(15),45282(16),45418(16),24613(6),24613(10)])]. given #1663 (A,wt=27): 26699 f(f(c_0,f(f(x,y),f(z,f(x,y)))),f(f(x,y),f(u,f(u,f(z,f(x,y)))))) = c_0. [para(12170(a,1),26456(a,1,1,2,2)),rewrite([24613(5),12170(12),24613(10)])]. given #1664 (F,wt=23): 58981 f(x,f(x,f(f(x,f(x,y)),f(x,f(z,f(z,f(x,f(y,y)))))))) = c_0 # label(false). [para(27135(a,1),57565(a,1,2))]. given #1665 (F,wt=19): 59530 f(f(x,f(x,y)),f(x,f(z,f(z,f(x,f(y,y)))))) = x # label(false). [para(58981(a,1),26420(a,1,2,2,2)),rewrite([59529(9),9899(11),24613(11),24366(11),24613(3),9849(3)]),flip(a)]. given #1666 (F,wt=19): 59537 f(f(x,f(x,f(y,y))),f(x,f(z,f(z,f(x,y))))) = x # label(false). [para(11(a,1),59530(a,1,2,2,2,2,2))]. given #1667 (F,wt=23): 58990 f(x,f(c_0,f(y,f(y,f(z,f(y,f(y,f(z,f(y,f(y,x)))))))))) = c_0 # label(false). [para(57575(a,1),24613(a,1)),rewrite([24613(3),24613(12)]),flip(a)]. given #1668 (T,wt=15): 59509 f(f(x,y),f(x,f(y,f(c_0,f(z,x))))) = x. [para(47239(a,1),36730(a,1,2,2,2,2,2)),rewrite([9899(16,R),24613(14),10913(14),24613(11),24613(23),40466(23),24613(22),49305(22),50414(23),45418(23),24613(13),24613(16),38952(16),24613(10),47239(10),9899(12,R),24613(10),10913(10),24613(7)]),flip(a)]. given #1669 (T,wt=19): 47313 f(f(x,x),f(c_0,f(y,z))) = f(y,f(c_0,f(z,f(x,x)))). [para(43337(a,1),27357(a,1,2,2)),rewrite([24613(5),9899(5),24613(5),10913(9),24613(7),9899(7),24613(8)]),flip(a)]. given #1670 (T,wt=19): 47369 f(f(x,f(c_0,f(y,z))),f(y,f(z,f(c_0,f(y,x))))) = y. [para(26396(a,1),44005(a,1,2,2,1)),rewrite([24613(2),24613(6),24613(7),9899(8,R),24613(8),24613(10),24613(14),24613(15),9899(16,R),24613(16),10791(17),24613(16),42764(16),45282(17),45418(17),32520(11),24613(10)])]. given #1671 (T,wt=19): 47480 f(f(x,x),f(f(y,x),f(z,f(f(y,x),f(x,u))))) = c_0. [para(30737(a,1),28018(a,1,2,2)),rewrite([24613(8),9899(8),24613(8)])]. given #1672 (A,wt=35): 26711 f(f(f(x,y),f(z,f(x,f(u,f(x,y))))),f(c_0,f(f(x,f(u,f(x,y))),f(z,f(x,f(u,f(x,y))))))) = c_0. [para(24747(a,1),26456(a,1,2,2,2)),rewrite([24613(8),24613(14),24613(19),10913(19),24613(16),24613(17)])]. given #1673 (F,wt=23): 58997 f(x,f(c_0,f(y,f(x,f(z,f(x,f(x,f(z,f(x,f(x,y)))))))))) = c_0 # label(false). [para(57575(a,1),43337(a,2)),rewrite([24613(2),24613(9)])]. given #1674 (F,wt=23): 59076 f(f(c_0,f(f(x,y),f(y,z))),f(y,f(y,f(f(x,y),f(z,z))))) = y # label(false). [para(24613(a,1),58108(a,1,1,2,1)),rewrite([24613(6)])]. given #1675 (F,wt=23): 59084 f(f(x,y),f(c_0,f(f(x,z),f(x,f(x,f(f(x,y),f(z,z))))))) = x # label(false). [para(58122(a,1),43337(a,1)),rewrite([24613(5),24613(8),24613(9)]),flip(a)]. given #1676 (F,wt=23): 59085 f(f(x,y),f(c_0,f(f(y,z),f(y,f(y,f(f(x,x),f(y,z))))))) = y # label(false). [para(58122(a,1),43337(a,2))]. given #1677 (T,wt=17): 59722 f(f(x,y),f(y,f(x,f(f(z,y),f(y,u))))) = y. [para(59076(a,1),34347(a,1,2,2)),rewrite([59076(11),9899(12,R),24613(8),10913(8),24613(6),59076(18)])]. given #1678 (T,wt=19): 47495 f(f(x,f(y,f(x,z))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(43337(a,1),28018(a,1,2,2)),rewrite([24613(6)])]. given #1679 (T,wt=19): 47622 f(f(x,y),f(y,f(x,x))) = f(c_0,f(y,f(x,f(x,y)))). [para(28886(a,1),44035(a,1,2,1,2)),rewrite([43460(7),9899(8,R),24613(8),43460(16),45033(13),10812(11),9870(9),24613(7),10913(7),24613(4)])]. given #1680 (T,wt=19): 47730 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(c_0,f(y,u))))) = c_0. [para(43337(a,1),28116(a,1,2,2)),rewrite([24613(6)])]. given #1681 (A,wt=35): 26714 f(f(c_0,f(f(x,f(x,y)),f(z,f(x,f(x,y))))),f(f(x,f(x,f(y,f(x,y)))),f(z,f(x,f(x,y))))) = c_0. [para(24885(a,1),26456(a,1,2,2,2)),rewrite([24613(6),24613(11),24613(15),24613(16)])]. given #1682 (F,wt=23): 59105 f(f(x,y),f(x,f(f(x,z),f(x,f(x,f(f(x,z),f(y,y))))))) = x # label(false). [para(58139(a,1),37351(a,1,2,2)),rewrite([24613(9),58139(21)])]. given #1683 (F,wt=23): 59168 f(f(x,f(y,f(x,f(x,f(y,f(x,f(z,x))))))),f(c_0,f(z,x))) = c_0 # label(false). [para(58294(a,1),32621(a,1,1,2)),rewrite([9899(2),24613(2),24613(3),24613(10),24613(17),24613(19),42609(22),24613(2),24613(10)]),flip(a)]. given #1684 (F,wt=23): 59241 f(f(x,x),f(c_0,f(f(y,f(z,x)),f(f(y,y),f(x,f(z,x)))))) = c_0 # label(false). [para(58886(a,1),24613(a,1)),rewrite([24613(8),24613(12)]),flip(a)]. given #1685 (F,wt=23): 59270 f(x,f(c_0,f(f(y,f(z,z)),f(c_0,f(y,f(z,f(y,f(x,x)))))))) = c_0 # label(false). [para(11(a,1),58918(a,1,1)),rewrite([24613(6)])]. given #1686 (T,wt=19): 47919 f(f(x,y),f(y,f(z,f(c_0,f(u,f(u,f(x,y))))))) = y. [para(11(a,1),28311(a,1,2,1)),rewrite([24613(4),11(12)])]. given #1687 (T,wt=19): 47920 f(f(x,y),f(x,f(z,f(c_0,f(u,f(u,f(x,y))))))) = x. [para(15153(a,1),28311(a,1,2,1)),rewrite([24613(4),15153(13)])]. given #1688 (T,wt=19): 48063 f(f(x,y),f(y,f(z,f(z,f(u,f(c_0,f(x,y))))))) = y. [para(11(a,1),28396(a,1,2,1)),rewrite([9899(4,R),24613(4),11(12)])]. given #1689 (T,wt=19): 48064 f(f(x,y),f(x,f(z,f(z,f(u,f(c_0,f(x,y))))))) = x. [para(15153(a,1),28396(a,1,2,1)),rewrite([9899(4,R),24613(4),15153(13)])]. given #1690 (A,wt=31): 26716 f(f(c_0,f(f(x,y),f(z,f(x,y)))),f(f(z,f(x,y)),f(x,f(x,f(u,f(u,f(x,y))))))) = c_0. [para(26407(a,1),26456(a,1,2,2,2)),rewrite([24613(4),24613(8),24613(13)])]. given #1691 (F,wt=23): 59273 f(f(x,x),f(c_0,f(f(y,f(z,z)),f(c_0,f(y,f(z,f(y,x))))))) = c_0 # label(false). [para(58918(a,1),24613(a,1)),rewrite([24613(6),24613(13)]),flip(a)]. given #1692 (F,wt=23): 59279 f(f(x,f(y,z)),f(c_0,f(y,f(c_0,f(f(y,f(x,x)),f(z,z)))))) = c_0 # label(false). [para(58918(a,1),43337(a,1)),rewrite([24613(3),24613(11),45033(13)]),flip(a)]. given #1693 (F,wt=23): 59280 f(f(x,f(y,y)),f(c_0,f(f(z,z),f(c_0,f(x,f(y,f(x,z))))))) = c_0 # label(false). [para(58918(a,1),43337(a,2)),rewrite([24613(5),24613(10)])]. given #1694 (F,wt=23): 59289 f(x,f(c_0,f(f(y,z),f(c_0,f(y,f(f(y,f(x,x)),f(z,z))))))) = c_0 # label(false). [para(11(a,1),58922(a,1,1)),rewrite([24613(5)])]. given #1695 (T,wt=19): 48303 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(c_0,f(y,u))))) = c_0. [para(43337(a,1),28406(a,1,2,2)),rewrite([24613(6)])]. given #1696 (T,wt=19): 48327 f(x,f(f(y,x),f(f(x,x),f(z,f(y,x))))) = f(y,x). [para(28644(a,1),47368(a,1,1,1)),rewrite([48325(8),24613(8),48325(17),48325(23),9899(23,R),24613(18),48325(25),48325(31),9899(31,R),24613(26),24613(28),42764(29),47194(30),48325(8)]),flip(a)]. given #1697 (T,wt=19): 48793 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(y,f(x,x)))))) = c_0. [para(33381(a,1),44702(a,1,2,2,2,2,2)),rewrite([24613(5),24613(7),7716(8),24613(7)])]. given #1698 (T,wt=19): 48810 f(f(x,y),f(x,f(z,f(f(x,y),f(x,f(x,z)))))) = x. [para(30646(a,1),25671(a,1,2,2,1)),rewrite([24613(8),26451(9),43430(8)])]. given #1699 (A,wt=27): 26718 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(f(x,z),f(f(x,z),f(u,f(x,u)))))) = c_0. [para(26415(a,1),26456(a,1,2,2,2)),rewrite([24613(11)])]. given #1700 (F,wt=23): 59292 f(f(x,x),f(c_0,f(f(y,z),f(c_0,f(y,f(f(y,x),f(z,z))))))) = c_0 # label(false). [para(58922(a,1),24613(a,1)),rewrite([24613(5),24613(13)]),flip(a)]. given #1701 (F,wt=23): 59293 f(f(x,x),f(c_0,f(f(y,z),f(c_0,f(z,f(f(x,z),f(y,y))))))) = c_0 # label(false). [para(24613(a,1),58922(a,1,2,2,1))]. given #1702 (F,wt=23): 59308 f(f(f(x,y),f(z,z)),f(c_0,f(x,f(c_0,f(f(x,z),f(y,y)))))) = c_0 # label(false). [para(58922(a,1),43337(a,1)),rewrite([24613(3),24613(11),45033(13)]),flip(a)]. given #1703 (F,wt=23): 59309 f(f(x,y),f(c_0,f(f(z,z),f(c_0,f(x,f(f(x,z),f(y,y))))))) = c_0 # label(false). [para(58922(a,1),43337(a,2)),rewrite([24613(4),24613(10)])]. given #1704 (T,wt=17): 60232 f(f(c_0,f(x,y)),f(x,f(f(z,z),f(x,y)))) = c_0. [para(59293(a,1),50331(a,1,1,2,2,2)),rewrite([24613(4),24613(6),9899(12),9222(12),24613(12),10913(12),24613(13),24613(15),9899(22,R),24613(22),9849(22),24613(20),44848(20),24613(16),50414(16),49931(14),10913(11)])]. given #1705 (T,wt=19): 48855 f(f(x,y),f(y,f(f(z,y),f(f(x,y),f(z,y))))) = y. [para(30826(a,2),25018(a,1,1,2,2)),rewrite([15203(6),24613(3),9899(3),9849(3),15203(5),15203(7),9849(5),15203(9),9849(7),24613(6),10791(10),15203(13),9849(11)])]. given #1706 (T,wt=19): 49100 f(f(c_0,f(x,f(y,z))),f(f(y,z),f(u,f(x,x)))) = c_0. [para(11(a,1),32330(a,1,1,2,2)),rewrite([24613(3),24613(7)])]. given #1707 (T,wt=19): 49102 f(f(c_0,f(f(x,x),f(y,z))),f(f(x,u),f(y,z))) = c_0. [para(24613(a,1),32330(a,1,1,2)),rewrite([24613(8)])]. given #1708 (A,wt=31): 26720 f(f(c_0,f(f(x,y),f(z,f(x,y)))),f(f(z,f(x,y)),f(y,f(y,f(u,f(u,f(x,y))))))) = c_0. [para(26420(a,1),26456(a,1,2,2,2)),rewrite([24613(4),24613(8),24613(13)])]. given #1709 (F,wt=23): 59319 f(x,f(c_0,f(y,f(y,f(z,f(y,f(y,f(z,f(y,f(x,x)))))))))) = c_0 # label(false). [para(11(a,1),58923(a,1,1)),rewrite([24613(3)])]. given #1710 (F,wt=23): 59322 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(y,f(z,f(y,x))))))))) = c_0 # label(false). [para(58923(a,1),24613(a,1)),rewrite([24613(3),24613(12)]),flip(a)]. given #1711 (F,wt=23): 59326 f(f(x,f(y,f(x,f(x,f(y,f(x,z)))))),f(c_0,f(x,f(z,z)))) = c_0 # label(false). [para(58923(a,1),43337(a,1)),rewrite([24613(2),24613(10)]),flip(a)]. given #1712 (F,wt=23): 59327 f(x,f(c_0,f(f(x,f(y,f(x,f(x,f(y,f(x,z)))))),f(z,z)))) = c_0 # label(false). [para(58923(a,1),43337(a,2)),rewrite([24613(2)])]. given #1713 (T,wt=19): 49257 f(f(x,f(y,y)),f(c_0,f(x,f(y,f(y,x))))) = f(y,x). [para(28886(a,1),32389(a,1,2,2,2)),rewrite([43460(7),24613(10),43460(10),47622(6)])]. given #1714 (T,wt=19): 49414 f(f(x,f(y,f(c_0,f(z,x)))),f(z,f(c_0,f(y,x)))) = x. [para(43337(a,1),32526(a,1,1)),rewrite([24613(6),24613(10)])]. given #1715 (T,wt=19): 49606 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(32448(a,1),32807(a,1,2,2)),rewrite([24613(9),24613(10)])]. given #1716 (T,wt=19): 49607 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(c_0,f(u,x))))) = c_0. [para(32800(a,1),32807(a,1,2,2)),rewrite([24613(9),24613(10)])]. given #1717 (A,wt=43): 26721 f(f(f(x,f(x,y)),f(z,f(x,f(u,f(u,f(x,y)))))),f(c_0,f(f(x,f(u,f(u,f(x,y)))),f(z,f(x,f(u,f(u,f(x,y)))))))) = c_0. [para(26421(a,1),26456(a,1,2,2,2)),rewrite([24613(10),24613(17),24613(23),10913(23),24613(20),24613(21)])]. given #1718 (F,wt=23): 59328 f(x,f(c_0,f(f(y,y),f(x,f(z,f(x,f(x,f(z,f(x,y))))))))) = c_0 # label(false). [para(58923(a,1),43452(a,1)),rewrite([24613(4)]),flip(a)]. given #1719 (F,wt=23): 59333 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(c_0,f(z,f(z,f(y,y))))))) = c_0 # label(false). [para(11(a,1),58934(a,1,1)),rewrite([24613(3)])]. given #1720 (F,wt=23): 59334 f(f(x,x),f(c_0,f(f(c_0,f(y,f(z,y))),f(f(x,y),f(z,z))))) = c_0 # label(false). [para(11(a,1),58934(a,1,2,2,2,2,2,2)),rewrite([24613(5),24613(7),24613(10)])]. given #1721 (F,wt=23): 59338 f(f(x,x),f(c_0,f(f(y,f(z,x)),f(c_0,f(z,f(z,f(y,y))))))) = c_0 # label(false). [para(58934(a,1),32621(a,1,1,2)),rewrite([24613(7),10913(7),24613(4),24613(19),50414(27),51719(31),9899(20,R),24613(13),20602(14),24613(4)]),flip(a)]. given #1722 (T,wt=19): 49621 f(f(c_0,f(f(x,x),f(y,y))),f(f(x,z),f(y,u))) = c_0. [para(41777(a,1),32807(a,1,2,2)),rewrite([9899(8,R),24613(8),9849(8),24613(6)])]. given #1723 (T,wt=19): 49962 f(f(x,x),f(y,f(f(x,z),f(u,f(c_0,f(w,x)))))) = x. [para(32800(a,1),33038(a,1,1,2,2,2)),rewrite([24613(5),24613(6),32800(14),24613(9),9899(9),24613(9),32800(15)])]. given #1724 (T,wt=19): 49965 f(f(x,f(y,f(z,f(u,f(z,x))))),f(c_0,f(z,x))) = c_0. [para(33038(a,1),32527(a,1,2,2)),rewrite([24613(1),24613(5),24613(7)])]. given #1725 (T,wt=19): 49993 f(x,f(c_0,f(y,f(z,f(x,f(u,f(y,x))))))) = f(y,x). [para(33038(a,1),43337(a,1)),rewrite([24613(7)]),flip(a)]. given #1726 (A,wt=35): 26753 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(f(y,f(y,f(x,z))),f(f(x,f(x,z)),f(y,f(y,f(x,z))))))) = c_0 # label(false). [para(26407(a,1),26544(a,1,2,2,2,2,2)),rewrite([24613(13),24613(14)])]. given #1727 (F,wt=23): 59344 f(f(x,f(y,y)),f(c_0,f(x,f(c_0,f(f(y,f(x,z)),f(z,z)))))) = c_0 # label(false). [para(58934(a,1),43337(a,1)),rewrite([24613(9),24613(11),45033(13)]),flip(a)]. given #1728 (F,wt=23): 59345 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(c_0,f(z,f(z,f(x,x))))))) = c_0 # label(false). [para(58934(a,1),43337(a,2)),rewrite([24613(10)])]. given #1729 (F,wt=23): 59391 f(x,f(c_0,f(y,f(c_0,f(f(y,f(z,z)),f(z,f(y,f(x,x)))))))) = c_0 # label(false). [para(11(a,1),58937(a,1,1)),rewrite([24613(6)])]. given #1730 (F,wt=23): 59394 f(f(x,x),f(c_0,f(y,f(c_0,f(f(y,f(z,z)),f(z,f(y,x))))))) = c_0 # label(false). [para(58937(a,1),24613(a,1)),rewrite([24613(6),24613(13)]),flip(a)]. given #1731 (T,wt=19): 49995 f(x,f(c_0,f(y,f(z,f(y,f(u,f(x,y))))))) = f(x,y). [para(33038(a,1),43337(a,2))]. given #1732 (T,wt=17): 60567 f(x,f(f(y,z),f(y,f(u,f(x,y))))) = f(x,y). [para(27135(a,2),49995(a,1,2,2)),rewrite([10913(9)])]. given #1733 (T,wt=17): 60569 f(x,f(f(y,z),f(z,f(u,f(x,z))))) = f(x,z). [para(30826(a,2),49995(a,1,2,2)),rewrite([10913(9)])]. given #1734 (T,wt=17): 60575 f(x,f(f(y,z),f(y,f(u,f(y,x))))) = f(y,x). [para(60567(a,1),24613(a,2)),rewrite([24613(2),24613(6),24613(7)])]. given #1735 (A,wt=23): 26788 f(f(x,x),f(f(x,y),f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(26518(a,1),26396(a,1,1)),rewrite([26518(9),9849(7),24613(5),24613(6)])]. given #1736 (F,wt=23): 59400 f(x,f(c_0,f(f(y,y),f(c_0,f(f(x,f(z,z)),f(z,f(x,y))))))) = c_0 # label(false). [para(58937(a,1),43337(a,2)),rewrite([24613(5),24613(10)])]. given #1737 (F,wt=23): 59409 f(x,f(c_0,f(f(c_0,f(y,f(y,z))),f(f(y,f(x,x)),f(z,z))))) = c_0 # label(false). [para(11(a,1),58942(a,1,1)),rewrite([24613(7)])]. given #1738 (F,wt=23): 59413 f(f(x,x),f(c_0,f(f(c_0,f(y,f(y,z))),f(f(y,x),f(z,z))))) = c_0 # label(false). [para(58942(a,1),24613(a,1)),rewrite([24613(7),24613(13)]),flip(a)]. given #1739 (F,wt=23): 59418 f(f(c_0,f(f(x,x),f(c_0,f(y,f(y,z))))),f(f(x,y),f(z,z))) = c_0 # label(false). [para(58942(a,1),43337(a,1)),rewrite([24613(13)]),flip(a)]. given #1740 (T,wt=17): 60613 f(x,f(f(y,z),f(z,f(u,f(z,x))))) = f(z,x). [para(60569(a,1),24613(a,2)),rewrite([24613(2),24613(6),24613(7)])]. given #1741 (T,wt=19): 49998 f(x,f(c_0,f(y,f(z,f(x,f(u,f(x,y))))))) = f(x,y). [para(33038(a,1),43478(a,2)),rewrite([24613(2),24613(9)])]. given #1742 (T,wt=19): 49999 f(f(x,f(y,x)),f(x,f(z,f(y,f(u,f(y,x)))))) = x. [para(33038(a,1),43552(a,1,2,2)),rewrite([24613(1),24613(5),24613(6),24613(8)])]. given #1743 (T,wt=19): 50020 f(x,f(c_0,f(y,f(z,f(y,f(u,f(y,x))))))) = f(y,x). [para(33046(a,1),43337(a,1)),rewrite([24613(7)]),flip(a)]. given #1744 (A,wt=27): 26828 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(26641(a,1),26415(a,1,2,2,2)),rewrite([24613(7),24613(13),10913(13),24613(10),24613(15)])]. given #1745 (F,wt=23): 59419 f(f(x,y),f(c_0,f(x,f(c_0,f(f(z,z),f(f(x,z),f(y,y))))))) = c_0 # label(false). [para(58942(a,1),43337(a,2)),rewrite([24613(6),24613(10),45033(12)])]. given #1746 (F,wt=23): 59424 f(x,f(c_0,f(y,f(c_0,f(f(y,z),f(f(y,f(x,x)),f(z,z))))))) = c_0 # label(false). [para(11(a,1),58943(a,1,1)),rewrite([24613(5)])]. given #1747 (F,wt=23): 59427 f(f(x,x),f(c_0,f(y,f(c_0,f(f(y,z),f(f(y,x),f(z,z))))))) = c_0 # label(false). [para(58943(a,1),24613(a,1)),rewrite([24613(5),24613(13)]),flip(a)]. given #1748 (F,wt=23): 59434 f(x,f(c_0,f(f(y,y),f(c_0,f(f(x,z),f(f(x,y),f(z,z))))))) = c_0 # label(false). [para(58943(a,1),43337(a,2)),rewrite([24613(4),24613(10)])]. given #1749 (T,wt=19): 50151 f(f(x,y),f(x,f(f(y,z),f(f(x,y),f(y,z))))) = x. [back_rewrite(32229),rewrite([50112(8)])]. given #1750 (T,wt=19): 50307 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(c_0,f(z,x)))))))) = c_0. [para(43337(a,1),50105(a,1,2,2,1,2,2)),rewrite([24613(10),24613(11),9899(12,R),24613(12),24613(13),45033(13),10913(15)])]. given #1751 (T,wt=19): 50653 f(x,f(c_0,f(y,f(z,f(c_0,f(u,f(y,x))))))) = f(y,x). [back_rewrite(32805),rewrite([50414(9)])]. given #1752 (T,wt=19): 50667 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(y,y)))) = c_0. [para(32519(a,1),33374(a,1,2,2)),rewrite([24613(7),24613(9)])]. given #1753 (A,wt=27): 26878 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(u,f(f(x,y),f(z,f(x,y))))))) = c_0. [para(12170(a,1),26569(a,1,1,2,2,2,2)),rewrite([24613(6),12170(16),24613(13)])]. given #1754 (F,wt=23): 59620 f(f(x,f(y,y)),f(x,f(x,f(c_0,f(f(x,z),f(y,f(x,z))))))) = x # label(false). [para(58145(a,1),59537(a,1,2,2,2)),rewrite([9899(13,R),24613(8),57546(9),24613(11),7716(12),24613(11)])]. given #1755 (F,wt=23): 59682 f(f(x,f(y,y)),f(c_0,f(f(y,f(x,f(z,x))),f(c_0,f(z,x))))) = c_0 # label(false). [para(47369(a,1),56286(a,1,2,1)),rewrite([24613(3),10791(5),24613(4),10791(6),9899(4,R),24613(4),24613(6),10791(8),24613(8),24613(12)])]. given #1756 (F,wt=23): 59688 f(x,f(c_0,f(y,f(x,f(z,f(x,f(x,f(z,f(x,f(y,x)))))))))) = c_0 # label(false). [para(58997(a,1),24613(a,1)),rewrite([24613(3),24613(12)]),flip(a)]. given #1757 (F,wt=23): 59695 f(f(x,f(x,f(y,f(z,x)))),f(c_0,f(f(z,x),f(x,f(y,y))))) = x # label(false). [para(11(a,1),59076(a,1,2,2,2,2)),rewrite([24613(8),24613(11)])]. given #1758 (T,wt=19): 50676 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,f(x,x)))) = c_0. [para(32799(a,1),33374(a,1,2,2)),rewrite([24613(9)])]. given #1759 (T,wt=19): 50678 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(x,x)))) = c_0. [para(32801(a,1),33374(a,1,2,2)),rewrite([24613(9)])]. given #1760 (T,wt=19): 50717 f(f(x,f(y,f(z,u))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(43337(a,1),33385(a,1,2,2))]. given #1761 (T,wt=19): 50752 f(f(x,f(x,f(y,z))),f(x,f(z,f(c_0,f(y,u))))) = x. [para(43337(a,1),33440(a,1,2,2)),rewrite([24613(5)])]. given #1762 (A,wt=43): 26881 f(f(x,f(y,f(y,f(x,f(x,z))))),f(f(x,z),f(u,f(x,f(y,f(y,f(x,f(x,z)))))))) = f(u,f(x,f(y,f(y,f(x,f(x,z)))))). [para(26569(a,1),26415(a,1,2,2,2)),rewrite([24613(11),24613(16),10913(16),24613(13),24613(20)])]. given #1763 (F,wt=23): 59729 f(f(x,f(f(y,x),f(x,z))),f(c_0,f(x,f(f(y,x),f(z,z))))) = c_0 # label(false). [para(59076(a,1),56616(a,1,2,2,1)),rewrite([9899(11,R),24613(7),10913(7),15153(13),24613(4),9899(14,R),24613(11),10791(12)])]. given #1764 (F,wt=23): 59734 f(f(x,y),f(c_0,f(f(y,z),f(y,f(y,f(f(x,y),f(z,z))))))) = y # label(false). [para(24613(a,1),59084(a,1,1)),rewrite([24613(4)])]. given #1765 (F,wt=23): 59739 f(f(x,y),f(x,f(f(x,z),f(x,f(x,f(f(x,y),f(z,z))))))) = x # label(false). [para(59084(a,1),37351(a,1,2,2)),rewrite([24613(9),59084(21)])]. given #1766 (F,wt=23): 59755 f(f(x,y),f(y,f(f(y,z),f(y,f(y,f(f(x,x),f(y,z))))))) = y # label(false). [para(59085(a,1),37351(a,1,2,2)),rewrite([24613(9),59085(21)])]. given #1767 (T,wt=19): 50753 f(f(x,f(y,z)),f(x,f(x,f(y,f(u,f(z,z)))))) = x. [para(43451(a,1),33440(a,1,2,2)),rewrite([24613(6),24613(8)])]. given #1768 (T,wt=19): 50960 f(f(x,f(y,f(z,z))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(43337(a,1),33467(a,1,2,2))]. given #1769 (T,wt=19): 50961 f(f(x,f(y,f(z,z))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(43337(a,2),33467(a,1,2,2)),rewrite([24613(5)])]. given #1770 (T,wt=19): 51127 f(f(x,y),f(x,f(y,y))) = f(c_0,f(x,f(y,f(x,y)))). [para(26178(a,1),25800(a,1,2,2,2,2,2,2)),rewrite([26178(7),24613(7),9849(7),24613(5),43465(8),26178(9),26178(12),24613(9),9849(9),24613(7)])]. given #1771 (A,wt=47): 26882 f(f(x,f(y,f(y,f(x,f(x,z))))),f(c_0,f(f(u,f(x,f(y,f(y,f(x,f(x,z)))))),f(f(x,z),f(u,f(x,f(y,f(y,f(x,f(x,z)))))))))) = c_0. [para(26569(a,1),26452(a,1,2,2,2,2,2)),rewrite([24613(12),24613(18),24613(23),10913(23),24613(20)])]. given #1772 (F,wt=23): 59767 f(f(x,f(x,f(f(y,y),f(x,z)))),f(x,f(f(y,x),f(x,z)))) = x # label(false). [para(44562(a,1),59085(a,1,2,2,2,2,2)),rewrite([9899(6,R),24613(6),9849(6),24613(4),24613(5),24613(12),53771(14)])]. given #1773 (F,wt=23): 60006 f(f(x,y),f(x,f(x,f(c_0,f(f(x,z),f(f(x,z),f(y,y))))))) = x # label(false). [para(59105(a,1),59537(a,1,2,2,2)),rewrite([9899(15,R),24613(9),57546(10),24613(11),7716(12),24613(11)])]. given #1774 (F,wt=23): 60016 f(f(x,f(y,f(z,z))),f(c_0,f(y,f(c_0,f(z,f(y,f(x,x))))))) = c_0 # label(false). [para(59270(a,1),43337(a,1)),rewrite([45033(13)]),flip(a)]. given #1775 (F,wt=23): 60017 f(f(x,f(y,y)),f(c_0,f(z,f(c_0,f(x,f(y,f(x,f(z,z)))))))) = c_0 # label(false). [para(59270(a,1),43337(a,2)),rewrite([24613(10)])]. given #1776 (T,wt=19): 51404 f(f(x,y),f(y,f(z,f(f(x,y),f(x,f(x,z)))))) = y. [para(39281(a,1),33573(a,1,2,2,1)),rewrite([24613(7),24613(11),47983(15),51335(8)])]. given #1777 (T,wt=19): 51422 f(x,f(f(y,y),f(x,f(y,y)))) = f(x,f(y,f(x,y))). [para(45439(a,1),33573(a,1,1)),rewrite([24613(13),45439(25),24613(21),18622(23),24613(8),51128(8),10913(7)]),flip(a)]. given #1778 (T,wt=19): 51492 f(f(x,f(x,y)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(24366(a,1),51174(a,1,1,2,2)),rewrite([24613(4),9849(4),24613(2),9899(5,R),24613(5),9899(9,R),24613(9),9899(12,R),24613(12),45033(13),10791(11)])]. given #1779 (T,wt=19): 51493 f(f(x,f(y,x)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(24746(a,1),51174(a,1,1,2,2)),rewrite([24613(4),9849(4),24613(2),9899(5,R),24613(5),9899(9,R),24613(9),9899(12,R),24613(12),45033(13),32517(13)])]. given #1780 (A,wt=47): 26883 f(f(f(x,y),f(z,f(x,f(u,f(u,f(x,f(x,y))))))),f(c_0,f(f(x,f(u,f(u,f(x,f(x,y))))),f(z,f(x,f(u,f(u,f(x,f(x,y))))))))) = c_0. [para(26569(a,1),26456(a,1,2,2,2)),rewrite([24613(12),24613(20),24613(25),10913(25),24613(22),24613(23)])]. given #1781 (F,wt=19): 61357 f(c_0,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(52514(a,1),51422(a,2,2,2)),rewrite([9899(16,R),24613(12),27357(12),9899(25,R),24613(21),27357(21),43343(19),41403(16),18622(16),24613(7),10913(7),24613(15),27357(15),43343(13),41403(10)]),flip(a)]. given #1782 (F,wt=19): 61720 f(f(x,y),f(x,z)) = f(c_0,f(x,f(f(x,y),f(z,z)))) # label(false). [para(11(a,1),61357(a,1,2,1)),rewrite([24613(2),24613(7),24613(8),24613(10),543(10),24613(8)]),flip(a)]. given #1783 (F,wt=19): 61721 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(z,z))) # label(false). [para(11(a,1),61357(a,1,2,2,2)),rewrite([24613(8)])]. given #1784 (F,wt=19): 61722 f(f(x,y),f(y,z)) = f(c_0,f(y,f(f(x,y),f(z,z)))) # label(false). [para(11(a,1),61357(a,2,2,2)),rewrite([11(4),24613(8)]),flip(a)]. given #1785 (T,wt=17): 62423 f(f(c_0,f(x,y)),f(f(x,z),f(y,y))) = f(x,y). [para(61720(a,1),25835(a,1,1)),rewrite([38952(12),15203(11),44912(22),24613(7)])]. given #1786 (T,wt=17): 62539 f(c_0,f(x,f(f(y,z),f(x,z)))) = f(c_0,f(x,z)). [para(61721(a,1),25566(a,1,2,2,2,2,1)),rewrite([9899(3,R),24613(3),24613(6),9899(9,R),24613(9),9899(12,R),24613(12),11(20),9899(21,R),24613(21),9899(24,R),24613(24),50414(26),61899(27),26396(25),10913(21),24613(18),47696(18),12170(10),24613(6),61899(6),24613(4),9899(9,R),24613(9)])]. given #1787 (T,wt=19): 51570 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(c_0,f(x,u))))) = c_0. [back_rewrite(45830),rewrite([51492(10)])]. given #1788 (T,wt=19): 51571 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(c_0,f(x,u))))) = c_0. [back_rewrite(45824),rewrite([51492(10)])]. given #1789 (A,wt=27): 26890 f(f(c_0,f(x,y)),f(f(z,f(z,f(u,f(x,y)))),f(f(x,y),f(u,f(x,y))))) = c_0. [para(12170(a,1),26578(a,1,1,2)),rewrite([12170(11),24613(7),24613(10),24613(12)])]. given #1790 (F,wt=19): 61723 f(f(x,y),f(x,f(z,z))) = f(c_0,f(x,f(z,f(x,y)))) # label(false). [para(61357(a,1),10791(a,1,2)),rewrite([30736(5)]),flip(a)]. given #1791 (F,wt=19): 61724 f(x,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(61357(a,2),10791(a,1,2,2)),rewrite([10913(8)])]. ============================== PROOF ================================= % Proof 1 at 698.27 (+ 1.84) seconds: MOD_SS. % Length of proof is 539. % Level of proof is 71. % Maximum clause weight is 59.000. % Given clauses 1791. 1 f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # answer(MOD_SS) # label(non_clause) # label(goal). [goal]. 2 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]. 3 f(c1,f(c3,f(c1,f(c2,c2)))) != f(c1,f(c2,f(c1,f(c3,c3)))) # answer(MOD_SS). [deny(1)]. 4 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,w)))) = y. [para(2(a,1),2(a,1,2,1))]. 5 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)),w),f(f(f(f(x,w),w),f(z,x)),f(f(z,x),v5)))) = f(z,x). [para(2(a,1),2(a,1,2,2,1,1,1,1))]. 7 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(2(a,1),2(a,1,2,2,2))]. 8 f(f(x,y),f(f(f(y,y),z),y)) = y. [para(4(a,1),2(a,1,2,2))]. 11 f(f(x,y),f(y,y)) = y. [para(4(a,1),4(a,1,2,2))]. 12 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(11(a,1),2(a,1,1)),rewrite([11(3)])]. 13 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(11(a,1),2(a,1,2,1,1))]. 14 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(11(a,1),2(a,1,2,1))]. 16 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(11(a,1),2(a,1,2,2,1,1,1))]. 20 f(f(x,f(y,y)),y) = f(y,y). [para(11(a,1),11(a,1,2))]. 22 f(f(x,y),f(y,f(f(y,y),f(y,z)))) = y. [back_rewrite(14),rewrite([20(7)])]. 25 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(20(a,1),2(a,1,2,2,1,1,1))]. 32 f(f(f(x,x),y),x) = f(x,x). [para(8(a,1),11(a,1,1)),rewrite([8(7)]),flip(a)]. 36 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(32(a,1),2(a,1,2,2,1,1,1,1))]. 37 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))) = x. [para(32(a,1),2(a,1,2,2,1,1))]. 40 f(f(x,y),f(x,x)) = x. [para(11(a,1),32(a,1,1,1)),rewrite([11(6)])]. 41 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)),w),f(f(f(f(x,w),w),f(z,x)),x))) = f(z,x). [para(2(a,1),5(a,1,2,2,2))]. 50 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(32(a,1),5(a,1,1)),rewrite([40(3),40(3)])]. 53 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(40(a,1),2(a,1,2,2,1,1))]. 54 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(40(a,1),2(a,1,2,2,2))]. 55 f(x,f(f(y,x),f(y,x))) = f(y,x). [para(2(a,1),40(a,1,1))]. 61 f(x,f(f(x,y),f(x,y))) = f(x,y). [para(40(a,1),40(a,1,1))]. 63 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(55(a,1),2(a,1,2,1))]. 64 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(55(a,1),2(a,1,2,2,1,1,1,1))]. 66 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(55(a,1),2(a,1,2,2,2))]. 82 f(f(x,f(f(x,x),f(x,y))),f(x,f(f(x,x),f(x,y)))) = x. [para(22(a,1),32(a,1)),flip(a)]. 85 f(f(x,y),f(y,f(f(y,y),f(z,y)))) = y. [para(55(a,1),22(a,1,2,2,2))]. 102 f(x,f(f(x,x),f(x,f(y,f(x,x))))) = f(x,x). [para(11(a,1),85(a,1,1)),rewrite([40(4)])]. 126 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,w),u),u),y),f(y,v5)))))) = y. [para(2(a,1),7(a,1,1,2)),rewrite([2(12),2(12),2(14),2(17),2(30)])]. 127 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) # label(false). [para(11(a,1),7(a,1,2,2,1,1,1,1))]. 137 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(40(a,1),7(a,1,2,2,1,1))]. 154 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(127(a,1),20(a,1,1)),flip(a)]. 157 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(40(a,1),127(a,1,2,2,1,1))]. 161 f(f(f(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)). [para(127(a,1),102(a,1,2,2,2)),rewrite([154(19),32(24),40(21),32(9),154(18)]),flip(a)]. 165 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(154),rewrite([161(22)])]. 174 f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(x,x)) = x. [para(37(a,1),55(a,1,2,1)),rewrite([37(16),37(18)])]. 175 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))) = x. [para(55(a,1),37(a,1,2,2,2))]. 182 f(x,f(f(x,x),f(x,y))) = f(x,x). [para(82(a,1),11(a,1,1)),rewrite([82(9)]),flip(a)]. 193 f(f(x,x),f(x,f(f(x,x),y))) = x. [para(11(a,1),182(a,1,2,1)),rewrite([40(8)])]. 196 f(x,f(f(x,x),f(y,x))) = f(x,x). [para(55(a,1),182(a,1,2,2))]. 205 f(f(x,x),f(x,f(y,f(x,x)))) = x. [para(55(a,1),193(a,1,2,2))]. 234 f(f(f(f(x,x),x),f(f(x,x),x)),x) = f(f(x,x),x). [para(127(a,1),205(a,1,2,2)),rewrite([165(13),32(14),40(11)]),flip(a)]. 246 f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(x,x)) = x. [para(55(a,1),174(a,1,1,2,2))]. 255 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(55(a,1),12(a,1,2,2,2))]. 270 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x))))) = f(x,x). [para(11(a,1),175(a,1,1)),rewrite([40(3),40(5)])]. 294 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(55(a,1),13(a,1,2,2,2))]. 302 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),x) = f(x,x). [para(11(a,1),246(a,1,1,1,1)),rewrite([40(5),40(11)])]. 358 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(55(a,1),16(a,1,2,2,2))]. 364 f(x,f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(246(a,1),16(a,1,2,2,1)),rewrite([11(4),40(3),55(6)])]. 387 f(f(f(f(x,x),x),f(x,f(f(x,x),y))),x) = f(x,x). [para(364(a,1),55(a,1,2,1)),rewrite([364(14),40(9),364(14)])]. 414 f(f(f(f(x,x),x),f(x,f(y,f(x,x)))),x) = f(x,x). [para(55(a,1),387(a,1,1,2,2))]. 459 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))),f(x,x)) = x. [para(25(a,1),55(a,1,2,1)),rewrite([25(19),25(21)])]. 529 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(x,x)))) = f(f(x,x),y) # label(false). [para(32(a,1),36(a,1,2,2,2))]. 534 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(234(a,1),36(a,1,2,1)),rewrite([32(8)])]. 535 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)),x))) = f(x,y) # label(false). [para(11(a,1),529(a,1,1,2,1)),rewrite([40(6),40(7),40(10),40(12),40(14),40(17)])]. 543 f(f(x,x),f(x,y)) = x. [para(387(a,1),529(a,1,2,2)),rewrite([40(4),182(4),40(5),40(8),40(13),20(11),40(3),40(4)]),flip(a)]. 544 f(f(x,x),f(y,x)) = x. [para(414(a,1),529(a,1,2,2)),rewrite([543(4),196(4),543(5),543(8),543(13),20(11),543(3),543(4)]),flip(a)]. 546 f(x,f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(535),rewrite([543(3)])]. 555 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(534),rewrite([544(9)])]. 568 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x))))) = f(x,x). [back_rewrite(255),rewrite([544(4)])]. 573 f(x,f(f(f(f(y,x),f(y,x)),f(x,x)),f(f(x,f(y,x)),x))) = f(y,x). [back_rewrite(157),rewrite([544(3)])]. 576 f(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) # label(false). [back_rewrite(127),rewrite([544(3)])]. 579 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))) = y # label(false). [para(2(a,1),546(a,1,2,1,1,1)),rewrite([2(12),2(17),2(22)])]. 582 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(x,f(y,y)),z),z),f(y,y)),f(x,f(y,y))))) = f(y,y) # label(false). [para(20(a,1),546(a,1,2,1,1,1)),rewrite([20(6),543(5),20(10),20(17)])]. 587 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))) = x # label(false). [para(40(a,1),546(a,1,2,1,1,1)),rewrite([40(4),40(9),40(14)])]. 589 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(40(a,1),546(a,1,2,2,1,1))]. 599 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(13(a,1),546(a,1,2,2,1)),rewrite([40(6),40(17),543(29),20(27),40(3),40(5)]),flip(a)]. 604 f(x,f(f(x,x),y)) = f(x,x). [para(387(a,1),546(a,1,2,2)),rewrite([11(10)]),flip(a)]. 607 f(x,f(y,f(x,x))) = f(x,x). [para(414(a,1),546(a,1,2,2)),rewrite([11(10)]),flip(a)]. 609 f(f(x,x),f(f(f(x,x),x),f(x,f(f(f(x,x),x),y)))) = f(f(x,x),x). [back_rewrite(555),rewrite([604(3)])]. 635 f(f(x,y),f(f(f(y,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))) = y # label(false). [para(579(a,1),579(a,1,2,2,1,1,1))]. 640 f(f(x,y),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,y)))) = x. [para(11(a,1),587(a,1,2,2,1,1,1))]. 655 f(f(x,y),f(f(f(x,x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))) = x # label(false). [para(587(a,1),587(a,1,2,2,1,1,1))]. 656 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,z)),f(y,z)),y),f(y,u)))) = y. [para(543(a,1),2(a,1,2,1))]. 657 f(f(f(x,y),f(x,y)),y) = f(x,y). [para(2(a,1),543(a,1,2))]. 662 f(f(f(x,y),f(x,y)),x) = f(x,y). [para(40(a,1),543(a,1,2))]. 679 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(y,u)))) = y. [back_rewrite(64),rewrite([657(4)])]. 753 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(2(a,1),657(a,1,1,1)),rewrite([2(11),2(22)])]. 762 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(16(a,1),657(a,1,1,1)),rewrite([16(11),16(22)])]. 764 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x))) = f(x,y). [para(657(a,1),546(a,1,2,1))]. 767 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(z,x)))) = x. [para(579(a,1),657(a,1,1,1)),rewrite([579(11),579(22)])]. 768 f(x,f(f(y,x),f(f(f(f(x,x),x),f(y,x)),x))) = f(y,x). [para(657(a,1),576(a,1,2,1))]. 771 f(f(x,y),f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(x,y)))),y),f(x,y)))) = y # label(false). [para(657(a,1),635(a,1,1)),rewrite([657(8),657(12),767(12),657(7),657(11),657(16)])]. 774 f(f(x,y),f(x,f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(x,y)))),x),f(x,y)))) = x # label(false). [para(655(a,1),657(a,2)),rewrite([753(12),753(28),753(44),657(48)])]. 783 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(z,x),f(f(f(f(x,z),z),f(z,x)),f(f(z,x),w)))) = f(z,x). [para(662(a,1),5(a,1,2,1))]. 825 f(x,f(f(x,y),f(f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y)),x))) = f(x,y) # label(false). [para(543(a,1),771(a,1,1)),rewrite([543(9),543(13),543(18)])]. 846 f(f(f(f(x,y),f(f(f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y)),x)),x),f(f(f(x,x),u),f(f(f(f(f(x,y),u),u),x),f(x,w)))) = x. [para(825(a,1),2(a,1,2,2,1,1,1,1))]. 1005 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(55(a,1),66(a,1,2,2,1,1,1,1)),rewrite([657(4)])]. 1008 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(61(a,1),66(a,1,2,2,1,1,1,1)),rewrite([662(4)])]. 1018 f(f(f(x,x),y),f(f(f(f(f(x,f(x,x)),y),y),x),f(z,x))) = f(x,x). [para(66(a,1),546(a,1,2,2,1)),rewrite([32(7),32(17),604(27),11(26),32(3),32(6)]),flip(a)]. 1156 f(f(f(f(f(f(x,y),f(x,y)),f(y,y)),f(f(y,f(x,y)),y)),y),f(f(f(y,y),f(f(x,y),f(x,y))),f(f(f(x,y),y),f(y,z)))) = y. [para(573(a,1),53(a,1,2,1,2,1)),rewrite([573(22),573(25)])]. 1181 f(f(f(x,f(f(f(x,f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,z)))),x),f(x,z))),f(x,z)),f(f(f(f(x,z),f(x,z)),u),f(f(f(f(x,u),u),f(x,z)),x))) = f(x,z). [para(774(a,1),54(a,1,2,2,1,1,1,1))]. 1212 f(x,f(f(f(f(f(x,f(x,x)),f(x,y)),f(x,y)),x),f(x,z))) = f(x,x). [para(543(a,1),599(a,1,1)),rewrite([543(3),543(9),543(10)])]. 1213 f(x,f(f(f(f(f(x,f(x,x)),f(y,x)),f(y,x)),x),f(x,z))) = f(x,x). [para(544(a,1),599(a,1,1)),rewrite([543(3),543(9),543(10)])]. 1278 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,y))),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(640(a,1),54(a,1,2,2,1,1,1,1))]. 1279 f(f(x,f(y,z)),f(f(y,z),f(f(f(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(y,z),x)))),f(y,z)),y))) = f(y,z). [para(640(a,1),54(a,1,2,2,1,1,1)),rewrite([762(19)])]. 1294 f(f(f(x,f(f(f(f(f(x,y),f(x,y)),f(x,y)),x),f(x,y))),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(61(a,1),1278(a,1,1,1,2,2)),rewrite([543(8),543(3),543(10),61(13),61(15),61(16),61(21),61(26)])]. 1330 f(f(x,y),f(f(f(f(y,x),f(y,z)),f(y,z)),y)) = y. [para(607(a,1),656(a,1,2,2)),rewrite([55(15)])]. 1360 f(f(x,f(y,z)),f(f(f(f(f(y,z),x),z),z),f(y,z))) = f(y,z). [para(2(a,1),1330(a,1,2,1,1,2)),rewrite([2(16)])]. 1362 f(x,f(f(f(x,f(f(y,x),z)),f(f(y,x),z)),f(y,x))) = f(y,x). [para(11(a,1),1330(a,1,2,1,1,1)),rewrite([544(3)])]. 1366 f(x,f(f(f(x,f(f(x,y),z)),f(f(x,y),z)),f(x,y))) = f(x,y). [para(40(a,1),1330(a,1,2,1,1,1)),rewrite([543(3)])]. 1367 f(f(x,f(y,z)),f(f(f(f(f(y,z),x),y),y),f(y,z))) = f(y,z). [para(40(a,1),1330(a,1,2,1,1,2)),rewrite([40(8)])]. 1368 f(f(x,y),f(f(f(f(x,y),f(y,z)),f(y,z)),y)) = y. [para(55(a,1),1330(a,1,2,1,1,1)),rewrite([657(4)])]. 1369 f(f(x,y),f(f(f(f(y,x),f(z,y)),f(z,y)),y)) = y. [para(55(a,1),1330(a,1,2,1,1,2)),rewrite([55(8)])]. 1370 f(f(x,y),f(f(f(f(x,y),f(x,z)),f(x,z)),x)) = x. [para(61(a,1),1330(a,1,2,1,1,1)),rewrite([662(4)])]. 1378 f(f(f(f(x,f(x,x)),f(x,y)),f(x,y)),x) = f(x,x). [para(1330(a,1),25(a,1,2,2,1)),rewrite([544(9),657(16),1212(18)]),flip(a)]. 1383 f(x,f(f(f(x,x),x),f(x,y))) = f(x,y). [para(582(a,1),1330(a,1,2,1,1)),rewrite([543(3),40(5),40(9),20(7),40(4)])]. 1388 f(f(x,y),f(f(y,f(y,f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,x)))),y),f(y,x)))),y)) = y # label(false). [para(774(a,1),1330(a,1,2,1,1))]. 1427 f(x,f(f(f(x,x),x),f(y,x))) = f(y,x). [para(55(a,1),1383(a,1,2,2)),rewrite([55(9)])]. 1455 f(f(x,x),f(f(f(x,x),x),f(x,y))) = f(f(x,x),x). [para(1383(a,1),609(a,1,2,2))]. 1464 f(f(x,x),f(f(x,f(x,x)),f(y,f(x,x)))) = f(y,f(x,x)). [para(11(a,1),1427(a,1,2,1,1))]. 1613 f(f(x,f(y,z)),f(f(f(f(x,f(y,z)),y),y),f(y,z))) = f(y,z). [para(40(a,1),1368(a,1,2,1,1,2)),rewrite([40(8)])]. 1614 f(f(x,y),f(f(f(f(x,y),f(z,y)),f(z,y)),y)) = y. [para(55(a,1),1368(a,1,2,1,1,2)),rewrite([55(8)])]. 1646 f(x,f(f(f(x,f(y,f(z,x))),f(y,f(z,x))),f(z,x))) = f(z,x). [para(11(a,1),1369(a,1,2,1,1,1)),rewrite([544(3)])]. 1648 f(x,f(f(f(x,f(y,f(x,z))),f(y,f(x,z))),f(x,z))) = f(x,z). [para(40(a,1),1369(a,1,2,1,1,1)),rewrite([543(3)])]. 1649 f(f(x,y),f(f(f(f(x,y),f(z,x)),f(z,x)),x)) = x. [para(61(a,1),1369(a,1,2,1,1,1)),rewrite([662(4)])]. 1655 f(f(f(f(x,f(x,x)),f(y,x)),f(y,x)),x) = f(x,x). [para(1369(a,1),25(a,1,2,2,1)),rewrite([544(9),657(16),1213(18)]),flip(a)]. 1708 f(f(f(x,y),z),f(f(f(f(f(x,y),z),y),y),f(x,y))) = f(x,y). [para(2(a,1),1370(a,1,2,1,1,2)),rewrite([2(16)])]. 1745 f(x,f(f(f(x,f(x,x)),f(x,y)),f(x,y))) = f(x,x). [para(1378(a,1),662(a,1,1,1)),rewrite([1378(8),543(3),1378(14)])]. 1831 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),y)) = f(f(f(x,y),f(x,y)),f(x,y)). [para(2(a,1),1455(a,1,2,2))]. 1832 f(x,f(f(x,f(x,x)),f(f(x,x),y))) = f(x,f(x,x)). [para(11(a,1),1455(a,1,1)),rewrite([543(3),543(9)])]. 1836 f(f(x,x),f(f(f(x,x),x),f(y,x))) = f(f(x,x),x). [para(55(a,1),1455(a,1,2,2))]. 1885 f(f(f(f(x,f(x,x)),f(y,f(x,x))),f(y,f(x,x))),f(x,x)) = x. [para(1614(a,1),640(a,1,2,2,1)),rewrite([20(11),657(24),20(23),543(14),20(12),543(3)]),flip(a)]. 1897 f(f(x,y),f(f(y,f(f(f(f(x,y),f(z,y)),f(z,y)),y)),y)) = y. [para(1614(a,1),1614(a,1,2,1,1))]. 2012 f(x,f(f(f(x,f(x,x)),f(y,x)),f(y,x))) = f(x,x). [para(1655(a,1),662(a,1,1,1)),rewrite([1655(8),543(3),1655(14)])]. 2026 f(x,f(f(x,f(x,x)),f(y,f(x,x)))) = f(x,f(x,x)). [para(55(a,1),1832(a,1,2,2))]. 2041 f(f(x,x),f(f(f(f(y,f(x,x)),f(y,f(x,x))),f(f(f(x,x),x),f(z,x))),f(f(f(f(f(x,x),x),f(f(f(x,x),x),f(z,x))),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [para(1836(a,1),576(a,1,2,2,1,1,1))]. 2158 f(x,f(f(x,f(x,x)),f(f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),f(x,f(x,x))),x))) = f(x,f(x,x)). [para(2026(a,1),764(a,1,2,1)),rewrite([2026(8),2026(16),2026(22)])]. 2257 f(x,f(f(f(x,y),y),f(x,y))) = f(x,y). [para(40(a,1),1360(a,1,2,1,1,1)),rewrite([543(3)])]. 2473 f(f(x,x),f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(f(x,x),x))) = f(f(x,x),x). [para(1836(a,1),2257(a,1,2,1,1)),rewrite([1836(14),1836(18)])]. 2482 f(x,f(f(f(x,y),f(f(f(x,y),y),f(x,y))),f(x,y))) = f(x,y). [para(2257(a,1),2257(a,1,2,1,1)),rewrite([2257(11),2257(14)])]. 2487 f(x,f(f(f(x,y),y),f(y,x))) = f(y,x). [para(40(a,1),1362(a,1,2,1,1,2)),rewrite([40(4)])]. 2546 f(f(x,x),x) = f(x,f(x,x)). [para(32(a,1),2487(a,1,2,1)),rewrite([543(5)])]. 2548 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x)))) = x. [para(2487(a,1),37(a,1,2,2,2)),rewrite([2546(3),2546(5)])]. 2550 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,x)) = x. [para(2487(a,1),174(a,1,1,2,2)),rewrite([2546(2),2546(4)])]. 2575 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),x))) = f(y,x). [para(768(a,1),2487(a,1,2,2)),rewrite([2546(3),2546(10),1708(19),2546(4)]),flip(a)]. 2581 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))),f(x,x)) = x. [para(2487(a,1),459(a,1,1,2,2)),rewrite([2546(4)])]. 2582 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))),f(x,x)) = x. [para(459(a,1),2487(a,1,2,2)),rewrite([2546(6),2546(15),544(22),2546(4)]),flip(a)]. 2610 f(f(f(x,f(f(f(f(x,y),f(f(x,y),f(x,y))),x),f(x,y))),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [para(1294(a,1),2487(a,2)),rewrite([2546(25),2546(37),2546(49),2487(68)])]. 2615 f(x,f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(2487(a,1),1383(a,1,2,2)),rewrite([2546(2),2487(10)])]. 2617 f(x,f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(1383(a,1),2487(a,1,2,2)),rewrite([2546(2),2546(6),1613(13),2546(3)]),flip(a)]. 2629 f(f(x,x),f(f(x,f(x,x)),f(y,x))) = f(x,f(x,x)). [para(2487(a,1),1455(a,1,2,2)),rewrite([2546(3),2546(8)])]. 2631 f(f(x,x),f(f(x,f(x,x)),f(x,y))) = f(x,f(x,x)). [para(1455(a,1),2487(a,1,2,2)),rewrite([2546(2),2546(6),2546(14),1708(16),2546(5)]),flip(a)]. 2648 f(x,f(f(f(y,x),f(f(f(x,y),y),f(y,x))),f(y,x))) = f(y,x). [para(2487(a,1),2257(a,1,2,1,1)),rewrite([2487(11),2487(14)])]. 2664 f(f(x,x),f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(2473),rewrite([2546(3),2546(5),2546(10),2546(14)])]. 2785 f(f(x,x),f(f(f(f(y,f(x,x)),f(y,f(x,x))),f(f(x,f(x,x)),f(z,x))),f(f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(z,x))),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [back_rewrite(2041),rewrite([2546(8),2546(13),2546(15)])]. 2834 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))). [back_rewrite(1831),rewrite([2546(8),2546(15)])]. 3130 f(f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),f(x,f(x,x))),x) = f(x,f(x,x)). [back_rewrite(2158),rewrite([2615(16)])]. 3145 f(f(f(x,f(f(f(f(x,y),f(f(x,y),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(2546(a,1),41(a,1,1,1,2,1,1)),rewrite([543(3)])]. 3170 f(f(x,y),f(f(f(y,x),f(f(y,x),f(y,x))),y)) = y. [para(2546(a,1),1330(a,1,2,1))]. 3660 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))))) = f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))). [para(270(a,1),3170(a,1,1)),rewrite([302(10),302(11),302(12),543(5),2546(3)])]. 3837 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))))) = f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))). [para(2548(a,1),3170(a,1,1)),rewrite([2550(9),2550(9),2550(9)])]. 4530 f(x,f(f(f(x,x),f(f(f(x,f(x,x)),f(y,x)),f(y,x))),f(y,x))) = f(y,x). [para(2012(a,1),1646(a,1,2,1,1))]. 4566 f(x,f(f(f(x,x),f(f(f(x,f(x,x)),f(x,y)),f(x,y))),f(x,y))) = f(x,y). [para(1745(a,1),1648(a,1,2,1,1))]. 4650 f(f(x,y),f(f(f(f(x,y),f(f(f(x,x),f(z,z)),f(f(f(z,f(z,z)),x),f(u,x)))),f(f(f(x,x),f(z,z)),f(f(f(z,f(z,z)),x),f(u,x)))),x)) = x. [para(358(a,1),1708(a,1,1,1)),rewrite([358(12),358(33),358(35)])]. 5400 f(f(f(x,x),y),f(f(x,f(x,x)),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))))) = f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))). [para(2581(a,1),1366(a,1,2,1,1,2)),rewrite([32(5),2581(13),2546(4)])]. 5408 f(f(f(x,x),y),f(f(x,f(x,x)),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))))) = f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))). [para(2582(a,1),1366(a,1,2,1,1,2)),rewrite([32(5),2582(13),2546(4)])]. 6230 f(f(f(f(x,f(x,x)),f(x,y)),f(x,y)),f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),f(f(x,y),z)))) = f(x,y). [para(1378(a,1),679(a,1,2,2,1,1,1)),rewrite([662(10),2546(9)])]. 7510 f(f(f(f(f(x,f(x,x)),y),y),x),f(f(f(f(x,f(x,x)),y),y),x)) = x. [para(1018(a,1),20(a,1,1)),rewrite([544(7)]),flip(a)]. 7557 f(f(f(f(x,f(x,x)),y),y),x) = f(x,x). [para(1018(a,1),1885(a,1,1,1,2)),rewrite([7510(16),11(8),7510(13),32(3),7510(13),20(3)]),flip(a)]. 7559 f(f(f(f(x,f(x,x)),y),y),f(x,x)) = x. [para(11(a,1),7557(a,1,1,1,1,2)),rewrite([2546(2),543(9)])]. 7648 f(f(x,x),f(f(f(x,f(x,x)),y),y)) = x. [para(7559(a,1),662(a,1,1,1)),rewrite([7559(6),7559(12)])]. 7663 f(x,f(f(f(x,y),y),f(f(f(x,f(x,x)),y),y))) = f(f(f(x,f(x,x)),y),y). [para(7559(a,1),1360(a,1,2,1,1,1)),rewrite([7648(6)])]. 7716 f(x,f(x,f(x,y))) = f(x,y). [back_rewrite(4566),rewrite([7648(8)])]. 7717 f(x,f(x,f(y,x))) = f(y,x). [back_rewrite(4530),rewrite([7648(8)])]. 7727 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))) = f(y,x). [back_rewrite(3837),rewrite([7716(10),2615(5)]),flip(a)]. 7728 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))) = f(y,f(x,x)). [back_rewrite(3660),rewrite([7716(12),1464(7)]),flip(a)]. 7758 f(f(x,x),f(f(f(f(y,f(x,x)),f(y,f(x,x))),f(f(x,f(x,x)),f(z,x))),f(f(f(z,x),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [back_rewrite(2785),rewrite([7727(18)])]. 7763 f(f(x,x),f(f(y,x),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(2664),rewrite([7727(8)])]. 7772 f(f(f(x,f(y,y)),f(y,f(y,y))),y) = f(y,f(y,y)). [back_rewrite(3130),rewrite([7728(8)])]. 7848 f(f(x,y),f(f(x,y),y)) = y. [para(2(a,1),7716(a,1,2,2)),rewrite([2(15)])]. 7850 f(f(x,y),f(f(x,y),x)) = x. [para(40(a,1),7716(a,1,2,2)),rewrite([40(7)])]. 7880 f(x,f(f(x,y),f(f(f(f(x,y),f(x,f(x,y))),f(x,x)),f(z,f(x,x))))) = f(x,x). [para(7716(a,1),568(a,1,2,1)),rewrite([7716(4)])]. 7881 f(x,f(f(f(f(x,f(x,y)),f(x,f(x,y))),f(x,x)),f(f(x,y),x))) = f(x,f(x,y)). [para(7716(a,1),589(a,1,2,2,1))]. 8049 f(x,f(f(f(f(x,f(y,x)),f(x,f(y,x))),f(x,x)),f(f(y,x),x))) = f(x,f(y,x)). [para(7717(a,1),589(a,1,2,2,1))]. 8184 f(x,f(x,f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))))) = f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))). [para(2(a,1),7848(a,1,1)),rewrite([2(11)])]. 8196 f(f(x,y),f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x)))) = f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x)). [para(546(a,1),7848(a,1,1)),rewrite([546(12)])]. 8223 f(f(x,y),f(f(x,y),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(x,y),u),z),z),f(x,y)),x)))) = f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(x,y),u),z),z),f(x,y)),x)). [para(54(a,1),7848(a,1,1)),rewrite([54(16)])]. 8239 f(f(x,y),f(f(y,f(f(x,y),y)),y)) = y. [para(7848(a,1),1614(a,1,2,1,1))]. 8363 f(f(x,y),f(f(y,f(f(y,x),y)),y)) = y. [para(7850(a,1),1369(a,1,2,1,1))]. 8366 f(f(x,y),f(f(x,f(f(x,y),x)),x)) = x. [para(7850(a,1),1649(a,1,2,1,1))]. 8448 f(f(f(x,f(x,x)),y),y) = f(x,f(x,x)). [para(7557(a,1),7850(a,1,1)),rewrite([7557(6),7648(7),2546(2)]),flip(a)]. 8457 f(x,f(f(f(x,y),y),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(7663),rewrite([8448(6),8448(10)])]. 8479 f(f(x,f(x,x)),f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),f(f(x,y),z)))) = f(x,y). [back_rewrite(6230),rewrite([8448(6)])]. 8653 f(f(x,y),f(y,f(f(f(y,f(f(y,f(f(x,y),y)),y)),f(f(x,y),f(x,y))),f(z,f(f(x,y),f(x,y)))))) = f(f(x,y),f(x,y)). [para(8239(a,1),568(a,1,2,1)),rewrite([8239(7)])]. 8676 f(f(f(f(x,f(f(y,x),x)),x),f(y,x)),f(f(f(x,y),y),f(y,x))) = f(y,x). [para(8239(a,1),1367(a,1,2,1,1,1))]. 8754 f(f(f(f(f(f(x,y),f(x,y)),f(y,y)),f(f(y,f(x,y)),y)),y),f(f(y,f(f(x,y),y)),y)) = y. [para(573(a,1),8363(a,1,2,1,2,1))]. 8755 f(f(f(f(f(f(x,y),f(x,y)),f(x,x)),f(f(x,f(x,y)),x)),x),f(f(x,f(f(x,y),x)),x)) = x. [para(589(a,1),8363(a,1,2,1,2,1))]. 8989 f(f(f(f(x,f(f(x,y),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(8366(a,1),137(a,1,2,1,2,1)),rewrite([8366(15),8366(17)])]. 9009 f(f(x,f(x,x)),f(y,y)) = y. [para(8448(a,1),11(a,1,1))]. 9011 f(x,f(f(y,f(y,y)),f(y,f(y,y)))) = f(y,f(y,y)). [para(8448(a,1),55(a,1,2,1)),rewrite([8448(6),8448(10)])]. 9013 f(f(f(x,f(x,x)),y),f(f(f(x,f(x,x)),y),f(f(x,f(x,x)),y))) = f(x,f(x,x)). [para(61(a,1),8448(a,1,1))]. 9022 f(f(x,x),f(y,f(y,y))) = x. [para(8448(a,1),544(a,1,2))]. 9024 f(x,f(y,f(y,y))) = f(x,x). [para(8448(a,1),607(a,1,2))]. 9028 f(f(f(x,f(x,x)),f(x,f(x,x))),y) = f(x,f(x,x)). [para(8448(a,1),657(a,1,1,1)),rewrite([8448(6),8448(10)])]. 9029 f(f(f(f(x,y),y),f(x,f(x,x))),x) = f(x,f(x,x)). [para(8448(a,1),41(a,1,1,1,2,1,1)),rewrite([20(5),543(5),32(3),2546(3),543(4),2546(2),2546(4),9028(6),2546(6),2615(10),2546(8)])]. 9040 f(f(f(x,f(x,x)),y),f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(f(f(x,f(x,x)),y),f(f(x,f(x,x)),y)),z)))) = f(f(f(x,f(x,x)),y),f(f(x,f(x,x)),y)). [para(8448(a,1),50(a,1,2,1)),rewrite([8448(9),9013(16)])]. 9044 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(u,f(u,u))))) = y. [para(8448(a,1),66(a,1,2,2,2))]. 9066 f(f(x,f(x,x)),f(f(x,f(x,x)),y)) = y. [para(8448(a,1),1368(a,1,1)),rewrite([8448(6),8448(8)])]. 9067 f(f(x,f(x,x)),f(f(f(f(y,f(f(x,f(x,x)),y)),f(z,y)),f(z,y)),y)) = y. [para(8448(a,1),1369(a,1,1))]. 9071 f(x,f(x,f(y,f(y,y)))) = f(y,f(y,y)). [para(8448(a,1),1370(a,1,2,1,1)),rewrite([9066(6),9066(6)])]. 9075 f(f(x,y),f(f(z,f(z,z)),y)) = y. [para(8448(a,1),63(a,1,2,1)),rewrite([9009(8),9009(10),9011(10),9009(9),9009(11),9071(11),20(6),543(6)])]. 9086 f(x,f(x,x)) = f(y,f(y,y)). [para(8448(a,1),1464(a,2)),rewrite([9009(7),55(7)])]. 9102 f(x,f(f(y,f(y,y)),f(f(f(x,f(x,x)),f(y,f(y,y))),x))) = f(y,f(y,y)). [para(8448(a,1),2575(a,1,2,1)),rewrite([8448(8),8448(14)])]. 9145 f(f(x,f(x,x)),f(f(f(y,y),z),f(f(f(f(f(y,f(f(x,f(x,x)),y)),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,w),u),u),y),f(y,v5)))))) = y. [para(8448(a,1),126(a,1,1))]. 9156 f(f(x,f(x,x)),f(f(f(y,y),z),f(f(f(x,f(x,x)),y),f(y,u)))) = y. [para(8448(a,1),679(a,1,1)),rewrite([8448(8),8448(8)])]. 9172 f(x,f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(f(z,f(z,z)),x)),f(z,f(z,z))))) = f(f(z,f(z,z)),x). [para(8448(a,1),762(a,1,2,2,2)),rewrite([9075(7),9075(7)])]. 9179 f(f(x,f(x,x)),f(f(f(y,y),z),f(f(f(x,f(x,x)),y),f(u,y)))) = y. [para(8448(a,1),1005(a,1,1)),rewrite([8448(8),8448(8)])]. 9188 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,f(u,u))))) = x. [para(8448(a,1),1008(a,1,2,2,2))]. 9193 f(f(f(x,f(x,x)),y),f(x,f(x,x))) = y. [para(8448(a,1),7848(a,1,2))]. 9217 f(f(f(x,f(x,x)),y),f(y,z)) = y. [back_rewrite(9040),rewrite([9075(14),9066(10),9075(12)])]. 9222 f(x,f(x,x)) = c_0. [new_symbol(9086)]. 9265 f(c_0,f(f(f(x,x),y),f(f(c_0,x),f(z,x)))) = x. [back_rewrite(9179),rewrite([9222(2),9222(5)])]. 9386 f(f(f(x,x),y),f(f(c_0,x),f(z,x))) = f(x,x). [back_rewrite(5400),rewrite([9222(4),9222(7),9265(11),32(3),9222(5)]),flip(a)]. 9410 f(f(x,y),f(c_0,x)) = x. [back_rewrite(4650),rewrite([9222(7),9386(10),40(4),9222(6),9386(9),9222(3)])]. 9477 f(c_0,f(f(f(x,x),y),f(f(c_0,x),f(x,z)))) = x. [back_rewrite(9156),rewrite([9222(2),9222(5)])]. 9495 f(c_0,f(f(x,y),f(f(c_0,f(x,y)),f(f(x,y),z)))) = f(x,y). [back_rewrite(8479),rewrite([9222(2),9222(4)])]. 9615 f(f(f(x,x),y),f(f(c_0,x),f(x,z))) = f(x,x). [back_rewrite(5408),rewrite([9222(4),9222(7),9477(11),32(3),9222(5)]),flip(a)]. 9700 f(f(f(x,f(f(c_0,x),f(x,y))),f(z,x)),f(f(f(f(z,x),f(z,x)),u),f(f(f(f(x,u),u),f(z,x)),x))) = f(z,x). [back_rewrite(3145),rewrite([9222(5)])]. 9721 f(f(f(x,f(f(c_0,x),f(x,y))),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(2610),rewrite([9222(5)])]. 9725 f(f(x,f(y,z)),f(f(y,z),f(f(c_0,f(y,z)),y))) = f(y,z). [back_rewrite(1279),rewrite([9222(11),9615(16),9222(8)])]. 9813 f(f(c_0,x),f(x,y)) = x. [back_rewrite(9217),rewrite([9222(2)])]. 9827 f(f(c_0,x),c_0) = x. [back_rewrite(9193),rewrite([9222(2),9222(4)])]. 9830 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),c_0))) = x # label(false). [back_rewrite(9188),rewrite([9222(9)])]. 9839 f(c_0,x) = f(x,x). [back_rewrite(9172),rewrite([9222(4),9222(5),9222(8),9827(8),9410(5),9222(3)]),flip(a)]. 9849 f(c_0,f(x,x)) = x. [back_rewrite(9145),rewrite([9222(2),9222(5),9839(5),9222(5),9839(5),2546(5),9222(5),9839(5),753(14),32(4)])]. 9870 f(x,f(c_0,c_0)) = c_0. [back_rewrite(9102),rewrite([9222(2),9222(3),9222(4),604(6),9222(6)])]. 9888 f(c_0,f(f(f(c_0,f(x,y)),f(x,y)),y)) = y. [back_rewrite(9067),rewrite([9222(2),9222(3),9839(3),9222(3)])]. 9895 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),c_0))) = y # label(false). [back_rewrite(9044),rewrite([9222(9)])]. 9897 f(f(f(f(x,y),y),c_0),x) = c_0. [back_rewrite(9029),rewrite([9222(4),9222(7)])]. 9898 f(f(c_0,c_0),x) = c_0. [back_rewrite(9028),rewrite([9222(2),9222(3),9222(6)])]. 9899 f(x,c_0) = f(x,x). [back_rewrite(9024),rewrite([9222(2)])]. 9900 f(f(x,x),c_0) = x. [back_rewrite(9022),rewrite([9222(3)])]. 9963 f(x,f(f(f(x,y),y),c_0)) = c_0. [back_rewrite(8457),rewrite([9222(4),9222(7)])]. 10021 f(f(f(x,f(y,y)),c_0),y) = c_0. [back_rewrite(7772),rewrite([9222(4),9222(7)])]. 10027 f(f(x,x),f(f(y,x),c_0)) = c_0. [back_rewrite(7763),rewrite([9222(4),9222(7)])]. 10032 f(f(x,x),f(f(f(c_0,f(y,f(x,x))),f(c_0,f(z,x))),f(f(f(z,x),f(y,f(x,x))),f(x,x)))) = f(y,f(x,x)). [back_rewrite(7758),rewrite([9839(6,R),9222(7)])]. 10723 f(f(c_0,f(x,y)),f(f(f(x,y),f(c_0,f(x,y))),y)) = f(f(x,y),f(c_0,f(x,y))). [back_rewrite(2834),rewrite([9839(3,R),9839(7,R),9839(14,R)])]. 10786 f(f(x,x),f(c_0,f(x,y))) = c_0. [back_rewrite(2631),rewrite([9222(3),9222(7)])]. 10787 f(f(x,x),f(c_0,f(y,x))) = c_0. [back_rewrite(2629),rewrite([9222(3),9222(7)])]. 10791 f(x,f(c_0,f(x,y))) = f(x,y). [back_rewrite(2617),rewrite([9222(2)])]. 10793 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(2615),rewrite([9222(2)])]. 10812 f(x,f(c_0,f(y,f(x,x)))) = c_0. [back_rewrite(2026),rewrite([9222(2),9222(7)])]. 10813 f(x,f(c_0,f(f(x,x),y))) = c_0. [back_rewrite(1832),rewrite([9222(2),9222(7)])]. 10891 f(x,f(f(f(c_0,f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(9721),rewrite([9839(2),543(3),543(3),9839(3,R)])]. 10898 f(x,f(f(f(c_0,f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),x))) = f(y,x) # label(false). [back_rewrite(9700),rewrite([9839(2),543(3),544(3),9839(3,R)])]. 10913 f(c_0,f(c_0,f(x,y))) = f(x,y). [back_rewrite(9495),rewrite([9813(8),9839(4,R)])]. 10934 f(f(f(f(x,f(f(x,y),x)),x),f(x,y)),f(f(f(c_0,f(x,y)),f(x,x)),f(f(x,f(x,y)),y))) = f(x,y). [back_rewrite(8989),rewrite([9839(9,R)])]. 10967 f(f(f(f(f(c_0,f(x,y)),f(x,x)),f(f(x,f(x,y)),x)),x),f(f(x,f(f(x,y),x)),x)) = x. [back_rewrite(8755),rewrite([9839(3,R)])]. 10968 f(f(f(f(f(c_0,f(x,y)),f(y,y)),f(f(y,f(x,y)),y)),y),f(f(y,f(f(x,y),y)),y)) = y. [back_rewrite(8754),rewrite([9839(3,R)])]. 10991 f(f(x,y),f(y,f(f(f(y,f(f(y,f(f(x,y),y)),y)),f(c_0,f(x,y))),f(z,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [back_rewrite(8653),rewrite([9839(9,R),9839(13,R),9839(20,R)])]. 11105 f(f(x,y),f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(f(f(f(x,y),u),z),z),f(x,y)),x)))) = f(f(f(c_0,f(x,y)),z),f(f(f(f(f(f(x,y),u),z),z),f(x,y)),x)). [back_rewrite(8223),rewrite([9839(5,R),9839(19,R)])]. 11121 f(f(x,y),f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x)))) = f(f(f(c_0,f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x)). [back_rewrite(8196),rewrite([9839(5,R),9839(17,R)])]. 11153 f(x,f(f(f(c_0,f(x,f(y,x))),f(x,x)),f(f(y,x),x))) = f(x,f(y,x)). [back_rewrite(8049),rewrite([9839(5,R)])]. 11188 f(x,f(f(f(c_0,f(x,f(x,y))),f(x,x)),f(f(x,y),x))) = f(x,f(x,y)). [back_rewrite(7881),rewrite([9839(5,R)])]. 11959 f(f(f(x,f(f(f(x,f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,z)))),x),f(x,z))),f(x,z)),f(f(f(c_0,f(x,z)),u),f(f(f(f(x,u),u),f(x,z)),x))) = f(x,z). [back_rewrite(1181),rewrite([9839(19,R)])]. 11974 f(f(f(f(f(c_0,f(x,y)),f(y,y)),f(f(y,f(x,y)),y)),y),f(c_0,f(f(f(x,y),y),f(y,z)))) = y. [back_rewrite(1156),rewrite([9839(3,R),9839(14,R),10787(15)])]. 12040 f(f(f(f(x,y),f(f(f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(f(x,z),z),f(x,y)),x))),f(x,y)),x)),x),f(f(f(x,x),u),f(f(f(f(f(x,y),u),u),x),f(x,w)))) = x. [back_rewrite(846),rewrite([9839(5,R)])]. 12075 f(f(c_0,f(x,y)),x) = f(x,y). [back_rewrite(662),rewrite([9839(3,R)])]. 12078 f(f(c_0,f(x,y)),y) = f(x,y). [back_rewrite(657),rewrite([9839(3,R)])]. 12170 f(f(x,f(y,z)),f(c_0,f(y,z))) = f(y,z). [back_rewrite(9725),rewrite([12075(7),9839(5,R)])]. 12275 f(x,f(f(f(c_0,f(y,x)),z),f(f(f(f(x,z),z),f(y,x)),c_0))) = f(y,x) # label(false). [para(2(a,1),9830(a,1,1)),rewrite([9839(3,R),2(15)])]. 12534 f(f(x,y),f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),c_0))),y)) = y # label(false). [para(9895(a,1),2257(a,1,2,1,1)),rewrite([9895(22),9895(24)])]. 12594 f(f(f(x,f(x,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),c_0))) = x # label(false). [para(7716(a,1),9895(a,1,2,2,1,1,1,1))]. 12638 f(x,f(f(f(c_0,f(x,y)),z),f(f(f(f(x,f(f(f(f(c_0,f(x,y)),z),z),f(f(c_0,f(x,y)),z))),f(f(f(f(c_0,f(x,y)),z),z),f(f(c_0,f(x,y)),z))),f(x,y)),x))) = f(x,y) # label(false). [para(2257(a,1),10891(a,1,2,1))]. 12669 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),c_0))) = x. [para(9222(a,1),753(a,1,2,2,2))]. 12685 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(f(f(y,x),z),z),y)))) = y # label(false). [para(9839(a,2),66(a,1,2,2))]. 12716 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(f(f(x,y),z),z),y)))) = y # label(false). [para(9839(a,2),1005(a,1,2,2))]. 12718 f(f(x,y),f(f(f(x,x),z),f(c_0,f(f(f(f(x,y),z),z),x)))) = x # label(false). [para(9839(a,2),1008(a,1,2,2))]. 12742 f(f(x,f(y,y)),f(f(y,z),f(c_0,f(f(f(f(f(y,y),x),z),z),f(y,y))))) = f(y,y) # label(false). [para(604(a,1),294(a,1,2,2)),rewrite([9839(16,R)])]. 12799 f(x,f(f(f(c_0,f(x,y)),z),f(c_0,f(f(f(x,z),z),f(x,y))))) = f(x,y) # label(false). [para(40(a,1),12685(a,1,2,2,2,1,1,1)),rewrite([543(3),9839(3,R)])]. 12805 f(f(f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x)),x),f(f(f(x,x),z),f(c_0,f(f(f(f(x,y),z),z),x)))) = x # label(false). [para(764(a,1),12685(a,1,2,2,2,1,1,1))]. 12884 f(f(f(f(f(x,y),f(f(f(x,y),y),f(x,y))),f(x,y)),x),f(f(f(x,x),z),f(c_0,f(f(f(f(x,y),z),z),x)))) = x # label(false). [para(2482(a,1),12685(a,1,2,2,2,1,1,1))]. 12886 f(f(f(f(f(x,y),f(f(f(y,x),x),f(x,y))),f(x,y)),y),f(f(f(y,y),z),f(c_0,f(f(f(f(x,y),z),z),y)))) = y # label(false). [para(2648(a,1),12685(a,1,2,2,2,1,1,1))]. 12950 f(x,f(c_0,f(f(f(x,x),y),f(c_0,f(f(f(f(z,x),y),y),x))))) = f(f(f(x,x),y),f(c_0,f(f(f(f(z,x),y),y),x))). [para(12716(a,1),11(a,1,1)),rewrite([9839(19,R)])]. 12967 f(f(x,y),f(f(f(y,y),f(f(f(f(x,y),z),z),f(f(x,y),z))),f(c_0,f(f(f(f(x,y),z),f(f(f(f(x,y),z),z),f(f(x,y),z))),y)))) = y # label(false). [para(2257(a,1),12716(a,1,2,2,2,1,1))]. 12998 f(x,f(x,f(f(f(x,x),y),f(c_0,f(f(f(f(z,x),y),y),x))))) = f(f(f(x,x),y),f(c_0,f(f(f(f(z,x),y),y),x))). [para(12716(a,1),7848(a,1,1)),rewrite([12716(11)])]. 13014 f(f(f(x,x),y),f(f(x,z),f(c_0,f(f(f(f(f(x,x),y),z),z),f(x,x))))) = f(x,x) # label(false). [para(11(a,1),12718(a,1,2,1,1))]. 13036 f(f(x,y),f(f(f(x,x),f(f(f(f(x,y),z),z),f(f(x,y),z))),f(c_0,f(f(f(f(x,y),z),f(f(f(f(x,y),z),z),f(f(x,y),z))),x)))) = x # label(false). [para(2257(a,1),12718(a,1,2,2,2,1,1))]. 13089 f(f(f(c_0,f(x,y)),f(x,y)),y) = f(y,y). [para(1369(a,1),10898(a,1,2,2,1)),rewrite([9222(3),9888(8),9839(3,R),9849(3),9222(3)]),flip(a)]. 13416 f(x,f(f(f(c_0,f(f(c_0,f(f(x,y),y)),x)),y),f(f(c_0,f(f(x,y),y)),c_0))) = f(f(c_0,f(f(x,y),y)),x). [para(604(a,1),12275(a,1,2,2,1)),rewrite([9839(6,R),9839(13,R),9839(21,R)])]. 13743 f(f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(f(x,z),z),f(x,y)))),x),f(f(x,f(x,f(f(f(x,f(f(f(x,x),u),f(f(f(f(f(x,y),u),u),x),f(x,y)))),x),f(x,y)))),x)) = x. [para(12799(a,1),1388(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite([12799(30),12799(35)])]. 13881 f(f(f(f(x,y),y),c_0),f(c_0,f(x,f(z,z)))) = c_0. [para(9897(a,1),679(a,1,2,2,1,1,1)),rewrite([9898(8),9839(7),9900(8),9839(7)])]. 13926 f(f(f(x,f(f(f(x,x),y),f(c_0,f(f(f(f(x,z),y),y),x)))),c_0),f(z,x)) = c_0 # label(false). [para(12685(a,1),9897(a,1,1,1,1))]. 13927 f(f(f(x,f(f(f(x,x),y),f(c_0,f(f(f(f(z,x),y),y),x)))),c_0),f(z,x)) = c_0 # label(false). [para(12716(a,1),9897(a,1,1,1,1))]. 13932 f(f(c_0,f(f(x,y),y)),x) = c_0. [para(9899(a,1),9897(a,1,1)),rewrite([9839(5,R)])]. 13955 f(x,f(c_0,f(f(c_0,f(f(x,y),y)),c_0))) = c_0. [back_rewrite(13416),rewrite([13932(6),9898(4),13932(14)])]. 14141 f(f(x,y),f(f(f(y,y),f(f(f(f(y,x),z),z),c_0)),f(f(f(c_0,f(f(f(f(y,x),z),z),c_0)),y),c_0))) = y # label(false). [para(9963(a,1),9895(a,1,2,2,1,1,1))]. 14143 f(x,f(f(f(c_0,f(x,y)),f(f(f(x,z),z),c_0)),f(f(f(c_0,f(f(f(x,z),z),c_0)),f(x,y)),x))) = f(x,y) # label(false). [para(9963(a,1),10891(a,1,2,2,1,1,1))]. 14150 f(f(x,y),f(f(y,f(f(f(y,y),z),f(c_0,f(f(f(f(y,x),z),z),y)))),c_0)) = c_0 # label(false). [para(12685(a,1),9963(a,1,2,1,1))]. 14156 f(f(x,y),f(f(x,f(f(f(x,x),z),f(c_0,f(f(f(f(x,y),z),z),x)))),c_0)) = c_0 # label(false). [para(12718(a,1),9963(a,1,2,1,1))]. 14706 f(f(x,y),f(f(y,f(f(f(y,y),f(f(x,f(f(f(f(y,x),f(z,x)),f(z,x)),x)),x)),f(f(f(x,f(f(x,f(f(f(f(y,x),f(z,x)),f(z,x)),x)),x)),y),c_0))),y)) = y. [para(1897(a,1),12534(a,1,2,1,2,2,1,1,1))]. 14797 f(f(f(x,f(x,y)),x),f(f(f(x,x),f(f(f(f(x,y),z),z),f(f(x,y),z))),f(f(f(f(f(x,y),z),f(f(f(f(x,y),z),z),f(f(x,y),z))),x),c_0))) = x # label(false). [para(2257(a,1),12594(a,1,2,2,1,1,1))]. 14994 f(f(f(x,f(y,y)),c_0),f(c_0,f(y,f(z,z)))) = c_0. [para(10021(a,1),679(a,1,2,2,1,1,1)),rewrite([9898(8),9839(7),9900(8),9839(7)])]. 15042 f(f(c_0,f(x,y)),f(x,x)) = c_0. [para(543(a,1),10027(a,1,2,1)),rewrite([9839(3,R),9899(5)])]. 15043 f(f(c_0,f(x,y)),f(y,y)) = c_0. [para(544(a,1),10027(a,1,2,1)),rewrite([9839(3,R),9899(5)])]. 15147 f(f(x,y),x) = f(x,f(x,y)). [back_rewrite(11188),rewrite([15042(6),10793(5)])]. 15148 f(f(x,y),y) = f(y,f(x,y)). [back_rewrite(11153),rewrite([15042(6),10793(5)])]. 15153 f(f(x,y),f(x,f(x,y))) = x. [back_rewrite(10967),rewrite([15042(5),15147(4),7716(4),12075(4),15147(3),7716(4),15147(3)])]. 15155 f(x,f(c_0,f(f(x,f(x,y)),y))) = f(x,y). [back_rewrite(10934),rewrite([15147(2),7716(3),15147(2),15148(4),15153(4),15042(5)])]. 15163 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,z)))) = y. [back_rewrite(11974),rewrite([15043(5),15147(4),7717(4),12078(4),15148(4)])]. 15203 f(f(x,y),f(y,f(x,y))) = y. [back_rewrite(10968),rewrite([15043(5),15147(4),7717(4),12078(4),15148(3),7717(4),15148(3)])]. 15293 f(f(x,y),f(f(f(x,x),z),f(f(f(z,f(f(x,y),z)),x),c_0))) = x # label(false). [back_rewrite(14797),rewrite([15147(3),7716(3),15148(5),15148(8),15203(8),15148(8),15148(11),15203(11),15148(6)])]. 15354 f(f(x,y),f(y,f(y,f(f(f(y,y),f(f(f(z,x),f(f(y,x),f(z,x))),x)),f(f(f(x,f(f(f(z,x),f(f(y,x),f(z,x))),x)),y),c_0))))) = y. [back_rewrite(14706),rewrite([15148(7),15147(10),7717(10),15148(14),15147(17),7717(17),15147(22)])]. 15610 f(x,f(c_0,f(y,f(x,y)))) = c_0. [back_rewrite(13955),rewrite([15148(4),15147(7),10913(7)])]. 15649 f(f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x),f(x,f(f(x,f(x,f(f(f(x,x),u),f(f(f(u,f(f(x,y),u)),x),f(x,y))))),f(x,y)))) = x. [back_rewrite(13743),rewrite([15148(7),15148(17),15147(23),15147(28),7716(28)])]. 15747 f(f(x,y),f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))) = x # label(false). [back_rewrite(13036),rewrite([15148(5),15148(8),15203(8),15148(9),15148(12),15203(12),15148(7)])]. 15765 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y)))) = y # label(false). [back_rewrite(12967),rewrite([15148(5),15148(8),15203(8),15148(9),15148(12),15203(12),15148(7)])]. 15774 f(f(f(f(x,f(y,x)),f(x,y)),y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y)))) = y # label(false). [back_rewrite(12886),rewrite([15148(3),15147(8),7717(8),15148(11)])]. 15776 f(f(x,y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y)))) = y # label(false). [back_rewrite(12884),rewrite([15148(3),15148(5),15203(5),15148(2),15148(4),15203(4),15148(7)])]. 15796 f(f(f(f(x,y),f(y,x)),x),f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))) = x # label(false). [back_rewrite(12805),rewrite([15148(3),15148(5),15203(5),15148(10)])]. 15820 f(x,f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(12638),rewrite([15148(9),15148(14),15203(14),15148(10),15148(15),15203(15),15148(6)])]. 15912 f(f(f(f(x,y),f(f(f(x,y),f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)))),x)),x),f(f(f(x,x),u),f(f(f(u,f(f(x,y),u)),x),f(x,w)))) = x. [back_rewrite(12040),rewrite([15148(8),15147(15),15148(23)])]. 15940 f(f(f(x,f(f(x,f(x,f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,z))))),f(x,z))),f(x,z)),f(f(f(c_0,f(x,z)),u),f(f(f(u,f(x,u)),f(x,z)),x))) = f(x,z). [back_rewrite(11959),rewrite([15148(5),15147(11),15148(22)])]. 16219 f(f(x,y),f(y,f(f(f(x,y),f(c_0,f(x,y))),f(z,f(c_0,f(x,y)))))) = f(c_0,f(x,y)). [back_rewrite(10991),rewrite([15148(3),7717(4),15148(3),7717(4)])]. 16414 f(x,f(f(y,f(x,y)),f(y,x))) = f(y,x). [back_rewrite(8676),rewrite([15148(2),7717(3),15148(2),15148(4),15203(4),15148(2)])]. 17035 f(f(x,y),f(f(x,f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))),c_0)) = c_0 # label(false). [back_rewrite(14156),rewrite([15148(7)])]. 17041 f(f(x,y),f(f(y,f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y)))),c_0)) = c_0 # label(false). [back_rewrite(14150),rewrite([15148(7)])]. 17048 f(x,f(f(f(c_0,f(x,y)),f(f(z,f(x,z)),c_0)),f(f(f(c_0,f(f(z,f(x,z)),c_0)),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(14143),rewrite([15148(5),15148(11)])]. 17049 f(f(x,y),f(f(f(y,y),f(f(z,f(f(y,x),z)),c_0)),f(f(f(c_0,f(f(z,f(f(y,x),z)),c_0)),y),c_0))) = y # label(false). [back_rewrite(14141),rewrite([15148(5),15148(12)])]. 17126 f(f(c_0,f(x,f(y,x))),y) = c_0. [back_rewrite(13932),rewrite([15148(3)])]. 17130 f(f(f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x)))),c_0),f(z,x)) = c_0 # label(false). [back_rewrite(13927),rewrite([15148(6)])]. 17131 f(f(f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x)))),c_0),f(z,x)) = c_0 # label(false). [back_rewrite(13926),rewrite([15148(6)])]. 17147 f(f(f(x,f(y,x)),c_0),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(13881),rewrite([15148(2)])]. 17406 f(f(f(x,y),f(c_0,f(x,y))),y) = f(y,y). [back_rewrite(13089),rewrite([15148(5)])]. 17439 f(f(f(x,x),y),f(f(x,z),f(c_0,f(f(z,f(f(f(x,x),y),z)),f(x,x))))) = f(x,x) # label(false). [back_rewrite(13014),rewrite([15148(8)])]. 17447 f(x,f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))))) = f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))). [back_rewrite(12998),rewrite([15148(6),15148(17)])]. 17476 f(x,f(c_0,f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))))) = f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))). [back_rewrite(12950),rewrite([15148(7),15148(18)])]. 17578 f(f(x,f(y,y)),f(f(y,z),f(c_0,f(f(z,f(f(f(y,y),x),z)),f(y,y))))) = f(y,y) # label(false). [back_rewrite(12742),rewrite([15148(8)])]. 17601 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),c_0))) = x. [back_rewrite(12669),rewrite([15148(6)])]. 17992 f(f(x,y),f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)))) = f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)). [back_rewrite(11121),rewrite([15148(8),15148(20)])]. 17995 f(f(x,y),f(f(x,y),f(f(f(c_0,f(x,y)),z),f(f(f(z,f(f(f(x,y),u),z)),f(x,y)),x)))) = f(f(f(c_0,f(x,y)),z),f(f(f(z,f(f(f(x,y),u),z)),f(x,y)),x)). [back_rewrite(11105),rewrite([15148(10),15148(24)])]. 18133 f(x,f(x,f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,u))))) = f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,u))). [back_rewrite(8184),rewrite([15148(5),15148(16)])]. 18540 f(f(f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,u))),f(z,x)),f(f(z,x),f(f(f(z,f(x,z)),f(z,x)),f(f(z,x),w)))) = f(z,x). [back_rewrite(783),rewrite([15148(5),15148(14)])]. 18578 f(x,f(f(x,y),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(7880),rewrite([15153(5),9222(3)])]. 18622 f(f(x,y),f(c_0,f(x,y))) = c_0. [back_rewrite(10723),rewrite([17406(9),15043(5)]),flip(a)]. 18689 f(f(f(f(x,y),f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(x,z)),f(x,y)),x)),x)),x),f(f(f(x,x),u),f(f(f(u,f(f(x,y),u)),x),f(x,w)))) = x. [back_rewrite(15912),rewrite([17992(15)])]. 18829 f(f(f(x,f(f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(x,z))),f(x,z))),f(x,z)),f(f(f(c_0,f(x,z)),u),f(f(f(u,f(x,u)),f(x,z)),x))) = f(x,z). [back_rewrite(15940),rewrite([18133(11)])]. 18833 f(f(f(f(f(c_0,f(x,y)),z),f(c_0,f(f(z,f(x,z)),f(x,y)))),x),f(x,f(f(f(f(x,x),u),f(f(f(u,f(f(x,y),u)),x),f(x,y))),f(x,y)))) = x. [back_rewrite(15649),rewrite([18133(23)])]. 18865 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(16219),rewrite([18622(6)])]. 18902 f(f(x,y),f(y,f(f(f(f(y,y),z),f(f(f(z,f(f(y,x),z)),y),c_0)),y))) = y # label(false). [para(15293(a,1),15776(a,1,2,2,2,1,2)),rewrite([17601(12),15148(13),10791(15)])]. 18910 f(f(x,y),c_0) = f(c_0,f(x,y)). [para(10786(a,1),544(a,1,2)),rewrite([9839(7,R),10913(5)])]. 18914 f(f(x,y),f(y,f(f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y))),y))) = y # label(false). [back_rewrite(18902),rewrite([18910(9)])]. 18995 f(f(c_0,f(x,f(y,x))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(17147),rewrite([18910(4)])]. 19010 f(f(c_0,f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x))))),f(z,x)) = c_0 # label(false). [back_rewrite(17131),rewrite([18910(12)])]. 19011 f(f(c_0,f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))))),f(z,x)) = c_0 # label(false). [back_rewrite(17130),rewrite([18910(12)])]. 19075 f(f(x,y),f(f(f(y,y),f(c_0,f(z,f(f(y,x),z)))),f(c_0,f(f(z,f(f(y,x),z)),y)))) = y # label(false). [back_rewrite(17049),rewrite([18910(7),18910(14),10913(15),18910(14)])]. 19076 f(x,f(f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))),f(f(f(z,f(x,z)),f(x,y)),x))) = f(x,y) # label(false). [back_rewrite(17048),rewrite([18910(7),18910(13),10913(14)])]. 19081 f(f(x,y),f(c_0,f(y,f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y)))))) = c_0 # label(false). [back_rewrite(17041),rewrite([18910(13)])]. 19085 f(f(x,y),f(c_0,f(x,f(f(f(x,x),z),f(c_0,f(f(z,f(f(x,y),z)),x)))))) = c_0 # label(false). [back_rewrite(17035),rewrite([18910(13)])]. 19278 f(f(x,y),f(y,f(y,f(f(f(y,y),f(f(f(z,x),f(f(y,x),f(z,x))),x)),f(c_0,f(f(x,f(f(f(z,x),f(f(y,x),f(z,x))),x)),y)))))) = y. [back_rewrite(15354),rewrite([18910(19)])]. 19321 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(14994),rewrite([18910(4)])]. 19449 f(f(x,y),f(y,f(f(f(f(y,y),f(c_0,f(f(c_0,f(y,x)),z))),f(c_0,f(f(f(c_0,f(y,x)),z),y))),y))) = y. [para(10813(a,1),18914(a,1,2,2,1,2,2,1,2)),rewrite([9839(6,R),9839(14,R),15147(18),10913(18)])]. 19513 f(f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x))),x) = f(x,f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x)))). [para(19011(a,1),15820(a,1,2,1)),rewrite([15203(5),17447(12),10793(13)])]. 19528 f(f(x,x),f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x)))) = x. [para(15765(a,1),12078(a,1,1,2)),rewrite([9839(2),15765(22)])]. 19695 f(f(x,x),f(c_0,f(f(x,y),f(c_0,f(f(y,f(f(f(x,x),z),y)),f(x,x)))))) = f(f(x,y),f(c_0,f(f(y,f(f(f(x,x),z),y)),f(x,x)))). [para(17439(a,1),11(a,1,1)),rewrite([9839(22,R)])]. 19820 f(f(f(x,y),f(c_0,f(f(y,f(f(f(x,x),z),y)),f(x,x)))),f(x,x)) = f(f(x,x),f(f(x,y),f(c_0,f(f(y,f(f(f(x,x),z),y)),f(x,x))))). [para(17439(a,1),15148(a,1,1)),rewrite([17439(35)]),flip(a)]. 19883 f(f(x,x),f(f(x,x),f(f(x,y),f(c_0,f(f(y,f(f(f(x,x),z),y)),f(x,x)))))) = f(f(x,y),f(c_0,f(f(y,f(f(f(x,x),z),y)),f(x,x)))). [para(17439(a,1),15203(a,1,1)),rewrite([17439(24),19820(13)])]. 20592 f(f(x,y),f(f(c_0,f(x,y)),z)) = f(c_0,f(x,y)). [para(12170(a,1),543(a,1,1))]. 20601 f(f(c_0,f(x,f(y,z))),f(c_0,f(y,z))) = c_0. [para(12170(a,1),10786(a,1,2,2)),rewrite([9839(5,R)])]. 20605 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,y)))) = c_0. [para(12170(a,1),10812(a,1,2,2,2))]. 20615 f(f(f(c_0,f(x,y)),z),f(c_0,f(f(c_0,f(x,y)),f(f(f(x,y),u),f(c_0,f(f(u,f(f(f(c_0,f(x,y)),z),u)),f(c_0,f(x,y)))))))) = c_0. [para(12170(a,1),19085(a,1,2,2,2,1,1))]. 20661 f(f(f(x,f(x,y)),y),f(c_0,f(x,y))) = c_0. [para(15155(a,1),10787(a,1,2,2)),rewrite([9839(11,R),10913(7)])]. 20711 f(f(c_0,f(f(x,f(x,y)),y)),f(x,y)) = f(f(x,y),f(c_0,f(f(x,f(x,y)),y))). [para(15155(a,1),15148(a,1,1)),rewrite([15155(18)]),flip(a)]. 20818 f(x,f(c_0,f(f(x,f(y,x)),f(f(y,f(x,y)),f(y,x))))) = f(y,x). [para(16414(a,1),15155(a,1,2,2,1,2)),rewrite([16414(15)])]. 22535 f(f(f(x,f(x,y)),y),x) = f(x,f(x,y)). [para(20661(a,1),15747(a,1,2,2,2,1,2)),rewrite([9839(8,R),20601(11),15147(10),10913(10),15153(9),9839(6),9849(6)])]. 22552 f(f(x,f(y,f(y,x))),f(c_0,f(y,x))) = c_0. [para(20661(a,1),19081(a,1,2,2,2,2,2,1,2)),rewrite([9839(11,R),20601(14),15147(13),10913(13),15153(12),9839(9),9849(9),15147(7),7716(7)])]. 22984 f(f(f(x,f(y,x)),f(f(y,f(x,y)),f(y,x))),x) = f(x,f(y,x)). [para(16414(a,1),22535(a,1,1,1,2)),rewrite([16414(13)])]. 23356 f(f(f(f(x,f(f(y,y),x)),f(x,f(y,y))),f(y,y)),f(f(y,z),f(c_0,f(f(z,f(f(f(y,y),x),z)),f(y,y))))) = f(y,y) # label(false). [para(17578(a,1),15774(a,1,2,2,2,1,2)),rewrite([9839(11,R),9849(11),18578(19),19820(22),15147(24),19883(24),19695(22)])]. 23410 f(f(f(f(f(x,y),f(f(x,f(y,x)),f(x,y))),f(f(f(x,f(y,x)),f(x,y)),y)),y),f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y)))) = y # label(false). [para(15774(a,1),15774(a,1,2,2,2,1,2)),rewrite([16414(9),15148(6),19528(24),19513(24),15147(25),17447(25),17476(25)])]. 23616 f(f(x,f(y,f(y,x))),f(x,f(y,x))) = x. [para(22552(a,1),15747(a,1,2,2,2,1,2)),rewrite([10787(8),15147(10),10913(10),15148(7),10913(9)])]. 23907 f(f(f(f(x,f(y,x)),f(x,y)),f(y,f(x,y))),f(f(x,y),f(f(x,f(y,x)),f(x,y)))) = f(f(x,f(y,x)),f(x,y)). [para(16414(a,1),23616(a,1,1,2,2)),rewrite([16414(16),15148(13)])]. 24176 f(f(f(x,f(y,x)),f(x,z)),f(x,x)) = c_0. [para(15163(a,1),10787(a,1,2,2)),rewrite([9839(13,R),10913(8),9839(6)])]. 24194 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(x,z)))) = x. [para(15147(a,1),15163(a,1,1)),rewrite([15147(5),7716(6)])]. 24208 f(f(x,f(y,x)),f(c_0,f(x,f(f(y,x),z)))) = f(y,x). [para(15203(a,1),15163(a,1,2,2,1))]. 24326 f(f(f(x,y),f(x,z)),f(x,x)) = c_0. [para(15147(a,1),24176(a,1,1,1,2)),rewrite([7716(3)])]. 24330 f(f(f(x,y),f(y,z)),f(y,y)) = c_0. [para(15148(a,1),24176(a,1,1,1,2)),rewrite([7717(3)])]. 24366 f(f(x,x),f(f(x,y),f(x,z))) = c_0. [para(24326(a,1),19010(a,1,1,2,2,2,2,1,2)),rewrite([9839(5,R),15042(7),18910(7),9849(7),10913(8),15153(5),9839(2)])]. 24374 f(f(f(f(f(x,y),f(x,z)),f(f(x,z),f(x,y))),f(x,y)),f(x,f(x,y))) = f(x,y). [para(24326(a,1),15796(a,1,2,2,2,1,2)),rewrite([9839(12,R),15042(14),18910(14),9849(14),10913(15)])]. 24464 f(f(f(x,f(y,y)),f(z,f(y,y))),y) = c_0. [para(10032(a,1),24330(a,1,1,2)),rewrite([9839(8,R),9849(8)])]. 24465 f(f(f(f(f(x,y),f(f(y,z),f(x,y))),f(f(x,y),f(y,z))),f(y,z)),f(y,f(y,z))) = f(y,z). [para(24330(a,1),15774(a,1,2,2,2,1,2)),rewrite([9839(14,R),15042(16),18910(16),9849(16),10913(17)])]. 24537 f(f(f(f(f(x,x),f(c_0,f(y,f(f(x,z),y)))),f(c_0,f(f(y,f(f(x,z),y)),x))),f(z,x)),f(f(f(c_0,f(z,x)),u),f(c_0,f(f(u,f(x,u)),f(z,x))))) = f(z,x). [para(19075(a,1),15776(a,1,2,2,2,1,2,1)),rewrite([9839(19,R)])]. 24566 f(f(x,y),f(f(f(y,y),f(c_0,f(f(f(y,x),z),f(c_0,f(f(f(y,x),f(f(y,x),z)),z))))),f(c_0,f(f(f(f(y,x),z),f(c_0,f(f(f(y,x),f(f(y,x),z)),z))),y)))) = y. [para(15155(a,1),19075(a,1,2,1,2,2,2)),rewrite([20711(13),15155(32),20711(26)])]. 24613 f(x,y) = f(y,x). [para(15148(a,1),19076(a,1,2,2,1)),rewrite([20605(8),15203(5),10793(4)])]. 24620 f(x,f(f(x,f(f(x,y),f(z,f(x,z)))),f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))))) = f(x,y) # label(false). [para(15610(a,1),19076(a,1,2,1,2,2,2)),rewrite([24613(10),10913(10),15610(17),24613(14),10913(14),24613(12),24613(13),24613(14)])]. 24621 f(f(c_0,f(x,f(x,y))),f(f(y,f(c_0,f(x,f(x,y)))),f(z,f(z,f(c_0,f(x,f(x,y))))))) = f(y,f(c_0,f(x,f(x,y)))). [para(17126(a,1),19076(a,1,2,1,1,2)),rewrite([24613(2),24613(10),24613(13),543(16),24613(7),24613(10),24613(13),24613(16),24613(17),24613(19),24613(22),10791(24),24613(19),24613(22)])]. 24622 f(x,f(c_0,f(y,f(y,x)))) = c_0. [para(17126(a,1),19076(a,2)),rewrite([24613(2),24613(7),24613(10),24613(14),24613(17),24613(22),24613(25),24613(28),24613(31),24613(32),24613(34),24613(37),24621(37),24613(26),20592(26),10793(12)])]. 24634 f(x,f(f(x,y),f(f(x,y),f(f(x,f(f(x,y),f(z,f(x,z)))),f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))))))) = f(x,y) # label(false). [para(19076(a,1),16414(a,1,2,1,2)),rewrite([24613(12),24613(13),24613(14),24613(16),24613(28),24613(29),24613(30),24613(31),24620(31),24613(18),24613(31),24613(32),24613(33),24613(34),24620(34)])]. 24650 f(f(x,y),f(f(z,f(x,x)),f(c_0,f(x,f(z,f(z,f(x,y))))))) = x # label(false). [para(19076(a,1),15774(a,1,1,1,1,2)),rewrite([24613(12),24613(13),24613(14),24613(16),24613(28),24613(29),24613(30),24613(31),24620(31),24613(18),24613(19),24634(19),24613(3),24613(16),24613(17),24613(18),24613(19),24620(19),24613(6),24613(8)])]. 24662 f(f(x,y),f(f(c_0,f(x,f(z,f(z,f(x,y))))),f(f(x,x),f(c_0,f(z,f(z,f(x,y))))))) = x # label(false). [para(19076(a,1),19075(a,1,2,1,2,2,2,1)),rewrite([24613(12),24613(13),24613(14),24613(15),24620(15),24613(5),24613(21),24613(22),24613(23),24620(24),24613(11),24613(13),24613(15)])]. 24680 f(f(x,y),f(f(c_0,f(y,f(f(z,f(x,y)),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))))),f(f(y,y),f(c_0,f(f(z,f(x,y)),f(c_0,f(z,f(f(x,y),f(z,f(x,y)))))))))) = y. [back_rewrite(24566),rewrite([24613(4),24613(5),24613(7),24613(8),24613(9),24613(11),24613(17),24613(18),24613(20),24613(21),24613(22),24613(24),24613(27),24613(29)])]. 24694 f(x,f(f(y,f(c_0,f(x,z))),f(c_0,f(f(x,z),f(y,f(x,y)))))) = f(x,z) # label(false). [back_rewrite(24537),rewrite([24613(4),24613(10),24613(12),24613(14),24613(15),24613(16),24662(16),24613(2),24613(4),24613(8),24613(9),24613(13)])]. 24726 f(f(x,f(x,y)),f(f(z,x),f(x,y))) = f(x,y). [back_rewrite(24465),rewrite([24613(4),24613(9),15153(9),24613(6)])]. 24727 f(x,f(f(y,f(x,x)),f(z,f(x,x)))) = c_0. [back_rewrite(24464),rewrite([24613(6)])]. 24756 f(f(x,f(x,y)),f(f(x,y),f(x,z))) = f(x,y). [back_rewrite(24374),rewrite([24613(6),9839(7,R),24613(7),10791(7),24613(6)])]. 24806 f(f(x,f(x,y)),f(c_0,f(x,f(z,f(x,y))))) = f(x,y). [back_rewrite(24208),rewrite([24613(1),24613(4),24613(5),24613(9)])]. 24885 f(f(x,f(x,y)),f(x,f(y,f(x,y)))) = x. [back_rewrite(23907),rewrite([24613(1),24613(4),15153(4),24613(5),24613(8),15153(8),24613(5),24613(6),24613(7),24613(10),15153(10)])]. 24966 f(f(x,y),f(f(z,f(y,y)),f(c_0,f(y,f(z,f(z,f(x,y))))))) = y # label(false). [back_rewrite(23410),rewrite([24613(2),24613(5),15153(5),24613(2),24613(3),24613(6),15153(6),24613(4),15153(4),24613(3),24613(6),24613(8)])]. 24982 f(f(x,f(y,y)),f(f(y,z),f(c_0,f(f(y,y),f(z,f(z,f(x,f(y,y)))))))) = f(y,y) # label(false). [back_rewrite(23356),rewrite([24613(2),24613(6),15153(6),24613(6),24613(7),24613(10)])]. 25046 f(x,f(y,f(x,f(x,y)))) = f(x,f(x,y)). [back_rewrite(22984),rewrite([24613(1),24613(5),24613(6),15203(6),24613(3),24613(4),24613(5)])]. 25284 f(x,f(c_0,f(y,f(x,f(x,y))))) = f(x,y). [back_rewrite(20818),rewrite([24613(2),24613(6),24613(7),15203(7),24613(4),24613(7)])]. 25327 f(f(x,f(c_0,f(y,z))),f(c_0,f(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))))))))))) = c_0. [back_rewrite(20615),rewrite([24613(4),24613(10),24613(15),24613(16),24613(21)])]. 25525 f(f(x,y),f(y,f(y,f(f(c_0,f(y,f(z,f(c_0,f(x,y))))),f(f(y,y),f(c_0,f(z,f(c_0,f(x,y))))))))) = y. [back_rewrite(19449),rewrite([24613(5),24613(7),24613(12),24613(14),24613(15),24613(17),24613(18)])]. 25546 f(f(x,y),f(y,f(y,f(f(c_0,f(y,f(x,f(x,f(f(x,z),f(f(x,y),f(x,z))))))),f(f(y,y),f(x,f(f(x,z),f(f(x,y),f(x,z))))))))) = y. [back_rewrite(19278),rewrite([24613(3),24613(4),24613(5),24613(8),24613(11),24613(12),24613(13),24613(16),24613(18),24613(20)])]. 25611 f(f(c_0,f(x,f(x,y))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(18995),rewrite([24613(2)])]. 25638 f(f(x,y),f(x,f(f(x,y),f(f(z,f(x,x)),f(f(x,y),f(x,f(z,f(z,f(x,y))))))))) = x # label(false). [back_rewrite(18833),rewrite([24613(4),24613(9),24613(12),24694(12),24613(3),24613(5),24613(7),24613(9),24613(12)])]. 25641 f(x,f(f(y,f(c_0,f(x,z))),f(x,f(f(x,z),f(y,f(x,y)))))) = f(x,z) # label(false). [back_rewrite(18829),rewrite([24613(2),24613(4),24613(6),24613(8),24613(11),24613(14),25638(14),24613(4),24613(8),24613(9)])]. 25669 f(f(x,y),f(f(z,f(x,x)),f(f(x,u),f(x,f(z,f(z,f(x,y))))))) = x. [back_rewrite(18689),rewrite([24613(5),24613(9),24613(10),24613(12),25641(12),9839(3,R),24613(4),10791(4),24613(3),24613(5),24613(7),24613(9)])]. 25692 f(x,f(f(x,y),f(y,f(z,f(x,y))))) = f(x,y). [back_rewrite(18540),rewrite([24613(2),24613(4),24613(6),24613(8),24613(10),24613(11),25669(11),24613(1),24613(4),24613(5),15203(5),24613(2),24613(3),24613(7)])]. 25800 f(f(x,y),f(f(x,y),f(f(z,f(c_0,f(x,y))),f(x,f(f(x,y),f(z,f(z,f(u,f(x,y))))))))) = f(f(z,f(c_0,f(x,y))),f(x,f(f(x,y),f(z,f(z,f(u,f(x,y))))))). [back_rewrite(17995),rewrite([24613(6),24613(8),24613(9),24613(12),24613(13),24613(20),24613(22),24613(23),24613(26),24613(27)])]. 26164 f(f(c_0,c_0),f(f(x,y),f(z,z))) = c_0. [para(10913(a,1),24366(a,1,2,1)),rewrite([24613(6),9899(6)])]. 26177 f(x,f(c_0,f(y,x))) = f(y,x). [para(24966(a,1),543(a,1,2)),rewrite([9899(3,R),24613(3),24613(4)])]. 26178 f(f(x,x),f(c_0,f(y,x))) = c_0. [para(24966(a,1),10786(a,1,2,2)),rewrite([9899(3,R),24613(3),24613(5),9899(5),24613(5)])]. 26180 f(x,f(x,f(y,x))) = f(y,x). [para(24966(a,1),15153(a,1,2,2)),rewrite([24966(11),24613(2)])]. 26187 f(f(f(x,f(c_0,f(y,z))),f(c_0,f(f(x,f(x,y)),f(y,z)))),f(f(y,f(c_0,f(x,f(c_0,f(y,z))))),f(c_0,f(f(y,f(y,z)),f(x,f(c_0,f(y,z))))))) = f(x,f(c_0,f(y,z))) # label(false). [para(24694(a,1),24650(a,1,2,2,2,2,2)),rewrite([24613(7),24613(9),9899(20,R),24613(17),24613(26)])]. 26188 f(x,f(f(y,f(c_0,f(x,z))),f(c_0,f(f(y,f(y,x)),f(x,z))))) = f(x,z) # label(false). [para(24694(a,1),24613(a,2)),rewrite([24613(7),24613(9),24613(12)])]. 26199 f(f(x,y),f(f(z,f(y,y)),f(f(x,y),f(y,f(z,f(z,f(x,y))))))) = y # label(false). [para(11(a,1),25641(a,1,2,1,2,2)),rewrite([24613(3),9899(3),11(7),24613(6),11(14)])]. 26216 f(f(c_0,c_0),f(f(x,y),f(z,u))) = c_0. [para(12170(a,1),26164(a,1,2,2))]. 26248 f(f(c_0,f(x,y)),f(f(x,y),f(z,u))) = f(x,y). [para(26216(a,1),24650(a,1,2,2,2,2,2)),rewrite([9899(9,R),24613(9),543(10),24613(11),9222(11),24613(8),10913(9),24613(7)])]. 26249 f(f(c_0,f(x,y)),f(f(z,u),f(x,y))) = f(x,y). [para(26216(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(9,R),24613(9),543(10),24613(11),9222(11),24613(8),10913(9),24613(7)])]. 26376 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,z))) = c_0. [para(11(a,1),19321(a,1,2,2,2))]. 26377 f(f(x,x),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(11(a,1),19321(a,1,2,2)),rewrite([9899(4,R),24613(4),24613(8),9899(8),24613(8)])]. 26378 f(x,f(c_0,f(f(x,x),f(y,y)))) = c_0. [para(607(a,1),19321(a,1,1,2)),rewrite([9849(3)])]. 26396 f(f(x,y),f(y,f(z,f(c_0,f(x,y))))) = y. [back_rewrite(25525),rewrite([26377(16),24613(10),10913(10),7716(8)])]. 26407 f(f(x,y),f(x,f(z,f(z,f(x,y))))) = x # label(false). [para(26199(a,1),24966(a,1,2,2,2,2,2)),rewrite([24613(3),24613(4),24613(10),24613(11),24613(12),24613(17),24613(18),9899(23,R),24613(18),10791(19),24613(17),24613(18),24613(23),24613(24),24613(25),24756(25),24613(19),26248(19),24613(11),25669(11),24613(1),24613(2)]),flip(a)]. 26415 f(x,f(f(x,y),f(z,f(x,z)))) = f(x,y) # label(false). [para(11(a,1),26407(a,1,1)),rewrite([24613(1),24613(2),24613(4),543(4),24613(2),24613(6)])]. 26419 f(f(f(x,f(y,y)),f(y,f(y,z))),f(f(x,f(y,y)),f(c_0,f(y,f(x,f(x,f(y,z))))))) = f(x,f(y,y)) # label(false). [para(24650(a,1),26407(a,1,2,2,2)),rewrite([24613(13),24613(15)])]. 26420 f(f(x,y),f(y,f(z,f(z,f(x,y))))) = y # label(false). [para(24613(a,1),26407(a,1,1)),rewrite([24613(2)])]. 26421 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(x,z)))) = c_0 # label(false). [para(26407(a,1),24622(a,1,2,2,2)),rewrite([24613(7)])]. 26505 f(x,f(c_0,f(f(x,x),f(y,z)))) = c_0. [para(12170(a,1),26378(a,1,2,2,2))]. 26511 f(x,f(f(x,y),f(f(x,x),f(z,u)))) = f(x,y). [para(26505(a,1),26415(a,1,2,2,2)),rewrite([24613(8),10913(8)])]. 26518 f(x,f(f(x,x),f(y,z))) = f(x,x). [para(26505(a,1),25046(a,1,2,2,2)),rewrite([9899(7),24613(7),10791(7),26505(10),9899(6)])]. 26522 f(f(x,x),f(f(c_0,f(x,y)),f(f(x,x),f(z,u)))) = x. [para(26518(a,1),18865(a,1,1)),rewrite([26518(10),9849(8),24613(6),24613(8),26518(14),9849(12)])]. 26578 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(z,f(x,z)))) = c_0 # label(false). [para(24885(a,1),26421(a,1,1,2,2,2)),rewrite([24613(3),24885(14),24613(9),7716(9),24613(9)])]. 26622 f(f(x,y),f(f(z,f(z,f(x,y))),f(c_0,f(y,f(x,f(x,y)))))) = f(c_0,f(y,f(x,f(x,y)))) # label(false). [para(25284(a,1),26420(a,1,1)),rewrite([25284(12),24613(10)])]. 26644 f(f(c_0,f(x,f(y,z))),f(c_0,f(u,f(c_0,f(y,z))))) = c_0. [para(12170(a,1),26376(a,1,1,2,2)),rewrite([24613(9)])]. 27135 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(x,z))). [para(24194(a,1),11(a,1,1)),rewrite([9899(11,R),24613(7),10913(7)]),flip(a)]. 27148 f(f(x,x),f(c_0,f(f(x,y),f(x,z)))) = x. [para(24194(a,1),26177(a,1,2,2)),rewrite([24613(7),9899(7),24613(7),24194(15)])]. 27179 f(f(c_0,f(x,y)),f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(11(a,1),27148(a,1,2,2,1)),rewrite([9899(3,R),24613(3),24613(6)])]. 27297 f(f(x,f(y,x)),f(x,f(z,f(y,x)))) = x. [para(11(a,1),24726(a,1,1,2)),rewrite([24613(2),11(7),24613(5),11(9)])]. 27301 f(f(x,f(x,y)),f(x,f(z,f(x,y)))) = x. [para(15153(a,1),24726(a,1,1,2)),rewrite([24613(2),15153(8),24613(5),15153(10)])]. 27357 f(c_0,f(x,f(f(x,y),f(x,z)))) = f(f(x,y),f(x,z)). [para(24194(a,1),27297(a,1,2,2)),rewrite([18622(9),24613(5)])]. 27823 f(f(f(x,y),f(f(x,x),f(z,f(x,x)))),f(f(x,y),f(c_0,f(f(x,x),f(y,f(y,f(z,f(x,x)))))))) = f(x,y) # label(false). [para(24982(a,1),26407(a,1,2,2,2)),rewrite([24613(15),24613(17)])]. 27943 f(f(x,x),f(c_0,f(y,f(y,f(z,x))))) = c_0. [para(11(a,1),25611(a,1,2,2)),rewrite([24613(7),9899(7),24613(7)])]. 28089 f(f(c_0,f(x,f(x,y))),f(f(z,f(z,x)),f(x,y))) = c_0 # label(false). [para(26188(a,1),27943(a,1,2,2,2)),rewrite([9899(13,R),24613(8),10913(8),24613(9)])]. 28208 f(x,f(f(y,f(y,x)),f(x,z))) = f(x,z) # label(false). [para(28089(a,1),24966(a,1,2,2,2,2,2)),rewrite([9899(11,R),24613(11),24613(12),20605(12),24613(13),10913(13),15153(10),24613(7),9899(7),9849(7),24613(5)])]. 29596 f(f(x,f(y,f(y,x))),f(f(z,f(z,f(y,x))),f(f(y,x),f(c_0,f(x,f(y,f(y,x))))))) = c_0 # label(false). [para(26622(a,1),26578(a,1,2,1,2)),rewrite([26622(12),10913(7),24613(12),24613(14)])]. 30737 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(x,z)))) = x. [para(11(a,1),24806(a,1,1,2)),rewrite([24613(2),11(7),24613(5),11(11)])]. 30846 f(c_0,f(x,f(f(y,x),f(x,z)))) = f(f(y,x),f(x,z)). [para(30737(a,1),27297(a,1,2,2)),rewrite([18622(9),24613(5)])]. 32225 f(f(c_0,f(x,y)),f(f(x,x),f(z,u))) = f(x,y). [para(26522(a,1),25692(a,1,2,2,2)),rewrite([24613(14),26518(14),24613(12),26522(12),24613(4),10791(4)]),flip(a)]. 32226 f(f(x,y),f(c_0,f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(26522(a,1),24680(a,1,2,1,2,2,1)),rewrite([32225(7),32225(14),32225(16),543(11),24613(9),543(10),24613(7),9899(7),9222(7),24613(7),10913(8),9899(11,R),24613(9),32225(18),543(13),32225(19),32225(21),543(16),24613(14),543(15),24613(12),9899(12),9222(12),24613(13),543(13),24613(6)])]. 32233 f(f(x,y),f(y,f(x,f(x,f(f(x,z),f(f(x,y),f(x,z))))))) = y. [back_rewrite(25546),rewrite([32225(20),7716(11)])]. 32296 f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,y),f(f(x,x),f(z,f(x,x))))) = f(x,y) # label(false). [back_rewrite(27823),rewrite([32226(16),24613(13)])]. 32315 f(f(x,x),f(f(y,z),f(c_0,f(x,u)))) = x. [para(11(a,1),32225(a,1,1,2)),rewrite([24613(2),9899(2),24613(2),24613(3),9899(4,R),24613(4),24613(6),24613(8),24613(10),543(10)])]. 32317 f(f(x,f(y,y)),f(c_0,f(y,z))) = f(y,z). [para(11(a,1),32225(a,1,2,2)),rewrite([24613(5),24613(6)])]. 32319 f(f(x,y),f(f(x,y),f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(32225(a,1),15203(a,1,1)),rewrite([32225(11),24613(6)])]. 32415 f(f(x,f(y,f(y,f(x,z)))),f(f(y,f(x,x)),f(x,f(x,z)))) = f(y,f(x,x)) # label(false). [back_rewrite(26419),rewrite([32317(14),24613(10)])]. 32448 f(f(x,x),f(y,f(c_0,f(x,z)))) = x. [para(11(a,1),32315(a,1,2,1))]. 32456 f(f(x,x),f(f(c_0,f(x,y)),f(c_0,f(z,u)))) = x. [para(18865(a,1),32315(a,1,2,1)),rewrite([24613(8)])]. 32517 f(x,f(c_0,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(32448(a,1),11(a,1,1)),rewrite([9899(9,R),24613(6)])]. 32519 f(f(x,f(y,y)),f(c_0,f(z,y))) = f(z,y). [para(11(a,1),32448(a,1,2,2,2)),rewrite([9899(3,R),24613(3),24613(5),9899(5),24613(6)])]. 32522 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(y,z)))) = f(u,f(y,z)). [para(12170(a,1),32448(a,1,2,2,2)),rewrite([9899(5,R),24613(4),24613(9)])]. 32544 f(f(x,y),f(x,f(x,f(c_0,f(y,z))))) = x. [para(32448(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. 32575 f(f(f(x,f(x,y)),f(y,z)),f(f(y,f(y,z)),f(x,f(c_0,f(y,z))))) = f(x,f(c_0,f(y,z))) # label(false). [back_rewrite(26187),rewrite([32522(11),32517(11),26177(18)])]. 32800 f(f(x,x),f(y,f(c_0,f(z,x)))) = x. [para(11(a,1),32317(a,1,2,2)),rewrite([9899(3,R),24613(3),24613(6),9899(6),24613(6),11(9)])]. 32801 f(f(x,y),f(c_0,f(z,f(x,x)))) = f(z,f(x,x)). [para(32317(a,1),543(a,1,2)),rewrite([9899(5,R),24613(4),24613(6)])]. 32902 f(f(x,f(c_0,f(y,z))),f(z,f(x,f(c_0,f(y,z))))) = z. [para(32800(a,1),26180(a,1,2,2)),rewrite([24613(9),32800(16)])]. 32917 f(f(x,y),f(x,f(x,f(c_0,f(z,y))))) = x. [para(32800(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. 33032 f(f(x,x),f(y,f(f(x,z),f(x,u)))) = x. [para(24194(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(6),9899(6),24613(6),24194(14)])]. 33047 f(f(x,x),f(y,f(f(z,x),f(x,u)))) = x. [para(30737(a,1),32519(a,1,2,2)),rewrite([9899(11,R),24613(7),10913(7),24613(6),9899(6),24613(6),30737(14)])]. 33057 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(u,x)))))) = x. [para(32800(a,1),32519(a,1,2,2)),rewrite([9899(9,R),24613(6),24613(9),9899(9),24613(9),32800(15)])]. 33384 f(f(x,f(x,f(y,y))),f(x,f(y,z))) = x. [para(15153(a,1),32544(a,1,2,2,2,2)),rewrite([24613(4),9899(4),24613(6)])]. 33474 f(f(x,f(x,y)),f(x,f(f(y,y),f(z,u)))) = x. [para(26518(a,1),32917(a,1,2,2,2,2)),rewrite([9849(7),24613(7)])]. 33512 f(x,f(x,f(y,f(f(x,z),f(x,u))))) = f(y,f(f(x,z),f(x,u))). [para(33032(a,1),15203(a,1,1)),rewrite([33032(10),24613(5)])]. 33573 f(f(x,y),f(y,f(f(x,z),f(f(x,y),f(x,z))))) = y. [back_rewrite(32233),rewrite([33512(8)])]. 33760 f(f(x,y),f(x,f(x,f(f(z,y),f(y,u))))) = x. [para(33047(a,1),27301(a,1,2,2)),rewrite([24613(7)])]. 33963 f(f(f(x,y),f(f(y,y),f(z,f(y,y)))),f(f(y,y),f(x,f(x,f(z,f(y,y)))))) = f(x,y) # label(false). [para(24613(a,1),32296(a,1,1)),rewrite([24613(6),24613(7),24613(13),24613(14)])]. 35994 f(f(x,f(y,y)),f(f(y,z),f(f(y,y),f(f(y,y),f(z,f(z,f(x,f(y,y)))))))) = f(y,z) # label(false). [para(33963(a,1),32415(a,1,1,2,2)),rewrite([24613(2),24613(8),24613(9),32319(9),26180(6),24613(3),9899(11,R),24613(11),9849(11),24613(9),26511(9),24613(14),9899(22,R),24613(22),9849(22),24613(20),26511(20)])]. 36523 f(f(x,f(c_0,f(y,f(c_0,f(z,u))))),f(c_0,f(f(w,v5),f(z,u)))) = f(f(w,v5),f(z,u)). [para(26249(a,1),33057(a,1,2,2,2,2,2)),rewrite([9899(7,R),24613(5),24613(13)])]. 36796 f(x,f(f(y,f(c_0,f(x,z))),f(f(x,z),f(f(x,z),f(y,f(x,y)))))) = f(y,f(c_0,f(x,z))) # label(false). [para(32448(a,1),35994(a,1,1)),rewrite([24613(4),9899(11,R),24613(9),10913(9),9899(12,R),24613(10),10913(10),9899(14,R),24613(12),10913(12),543(9),24613(7),24613(16)])]. 37135 f(x,f(f(x,y),f(y,z))) = f(x,y). [para(33760(a,1),26407(a,1,2)),rewrite([24613(4)])]. 37351 f(x,f(y,f(x,f(z,y)))) = f(x,f(z,y)). [para(11(a,1),37135(a,1,2,2)),rewrite([24613(3)])]. 37352 f(x,f(y,f(x,f(y,z)))) = f(x,f(y,z)). [para(15153(a,1),37135(a,1,2,2)),rewrite([24613(3)])]. 37556 f(x,f(f(x,y),f(z,f(c_0,f(y,u))))) = f(x,y). [para(32448(a,1),37351(a,1,2,2,2)),rewrite([24613(6),32448(13)])]. 37558 f(x,f(f(x,y),f(z,f(c_0,f(u,y))))) = f(x,y). [para(32800(a,1),37351(a,1,2,2,2)),rewrite([24613(6),32800(13)])]. 37572 f(x,f(y,f(x,f(x,f(y,y))))) = f(x,x). [para(33384(a,1),37351(a,1,2)),flip(a)]. 37904 f(x,f(y,f(y,f(x,x)))) = f(x,f(y,y)). [para(37572(a,1),37352(a,1,2)),flip(a)]. 38050 f(f(x,x),f(y,f(x,y))) = f(f(x,x),f(y,y)). [para(11(a,1),37904(a,1,2,2,2)),rewrite([24613(2)])]. 38056 f(x,f(f(x,y),f(f(x,f(z,z)),f(z,f(z,f(x,x)))))) = f(x,y) # label(false). [para(37904(a,1),26415(a,1,2,2,2)),rewrite([24613(7)])]. 38238 f(f(x,y),f(y,f(f(z,f(z,f(c_0,f(x,y)))),f(f(x,y),f(z,z))))) = y # label(false). [para(11(a,1),38056(a,1,2,1)),rewrite([9899(7,R),24613(7),24613(10),11(15)])]. 38300 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(z,z),f(f(z,z),f(c_0,f(x,y))))))) = y # label(false). [para(11(a,1),38238(a,1,2,2,2,2)),rewrite([24613(10),24613(11)])]. 39697 f(f(x,y),f(x,f(c_0,f(y,z)))) = f(c_0,f(x,y)). [para(37556(a,1),37352(a,1,2)),rewrite([9899(3,R),24613(3)]),flip(a)]. 40466 f(x,f(x,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(37558(a,1),15203(a,1,2)),rewrite([24613(5),24613(10),32902(10),24613(5)])]. 40645 f(f(x,f(x,y)),f(y,y)) = f(f(x,x),f(y,y)). [para(38050(a,1),24613(a,2)),rewrite([24613(1),24613(7)])]. 40654 f(f(c_0,f(x,y)),f(c_0,f(y,f(z,f(c_0,f(x,y)))))) = f(f(c_0,f(x,y)),f(z,f(c_0,f(x,y)))). [para(26396(a,1),38050(a,1,2,2)),rewrite([9899(3,R),24613(3),24613(9),40466(9),9899(11,R),24613(11),9899(22,R),24613(18)]),flip(a)]. 41403 f(f(x,y),f(y,f(z,f(x,x)))) = f(c_0,f(y,f(z,f(x,x)))). [para(32519(a,1),39697(a,1,2)),rewrite([24613(3),24613(4),24613(5),24613(9)])]. 41777 f(f(c_0,f(x,y)),f(f(z,z),f(x,x))) = f(x,y). [para(40645(a,1),32317(a,1,1)),rewrite([24613(7)])]. 41819 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(y,z)))) = f(f(x,x),f(c_0,f(f(x,y),f(y,z)))). [para(37135(a,1),40645(a,1,1,2)),rewrite([9899(9,R),24613(7),9899(16,R),24613(14)])]. 42729 f(f(c_0,f(x,f(c_0,f(y,z)))),f(c_0,f(f(c_0,f(x,u)),f(c_0,f(y,z))))) = f(f(c_0,f(x,u)),f(c_0,f(y,z))). [para(32456(a,1),27179(a,1,2,2,2)),rewrite([24613(14),24613(16)])]. 42739 f(f(c_0,f(x,y)),f(c_0,f(y,z))) = f(x,f(c_0,f(y,z))). [para(39697(a,1),27179(a,1,2,2,2)),rewrite([24613(14),42729(16)])]. 42744 f(x,f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(27179(a,1),41777(a,1,1,2)),rewrite([9899(11,R),24613(9),10913(9),24613(6),26248(7),42739(10)]),flip(a)]. 42764 f(f(c_0,f(x,y)),f(z,f(c_0,f(x,y)))) = f(x,f(c_0,f(y,f(z,f(c_0,f(x,y)))))). [back_rewrite(40654),rewrite([42739(11)]),flip(a)]. 43126 f(x,f(c_0,f(y,f(z,f(y,x))))) = f(y,x). [para(42744(a,1),24613(a,2)),rewrite([24613(2),24613(6),24613(7)])]. 43151 f(f(x,x),f(c_0,f(f(x,y),f(z,u)))) = f(f(x,x),f(z,u)). [para(32225(a,1),42744(a,1,2,2,2)),rewrite([24613(5)])]. 43256 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(y,z)))) = f(f(x,x),f(y,z)). [back_rewrite(41819),rewrite([43151(15)])]. 43337 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(x,y))). [para(32800(a,1),43126(a,1,2,2,2)),rewrite([24613(5),42739(7)])]. 43343 f(f(c_0,f(x,y)),f(f(x,z),f(x,u))) = f(y,f(f(x,z),f(x,u))). [para(33032(a,1),43126(a,1,2,2,2)),rewrite([24613(5),24613(7)])]. 43450 f(f(x,x),f(c_0,f(y,f(x,z)))) = f(y,f(x,x)). [para(11(a,1),43337(a,1,2,2)),rewrite([24613(2),9899(2),24613(5)]),flip(a)]. 43465 f(f(x,y),f(c_0,f(z,f(y,f(x,y))))) = f(z,f(y,y)). [para(15203(a,1),43337(a,2,2,2)),rewrite([24613(5),24613(9),9899(9)])]. 43484 f(f(c_0,f(x,y)),f(x,f(c_0,f(y,f(z,f(c_0,f(x,y))))))) = f(y,f(c_0,f(x,z))). [para(43337(a,1),26180(a,2)),rewrite([42764(11),24613(14)])]. 43796 f(f(x,f(y,f(x,y))),f(f(x,f(y,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(43337(a,2),29596(a,1,2,2)),rewrite([24613(1),24613(4),24613(8),24613(10),24613(11),15203(11),24613(8),9899(8),24613(9)])]. 43989 f(f(x,y),f(y,f(f(z,f(x,y)),f(f(z,z),f(y,f(c_0,f(x,f(z,z)))))))) = y # label(false). [para(43337(a,1),38300(a,1,2,2,2,2)),rewrite([24613(7)])]. 44134 f(c_0,f(f(x,y),f(x,f(c_0,f(z,u))))) = f(x,f(f(x,y),f(z,f(c_0,f(x,u))))). [para(43337(a,2),27135(a,2,2,1)),rewrite([24613(7),24613(10),24613(14)])]. 45033 f(f(c_0,f(x,y)),f(c_0,f(z,u))) = f(y,f(c_0,f(x,f(c_0,f(z,u))))). [para(25327(a,1),32415(a,1,1,2,2,2)),rewrite([9899(6),9222(6),24613(6),9899(15,R),24613(12),25327(43),24613(19),24613(20),42764(20),43484(21),24613(7),9899(16,R),24613(13)])]. 45042 f(x,f(c_0,f(y,f(c_0,f(z,f(y,x)))))) = c_0. [para(26644(a,1),25327(a,1,2,2,2,2,2,2,2)),rewrite([10913(6),10913(9),24613(13),45033(13),10913(19),24613(21),10913(21),36523(20),26180(10),45033(8)])]. 45439 f(f(f(x,y),f(z,f(z,f(x,f(y,y))))),f(x,f(f(y,y),f(x,f(y,y))))) = c_0 # label(false). [para(11(a,1),43796(a,1,2,1,2)),rewrite([24613(12)])]. 46110 f(x,f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(27135(a,1),45042(a,1,2,2,2)),rewrite([24613(3),24613(4)])]. 47073 f(f(f(x,y),f(y,z)),f(f(x,f(x,y)),f(y,f(y,f(f(x,y),f(y,z)))))) = c_0 # label(false). [para(46110(a,1),32575(a,1,2,2)),rewrite([7716(14),24613(14),30846(14),24613(12),46110(20)])]. 47159 f(f(f(x,f(x,y)),f(y,z)),f(f(y,y),f(f(x,x),f(y,y)))) = f(y,z) # label(false). [para(28208(a,1),43989(a,1,2,2,1)),rewrite([40645(13),32801(14),32319(13)])]. 47189 f(f(x,f(y,f(y,f(z,x)))),f(z,f(c_0,f(x,f(f(y,y),f(c_0,f(z,x))))))) = x # label(false). [para(11(a,1),47159(a,1,1,2)),rewrite([24613(4),9899(7,R),24613(7),9899(11,R),24613(11),42764(13),11(17)])]. 47311 f(c_0,f(x,f(f(x,y),f(z,f(c_0,f(x,u)))))) = f(f(x,y),f(z,f(c_0,f(x,u)))). [para(36796(a,1),27357(a,1,2,2,1)),rewrite([24613(7),36796(21),24613(15)])]. 50135 f(f(x,x),f(y,f(z,f(z,f(x,y))))) = f(f(x,x),f(y,y)) # label(false). [para(47189(a,1),43450(a,1,2,2)),rewrite([24613(3),9899(3),24613(9)]),flip(a)]. 51127 f(f(x,y),f(x,f(y,y))) = f(c_0,f(x,f(y,f(x,y)))). [para(26178(a,1),25800(a,1,2,2,2,2,2,2)),rewrite([26178(7),24613(7),9849(7),24613(5),43465(8),26178(9),26178(12),24613(9),9849(9),24613(7)])]. 51128 f(c_0,f(x,f(f(y,y),f(x,f(y,y))))) = f(c_0,f(x,f(y,f(x,y)))). [para(24727(a,1),25800(a,1,2,2,2,2,2,2)),rewrite([10812(9),9899(9),24613(9),43465(12),9899(5,R),24613(5),9849(5),24613(4),51127(4),10812(10),24613(13),24727(14),9899(10),24613(10)]),flip(a)]. 51174 f(f(x,f(y,f(y,f(x,z)))),f(z,z)) = f(f(x,x),f(z,z)) # label(false). [para(50135(a,1),24613(a,2)),rewrite([24613(1),24613(9)])]. 51422 f(x,f(f(y,y),f(x,f(y,y)))) = f(x,f(y,f(x,y))). [para(45439(a,1),33573(a,1,1)),rewrite([24613(13),45439(25),24613(21),18622(23),24613(8),51128(8),10913(7)]),flip(a)]. 51542 f(f(f(x,x),f(y,z)),f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0 # label(false). [para(47073(a,1),51174(a,1,1,2,2)),rewrite([24613(7),43256(8),9899(14,R),24613(10),9899(16,R),24613(15),9899(26,R),24613(22),45033(23),46110(21),9870(16)])]. 52270 f(f(x,f(y,z)),f(c_0,f(y,f(y,f(f(y,z),f(y,f(x,x))))))) = c_0 # label(false). [para(11(a,1),51542(a,1,1,1)),rewrite([24613(5),24613(7)])]. 52514 f(f(c_0,f(x,f(y,f(x,z)))),f(x,f(f(x,z),f(x,f(y,y))))) = c_0 # label(false). [para(52270(a,1),43337(a,1)),rewrite([24613(10),24613(12)]),flip(a)]. 61357 f(c_0,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(52514(a,1),51422(a,2,2,2)),rewrite([9899(16,R),24613(12),27357(12),9899(25,R),24613(21),27357(21),43343(19),41403(16),18622(16),24613(7),10913(7),24613(15),27357(15),43343(13),41403(10)]),flip(a)]. 61724 f(x,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(61357(a,2),10791(a,1,2,2)),rewrite([10913(8)])]. 61763 f(c_0,f(f(x,y),f(x,f(c_0,f(z,u))))) = f(x,f(f(x,y),f(z,u))). [para(33474(a,1),61357(a,1,2,2,2)),rewrite([9899(5,R),24613(5),9899(11,R),24613(11),9899(14,R),24613(14),24613(16),18622(16),24613(13),10913(13),24613(11)])]. 61888 f(x,f(f(x,y),f(z,f(c_0,f(x,u))))) = f(x,f(f(x,y),f(z,u))). [back_rewrite(44134),rewrite([61763(8)]),flip(a)]. 61899 f(f(x,y),f(z,f(c_0,f(x,u)))) = f(c_0,f(x,f(f(x,y),f(z,u)))). [back_rewrite(47311),rewrite([61888(8)]),flip(a)]. 63019 f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # label(false). [para(43450(a,2),61724(a,1,2,1)),rewrite([24613(9),61899(9),543(6),24613(4),10791(7)])]. 63020 $F # answer(MOD_SS). [resolve(63019,a,3,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=1791. Generated=5325086. Kept=63018. proofs=1. Usable=931. Sos=18113. Demods=18764. Limbo=31, Disabled=43944. Hints=0. Kept_by_rule=0, Deleted_by_rule=505594. Forward_subsumed=4227684. Back_subsumed=7664. Sos_limit_deleted=528790. Sos_displaced=0. Sos_removed=0. New_demodulators=62518 (3 lex), Back_demodulated=36278. Back_unit_deleted=0. Demod_attempts=257566438. Demod_rewrites=44245497. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=0. Nonunit_bsub_feature_tests=0. Megabytes=67.77. User_CPU=698.29, System_CPU=1.84, Wall_clock=706. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED Exiting with 1 proof. Process 6693 exit (max_proofs) Tue Nov 3 10:34:54 2009