============================== Prover9 =============================== Prover9 (32) version September-2006, September 2006. Process 27534 was started by mccune on cleo.thornwood, Wed Sep 13 15:18:45 2006 The command was "/home/mccune/LADR/bin/prover9 -f MOL-M.in MOL-M-interp.outs". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file MOL-M.in assign(max_weight,60). assign(new_constants,1). set(lex_order_vars). set(restrict_denials). assign(max_hours,1). % assign(max_hours, 1) -> assign(max_seconds, 3600). assign(age_part,1). assign(false_part,4). assign(true_part,4). 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.outs list(interpretations). interpretation(10,[number = 1,seconds = 0],[function(A,[2]),function(B,[3]),function(C,[4]),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(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: Relation symbol precedence: lex([ = ]). Function symbol precedence: lex([ c1, c2, c3, f ]). After inverse_order: (no changes). Unfolding symbols: (none). Auto_inference settings: % set(paramodulation). % (positive equality literals) % set(paramodulation) -> set(back_demod). Auto_process settings: (no changes). restricted denial: (wt=19): 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 0.00 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 (F,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 #3 (F,wt=41): 8 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(2(a,1),7(a,1,1,2)),rewrite(2(12),2(12),2(14),2(17),2(30))]. given #4 (F,wt=13): 12 f(f(x,y),f(f(f(y,y),z),y)) = y. [para(2(a,1),8(a,1,2,2))]. given #5 (F,wt=9): 20 f(f(x,y),f(y,y)) = y. [para(2(a,1),12(a,1,2,1))]. given #6 (T,wt=11): 46 f(f(x,f(y,y)),y) = f(y,y). [para(20(a,1),7(a,1,2,2,1)),rewrite(20(5),20(5))]. given #7 (T,wt=11): 55 f(f(f(x,x),y),x) = f(x,x). [para(12(a,1),20(a,1,1)),rewrite(12(7)),flip(a)]. given #8 (T,wt=9): 77 f(f(x,y),f(x,x)) = x. [para(20(a,1),55(a,1,1,1)),rewrite(20(6))]. given #9 (T,wt=13): 82 f(x,f(f(y,x),f(y,x))) = f(y,x). [para(2(a,1),77(a,1,1))]. given #10 (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,v)))) = y. [para(2(a,1),2(a,1,2,1))]. given #11 (F,wt=33): 44 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(20(a,1),7(a,1,2,2,1,1,1,1))]. given #12 (F,wt=45): 62 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(46(a,1),7(a,1,2,2,1,1,1,1))]. given #13 (F,wt=13): 91 f(x,f(f(x,y),f(x,y))) = f(x,y). [para(77(a,1),77(a,1,1))]. given #14 (F,wt=15): 57 f(f(x,y),f(y,f(f(y,y),f(y,z)))) = y. [back_rewrite(37),rewrite(46(7))]. given #15 (T,wt=15): 139 f(f(x,y),f(y,f(f(y,y),f(z,y)))) = y. [para(82(a,1),57(a,1,2,2,2))]. given #16 (T,wt=17): 135 f(x,f(f(x,x),f(x,f(f(x,x),y)))) = f(x,x). [para(20(a,1),57(a,1,1)),rewrite(77(4))]. given #17 (T,wt=17): 156 f(x,f(f(x,x),f(x,f(y,f(x,x))))) = f(x,x). [para(20(a,1),139(a,1,1)),rewrite(77(4))]. given #18 (T,wt=21): 40 f(f(x,f(y,y)),f(f(y,y),f(y,f(f(y,y),z)))) = f(y,y). [para(20(a,1),2(a,1,2,2,1)),rewrite(20(5))]. given #19 (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)),v),f(f(f(f(x,v),v),f(z,x)),f(f(z,x),w)))) = f(z,x). [para(2(a,1),2(a,1,2,2,1,1,1,1))]. given #20 (F,wt=21): 69 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))) = x. [para(55(a,1),2(a,1,2,2,1,1))]. given #21 (F,wt=21): 136 f(f(x,f(f(x,x),f(x,y))),f(x,f(f(x,x),f(x,y)))) = x. [para(57(a,1),55(a,1)),flip(a)]. given #22 (F,wt=13): 219 f(x,f(f(x,x),f(x,y))) = f(x,x). [para(136(a,1),20(a,1,1)),rewrite(136(9)),flip(a)]. given #23 (F,wt=13): 230 f(f(x,x),f(x,f(f(x,x),y))) = x. [para(20(a,1),219(a,1,2,1)),rewrite(77(8))]. given #24 (T,wt=13): 233 f(x,f(f(x,x),f(y,x))) = f(x,x). [para(82(a,1),219(a,1,2,2))]. given #25 (T,wt=13): 244 f(f(x,x),f(x,f(y,f(x,x)))) = x. [para(82(a,1),230(a,1,2,2))]. given #26 (T,wt=19): 261 f(f(f(f(x,x),x),f(f(x,x),x)),x) = f(f(x,x),x). [para(44(a,1),244(a,1,2,2)),rewrite(173(13),55(14),77(11)),flip(a)]. given #27 (T,wt=21): 210 f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(x,x)) = x. [para(69(a,1),82(a,1,2,1)),rewrite(69(16),69(18))]. given #28 (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,v)))) = y. [para(2(a,1),2(a,1,2,2,1,1,1))]. given #29 (F,wt=21): 211 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))) = x. [para(82(a,1),69(a,1,2,2,2))]. given #30 (F,wt=21): 226 f(f(x,y),f(f(f(x,y),f(x,y)),y)) = f(f(x,y),f(x,y)). [para(2(a,1),219(a,1,2,2))]. given #31 (F,wt=21): 232 f(f(x,y),f(f(f(x,y),f(x,y)),x)) = f(f(x,y),f(x,y)). [para(77(a,1),219(a,1,2,2))]. given #32 (F,wt=21): 262 f(f(f(x,f(x,x)),f(x,f(x,x))),f(x,x)) = f(x,f(x,x)). [para(62(a,1),244(a,1,2,2)),rewrite(77(3),77(5),77(10),77(12),174(15),77(8),77(10),77(15),55(15),77(11),77(5),77(7)),flip(a)]. given #33 (T,wt=21): 275 f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(x,x)) = x. [para(82(a,1),210(a,1,1,2,2))]. given #34 (T,wt=23): 207 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y)))) = f(x,x). [para(20(a,1),69(a,1,1)),rewrite(77(3),77(5))]. given #35 (T,wt=23): 239 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(x,z)))) = x. [para(230(a,1),2(a,1,2,2,1,1,1)),rewrite(230(6))]. given #36 (T,wt=23): 257 f(f(x,x),f(x,f(f(f(x,f(x,f(y,f(x,x)))),x),f(x,z)))) = x. [para(244(a,1),2(a,1,2,2,1,1,1)),rewrite(244(6))]. given #37 (A,wt=49): 9 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),x))) = f(z,x). [para(2(a,1),7(a,1,2,2,1,1,1,1))]. given #38 (F,wt=23): 272 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(f(x,x),y))),x) = f(x,x). [para(20(a,1),210(a,1,1,1,1)),rewrite(77(5),77(11))]. given #39 (F,wt=23): 292 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x))))) = f(x,x). [para(20(a,1),211(a,1,1)),rewrite(77(3),77(5))]. given #40 (F,wt=23): 312 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),x) = f(x,x). [para(20(a,1),275(a,1,1,1,1)),rewrite(77(5),77(11))]. given #41 (F,wt=23): 320 f(f(x,x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(82(a,1),239(a,1,2,2,2))]. given #42 (T,wt=17): 347 f(f(x,x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(82(a,1),320(a,1,2))]. given #43 (T,wt=17): 356 f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),x)) = x. [para(82(a,1),347(a,1,2,1,2,2))]. given #44 (T,wt=21): 355 f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,x))) = f(x,x). [para(20(a,1),347(a,1,1)),rewrite(77(5))]. given #45 (T,wt=21): 364 f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,x))) = f(x,x). [para(20(a,1),356(a,1,1)),rewrite(77(5))]. given #46 (A,wt=59): 10 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(f(f(y,z),w),v),v),f(y,z)),z))))) = f(y,z). [para(7(a,1),7(a,1,1,2)),rewrite(7(17),7(18),7(21),7(25),7(42))]. given #47 (F,wt=23): 327 f(f(x,x),f(x,f(f(f(x,f(x,f(y,f(x,x)))),x),f(z,x)))) = x. [para(82(a,1),257(a,1,2,2,2))]. given #48 (F,wt=25): 39 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(20(a,1),2(a,1,2,2,1,1,1))]. given #49 (F,wt=19): 404 f(x,f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(275(a,1),39(a,1,2,2,1)),rewrite(20(4),77(3),82(6))]. given #50 (F,wt=19): 405 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(x,y)))) = x. [para(312(a,1),39(a,1,2,2,1)),rewrite(46(3),82(8))]. given #51 (T,wt=19): 412 f(f(f(f(x,x),x),f(x,f(f(x,x),y))),x) = f(x,x). [para(404(a,1),82(a,1,2,1)),rewrite(404(14),77(9),404(14))]. given #52 (T,wt=19): 413 f(x,f(f(f(x,x),x),f(x,f(y,f(x,x))))) = f(x,x). [para(82(a,1),404(a,1,2,2,2))]. given #53 (T,wt=19): 426 f(f(f(x,f(x,x)),f(f(x,x),f(x,y))),f(x,x)) = x. [para(405(a,1),82(a,1,2,1)),rewrite(405(14),405(16))]. given #54 (T,wt=19): 427 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),f(y,x)))) = x. [para(82(a,1),405(a,1,2,2,2))]. given #55 (A,wt=59): 11 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),f(f(y,z),w)))))) = f(y,z). [para(2(a,1),8(a,1,2,2,2,2,1,1,1,1))]. given #56 (F,wt=19): 430 f(f(f(f(x,x),x),f(x,f(y,f(x,x)))),x) = f(x,x). [para(82(a,1),412(a,1,1,2,2))]. given #57 (F,wt=19): 439 f(f(f(x,f(x,x)),f(f(x,x),f(y,x))),f(x,x)) = x. [para(82(a,1),426(a,1,1,2,2))]. given #58 (F,wt=21): 392 f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(x,y)))) = x. [para(55(a,1),39(a,1,2,2,1)),rewrite(77(6))]. given #59 (F,wt=19): 476 f(f(f(f(x,x),x),f(f(x,x),f(x,y))),f(x,x)) = x. [para(392(a,1),82(a,1,2,1)),rewrite(392(15),392(17))]. given #60 (T,wt=19): 487 f(f(f(x,f(x,x)),f(x,f(f(x,x),y))),x) = f(x,x). [para(20(a,1),476(a,1,1,1,1)),rewrite(77(5),77(9))]. given #61 (T,wt=19): 490 f(f(f(f(x,x),x),f(f(x,x),f(y,x))),f(x,x)) = x. [para(82(a,1),476(a,1,1,2,2))]. given #62 (T,wt=19): 498 f(f(f(x,f(x,x)),f(x,f(y,f(x,x)))),x) = f(x,x). [para(82(a,1),487(a,1,1,2,2))]. given #63 (T,wt=21): 477 f(f(f(x,x),x),f(f(f(x,x),x),f(f(x,x),f(y,x)))) = x. [para(82(a,1),392(a,1,2,2,2))]. given #64 (A,wt=57): 13 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(f(f(y,y),w),f(f(f(f(f(y,v6),w),w),y),f(y,v7)))))))) = y. [para(8(a,1),7(a,1,1,2)),rewrite(8(20),8(20),8(22),8(25),8(46))]. given #65 (F,wt=21): 499 f(f(x,x),f(x,f(f(x,f(x,x)),f(x,f(f(x,x),y))))) = x. [para(487(a,1),232(a,1,1)),rewrite(487(8),487(9),77(4),487(16),487(17),77(12))]. given #66 (F,wt=21): 513 f(f(x,x),f(x,f(f(x,f(x,x)),f(x,f(y,f(x,x)))))) = x. [para(498(a,1),232(a,1,1)),rewrite(498(8),498(9),77(4),498(16),498(17),77(12))]. given #67 (F,wt=23): 395 f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(f(x,x),y)))) = f(x,x). [para(77(a,1),39(a,1,2,2,1)),rewrite(77(5))]. given #68 (F,wt=23): 479 f(x,f(f(x,x),f(f(f(x,x),x),f(f(x,x),f(x,y))))) = f(x,x). [para(392(a,1),226(a,1,1)),rewrite(392(9),392(9),392(18),392(18))]. given #69 (T,wt=23): 506 f(x,f(f(x,x),f(f(f(x,x),x),f(f(x,x),f(y,x))))) = f(x,x). [para(490(a,1),232(a,1,1)),rewrite(490(8),490(8),490(17),490(17))]. given #70 (T,wt=23): 520 f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,f(y,f(x,x))))) = f(x,x). [para(20(a,1),477(a,1,1,1)),rewrite(77(5),77(7))]. given #71 (T,wt=25): 60 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(46(a,1),2(a,1,2,2,1,1,1))]. given #72 (T,wt=23): 577 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))),f(x,x)) = x. [para(60(a,1),82(a,1,2,1)),rewrite(60(19),60(21))]. given #73 (A,wt=31): 35 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(20(a,1),2(a,1,1)),rewrite(20(3))]. given #74 (F,wt=23): 594 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))),f(x,x)) = x. [para(82(a,1),577(a,1,1,2,2))]. given #75 (F,wt=25): 96 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(82(a,1),2(a,1,2,2,2))]. given #76 (F,wt=25): 97 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),82(a,1,2,1)),rewrite(2(20),2(22))]. given #77 (F,wt=25): 190 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(20(a,1),5(a,1,2,1,1)),rewrite(97(11))]. given #78 (T,wt=25): 397 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(39(a,1),82(a,1,2,1)),rewrite(39(20),39(22))]. given #79 (T,wt=25): 399 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(82(a,1),39(a,1,2,2,2))]. given #80 (T,wt=25): 579 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(82(a,1),60(a,1,2,2,2))]. given #81 (T,wt=25): 589 f(f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(20(a,1),577(a,1,1,1,1)),rewrite(77(12))]. given #82 (A,wt=33): 36 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(20(a,1),2(a,1,2,1,1))]. given #83 (F,wt=25): 640 f(f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(20(a,1),594(a,1,1,1,1)),rewrite(77(12))]. given #84 (F,wt=25): 641 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(20(a,1),594(a,1,1,2,1,1,1))]. given #85 (F,wt=25): 658 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(96(a,1),82(a,1,2,1)),rewrite(96(20),96(22))]. given #86 (F,wt=25): 668 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x))))) = f(x,x). [para(69(a,1),96(a,1,2,2,1,1,1,1)),rewrite(210(9),77(3))]. given #87 (T,wt=25): 747 f(f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(x,u))),f(x,x)) = x. [para(82(a,1),97(a,1,1,2,1,1,1,1))]. given #88 (T,wt=25): 749 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(69(a,1),97(a,1,1,2,1,1,1,1)),rewrite(77(3),77(12))]. given #89 (T,wt=25): 856 f(f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x))),f(x,x)) = x. [para(82(a,1),658(a,1,1,2,1,1,1,1))]. given #90 (T,wt=25): 858 f(f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(69(a,1),658(a,1,1,2,1,1,1,1)),rewrite(77(3),77(12))]. given #91 (A,wt=37): 38 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(20(a,1),2(a,1,2,2,1,1,1,1))]. given #92 (F,wt=27): 80 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(77(a,1),2(a,1,2,2,1,1))]. given #93 (F,wt=21): 969 f(f(f(x,x),x),f(f(x,f(x,x)),f(f(x,x),f(x,y)))) = x. [para(46(a,1),80(a,1,2,2,1)),rewrite(82(9))]. given #94 (F,wt=21): 1005 f(f(f(x,x),x),f(f(x,f(x,x)),f(f(x,x),f(y,x)))) = x. [para(82(a,1),969(a,1,2,2,2))]. given #95 (F,wt=23): 967 f(f(x,f(x,x)),f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(20(a,1),80(a,1,2,2,1)),rewrite(77(5),82(8))]. given #96 (T,wt=23): 1017 f(f(x,f(x,x)),f(f(f(x,x),x),f(x,f(y,f(x,x))))) = f(x,x). [para(20(a,1),1005(a,1,1,1)),rewrite(77(6),77(7))]. given #97 (T,wt=27): 350 f(f(x,x),f(x,f(f(f(x,f(f(x,f(x,f(f(x,x),y))),x)),x),f(x,z)))) = x. [para(347(a,1),2(a,1,2,2,1,1,1)),rewrite(347(8))]. given #98 (T,wt=27): 359 f(f(x,x),f(x,f(f(f(x,f(f(x,f(x,f(y,f(x,x)))),x)),x),f(x,z)))) = x. [para(356(a,1),2(a,1,2,2,1,1,1)),rewrite(356(8))]. given #99 (T,wt=27): 583 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))))) = f(x,x). [para(60(a,1),226(a,1,1)),rewrite(60(11),60(11),60(22),60(22))]. given #100 (A,wt=33): 45 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(20(a,1),7(a,1,2,2,1,1,1))]. given #101 (F,wt=15): 1071 f(f(x,f(x,x)),f(x,f(f(x,x),y))) = x. [para(39(a,1),45(a,1,2,2,1)),rewrite(77(3),77(6),77(10),77(13),77(16),77(19),77(27),230(27),46(23),77(9),77(3),77(6)),flip(a)]. given #102 (F,wt=15): 1073 f(f(f(x,x),x),f(x,f(f(x,x),y))) = x. [para(404(a,1),45(a,1,1)),rewrite(967(25),230(21),46(17),77(3)),flip(a)]. given #103 (F,wt=15): 1077 f(f(f(x,x),x),f(x,f(y,f(x,x)))) = x. [para(413(a,1),45(a,1,1)),rewrite(1017(25),244(21),46(17),77(3)),flip(a)]. given #104 (F,wt=15): 1083 f(f(x,f(x,x)),f(x,f(y,f(x,x)))) = x. [para(520(a,1),45(a,1,2,2,1)),rewrite(244(27),46(23),77(9)),flip(a)]. given #105 (T,wt=17): 1075 f(f(x,f(x,x)),f(f(x,x),f(x,y))) = f(x,x). [para(405(a,1),45(a,1,1)),rewrite(77(16),77(18),969(23),219(18),20(16)),flip(a)]. given #106 (T,wt=17): 1079 f(f(x,f(x,x)),f(f(x,x),f(y,x))) = f(x,x). [para(427(a,1),45(a,1,1)),rewrite(77(16),77(18),1005(23),233(18),20(16)),flip(a)]. given #107 (T,wt=17): 1085 f(f(f(x,x),x),f(f(x,x),f(x,y))) = f(x,x). [para(60(a,1),45(a,1,2,2,1)),rewrite(77(4),77(4),77(8),55(6),77(7),77(11),77(11),77(15),55(13),77(14),77(17),77(17),77(21),55(19),77(20),77(24),77(25),77(27),55(25),77(26),219(26),20(24),55(9),77(4),77(4),77(8),55(6),77(7)),flip(a)]. given #108 (T,wt=17): 1091 f(f(f(x,x),x),f(f(x,x),f(y,x))) = f(x,x). [para(579(a,1),45(a,1,2,2,1)),rewrite(77(4),77(4),77(8),55(6),77(7),77(11),77(11),77(15),55(13),77(14),77(17),77(17),77(21),55(19),77(20),77(24),77(25),77(27),55(25),77(26),233(26),20(24),55(9),77(4),77(4),77(8),55(6),77(7)),flip(a)]. given #109 (A,wt=49): 47 f(x,f(f(x,y),f(f(f(f(f(f(x,x),f(z,x)),y),y),f(x,x)),f(f(x,u),f(f(f(f(f(f(x,x),v),u),u),f(x,x)),f(f(x,x),w)))))) = f(x,x). [para(20(a,1),8(a,1,1)),rewrite(20(3),20(11))]. given #110 (F,wt=23): 1120 f(f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z))),x) = f(x,x). [para(1071(a,1),747(a,1,1,2,1,1,1)),rewrite(77(3),77(10),77(11))]. given #111 (F,wt=23): 1122 f(f(f(x,f(x,f(f(x,x),y))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(1071(a,1),856(a,1,1,2,1,1,1)),rewrite(77(3),77(10),77(11))]. given #112 (F,wt=23): 1156 f(f(f(x,f(x,f(y,f(x,x)))),f(x,f(f(x,x),z))),x) = f(x,x). [para(1077(a,1),97(a,1,1,2,1,1,1)),rewrite(77(3),77(10),77(11))]. given #113 (F,wt=23): 1159 f(f(f(x,f(x,f(y,f(x,x)))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(1077(a,1),658(a,1,1,2,1,1,1)),rewrite(77(3),77(10),77(11))]. given #114 (T,wt=25): 1103 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(x,z)))) = x. [para(1071(a,1),2(a,1,2,2,1,1,1)),rewrite(230(7))]. given #115 (T,wt=25): 1113 f(f(f(x,x),x),f(x,f(f(f(x,f(x,f(f(x,x),y))),x),f(z,x)))) = x. [para(1071(a,1),96(a,1,2,2,1,1,1)),rewrite(230(7))]. given #116 (T,wt=19): 1327 f(f(f(x,x),x),f(f(x,f(x,f(f(x,x),y))),x)) = x. [para(82(a,1),1113(a,1,2))]. given #117 (T,wt=15): 1340 f(f(x,f(x,f(f(x,x),y))),x) = f(x,x). [para(1327(a,1),44(a,1,2,2,1)),rewrite(347(7),20(14)),flip(a)]. given #118 (A,wt=51): 48 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,u),f(f(f(f(f(f(y,y),v),u),u),f(y,y)),f(f(y,y),w)))))) = f(y,y). [para(20(a,1),8(a,1,2,1,1)),rewrite(20(12))]. given #119 (F,wt=15): 1349 f(f(x,f(x,f(y,f(x,x)))),x) = f(x,x). [para(82(a,1),1340(a,1,1,2,2))]. given #120 (F,wt=17): 1341 f(f(f(x,x),f(f(x,x),f(x,y))),f(x,x)) = x. [para(1327(a,1),62(a,1,2,2,1)),rewrite(77(5),355(8),77(6),77(13),77(21),46(19),77(3),77(5)),flip(a)]. given #121 (F,wt=17): 1351 f(f(x,x),f(x,f(x,f(x,f(f(x,x),y))))) = x. [para(1340(a,1),232(a,1,1)),rewrite(1340(6),1340(7),77(4),1340(12),1340(13),77(10))]. given #122 (F,wt=17): 1375 f(f(f(x,x),f(f(x,x),f(y,x))),f(x,x)) = x. [para(20(a,1),1349(a,1,1,2,2,2)),rewrite(77(10))]. given #123 (T,wt=17): 1378 f(f(x,x),f(x,f(x,f(x,f(y,f(x,x)))))) = x. [para(1349(a,1),232(a,1,1)),rewrite(1349(6),1349(7),77(4),1349(12),1349(13),77(10))]. given #124 (T,wt=21): 1392 f(x,f(f(x,x),f(f(x,x),f(f(x,x),f(x,y))))) = f(x,x). [para(1341(a,1),232(a,1,1)),rewrite(1341(7),1341(7),1341(15),1341(15))]. given #125 (T,wt=21): 1409 f(x,f(f(x,x),f(f(x,x),f(f(x,x),f(y,x))))) = f(x,x). [para(1375(a,1),232(a,1,1)),rewrite(1375(7),1375(7),1375(15),1375(15))]. given #126 (T,wt=25): 1202 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(1075(a,1),97(a,1,1,2,1,1,1)),rewrite(55(11))]. given #127 (A,wt=41): 50 f(f(x,y),f(f(f(y,y),f(x,x)),f(f(f(x,f(x,x)),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(20(a,1),8(a,1,2,2,1,1,1))]. given #128 (F,wt=25): 1206 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(1075(a,1),658(a,1,1,2,1,1,1)),rewrite(55(11))]. given #129 (F,wt=25): 1225 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(1079(a,1),97(a,1,1,2,1,1,1)),rewrite(55(11))]. given #130 (F,wt=25): 1229 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(1079(a,1),658(a,1,1,2,1,1,1)),rewrite(55(11))]. given #131 (F,wt=25): 1294 f(f(x,x),f(x,f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z))))) = x. [para(1120(a,1),232(a,1,1)),rewrite(1120(10),1120(11),77(4),1120(20),1120(21),77(14))]. given #132 (T,wt=25): 1300 f(f(x,x),f(x,f(f(x,f(x,f(f(x,x),y))),f(x,f(z,f(x,x)))))) = x. [para(1122(a,1),232(a,1,1)),rewrite(1122(10),1122(11),77(4),1122(20),1122(21),77(14))]. given #133 (T,wt=25): 1306 f(f(x,x),f(x,f(f(x,f(x,f(y,f(x,x)))),f(x,f(f(x,x),z))))) = x. [para(1156(a,1),232(a,1,1)),rewrite(1156(10),1156(11),77(4),1156(20),1156(21),77(14))]. given #134 (T,wt=25): 1312 f(f(x,x),f(x,f(f(x,f(x,f(y,f(x,x)))),f(x,f(z,f(x,x)))))) = x. [para(1159(a,1),232(a,1,1)),rewrite(1159(10),1159(11),77(4),1159(20),1159(21),77(14))]. given #135 (T,wt=27): 647 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x))))) = f(x,x). [para(594(a,1),232(a,1,1)),rewrite(594(10),594(10),594(21),594(21))]. given #136 (A,wt=41): 52 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),f(u,u)),f(f(f(u,f(u,u)),y),f(y,v)))))) = y. [para(20(a,1),8(a,1,2,2,2,2,1,1,1))]. given #137 (F,wt=27): 657 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(z,y)))) = y. [para(77(a,1),96(a,1,2,2,1,1))]. given #138 (F,wt=27): 744 f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(x,z))),f(x,x)) = x. [para(77(a,1),97(a,1,1,2,1,1))]. given #139 (F,wt=23): 1605 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(1340(a,1),744(a,1,1,2,1)),rewrite(1348(11))]. given #140 (F,wt=23): 1606 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))),f(x,x)) = x. [para(1349(a,1),744(a,1,1,2,1)),rewrite(1376(11))]. given #141 (T,wt=23): 1614 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(82(a,1),1605(a,1,1,2,2))]. given #142 (T,wt=23): 1623 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))),f(x,x)) = x. [para(82(a,1),1606(a,1,1,2,2))]. given #143 (T,wt=25): 1607 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))),x) = f(x,x). [para(1341(a,1),744(a,1,1,2,1)),rewrite(77(3),1390(12),77(12))]. given #144 (T,wt=25): 1608 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))),x) = f(x,x). [para(1375(a,1),744(a,1,1,2,1)),rewrite(77(3),1408(12),77(12))]. given #145 (A,wt=29): 58 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(46(a,1),2(a,1,1))]. given #146 (F,wt=25): 1628 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(20(a,1),1614(a,1,1,1,2,2,1)),rewrite(77(8),77(12))]. given #147 (F,wt=25): 1634 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))),x) = f(x,x). [para(20(a,1),1623(a,1,1,1,2,2,2)),rewrite(77(8),77(12))]. given #148 (F,wt=27): 770 f(f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(20(a,1),397(a,1,1,1,1)),rewrite(77(13))]. given #149 (F,wt=27): 816 f(f(x,x),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(f(x,x),z))))) = x. [para(589(a,1),232(a,1,1)),rewrite(589(11),589(12),77(4),589(22),589(23),77(15))]. given #150 (T,wt=27): 836 f(f(f(x,f(y,y)),f(f(f(y,f(y,y)),f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(20(a,1),640(a,1,1,2,1,1,1))]. given #151 (T,wt=27): 842 f(f(x,x),f(x,f(f(x,y),f(f(f(f(y,y),y),f(x,x)),f(z,f(x,x)))))) = x. [para(640(a,1),232(a,1,1)),rewrite(640(11),640(12),77(4),640(22),640(23),77(15))]. given #152 (T,wt=27): 854 f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(z,x))),f(x,x)) = x. [para(77(a,1),658(a,1,1,2,1,1))]. given #153 (T,wt=27): 898 f(f(f(f(x,x),f(f(y,x),f(y,x))),f(f(f(y,x),x),f(x,z))),f(x,x)) = x. [para(77(a,1),747(a,1,1,2,1,1))]. given #154 (A,wt=49): 59 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(46(a,1),2(a,1,2,2,1,1,1,1))]. given #155 (F,wt=27): 928 f(f(f(f(x,x),f(f(y,x),f(y,x))),f(f(f(y,x),x),f(z,x))),f(x,x)) = x. [para(77(a,1),856(a,1,1,2,1,1))]. given #156 (F,wt=27): 1127 f(f(x,f(x,x)),f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z)))) = f(x,x). [para(1073(a,1),2(a,1,2,2,1,1,1)),rewrite(77(5),77(12))]. given #157 (F,wt=19): 1719 f(f(x,f(x,f(f(x,x),y))),f(x,f(f(x,x),z))) = x. [para(1127(a,1),45(a,1,2,2,1)),rewrite(230(33),46(29),77(11)),flip(a)]. given #158 (F,wt=19): 1729 f(f(x,f(x,f(y,f(x,x)))),f(x,f(f(x,x),z))) = x. [para(82(a,1),1719(a,1,1,2,2))]. given #159 (T,wt=19): 1730 f(f(x,f(x,f(f(x,x),y))),f(x,f(z,f(x,x)))) = x. [para(82(a,1),1719(a,1,2,2))]. given #160 (T,wt=19): 1755 f(f(x,f(x,f(y,f(x,x)))),f(x,f(z,f(x,x)))) = x. [para(82(a,1),1729(a,1,2,2))]. given #161 (T,wt=23): 1728 f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(x,z))) = f(x,x). [para(20(a,1),1719(a,1,1,2,2,1)),rewrite(77(9))]. given #162 (T,wt=23): 1754 f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(x,z))) = f(x,x). [para(20(a,1),1729(a,1,1,2,2,2)),rewrite(77(9))]. given #163 (A,wt=45): 61 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),z),f(f(f(f(f(f(x,y),f(u,f(f(x,y),f(x,y)))),z),z),f(x,y)),y))) = f(x,y). [para(46(a,1),7(a,1,1))]. given #164 (F,wt=23): 1758 f(f(f(x,x),f(f(x,x),f(x,y))),f(f(x,x),f(z,x))) = f(x,x). [para(20(a,1),1730(a,1,1,2,2,1)),rewrite(77(9))]. given #165 (F,wt=23): 1765 f(f(f(x,x),f(f(x,x),f(y,x))),f(f(x,x),f(z,x))) = f(x,x). [para(20(a,1),1755(a,1,1,2,2,2)),rewrite(77(9))]. given #166 (F,wt=27): 1397 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x),f(x,z)))) = x. [para(1351(a,1),2(a,1,2,2,1,1,1)),rewrite(1351(8))]. given #167 (F,wt=27): 1406 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x),f(z,x)))) = x. [para(1351(a,1),96(a,1,2,2,1,1,1)),rewrite(1351(8))]. given #168 (T,wt=21): 1856 f(f(x,x),f(f(x,f(x,f(x,f(x,f(f(x,x),y))))),x)) = x. [para(82(a,1),1406(a,1,2))]. given #169 (T,wt=21): 1866 f(f(x,x),f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x)) = x. [para(82(a,1),1856(a,1,2,1,2,2,2,2))]. given #170 (T,wt=27): 1414 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x),f(x,z)))) = x. [para(1378(a,1),2(a,1,2,2,1,1,1)),rewrite(1378(8))]. given #171 (T,wt=27): 1423 f(f(x,x),f(x,f(f(f(x,f(x,f(x,f(x,f(y,f(x,x)))))),x),f(z,x)))) = x. [para(1378(a,1),96(a,1,2,2,1,1,1)),rewrite(1378(8))]. given #172 (A,wt=33): 63 f(f(f(x,x),f(y,z)),f(f(f(f(y,z),f(y,z)),x),f(f(f(f(x,x),x),f(y,z)),z))) = f(y,z). [para(46(a,1),7(a,1,2,2,1,1,1))]. given #173 (F,wt=27): 1615 f(x,f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(x,z))))) = f(x,x). [para(1605(a,1),232(a,1,1)),rewrite(1605(10),1605(10),1605(21),1605(21))]. given #174 (F,wt=27): 1624 f(x,f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(x,z))))) = f(x,x). [para(1606(a,1),232(a,1,1)),rewrite(1606(10),1606(10),1606(21),1606(21))]. given #175 (F,wt=27): 1630 f(x,f(f(x,x),f(f(x,f(x,f(f(x,x),y))),f(f(x,x),f(z,x))))) = f(x,x). [para(1614(a,1),232(a,1,1)),rewrite(1614(10),1614(10),1614(21),1614(21))]. given #176 (F,wt=27): 1636 f(x,f(f(x,x),f(f(x,f(x,f(y,f(x,x)))),f(f(x,x),f(z,x))))) = f(x,x). [para(1623(a,1),232(a,1,1)),rewrite(1623(10),1623(10),1623(21),1623(21))]. given #177 (T,wt=27): 1643 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(f(x,x),z))))) = x. [para(1607(a,1),232(a,1,1)),rewrite(1607(11),1607(12),77(4),1607(22),1607(23),77(15))]. given #178 (T,wt=27): 1648 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(f(x,x),z))))) = x. [para(1608(a,1),232(a,1,1)),rewrite(1608(11),1608(12),77(4),1608(22),1608(23),77(15))]. given #179 (T,wt=27): 1664 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(x,y))),f(x,f(z,f(x,x)))))) = x. [para(1628(a,1),232(a,1,1)),rewrite(1628(11),1628(12),77(4),1628(22),1628(23),77(15))]. given #180 (T,wt=27): 1669 f(f(x,x),f(x,f(f(f(x,x),f(f(x,x),f(y,x))),f(x,f(z,f(x,x)))))) = x. [para(1634(a,1),232(a,1,1)),rewrite(1634(11),1634(12),77(4),1634(22),1634(23),77(15))]. given #181 (A,wt=45): 64 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(z,f(x,x))),y),y),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(x,w)))))) = x. [para(46(a,1),8(a,1,1))]. given #182 (F,wt=27): 1739 f(x,f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(f(x,x),z)))) = f(x,x). [para(1719(a,1),190(a,1,2,2,1,1))]. given #183 (F,wt=27): 1742 f(x,f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(z,f(x,x))))) = f(x,x). [para(1719(a,1),668(a,1,2,2,1,1))]. given #184 (F,wt=27): 1745 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(1719(a,1),749(a,1,1,2,1,1))]. given #185 (F,wt=27): 1748 f(f(f(x,f(x,f(f(x,x),y))),f(f(x,f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(1719(a,1),858(a,1,1,2,1,1))]. given #186 (T,wt=27): 1774 f(x,f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(f(x,x),z)))) = f(x,x). [para(1755(a,1),190(a,1,2,2,1,1))]. given #187 (T,wt=27): 1777 f(x,f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(z,f(x,x))))) = f(x,x). [para(1755(a,1),668(a,1,2,2,1,1))]. given #188 (T,wt=27): 1780 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(f(x,x),z))),x) = f(x,x). [para(1755(a,1),749(a,1,1,2,1,1))]. given #189 (T,wt=27): 1783 f(f(f(x,f(x,f(y,f(x,x)))),f(f(x,f(x,x)),f(z,f(x,x)))),x) = f(x,x). [para(1755(a,1),858(a,1,1,2,1,1))]. given #190 (A,wt=41): 65 f(f(f(x,x),y),f(f(f(y,y),x),f(f(f(f(x,x),x),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(46(a,1),8(a,1,2,2,1,1,1))]. given #191 (F,wt=27): 1789 f(f(x,x),f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(x,z)))) = x. [para(1728(a,1),2(a,1,2,2,1,1))]. given #192 (F,wt=27): 1804 f(f(x,x),f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(z,x)))) = x. [para(1728(a,1),96(a,1,2,2,1,1))]. given #193 (F,wt=27): 1805 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(x,z))),f(x,x)) = x. [para(1728(a,1),97(a,1,1,2,1,1))]. given #194 (F,wt=27): 1806 f(f(f(f(x,x),f(f(x,x),f(x,y))),f(f(f(x,x),x),f(z,x))),f(x,x)) = x. [para(1728(a,1),658(a,1,1,2,1,1))]. given #195 (T,wt=27): 1831 f(f(x,x),f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(x,z)))) = x. [para(1765(a,1),2(a,1,2,2,1,1))]. given #196 (T,wt=27): 1840 f(f(x,x),f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(z,x)))) = x. [para(1765(a,1),96(a,1,2,2,1,1))]. given #197 (T,wt=27): 1841 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(x,z))),f(x,x)) = x. [para(1765(a,1),97(a,1,1,2,1,1))]. given #198 (T,wt=27): 1842 f(f(f(f(x,x),f(f(x,x),f(y,x))),f(f(f(x,x),x),f(z,x))),f(x,x)) = x. [para(1765(a,1),658(a,1,1,2,1,1))]. given #199 (A,wt=39): 66 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(u,u),u),y),f(y,v)))))) = y. [para(46(a,1),8(a,1,2,2,2,2,1,1,1))]. given #200 (F,wt=29): 67 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(55(a,1),2(a,1,1))]. given #201 (F,wt=29): 263 f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(f(f(x,x),x),y),y),x),f(x,z)))) = x. [para(261(a,1),2(a,1,1)),rewrite(82(10))]. given #202 (F,wt=29): 295 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))))) = f(x,x). [para(2(a,1),226(a,1,1)),rewrite(2(11),2(11),2(23),2(23))]. given #203 (F,wt=29): 403 f(x,f(f(x,x),f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))))) = f(x,x). [para(39(a,1),226(a,1,1)),rewrite(39(11),39(11),39(23),39(23))]. given #204 (T,wt=29): 651 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(z,f(x,x))),y),y),x),f(u,x)))) = x. [para(46(a,1),96(a,1,1))]. given #205 (T,wt=29): 653 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,f(f(x,x),z)),y),y),x),f(u,x)))) = x. [para(55(a,1),96(a,1,1))]. given #206 (T,wt=29): 678 f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(f(f(x,x),x),y),y),x),f(z,x)))) = x. [para(261(a,1),96(a,1,1)),rewrite(82(10))]. given #207 (T,wt=29): 684 f(x,f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))))) = f(x,x). [para(96(a,1),226(a,1,1)),rewrite(96(11),96(11),96(23),96(23))]. given #208 (A,wt=49): 68 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(55(a,1),2(a,1,2,2,1,1,1,1))]. given #209 (F,wt=45): 2271 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(55(a,1),68(a,1,2,2,2))]. given #210 (F,wt=27): 2288 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(2277),rewrite(2285(3))]. given #211 (F,wt=25): 2356 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),2288(a,1,2,1,1,1)),rewrite(2(12),2(17),2(22))]. given #212 (F,wt=25): 2364 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(77(a,1),2288(a,1,2,1,1,1)),rewrite(77(4),77(9),77(14))]. given #213 (T,wt=9): 2285 f(f(x,x),f(x,y)) = x. [para(1073(a,1),2271(a,1,2,2,1)),rewrite(77(4),219(4),77(5),77(8),77(13),46(11),77(3),77(4)),flip(a)]. given #214 (T,wt=9): 2286 f(f(x,x),f(y,x)) = x. [para(1077(a,1),2271(a,1,2,2,1)),rewrite(2285(4),233(4),2285(5),2285(8),2285(13),46(11),2285(3),2285(4)),flip(a)]. given #215 (T,wt=11): 2386 f(x,f(f(x,x),y)) = f(x,x). [para(1073(a,1),2288(a,1,2,2,1)),rewrite(20(10)),flip(a)]. given #216 (T,wt=11): 2387 f(x,f(y,f(x,x))) = f(x,x). [para(1077(a,1),2288(a,1,2,2,1)),rewrite(20(10)),flip(a)]. given #217 (A,wt=37): 73 f(f(f(x,y),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),f(f(f(f(x,y),f(x,y)),f(x,y)),y))) = f(x,y). [para(55(a,1),7(a,1,2,2,1,1))]. given #218 (F,wt=27): 2353 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(44),rewrite(2286(3))]. given #219 (F,wt=33): 2359 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(46(a,1),2288(a,1,2,1,1,1)),rewrite(46(6),2285(5),46(10),46(17))]. given #220 (F,wt=57): 2449 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(2356(a,1),2356(a,1,2,2,1,1,1))]. given #221 (F,wt=57): 2482 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(2364(a,1),2364(a,1,2,2,1,1,1))]. given #222 (T,wt=13): 2484 f(f(f(x,y),f(x,y)),y) = f(x,y). [para(2(a,1),2285(a,1,2))]. given #223 (T,wt=13): 2489 f(f(f(x,y),f(x,y)),x) = f(x,y). [para(77(a,1),2285(a,1,2))]. given #224 (T,wt=19): 2405 f(x,f(f(x,f(x,x)),f(f(x,x),x))) = f(x,f(x,x)). [back_rewrite(2375),rewrite(2387(5))]. given #225 (T,wt=21): 2371 f(f(x,x),f(f(f(x,x),x),f(x,f(x,x)))) = f(f(x,x),x). [para(261(a,1),2288(a,1,2,1)),rewrite(55(6),2286(7))]. given #226 (A,wt=37): 75 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u)))))) = x. [para(55(a,1),8(a,1,2,2,1,1))]. given #227 (F,wt=35): 2750 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(2482(a,1),2484(a,2)),rewrite(2705(12),2705(28),2705(44),2484(48))]. given #228 (F,wt=35): 2789 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(2449(a,1),2489(a,2)),rewrite(2777(12),2777(28),2489(35))]. given #229 (F,wt=41): 2842 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(2(a,1),2750(a,1,1)),rewrite(2(17),2(21),2(26))]. given #230 (F,wt=41): 2846 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(77(a,1),2750(a,1,1)),rewrite(77(9),77(13),77(18))]. given #231 (T,wt=21): 2509 f(x,f(f(x,y),f(f(f(f(x,x),x),f(x,y)),y))) = f(x,y). [para(2285(a,1),45(a,1,1)),rewrite(2285(6),2489(4),2285(5))]. given #232 (T,wt=21): 2598 f(x,f(f(y,x),f(f(f(f(x,x),x),f(y,x)),x))) = f(y,x). [para(2286(a,1),45(a,1,1)),rewrite(2285(6),2484(4),2285(5))]. given #233 (T,wt=21): 2743 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x))) = f(x,y). [para(2484(a,1),2288(a,1,2,1))]. given #234 (T,wt=21): 2785 f(x,f(f(x,y),f(f(f(f(x,x),x),f(x,y)),x))) = f(x,y). [para(2489(a,1),2288(a,1,2,1))]. given #235 (A,wt=37): 76 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),y),f(f(f(y,y),y),f(y,u)))))) = y. [para(55(a,1),8(a,1,2,2,2,2,1,1))]. given #236 (F,wt=45): 2984 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(2750(a,1),2743(a,1,2,1)),rewrite(2750(17),2750(32),2750(37))]. given #237 (F,wt=45): 2985 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(2789(a,1),2743(a,1,2,1)),rewrite(2789(17),2789(32),2789(37))]. given #238 (F,wt=51): 2844 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(20(a,1),2750(a,1,2,2,1,1,2,1,1))]. given #239 (F,wt=51): 2861 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(20(a,1),2789(a,1,2,2,1,1,2,1,1))]. given #240 (T,wt=21): 2786 f(x,f(f(y,x),f(f(f(f(x,y),y),f(y,x)),x))) = f(y,x). [para(2489(a,1),2353(a,1,2,1))]. given #241 (T,wt=23): 2725 f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z)))) = x. [para(60(a,1),2484(a,1,1,1)),rewrite(60(11),60(21))]. given #242 (T,wt=23): 2729 f(f(x,x),f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(z,x)))) = x. [para(579(a,1),2484(a,1,1,1)),rewrite(579(11),579(21))]. given #243 (T,wt=25): 2350 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(115),rewrite(2286(3))]. given #244 (A,wt=35): 81 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(77(a,1),2(a,1,2,2,2))]. given #245 (F,wt=55): 2858 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(2750(a,1),2750(a,1,2,2,1,1,2,2,1,1,1)),rewrite(2285(17))]. given #246 (F,wt=55): 2878 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(2789(a,1),2789(a,1,2,2,1,1,2,2,1,1,1)),rewrite(2285(17))]. given #247 (F,wt=55): 2986 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(2842(a,1),2743(a,1,2,1)),rewrite(2842(19),2842(38),2842(43))]. given #248 (F,wt=55): 2987 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(2846(a,1),2743(a,1,2,1)),rewrite(2846(19),2846(38),2846(43))]. given #249 (T,wt=25): 2366 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(77(a,1),2288(a,1,2,2,1,1))]. given #250 (T,wt=25): 2380 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(36(a,1),2288(a,1,2,2,1)),rewrite(77(6),77(17),2285(29),46(27),77(3),77(5)),flip(a)]. given #251 (T,wt=25): 2396 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(2297),rewrite(2386(3))]. given #252 (T,wt=25): 2397 f(f(x,x),f(f(f(x,x),x),f(x,f(y,f(f(x,x),x))))) = f(f(x,x),x). [back_rewrite(2292),rewrite(2386(3))]. given #253 (A,wt=41): 84 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(77(a,1),7(a,1,2,2,1,1))]. given #254 (F,wt=25): 2400 f(x,f(f(x,f(x,x)),f(f(x,x),f(y,f(x,f(x,x)))))) = f(x,f(x,x)). [back_rewrite(1581),rewrite(2386(3),2285(4),2387(5))]. given #255 (F,wt=25): 2403 f(x,f(f(x,f(x,x)),f(f(x,x),f(f(x,f(x,x)),y)))) = f(x,f(x,x)). [back_rewrite(1125),rewrite(2386(3),2285(4),2387(5))]. given #256 (F,wt=25): 2455 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(20(a,1),2364(a,1,2,2,1,1,1))]. given #257 (F,wt=49): 3377 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(2455(a,1),81(a,1,2,2,1,1,1,1))]. Demod_limit: f(f(f(f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(y,y)),f(f(x,f(y,f(y,y))),f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),y))),f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),y)),f(f(f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),y),f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),y)),u),f(f(f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),u),u),f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),y)),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))))) = f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(f(f(f(x,f(y,f(y,y))),f(x,f(y,f(y,y)))),z),f(f(f(f(f(y,f(y,y)),z),z),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y))))),f(x,f(y,f(y,y)))),f(y,f(y,y)))),y). [para(2986(a,1),3377(a,1,1,1,2,1))]. Demod_limit (steps=-1, size=1049). The most recent kept clause is 3390. From here on, a short message will be printed for each 100 times the limit is hit. given #258 (T,wt=25): 2483 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(2285(a,1),2(a,1,2,1))]. given #259 (T,wt=19): 3414 f(f(x,y),f(f(f(f(y,x),f(y,z)),f(y,z)),y)) = y. [para(2387(a,1),2483(a,1,2,2)),rewrite(82(15))]. given #260 (T,wt=15): 3482 f(x,f(f(f(x,x),x),f(x,y))) = f(x,y). [para(2359(a,1),3414(a,1,2,1,1)),rewrite(2285(3),77(5),77(9),46(7),77(4))]. given #261 (T,wt=15): 3523 f(x,f(f(f(x,x),x),f(y,x))) = f(y,x). [para(82(a,1),3482(a,1,2,2)),rewrite(82(9))]. given #262 (A,wt=43): 86 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(f(f(y,y),z),f(f(f(f(f(y,u),z),z),y),f(y,v)))))) = y. [para(77(a,1),8(a,1,2,2,1,1))]. given #263 (F,wt=39): 3486 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(2750(a,1),3414(a,1,2,1,1))]. given #264 (F,wt=39): 3649 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(82(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(2484(4),82(11),82(16))]. given #265 (F,wt=39): 3652 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(91(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(2489(4),91(11),91(16))]. given #266 (F,wt=47): 3677 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(3482(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(3482(16),3482(21))]. given #267 (T,wt=19): 3449 f(f(x,y),f(f(f(f(x,y),f(y,z)),f(y,z)),y)) = y. [para(82(a,1),3414(a,1,2,1,1,1)),rewrite(2484(4))]. given #268 (T,wt=19): 3450 f(f(x,y),f(f(f(f(y,x),f(z,y)),f(z,y)),y)) = y. [para(82(a,1),3414(a,1,2,1,1,2)),rewrite(82(8))]. given #269 (T,wt=19): 3451 f(f(x,y),f(f(f(f(x,y),f(x,z)),f(x,z)),x)) = x. [para(91(a,1),3414(a,1,2,1,1,1)),rewrite(2489(4))]. given #270 (T,wt=19): 3454 f(f(f(f(x,f(x,x)),f(x,y)),f(x,y)),x) = f(x,x). [para(3414(a,1),60(a,1,2,2,1)),rewrite(2286(9),2484(16),3226(18)),flip(a)]. given #271 (A,wt=59): 87 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(y,v),v),f(y,z)),f(f(y,z),w)))))) = f(y,z). [para(77(a,1),8(a,1,2,2,2,2,1,1,1,1))]. given #272 (F,wt=43): 3858 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(3652(a,1),3450(a,1,2,1,1))]. given #273 (F,wt=43): 3928 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(82(a,1),3858(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(2484(4),82(11),82(16))]. given #274 (F,wt=43): 3929 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(91(a,1),3858(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(2489(4),91(11),91(16))]. given #275 (F,wt=47): 3679 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(3523(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(3523(16),3523(21))]. given #276 (T,wt=19): 3566 f(f(x,x),f(f(f(x,x),x),f(x,y))) = f(f(x,x),x). [para(3482(a,1),2396(a,1,2,2))]. given #277 (T,wt=19): 3751 f(f(x,y),f(f(f(f(x,y),f(z,y)),f(z,y)),y)) = y. [para(82(a,1),3449(a,1,2,1,1,2)),rewrite(82(8))]. given #278 (T,wt=19): 3766 f(f(f(f(f(x,x),x),f(x,y)),f(x,y)),x) = f(x,x). [para(3449(a,1),63(a,1,2,2,1)),rewrite(2286(9),2484(16),20(9)),flip(a)]. given #279 (T,wt=19): 3794 f(f(x,y),f(f(f(f(x,y),f(z,x)),f(z,x)),x)) = x. [para(91(a,1),3450(a,1,2,1,1,1)),rewrite(2489(4))]. given #280 (A,wt=43): 88 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),f(f(y,u),f(y,u))),f(f(f(y,u),y),f(y,v)))))) = y. [para(77(a,1),8(a,1,2,2,2,2,1,1))]. given #281 (F,wt=47): 3971 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(3929(a,1),3450(a,1,2,1,1))]. given #282 (F,wt=47): 4085 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(3928(a,1),3751(a,1,2,1,1))]. given #283 (F,wt=47): 4135 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(3929(a,1),3794(a,1,2,1,1))]. given #284 (F,wt=49): 3383 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(82(a,1),3377(a,1,1,1,2,2)),rewrite(2285(8),2286(3),2285(10),82(13),82(15),82(16),82(21),82(26))]. given #285 (T,wt=19): 3797 f(f(f(f(x,f(x,x)),f(y,x)),f(y,x)),x) = f(x,x). [para(3450(a,1),60(a,1,2,2,1)),rewrite(2286(9),2484(16),3227(18)),flip(a)]. given #286 (T,wt=19): 3906 f(x,f(f(f(x,f(x,x)),f(x,y)),f(x,y))) = f(x,x). [para(3454(a,1),2489(a,1,1,1)),rewrite(3454(8),2285(3),3454(14))]. given #287 (T,wt=19): 3996 f(x,f(f(x,f(x,x)),f(f(x,x),y))) = f(x,f(x,x)). [para(20(a,1),3566(a,1,1)),rewrite(2285(3),2285(9))]. given #288 (T,wt=19): 3999 f(f(x,x),f(f(f(x,x),x),f(y,x))) = f(f(x,x),x). [para(82(a,1),3566(a,1,2,2))]. given #289 (A,wt=59): 89 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(f(f(y,z),w),v),v),f(y,z)),y))))) = f(y,z). [para(77(a,1),8(a,1,2,2,2,2,2))]. given #290 (F,wt=49): 3384 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(91(a,1),3377(a,1,1,1,2,2)),rewrite(2285(8),2285(3),2285(10),91(13),91(15),91(16),91(21),91(26))]. given #291 (F,wt=49): 3499 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(2984(a,1),3414(a,1,2,1,1))]. given #292 (F,wt=49): 3643 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(20(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(2286(3),20(14),20(19))]. given #293 (F,wt=49): 3646 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(77(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(2285(3),77(14),77(19))]. given #294 (T,wt=19): 4063 f(f(f(f(f(x,x),x),f(y,x)),f(y,x)),x) = f(x,x). [para(3751(a,1),63(a,1,2,2,1)),rewrite(2286(9),2484(16),20(9)),flip(a)]. given #295 (T,wt=19): 4094 f(x,f(f(f(f(x,x),x),f(x,y)),f(x,y))) = f(x,x). [para(3766(a,1),2489(a,1,1,1)),rewrite(3766(8),2285(3),3766(14))]. given #296 (T,wt=19): 4218 f(x,f(f(f(x,f(x,x)),f(y,x)),f(y,x))) = f(x,x). [para(3797(a,1),2489(a,1,1,1)),rewrite(3797(8),2285(3),3797(14))]. given #297 (T,wt=19): 4239 f(x,f(f(x,f(x,x)),f(y,f(x,x)))) = f(x,f(x,x)). [para(82(a,1),3996(a,1,2,2))]. given #298 (A,wt=45): 93 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(82(a,1),2(a,1,2,1))]. given #299 (F,wt=49): 3705 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(3649(a,1),2743(a,1,2,1)),rewrite(3649(19),3649(36),3649(41))]. given #300 (F,wt=49): 3730 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(3652(a,1),2743(a,1,2,1)),rewrite(3652(19),3652(36),3652(41))]. given #301 (F,wt=49): 3775 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(2985(a,1),3449(a,1,2,1,1))]. given #302 (F,wt=49): 3887 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(2984(a,1),3451(a,1,2,1,1))]. given #303 (T,wt=19): 4355 f(x,f(f(f(f(x,x),x),f(y,x)),f(y,x))) = f(x,x). [para(4063(a,1),2489(a,1,1,1)),rewrite(4063(8),2285(3),4063(14))]. given #304 (T,wt=21): 3522 f(f(x,x),f(f(x,f(x,x)),f(f(x,x),y))) = f(f(x,x),y). [para(20(a,1),3482(a,1,2,1,1))]. given #305 (T,wt=21): 3576 f(f(x,x),f(f(x,f(x,x)),f(y,f(x,x)))) = f(y,f(x,x)). [para(20(a,1),3523(a,1,2,1,1))]. given #306 (T,wt=23): 3437 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),3414(a,1,2,1,1,2)),rewrite(2(16))]. given #307 (A,wt=45): 95 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(82(a,1),2(a,1,2,2,1,1,1))]. given #308 (F,wt=51): 3940 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(3482(a,1),3858(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(3482(16),3482(21))]. given #309 (F,wt=51): 3941 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(3523(a,1),3858(a,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(3523(16),3523(21))]. given #310 (F,wt=51): 4175 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(3971(a,1),3751(a,1,2,1,1))]. given #311 (F,wt=51): 4193 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(4085(a,1),3751(a,1,2,1,1))]. given #312 (T,wt=15): 4566 f(x,f(f(f(x,y),y),f(x,y))) = f(x,y). [para(77(a,1),3437(a,1,2,1,1,1)),rewrite(2285(3))]. given #313 (T,wt=23): 3443 f(x,f(f(f(x,f(f(y,x),z)),f(f(y,x),z)),f(y,x))) = f(y,x). [para(20(a,1),3414(a,1,2,1,1,1)),rewrite(2286(3))]. given #314 (T,wt=15): 4863 f(x,f(f(f(x,y),y),f(y,x))) = f(y,x). [para(77(a,1),3443(a,1,2,1,1,2)),rewrite(77(4))]. given #315 (T,wt=11): 4935 f(f(x,x),x) = f(x,f(x,x)). [para(55(a,1),4863(a,1,2,1)),rewrite(2285(5))]. given #316 (A,wt=37): 99 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),82(a,1,2,1)),rewrite(7(28),7(31))]. given #317 (F,wt=35): 4792 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(2288(a,1),4566(a,1,2,1,1)),rewrite(2288(23),2288(26))]. given #318 (F,wt=29): 6077 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),4792(a,1,2,1,1)),rewrite(2(12),2(12),2(17),2(22),2(24))]. given #319 (F,wt=29): 6081 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(77(a,1),4792(a,1,2,1,1)),rewrite(77(4),77(4),77(9),77(14),77(16))]. given #320 (F,wt=33): 6165 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(6077(a,1),3751(a,1,2,1,1))]. given #321 (T,wt=15): 5028 f(x,f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(4863(a,1),3482(a,1,2,2)),rewrite(4935(2),4863(10))]. given #322 (T,wt=15): 5030 f(x,f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(3482(a,1),4863(a,1,2,2)),rewrite(4935(2),4935(6),3750(13),4935(3)),flip(a)]. given #323 (T,wt=19): 5043 f(f(x,x),f(f(x,f(x,x)),f(y,x))) = f(x,f(x,x)). [para(4863(a,1),3566(a,1,2,2)),rewrite(4935(3),4935(8))]. given #324 (T,wt=19): 5045 f(f(x,x),f(f(x,f(x,x)),f(x,y))) = f(x,f(x,x)). [para(3566(a,1),4863(a,1,2,2)),rewrite(4935(2),4935(6),4935(14),3863(16),4935(5)),flip(a)]. given #325 (A,wt=41): 101 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(v,y),u),u),y),f(y,w)))))) = y. [para(82(a,1),8(a,1,2,2,2,2,1,1,1,1))]. given #326 (F,wt=33): 6227 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(6081(a,1),3450(a,1,2,1,1))]. given #327 (F,wt=33): 6234 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(6081(a,1),3794(a,1,2,1,1))]. given #328 (F,wt=35): 4794 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(2353(a,1),4566(a,1,2,1,1)),rewrite(2353(23),2353(26))]. given #329 (F,wt=37): 6295 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(6165(a,1),3751(a,1,2,1,1))]. given #330 (T,wt=19): 6008 f(f(x,y),f(f(f(y,x),f(f(y,x),f(y,x))),y)) = y. [para(4935(a,1),3414(a,1,2,1))]. given #331 (T,wt=19): 6016 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),x)) = x. [para(4935(a,1),3451(a,1,2,1))]. given #332 (T,wt=19): 6023 f(f(x,y),f(f(f(x,y),f(f(x,y),f(x,y))),y)) = y. [para(4935(a,1),3751(a,1,2,1))]. given #333 (T,wt=21): 4936 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x)))) = x. [para(4863(a,1),69(a,1,2,2,2)),rewrite(4935(3),4935(5))]. given #334 (A,wt=41): 102 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(w,y)))))) = y. [para(82(a,1),8(a,1,2,2,2,2,2))]. given #335 (F,wt=37): 6409 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(6227(a,1),3751(a,1,2,1,1))]. given #336 (F,wt=37): 6473 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(6234(a,1),3794(a,1,2,1,1))]. given #337 (F,wt=39): 6146 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(6077(a,1),2743(a,1,2,1)),rewrite(6077(14),6077(26),6077(31))]. given #338 (F,wt=39): 6216 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(6081(a,1),2743(a,1,2,1)),rewrite(6081(14),6081(26),6081(31))]. given #339 (T,wt=21): 4938 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,x)) = x. [para(4863(a,1),210(a,1,1,2,2)),rewrite(4935(2),4935(4))]. given #340 (T,wt=21): 4939 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y)))) = x. [para(210(a,1),4863(a,1,2,2)),rewrite(4935(4),4935(6),4935(12),4935(14),2286(20),4935(2),4935(4),4937(9)),flip(a)]. given #341 (T,wt=21): 5000 f(x,f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),y))) = f(x,y). [para(2509(a,1),4863(a,1,2,2)),rewrite(4935(3),4935(10),3868(19),4935(4)),flip(a)]. given #342 (T,wt=21): 5002 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),x))) = f(y,x). [para(2598(a,1),4863(a,1,2,2)),rewrite(4935(3),4935(10),3863(19),4935(4)),flip(a)]. given #343 (A,wt=41): 103 f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(f(f(x,x),u),f(f(f(f(f(x,v),u),u),x),f(x,w))))),f(x,x)) = x. [para(8(a,1),82(a,1,2,1)),rewrite(8(36),8(38))]. given #344 (F,wt=41): 4796 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(2359(a,1),4566(a,1,2,1,1)),rewrite(2359(29),2359(32))]. given #345 (F,wt=41): 6079 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(55(a,1),4792(a,1,2,1,1)),rewrite(55(6),55(7),2285(6),55(11),55(18),55(21))]. given #346 (F,wt=41): 6423 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(4566(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(4566(16))]. given #347 (F,wt=41): 6427 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(4863(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(4863(16))]. given #348 (T,wt=21): 5006 f(x,f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),x))) = f(x,y). [para(2785(a,1),4863(a,1,2,2)),rewrite(4935(3),4935(10),3868(19),4935(4)),flip(a)]. given #349 (T,wt=21): 5956 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(x,y))),f(x,x)) = x. [back_rewrite(4937),rewrite(4939(18))]. given #350 (T,wt=23): 3447 f(x,f(f(f(x,f(f(x,y),z)),f(f(x,y),z)),f(x,y))) = f(x,y). [para(77(a,1),3414(a,1,2,1,1,1)),rewrite(2285(3))]. given #351 (T,wt=23): 3448 f(f(x,f(y,z)),f(f(f(f(f(y,z),x),y),y),f(y,z))) = f(y,z). [para(77(a,1),3414(a,1,2,1,1,2)),rewrite(77(8))]. given #352 (A,wt=57): 108 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(u,y)))),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(u,y)))),y),f(y,v)))) = y. [para(82(a,1),4(a,1,2,2,1,1,1,2,2,2)),rewrite(82(22))]. given #353 (F,wt=41): 6434 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(5028(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5028(16))]. given #354 (F,wt=41): 6435 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(5030(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5030(16))]. given #355 (F,wt=41): 6557 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(6295(a,1),3751(a,1,2,1,1))]. given #356 (F,wt=41): 6857 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(6409(a,1),3751(a,1,2,1,1))]. given #357 (T,wt=23): 3746 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),3449(a,1,2,1,1,2)),rewrite(2(16))]. given #358 (T,wt=23): 3750 f(f(x,f(y,z)),f(f(f(f(x,f(y,z)),y),y),f(y,z))) = f(y,z). [para(77(a,1),3449(a,1,2,1,1,2)),rewrite(77(8))]. given #359 (T,wt=23): 3764 f(f(f(f(x,f(x,x)),f(f(x,x),y)),f(f(x,x),y)),f(x,x)) = x. [para(3449(a,1),45(a,1,2,2,1)),rewrite(2387(11),2484(24),2285(14),46(12),2285(3)),flip(a)]. given #360 (T,wt=23): 3791 f(x,f(f(f(x,f(y,f(z,x))),f(y,f(z,x))),f(z,x))) = f(z,x). [para(20(a,1),3450(a,1,2,1,1,1)),rewrite(2286(3))]. given #361 (A,wt=57): 109 f(f(x,y),f(y,f(f(f(f(f(y,x),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(y,u)))),f(f(f(y,y),z),f(f(f(f(f(y,y),z),z),y),f(y,u)))),y),f(v,y)))) = y. [para(82(a,1),4(a,1,2,2,2))]. given #362 (F,wt=41): 6907 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(6473(a,1),3794(a,1,2,1,1))]. given #363 (F,wt=43): 4791 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(4566(a,1),2288(a,1,2,2,1,1,1))]. given #364 (F,wt=43): 4793 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(4566(a,1),2353(a,1,2,2,1,1,1))]. given #365 (F,wt=43): 4983 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(4863(a,1),2288(a,1,2,2,1,1,1))]. given #366 (T,wt=23): 3793 f(x,f(f(f(x,f(y,f(x,z))),f(y,f(x,z))),f(x,z))) = f(x,z). [para(77(a,1),3450(a,1,2,1,1,1)),rewrite(2285(3))]. given #367 (T,wt=23): 3863 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),3451(a,1,2,1,1,2)),rewrite(2(16))]. given #368 (T,wt=23): 3868 f(f(f(x,y),z),f(f(f(f(f(x,y),z),x),x),f(x,y))) = f(x,y). [para(77(a,1),3451(a,1,2,1,1,2)),rewrite(77(8))]. given #369 (T,wt=23): 3899 f(f(x,y),f(f(y,f(f(f(f(y,x),f(y,z)),f(y,z)),y)),y)) = y. [para(3451(a,1),3450(a,1,2,1,1))]. given #370 (A,wt=55): 110 f(f(x,f(y,z)),f(f(f(f(y,z),f(y,z)),u),f(f(f(f(f(f(y,z),x),u),u),f(y,z)),f(f(f(f(y,z),f(y,z)),v),f(f(f(f(z,v),v),f(y,z)),z))))) = f(y,z). [para(44(a,1),7(a,1,1,2)),rewrite(44(16),44(17),44(20),44(24),44(39))]. given #371 (F,wt=43): 4986 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(4863(a,1),2353(a,1,2,2,1,1,1))]. given #372 (F,wt=43): 6107 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(4792(a,1),4566(a,1,2,1,1)),rewrite(4792(31),4792(34))]. given #373 (F,wt=43): 6186 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(6077(a,1),6077(a,1,2,1,2,2,1,1,1)),rewrite(2286(14))]. given #374 (F,wt=43): 6251 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(6081(a,1),6081(a,1,2,1,2,2,1,1,1)),rewrite(2286(14))]. given #375 (T,wt=23): 4061 f(f(f(f(x,f(x,x)),f(y,f(x,x))),f(y,f(x,x))),f(x,x)) = x. [para(3751(a,1),45(a,1,2,2,1)),rewrite(2387(11),2484(24),2285(14),46(12),2285(3)),flip(a)]. given #376 (T,wt=23): 4081 f(f(x,y),f(f(y,f(f(f(f(x,y),f(y,z)),f(y,z)),y)),y)) = y. [para(3449(a,1),3751(a,1,2,1,1))]. given #377 (T,wt=23): 4083 f(f(x,y),f(f(y,f(f(f(f(y,x),f(z,y)),f(z,y)),y)),y)) = y. [para(3450(a,1),3751(a,1,2,1,1))]. given #378 (T,wt=23): 4087 f(f(x,y),f(f(y,f(f(f(f(x,y),f(z,y)),f(z,y)),y)),y)) = y. [para(3751(a,1),3751(a,1,2,1,1))]. given #379 (A,wt=33): 116 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(44(a,1),82(a,1,2,1)),rewrite(44(25),44(28))]. given #380 (F,wt=43): 6275 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(2286(a,1),6165(a,1,1)),rewrite(2286(9),2286(13))]. given #381 (F,wt=43): 6282 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(6165(a,1),2743(a,1,2,1)),rewrite(6165(16),6165(30),6165(35))]. given #382 (F,wt=43): 6460 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(6234(a,1),2743(a,1,2,1)),rewrite(6234(16),6234(30),6234(35))]. given #383 (F,wt=43): 6575 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(6008(a,1),7(a,1,2,2,1,1,1,1))]. given #384 (T,wt=23): 4132 f(f(x,y),f(f(x,f(f(f(f(x,y),f(x,z)),f(x,z)),x)),x)) = x. [para(3451(a,1),3794(a,1,2,1,1))]. given #385 (T,wt=23): 4136 f(f(x,y),f(f(x,f(f(f(f(x,y),f(z,x)),f(z,x)),x)),x)) = x. [para(3794(a,1),3794(a,1,2,1,1))]. given #386 (T,wt=23): 4363 f(f(x,x),f(f(f(x,f(x,x)),f(f(x,x),y)),f(f(x,x),y))) = x. [para(20(a,1),4094(a,1,2,1,1,1)),rewrite(2285(13))]. given #387 (T,wt=23): 4470 f(f(x,x),f(f(f(x,f(x,x)),f(y,f(x,x))),f(y,f(x,x)))) = x. [para(20(a,1),4355(a,1,2,1,1,1)),rewrite(2285(13))]. given #388 (A,wt=45): 120 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(91(a,1),2(a,1,2,1))]. given #389 (F,wt=43): 6686 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(6016(a,1),81(a,1,2,2,1,1,1,1))]. given #390 (F,wt=43): 6721 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(6023(a,1),7(a,1,2,2,1,1,1,1))]. given #391 (F,wt=43): 6985 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(6216(a,1),3414(a,1,2,1,1))]. given #392 (F,wt=45): 6865 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(4566(a,1),6409(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite(4566(16))]. given #393 (T,wt=23): 4854 f(x,f(f(f(x,y),f(f(f(x,y),y),f(x,y))),f(x,y))) = f(x,y). [para(4566(a,1),4566(a,1,2,1,1)),rewrite(4566(11),4566(14))]. given #394 (T,wt=23): 4944 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))),f(x,x)) = x. [para(4863(a,1),577(a,1,1,2,2)),rewrite(4935(4))]. given #395 (T,wt=23): 4945 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))),f(x,x)) = x. [para(577(a,1),4863(a,1,2,2)),rewrite(4935(6),4935(15),2286(22),4935(4)),flip(a)]. given #396 (T,wt=23): 5013 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x)))) = x. [para(4863(a,1),2725(a,1,2,2,2)),rewrite(4935(5))]. given #397 (A,wt=45): 122 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(91(a,1),2(a,1,2,2,1,1,1))]. given #398 (F,wt=45): 6867 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(4863(a,1),6409(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite(4863(16))]. given #399 (F,wt=45): 6873 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(5028(a,1),6409(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5028(16))]. given #400 (F,wt=45): 6874 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(5030(a,1),6409(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5030(16))]. given #401 (F,wt=45): 7384 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(6557(a,1),3751(a,1,2,1,1))]. given #402 (T,wt=23): 5014 f(f(x,x),f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z)))) = x. [para(2725(a,1),4863(a,1,2,2)),rewrite(4935(4),4935(12),4945(18),46(11),4945(10),4935(5)),flip(a)]. given #403 (T,wt=23): 5065 f(x,f(f(f(y,x),f(f(f(x,y),y),f(y,x))),f(y,x))) = f(y,x). [para(4863(a,1),4566(a,1,2,1,1)),rewrite(4863(11),4863(14))]. given #404 (T,wt=23): 5089 f(x,f(f(f(y,x),f(f(x,f(x,x)),f(y,x))),f(y,x))) = f(y,x). [back_rewrite(4828),rewrite(4935(3))]. given #405 (T,wt=23): 5090 f(x,f(f(f(x,y),f(f(x,f(x,x)),f(x,y))),f(x,y))) = f(x,y). [back_rewrite(4827),rewrite(4935(3))]. given #406 (A,wt=53): 188 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),f(f(y,x),v)))) = f(y,x). [para(20(a,1),5(a,1,1,1,2,1,1,1))]. given #407 (F,wt=45): 7412 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(6857(a,1),3751(a,1,2,1,1))]. given #408 (F,wt=45): 7590 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(6907(a,1),3794(a,1,2,1,1))]. given #409 (F,wt=47): 4831 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(4566(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(4566(16),4566(21))]. given #410 (F,wt=47): 5034 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(4863(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(4863(16),4863(21))]. given #411 (T,wt=23): 6632 f(f(x,y),f(f(y,f(f(f(y,x),f(f(y,x),f(y,x))),y)),y)) = y. [para(6008(a,1),3751(a,1,2,1,1))]. given #412 (T,wt=23): 6698 f(f(x,y),f(f(x,f(f(f(x,y),f(f(x,y),f(x,y))),x)),x)) = x. [para(6016(a,1),3794(a,1,2,1,1))]. given #413 (T,wt=23): 6753 f(f(x,y),f(f(y,f(f(f(x,y),f(f(x,y),f(x,y))),y)),y)) = y. [para(6023(a,1),3751(a,1,2,1,1))]. given #414 (T,wt=25): 2506 f(f(x,y),f(y,f(f(f(f(f(y,x),f(y,z)),f(y,z)),y),f(u,y)))) = y. [para(2285(a,1),96(a,1,2,1))]. given #415 (A,wt=55): 192 f(f(f(f(f(x,x),f(f(x,y),f(x,y))),f(f(f(x,y),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),f(f(y,x),v)))) = f(y,x). [para(77(a,1),5(a,1,1,1,2,1,1))]. given #416 (F,wt=47): 5035 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(4863(a,1),3677(a,1,1,1,2)),rewrite(4935(2),4863(12),4863(16),4863(21))]. given #417 (F,wt=47): 5036 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(3677(a,1),4863(a,1,2,2)),rewrite(4935(34),4935(40),3751(46),4935(2)),flip(a)]. given #418 (F,wt=47): 6310 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(6165(a,1),6077(a,1,2,1,2,2,1,1,1)),rewrite(2286(16))]. given #419 (F,wt=47): 6311 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(6077(a,1),6165(a,1,2,1,2,1,2,2,1,1,1)),rewrite(2286(14))]. given #420 (T,wt=25): 2527 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [back_rewrite(661),rewrite(2484(4))]. given #421 (T,wt=25): 2530 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(94),rewrite(2484(4))]. given #422 (T,wt=25): 2573 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))) = x. [back_rewrite(665),rewrite(2489(4))]. given #423 (T,wt=25): 2580 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(121),rewrite(2489(4))]. given #424 (A,wt=51): 194 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),f(x,x)),f(f(x,f(z,x)),f(f(z,x),v)))) = f(z,x). [para(77(a,1),5(a,1,2,2,1,1))]. given #425 (F,wt=47): 6391 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(2743(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(2743(22))]. given #426 (F,wt=47): 6392 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(2786(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(2786(22))]. given #427 (F,wt=47): 6431 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(6227(a,1),6077(a,1,2,1,2,2,1,1,1)),rewrite(2286(16))]. given #428 (F,wt=47): 6432 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(6081(a,1),6227(a,1,2,1,2,1,2,2,1,1,1)),rewrite(2286(14))]. given #429 (T,wt=25): 2581 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(2286(a,1),2(a,1,2,1))]. given #430 (T,wt=25): 2595 f(f(x,y),f(y,f(f(f(f(f(y,x),f(z,y)),f(z,y)),y),f(u,y)))) = y. [para(2286(a,1),96(a,1,2,1))]. given #431 (T,wt=25): 2705 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),2484(a,1,1,1)),rewrite(2(11),2(22))]. given #432 (T,wt=25): 2720 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(39(a,1),2484(a,1,1,1)),rewrite(39(11),39(22))]. given #433 (A,wt=49): 195 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),z))) = f(z,x). [para(77(a,1),5(a,1,2,2,2))]. given #434 (F,wt=47): 6487 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(6234(a,1),6081(a,1,2,1,2,2,1,1,1)),rewrite(2286(16))]. given #435 (F,wt=47): 6488 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(6081(a,1),6234(a,1,2,1,2,1,2,2,1,1,1)),rewrite(2286(14))]. given #436 (F,wt=47): 7011 f(f(f(f(x,y),f(f(f(x,f(x,x)),f(x,y)),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(5000(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5000(22))]. given #437 (F,wt=47): 7019 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(5002(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5002(22))]. given #438 (T,wt=25): 2727 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x)))) = x. [para(96(a,1),2484(a,1,1,1)),rewrite(96(11),96(22))]. given #439 (T,wt=25): 2728 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(399(a,1),2484(a,1,1,1)),rewrite(399(11),399(22))]. given #440 (T,wt=25): 2776 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(x,u)))) = x. [para(747(a,1),2489(a,1,1,1)),rewrite(747(11),747(22))]. given #441 (T,wt=25): 2777 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x)))) = x. [para(856(a,1),2489(a,1,1,1)),rewrite(856(11),856(22))]. given #442 (A,wt=37): 196 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),82(a,1,2,1)),rewrite(5(37),5(40))]. given #443 (F,wt=47): 7130 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(5006(a,1),6227(a,1,2,1,2,1,2,2,1,1,1,1)),rewrite(5006(22))]. given #444 (F,wt=47): 8217 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(6460(a,1),3414(a,1,2,1,1))]. given #445 (F,wt=47): 8898 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(6632(a,1),7(a,1,2,2,1,1,1,1))]. given #446 (F,wt=47): 9039 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(6698(a,1),81(a,1,2,2,1,1,1,1))]. given #447 (T,wt=25): 3195 f(f(f(x,x),y),f(f(f(f(f(x,f(x,x)),y),y),x),f(x,z))) = f(x,x). [para(20(a,1),2380(a,1,2,1,1,1,1,1)),rewrite(2285(9),2285(10))]. given #448 (T,wt=21): 10614 f(f(f(f(f(f(x,f(x,x)),y),y),x),f(x,z)),x) = f(x,x). [para(3195(a,1),82(a,1,2,1)),rewrite(3195(18),2285(10),3195(18))]. given #449 (T,wt=15): 10677 f(f(f(f(x,f(x,x)),y),y),x) = f(x,x). [para(2387(a,1),10614(a,1,1)),rewrite(2484(12))]. given #450 (T,wt=15): 10706 f(f(f(f(x,f(x,x)),y),y),f(x,x)) = x. [para(20(a,1),10677(a,1,1,1,1,2)),rewrite(4935(2),2285(9))]. given #451 (A,wt=53): 197 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),f(f(z,x),w)))) = f(z,x). [para(82(a,1),5(a,1,1,1,2,2))]. given #452 (F,wt=47): 9084 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(6753(a,1),7(a,1,2,2,1,1,1,1))]. given #453 (F,wt=49): 4795 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(4566(a,1),2359(a,1,2,1))]. given #454 (F,wt=49): 4988 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(4863(a,1),2359(a,1,2,1))]. given #455 (F,wt=49): 5050 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(3383(a,1),4863(a,2)),rewrite(4935(25),4935(37),4935(49),4863(68))]. given #456 (T,wt=11): 10878 f(x,f(x,f(x,y))) = f(x,y). [back_rewrite(7663),rewrite(10806(8))]. given #457 (T,wt=11): 10879 f(x,f(x,f(y,x))) = f(y,x). [back_rewrite(7560),rewrite(10806(8))]. given #458 (T,wt=11): 11022 f(f(x,y),f(f(x,y),y)) = y. [para(2(a,1),10878(a,1,2,2)),rewrite(2(15))]. given #459 (T,wt=11): 11032 f(f(x,y),f(f(x,y),x)) = x. [para(77(a,1),10878(a,1,2,2)),rewrite(77(7))]. given #460 (A,wt=53): 198 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),f(w,f(z,x))))) = f(z,x). [para(82(a,1),5(a,1,2,2,2))]. given #461 (F,wt=35): 11451 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(11022(a,1),7(a,1,2,2,1,1,1,1))]. given #462 (F,wt=35): 11648 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(11032(a,1),81(a,1,2,2,1,1,1,1))]. given #463 (F,wt=41): 11140 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(10878(a,1),6409(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite(10878(12))]. given #464 (F,wt=41): 11349 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(10879(a,1),6409(a,1,2,1,2,1,2,1,2,2,1,1,1,1)),rewrite(10879(12))]. given #465 (T,wt=15): 11515 f(f(x,y),f(f(y,f(f(x,y),y)),y)) = y. [para(11022(a,1),3751(a,1,2,1,1))]. given #466 (T,wt=15): 11661 f(f(x,y),f(f(y,f(f(y,x),y)),y)) = y. [para(11032(a,1),3450(a,1,2,1,1))]. given #467 (T,wt=15): 11665 f(f(x,y),f(f(x,f(f(x,y),x)),x)) = x. [para(11032(a,1),3794(a,1,2,1,1))]. given #468 (T,wt=15): 11751 f(f(f(x,f(x,x)),y),y) = f(x,f(x,x)). [para(10677(a,1),11032(a,1,1)),rewrite(10677(6),10806(7),4935(2)),flip(a)]. NOTE: New constant: f(x,f(x,x)) = c_0. [new_symbol(12459)]. NOTE: New Function symbol precedence: lex([ c1, c2, c3, c_0, f ]). NOTE: sn=99, num_tables=183 NOTE: updating interpretation 1: c_0=1. given #469 (A,wt=47): 205 f(f(x,f(y,y)),f(f(y,z),f(f(f(f(f(f(y,y),x),z),z),f(y,y)),f(f(y,u),f(f(f(f(y,u),u),f(y,y)),f(f(y,y),v)))))) = f(y,y). [para(69(a,1),8(a,1,2,2,2,2,1,1,1,1)),rewrite(77(5),77(12))]. given #470 (F,wt=23): 13303 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(12550),rewrite(12616(9))]. given #471 (F,wt=23): 13306 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(12542),rewrite(12616(9))]. given #472 (F,wt=23): 13364 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(12374),rewrite(12616(9))]. given #473 (F,wt=25): 14531 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(13156),rewrite(13294(2),2285(3),2285(3),13294(3,R))]. given #474 (T,wt=7): 12616 f(x,f(x,x)) = c_0. [new_symbol(12459)]. given #475 (T,wt=7): 13294 f(c_0,x) = f(x,x). [back_rewrite(12565),rewrite(12616(4),12616(5),12616(8),13282(8),12798(5),12616(3)),flip(a)]. given #476 (T,wt=7): 13330 f(x,f(c_0,c_0)) = c_0. [back_rewrite(12480),rewrite(12616(2),12616(3),12616(4),2386(6),12616(6))]. given #477 (T,wt=7): 13333 f(c_0,f(x,x)) = x. [back_rewrite(12475),rewrite(12616(2),12616(5),13294(5),12616(5),13294(5),4935(5),12616(5),13294(5),2727(14),55(4))]. given #478 (A,wt=43): 242 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(f(x,z),f(f(f(f(f(f(x,x),u),z),z),f(x,x)),f(f(x,x),v)))))) = f(x,x). [para(230(a,1),8(a,1,2,2,1,1,1,1)),rewrite(77(5),77(3),77(8))]. given #479 (F,wt=23): 16727 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(13294(a,2),96(a,1,2,2))]. given #480 (F,wt=23): 16744 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(13294(a,2),2527(a,1,2,2))]. given #481 (F,wt=23): 16745 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(13294(a,2),2573(a,1,2,2))]. given #482 (F,wt=25): 14536 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(13139),rewrite(13294(2),2285(3),2286(3),13294(3,R))]. given #483 (T,wt=7): 13352 f(f(c_0,c_0),x) = c_0. [back_rewrite(12416),rewrite(12616(2),12616(3),12616(6))]. given #484 (T,wt=7): 13353 f(x,c_0) = f(x,x). [back_rewrite(12412),rewrite(12616(2))]. given #485 (T,wt=7): 13354 f(f(x,x),c_0) = x. [back_rewrite(12410),rewrite(12616(3))]. given #486 (T,wt=7): 14396 f(f(x,x),x) = c_0. [back_rewrite(4935),rewrite(12616(4))]. given #487 (A,wt=57): 280 f(f(f(f(x,x),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))),f(f(f(y,f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(y,u)))),x),f(x,v))),f(x,x)) = x. [para(6(a,1),82(a,1,2,1)),rewrite(6(52),6(54))]. given #488 (F,wt=25): 16238 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),13303(a,1,1)),rewrite(13294(3,R),2(15))]. given #489 (F,wt=25): 16244 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(77(a,1),13303(a,1,1)),rewrite(13294(3,R),77(7))]. given #490 (F,wt=25): 16796 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(20(a,1),16727(a,1,2,2,2,1,1,1)),rewrite(2286(3),13294(3,R))]. given #491 (F,wt=25): 16798 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(77(a,1),16727(a,1,2,2,2,1,1,1)),rewrite(2285(3),13294(3,R))]. given #492 (T,wt=11): 13428 f(x,f(f(f(x,y),y),c_0)) = c_0. [back_rewrite(11761),rewrite(12616(4),12616(7))]. given #493 (T,wt=11): 13472 f(x,f(f(f(x,x),y),c_0)) = c_0. [back_rewrite(10975),rewrite(12616(4),12616(7))]. given #494 (T,wt=11): 13474 f(f(f(f(x,x),y),c_0),x) = c_0. [back_rewrite(10973),rewrite(12616(4),12616(7))]. given #495 (T,wt=11): 13486 f(x,f(f(y,f(x,x)),c_0)) = c_0. [back_rewrite(10958),rewrite(12616(4),12616(7))]. given #496 (A,wt=57): 281 f(f(x,y),f(f(f(y,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))),f(f(f(x,f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))),y),f(y,v)))) = y. [para(82(a,1),6(a,1,2,1,2,2,2)),rewrite(82(22))]. given #497 (F,wt=27): 16286 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(13303(a,1),4566(a,1,2,1,1)),rewrite(13303(22),13303(24))]. given #498 (F,wt=27): 16423 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(13306(a,1),4566(a,1,2,1,1)),rewrite(13306(22),13306(24))]. given #499 (F,wt=27): 16563 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(13364(a,1),4566(a,1,2,1,1)),rewrite(13364(22),13364(24))]. given #500 (F,wt=27): 16638 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(10878(a,1),13364(a,1,2,2,1,1,1,1))]. given #501 (T,wt=11): 13488 f(f(f(x,f(y,y)),c_0),y) = c_0. [back_rewrite(10956),rewrite(12616(4),12616(7))]. given #502 (T,wt=11): 13494 f(f(x,x),f(f(y,x),c_0)) = c_0. [back_rewrite(10947),rewrite(12616(4),12616(7))]. given #503 (T,wt=11): 13498 f(f(f(x,y),c_0),f(y,y)) = c_0. [back_rewrite(10943),rewrite(12616(3),12616(7))]. given #504 (T,wt=11): 13515 f(f(x,x),f(f(x,y),c_0)) = c_0. [back_rewrite(10920),rewrite(12616(4),12616(7))]. given #505 (A,wt=37): 13177 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(10941),rewrite(12615(6),12616(3),12616(7))]. given #506 (F,wt=23): 19384 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(18956),rewrite(19221(3),10878(3),19222(5),19222(8),19304(8),19222(8),19222(11),19304(11),19222(6))]. given #507 (F,wt=23): 19857 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(17074),rewrite(19222(5),19222(8),19304(8),19222(9),19222(12),19304(12),19222(7))]. given #508 (F,wt=23): 19875 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(16988),rewrite(19222(5),19222(8),19304(8),19222(9),19222(12),19304(12),19222(7))]. given #509 (F,wt=23): 19889 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(16890),rewrite(19222(3),19222(5),19304(5),19222(2),19222(4),19304(4),19222(7))]. given #510 (T,wt=11): 13519 f(f(f(x,y),c_0),f(x,x)) = c_0. [back_rewrite(10916),rewrite(12616(3),12616(7))]. given #511 (T,wt=11): 14382 f(f(x,x),f(c_0,f(x,y))) = c_0. [back_rewrite(5045),rewrite(12616(3),12616(7))]. given #512 (T,wt=11): 14383 f(f(x,x),f(c_0,f(y,x))) = c_0. [back_rewrite(5043),rewrite(12616(3),12616(7))]. given #513 (T,wt=11): 14387 f(x,f(c_0,f(x,y))) = f(x,y). [back_rewrite(5030),rewrite(12616(2))]. given #514 (A,wt=37): 13178 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(10914),rewrite(12615(6),12616(3),12616(7))]. given #515 (F,wt=25): 19752 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(17838),rewrite(19222(6),19222(8),19304(8),19222(5),19222(7),19304(7),19222(9),19222(11),19304(11),19222(8),19222(10),19304(10),19222(7))]. given #516 (F,wt=25): 19767 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(17738),rewrite(19222(6),19222(8),19304(8),19222(5),19222(7),19304(7),19222(9),19222(11),19304(11),19222(8),19222(10),19304(10),19222(7))]. given #517 (F,wt=25): 19833 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(17154),rewrite(19222(9),19222(14),19304(14),19222(10),19222(15),19304(15),19222(6))]. given #518 (F,wt=25): 19924 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(16681),rewrite(19222(9),19222(14),19304(14),19222(10),19222(15),19304(15),19222(6))]. given #519 (T,wt=11): 14389 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(5028),rewrite(12616(2))]. given #520 (T,wt=11): 14429 f(x,f(c_0,f(y,f(x,x)))) = c_0. [back_rewrite(4239),rewrite(12616(2),12616(7))]. given #521 (T,wt=11): 14431 f(x,f(c_0,f(f(x,x),y))) = c_0. [back_rewrite(3996),rewrite(12616(2),12616(7))]. given #522 (T,wt=11): 14553 f(c_0,f(c_0,f(x,y))) = f(x,y). [back_rewrite(12898),rewrite(13263(8),13294(4,R))]. given #523 (A,wt=37): 13234 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(2605),rewrite(12615(6),12616(3))]. given #524 (F,wt=27): 23517 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). [para(19857(a,1),19857(a,1,2,2,2,1,2)),rewrite(21945(12),19222(13),14387(15))]. given #525 (F,wt=27): 23523 f(f(x,y),f(y,f(f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y))),y))) = y # label(false). [para(19875(a,1),19875(a,1,2,2,2,1,2)),rewrite(21944(12),19222(13),14387(15))]. given #526 (F,wt=27): 23529 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). [para(19857(a,1),19889(a,1,2,2,2,1,2)),rewrite(21945(12),19222(13),14387(15))]. given #527 (F,wt=27): 23659 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(21405),rewrite(23534(13))]. given #528 (T,wt=11): 15971 f(f(c_0,f(x,y)),x) = f(x,y). [back_rewrite(2489),rewrite(13294(3,R))]. given #529 (T,wt=11): 15973 f(f(c_0,f(x,y)),y) = f(x,y). [back_rewrite(2484),rewrite(13294(3,R))]. given #530 (T,wt=11): 18298 f(f(c_0,f(f(x,x),y)),x) = c_0. [para(13353(a,1),13474(a,1,1)),rewrite(13294(5,R))]. given #531 (T,wt=11): 19049 f(f(c_0,f(x,f(y,y))),y) = c_0. [para(13353(a,1),13488(a,1,1)),rewrite(13294(5,R))]. given #532 (A,wt=37): 13235 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(2518),rewrite(12615(6),12616(3))]. given #533 (F,wt=27): 23660 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(21402),rewrite(23534(13))]. given #534 (F,wt=27): 23663 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(21399),rewrite(23534(13))]. given #535 (F,wt=27): 24082 f(f(x,y),f(c_0,f(f(f(f(y,y),z),f(c_0,f(f(z,f(f(y,x),z)),y))),y))) = c_0 # label(false). [para(19857(a,1),23659(a,1,2,2,2,2,2,1,2)),rewrite(21945(13),19222(14),14387(16),10879(14))]. given #536 (F,wt=27): 24142 f(f(x,y),f(c_0,f(f(f(f(y,y),z),f(c_0,f(f(z,f(f(x,y),z)),y))),y))) = c_0 # label(false). [para(19875(a,1),23660(a,1,2,2,2,2,2,1,2)),rewrite(21944(13),19222(14),14387(16),10879(14))]. given #537 (T,wt=11): 19101 f(f(c_0,f(x,y)),f(x,x)) = c_0. [para(2285(a,1),13494(a,1,2,1)),rewrite(13294(3,R),13353(5))]. given #538 (T,wt=11): 19102 f(f(c_0,f(x,y)),f(y,y)) = c_0. [para(2286(a,1),13494(a,1,2,1)),rewrite(13294(3,R),13353(5))]. given #539 (T,wt=11): 19221 f(f(x,y),x) = f(x,f(x,y)). [back_rewrite(14873),rewrite(19101(6),14389(5))]. given #540 (T,wt=11): 19222 f(f(x,y),y) = f(y,f(x,y)). [back_rewrite(14830),rewrite(19101(6),14389(5))]. given #541 (A,wt=31): 13470 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(10977),rewrite(13294(3,R),12616(5))]. given #542 (F,wt=29): 19909 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(16815),rewrite(19222(3),19222(5),19304(5),19222(10))]. given #543 (F,wt=29): 21790 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(17044),rewrite(19222(8))]. given #544 (F,wt=29): 21829 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(16969),rewrite(19222(8))]. given #545 (F,wt=29): 21914 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(16795),rewrite(19222(8))]. given #546 (T,wt=11): 19228 f(f(x,y),f(x,f(x,y))) = x. [back_rewrite(14621),rewrite(19101(5),19221(4),10878(4),15971(4),19221(3),10878(4),19221(3))]. given #547 (T,wt=11): 19304 f(f(x,y),f(y,f(x,y))) = y. [back_rewrite(14625),rewrite(19102(5),19221(4),10879(4),15973(4),19222(3),10879(4),19222(3))]. given #548 (T,wt=11): 19419 f(f(x,y),f(y,f(y,x))) = y. [back_rewrite(18904),rewrite(19221(4),19221(5),10878(5),19221(4),19164(8),19221(3))]. given #549 (T,wt=11): 19696 f(x,f(c_0,f(y,f(x,y)))) = c_0. [back_rewrite(18120),rewrite(19222(4),19221(7),14553(7))]. given #550 (A,wt=31): 13471 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(10976),rewrite(13294(3,R),12616(5))]. given #551 (F,wt=29): 23655 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(21411),rewrite(23534(14))]. given #552 (F,wt=29): 23665 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(21397),rewrite(23534(14))]. given #553 (F,wt=29): 23667 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(21395),rewrite(23534(11),23534(15))]. given #554 (F,wt=29): 23669 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(21393),rewrite(23534(11),23534(15))]. given #555 (T,wt=11): 21388 f(f(c_0,f(x,f(y,x))),y) = c_0. [back_rewrite(18121),rewrite(19222(3))]. given #556 (T,wt=11): 23245 f(f(x,y),f(c_0,f(x,y))) = c_0. [back_rewrite(14294),rewrite(21751(9),19102(5)),flip(a)]. given #557 (T,wt=11): 23534 f(f(x,y),c_0) = f(c_0,f(x,y)). [para(14382(a,1),2286(a,1,2)),rewrite(13294(7,R),14553(5))]. given #558 (T,wt=11): 23776 f(f(x,y),f(c_0,f(y,x))) = c_0. [back_rewrite(19697),rewrite(23534(4))]. given #559 (A,wt=35): 13477 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(10968),rewrite(13294(3,R),12616(5),13294(17,R))]. given #560 (F,wt=27): 24681 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). [para(19857(a,1),21388(a,1,1,2,2)),rewrite(24268(11))]. given #561 (F,wt=27): 24683 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). [para(19875(a,1),21388(a,1,1,2,2)),rewrite(24269(11))]. given #562 (F,wt=27): 24684 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). [para(19889(a,1),21388(a,1,1,2,2)),rewrite(24268(11))]. given #563 (F,wt=27): 24717 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(19857(a,1),23776(a,1,1))]. given #564 (T,wt=11): 24707 f(f(c_0,f(x,y)),f(y,x)) = c_0. [para(19419(a,1),21388(a,1,1,2,2)),rewrite(19221(4),10878(4))]. given #565 (T,wt=11): 24716 f(f(x,y),f(x,f(y,x))) = x. [para(23776(a,1),19857(a,1,2,2,2,1,2)),rewrite(14383(6),19221(8),14553(8),19222(5),14553(7))]. given #566 (T,wt=13): 20715 f(x,f(f(x,y),f(y,x))) = f(x,y). [back_rewrite(11855),rewrite(19221(2),19222(4),19228(4),19222(4),19222(6),19304(6),19222(3),19222(5),19304(5))]. given #567 (T,wt=15): 16159 f(f(x,f(y,z)),f(c_0,f(y,z))) = f(y,z). [back_rewrite(13161),rewrite(15971(7),13294(5,R))]. given #568 (A,wt=39): 13478 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(10966),rewrite(13294(3,R),12616(5),13294(19,R))]. given #569 (F,wt=27): 24719 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(19875(a,1),23776(a,1,1))]. given #570 (F,wt=27): 24721 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(19889(a,1),23776(a,1,1))]. given #571 (F,wt=27): 24891 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(24717(a,1),21388(a,1,1,2,2)),rewrite(19221(16),14553(16))]. given #572 (F,wt=27): 24899 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(19875(a,1),24707(a,1,2))]. given #573 (T,wt=15): 19231 f(x,f(c_0,f(f(x,f(x,y)),y))) = f(x,y). [back_rewrite(14590),rewrite(19221(2),10878(3),19221(2),19222(4),19228(4),19101(5))]. given #574 (T,wt=15): 20687 f(x,f(f(y,f(x,y)),f(y,x))) = f(y,x). [back_rewrite(11996),rewrite(19222(2),10879(3),19222(2),19222(4),19304(4),19222(2))]. given #575 (T,wt=15): 23246 f(f(f(x,y),z),f(c_0,f(x,y))) = f(x,y). [back_rewrite(14136),rewrite(23245(10),15973(7),13294(5,R))]. given #576 (T,wt=15): 24314 f(f(c_0,f(f(c_0,f(x,y)),z)),f(x,y)) = c_0. [para(23659(a,1),13470(a,1,2,1,1,2)),rewrite(13294(8,R),2285(11),13294(5,R),23659(20),23534(8),14389(12),23659(22))]. given #577 (A,wt=31): 13484 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(10960),rewrite(13294(3,R),12616(5))]. given #578 (F,wt=27): 24901 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(19889(a,1),24707(a,1,2))]. given #579 (F,wt=29): 24688 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). [para(19752(a,1),21388(a,1,1,2,2)),rewrite(24273(14))]. given #580 (F,wt=29): 24690 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). [para(19767(a,1),21388(a,1,1,2,2)),rewrite(24275(14))]. given #581 (F,wt=29): 24692 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). [para(19833(a,1),21388(a,1,1,2,2)),rewrite(24277(13))]. given #582 (T,wt=15): 24318 f(f(c_0,f(f(x,y),z)),f(c_0,f(x,y))) = c_0. [para(19101(a,1),13470(a,1,2,1,1,2)),rewrite(13294(14,R),14553(12),2285(11),13294(11,R),14553(9),19101(11),23534(8),14389(14),19101(13))]. given #583 (T,wt=15): 24755 f(x,f(c_0,f(f(x,f(x,y)),f(y,x)))) = c_0. [para(19419(a,1),23776(a,1,1))]. given #584 (T,wt=15): 24756 f(f(f(x,f(x,y)),f(y,x)),f(x,x)) = c_0. [para(19419(a,1),23776(a,1,2,2)),rewrite(13294(6))]. given #585 (T,wt=15): 24893 f(x,f(c_0,f(f(x,f(y,x)),f(x,y)))) = c_0. [para(23776(a,1),24717(a,1,2,2,1,2,2,1,2)),rewrite(14383(6),19221(8),14553(8),19222(5),14553(7))]. given #586 (A,wt=31): 13485 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(10959),rewrite(13294(3,R),12616(5))]. given #587 (F,wt=29): 24695 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). [para(19924(a,1),21388(a,1,1,2,2)),rewrite(24279(13))]. given #588 (F,wt=29): 24726 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(19752(a,1),23776(a,1,1))]. given #589 (F,wt=29): 24729 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(19767(a,1),23776(a,1,1))]. given #590 (F,wt=29): 24732 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(19833(a,1),23776(a,1,1))]. given #591 (T,wt=15): 24933 f(f(x,x),f(f(x,f(x,y)),f(y,x))) = c_0. [para(19419(a,1),24707(a,1,1,2)),rewrite(13294(2))]. given #592 (T,wt=15): 24934 f(f(c_0,f(f(x,f(x,y)),f(y,x))),x) = c_0. [para(19419(a,1),24707(a,1,2))]. given #593 (T,wt=15): 24982 f(f(f(x,f(y,x)),f(x,y)),f(x,x)) = c_0. [para(24716(a,1),23776(a,1,2,2)),rewrite(13294(6))]. given #594 (T,wt=15): 24985 f(f(x,x),f(f(x,f(y,x)),f(x,y))) = c_0. [para(24716(a,1),24707(a,1,1,2)),rewrite(13294(2))]. given #595 (A,wt=35): 13491 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(10951),rewrite(13294(3,R),12616(5),13294(17,R))]. given #596 (F,wt=29): 24735 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(19924(a,1),23776(a,1,1))]. given #597 (F,wt=29): 24906 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(19752(a,1),24707(a,1,2))]. given #598 (F,wt=29): 24909 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(19767(a,1),24707(a,1,2))]. given #599 (F,wt=29): 24912 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(19833(a,1),24707(a,1,2))]. given #600 (T,wt=15): 24986 f(f(c_0,f(f(x,f(y,x)),f(x,y))),x) = c_0. [para(24716(a,1),24707(a,1,2))]. given #601 (T,wt=15): 25062 f(f(c_0,f(x,y)),f(f(x,y),z)) = f(x,y). [para(16159(a,1),2386(a,1,2,1)),rewrite(13294(13,R),14553(11))]. given #602 (T,wt=15): 25063 f(f(c_0,f(x,y)),f(z,f(x,y))) = f(x,y). [para(16159(a,1),2387(a,1,2,2)),rewrite(13294(13,R),14553(11))]. given #603 (T,wt=15): 25068 f(f(x,y),f(c_0,f(f(c_0,f(x,y)),z))) = c_0. [para(16159(a,1),14382(a,1,1))]. given #604 (A,wt=39): 13492 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(10949),rewrite(13294(3,R),12616(5),13294(19,R))]. given #605 (F,wt=29): 24915 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(19924(a,1),24707(a,1,2))]. given #606 (F,wt=29): 24952 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(19752(a,1),24716(a,1,1))]. given #607 (F,wt=29): 24954 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(19767(a,1),24716(a,1,1))]. given #608 (F,wt=29): 24956 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(19833(a,1),24716(a,1,1))]. given #609 (T,wt=15): 25069 f(f(c_0,f(x,f(y,z))),f(c_0,f(y,z))) = c_0. [para(16159(a,1),14382(a,1,2,2)),rewrite(13294(5,R))]. given #610 (T,wt=15): 25070 f(f(x,y),f(c_0,f(z,f(c_0,f(x,y))))) = c_0. [para(16159(a,1),14383(a,1,1))]. given #611 (T,wt=15): 25073 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,y)))) = c_0. [para(16159(a,1),14429(a,1,2,2,2))]. given #612 (T,wt=15): 25074 f(f(c_0,f(x,y)),f(c_0,f(f(x,y),z))) = c_0. [para(16159(a,1),14431(a,1,2,2,1))]. given #613 (A,wt=37): 13499 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(10942),rewrite(13294(6,R),12616(7))]. given #614 (F,wt=29): 24958 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(19924(a,1),24716(a,1,1))]. given #615 (F,wt=29): 25613 f(f(c_0,f(x,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(2285(a,1),24692(a,1,1,2,1)),rewrite(2285(5),13294(3),2285(9))]. given #616 (F,wt=29): 25615 f(f(c_0,f(x,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(2286(a,1),24692(a,1,1,2,1)),rewrite(2286(5),13294(3),2286(9))]. given #617 (F,wt=29): 25936 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(24726(a,1),19889(a,1,2,2,2,1,2)),rewrite(14383(17),19221(19),14553(19),19222(16),14553(18))]. given #618 (T,wt=15): 25080 f(f(c_0,f(x,f(c_0,f(y,z)))),f(y,z)) = c_0. [para(16159(a,1),19102(a,1,2))]. given #619 (T,wt=15): 25268 f(f(f(x,f(x,y)),y),f(c_0,f(x,y))) = c_0. [para(19231(a,1),14383(a,1,2,2)),rewrite(13294(11,R),14553(7))]. given #620 (T,wt=15): 25297 f(f(c_0,f(x,y)),f(f(x,f(x,y)),y)) = c_0. [para(19231(a,1),19102(a,1,1,2)),rewrite(13294(14,R),14553(10))]. given #621 (T,wt=15): 27082 f(f(f(x,f(x,y)),y),x) = f(x,f(x,y)). [para(25268(a,1),19857(a,1,2,2,2,1,2)),rewrite(13294(8,R),25069(11),19221(10),14553(10),19228(9),13294(6),13333(6))]. given #622 (A,wt=37): 13520 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(10915),rewrite(13294(6,R),12616(7))]. given #623 (F,wt=29): 25943 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(24726(a,1),23659(a,1,2,2,2,2,2,1,2)),rewrite(14383(18),19221(20),14553(20),19222(17),14553(19),10879(16))]. given #624 (F,wt=29): 25961 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(24726(a,1),24684(a,1,1,2,2,2,2,1,2)),rewrite(14383(17),19221(19),14553(19),19222(16),14553(18),10879(15))]. given #625 (F,wt=29): 26025 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(2285(a,1),24732(a,1,1)),rewrite(2285(5),13294(3),2285(9))]. given #626 (F,wt=29): 26027 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(2286(a,1),24732(a,1,1)),rewrite(2286(5),13294(3),2286(9))]. given #627 (T,wt=15): 27084 f(f(f(x,f(x,y)),y),f(y,f(x,y))) = y. [para(25268(a,1),19875(a,1,2,2,2,1,2)),rewrite(14383(8),19221(10),14553(10),19222(7),14553(9))]. given #628 (T,wt=15): 27086 f(f(x,f(y,f(y,x))),y) = f(y,f(y,x)). [para(25268(a,1),19889(a,1,2,2,2,1,2)),rewrite(13294(8,R),25069(11),19221(10),14553(10),19228(9),13294(6),13333(6))]. given #629 (T,wt=15): 27096 f(f(x,f(y,f(y,x))),f(c_0,f(y,x))) = c_0. [para(25268(a,1),23659(a,1,2,2,2,2,2,1,2)),rewrite(13294(11,R),25069(14),19221(13),14553(13),19228(12),13294(9),13333(9),19221(7),10878(7))]. given #630 (T,wt=15): 27111 f(f(c_0,f(x,y)),f(y,f(x,f(x,y)))) = c_0. [para(25268(a,1),24684(a,1,1,2,2,2,2,1,2)),rewrite(13294(8,R),25069(11),19221(10),14553(10),19228(9),13294(6),13333(6),19221(4),10878(4))]. given #631 (A,wt=45): 14499 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(f(x,f(y,y)),u))),f(c_0,f(x,f(y,y)))) = f(x,f(y,y)). [back_rewrite(10519),rewrite(13294(5,R),13294(21,R))]. given #632 (F,wt=29): 26283 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(24735(a,1),19889(a,1,2,2,2,1,2)),rewrite(14383(16),19221(18),14553(18),19222(15),14553(17))]. given #633 (F,wt=29): 26286 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(24735(a,1),23659(a,1,2,2,2,2,2,1,2)),rewrite(14383(17),19221(19),14553(19),19222(16),14553(18),10879(15))]. given #634 (F,wt=29): 26298 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(24735(a,1),24684(a,1,1,2,2,2,2,1,2)),rewrite(14383(16),19221(18),14553(18),19222(15),14553(17),10879(14))]. given #635 (F,wt=29): 26409 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(2285(a,1),24912(a,1,1,2,1,1,1,2)),rewrite(13294(3),2285(9),2285(16))]. given #636 (T,wt=15): 27237 f(f(x,f(f(x,f(x,y)),y)),f(x,y)) = x. [para(27082(a,1),24716(a,1,2,2)),rewrite(10878(7))]. given #637 (T,wt=15): 27681 f(f(x,f(y,f(x,f(x,y)))),f(x,y)) = x. [para(27086(a,1),24716(a,1,2,2)),rewrite(10878(7))]. given #638 (T,wt=15): 27749 f(f(x,f(y,f(y,x))),f(x,f(y,x))) = x. [para(27096(a,1),19857(a,1,2,2,2,1,2)),rewrite(14383(8),19221(10),14553(10),19222(7),14553(9))]. given #639 (T,wt=17): 19248 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,z)))) = y. [back_rewrite(15856),rewrite(19102(5),19221(4),10879(4),15973(4),19222(4))]. given #640 (A,wt=45): 14500 f(f(f(f(c_0,f(x,f(y,y))),f(y,z)),f(f(f(y,f(y,z)),f(x,f(y,y))),f(f(x,f(y,y)),u))),f(c_0,f(x,f(y,y)))) = f(x,f(y,y)). [back_rewrite(10518),rewrite(13294(5,R),13294(21,R))]. given #641 (F,wt=29): 26411 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(2286(a,1),24912(a,1,1,2,1,1,1,2)),rewrite(13294(3),2286(9),2286(16))]. given #642 (F,wt=31): 19886 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(16894),rewrite(19222(3),19221(8),10879(8),19222(11))]. given #643 (F,wt=31): 23241 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(19760),rewrite(21505(16))]. given #644 (F,wt=31): 23242 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(19775),rewrite(21559(16))]. given #645 (T,wt=15): 28455 f(f(f(x,f(y,x)),f(x,z)),f(x,x)) = c_0. [para(19248(a,1),14383(a,1,2,2)),rewrite(13294(13,R),14553(8),13294(6))]. given #646 (T,wt=13): 28879 f(f(f(x,y),f(x,z)),f(x,x)) = c_0. [para(19221(a,1),28455(a,1,1,1,2)),rewrite(10878(3))]. given #647 (T,wt=13): 28881 f(f(f(x,y),f(y,z)),f(y,y)) = c_0. [para(19222(a,1),28455(a,1,1,1,2)),rewrite(10879(3))]. given #648 (T,wt=13): 28928 f(f(f(x,y),f(z,x)),f(x,x)) = c_0. [para(10879(a,1),28879(a,1,1,2))]. given #649 (A,wt=41): 14504 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(8144),rewrite(13294(5,R),13294(19,R))]. given #650 (F,wt=31): 23315 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(20043),rewrite(22418(15))]. given #651 (F,wt=31): 23332 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(20045),rewrite(22420(15))]. given #652 (F,wt=31): 23645 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(21421),rewrite(23534(5),14553(6),23534(10),14553(11),23534(13),14553(14),23534(17),14553(18))]. given #653 (F,wt=31): 23650 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(21416),rewrite(23534(7),23534(13),23534(18),14553(19))]. given #654 (T,wt=13): 28952 f(f(x,x),f(f(x,y),f(x,z))) = c_0. [para(28879(a,1),21388(a,1,1,2,2)),rewrite(23534(4),13333(4),13294(2))]. given #655 (T,wt=13): 28992 f(f(f(x,y),f(z,y)),f(y,y)) = c_0. [para(10879(a,1),28881(a,1,1,2))]. given #656 (T,wt=13): 29021 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [para(28881(a,1),21388(a,1,1,2,2)),rewrite(23534(4),13333(4),13294(2))]. given #657 (T,wt=13): 29022 f(f(x,x),f(f(x,y),f(z,x))) = c_0. [para(28881(a,1),24684(a,1,1,2,2,2,2,1,2)),rewrite(13294(5,R),19102(7),23534(7),13333(7),14553(8),19304(5),13294(2))]. given #658 (A,wt=41): 14505 f(f(f(f(c_0,f(x,f(y,y))),f(y,z)),f(f(f(y,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(8143),rewrite(13294(5,R),13294(19,R))]. given #659 (F,wt=31): 23651 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(21415),rewrite(23534(7),23534(14),14553(15),23534(14))]. given #660 (F,wt=31): 23652 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(21414),rewrite(23534(7),23534(13),23534(18),14553(19))]. given #661 (F,wt=31): 23653 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(21413),rewrite(23534(7),23534(14),14553(15),23534(14))]. given #662 (F,wt=31): 23654 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(21412),rewrite(23534(7),23534(13),14553(14))]. % Operation f is commutative; C redundancy checks enabled. given #663 (T,wt=7): 29777 f(x,y) = f(y,x). [para(19222(a,1),23654(a,1,2,2,1)),rewrite(25073(8),19304(5),14389(4))]. given #664 (T,wt=11): 29789 f(x,f(c_0,f(y,f(y,x)))) = c_0. [para(21388(a,1),23654(a,2)),rewrite(29777(2),29777(7),29777(10),29777(14),29777(17),29777(22),29777(25),29777(28),29777(31),29777(32),29777(34),29777(37),29788(37),29777(26),25060(26),14389(12))]. given #665 (T,wt=13): 29986 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [back_rewrite(28992),rewrite(29777(2),29777(5))]. given #666 (T,wt=13): 31432 f(f(c_0,c_0),f(f(x,x),f(y,z))) = c_0. [para(14553(a,1),29986(a,1,2,2)),rewrite(13353(5))]. given #667 (A,wt=19): 19230 f(x,f(c_0,f(f(x,f(x,y)),f(z,f(x,y))))) = f(x,y). [back_rewrite(14592),rewrite(19221(2),10878(3),19221(2),19222(4),19228(4),19101(5))]. given #668 (F,wt=23): 29823 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(23654(a,1),19886(a,1,1,1,1,2)),rewrite(29777(12),29777(13),29777(14),29777(16),29777(28),29777(29),29777(30),29777(31),29785(31),29777(18),29792(18),29777(15),29785(15),29777(3),29777(16),29777(17),29777(18),29777(19),29785(19),29777(6),29777(8))]. given #669 (F,wt=23): 30023 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(28714),rewrite(29777(2),29777(5),19228(5),29777(2),29777(3),29777(6),19228(6),29777(4),19228(4),29777(3),29777(6),29777(8))]. given #670 (F,wt=25): 29858 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(29693),rewrite(29777(4),29777(10),29777(12),29777(14),29777(15),29777(16),29831(16),29777(2),2285(3),29777(2),29777(4),29777(8),29777(9),29777(13))]. given #671 (F,wt=25): 30042 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(28669),rewrite(29777(4),29777(5),19304(5),29777(2),29777(3),29777(4),19304(4),29777(2),29777(4),29777(8),29777(9),19304(9),29777(8),29777(9),29777(13))]. given #672 (T,wt=11): 31449 f(x,f(c_0,f(y,x))) = f(y,x). [para(30023(a,1),2285(a,1,2)),rewrite(13353(3,R),29777(3),29777(4))]. given #673 (T,wt=11): 31450 f(f(x,x),f(c_0,f(y,x))) = c_0. [para(30023(a,1),14382(a,1,2,2)),rewrite(13353(3,R),29777(3),29777(5),13353(5),29777(5))]. given #674 (T,wt=11): 31452 f(x,f(x,f(y,x))) = f(y,x). [para(30023(a,1),19228(a,1,2,2)),rewrite(30023(11),29777(2))]. given #675 (T,wt=13): 31434 f(f(c_0,c_0),f(f(x,y),f(z,u))) = c_0. [para(16159(a,1),31432(a,1,2,1))]. given #676 (A,wt=17): 23189 f(x,f(f(x,y),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(11051),rewrite(19228(5),12616(3))]. given #677 (F,wt=25): 30868 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(23456),rewrite(29777(2),29777(4),29777(6),29777(8),29777(11),29777(14),30866(14),29777(4),29777(8),29777(9))]. given #678 (F,wt=25): 31373 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(19830),rewrite(29777(4),29777(8),29777(9),29777(14),29777(18),29777(19),29777(21),29777(24),30028(24),29777(11))]. given #679 (F,wt=25): 31422 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(31050),rewrite(29777(6),29777(8),31279(21),29777(11))]. given #680 (F,wt=25): 31460 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(29858(a,1),29777(a,2)),rewrite(29777(7),29777(9),29777(12))]. given #681 (T,wt=13): 31436 f(x,f(c_0,f(f(x,x),f(y,y)))) = c_0. [para(2387(a,1),19230(a,1,2,2,1)),rewrite(12616(4),13353(4),12616(8))]. given #682 (T,wt=13): 31475 f(f(c_0,c_0),f(x,f(c_0,f(y,z)))) = c_0. [para(25070(a,1),31450(a,1,2,2)),rewrite(13353(13,R),29777(8),14553(8),29777(8))]. given #683 (T,wt=13): 31513 f(x,f(c_0,f(f(x,x),f(y,z)))) = c_0. [para(16159(a,1),31436(a,1,2,2,2))]. given #684 (T,wt=15): 29054 f(f(x,f(y,f(x,z))),f(c_0,f(x,z))) = c_0. [para(77(a,1),28928(a,1,1,1)),rewrite(13294(6,R))]. given #685 (A,wt=21): 23487 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(20459),rewrite(23245(6))]. given #686 (F,wt=19): 31525 f(f(x,y),f(c_0,f(x,f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(30868(a,1),29054(a,1,1))]. given #687 (F,wt=19): 31526 f(f(x,y),f(c_0,f(y,f(f(x,y),f(z,f(y,z)))))) = c_0 # label(false). [para(31373(a,1),29054(a,1,1))]. given #688 (F,wt=19): 31552 f(x,f(c_0,f(f(x,y),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(20(a,1),31525(a,1,1)),rewrite(29777(2),29777(3),29777(5),2285(5),29777(3),29777(4))]. given #689 (F,wt=19): 31553 f(x,f(c_0,f(f(y,x),f(x,f(z,f(z,f(y,x))))))) = c_0 # label(false). [para(20(a,1),31525(a,1,2,2,2,1)),rewrite(20(3),29777(4))]. given #690 (T,wt=15): 29481 f(x,f(f(y,f(x,x)),f(z,f(x,x)))) = c_0. [para(13499(a,1),29021(a,1,2,2)),rewrite(13294(3,R),13333(3))]. given #691 (T,wt=15): 29987 f(f(x,f(y,f(z,x))),f(c_0,f(z,x))) = c_0. [back_rewrite(28989),rewrite(29777(3))]. given #692 (T,wt=15): 30030 f(x,f(y,f(x,f(y,x)))) = f(x,f(y,x)). [back_rewrite(28703),rewrite(29777(1),29777(3),29777(5),29777(8),19228(8),29777(1),29777(4),29777(5))]. given #693 (T,wt=15): 30033 f(f(x,f(y,x)),f(x,f(y,f(y,x)))) = x. [back_rewrite(28697),rewrite(29777(9),29777(10),19304(10),29777(3),29777(6))]. given #694 (A,wt=21): 23491 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(20431),rewrite(23245(6))]. given #695 (F,wt=25): 31467 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(30042(a,1),29777(a,2)),rewrite(29777(7),29777(9),29777(12))]. given #696 (F,wt=25): 31492 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(20(a,1),30868(a,1,2,1,2,2)),rewrite(29777(3),13353(3),20(7),29777(6),20(14))]. given #697 (F,wt=15): 31674 f(f(x,y),f(x,f(z,f(z,f(x,y))))) = x # label(false). [para(31492(a,1),30023(a,1,2,2,2,2,2)),rewrite(29777(3),29777(4),29777(10),29777(11),29777(12),29777(17),29777(18),13353(23,R),29777(18),14387(19),29777(17),29777(18),29777(23),29777(24),29777(25),29982(25),29777(19),31478(19),29777(11),30895(11),29777(1),29777(2)),flip(a)]. given #698 (F,wt=15): 31684 f(x,f(f(x,y),f(z,f(x,z)))) = f(x,y) # label(false). [para(20(a,1),31674(a,1,1)),rewrite(29777(1),29777(2),29777(4),2285(4),29777(2),29777(6))]. given #699 (T,wt=15): 30259 f(f(x,f(x,y)),f(x,f(y,f(x,y)))) = x. [back_rewrite(27765),rewrite(29777(1),29777(4),29777(6),13294(7,R),29777(6),14387(6),29777(4),29777(6))]. given #700 (T,wt=15): 30355 f(x,f(y,f(x,f(x,y)))) = f(x,f(x,y)). [back_rewrite(27248),rewrite(29777(1),29777(5),29777(6),19304(6),29777(3),29777(4),29777(5))]. given #701 (T,wt=13): 31774 f(x,f(f(x,x),f(y,z))) = f(x,x). [para(31513(a,1),30355(a,1,2,2,2)),rewrite(13353(7),29777(7),14387(7),31513(10),13353(6))]. given #702 (T,wt=15): 31228 f(x,f(c_0,f(y,f(x,f(x,y))))) = f(x,y). [back_rewrite(21214),rewrite(29777(2),29777(4),29777(6),29777(7),29777(8),29777(11),30895(11),29777(4))]. given #703 (A,wt=17): 23905 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(19039),rewrite(23534(4))]. given #704 (F,wt=15): 31685 f(x,f(f(y,x),f(z,f(x,z)))) = f(y,x) # label(false). [para(20(a,1),31674(a,1,2,2,2,2)),rewrite(20(3),29777(2))]. given #705 (F,wt=15): 31688 f(f(x,y),f(y,f(z,f(z,f(x,y))))) = y # label(false). [para(29777(a,1),31674(a,1,1)),rewrite(29777(2))]. given #706 (F,wt=19): 31686 f(f(x,y),f(c_0,f(x,f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(31674(a,1),19696(a,1,2,2,2)),rewrite(29777(7))]. given #707 (F,wt=19): 31689 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(x,z)))) = c_0 # label(false). [para(31674(a,1),29789(a,1,2,2,2)),rewrite(29777(7))]. given #708 (T,wt=15): 31419 f(x,f(c_0,f(y,f(x,f(y,x))))) = f(y,x). [back_rewrite(30865),rewrite(29777(2),29777(6),29777(7),29777(10),29777(11),30890(19),29777(6),29777(7))]. given #709 (T,wt=15): 31719 f(x,f(f(x,y),f(z,f(x,x)))) = f(x,y). [para(14429(a,1),31684(a,1,2,2,2)),rewrite(29777(7),14553(7))]. given #710 (T,wt=15): 31801 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,z))) = c_0. [para(20(a,1),23905(a,1,2,2,2))]. given #711 (T,wt=15): 31802 f(f(x,x),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(20(a,1),23905(a,1,2,2)),rewrite(13353(4,R),29777(4),29777(8),13353(8),29777(8))]. given #712 (A,wt=21): 23970 f(f(x,y),f(c_0,f(y,f(z,f(y,f(x,y)))))) = f(y,f(x,y)). [back_rewrite(20387),rewrite(23890(9))]. given #713 (F,wt=19): 31720 f(x,f(c_0,f(f(x,y),f(f(x,y),f(z,f(x,z)))))) = c_0 # label(false). [para(31684(a,1),19696(a,1,2,2,2)),rewrite(29777(7))]. given #714 (F,wt=19): 31724 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(z,f(x,z)))) = c_0 # label(false). [para(31684(a,1),29789(a,1,2,2,2)),rewrite(29777(9))]. given #715 (F,wt=19): 31823 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(z,f(x,z)))) = c_0 # label(false). [para(31685(a,1),29789(a,1,2,2,2)),rewrite(29777(9))]. given #716 (F,wt=19): 31839 f(f(x,y),f(c_0,f(y,f(y,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(31688(a,1),19696(a,1,2,2,2)),rewrite(29777(7))]. given #717 (T,wt=15): 31818 f(f(x,y),f(y,f(z,f(c_0,f(x,y))))) = y. [back_rewrite(30749),rewrite(31802(16),29777(10),14553(10),10878(8))]. given #718 (T,wt=15): 31893 f(f(x,y),f(x,f(z,f(c_0,f(x,y))))) = x. [para(19228(a,1),31719(a,1,2,1)),rewrite(13353(4,R),29777(4),19228(11))]. given #719 (T,wt=15): 31910 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,y)))) = c_0. [para(20(a,1),31801(a,1,1,2,2)),rewrite(29777(6))]. given #720 (T,wt=15): 31911 f(f(x,x),f(c_0,f(y,f(c_0,f(x,z))))) = c_0. [para(19228(a,1),31801(a,1,2,2)),rewrite(13353(4,R),29777(4),29777(8),13353(8),29777(8))]. given #721 (A,wt=21): 23972 f(f(x,y),f(c_0,f(x,f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [back_rewrite(20369),rewrite(23891(9))]. given #722 (F,wt=19): 31860 f(x,f(c_0,f(f(y,x),f(f(y,x),f(z,f(x,z)))))) = c_0 # label(false). [para(20(a,1),31686(a,1,2,2,2,2,2,2)),rewrite(20(3),29777(4))]. given #723 (F,wt=19): 31869 f(f(x,f(y,f(y,f(x,f(x,z))))),f(c_0,f(x,z))) = c_0 # label(false). [para(10878(a,1),31689(a,1,2,2))]. given #724 (F,wt=19): 31879 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(z,f(x,z)))) = c_0 # label(false). [para(30033(a,1),31689(a,1,1,2,2,2)),rewrite(29777(1),29777(3),29777(7),29777(9),29777(11),30259(14),29777(9),10878(9),29777(9))]. given #725 (F,wt=19): 31996 f(f(x,x),f(f(y,x),f(z,f(z,f(x,f(y,x)))))) = c_0 # label(false). [para(23970(a,1),31689(a,1,1,2,2,2)),rewrite(23970(16),19304(11),29777(8),13353(8),29777(8))]. given #726 (T,wt=15): 31915 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,x)))) = c_0. [para(31801(a,1),29777(a,1)),flip(a)]. given #727 (T,wt=15): 31944 f(x,f(c_0,f(y,f(c_0,f(z,f(x,x)))))) = c_0. [para(20(a,1),31802(a,1,1))]. given #728 (T,wt=15): 31991 f(f(x,y),f(y,f(z,f(y,f(x,y))))) = y. [para(23970(a,1),30355(a,1,2,2,2)),rewrite(19304(11),29777(8),14387(8),23970(15),19304(10))]. given #729 (T,wt=15): 32142 f(x,f(f(y,x),f(z,f(x,x)))) = f(y,x). [para(20(a,1),31893(a,1,2,2,2,2)),rewrite(20(3),29777(3),13353(3))]. given #730 (A,wt=31): 24498 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(19304(a,1),21829(a,1,2,2,2,1)),rewrite(19222(11))]. given #731 (F,wt=19): 32028 f(f(x,f(y,f(y,f(z,x)))),f(c_0,f(x,f(z,x)))) = c_0 # label(false). [para(20(a,1),31724(a,1,1,2,2)),rewrite(29777(3),20(7),29777(6),29777(9))]. given #732 (F,wt=19): 32041 f(f(c_0,f(x,y)),f(f(y,f(x,y)),f(z,f(y,z)))) = c_0 # label(false). [para(31452(a,1),31724(a,1,1,2))]. given #733 (F,wt=19): 32060 f(f(x,x),f(f(x,f(y,x)),f(z,f(z,f(y,x))))) = c_0 # label(false). [para(23970(a,1),31724(a,1,1,2,2)),rewrite(19304(5),29777(2),13353(2),23970(9),29777(5))]. given #734 (F,wt=19): 32064 f(f(x,x),f(f(x,y),f(z,f(z,f(x,f(x,y)))))) = c_0 # label(false). [para(10878(a,1),31823(a,1,1,2,2)),rewrite(29777(5),19228(5),29777(2),13353(2),10878(4),29777(5))]. given #735 (T,wt=15): 32146 f(f(x,y),f(x,f(z,f(x,f(x,y))))) = x. [para(23970(a,1),31893(a,1,2,2)),rewrite(29777(1),29777(5),10878(7),29777(6))]. given #736 (T,wt=15): 32380 f(f(c_0,c_0),f(x,f(y,f(c_0,f(z,x))))) = c_0. [para(31802(a,1),32028(a,1,1,2,2)),rewrite(29777(7),13333(7),29777(5),23245(17),29777(9))]. given #737 (T,wt=15): 32385 f(f(c_0,c_0),f(x,f(y,f(c_0,f(x,z))))) = c_0. [para(31911(a,1),32028(a,1,1,2,2)),rewrite(29777(7),13333(7),29777(5),23245(17),29777(9))]. given #738 (T,wt=15): 32473 f(f(x,f(x,y)),f(x,f(z,f(x,y)))) = x. [para(10878(a,1),32146(a,1,2,2,2))]. given #739 (A,wt=17): 25061 f(f(x,y),f(z,f(c_0,f(x,y)))) = f(c_0,f(x,y)). [para(16159(a,1),2286(a,1,1))]. given #740 (F,wt=19): 32065 f(f(x,x),f(f(x,f(x,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(19228(a,1),31823(a,1,1,2)),rewrite(29777(2),13353(2),29777(5))]. given #741 (F,wt=19): 32400 f(f(x,f(y,f(y,f(x,f(z,x))))),f(c_0,f(z,x))) = c_0 # label(false). [para(31452(a,1),32041(a,1,1,2)),rewrite(31452(8),29777(7),19304(7),29777(6),29777(9))]. given #742 (F,wt=23): 32238 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(20(a,1),31996(a,1,1))]. given #743 (F,wt=23): 32351 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(24498(a,1),31879(a,1,1,2)),rewrite(13333(3),32343(16),29777(4),29777(7),29777(9))]. given #744 (T,wt=17): 28468 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(x,z)))) = x. [para(19221(a,1),19248(a,1,1)),rewrite(19221(5),10878(6))]. given #745 (T,wt=15): 32564 f(f(x,x),f(c_0,f(f(x,y),f(x,z)))) = x. [para(28468(a,1),31449(a,1,2,2)),rewrite(29777(7),13353(7),29777(7),28468(15))]. given #746 (T,wt=17): 29821 f(f(x,y),f(c_0,f(f(y,z),f(y,f(x,y))))) = y. [para(23654(a,1),19248(a,1,2,2,2)),rewrite(29777(6))]. given #747 (T,wt=17): 29911 f(f(x,f(x,y)),f(f(z,x),f(x,y))) = f(x,y). [back_rewrite(29427),rewrite(29777(2),29777(4),29777(7),29777(9),19228(9),29777(2),29777(4),29777(6),29777(7))]. given #748 (A,wt=31): 27660 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(27086(a,1),21790(a,1,2,2,2,1,2)),rewrite(10878(11),19222(11))]. given #749 (F,wt=25): 31504 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(31373(a,1),29777(a,2)),rewrite(29777(6),29777(8),29777(11))]. given #750 (F,wt=15): 32717 f(x,f(f(y,f(y,x)),f(z,x))) = f(z,x) # label(false). [para(31504(a,1),30023(a,1,2,2,2,2,2)),rewrite(13353(21,R),29777(17),14387(18),29777(24),32634(24),29777(17),13353(17),29777(17),2285(17),29777(11),31504(11)),flip(a)]. given #751 (F,wt=15): 32721 f(x,f(f(y,f(y,x)),f(x,z))) = f(x,z) # label(false). [para(32717(a,1),29777(a,2)),rewrite(29777(3),29777(5),29777(6))]. given #752 (F,wt=19): 32722 f(f(c_0,f(x,f(x,y))),f(f(z,f(z,x)),f(x,y))) = c_0 # label(false). [para(32717(a,1),29789(a,1,2,2,2)),rewrite(29777(3),29777(6),29777(9))]. given #753 (T,wt=15): 32634 f(f(x,f(y,x)),f(x,f(z,f(y,x)))) = x. [para(20(a,1),29911(a,1,1,2)),rewrite(29777(2),20(7),29777(5),20(9))]. given #754 (T,wt=17): 29921 f(f(x,f(y,x)),f(f(y,x),f(x,z))) = f(y,x). [back_rewrite(29378),rewrite(29777(2),29777(4),29777(6),13294(7,R),29777(7),14387(7),29777(6))]. given #755 (T,wt=17): 29977 f(f(x,f(x,y)),f(f(x,z),f(x,y))) = f(x,y). [back_rewrite(29101),rewrite(29777(2),29777(4),29777(7),29777(9),19228(9),29777(2),29777(4),29777(6),29777(7))]. given #756 (T,wt=17): 29982 f(f(x,f(x,y)),f(f(x,y),f(x,z))) = f(x,y). [back_rewrite(29068),rewrite(29777(2),29777(4),29777(6),13294(7,R),29777(7),14387(7),29777(6))]. given #757 (A,wt=29): 29787 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(23654(a,1),23669(a,1,2,2,1)),rewrite(29777(15),29777(16),29777(17),29785(18),29777(6),29777(21),29777(22),29777(23),29785(24),29777(11))]. given #758 (F,wt=27): 29790 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). [para(23654(a,1),24681(a,1,1,2,2,2,2,1,2,1)),rewrite(29777(3),29777(6),29777(8),29777(24),29777(25),29777(26),29785(27),29777(14))]. given #759 (F,wt=27): 30575 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(25373),rewrite(29777(5),29777(9),19228(9),29777(4),29777(9),29777(13),19228(13),29777(8),29777(9))]. given #760 (F,wt=27): 31445 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(29823(a,1),29789(a,1,2,2,2)),rewrite(29777(12),29777(14))]. given #761 (F,wt=27): 31728 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(31684(a,1),30023(a,1,2,2,2,2,2)),rewrite(13353(9,R),29777(8),19696(9),29777(11),14553(13))]. given #762 (T,wt=17): 30856 f(x,f(c_0,f(f(y,y),f(c_0,f(z,f(x,z)))))) = c_0. [back_rewrite(23548),rewrite(29777(7))]. given #763 (T,wt=15): 33023 f(x,f(c_0,f(y,f(c_0,f(z,f(x,z)))))) = c_0. [para(20(a,1),30856(a,1,2,2,1))]. given #764 (T,wt=15): 33080 f(x,f(c_0,f(y,f(c_0,f(z,f(z,x)))))) = c_0. [para(33023(a,1),29777(a,1)),rewrite(29777(4),29777(9)),flip(a)]. given #765 (T,wt=15): 33138 f(f(c_0,f(x,f(x,y))),f(c_0,f(y,z))) = c_0. [para(19696(a,1),33080(a,1,2,2,2,2,2)),rewrite(29777(2),13353(8),13333(8),29777(6))]. given #766 (A,wt=23): 29812 f(x,f(f(y,f(x,y)),f(x,f(y,f(x,y))))) = f(x,f(y,f(x,y))). [para(25069(a,1),23654(a,1,2,1)),rewrite(29777(8),14387(10))]. given #767 (F,wt=27): 31827 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(31685(a,1),30023(a,1,2,2,2,2,2)),rewrite(13353(9,R),29777(8),19696(9),29777(11),14553(13))]. given #768 (F,wt=27): 32724 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(32717(a,1),29823(a,1,2,2,2,2,2)),rewrite(29777(3),13353(9,R),29777(8),29789(9),29777(9),14553(13))]. given #769 (F,wt=27): 32933 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(10878(a,1),31445(a,1,1,2))]. given #770 (F,wt=27): 32940 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(31452(a,1),31445(a,1,1,2))]. given #771 (T,wt=15): 33173 f(f(x,x),f(c_0,f(y,f(y,f(z,x))))) = c_0. [para(20(a,1),33138(a,1,2,2)),rewrite(29777(7),13353(7),29777(7))]. given #772 (T,wt=15): 33174 f(f(x,x),f(c_0,f(y,f(y,f(x,z))))) = c_0. [para(19228(a,1),33138(a,1,2,2)),rewrite(29777(7),13353(7),29777(7))]. given #773 (T,wt=15): 33178 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,z)))) = c_0. [para(33138(a,1),29777(a,1)),rewrite(29777(6)),flip(a)]. given #774 (T,wt=15): 33374 f(x,f(c_0,f(y,f(y,f(z,f(x,x)))))) = c_0. [para(20(a,1),33173(a,1,1))]. given #775 (A,wt=45): 29820 f(f(c_0,f(x,f(y,y))),f(f(f(y,z),f(c_0,f(x,f(y,y)))),f(f(u,f(x,f(y,y))),f(f(x,f(y,y)),f(y,f(y,z)))))) = f(x,f(y,y)). [para(23654(a,1),14499(a,1,1,2,2)),rewrite(29777(5),29777(6),29777(7),29777(11),29777(14),29777(15),29777(21))]. given #776 (F,wt=27): 33084 f(x,f(f(y,f(x,y)),f(x,f(c_0,f(z,f(z,y)))))) = f(x,f(c_0,f(z,f(z,y)))) # label(false). [para(33023(a,1),29858(a,1,2,1)),rewrite(29777(4),29777(10),14553(12),29777(11))]. given #777 (F,wt=29): 29855 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(29701),rewrite(29777(6),29777(11),29777(18),29777(19),29777(24),29777(25),29777(27),29777(29),29777(31),29840(31),29777(16))]. given #778 (F,wt=29): 30044 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(28657),rewrite(29777(2),29777(6),19228(6),29777(6),29777(7),29777(10))]. given #779 (F,wt=29): 31461 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(29858(a,1),29789(a,1,2,2,2)),rewrite(29777(7),29777(9),29777(16))]. given #780 (T,wt=15): 33411 f(f(c_0,f(x,y)),f(c_0,f(z,f(y,z)))) = c_0. [para(20(a,1),33174(a,1,2,2,2,2)),rewrite(13353(3,R),29777(3),29777(5))]. given #781 (T,wt=17): 30912 f(x,f(f(y,x),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(23218),rewrite(29777(4),29777(7))]. given #782 (T,wt=17): 30935 f(x,f(f(x,y),f(y,f(z,f(x,y))))) = f(x,y). [back_rewrite(23114),rewrite(29777(2),29777(4),29777(6),29777(8),29777(10),29777(11),30895(11),29777(1),29777(4),29777(5),19304(5),29777(2),29777(3),29777(7))]. given #783 (T,wt=17): 31322 f(f(x,y),f(c_0,f(f(x,z),f(x,f(x,y))))) = x. [back_rewrite(20339),rewrite(29777(4),29777(8),29777(10),29777(11),29777(13),31075(13),29777(6))]. given #784 (A,wt=31): 29830 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(23654(a,1),23652(a,1,2,1,2,1)),rewrite(29777(12),29777(13),29777(14),29777(15),29785(15),29777(4),29777(10),29777(15))]. given #785 (F,wt=27): 33651 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(20(a,1),31461(a,1,1,2,2)),rewrite(29777(3),20(8),29777(6),13353(6),20(13),29777(11))]. given #786 (F,wt=29): 31468 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(30042(a,1),29789(a,1,2,2,2)),rewrite(29777(7),29777(9),29777(16))]. given #787 (F,wt=29): 32930 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(20(a,1),31445(a,1,1,2,2)),rewrite(29777(3),13353(7,R),29777(7),20(13),29777(11))]. given #788 (F,wt=29): 32934 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(19228(a,1),31445(a,1,1,2,2)),rewrite(29777(3),13353(7,R),29777(7),19228(14),29777(11))]. given #789 (T,wt=15): 33853 f(f(c_0,c_0),f(x,f(f(x,y),f(x,z)))) = c_0. [para(32564(a,1),33651(a,1,2,2,2,2,2)),rewrite(23245(10),13353(11,R),29777(9),32564(10),29777(9),12616(9),29777(9),14553(10))]. given #790 (T,wt=17): 31478 f(f(c_0,f(x,y)),f(f(x,y),f(z,u))) = f(x,y). [para(31434(a,1),29823(a,1,2,2,2,2,2)),rewrite(13353(9,R),29777(9),2285(10),29777(11),12616(11),29777(8),14553(9),29777(7))]. given #791 (T,wt=17): 31479 f(f(c_0,f(x,y)),f(f(z,u),f(x,y))) = f(x,y). [para(31434(a,1),30023(a,1,2,2,2,2,2)),rewrite(13353(9,R),29777(9),2285(10),29777(11),12616(11),29777(8),14553(9),29777(7))]. given #792 (T,wt=17): 31481 f(f(x,x),f(f(y,f(x,x)),f(c_0,f(x,z)))) = x. [para(20(a,1),23189(a,1,2,2,2,2)),rewrite(29777(3),29777(5),13353(11,R),29777(11),13333(11))]. given #793 (A,wt=43): 29841 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(29746),rewrite(29777(5),29777(8),29777(15),29777(18),29777(21),29777(23))]. given #794 (F,wt=29): 32944 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(23970(a,1),31445(a,1,1,2,2)),rewrite(19304(5),29777(2),13353(2),13353(4,R),29777(4),23970(15))]. given #795 (F,wt=29): 32947 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(23972(a,1),31445(a,1,1,2,2)),rewrite(19228(5),29777(2),13353(2),13353(4,R),29777(4),23972(15))]. given #796 (F,wt=31): 31692 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(31674(a,1),30023(a,1,2,2,2,2,2)),rewrite(13353(12,R),29777(10),29789(11),29777(11),29777(12),14553(14))]. given #797 (F,wt=31): 31838 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(31228(a,1),31685(a,1,2,1)),rewrite(29777(2),29777(6),29777(8),29777(12),29777(17),31419(21))]. given #798 (T,wt=17): 31517 f(f(c_0,f(x,y)),f(c_0,f(f(x,y),f(z,u)))) = c_0. [para(16159(a,1),31513(a,1,2,2,1))]. given #799 (T,wt=17): 31735 f(x,f(f(x,y),f(f(x,x),f(z,u)))) = f(x,y). [para(31513(a,1),31684(a,1,2,2,2)),rewrite(29777(8),14553(8))]. given #800 (T,wt=17): 31782 f(x,f(f(y,f(x,x)),f(f(x,x),f(z,u)))) = c_0. [para(31774(a,1),29987(a,1,1,2,2)),rewrite(29777(6),31774(11),13333(9),29777(7))]. given #801 (T,wt=17): 31957 f(f(c_0,f(x,y)),f(c_0,f(f(x,x),f(z,u)))) = c_0. [para(31774(a,1),31802(a,1,2,2,2,2)),rewrite(13353(7,R),29777(5),13333(9),29777(7),29777(9))]. given #802 (A,wt=55): 29851 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(29712),rewrite(29777(4),29777(5),29777(7),29777(8),29777(9),29777(11),29777(17),29777(18),29777(20),29777(21),29777(22),29777(24),29777(27),29777(29))]. given #803 (F,wt=23): 34180 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(33138(a,1),31838(a,1,2,2,2)),rewrite(29777(8),29777(12),14553(12))]. given #804 (F,wt=23): 34277 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(29777(a,1),34180(a,1,1,2)),rewrite(29777(2),29777(4),29777(6),29777(11))]. given #805 (F,wt=27): 34278 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(34180(a,1),29789(a,1,2,2,2)),rewrite(29777(12))]. given #806 (F,wt=27): 34399 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(34277(a,1),29789(a,1,2,2,2)),rewrite(29777(12))]. given #807 (T,wt=17): 32159 f(x,f(c_0,f(y,f(c_0,f(f(x,x),f(z,u)))))) = c_0. [para(31774(a,1),31910(a,1,1,2)),rewrite(13333(3),13353(8,R),29777(6))]. given #808 (T,wt=17): 32176 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(x,z)))) = x. [para(23970(a,1),23972(a,1,2,2,2,2,2)),rewrite(23970(8),19304(8),29777(5),23970(17),19304(12))]. given #809 (T,wt=15): 34621 f(f(x,x),f(c_0,f(f(y,x),f(x,z)))) = x. [para(32176(a,1),31449(a,1,2,2)),rewrite(29777(7),13353(7),29777(7),32176(15))]. given #810 (T,wt=15): 34666 f(f(c_0,c_0),f(x,f(f(y,x),f(x,z)))) = c_0. [para(34621(a,1),33651(a,1,2,2,2,2,2)),rewrite(23245(10),13353(11,R),29777(9),34621(10),29777(9),12616(9),29777(9),14553(10))]. given #811 (A,wt=41): 29872 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(29662),rewrite(29777(4),29777(7),29777(10),29777(15),29777(18),29777(20))]. given #812 (F,wt=27): 34440 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(29777(a,1),34278(a,1,1)),rewrite(29777(1))]. given #813 (F,wt=19): 34686 f(f(c_0,f(x,y)),f(f(z,f(z,x)),f(x,f(x,y)))) = c_0 # label(false). [para(19228(a,1),34440(a,1,2,2,2,2,2)),rewrite(13333(11),29777(9),10878(9),29777(9))]. given #814 (F,wt=19): 34715 f(f(x,x),f(f(y,f(y,f(x,z))),f(x,f(x,z)))) = c_0 # label(false). [para(29821(a,1),34440(a,1,2,2)),rewrite(29777(5),29777(8),13353(8),29777(8))]. given #815 (F,wt=31): 31857 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(31228(a,1),31688(a,1,1)),rewrite(31228(12),29777(10))]. given #816 (T,wt=15): 34672 f(f(c_0,c_0),f(x,f(f(y,z),f(u,v)))) = c_0. [para(31434(a,1),34666(a,1,2,2,1)),rewrite(29777(11),31449(13))]. given #817 (T,wt=15): 34673 f(f(c_0,c_0),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(31475(a,1),34666(a,1,2,2,1)),rewrite(29777(13),31449(15))]. given #818 (T,wt=17): 32273 f(x,f(f(x,y),f(z,f(x,f(x,y))))) = f(x,y). [para(2285(a,1),31991(a,1,1)),rewrite(2285(5),29777(3))]. given #819 (T,wt=17): 32472 f(x,f(f(y,x),f(z,f(x,f(y,x))))) = f(y,x). [para(20(a,1),32146(a,1,2,2,2,2)),rewrite(20(3),29777(3))]. given #820 (A,wt=41): 29874 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(29656),rewrite(29777(3),29777(9),29777(14),29777(15),29777(17),29777(18),29777(19),29777(20))]. given #821 (F,wt=31): 31892 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(31419(a,1),31688(a,1,1)),rewrite(31419(12),29777(10))]. given #822 (F,wt=31): 32095 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(31684(a,1),31839(a,1,2,2,2,2,2)),rewrite(29777(12))]. given #823 (F,wt=31): 32101 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(31685(a,1),31839(a,1,2,2,2,2,2)),rewrite(29777(12))]. given #824 (F,wt=31): 32231 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(31879(a,1),31839(a,1,2,2,2,2,2)),rewrite(29777(15),14553(15),29777(12))]. given #825 (T,wt=17): 32576 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(y,u))) = c_0. [para(28468(a,1),31802(a,1,2,2,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(6),13353(6),29777(8))]. given #826 (T,wt=17): 32584 f(f(x,x),f(c_0,f(y,f(f(x,z),f(x,u))))) = c_0. [para(28468(a,1),31910(a,1,1,2)),rewrite(29777(2),13353(2),13353(13,R),29777(9),14553(9))]. given #827 (T,wt=17): 32649 f(f(x,f(x,y)),f(x,f(f(x,y),f(x,z)))) = x. [para(29911(a,1),30355(a,1,2,2,2)),rewrite(29777(3),29777(5),29777(9),19228(9),29777(6),29777(12),29777(14),29982(15),29777(11),19228(11))]. given #828 (T,wt=17): 33140 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(y,u))) = c_0. [para(29986(a,1),33080(a,1,2,2,2,2,2)),rewrite(29777(8),13333(8),29777(6),13353(6),29777(8))]. given #829 (A,wt=55): 29877 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(29641),rewrite(29777(4),29777(8),29777(10),29777(14),29777(17),29777(21),29777(23),29777(29))]. given #830 (F,wt=31): 32254 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(31228(a,1),31996(a,1,2,1)),rewrite(29777(2),29777(7),13353(11,R),29777(7),14553(7),29777(4),29777(6),29777(11),31419(15),29777(11))]. given #831 (F,wt=31): 32373 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(31684(a,1),32028(a,1,1,2,2)),rewrite(29777(1),29777(7),29777(10),29777(12))]. given #832 (F,wt=31): 32386 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(31879(a,1),32028(a,1,1,2,2)),rewrite(29777(1),29777(7),14553(7),29777(6),29777(10),29777(12))]. given #833 (F,wt=31): 32447 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(31684(a,1),32060(a,1,2,2,2)),rewrite(29777(1),29777(3),13353(5,R),29777(4),29777(5),29777(8),29777(10),29777(14))]. given #834 (T,wt=17): 33396 f(f(c_0,f(x,f(y,x))),f(f(y,z),f(y,u))) = c_0. [para(28468(a,1),33173(a,1,2,2,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(5),29777(8))]. given #835 (T,wt=17): 33696 f(f(c_0,f(x,y)),f(c_0,f(f(y,y),f(z,u)))) = c_0. [para(31513(a,1),33411(a,1,2,2,2)),rewrite(29777(11),14553(11))]. given #836 (T,wt=17): 33704 f(x,f(c_0,f(y,f(y,f(f(x,x),f(z,u)))))) = c_0. [para(31774(a,1),33411(a,1,1,2)),rewrite(13333(3),29777(5))]. given #837 (T,wt=17): 34646 f(f(c_0,f(x,f(y,x))),f(f(z,y),f(y,u))) = c_0. [para(32176(a,1),33173(a,1,2,2,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(5),29777(8))]. given #838 (A,wt=47): 29878 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(29639),rewrite(29777(7),29777(13),29777(16),29777(24))]. given #839 (F,wt=31): 32449 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(31228(a,1),32060(a,1,2,1,2)),rewrite(29777(2),29777(7),13353(11,R),29777(7),14553(7),29777(5),29777(9),29777(10),29777(12),31419(16),29777(14))]. given #840 (F,wt=31): 32462 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(31879(a,1),32060(a,1,2,2,2)),rewrite(29777(1),29777(3),13353(5,R),29777(4),29777(5),29777(9),29777(11),29777(17),14553(17),29777(14))]. given #841 (F,wt=31): 32949 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(32473(a,1),31445(a,1,1,2,2)),rewrite(29777(4),10878(4),13353(8,R),29777(7),32473(17),29777(12))]. given #842 (F,wt=31): 32950 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(29911(a,1),31445(a,1,1,2,2)),rewrite(29777(5),19228(5),29777(2),13353(2),13353(6,R),29777(5),29777(12),29777(14),29982(15))]. given #843 (T,wt=17): 34674 f(f(c_0,c_0),f(x,f(y,f(z,f(c_0,f(y,u)))))) = c_0. [para(32380(a,1),34666(a,1,2,2,1)),rewrite(29777(5),29777(11),29777(15),31449(17))]. given #844 (T,wt=17): 34675 f(f(c_0,c_0),f(x,f(y,f(f(y,z),f(y,u))))) = c_0. [para(33853(a,1),34666(a,1,2,2,1)),rewrite(29777(13),31449(15))]. given #845 (T,wt=17): 35116 f(f(c_0,c_0),f(x,f(y,f(f(x,z),f(x,u))))) = c_0. [para(32584(a,1),32028(a,1,1,2,2)),rewrite(29777(7),13333(7),29777(5),23245(17),29777(9))]. given #846 (T,wt=17): 35135 f(f(c_0,f(x,y)),f(x,f(f(x,y),f(x,z)))) = c_0. [para(32649(a,1),29789(a,1,2,2,2)),rewrite(29777(8),10878(8),29777(8))]. given #847 (A,wt=27): 29890 f(f(x,y),f(y,f(f(f(y,z),f(y,u)),f(f(x,y),f(f(y,z),f(y,u)))))) = y. [back_rewrite(29556),rewrite(29777(1),29777(4),19228(4),29777(3),29777(7),29777(11))]. given #848 (F,wt=31): 32954 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(20(a,1),31728(a,1,2,1,2)),rewrite(20(3),29777(2),29777(6),29777(8),29777(13))]. given #849 (F,wt=23): 35876 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(32060(a,1),32954(a,2,2)),rewrite(29777(11),29777(23),29777(32),31692(36),29777(13),13333(13))]. given #850 (F,wt=19): 35901 f(f(x,x),f(f(y,f(y,f(z,x))),f(x,f(z,x)))) = c_0 # label(false). [para(35876(a,1),29789(a,1,2,2)),rewrite(29777(8),13353(8),29777(8))]. given #851 (F,wt=31): 33278 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(20(a,1),32724(a,1,1,2)),rewrite(29777(4),20(11),29777(9))]. given #852 (T,wt=17): 35366 f(f(c_0,f(x,f(x,y))),f(f(y,z),f(y,u))) = c_0. [para(33396(a,1),10878(a,1,2,2)),rewrite(29777(2),29777(6),29777(10),14553(10),29777(7),23245(7),29777(3)),flip(a)]. given #853 (T,wt=17): 35527 f(f(c_0,c_0),f(x,f(x,f(f(y,y),f(z,u))))) = c_0. [para(33704(a,1),25070(a,1,2,2)),rewrite(29777(9))]. given #854 (T,wt=17): 35810 f(f(c_0,f(x,y)),f(y,f(f(x,y),f(y,z)))) = c_0. [para(29777(a,1),35135(a,1,1,2)),rewrite(29777(4))]. given #855 (T,wt=17): 36025 f(f(c_0,c_0),f(x,f(y,f(f(z,u),f(v,w))))) = c_0. [para(34672(a,1),35810(a,1,1,2)),rewrite(34672(15),29777(13),31449(15))]. given #856 (A,wt=25): 29897 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(29531),rewrite(29777(3),29777(7),29777(9),29777(11))]. given #857 (F,wt=31): 33280 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(19228(a,1),32724(a,1,1,2)),rewrite(29777(4),19228(12),29777(9))]. given #858 (F,wt=31): 33344 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(29921(a,1),32933(a,1,1,2)),rewrite(13353(8,R),29777(7),29921(19),29777(15),19304(15),29777(12))]. given #859 (F,wt=31): 33350 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(19304(a,1),32940(a,1,2,2,2,2,2,2,2)),rewrite(19304(5),29777(2),13353(2),13353(6,R),29777(5),29777(12),31452(12))]. given #860 (F,wt=31): 34085 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(33138(a,1),32944(a,1,2,1)),rewrite(29777(4),29777(6),29777(10),29777(13),29777(15),14553(19))]. given #861 (T,wt=17): 36026 f(f(c_0,c_0),f(x,f(y,f(z,f(c_0,f(u,v)))))) = c_0. [para(34673(a,1),35810(a,1,1,2)),rewrite(34673(17),29777(15),31449(17))]. given #862 (T,wt=19): 29990 f(f(x,y),f(f(x,z),f(x,f(x,y)))) = f(x,f(x,y)). [back_rewrite(28884),rewrite(29777(1),29777(4),29777(6),13294(9,R),29777(7),29777(9),14389(9),29777(5),29777(6),29777(7))]. given #863 (T,wt=19): 30045 f(f(x,y),f(f(x,f(y,y)),f(c_0,f(y,f(x,y))))) = y. [back_rewrite(28655),rewrite(29777(1),29777(4),19228(4),29777(3))]. given #864 (T,wt=19): 30114 f(f(x,f(x,y)),f(c_0,f(x,f(z,f(x,y))))) = f(x,y). [back_rewrite(28481),rewrite(29777(1),29777(4),29777(5),29777(9))]. given #865 (A,wt=21): 29898 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(29528),rewrite(29777(5))]. given #866 (F,wt=27): 36313 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(30045(a,1),34399(a,1,1,1)),rewrite(29777(4),29777(8),29777(12),29777(16),30687(20),29777(16),29777(20),29777(21),29777(25),30687(29),29777(21),29777(22),25061(22),14553(17),10878(14),29777(14))]. given #867 (F,wt=27): 36441 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(36313(a,1),29823(a,1,2,2,2,2,2)),rewrite(29777(15),14382(15),29777(17),14553(17),14553(16),29777(13))]. given #868 (F,wt=29): 36502 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(30030(a,1),36441(a,1,1,2)),rewrite(29777(1),10878(3),29777(2),29777(6),29777(8),30355(11),10878(10),29777(10))]. given #869 (F,wt=29): 36548 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(29777(a,1),36502(a,1,1)),rewrite(29777(3),29777(6))]. given #870 (T,wt=19): 30592 f(x,f(c_0,f(f(x,y),f(c_0,f(y,f(x,f(x,y))))))) = c_0. [back_rewrite(25323),rewrite(29777(6),29777(10))]. given #871 (T,wt=19): 30687 f(f(x,y),f(f(y,f(x,x)),f(c_0,f(x,f(x,y))))) = x. [back_rewrite(24350),rewrite(29777(2),13294(3,R),29777(4),14387(4),29777(3))]. given #872 (T,wt=19): 30897 f(f(x,y),f(x,f(f(x,z),f(f(x,y),f(x,z))))) = x. [back_rewrite(23323),rewrite(29777(5),29777(9),29777(10),29777(12),30868(12),13294(3,R),29777(4),14387(4),29777(7))]. given #873 (T,wt=19): 31246 f(f(x,y),f(y,f(f(y,z),f(f(x,y),f(y,z))))) = y. [back_rewrite(21078),rewrite(29777(2),29777(5),19228(5),13294(3,R),29777(4),14389(4),29777(7))]. given #874 (A,wt=31): 29899 f(f(x,y),f(c_0,f(x,f(x,f(f(f(x,z),f(x,u)),f(f(x,y),f(f(x,z),f(x,u)))))))) = c_0. [back_rewrite(29526),rewrite(29777(3),29777(7),29777(11),29777(14),29777(15))]. given #875 (F,wt=31): 34108 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(33138(a,1),32947(a,1,2,1)),rewrite(29777(6),29777(10),29777(15),14553(19))]. given #876 (F,wt=31): 34147 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(29777(a,1),31838(a,1,1,2)),rewrite(29777(2),29777(4),29777(6),29777(8),29777(16))]. given #877 (F,wt=31): 34304 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(31228(a,1),34180(a,1,1,2,2,2)),rewrite(29777(8),31228(16),29777(15),31228(21))]. given #878 (F,wt=31): 34801 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(31857(a,1),31869(a,1,1,2,2,2,2)),rewrite(31857(23),14553(18),29777(15))]. given #879 (T,wt=19): 31521 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(x,y)))) = c_0. [para(16159(a,1),29054(a,1,1,2,2)),rewrite(16159(12),29777(9))]. given #880 (T,wt=19): 31636 f(x,f(c_0,f(f(x,f(x,y)),f(y,f(x,f(x,y)))))) = c_0. [para(30030(a,1),19696(a,1,2,2,2)),rewrite(29777(2),29777(5),29777(7))]. given #881 (T,wt=19): 31718 f(f(x,x),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [para(14382(a,1),31684(a,1,2,2,2)),rewrite(29777(3),29777(8),14553(8),29777(5),29777(8))]. given #882 (T,wt=19): 31772 f(x,f(f(x,f(x,y)),f(z,f(x,y)))) = f(x,f(x,y)). [para(19230(a,1),30355(a,1,2,2,2)),rewrite(29777(10),14387(10),19230(14))]. given #883 (A,wt=49): 29900 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(29519),rewrite(29777(6),29777(9),29777(17),29777(20),29777(23),29777(25))]. given #884 (F,wt=31): 34802 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(31857(a,1),31879(a,1,2,1,2)),rewrite(31857(12),14553(7),29777(12),29777(14))]. given #885 (F,wt=31): 35316 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(32447(a,1),29777(a,1)),rewrite(29777(4),29777(6),29777(9),29777(13),29777(16)),flip(a)]. given #886 (F,wt=31): 35657 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(32462(a,1),29777(a,1)),rewrite(29777(3),29777(5),29777(9),29777(13),29777(16)),flip(a)]. given #887 (F,wt=31): 35719 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,f(x,y)))),f(c_0,f(f(z,f(z,x)),f(x,f(x,y)))))) = c_0 # label(false). [para(32949(a,1),29777(a,1)),rewrite(29777(10),29777(12),29777(18)),flip(a)]. given #888 (T,wt=19): 31781 f(f(x,x),f(f(c_0,f(x,y)),f(f(x,x),f(z,u)))) = x. [para(31774(a,1),23487(a,1,1)),rewrite(31774(10),13333(8),29777(6),29777(8),31774(14),13333(12))]. given #889 (T,wt=17): 37408 f(f(c_0,f(x,y)),f(f(x,x),f(z,u))) = f(x,y). [para(31781(a,1),30935(a,1,2,2,2)),rewrite(29777(14),31774(14),29777(12),31781(12),29777(4),14387(4)),flip(a)]. given #890 (T,wt=15): 37498 f(f(x,x),f(f(y,z),f(c_0,f(x,u)))) = x. [para(20(a,1),37408(a,1,1,2)),rewrite(29777(2),13353(2),29777(2),29777(3),13353(4,R),29777(4),29777(6),29777(8),29777(10),2285(10))]. given #891 (T,wt=13): 37634 f(f(x,x),f(y,f(c_0,f(x,z)))) = x. [para(20(a,1),37498(a,1,2,1))]. given #892 (A,wt=27): 29901 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(29517),rewrite(29777(2),13294(3,R),29777(4),14387(4),29777(3),29777(7),29777(11))]. given #893 (F,wt=27): 37590 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(33331),rewrite(37500(14),29777(10))]. given #894 (F,wt=27): 37597 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(31690),rewrite(37500(14),29777(10))]. given #895 (F,wt=27): 37821 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(37590(a,1),10878(a,2)),rewrite(29777(19),10878(22))]. given #896 (F,wt=27): 37822 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(10878(a,1),37590(a,1,1,2,2,2)),rewrite(29777(9))]. given #897 (T,wt=15): 37500 f(f(x,f(y,y)),f(c_0,f(y,z))) = f(y,z). [para(20(a,1),37408(a,1,2,2)),rewrite(29777(5),29777(6))]. given #898 (T,wt=13): 37998 f(f(x,x),f(y,f(c_0,f(z,x)))) = x. [para(20(a,1),37500(a,1,2,2)),rewrite(13353(3,R),29777(3),29777(6),13353(6),29777(6),20(9))]. given #899 (T,wt=15): 37702 f(x,f(y,f(c_0,f(z,f(x,x))))) = f(x,x). [para(20(a,1),37634(a,1,1)),rewrite(29777(3))]. given #900 (T,wt=15): 37703 f(f(x,f(y,y)),f(c_0,f(z,y))) = f(z,y). [para(20(a,1),37634(a,1,2,2,2)),rewrite(13353(3,R),29777(3),29777(5),13353(5),29777(6))]. given #901 (A,wt=31): 29902 f(f(x,y),f(c_0,f(y,f(y,f(f(f(y,z),f(y,u)),f(f(x,y),f(f(y,z),f(y,u)))))))) = c_0. [back_rewrite(29513),rewrite(29777(4),29777(8),29777(12))]. given #902 (F,wt=31): 35795 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(33138(a,1),32950(a,1,2,1)),rewrite(29777(7),29777(11),29777(15),14553(19))]. given #903 (F,wt=31): 36110 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(29777(a,1),34085(a,1,2)),rewrite(29777(3),29777(9),29777(15))]. given #904 (F,wt=31): 36900 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(29777(a,1),34304(a,1,1,1)),rewrite(29777(6),29777(8),29777(16))]. given #905 (F,wt=31): 36901 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(29777(a,1),34304(a,1,1)),rewrite(29777(1))]. given #906 (T,wt=15): 37712 f(f(x,y),f(c_0,f(x,f(c_0,f(y,z))))) = c_0. [para(37634(a,1),29054(a,1,1,2))]. given #907 (T,wt=15): 37728 f(f(x,y),f(x,f(x,f(c_0,f(y,z))))) = x. [para(37634(a,1),32473(a,1,2,2)),rewrite(29777(7))]. given #908 (T,wt=15): 38125 f(f(x,y),f(x,f(x,f(c_0,f(z,y))))) = x. [para(37998(a,1),32473(a,1,2,2)),rewrite(29777(7))]. given #909 (T,wt=15): 38259 f(f(x,x),f(y,f(f(x,z),f(x,u)))) = x. [para(28468(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(6),13353(6),29777(6),28468(14))]. given #910 (A,wt=27): 29910 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(29428),rewrite(29777(2),29777(4),29777(6),29777(10),29777(11),29777(12))]. given #911 (F,wt=31): 37473 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(33582),rewrite(37409(16),29777(13))]. given #912 (F,wt=31): 37588 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(33335),rewrite(37500(17))]. given #913 (F,wt=31): 37595 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(31873),rewrite(37500(17))]. given #914 (F,wt=31): 37763 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(31465),rewrite(37706(11),37701(11),31449(18))]. given #915 (T,wt=15): 38268 f(f(x,x),f(y,f(f(z,x),f(x,u)))) = x. [para(32176(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(6),13353(6),29777(6),32176(14))]. given #916 (T,wt=15): 38453 f(f(x,f(y,z)),f(c_0,f(x,f(z,z)))) = c_0. [para(20(a,1),37712(a,1,2,2,2,2)),rewrite(29777(5),13353(5))]. given #917 (T,wt=15): 38456 f(f(x,f(y,z)),f(c_0,f(x,f(y,y)))) = c_0. [para(19228(a,1),37712(a,1,2,2,2,2)),rewrite(29777(5),13353(5))]. given #918 (T,wt=15): 38458 f(f(x,y),f(c_0,f(y,f(c_0,f(x,z))))) = c_0. [para(29777(a,1),37712(a,1,1))]. given #919 (A,wt=27): 29912 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(29426),rewrite(29777(2),29777(6),19228(6),29777(10))]. given #920 (F,wt=27): 38907 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(20(a,1),37763(a,1,1,2)),rewrite(29777(4),20(8),29777(6),20(10),29777(8),13353(8),29777(9),20(14),29777(12),13353(12))]. given #921 (F,wt=31): 37801 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(31695),rewrite(29777(1),29777(4),29777(9),29777(13),29777(15),29777(16),37757(18),29777(12),29777(14))]. given #922 (F,wt=27): 39301 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(20(a,1),37801(a,1,2,1,2)),rewrite(20(3),29777(2),29777(6),20(10),29777(8),13353(8),20(14),29777(12),13353(12))]. given #923 (F,wt=31): 37803 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(31472),rewrite(37706(11),37706(21))]. given #924 (T,wt=15): 38544 f(f(x,f(y,f(z,z))),f(c_0,f(z,x))) = c_0. [para(37703(a,1),37712(a,1,2,2)),rewrite(29777(3),29777(5))]. given #925 (T,wt=15): 38549 f(f(x,f(y,z)),f(x,f(x,f(z,z)))) = x. [para(20(a,1),37728(a,1,2,2,2,2)),rewrite(29777(4),13353(4))]. given #926 (T,wt=15): 38552 f(f(x,f(x,f(y,y))),f(x,f(y,z))) = x. [para(19228(a,1),37728(a,1,2,2,2,2)),rewrite(29777(4),13353(4),29777(6))]. given #927 (T,wt=15): 38554 f(f(x,y),f(y,f(y,f(c_0,f(x,z))))) = y. [para(29777(a,1),37728(a,1,1))]. given #928 (A,wt=31): 29923 f(f(x,f(y,z)),f(c_0,f(f(y,z),f(f(y,z),f(f(z,z),f(f(x,f(y,z)),f(z,z))))))) = c_0. [back_rewrite(29375),rewrite(29777(12))]. given #929 (F,wt=29): 39441 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(37803(a,1),38456(a,1,1)),rewrite(13353(14,R),29777(13),29777(14))]. given #930 (F,wt=31): 37818 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(20(a,1),37590(a,1,1,2,2,2,2)),rewrite(29777(3),13353(9,R),29777(9),20(13),29777(11),29777(12),13353(15,R),29777(15))]. given #931 (F,wt=27): 39780 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(32273(a,1),37818(a,1,1,2,2)),rewrite(29777(3),13353(3),13333(3),29777(3),13353(3),29777(6),13353(6),29777(8),13353(8),13333(8),29777(7),20(7),29777(7),13353(7),13333(7),29777(7),13353(7),29777(9),13353(9),13333(9),29777(8),20(8),29777(6),29777(10),29777(13),13353(13),29777(15),13353(15),13333(15),29777(14),20(14),29777(12),13353(12))]. given #932 (F,wt=31): 37819 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(20(a,1),37590(a,1,2,1,2)),rewrite(29777(4),29777(9),29777(11),13353(16,R),29777(16),13333(16),29777(14))]. given #933 (T,wt=15): 38644 f(f(x,f(x,y)),f(x,f(z,f(y,y)))) = x. [para(2387(a,1),38125(a,1,2,2,2,2)),rewrite(13333(6),29777(6))]. given #934 (T,wt=15): 38653 f(f(x,y),f(c_0,f(x,f(c_0,f(z,y))))) = c_0. [para(38125(a,1),32060(a,1,2,2,2)),rewrite(13353(9,R),29777(6),19228(16),29777(8),10878(9),29777(8))]. given #935 (T,wt=15): 39081 f(f(x,f(y,f(z,z))),f(c_0,f(x,z))) = c_0. [para(20(a,1),38453(a,1,2,2,2))]. given #936 (T,wt=15): 39571 f(x,f(c_0,f(y,f(x,f(x,f(y,y)))))) = c_0. [para(38552(a,1),29987(a,1,1))]. given #937 (A,wt=55): 29926 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(29270),rewrite(29777(5),29777(6),29777(13),29777(14),29777(22),29777(24),29777(29))]. given #938 (F,wt=27): 39951 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(37154),rewrite(39859(18),2285(13),29777(11),13353(11),29777(11),29777(13))]. given #939 (F,wt=31): 37824 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(19228(a,1),37590(a,1,1,2,2,2,2)),rewrite(29777(3),13353(9,R),29777(9),19228(14),29777(11),29777(12),13353(15,R),29777(15))]. given #940 (F,wt=31): 37839 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(23970(a,1),37590(a,1,1,2,2,2,2)),rewrite(19304(5),29777(2),13353(7,R),29777(7),23970(16),29777(11),13353(15,R),29777(15))]. given #941 (F,wt=31): 37975 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(37821(a,1),29789(a,1,2,2,2)),rewrite(29777(13))]. given #942 (T,wt=15): 39607 f(f(x,f(y,z)),f(x,f(x,f(y,y)))) = x. [para(19228(a,1),38554(a,1,2,2,2,2)),rewrite(29777(2),29777(4),13353(4))]. given #943 (T,wt=15): 39957 f(x,f(c_0,f(f(x,f(x,y)),f(y,y)))) = c_0. [para(38644(a,1),29054(a,1,1))]. given #944 (T,wt=15): 40111 f(f(x,y),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(38653(a,1),37818(a,1,1,2)),rewrite(29777(5),14553(5),29777(6),29777(7),32240(19),29777(2)),flip(a)]. given #945 (T,wt=15): 40469 f(x,f(c_0,f(f(y,y),f(x,f(y,x))))) = c_0. [para(39957(a,1),37818(a,1,1,2)),rewrite(29777(3),13333(3),29777(1),29777(4),29777(6),29777(9),32526(14),29777(3),29777(6)),flip(a)]. given #946 (A,wt=39): 29933 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(29246),rewrite(29777(5),29777(13),29777(14),29777(16),29777(18),29777(20))]. given #947 (F,wt=31): 37986 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(37822(a,1),29789(a,1,2,2,2)),rewrite(29777(13))]. given #948 (F,wt=31): 38775 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(29777(a,1),37473(a,1,1)),rewrite(29777(6),29777(7),29777(13),29777(14))]. given #949 (F,wt=31): 39695 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(2387(a,1),37818(a,1,1,2,2,2)),rewrite(13333(5),29777(3),2387(7),2387(10),29777(9),29777(13),2387(17),13333(16),29777(14))]. given #950 (F,wt=31): 39827 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(39780(a,1),29789(a,1,2,2,2)),rewrite(29777(13))]. given #951 (T,wt=17): 37505 f(f(c_0,f(x,y)),f(f(y,y),f(z,u))) = f(x,y). [para(29777(a,1),37408(a,1,1,2)),rewrite(29777(8))]. given #952 (T,wt=17): 37644 f(f(x,x),f(f(c_0,f(x,y)),f(c_0,f(z,u)))) = x. [para(23487(a,1),37498(a,1,2,1)),rewrite(29777(8))]. given #953 (T,wt=17): 37672 f(f(c_0,f(x,y)),f(x,f(f(x,y),f(z,u)))) = c_0. [para(37498(a,1),31782(a,1,2,1)),rewrite(13353(10,R),29777(8),14553(8))]. given #954 (T,wt=17): 37713 f(f(x,x),f(f(x,y),f(z,f(c_0,f(x,u))))) = c_0. [para(37634(a,1),29987(a,1,1,2,2)),rewrite(29777(5),29777(6),37634(13),29777(8),13353(8),29777(8))]. given #955 (A,wt=47): 30035 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(28679),rewrite(29777(1),29777(4),19228(4),29777(6),29777(8),29777(13),29777(17),29777(19),29777(22))]. given #956 (F,wt=31): 39866 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(29777(a,1),37819(a,1,1)),rewrite(29777(8),29777(9),29777(13),29777(14))]. given #957 (F,wt=31): 40075 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(35625),rewrite(40061(22),29777(13),29777(14))]. given #958 (F,wt=31): 40607 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(38775(a,1),37597(a,1,1,2,2)),rewrite(29777(2),29777(8),29777(9),37502(9),31452(6),29777(3),13353(11,R),29777(11),13333(11),29777(9),31735(9),29777(14),13353(22,R),29777(22),13333(22),29777(20),31735(20))]. given #959 (F,wt=27): 41054 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(20(a,1),40607(a,1,1,2)),rewrite(29777(3),13353(6,R),29777(6),13333(6),13353(6,R),29777(6),13333(6),13353(6,R),29777(6),13333(6),29777(12))]. given #960 (T,wt=17): 37997 f(f(x,y),f(c_0,f(z,f(y,y)))) = f(z,f(y,y)). [para(20(a,1),37500(a,1,1,2)),rewrite(29777(4),29777(8))]. given #961 (T,wt=17): 37999 f(f(x,y),f(c_0,f(z,f(x,x)))) = f(z,f(x,x)). [para(37500(a,1),2285(a,1,2)),rewrite(13353(5,R),29777(4),29777(6))]. given #962 (T,wt=17): 38114 f(f(x,x),f(f(x,y),f(z,f(c_0,f(u,x))))) = c_0. [para(37998(a,1),29987(a,1,1,2,2)),rewrite(29777(5),29777(6),37998(13),29777(8),13353(8),29777(8))]. given #963 (T,wt=17): 38136 f(f(c_0,f(x,y)),f(y,f(f(x,y),f(z,u)))) = c_0. [para(37998(a,1),31782(a,1,2,1)),rewrite(13353(10,R),29777(8),14553(8))]. given #964 (A,wt=39): 30039 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(28675),rewrite(29777(4),29777(10),19228(10),29777(6),29777(12),29777(17))]. given #965 (F,wt=27): 41111 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(37408(a,1),40607(a,1,1)),rewrite(29777(3),13353(6,R),29777(6),13333(6),13353(6,R),29777(6),13333(6),13353(9,R),29777(9),13333(9),29777(7),14387(7),29777(12))]. given #966 (F,wt=27): 41185 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(41054(a,1),33173(a,1,2,2,2)),rewrite(29777(1),29777(6),13353(11,R),29777(7),29777(9))]. given #967 (F,wt=29): 41520 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(37818(a,1),41185(a,1,1,2,2,2,2)),rewrite(29777(13),38113(13),29777(4),19304(5),29777(2),13353(2),13353(16,R),29777(16),29777(17),31820(17),29777(13))]. given #968 (F,wt=31): 41016 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). [para(30030(a,1),40075(a,1,1,2,1)),rewrite(29777(1),29777(4),29777(7),30355(10),10878(9),29777(8),30612(8),14553(9),29777(8),30355(11),10878(10),29777(9),30355(12),29777(14))]. given #969 (T,wt=17): 38249 f(x,f(y,f(c_0,f(f(x,x),f(z,u))))) = f(x,x). [para(31774(a,1),37703(a,1,2,2)),rewrite(13353(7,R),29777(5),13333(9),29777(7),31774(11))]. given #970 (T,wt=17): 38279 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(x,u)))))) = x. [para(37634(a,1),37703(a,1,2,2)),rewrite(13353(9,R),29777(6),29777(9),13353(9),29777(9),37634(15))]. given #971 (T,wt=17): 38281 f(f(x,x),f(y,f(c_0,f(z,f(c_0,f(u,x)))))) = x. [para(37998(a,1),37703(a,1,2,2)),rewrite(13353(9,R),29777(6),29777(9),13353(9),29777(9),37998(15))]. given #972 (T,wt=17): 38647 f(f(x,f(x,y)),f(x,f(f(y,y),f(z,u)))) = x. [para(31774(a,1),38125(a,1,2,2,2,2)),rewrite(13333(7),29777(7))]. given #973 (A,wt=23): 30041 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(28670),rewrite(29777(1),29777(4),19228(4),29777(3),29777(5),29777(7),29777(10))]. given #974 (F,wt=31): 41113 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(37634(a,1),40607(a,1,1)),rewrite(29777(4),13353(11,R),29777(9),14553(9),13353(12,R),29777(10),14553(10),13353(14,R),29777(12),14553(12),2285(9),29777(7),29777(16))]. given #975 (F,wt=29): 42003 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(41113(a,1),38453(a,1,1)),rewrite(29777(8),29777(10),29777(14),29777(16),13353(18,R),29777(13))]. given #976 (F,wt=29): 42007 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(41113(a,1),38549(a,1,1)),rewrite(29777(7),29777(9),29777(13),29777(15),13353(17,R),29777(12))]. given #977 (F,wt=29): 42023 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(29777(a,1),42003(a,1,1,2,2)),rewrite(29777(7),29777(10))]. given #978 (T,wt=17): 38689 f(f(x,y),f(c_0,f(x,f(f(y,z),f(y,u))))) = c_0. [para(38259(a,1),29054(a,1,1,2))]. given #979 (T,wt=17): 38708 f(f(x,y),f(x,f(x,f(f(y,z),f(y,u))))) = x. [para(38259(a,1),32473(a,1,2,2)),rewrite(29777(7))]. given #980 (T,wt=17): 39024 f(f(x,x),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(38268(a,1),25073(a,1,2,2)),rewrite(29777(8),13353(8),29777(8))]. given #981 (T,wt=17): 39044 f(f(x,y),f(x,f(x,f(f(z,y),f(y,u))))) = x. [para(38268(a,1),32473(a,1,2,2)),rewrite(29777(7))]. given #982 (A,wt=23): 30047 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(28650),rewrite(29777(1),29777(4),19228(4),29777(3),29777(7),29777(11))]. given #983 (F,wt=29): 42072 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(29777(a,1),42007(a,1,1,2,2)),rewrite(29777(6),29777(9))]. given #984 (F,wt=31): 41145 f(f(c_0,f(f(x,f(y,y)),f(y,z))),f(f(x,f(y,y)),f(y,f(y,f(x,f(x,f(y,z))))))) = c_0 # label(false). [para(41054(a,1),29789(a,1,2,2,2)),rewrite(29777(3),29777(10),29777(13),29777(15))]. given #985 (F,wt=31): 41243 f(f(c_0,f(f(x,y),f(z,f(y,y)))),f(f(z,f(y,y)),f(y,f(y,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(41054(a,1),37595(a,1,2,2,2,2,2)),rewrite(13353(6,R),29777(5),37997(6),38000(13),13353(15,R),29777(14),37997(15),39833(18),29777(13),29777(15))]. given #986 (F,wt=19): 42542 f(x,f(c_0,f(f(x,y),f(f(z,f(z,x)),f(x,y))))) = c_0 # label(false). [para(32717(a,1),41243(a,1,2,2,2,2,2)),rewrite(29777(4),29777(6),29777(7),13353(8,R),29777(8),14387(9),29777(7),29777(9),29777(10),13353(11,R),29777(11),14387(12),29777(10),29777(11),29777(12),19228(14),29777(11),19228(12),29777(9))]. given #987 (T,wt=13): 42342 f(x,f(f(x,y),f(y,z))) = f(x,y). [para(39044(a,1),31674(a,1,2)),rewrite(29777(4))]. given #988 (T,wt=15): 42591 f(x,f(y,f(x,f(z,y)))) = f(x,f(z,y)). [para(20(a,1),42342(a,1,2,2)),rewrite(29777(3))]. given #989 (T,wt=15): 42592 f(x,f(y,f(x,f(y,z)))) = f(x,f(y,z)). [para(19228(a,1),42342(a,1,2,2)),rewrite(29777(3))]. given #990 (T,wt=13): 42886 f(x,f(f(x,y),f(z,y))) = f(x,y). [para(20(a,1),42592(a,1,2,2,2)),rewrite(29777(3),20(7))]. given #991 (A,wt=51): 30076 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(28585),rewrite(29777(4),29777(10),29777(18),29777(22),29777(23),29777(25),29777(28))]. given #992 (F,wt=27): 42554 f(f(c_0,f(x,f(x,f(y,f(y,f(z,x)))))),f(c_0,f(f(z,x),f(y,f(x,x))))) = c_0 # label(false). [para(41243(a,1),38453(a,1,1)),rewrite(13353(19,R),29777(15),29777(16),32793(18))]. given #993 (F,wt=31): 41461 f(x,f(f(y,f(c_0,f(z,x))),f(f(z,x),f(f(z,x),f(y,f(x,y)))))) = f(y,f(c_0,f(z,x))) # label(false). [para(20(a,1),41111(a,1,2,2,2,2,2,2)),rewrite(20(3),13353(3,R),29777(3),29777(7),13353(15,R),29777(15))]. given #994 (F,wt=31): 41480 f(f(c_0,f(f(x,y),f(z,f(x,x)))),f(f(z,f(x,x)),f(x,f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(41111(a,1),37595(a,1,2,2,2,2,2)),rewrite(13353(6,R),29777(5),37999(6),38000(13),13353(15,R),29777(14),37999(15),39859(18),29777(13),29777(15))]. given #995 (F,wt=31): 41573 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(29777(a,1),41016(a,1,1,1)),rewrite(29777(2),29777(7),29777(9))]. given #996 (T,wt=15): 42848 f(x,f(y,f(x,f(x,f(y,y))))) = f(x,x). [para(38552(a,1),42591(a,1,2)),flip(a)]. given #997 (T,wt=15): 42873 f(x,f(f(x,f(x,y)),f(y,y))) = f(x,x). [para(38647(a,1),42591(a,1,2)),rewrite(29777(5)),flip(a)]. given #998 (T,wt=15): 43191 f(x,f(y,f(y,f(x,x)))) = f(x,f(y,y)). [para(42848(a,1),42592(a,1,2)),flip(a)]. given #999 (T,wt=17): 39749 f(f(x,f(x,y)),f(c_0,f(f(x,z),f(x,y)))) = x. [para(28468(a,1),37818(a,2)),rewrite(29777(7),29777(13),29777(21),37824(26))]. given #1000 (A,wt=55): 30099 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(28522),rewrite(29777(12),29777(20),29777(25),29777(27),29777(31))]. given #1001 (F,wt=23): 43359 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(43191(a,1),31684(a,1,2,2,2)),rewrite(29777(7))]. given #1002 (F,wt=25): 43507 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(20(a,1),43359(a,1,2,1)),rewrite(13353(7,R),29777(7),29777(10),20(15))]. given #1003 (F,wt=23): 43622 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(33138(a,1),43507(a,1,2,2,1,2)),rewrite(29777(3),29777(7),14553(7),29777(6),29777(10),13353(13,R),29777(10),14553(10))]. given #1004 (F,wt=23): 43683 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(43622(a,1),14553(a,1,2,2)),rewrite(29777(3),13353(3),13333(3),29777(1),29777(4)),flip(a)]. given #1005 (T,wt=17): 40078 f(f(c_0,f(x,y)),f(x,f(f(y,y),f(z,u)))) = c_0. [para(31774(a,1),38653(a,1,2,2,2,2)),rewrite(13333(8),29777(8))]. given #1006 (T,wt=17): 40475 f(f(c_0,f(x,y)),f(y,f(f(x,x),f(z,u)))) = c_0. [para(31774(a,1),40111(a,1,2,2,2,2)),rewrite(29777(4),13333(8),29777(6),29777(8))]. given #1007 (T,wt=17): 40790 f(f(x,f(x,y)),f(x,f(f(x,y),f(z,u)))) = x. [para(37672(a,1),31674(a,1,2,2,2)),rewrite(29777(9),14553(9),29777(7))]. given #1008 (T,wt=17): 42118 f(f(x,y),f(c_0,f(y,f(f(x,z),f(x,u))))) = c_0. [para(29777(a,1),38689(a,1,1))]. given #1009 (A,wt=41): 30102 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(28516),rewrite(29777(7),29777(13),29777(15),29777(16),29777(22))]. given #1010 (F,wt=23): 43688 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(43622(a,1),29777(a,1)),rewrite(29777(1),29777(3),29777(4),29777(9),29777(10)),flip(a)]. given #1011 (F,wt=23): 43818 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(20(a,1),43683(a,1,2,2,2,1)),rewrite(20(3),29777(3),29777(6),43191(8),29777(7))]. given #1012 (F,wt=25): 43508 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(20(a,1),43359(a,1,2,2,1,2)),rewrite(29777(6))]. given #1013 (F,wt=25): 43511 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(19228(a,1),43359(a,1,2,1)),rewrite(13353(7,R),29777(7),29777(10),19228(16))]. given #1014 (T,wt=17): 42227 f(f(x,y),f(y,f(y,f(f(x,z),f(x,u))))) = y. [para(29777(a,1),38708(a,1,1))]. given #1015 (T,wt=13): 44410 f(x,f(f(y,x),f(y,z))) = f(y,x). [para(42227(a,1),31674(a,1,2)),rewrite(29777(4))]. given #1016 (T,wt=13): 44416 f(x,f(f(y,z),f(y,x))) = f(y,x). [para(42227(a,1),31688(a,1,2)),rewrite(29777(4))]. given #1017 (T,wt=17): 42344 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(y,z))) = c_0. [para(39044(a,1),31686(a,1,2,2,2)),rewrite(29777(6),29777(8))]. given #1018 (A,wt=21): 30115 f(x,f(c_0,f(f(x,y),f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [back_rewrite(28480),rewrite(29777(2),29777(3),29777(5),29777(9))]. given #1019 (F,wt=23): 44383 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(33138(a,1),43511(a,1,2,2,1,2)),rewrite(29777(3),29777(7),14553(7),29777(6),29777(10),13353(13,R),29777(10),14553(10))]. given #1020 (F,wt=23): 44780 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(29777(a,1),44383(a,1,1)),rewrite(29777(4))]. given #1021 (F,wt=25): 44242 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(19696(a,1),43508(a,1,2,2,1)),rewrite(13353(11,R),29777(8),14553(8),13353(14,R),29777(11),14553(11),43352(8))]. given #1022 (F,wt=27): 43363 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(43191(a,1),31720(a,1,2,2,2,2,2)),rewrite(29777(9))]. given #1023 (T,wt=17): 42345 f(x,f(c_0,f(f(x,y),f(f(x,y),f(y,z))))) = c_0. [para(39044(a,1),31689(a,1,1))]. given #1024 (T,wt=17): 42350 f(f(x,y),f(c_0,f(x,f(f(z,y),f(y,u))))) = c_0. [para(39044(a,1),32060(a,1,2,2,2)),rewrite(13353(9,R),29777(6),19228(16),29777(8),10878(9),29777(8))]. given #1025 (T,wt=17): 42745 f(x,f(f(x,y),f(z,f(c_0,f(y,u))))) = f(x,y). [para(41113(a,1),42342(a,1,2,2))]. given #1026 (T,wt=15): 45254 f(x,f(c_0,f(f(x,y),f(c_0,f(y,z))))) = c_0. [para(42745(a,1),31869(a,1,1,2,2)),rewrite(19228(4))]. given #1027 (A,wt=55): 30117 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(28476),rewrite(29777(10),29777(15),29777(20),29777(27))]. given #1028 (F,wt=27): 43364 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(43191(a,1),31724(a,1,2,2,2)),rewrite(29777(11))]. given #1029 (F,wt=27): 43365 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(43191(a,1),31879(a,1,2,2,2)),rewrite(29777(11))]. given #1030 (F,wt=27): 43366 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(43191(a,1),32041(a,1,2,2,2)),rewrite(29777(11))]. given #1031 (F,wt=27): 43584 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(20(a,1),43507(a,1,2,2,2,2)),rewrite(29777(10),29777(11))]. given #1032 (T,wt=15): 45496 f(x,f(c_0,f(f(x,f(y,z)),f(z,z)))) = c_0. [para(20(a,1),45254(a,1,2,2,2,2)),rewrite(29777(5),13353(5))]. given #1033 (T,wt=15): 45497 f(x,f(c_0,f(f(y,y),f(x,f(y,z))))) = c_0. [para(19228(a,1),45254(a,1,2,2,2,2)),rewrite(29777(5),13353(5),29777(5))]. given #1034 (T,wt=15): 45590 f(x,f(c_0,f(f(y,x),f(c_0,f(y,z))))) = c_0. [para(45254(a,1),37818(a,1,1,2)),rewrite(29777(5),14553(5),29777(2),29777(10),32240(19),29777(3)),flip(a)]. given #1035 (T,wt=15): 45937 f(x,f(c_0,f(y,f(x,f(z,f(y,y)))))) = c_0. [para(20(a,1),45496(a,1,2,2,2)),rewrite(29777(5))]. given #1036 (A,wt=23): 30126 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(28447),rewrite(29777(8))]. given #1037 (F,wt=27): 43685 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(43622(a,1),19696(a,1,2,2,2)),rewrite(29777(11))]. given #1038 (F,wt=27): 43689 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(43622(a,1),29789(a,1,2,2,2)),rewrite(29777(1),29777(3),29777(4),29777(10),29777(11),29777(13))]. given #1039 (F,wt=27): 43700 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(43622(a,1),31689(a,1,1,2,2)),rewrite(29777(1),29777(2),10878(3),29777(5))]. given #1040 (F,wt=27): 43780 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(43622(a,1),37595(a,1,2,2,2,2,2)),rewrite(20(3),10878(10),20(12),29777(11),31452(12),29777(13))]. given #1041 (T,wt=15): 46009 f(x,f(c_0,f(f(x,y),f(c_0,f(z,y))))) = c_0. [para(20(a,1),45497(a,1,2,2,2,2)),rewrite(13353(4,R),29777(4),29777(6))]. given #1042 (T,wt=15): 46717 f(x,f(c_0,f(f(y,x),f(c_0,f(z,y))))) = c_0. [para(46009(a,1),37818(a,1,1,2)),rewrite(29777(5),14553(5),29777(2),29777(10),32240(19),29777(3)),flip(a)]. given #1043 (T,wt=17): 42834 f(x,f(f(x,y),f(z,f(c_0,f(u,y))))) = f(x,y). [para(37998(a,1),42591(a,1,2,2,2)),rewrite(29777(6),37998(13))]. given #1044 (T,wt=17): 42912 f(x,f(x,f(f(y,z),f(z,x)))) = f(x,f(z,x)). [para(42886(a,1),32954(a,2,2)),rewrite(29777(2),29777(4),29777(9),29777(11),29777(13),29777(15),29777(18),33280(19),29777(6))]. given #1045 (A,wt=45): 30199 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(28016),rewrite(29777(4),29777(9),29777(16),29777(19),29777(20),29777(21),29777(22),29777(23))]. given #1046 (F,wt=27): 43809 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(43622(a,1),41480(a,1,2,2,2,2,2)),rewrite(29777(2),29777(4),29777(5),29777(10),29777(12),2285(12),29777(10),29777(12),29777(14),2285(14),29777(12),29777(13),10878(14),10878(14),29777(13))]. given #1047 (F,wt=27): 43867 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(43683(a,1),37595(a,1,2,2,2,2,2)),rewrite(29777(3),2285(3),10878(10),29777(12),2285(12),29777(11),10878(12),29777(13))]. given #1048 (F,wt=27): 44182 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(43818(a,1),29789(a,1,2,2,2)),rewrite(29777(13))]. given #1049 (F,wt=27): 44188 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(43818(a,1),31689(a,1,1,2,2)),rewrite(19304(4))]. given #1050 (T,wt=13): 46774 f(x,f(f(y,z),f(z,x))) = f(z,x). [para(42912(a,1),31688(a,1,2,2)),rewrite(19304(7),29777(4))]. given #1051 (T,wt=17): 43352 f(f(x,x),f(y,f(x,y))) = f(f(x,x),f(y,y)). [para(20(a,1),43191(a,1,2,2,2)),rewrite(29777(2))]. given #1052 (T,wt=17): 43438 f(x,f(f(y,f(x,y)),f(f(x,x),f(y,y)))) = c_0. [back_rewrite(43142),rewrite(43352(6))]. Low Water (keep): wt=59, part=1.00, limit=59 given #1053 (T,wt=17): 43984 f(f(x,y),f(x,f(f(x,f(x,y)),f(z,u)))) = x. [para(10878(a,1),40790(a,1,1))]. given #1054 (A,wt=45): 30213 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(27928),rewrite(29777(3),29777(8),29777(15),29777(18),29777(19),29777(20),29777(21),29777(22))]. given #1055 (F,wt=27): 44240 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(19228(a,1),43508(a,1,2,1)),rewrite(29777(3),13353(7,R),29777(7),29777(9),19228(17))]. given #1056 (F,wt=25): 47359 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(20(a,1),44240(a,1,2,2,1,2)),rewrite(20(3),29777(2),20(8),29777(6),13353(6),29777(6))]. given #1057 (F,wt=27): 44777 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(44383(a,1),19696(a,1,2,2,2)),rewrite(29777(11))]. given #1058 (F,wt=27): 44781 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(44383(a,1),29789(a,1,2,2,2)),rewrite(29777(11),29777(13))]. given #1059 (T,wt=17): 43985 f(f(x,y),f(y,f(f(y,f(x,y)),f(z,u)))) = y. [para(31452(a,1),40790(a,1,1))]. given #1060 (T,wt=17): 44464 f(x,f(c_0,f(f(y,x),f(f(y,z),f(y,x))))) = c_0. [para(42227(a,1),41243(a,1,2,2,2)),rewrite(13353(7,R),29777(7),31449(8),29777(6),13353(10,R),29777(10),31449(11),29777(10),19304(11),29777(8))]. given #1061 (T,wt=17): 44469 f(x,f(c_0,f(f(y,x),f(f(y,x),f(y,z))))) = c_0. [para(42227(a,1),41480(a,1,2,2,2)),rewrite(13353(7,R),29777(7),31449(8),29777(6),13353(10,R),29777(10),31449(11),29777(10),19304(11),29777(8))]. given #1062 (T,wt=17): 45215 f(f(x,y),f(c_0,f(y,f(f(z,x),f(x,u))))) = c_0. [para(42350(a,1),37818(a,1,1,2)),rewrite(29777(5),29777(10),29777(11),32189(23),29777(2)),flip(a)]. given #1063 (A,wt=59): 30298 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(27568),rewrite(29777(4),29777(13),29777(15),29777(18),29777(23),29777(25),29777(32))]. given #1064 (F,wt=27): 44900 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(44780(a,1),19696(a,1,2,2,2)),rewrite(29777(11))]. given #1065 (F,wt=27): 44934 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(44780(a,1),37595(a,1,2,2,2,2,2)),rewrite(20(3),10878(10),20(12),29777(11),31452(12),29777(13))]. given #1066 (F,wt=27): 44956 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(20(a,1),44242(a,1,2,1)),rewrite(29777(4),13353(8,R),29777(8),29777(10),20(17))]. given #1067 (F,wt=27): 44958 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(20(a,1),44242(a,1,2,2,2,2,2)),rewrite(29777(8),29777(9))]. given #1068 (T,wt=17): 45450 f(f(x,y),f(x,f(c_0,f(y,z)))) = f(c_0,f(x,y)). [para(42745(a,1),42592(a,1,2)),rewrite(13353(3,R),29777(3)),flip(a)]. given #1069 (T,wt=17): 45946 f(x,f(c_0,f(f(x,y),f(f(y,z),f(y,u))))) = c_0. [para(28468(a,1),45496(a,1,2,2,1,2)),rewrite(13353(13,R),29777(9),14553(9))]. Low Water (keep): wt=57, part=0.95, limit=57 given #1070 (T,wt=17): 46173 f(x,f(c_0,f(f(x,y),f(f(z,y),f(y,u))))) = c_0. [para(38268(a,1),45937(a,1,2,2,2,2)),rewrite(29777(6))]. given #1071 (T,wt=17): 46186 f(f(x,y),f(c_0,f(f(z,y),f(y,f(x,y))))) = y. [para(20(a,1),30126(a,1,2,2,2,1)),rewrite(20(3),20(6),20(11))]. given #1072 (A,wt=45): 30333 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(27375),rewrite(29777(4),29777(9),29777(17),29777(20),29777(21),29777(23),29777(24))]. given #1073 (F,wt=27): 44959 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(19228(a,1),44242(a,1,2,1)),rewrite(29777(4),13353(8,R),29777(8),29777(10),19228(18))]. given #1074 (F,wt=25): 48457 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(20(a,1),44959(a,1,2,2,2,1,2,2)),rewrite(20(3),29777(3),20(9),29777(7),13353(7),29777(7))]. given #1075 (F,wt=27): 46576 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(10878(a,1),43780(a,1,1,2,2)),rewrite(29777(5),19228(5),29777(2),13353(2),10878(8))]. given #1076 (F,wt=27): 46577 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(19228(a,1),43780(a,1,1,2)),rewrite(29777(2),13353(2))]. Low Water (keep): wt=55, part=0.94, limit=55 given #1077 (T,wt=17): 46698 f(x,f(c_0,f(y,f(x,f(f(y,y),f(z,u)))))) = c_0. [para(31774(a,1),46009(a,1,2,2,2,2)),rewrite(13333(8),29777(6))]. given #1078 (T,wt=17): 46909 f(x,f(c_0,f(f(x,y),f(f(x,y),f(z,y))))) = c_0. [para(46774(a,1),19696(a,1,2,2,2)),rewrite(29777(3),29777(4),29777(5),29777(6))]. given #1079 (T,wt=17): 46963 f(f(x,f(x,y)),f(y,y)) = f(f(x,x),f(y,y)). [para(43352(a,1),29777(a,2)),rewrite(29777(1),29777(7))]. given #1080 (T,wt=17): 47166 f(x,f(f(y,f(y,x)),f(f(y,y),f(x,x)))) = c_0. [para(43438(a,1),29777(a,1)),rewrite(29777(2),29777(6),29777(8)),flip(a)]. given #1081 (A,wt=57): 30353 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(27262),rewrite(29777(4),29777(5),29777(9),29777(10),29777(12),29777(16),29777(17),29777(21),29777(22),29777(28),29777(29))]. given #1082 (F,wt=27): 47575 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(10878(a,1),44781(a,1,1,2))]. given #1083 (F,wt=27): 47579 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(31452(a,1),44781(a,1,1,2))]. given #1084 (F,wt=29): 43509 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(20(a,1),43359(a,1,2,2,2,2,2)),rewrite(29777(3),29777(7),29777(9),29777(13))]. given #1085 (F,wt=29): 43585 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(43507(a,1),19696(a,1,2,2,2)),rewrite(29777(13))]. given #1086 (T,wt=17): 48006 f(f(x,y),f(y,f(c_0,f(x,z)))) = f(c_0,f(x,y)). [para(29777(a,1),45450(a,1,1)),rewrite(29777(8))]. given #1087 (T,wt=17): 48337 f(x,f(c_0,f(f(y,x),f(f(y,z),f(y,u))))) = c_0. [para(45946(a,1),37818(a,1,1,2)),rewrite(29777(5),29777(6),29777(14),32189(23),29777(3)),flip(a)]. given #1088 (T,wt=17): 48408 f(x,f(c_0,f(f(y,x),f(f(z,y),f(y,u))))) = c_0. [para(46173(a,1),37818(a,1,1,2)),rewrite(29777(5),29777(6),29777(14),32189(23),29777(3)),flip(a)]. given #1089 (T,wt=17): 48419 f(f(x,y),f(c_0,f(f(z,x),f(x,f(x,y))))) = x. [para(46186(a,1),29777(a,2)),rewrite(29777(3),29777(7),29777(8))]. given #1090 (A,wt=55): 30358 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(27221),rewrite(29777(4),29777(13),29777(15),29777(16),29777(21),29777(23),29777(30))]. given #1091 (F,wt=29): 43587 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(43507(a,1),29789(a,1,2,2,2)),rewrite(29777(2),29777(6),29777(12),29777(13),29777(15))]. given #1092 (F,wt=29): 43596 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(43507(a,1),31689(a,1,1,2,2)),rewrite(29777(1),29777(2),10878(3),29777(4),29777(8))]. given #1093 (F,wt=29): 43652 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(43507(a,1),37595(a,1,2,2,2,2,2)),rewrite(20(3),10878(12),20(14),29777(13),31452(14),29777(15))]. given #1094 (F,wt=29): 44241 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(43508(a,1),19696(a,1,2,2,2)),rewrite(29777(12))]. given #1095 (T,wt=17): 48799 f(f(c_0,f(x,y)),f(f(z,z),f(x,x))) = f(x,y). [para(46963(a,1),37500(a,1,1)),rewrite(29777(7))]. given #1096 (T,wt=17): 48808 f(f(c_0,f(x,y)),f(x,f(f(z,z),f(y,y)))) = c_0. [para(46963(a,1),38453(a,1,1,2)),rewrite(13353(8,R),29777(8),13333(8),29777(8))]. given #1097 (T,wt=17): 49614 f(f(c_0,f(x,y)),f(y,f(f(z,z),f(x,x)))) = c_0. [para(48808(a,1),42554(a,1,1,2,2,2,2)),rewrite(29777(9),29777(12),14553(12),29777(9),39859(10),29777(10),13353(18,R),29777(16),31915(17),29777(10),14553(11))]. given #1098 (T,wt=19): 31807 f(x,f(f(y,f(x,x)),f(x,f(z,z)))) = f(x,f(z,z)). [para(23905(a,1),31422(a,1,2,1)),rewrite(29777(10),14429(10),29777(7),14553(7),14387(9))]. given #1099 (A,wt=45): 30374 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(27044),rewrite(29777(3),29777(8),29777(16),29777(19),29777(20),29777(22),29777(23))]. given #1100 (F,wt=29): 44246 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(43508(a,1),29789(a,1,2,2,2)),rewrite(29777(14))]. given #1101 (F,wt=29): 44960 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(44242(a,1),19696(a,1,2,2,2)),rewrite(29777(13))]. given #1102 (F,wt=29): 44964 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(44242(a,1),29789(a,1,2,2,2)),rewrite(29777(15))]. given #1103 (F,wt=29): 45008 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(44242(a,1),32954(a,2,2)),rewrite(29777(2),29777(6),29777(11),29777(15),29777(23),29777(27),29777(32),29777(36),29777(43),29777(47),29777(53),33278(54))]. given #1104 (T,wt=19): 31895 f(f(c_0,f(x,f(x,y))),f(f(x,y),f(z,f(x,x)))) = c_0. [para(31719(a,1),29789(a,1,2,2,2)),rewrite(29777(9))]. given #1105 (T,wt=19): 31913 f(f(c_0,f(x,f(y,z))),f(c_0,f(u,f(c_0,f(y,z))))) = c_0. [para(16159(a,1),31801(a,1,1,2,2)),rewrite(29777(9))]. given #1106 (T,wt=19): 31914 f(f(c_0,f(x,y)),f(c_0,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(16159(a,1),31801(a,1,2,2)),rewrite(13353(6,R),29777(5),29777(11))]. given #1107 (T,wt=19): 31945 f(f(x,y),f(c_0,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = c_0. [para(16159(a,1),31802(a,1,1))]. given #1108 (A,wt=33): 30444 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(26552),rewrite(29777(13),29777(14),29777(17))]. given #1109 (F,wt=29): 45686 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(23970(a,1),43364(a,1,1,2,2)),rewrite(19304(5),29777(2),13353(2),23970(9),13353(9,R),29777(9),29777(12))]. given #1110 (F,wt=27): 49964 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(33138(a,1),45686(a,1,2,2,1,2)),rewrite(29777(2),29777(5),29777(9),14553(9),29777(6),29777(8),29777(12),13353(15,R),29777(12),14553(12))]. given #1111 (F,wt=27): 49999 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(29777(a,1),49964(a,1,2)),rewrite(29777(2),29777(5),29777(11))]. given #1112 (F,wt=29): 45689 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(23972(a,1),43364(a,1,1,2,2)),rewrite(19228(5),29777(2),13353(2),23972(9),13353(9,R),29777(9),29777(12))]. given #1113 (T,wt=19): 31968 f(x,f(c_0,f(f(x,f(y,x)),f(z,f(y,x))))) = f(y,x). [para(19304(a,1),23970(a,1,2,2,2,2,2)),rewrite(19304(4),29777(6),31452(6),19304(14),29777(11),31452(11))]. given #1114 (T,wt=19): 32269 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,x)))))) = f(x,y). [para(31944(a,1),31684(a,1,2,2,2)),rewrite(29777(10),14553(10))]. Low Water (keep): wt=53, part=0.88, limit=53 given #1115 (T,wt=19): 32276 f(f(x,y),f(c_0,f(y,f(y,f(z,f(y,f(x,y))))))) = c_0. [para(31991(a,1),19696(a,1,2,2,2)),rewrite(29777(7))]. given #1116 (T,wt=19): 32293 f(f(x,y),f(c_0,f(x,f(x,f(z,f(x,f(x,y))))))) = c_0. [para(31991(a,1),31689(a,1,1,2,2)),rewrite(29777(1),29777(2),10878(3),29777(3))]. given #1117 (A,wt=27): 30445 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(26551),rewrite(29777(7),29777(8),29777(13))]. given #1118 (F,wt=29): 45718 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(20(a,1),43365(a,1,2,2,1,2)),rewrite(29777(10))]. given #1119 (F,wt=29): 45767 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(20(a,1),43366(a,1,2,2,1,2)),rewrite(29777(10))]. given #1120 (F,wt=29): 47175 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(43438(a,1),31879(a,1,2,2,2)),rewrite(29777(13))]. given #1121 (F,wt=29): 47179 f(f(c_0,f(x,y)),f(f(y,f(x,y)),f(c_0,f(f(z,f(y,z)),f(f(y,y),f(z,z)))))) = c_0 # label(false). [para(43438(a,1),32041(a,1,2,2,2)),rewrite(29777(13))]. given #1122 (T,wt=19): 32300 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(z,f(x,x)))) = c_0. [para(32142(a,1),29789(a,1,2,2,2)),rewrite(29777(9))]. Low Water (keep): wt=51, part=0.86, limit=51 given #1123 (T,wt=19): 32349 f(f(x,x),f(f(y,f(x,x)),f(x,z))) = f(y,f(x,x)). [para(24498(a,1),31893(a,1,2,2,2,2)),rewrite(32343(14),13333(6),29777(4))]. given #1124 (T,wt=19): 32551 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(x,z))). [para(28468(a,1),20(a,1,1)),rewrite(13353(11,R),29777(7),14553(7)),flip(a)]. given #1125 (T,wt=17): 50757 f(f(c_0,f(x,y)),f(x,f(f(x,z),f(x,y)))) = c_0. [para(32551(a,1),38453(a,1,1)),rewrite(13353(9,R),29777(9),14553(10),29777(8))]. given #1126 (A,wt=45): 30492 f(x,f(c_0,f(f(y,x),f(f(x,f(f(y,x),f(f(x,z),f(c_0,f(z,f(x,f(x,z))))))),f(f(c_0,f(y,x)),f(c_0,f(z,f(x,f(x,z))))))))) = c_0. [back_rewrite(25649),rewrite(29777(9),29777(16),29777(20),29777(21),29777(22),29777(25))]. given #1127 (F,wt=29): 47230 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(c_0,f(f(z,f(x,z)),f(f(x,x),f(z,z)))))) = c_0 # label(false). [para(43438(a,1),37839(a,1,1,2,2)),rewrite(29777(9),29777(22),47196(22),29777(14),29777(15),29777(25),47196(25))]. given #1128 (F,wt=29): 47469 f(f(c_0,f(x,f(y,x))),f(f(y,x),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))) = c_0 # label(false). [para(47359(a,1),29789(a,1,2,2,2)),rewrite(29777(14))]. given #1129 (F,wt=29): 47473 f(x,f(c_0,f(f(y,x),f(f(y,x),f(f(x,z),f(f(z,z),f(f(x,x),f(z,z)))))))) = c_0 # label(false). [para(47359(a,1),31689(a,1,1,2,2)),rewrite(19304(4))]. given #1130 (F,wt=29): 47829 f(f(x,y),f(y,f(c_0,f(f(z,f(c_0,f(x,y))),f(f(z,z),f(f(x,y),f(z,z))))))) = y # label(false). [para(20(a,1),44956(a,1,2,2,2,2,1)),rewrite(29777(6),29777(12))]. given #1131 (T,wt=19): 32552 f(f(x,f(y,x)),f(c_0,f(x,f(z,f(y,x))))) = f(y,x). [para(20(a,1),28468(a,1,1,2)),rewrite(29777(2),20(6),29777(5))]. given #1132 (T,wt=19): 32570 f(f(f(x,y),f(x,z)),f(x,f(f(x,y),f(x,z)))) = c_0. [para(28468(a,1),29987(a,1,1,2)),rewrite(29777(4),14553(11),29777(8))]. given #1133 (T,wt=19): 32598 f(f(c_0,f(x,y)),f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(20(a,1),32564(a,1,2,2,1)),rewrite(13353(3,R),29777(3),29777(6))]. given #1134 (T,wt=15): 51203 f(x,f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(32598(a,1),48799(a,1,1,2)),rewrite(13353(11,R),29777(9),14553(9),29777(6),31478(7),51190(10)),flip(a)]. given #1135 (A,wt=45): 30502 f(x,f(c_0,f(f(y,x),f(f(c_0,f(f(y,x),f(f(x,z),f(c_0,f(z,f(x,f(x,z))))))),f(f(c_0,f(y,x)),f(c_0,f(z,f(x,f(x,z))))))))) = c_0. [back_rewrite(25610),rewrite(29777(9),29777(17),29777(21),29777(23),29777(26))]. given #1136 (F,wt=25): 52610 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(48945),rewrite(52427(14),43352(10))]. given #1137 (F,wt=25): 52650 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(47169),rewrite(52427(8),43352(4))]. given #1138 (F,wt=25): 52690 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(10878(a,1),52610(a,1,2,1)),rewrite(29777(11))]. given #1139 (F,wt=25): 52698 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(29777(a,1),52610(a,1,1,1)),rewrite(29777(5))]. given #1140 (T,wt=15): 52393 f(x,f(c_0,f(y,f(z,f(y,x))))) = f(y,x). [para(51203(a,1),29777(a,2)),rewrite(29777(2),29777(6),29777(7))]. given #1141 (T,wt=15): 53124 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(x,y))). [para(37998(a,1),52393(a,1,2,2,2)),rewrite(29777(5),51190(7))]. Low Water (keep): wt=49, part=0.85, limit=49 given #1142 (T,wt=15): 53321 f(x,f(c_0,f(y,f(z,f(x,x))))) = f(x,y). [para(2387(a,1),53124(a,2,2,2)),rewrite(29777(4),13333(9),29777(7))]. given #1143 (T,wt=15): 53322 f(x,f(c_0,f(y,z))) = f(y,f(c_0,f(x,z))). [para(53124(a,1),10878(a,1,2,2)),rewrite(37704(6),29777(6))]. given #1144 (A,wt=41): 30616 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(25100),rewrite(29777(9),29777(11),29777(17))]. Low Water (keep): wt=47, part=0.83, limit=47 given #1145 (F,wt=19): 53434 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(x,y)))))))) = c_0 # label(false). [para(53124(a,1),31869(a,1)),rewrite(29777(2),29777(7))]. given #1146 (F,wt=19): 53436 f(x,f(c_0,f(y,f(x,f(z,f(z,f(x,f(x,y)))))))) = c_0 # label(false). [para(53124(a,2),31869(a,1))]. given #1147 (F,wt=19): 55176 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(y,x)))))))) = c_0 # label(false). [para(53434(a,1),29777(a,1)),rewrite(29777(3),29777(10)),flip(a)]. given #1148 (F,wt=19): 55304 f(x,f(c_0,f(y,f(x,f(z,f(z,f(x,f(y,x)))))))) = c_0 # label(false). [para(53436(a,1),29777(a,1)),rewrite(29777(3),29777(10)),flip(a)]. given #1149 (T,wt=15): 53338 f(f(c_0,f(x,y)),f(c_0,f(z,f(z,y)))) = c_0. [para(19696(a,1),53124(a,1,2,2)),rewrite(13330(4),29777(3),29777(9)),flip(a)]. given #1150 (T,wt=15): 53348 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(y,x))). [para(53124(a,1),29777(a,2)),rewrite(29777(4),29777(6))]. given #1151 (T,wt=15): 53362 f(x,f(c_0,f(y,f(y,f(z,f(x,y)))))) = c_0. [para(53124(a,1),29054(a,1)),rewrite(29777(2),29777(5))]. given #1152 (T,wt=15): 53364 f(x,f(c_0,f(y,f(x,f(z,f(x,y)))))) = c_0. [para(53124(a,2),29054(a,1))]. given #1153 (A,wt=43): 30629 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(24971),rewrite(29777(6),29777(11),29777(12),29777(14),29777(19))]. given #1154 (F,wt=23): 53694 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(53124(a,2),34802(a,1,2,2)),rewrite(29777(1),29777(4),29777(8),29777(10),29777(11),19304(11),29777(8),13353(8),29777(9))]. given #1155 (F,wt=23): 55989 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(29777(a,1),53694(a,1,1)),rewrite(29777(1),29777(3),29777(6))]. given #1156 (F,wt=25): 52699 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(29777(a,1),52610(a,1,1)),rewrite(29777(1),29777(9))]. given #1157 (F,wt=25): 52911 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(29777(a,1),52690(a,1,1,1)),rewrite(29777(6))]. given #1158 (T,wt=15): 53418 f(f(x,y),f(y,f(x,f(c_0,f(y,z))))) = y. [para(53124(a,2),31818(a,1,2,2))]. given #1159 (T,wt=15): 53423 f(f(x,y),f(x,f(y,f(c_0,f(x,z))))) = x. [para(53124(a,1),31893(a,1,2,2)),rewrite(29777(3))]. given #1160 (T,wt=15): 53533 f(x,f(c_0,f(y,f(c_0,f(z,f(x,y)))))) = c_0. [para(53124(a,2),33023(a,1,2,2)),rewrite(29777(4))]. given #1161 (T,wt=15): 55774 f(x,f(c_0,f(y,f(y,f(z,f(y,x)))))) = c_0. [para(53362(a,1),29777(a,1)),rewrite(29777(3),29777(8)),flip(a)]. given #1162 (A,wt=43): 30658 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(24527),rewrite(29777(6),29777(11),29777(12),29777(14),29777(19))]. given #1163 (F,wt=25): 53977 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(53124(a,1),43507(a,1,2,2,1,2)),rewrite(29777(3))]. given #1164 (F,wt=25): 53981 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(53124(a,2),43507(a,1,2,2,1,2))]. Low Water (keep): wt=45, part=0.78, limit=45 given #1165 (F,wt=25): 54022 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(53124(a,1),43511(a,1,2,2,1,2)),rewrite(29777(3))]. given #1166 (F,wt=25): 54026 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(53124(a,2),43511(a,1,2,2,1,2))]. given #1167 (T,wt=15): 55874 f(x,f(c_0,f(y,f(x,f(z,f(y,x)))))) = c_0. [para(53364(a,1),29777(a,1)),rewrite(29777(3),29777(8)),flip(a)]. given #1168 (T,wt=15): 56225 f(f(x,f(y,f(z,z))),f(x,f(z,x))) = x. [para(37703(a,1),53418(a,1,2,2)),rewrite(29777(3),29777(4))]. given #1169 (T,wt=15): 56407 f(x,f(c_0,f(y,f(c_0,f(z,f(y,x)))))) = c_0. [para(53533(a,1),29777(a,1)),rewrite(29777(4),29777(9)),flip(a)]. given #1170 (T,wt=17): 53319 f(f(x,y),f(x,f(c_0,f(z,y)))) = f(c_0,f(x,y)). [para(53124(a,1),20(a,1,1)),rewrite(29777(6),29777(9),13353(11,R),29777(9),14553(9),29777(6),29777(8))]. given #1171 (A,wt=55): 30835 f(f(x,f(y,y)),f(c_0,f(f(y,y),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))))) = c_0. [back_rewrite(23596),rewrite(29777(7),29777(8),29777(11),29777(14),29777(15),29777(18),29777(20),29777(21))]. given #1172 (F,wt=25): 54057 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(53124(a,1),44242(a,1,2))]. given #1173 (F,wt=25): 54059 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(53124(a,2),44242(a,1,2)),rewrite(29777(8))]. Low Water (keep): wt=43, part=0.75, limit=43 given #1174 (F,wt=25): 56097 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(10878(a,1),52699(a,1,2,1))]. given #1175 (F,wt=25): 56566 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(53977(a,1),29777(a,1)),rewrite(29777(2),29777(6),29777(11),29777(12)),flip(a)]. given #1176 (T,wt=17): 53320 f(f(x,x),f(c_0,f(y,f(x,z)))) = f(y,f(x,x)). [para(20(a,1),53124(a,1,2,2)),rewrite(29777(2),13353(2),29777(5)),flip(a)]. given #1177 (T,wt=17): 53379 f(x,f(c_0,f(y,f(f(x,x),f(z,u))))) = f(x,y). [para(31774(a,1),53124(a,2,2,2)),rewrite(29777(5),13333(10),29777(8))]. given #1178 (T,wt=17): 55949 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(x,z)))))) = c_0. [para(32551(a,2),53364(a,1,2,2,2)),rewrite(29777(5))]. given #1179 (T,wt=17): 56283 f(f(x,y),f(y,f(x,f(f(y,z),f(y,u))))) = y. [para(32551(a,2),53418(a,1,2,2,2,2)),rewrite(14553(8))]. given #1180 (A,wt=37): 30838 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(23587),rewrite(29777(7),29777(8),29777(11),29777(13),29777(14))]. given #1181 (F,wt=25): 57247 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(54059(a,1),29777(a,2)),rewrite(29777(1),29777(7),29777(11))]. given #1182 (F,wt=27): 52685 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). [para(20(a,1),52610(a,1,1,1)),rewrite(29777(1),29777(2),29777(5),29777(6),29777(8),2285(8),29777(6),29777(7),29777(8),13353(9,R),29777(9),29777(11))]. given #1183 (F,wt=27): 52686 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(20(a,1),52610(a,1,2,1,2)),rewrite(20(3),29777(2),29777(6),13353(9,R),29777(9),29777(11))]. given #1184 (F,wt=27): 52688 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(20(a,1),52610(a,1,2,2,2)),rewrite(29777(10),29777(12))]. given #1185 (T,wt=17): 56394 f(f(x,y),f(x,f(y,f(f(x,z),f(x,u))))) = x. [para(32551(a,2),53423(a,1,2,2,2,2)),rewrite(14553(8))]. given #1186 (T,wt=17): 56464 f(x,f(c_0,f(y,f(x,f(f(x,y),f(x,z)))))) = c_0. [para(32551(a,1),53533(a,1,2,2,2)),rewrite(29777(4))]. given #1187 (T,wt=17): 56517 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(y,z)))))) = c_0. [para(32551(a,2),55774(a,1,2,2,2)),rewrite(29777(4),29777(5))]. given #1188 (T,wt=17): 57035 f(x,f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(32551(a,1),56407(a,1,2,2,2)),rewrite(29777(3),29777(4))]. given #1189 (A,wt=45): 30861 f(f(x,y),f(x,f(c_0,f(f(z,f(x,y)),f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(z,f(z,f(v,f(c_0,f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(23493),rewrite(29777(4),29777(8),29777(9),29777(14),29777(18),29777(19))]. given #1190 (F,wt=27): 52814 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(20(a,1),52650(a,1,2,1,2)),rewrite(29777(2))]. given #1191 (F,wt=27): 52815 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(20(a,1),52650(a,1,2,2,1)),rewrite(13353(4,R),29777(4),29777(6),20(9),29777(8),29777(12))]. given #1192 (F,wt=27): 52816 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(19228(a,1),52650(a,1,2,2,1)),rewrite(13353(4,R),29777(4),29777(6),19228(10),29777(8),29777(12))]. given #1193 (F,wt=25): 59221 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(20(a,1),52816(a,1,2,1,2,2,2,2)),rewrite(20(3),29777(3),20(11),29777(9),13353(9),29777(9))]. given #1194 (T,wt=17): 57073 f(f(x,y),f(f(x,y),f(y,f(c_0,f(z,x))))) = c_0. [para(53319(a,1),32954(a,1,2,2,2)),rewrite(29777(4),29777(5),51255(20),29777(21),29777(23),23245(25),29777(22),29777(23),53282(23),29777(2),29777(3)),flip(a)]. given #1195 (T,wt=17): 58435 f(x,f(c_0,f(y,f(c_0,f(f(y,x),f(z,u)))))) = c_0. [back_rewrite(31517),rewrite(57941(9))]. given #1196 (T,wt=17): 58925 f(x,f(c_0,f(y,f(x,f(f(y,x),f(x,z)))))) = c_0. [para(56464(a,1),29777(a,1)),rewrite(29777(3),29777(9)),flip(a)]. given #1197 (T,wt=17): 59086 f(x,f(c_0,f(y,f(y,f(f(y,x),f(y,z)))))) = c_0. [para(57035(a,1),29777(a,1)),rewrite(29777(3),29777(9)),flip(a)]. given #1198 (A,wt=45): 30863 f(f(x,y),f(y,f(c_0,f(f(z,f(x,y)),f(f(u,f(c_0,f(x,y))),f(f(c_0,f(x,y)),f(z,f(z,f(v,f(c_0,f(x,y))))))))))) = f(c_0,f(x,y)). [back_rewrite(23475),rewrite(29777(4),29777(8),29777(9),29777(14),29777(18),29777(19))]. given #1199 (F,wt=27): 52905 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(20(a,1),52690(a,1,1,1)),rewrite(29777(1),29777(2),13353(3,R),29777(3),29777(5),29777(7),29777(8),29777(10),2285(10),29777(8),29777(9),29777(10),29777(13))]. given #1200 (F,wt=27): 52906 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(20(a,1),52690(a,1,1,2,2)),rewrite(29777(3))]. given #1201 (F,wt=27): 52907 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(20(a,1),52690(a,1,2,1,2)),rewrite(20(3),13353(3,R),29777(3),29777(5),29777(8),29777(10),29777(13))]. given #1202 (F,wt=27): 53004 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(20(a,1),52698(a,1,2,2,2)),rewrite(29777(10),29777(12))]. given #1203 (T,wt=17): 59283 f(x,f(c_0,f(y,f(c_0,f(f(x,y),f(z,u)))))) = c_0. [para(58435(a,1),10878(a,1,2,2)),rewrite(13353(2),12616(2),29777(4)),flip(a)]. given #1204 (T,wt=19): 32793 f(c_0,f(x,f(f(x,y),f(x,z)))) = f(f(x,y),f(x,z)). [para(28468(a,1),32634(a,1,2,2)),rewrite(23245(9),29777(5))]. given #1205 (T,wt=19): 33088 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(29054(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1206 (T,wt=19): 33090 f(x,f(c_0,f(y,f(f(z,f(x,x)),f(u,f(x,x)))))) = c_0. [para(29481(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(9),14553(10))]. given #1207 (A,wt=45): 30864 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(23474),rewrite(29777(6),29777(10),29777(11),29777(18),29777(22),29777(23))]. given #1208 (F,wt=27): 54084 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(53124(a,1),43584(a,1,2,2,2,2)),rewrite(29777(7))]. given #1209 (F,wt=25): 59825 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(32717(a,1),54084(a,1,2,2,1)),rewrite(29777(3),29777(5),29777(6),29777(8),46963(13),37999(14),37502(13),29777(11))]. given #1210 (F,wt=25): 59881 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(59825(a,1),14553(a,1,2,2)),rewrite(14553(5),29777(2),29777(5),29777(9),29777(11)),flip(a)]. given #1211 (F,wt=25): 59892 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(59825(a,1),32028(a,1,1,2,2)),rewrite(29777(9),19304(20),13333(13),29777(11))]. given #1212 (T,wt=19): 33094 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,u)))))) = f(x,y). [para(33023(a,1),31684(a,1,2,2,2)),rewrite(29777(10),14553(10))]. given #1213 (T,wt=19): 33101 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(31802(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(6),29777(11),14553(11))]. given #1214 (T,wt=19): 33115 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [para(31944(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(11),14553(11))]. given #1215 (T,wt=19): 33136 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,u)))))))) = c_0. [para(33023(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(11),14553(11))]. given #1216 (A,wt=25): 30867 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(23457),rewrite(29777(2),29777(4),29777(6),29777(8),29777(11),29777(14),30866(14),29777(4),29777(8),29777(9))]. given #1217 (F,wt=27): 54089 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(53124(a,2),43584(a,1,2,2,2,2))]. given #1218 (F,wt=27): 54173 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(53124(a,1),44240(a,1,2,2,2,2)),rewrite(29777(7))]. given #1219 (F,wt=25): 60561 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(31685(a,1),54173(a,1,2,2,1)),rewrite(20(13),29777(11),13353(11),29777(11),43352(11),40660(13))]. Low Water (keep): wt=41, part=0.70, limit=41 given #1220 (F,wt=27): 54178 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(53124(a,2),44240(a,1,2,2,2,2))]. given #1221 (T,wt=19): 33146 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(x,x)))) = c_0. [para(29481(a,1),33080(a,1,2,2,2,2,2)),rewrite(13353(9),13333(9),29777(7),29777(9))]. given #1222 (T,wt=19): 33377 f(f(x,y),f(c_0,f(z,f(z,f(u,f(c_0,f(x,y))))))) = c_0. [para(16159(a,1),33173(a,1,1))]. given #1223 (T,wt=19): 33406 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(z,f(x,u))))))) = c_0. [para(33173(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(5),29777(10),14553(10))]. given #1224 (T,wt=19): 33454 f(x,f(f(x,y),f(z,f(z,f(u,f(x,x)))))) = f(x,y). [para(33374(a,1),31684(a,1,2,2,2)),rewrite(29777(9),14553(9))]. given #1225 (A,wt=43): 30888 f(f(x,f(y,y)),f(f(y,y),f(f(z,f(y,y)),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(x,f(y,y)))))))))) = f(y,y). [back_rewrite(23379),rewrite(29777(6),29777(7),29777(10),29777(12),29777(13),29777(16),29777(17))]. given #1226 (F,wt=27): 54200 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(53124(a,1),44956(a,1,2,2,2,2)),rewrite(29777(8))]. given #1227 (F,wt=27): 54201 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(53124(a,1),44956(a,1,2)),rewrite(29777(13))]. given #1228 (F,wt=27): 54205 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(53124(a,2),44956(a,1,2,2,2,2))]. given #1229 (F,wt=27): 54206 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(53124(a,2),44956(a,1,2)),rewrite(29777(11))]. given #1230 (T,wt=19): 33461 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,x)))))))) = c_0. [para(33374(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1231 (T,wt=19): 33698 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(y,y)))) = c_0. [para(29481(a,1),33411(a,1,2,2,2)),rewrite(29777(11),14553(12))]. given #1232 (T,wt=19): 34616 f(c_0,f(f(x,y),f(y,z))) = f(y,f(f(x,y),f(y,z))). [para(32176(a,1),19230(a,1,2,2,2)),rewrite(14553(9),29777(6),14553(8)),flip(a)]. given #1233 (T,wt=17): 61217 f(f(x,f(x,y)),f(c_0,f(f(z,x),f(x,y)))) = x. [para(34616(a,2),38549(a,1,1)),rewrite(13353(8,R),29777(8),14387(9),29777(8))]. given #1234 (A,wt=43): 30894 f(f(x,f(y,z)),f(f(y,z),f(f(u,f(y,z)),f(f(v,f(c_0,f(y,z))),f(y,f(f(y,z),f(v,f(v,f(x,f(y,z)))))))))) = f(y,z). [back_rewrite(23334),rewrite(29777(7),29777(9),29777(10),29777(13),29777(14),29777(18))]. given #1235 (F,wt=27): 54209 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(53124(a,1),44958(a,1,2)),rewrite(29777(11))]. given #1236 (F,wt=27): 54210 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(53124(a,2),44958(a,1,2)),rewrite(29777(9))]. given #1237 (F,wt=27): 54233 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(53124(a,1),44959(a,1,2,2,2,2)),rewrite(29777(8))]. given #1238 (F,wt=27): 54234 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(53124(a,1),44959(a,1,2)),rewrite(29777(13))]. Low Water (keep): wt=39, part=0.67, limit=39 given #1239 (T,wt=19): 34627 f(f(f(x,y),f(y,z)),f(y,f(f(x,y),f(y,z)))) = c_0. [para(32176(a,1),29987(a,1,1,2)),rewrite(29777(4),14553(11),29777(8))]. given #1240 (T,wt=19): 34643 f(c_0,f(x,f(f(y,x),f(x,z)))) = f(f(y,x),f(x,z)). [para(32176(a,1),32634(a,1,2,2)),rewrite(23245(9),29777(5))]. given #1241 (T,wt=19): 35071 f(f(x,f(y,f(z,x))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [para(20(a,1),32576(a,1,2,1)),rewrite(13353(4,R),29777(4),29777(8),29777(10))]. given #1242 (T,wt=19): 35364 f(f(x,f(y,f(z,x))),f(c_0,f(u,f(u,f(z,x))))) = c_0. [para(20(a,1),33396(a,1,2,1)),rewrite(29777(3),29777(7),29777(9))]. given #1243 (A,wt=43): 30904 f(f(x,f(y,z)),f(f(y,z),f(f(u,f(y,z)),f(f(v,f(c_0,f(y,z))),f(z,f(f(y,z),f(v,f(v,f(x,f(y,z)))))))))) = f(y,z). [back_rewrite(23298),rewrite(29777(7),29777(9),29777(10),29777(13),29777(14),29777(18))]. given #1244 (F,wt=25): 61496 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(20(a,1),54234(a,1,2,1,2,2,2,2)),rewrite(20(3),29777(3),20(11),29777(9),13353(9),29777(9))]. given #1245 (F,wt=27): 54239 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(53124(a,2),44959(a,1,2,2,2,2))]. given #1246 (F,wt=27): 54240 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(53124(a,2),44959(a,1,2)),rewrite(29777(11))]. given #1247 (F,wt=25): 61794 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(20(a,1),54240(a,1,2,1,2,2)),rewrite(20(3),29777(1),20(9),29777(7),13353(7),29777(7))]. given #1248 (T,wt=19): 35367 f(f(x,f(y,f(x,z))),f(c_0,f(u,f(u,f(x,z))))) = c_0. [para(19228(a,1),33396(a,1,2,1)),rewrite(29777(3),29777(7),29777(9))]. given #1249 (T,wt=19): 35382 f(f(c_0,f(f(x,x),f(y,z))),f(f(x,u),f(x,v))) = c_0. [para(31513(a,1),33396(a,1,1,2,2)),rewrite(29777(8),14553(8))]. given #1250 (T,wt=19): 35867 f(x,f(x,f(f(y,f(x,x)),f(x,z)))) = f(x,f(x,z)). [para(31719(a,1),32954(a,2,2)),rewrite(29777(6),29777(15),29777(20),29777(23),33280(24))]. given #1251 (T,wt=15): 61956 f(x,f(f(y,f(x,x)),f(x,z))) = f(x,z). [para(35867(a,1),31688(a,1,2,2)),rewrite(19228(8),29777(5))]. given #1252 (A,wt=33): 30914 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(23207),rewrite(29777(4),29777(6),29777(10),29777(12),29777(16))]. given #1253 (F,wt=27): 54694 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(34809),rewrite(53330(15),29777(13))]. given #1254 (F,wt=27): 54698 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(34772),rewrite(53330(8))]. given #1255 (F,wt=27): 54727 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(34560),rewrite(53330(8))]. given #1256 (F,wt=27): 54758 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(34401),rewrite(53330(13),29777(9))]. given #1257 (T,wt=19): 36035 f(f(c_0,c_0),f(x,f(y,f(z,f(f(u,v),f(w,v6)))))) = c_0. [para(36025(a,1),35810(a,1,1,2)),rewrite(36025(17),29777(15),31449(17))]. given #1258 (T,wt=19): 36204 f(f(c_0,c_0),f(x,f(y,f(z,f(u,f(c_0,f(v,w))))))) = c_0. [para(36026(a,1),35810(a,1,1,2)),rewrite(36026(19),29777(17),31449(19))]. given #1259 (T,wt=19): 37215 f(x,f(x,f(f(y,f(x,z)),f(x,f(x,z))))) = f(x,z). [para(31772(a,1),32954(a,2,2)),rewrite(29777(7),29777(17),29777(23),29777(26),33280(27),10878(10))]. given #1260 (T,wt=19): 37514 f(f(c_0,f(f(x,y),f(z,z))),f(f(x,y),f(z,u))) = c_0. [para(37408(a,1),29987(a,1,1,2)),rewrite(29777(7),29777(9))]. given #1261 (A,wt=41): 30915 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(23206),rewrite(29777(7),29777(9),29777(15),29777(17),29777(18))]. given #1262 (F,wt=27): 54875 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(34283),rewrite(53335(13),29777(9))]. given #1263 (F,wt=27): 55362 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(43191(a,1),53436(a,1,2,2,2,2,2,2,2))]. given #1264 (F,wt=27): 55479 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(43191(a,1),55176(a,1,2,2,2,2,2,2,2))]. given #1265 (F,wt=27): 55987 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(20(a,1),53694(a,1,2,1,2)),rewrite(29777(12))]. given #1266 (T,wt=19): 37574 f(f(x,y),f(y,f(x,f(x,f(z,f(z,f(x,y))))))) = y. [back_rewrite(37418),rewrite(37500(10))]. given #1267 (T,wt=19): 37575 f(f(x,y),f(x,f(y,f(y,f(z,f(z,f(x,y))))))) = x. [back_rewrite(37417),rewrite(37500(10))]. given #1268 (T,wt=19): 37701 f(x,f(c_0,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(37634(a,1),20(a,1,1)),rewrite(13353(9,R),29777(6))]. given #1269 (T,wt=19): 37704 f(x,f(x,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(37634(a,1),19304(a,1,1)),rewrite(37634(10),29777(5))]. given #1270 (A,wt=41): 30916 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(23205),rewrite(29777(7),29777(9),29777(15),29777(17),29777(18))]. given #1271 (F,wt=19): 62282 f(f(x,x),f(f(x,y),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [para(55987(a,1),33174(a,1,2,2,2)),rewrite(29777(10),14553(11))]. given #1272 (F,wt=19): 62467 f(f(x,x),f(f(x,f(y,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(20(a,1),62282(a,1,2,2,2,2,2))]. given #1273 (F,wt=19): 62546 f(f(x,x),f(f(y,f(y,f(x,z))),f(x,f(z,z)))) = c_0 # label(false). [para(29777(a,1),62467(a,1,2))]. given #1274 (F,wt=21): 62283 f(x,f(f(y,f(x,x)),f(z,f(z,f(f(x,x),f(y,y)))))) = c_0 # label(false). [para(55987(a,1),33704(a,1,2,2,2)),rewrite(29777(3),29777(11),14553(12))]. given #1275 (T,wt=19): 37711 f(f(x,f(c_0,f(y,z))),f(y,f(x,f(c_0,f(y,z))))) = y. [para(37634(a,1),31452(a,1,2,2)),rewrite(29777(9),37634(16))]. given #1276 (T,wt=19): 37737 f(f(x,x),f(c_0,f(y,f(y,f(z,f(c_0,f(x,u))))))) = c_0. [para(37634(a,1),33411(a,1,1,2)),rewrite(29777(2),13353(2),29777(7))]. given #1277 (T,wt=19): 38000 f(f(x,f(y,y)),f(f(x,f(y,y)),f(y,z))) = f(y,z). [para(37500(a,1),10878(a,1,2,2)),rewrite(37500(13))]. given #1278 (T,wt=19): 38001 f(f(x,y),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [para(37500(a,1),19228(a,1,1)),rewrite(37500(9),29777(5))]. given #1279 (A,wt=51): 30919 f(f(x,f(y,y)),f(f(y,z),f(f(f(y,y),f(z,f(z,f(x,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))) = f(y,y). [back_rewrite(23162),rewrite(29777(5),29777(6),29777(9),29777(12),29777(13),29777(16),29777(18),29777(19))]. given #1280 (F,wt=21): 62544 f(x,f(f(y,f(y,f(z,f(x,x)))),f(f(x,x),f(z,z)))) = c_0 # label(false). [para(20(a,1),62467(a,1,1)),rewrite(29777(5),29777(8))]. given #1281 (F,wt=21): 62637 f(x,f(f(y,f(x,x)),f(z,f(z,f(f(y,y),f(x,x)))))) = c_0 # label(false). [para(62283(a,1),29777(a,1)),rewrite(29777(6),29777(10)),flip(a)]. given #1282 (F,wt=21): 62782 f(x,f(f(y,f(y,f(z,f(x,x)))),f(f(z,z),f(x,x)))) = c_0 # label(false). [para(62544(a,1),29777(a,1)),rewrite(29777(8),29777(10)),flip(a)]. given #1283 (F,wt=23): 62470 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(62282(a,1),31674(a,1,2,2,2)),rewrite(29777(10),13333(10),29777(8),29777(9))]. given #1284 (T,wt=19): 38002 f(f(x,y),f(f(z,f(x,x)),f(x,y))) = f(z,f(x,x)). [para(37500(a,1),19228(a,1,2,2)),rewrite(37500(6))]. given #1285 (T,wt=19): 38003 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(x,y))))) = f(x,y). [para(16159(a,1),37500(a,1,2,2)),rewrite(13353(5,R),29777(4),29777(9),16159(15))]. given #1286 (T,wt=19): 38006 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(x,y)))) = c_0. [para(37500(a,1),29054(a,1,1,2,2)),rewrite(37500(12),29777(9))]. given #1287 (T,wt=19): 38081 f(f(x,f(c_0,f(y,f(z,z)))),f(c_0,f(z,u))) = f(z,u). [para(37500(a,1),37500(a,1,2,2)),rewrite(13353(5,R),29777(4),37500(15))]. given #1288 (A,wt=33): 30925 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(23151),rewrite(29777(5),29777(6),29777(9),29777(12))]. given #1289 (F,wt=27): 56095 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(20(a,1),52699(a,1,2,2,1)),rewrite(29777(3),29777(6),29777(11),29777(12))]. given #1290 (F,wt=27): 56147 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(20(a,1),52911(a,1,1,2,2)),rewrite(29777(3))]. given #1291 (F,wt=27): 57342 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(20(a,1),56097(a,1,1,2,2)),rewrite(29777(5),20(9),13353(10,R),29777(10),29777(13))]. given #1292 (F,wt=27): 57343 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(20(a,1),56097(a,1,2,2,1)),rewrite(29777(3),29777(7),29777(11),29777(12))]. given #1293 (T,wt=19): 38113 f(f(x,f(c_0,f(y,z))),f(z,f(x,f(c_0,f(y,z))))) = z. [para(37998(a,1),31452(a,1,2,2)),rewrite(29777(9),37998(16))]. given #1294 (T,wt=19): 38135 f(x,f(c_0,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(37998(a,1),31479(a,1,2)),rewrite(29777(7))]. given #1295 (T,wt=19): 38223 f(x,f(f(y,f(x,x)),f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(37702(a,1),29987(a,1,1,2,2)),rewrite(29777(8),37702(15),13333(11),29777(9))]. given #1296 (T,wt=19): 38239 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(u,f(x,x)))))))) = c_0. [para(37702(a,1),33411(a,1,1,2)),rewrite(13333(3),29777(7))]. given #1297 (A,wt=29): 30926 f(x,f(f(x,y),f(f(z,f(x,x)),f(f(x,x),f(y,f(y,f(u,f(x,x)))))))) = f(x,x). [back_rewrite(23148),rewrite(29777(3),29777(4),29777(7),29777(9),29777(10),29777(12))]. given #1298 (F,wt=27): 57344 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(19228(a,1),56097(a,1,1,2,2)),rewrite(29777(5),19228(10),13353(10,R),29777(10),29777(13))]. given #1299 (F,wt=27): 58727 f(f(x,f(y,f(y,f(x,z)))),f(f(x,f(x,z)),f(z,f(c_0,f(x,f(y,y)))))) = c_0 # label(false). [para(53124(a,1),52685(a,1,2,2)),rewrite(29777(9))]. given #1300 (F,wt=19): 63292 f(x,f(c_0,f(f(y,x),f(f(z,f(z,x)),f(y,x))))) = c_0 # label(false). [para(41461(a,1),58727(a,1,1,2,2)),rewrite(38113(10),29777(11),29777(13),63137(16),29777(9),29777(11),29777(19),37998(19),29777(14),13353(14),29777(14),43429(16))]. given #1301 (F,wt=27): 58730 f(f(x,f(y,f(y,f(x,z)))),f(f(x,f(x,z)),f(x,f(c_0,f(z,f(y,y)))))) = c_0 # label(false). [para(53124(a,2),52685(a,1,2,2))]. given #1302 (T,wt=19): 38246 f(f(x,y),f(f(x,y),f(z,f(y,y)))) = f(z,f(y,y)). [para(37703(a,1),19228(a,1,1)),rewrite(37703(9),29777(5))]. given #1303 (T,wt=17): 63374 f(f(x,f(y,x)),f(x,f(f(y,x),f(x,z)))) = x. [para(38246(a,1),30925(a,1,2,2,2,2,2)),rewrite(13353(4,R),29777(4),13333(4),29777(2),29777(5),20(5),13353(5,R),29777(5),13333(5),29777(3),13353(6,R),29777(6),13333(6),13353(7,R),29777(7),13333(7),29777(5),31452(6),29777(5),13353(10,R),29777(10),13333(10))]. given #1304 (T,wt=19): 38263 f(f(x,f(y,f(z,f(u,y)))),f(c_0,f(u,y))) = f(u,y). [para(30935(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),36662(7),30935(14))]. given #1305 (T,wt=19): 38272 f(f(x,f(y,f(z,f(y,u)))),f(c_0,f(y,u))) = f(y,u). [para(30114(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),14553(7),30114(16))]. given #1306 (A,wt=47): 30928 f(x,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(u,f(u,f(w,f(x,x)))))))))) = f(x,x). [back_rewrite(23140),rewrite(29777(3),29777(4),29777(7),29777(10),29777(11),29777(14),29777(16),29777(17),29777(21))]. given #1307 (F,wt=27): 59005 f(f(f(x,y),f(y,z)),f(f(x,f(x,y)),f(y,f(c_0,f(f(x,y),f(y,z)))))) = c_0 # label(false). [para(56517(a,1),37818(a,1,1,2)),rewrite(29777(7),14553(7),39028(21),29777(12),56517(22))]. given #1308 (F,wt=27): 59092 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(57035(a,1),37763(a,1,2,2)),rewrite(10878(14),29777(14),34643(14),29777(12),57035(20))]. given #1309 (F,wt=27): 59214 f(f(x,y),f(f(y,f(y,f(z,f(z,f(x,y))))),f(y,f(c_0,f(x,f(z,z)))))) = c_0 # label(false). [para(53124(a,1),52815(a,1,2,2)),rewrite(29777(9))]. given #1310 (F,wt=27): 59215 f(f(x,y),f(f(y,f(y,f(z,f(z,f(x,y))))),f(x,f(c_0,f(y,f(z,z)))))) = c_0 # label(false). [para(53124(a,2),52815(a,1,2,2))]. given #1311 (T,wt=19): 38282 f(x,f(y,f(c_0,f(z,f(c_0,f(u,f(x,x))))))) = f(x,x). [para(37702(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),13333(11),29777(9),37702(15))]. given #1312 (T,wt=19): 38283 f(f(x,x),f(f(y,x),f(z,f(x,x)))) = f(z,f(x,x)). [back_rewrite(32313),rewrite(38246(10),2387(7),29777(6),38246(12))]. given #1313 (T,wt=19): 38457 f(f(x,f(y,f(z,u))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(16159(a,1),37712(a,1,2,2,2,2))]. given #1314 (T,wt=19): 38490 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(c_0,f(y,u))))))) = c_0. [para(37712(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(11),14553(11))]. given #1315 (A,wt=59): 30934 f(f(x,f(y,y)),f(f(y,y),f(f(f(y,y),f(f(z,f(y,y)),f(f(x,f(y,y)),f(z,f(y,y))))),f(f(y,u),f(f(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))) = f(y,y). [back_rewrite(23123),rewrite(29777(5),29777(7),29777(9),29777(13),29777(16),29777(17),29777(20),29777(22),29777(23))]. Low Water (keep): wt=37, part=0.60, limit=37 given #1316 (F,wt=27): 59250 f(f(x,y),f(f(x,f(x,f(z,f(z,f(x,y))))),f(y,f(c_0,f(x,f(z,z)))))) = c_0 # label(false). [para(53124(a,1),52816(a,1,2,2)),rewrite(29777(9))]. given #1317 (F,wt=27): 59254 f(f(x,y),f(f(x,f(x,f(z,f(z,f(x,y))))),f(x,f(c_0,f(y,f(z,z)))))) = c_0 # label(false). [para(53124(a,2),52816(a,1,2,2))]. given #1318 (F,wt=27): 59501 f(f(x,f(y,f(c_0,f(x,f(z,z))))),f(f(x,f(x,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(53124(a,1),52905(a,1,2,2)),rewrite(29777(9),29777(13))]. given #1319 (F,wt=27): 59504 f(f(x,f(x,f(c_0,f(y,f(z,z))))),f(f(x,f(x,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(53124(a,2),52905(a,1,2,2)),rewrite(29777(13))]. given #1320 (T,wt=19): 38520 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,u)))) = c_0. [para(29878(a,1),37712(a,1,2,2,2,2)),rewrite(14553(11))]. given #1321 (T,wt=19): 38543 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [para(37500(a,1),37712(a,1,2,2,2,2))]. given #1322 (T,wt=19): 38553 f(f(x,f(y,f(z,u))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(16159(a,1),37728(a,1,2,2,2,2))]. given #1323 (T,wt=19): 38614 f(f(x,f(x,f(y,z))),f(x,f(u,f(c_0,f(y,z))))) = x. [para(29878(a,1),37728(a,1,2,2,2,2)),rewrite(14553(10),29777(9))]. given #1324 (A,wt=59): 30949 f(f(f(x,y),f(z,z)),f(f(z,f(f(x,y),f(y,f(y,f(f(x,y),f(z,z)))))),f(f(u,f(z,z)),f(f(z,z),f(f(x,y),f(f(x,y),f(y,f(y,f(f(x,y),f(z,z)))))))))) = f(z,z). [back_rewrite(23077),rewrite(29777(7),29777(10),29777(16),29777(19),29777(22),29777(24),29777(25))]. given #1325 (F,wt=27): 59877 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(20(a,1),59825(a,1,1,2)),rewrite(29777(4),13353(7,R),29777(7),13353(11,R),29777(11),51255(13),20(17))]. given #1326 (F,wt=19): 64154 f(f(x,x),f(c_0,f(y,f(y,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(59877(a,1),33174(a,1,2,2,2)),rewrite(29777(7))]. given #1327 (F,wt=19): 64156 f(x,f(c_0,f(y,f(y,f(z,f(z,f(y,f(x,x)))))))) = c_0 # label(false). [para(59877(a,1),33704(a,1,2,2,2)),rewrite(29777(3),29777(7))]. given #1328 (F,wt=19): 64162 f(x,f(c_0,f(f(x,f(y,f(y,f(x,z)))),f(z,z)))) = c_0 # label(false). [para(59877(a,1),38456(a,1,1)),rewrite(29777(2))]. given #1329 (T,wt=17): 64127 f(f(c_0,f(x,y)),f(x,f(f(z,u),f(y,y)))) = c_0. [para(30949(a,1),37712(a,1,2,2,2,2)),rewrite(13333(8),29777(8))]. given #1330 (T,wt=17): 64128 f(f(c_0,f(x,y)),f(y,f(f(z,u),f(x,x)))) = c_0. [para(30949(a,1),38458(a,1,2,2,2,2)),rewrite(29777(4),13333(8),29777(6),29777(8))]. given #1331 (T,wt=17): 64129 f(f(x,f(y,x)),f(x,f(f(z,u),f(y,y)))) = x. [para(30949(a,1),38554(a,1,2,2,2,2)),rewrite(29777(4),13333(7),29777(5),29777(7))]. given #1332 (T,wt=17): 64134 f(f(c_0,f(x,y)),f(f(z,u),f(x,x))) = f(x,y). [para(30949(a,1),37701(a,1,2,2,2,2)),rewrite(13333(7),29777(5),29777(7),30949(35),13333(10),29777(8))]. given #1333 (A,wt=57): 30973 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(22940),rewrite(29777(6),29777(7),29777(10),29777(12),29777(13),29777(19),29777(20),29777(23),29777(25),29777(26))]. given #1334 (F,wt=19): 64178 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(z,z)))) = c_0 # label(false). [para(59877(a,1),45497(a,1,2,2,2)),rewrite(29777(1),29777(7))]. given #1335 (F,wt=19): 64181 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(x,z))) = c_0 # label(false). [para(59877(a,1),46698(a,1,2,2,2)),rewrite(29777(2),29777(7))]. given #1336 (F,wt=19): 64197 f(x,f(y,f(z,f(z,f(y,f(x,x)))))) = f(x,f(y,y)) # label(false). [para(59877(a,1),53379(a,1,2,2)),rewrite(29777(2),13353(2),29777(4)),flip(a)]. given #1337 (F,wt=19): 64212 f(f(x,x),f(c_0,f(y,f(y,f(z,f(z,f(y,x))))))) = c_0 # label(false). [para(64154(a,1),29777(a,1)),rewrite(29777(3),29777(10)),flip(a)]. given #1338 (T,wt=17): 64347 f(f(x,f(y,x)),f(x,f(f(y,y),f(z,u)))) = x. [para(29777(a,1),64129(a,1,1)),rewrite(29777(2),29777(5))]. given #1339 (T,wt=19): 38636 f(f(x,f(y,f(z,z))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(37500(a,1),37728(a,1,2,2,2,2))]. given #1340 (T,wt=19): 38677 f(f(x,f(x,f(y,y))),f(x,f(z,f(c_0,f(y,u))))) = x. [para(37634(a,1),38125(a,1,2,2,2,2)),rewrite(29777(7),13353(7),29777(9))]. given #1341 (T,wt=19): 38678 f(f(x,f(x,f(y,y))),f(x,f(z,f(c_0,f(u,y))))) = x. [para(37998(a,1),38125(a,1,2,2,2,2)),rewrite(29777(7),13353(7),29777(9))]. given #1342 (A,wt=55): 31046 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(22421),rewrite(29777(6),29777(8),29777(9),29777(12),29777(13),29777(20),29777(22),29777(23),29777(26),29777(27))]. given #1343 (F,wt=19): 64242 f(x,f(c_0,f(f(y,y),f(x,f(z,f(z,f(x,y))))))) = c_0 # label(false). [para(64154(a,1),53322(a,1)),rewrite(29777(4)),flip(a)]. given #1344 (F,wt=19): 64403 f(f(x,f(y,f(y,f(z,x)))),f(c_0,f(x,f(z,z)))) = c_0 # label(false). [para(64178(a,1),37818(a,1,1,2)),rewrite(29777(3),13333(3),29777(3),29777(7),62525(18),29777(2)),flip(a)]. given #1345 (F,wt=19): 64457 f(f(x,f(y,f(y,f(x,f(z,z))))),f(c_0,f(z,x))) = c_0 # label(false). [para(64181(a,1),37818(a,1,1,2)),rewrite(13353(2),29777(2),29777(13),29777(15),50119(18),29777(8)),flip(a)]. given #1346 (F,wt=19): 64856 f(f(c_0,f(x,f(y,x))),f(f(z,f(z,x)),f(y,x))) = c_0 # label(false). [para(37803(a,1),64403(a,1,1,2,2)),rewrite(29777(13),39390(14),13353(14,R),29777(13),37706(14),29777(9))]. given #1347 (T,wt=19): 38679 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = x. [para(37702(a,1),38125(a,1,2,2,2,2)),rewrite(13333(9),29777(9))]. given #1348 (T,wt=19): 38682 f(x,f(y,f(f(z,f(x,x)),f(u,f(x,x))))) = f(x,x). [para(20(a,1),38259(a,1,1)),rewrite(29777(2),29777(4))]. given #1349 (T,wt=19): 38690 f(f(x,x),f(f(x,y),f(z,f(f(x,u),f(x,v))))) = c_0. [para(38259(a,1),29987(a,1,1,2,2)),rewrite(29777(5),29777(6),38259(13),29777(8),13353(8),29777(8))]. given #1350 (T,wt=19): 38746 f(f(x,x),f(y,f(c_0,f(z,f(f(x,u),f(x,v)))))) = x. [para(38259(a,1),37703(a,1,2,2)),rewrite(13353(9,R),29777(6),29777(9),13353(9),29777(9),38259(15))]. given #1351 (A,wt=55): 31051 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(22414),rewrite(29777(6),29777(8),29777(9),29777(12),29777(13),29777(20),29777(22),29777(23),29777(26),29777(27))]. given #1352 (F,wt=21): 64195 f(f(x,x),f(y,f(z,f(z,f(x,y))))) = f(f(x,x),f(y,y)) # label(false). [para(59877(a,1),53320(a,1,2,2)),rewrite(29777(3),13353(3),29777(9)),flip(a)]. given #1353 (F,wt=21): 64527 f(x,f(f(y,f(x,y)),f(z,f(z,f(f(x,x),f(y,y)))))) = c_0 # label(false). [para(46963(a,1),64197(a,1,2,2,2,2)),rewrite(29777(1),29777(5),29777(10),29777(12),13353(14,R),29777(13),19696(14))]. given #1354 (F,wt=21): 65255 f(f(x,f(y,f(y,f(x,z)))),f(z,z)) = f(f(x,x),f(z,z)) # label(false). [para(64195(a,1),29777(a,2)),rewrite(29777(1),29777(9))]. Low Water (keep): wt=35, part=0.56, limit=35 given #1355 (F,wt=21): 65417 f(x,f(f(y,f(y,x)),f(z,f(z,f(f(y,y),f(x,x)))))) = c_0 # label(false). [para(64527(a,1),29777(a,1)),rewrite(29777(2),29777(6),29777(10)),flip(a)]. given #1356 (T,wt=17): 65644 f(x,f(c_0,f(y,f(y,f(f(y,x),f(z,u)))))) = c_0. [back_rewrite(41405),rewrite(29777(1),29777(4),65486(10))]. given #1357 (T,wt=17): 65752 f(x,f(c_0,f(y,f(y,f(f(x,y),f(z,u)))))) = c_0. [para(65644(a,1),10878(a,1,2,2)),rewrite(13353(2),12616(2),29777(3)),flip(a)]. given #1358 (T,wt=17): 65794 f(x,f(c_0,f(y,f(x,f(f(x,y),f(z,u)))))) = c_0. [para(65644(a,1),53124(a,2)),rewrite(29777(6))]. given #1359 (T,wt=17): 65855 f(x,f(c_0,f(y,f(x,f(f(y,x),f(z,u)))))) = c_0. [para(65794(a,1),29777(a,1)),rewrite(29777(3),29777(9)),flip(a)]. given #1360 (A,wt=55): 31054 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(22411),rewrite(29777(4),29777(6),29777(7),29777(10),29777(11),29777(16),29777(18),29777(19),29777(22),29777(23),29777(26))]. given #1361 (F,wt=21): 65482 f(f(x,x),f(y,f(z,f(z,f(y,x))))) = f(f(y,y),f(x,x)) # label(false). [para(65255(a,1),14553(a,1,2,2)),rewrite(14553(7),29777(9)),flip(a)]. given #1362 (F,wt=19): 65995 f(x,f(f(y,y),f(x,f(z,f(z,f(x,y)))))) = f(x,x) # label(false). [para(65482(a,2),2285(a,1,2)),rewrite(13353(3,R),29777(3),13333(3))]. given #1363 (F,wt=23): 64501 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(64197(a,1),19696(a,1,2,2,2)),rewrite(29777(9))]. given #1364 (F,wt=23): 64504 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(64197(a,1),29789(a,1,2,2,2))]. given #1365 (T,wt=19): 38750 f(f(x,y),f(y,f(f(x,z),f(f(x,y),f(x,z))))) = y. [back_rewrite(37414),rewrite(38683(8))]. given #1366 (T,wt=19): 39029 f(f(x,x),f(f(x,y),f(z,f(f(u,x),f(x,v))))) = c_0. [para(38268(a,1),29987(a,1,1,2,2)),rewrite(29777(5),29777(6),38268(13),29777(8),13353(8),29777(8))]. given #1367 (T,wt=19): 39076 f(f(x,x),f(y,f(c_0,f(z,f(f(u,x),f(x,v)))))) = x. [para(38268(a,1),37703(a,1,2,2)),rewrite(13353(9,R),29777(6),29777(9),13353(9),29777(9),38268(15))]. given #1368 (T,wt=19): 39097 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(x,f(z,z)))))) = c_0. [para(38453(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1369 (A,wt=55): 31056 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(22404),rewrite(29777(4),29777(6),29777(7),29777(10),29777(11),29777(16),29777(18),29777(19),29777(22),29777(23),29777(26))]. given #1370 (F,wt=23): 65301 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(43191(a,1),64195(a,1,2,2,2,2)),rewrite(13353(18,R),29777(16),29789(17))]. given #1371 (F,wt=23): 65369 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(37574(a,1),64195(a,1,2,2,2)),rewrite(29777(2),29777(7),29777(8),29777(9),29777(12),29777(17),13353(22,R),29777(18),64154(19))]. given #1372 (F,wt=23): 65392 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(64197(a,1),64195(a,1,2,2,2)),rewrite(13353(20,R),29777(17),33174(18))]. given #1373 (F,wt=23): 65414 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(20(a,1),64527(a,1,2,2,2,2,2)),rewrite(29777(6),29777(9))]. given #1374 (T,wt=19): 39103 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(u,f(y,z)))))) = c_0. [para(30935(a,1),38453(a,1,1,2)),rewrite(13353(14,R),29777(10),36662(10))]. given #1375 (T,wt=19): 39122 f(f(x,f(y,z)),f(c_0,f(x,f(y,f(u,f(y,z)))))) = c_0. [para(30114(a,1),38453(a,1,1,2)),rewrite(13353(14,R),29777(10),14553(10))]. given #1376 (T,wt=19): 39130 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(37634(a,1),38453(a,1,1,2)),rewrite(13353(11,R),29777(8))]. given #1377 (T,wt=19): 39144 f(f(x,f(y,z)),f(c_0,f(u,f(c_0,f(x,f(y,y)))))) = c_0. [para(38456(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1378 (A,wt=33): 31061 f(f(c_0,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(x,y). [back_rewrite(22393),rewrite(29777(7),29777(10),29777(13),29777(14))]. given #1379 (F,wt=23): 65558 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). [para(54694(a,1),65255(a,1,1,2,2)),rewrite(29777(6),29777(9),14553(9),29777(6),29777(8),29777(13),13353(17,R),29777(13),14553(13),29777(10),13353(19,R),29777(16),29777(18),29777(23),13353(27,R),29777(23),14553(23),29777(20),57498(20))]. given #1380 (F,wt=23): 65559 f(f(x,f(y,f(y,x))),f(f(z,f(z,f(y,x))),f(x,f(y,y)))) = c_0 # label(false). [para(54698(a,1),65255(a,1,1,2,2)),rewrite(29777(9),14553(9),13353(17,R),29777(13),14553(13),29777(10),13353(17,R),29777(15),13353(26,R),29777(22),14553(22),29777(19),35364(19))]. given #1381 (F,wt=23): 65572 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(59005(a,1),65255(a,1,1,2,2)),rewrite(29777(7),52634(8),13353(16,R),29777(11),13353(17,R),29777(16),13353(29,R),29777(24),57941(25),59283(23),13330(17))]. given #1382 (F,wt=23): 65573 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(59092(a,1),65255(a,1,1,2,2)),rewrite(29777(7),52634(8),13353(14,R),29777(10),13353(16,R),29777(15),13353(26,R),29777(22),57941(23),57035(21),13330(16))]. given #1383 (T,wt=19): 39158 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(u,f(y,y)))))) = c_0. [para(37500(a,1),38456(a,1,1,2)),rewrite(13353(8,R),29777(7))]. given #1384 (T,wt=19): 39159 f(f(x,f(y,z)),f(c_0,f(x,f(c_0,f(u,f(z,z)))))) = c_0. [para(37703(a,1),38456(a,1,1,2)),rewrite(13353(8,R),29777(7))]. given #1385 (T,wt=19): 39186 f(f(x,y),f(c_0,f(z,f(c_0,f(y,f(c_0,f(x,u))))))) = c_0. [para(38458(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(11),14553(11))]. given #1386 (T,wt=19): 39465 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(38544(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(7),29777(10),14553(10))]. given #1387 (A,wt=33): 31062 f(f(c_0,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(x,y). [back_rewrite(22392),rewrite(29777(7),29777(10),29777(13),29777(14))]. given #1388 (F,wt=23): 66089 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(65482(a,2),43352(a,1,2,2)),rewrite(13353(3,R),29777(3),13333(3),13353(12,R),29777(12),13333(12),13353(12,R),29777(12),13333(12))]. given #1389 (F,wt=23): 66090 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(65482(a,2),43438(a,1,2,2))]. given #1390 (F,wt=23): 66237 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(64501(a,1),37818(a,1,1,2)),rewrite(29777(7),29777(15),29777(28),38001(29),10878(19),29777(18),39859(18),29777(13),23245(13),29777(10)),flip(a)]. given #1391 (F,wt=23): 66743 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(29777(a,1),65558(a,1,1)),rewrite(29777(1),29777(3),29777(4))]. given #1392 (T,wt=17): 66974 f(f(x,x),f(f(y,x),f(z,f(c_0,f(x,u))))) = c_0. [para(38268(a,1),39465(a,1,2,2)),rewrite(13353(4,R),29777(4),29777(8),13353(8),29777(8))]. given #1393 (T,wt=19): 39537 f(f(x,f(y,z)),f(x,f(x,f(z,f(u,f(y,z)))))) = x. [para(30935(a,1),38549(a,1,1,2)),rewrite(13353(13,R),29777(9),36662(9))]. given #1394 (T,wt=19): 39554 f(f(x,f(y,z)),f(x,f(x,f(y,f(u,f(y,z)))))) = x. [para(30114(a,1),38549(a,1,1,2)),rewrite(13353(13,R),29777(9),14553(9))]. given #1395 (T,wt=19): 39559 f(f(x,y),f(x,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = x. [para(37634(a,1),38549(a,1,1,2)),rewrite(13353(10,R),29777(7))]. given #1396 (A,wt=47): 31070 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,v),f(f(x,y),f(y,v))))))))))) = f(c_0,f(x,y)). [back_rewrite(22378),rewrite(29777(2),29777(3),29777(4),29777(7),29777(8),29777(9),29777(15),29777(20))]. given #1397 (F,wt=23): 66764 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(20(a,1),65572(a,1,1,1)),rewrite(29777(6),29777(8))]. given #1398 (F,wt=23): 66765 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(20(a,1),65572(a,1,1,2)),rewrite(29777(2),29777(4),29777(6),29777(8),29777(10),2285(10),29777(8))]. given #1399 (F,wt=23): 66766 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(20(a,1),65572(a,1,2,2,2,2,2)),rewrite(20(4),29777(2),29777(8))]. given #1400 (F,wt=23): 66769 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(65572(a,1),29777(a,1)),rewrite(29777(4),29777(12)),flip(a)]. given #1401 (T,wt=19): 39572 f(f(x,f(y,z)),f(f(x,f(y,y)),f(y,z))) = f(y,z). [para(38552(a,1),31688(a,1,2,2,2)),rewrite(29777(7),10878(7),29777(6))]. given #1402 (T,wt=15): 67509 f(f(x,y),f(y,f(x,f(c_0,f(z,y))))) = y. [para(20(a,1),39572(a,1,2,2)),rewrite(20(3),13353(4,R),29777(4),29777(6),20(10))]. given #1403 (T,wt=19): 39597 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(u,f(y,y)))))) = x. [para(37500(a,1),38552(a,1,2,2)),rewrite(13353(5,R),29777(4),29777(9))]. given #1404 (T,wt=19): 39703 f(x,f(c_0,f(f(y,f(x,z)),f(x,f(x,z))))) = f(x,z). [para(19230(a,1),37818(a,2)),rewrite(29777(8),29777(16),29777(23),37824(28))]. given #1405 (A,wt=39): 31073 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(v,f(z,x)),f(f(z,x),f(u,f(x,u))))))) = x. [back_rewrite(22368),rewrite(29777(4),29777(8),29777(10),29777(11),29777(13),29777(18),29777(20))]. given #1406 (F,wt=23): 66770 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(29777(a,1),65572(a,1,1,2)),rewrite(29777(7))]. given #1407 (F,wt=19): 67666 f(f(x,x),f(f(x,f(y,y)),f(z,f(z,f(y,x))))) = c_0 # label(false). [para(62782(a,1),66770(a,1,1)),rewrite(13353(6,R),29777(6),13333(6),29777(4),13353(9,R),29777(9),13333(9),29777(7),13353(11,R),29777(11),13333(11),13353(15,R),29777(15),13333(15),29777(13),29777(14),65527(17),14553(12))]. given #1408 (F,wt=23): 66771 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(29777(a,1),65572(a,1,1)),rewrite(29777(6),29777(8),29777(12))]. given #1409 (F,wt=23): 66772 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(32473(a,1),65572(a,1,1,2)),rewrite(29777(2),32473(15),29777(10),65486(12))]. given #1410 (T,wt=19): 39833 f(f(x,f(y,y)),f(f(z,y),f(x,f(y,y)))) = f(z,y). [para(39780(a,1),32473(a,1,2,2)),rewrite(38246(6))]. given #1411 (T,wt=19): 39859 f(f(x,f(y,y)),f(f(y,z),f(x,f(y,y)))) = f(y,z). [para(10878(a,1),37819(a,1,2,1)),rewrite(37502(11),31452(6),10878(10))]. given #1412 (T,wt=19): 39991 f(f(x,f(x,y)),f(x,f(z,f(y,f(u,f(x,y)))))) = x. [para(30935(a,1),38644(a,1,1,2)),rewrite(13353(13,R),29777(9),36662(9))]. given #1413 (T,wt=19): 40104 f(f(c_0,f(x,f(y,y))),f(x,f(z,f(c_0,f(y,u))))) = c_0. [para(37634(a,1),38653(a,1,2,2,2,2)),rewrite(29777(8),13353(8),29777(10))]. given #1414 (A,wt=29): 31075 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(22363),rewrite(29777(2),29777(4),29777(6),29777(8),29777(11),30895(11),29777(4),29777(8),29777(11))]. given #1415 (F,wt=23): 66774 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(29921(a,1),65572(a,1,2,2,2,2,2)),rewrite(29777(2),29777(4),65160(7),44410(5),29777(5),29777(8),29777(11),29777(12),65512(14))]. given #1416 (F,wt=23): 66792 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(65572(a,1),53124(a,2)),rewrite(29777(3),29777(9))]. given #1417 (F,wt=23): 66795 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(53124(a,1),65572(a,1,2,2))]. given #1418 (F,wt=19): 68068 f(f(x,x),f(f(y,x),f(z,f(z,f(x,f(y,y)))))) = c_0 # label(false). [para(62283(a,1),66795(a,1,1)),rewrite(13353(5,R),29777(5),13333(5),13353(6,R),29777(6),13333(6),13353(12,R),29777(12),13333(12),13353(13,R),29777(13),13333(13),19304(13),29777(10),13353(10),29777(10),14553(12))]. given #1419 (T,wt=19): 40105 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(u,u)))) = c_0. [para(37998(a,1),38653(a,1,2,2,2,2)),rewrite(29777(8),13353(8))]. given #1420 (T,wt=19): 40106 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(u,f(y,y)))))) = c_0. [para(37702(a,1),38653(a,1,2,2,2,2)),rewrite(13333(10),29777(10))]. Low Water (displace): id=56635, wt=45 given #1421 (T,wt=19): 40130 f(f(x,f(y,f(z,f(u,f(x,z))))),f(c_0,f(x,z))) = c_0. [para(30935(a,1),39081(a,1,2,2)),rewrite(13353(11,R),29777(7),36662(7))]. Low Water (displace): id=58528, wt=43 given #1422 (T,wt=19): 40280 f(x,f(f(y,x),f(f(x,x),f(z,f(x,x))))) = f(y,x). [para(2387(a,1),37839(a,1,1,2,2)),rewrite(29777(5),37703(14),29777(10),19304(10),29777(7),37703(13))]. given #1423 (A,wt=35): 31084 f(f(x,y),f(f(z,f(c_0,f(u,f(x,y)))),f(u,f(f(u,f(x,y)),f(z,f(z,f(x,y))))))) = f(u,f(x,y)). [back_rewrite(22317),rewrite(29777(2),29777(3),29777(6),29777(8),29777(9),30970(9),29777(4),29777(6),29777(8),29777(11),29777(12),29777(13),29777(17))]. given #1424 (F,wt=23): 66798 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(53124(a,2),65572(a,1,2,2)),rewrite(29777(8))]. given #1425 (F,wt=23): 66811 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(20(a,1),65573(a,1,1,1)),rewrite(29777(5),29777(7))]. given #1426 (F,wt=23): 66813 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(65573(a,1),29777(a,1)),rewrite(29777(3),29777(11)),flip(a)]. Low Water (displace): id=60593, wt=41 given #1427 (F,wt=23): 66814 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(29777(a,1),65573(a,1,1,2)),rewrite(29777(6))]. given #1428 (T,wt=19): 40391 f(f(x,f(y,z)),f(x,f(x,f(c_0,f(u,f(z,z)))))) = x. [para(37703(a,1),39607(a,1,1,2)),rewrite(13353(7,R),29777(6))]. given #1429 (T,wt=19): 40476 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(z,z)))) = c_0. [para(37634(a,1),40111(a,1,2,2,2,2)),rewrite(29777(5),29777(8),13353(8))]. given #1430 (T,wt=19): 40477 f(f(x,f(y,f(c_0,f(z,f(u,u))))),f(c_0,f(u,x))) = c_0. [para(37702(a,1),40111(a,1,2,2,2,2)),rewrite(29777(6),13333(10),29777(8))]. given #1431 (T,wt=19): 40838 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(20(a,1),37713(a,1,2,1)),rewrite(13353(3,R),29777(3),29777(6))]. Low Water (keep): wt=33, part=0.50, limit=33 given #1432 (A,wt=33): 31085 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(y,f(f(y,z),f(u,f(u,f(x,f(y,z)))))))) = f(y,z). [back_rewrite(22313),rewrite(29777(2),29777(6),29777(11),29777(12),29777(14),30972(14),29777(6),29777(8),29777(9),29777(12),29777(13))]. given #1433 (F,wt=23): 66815 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(29777(a,1),65573(a,1,1)),rewrite(29777(5),29777(7),29777(11))]. given #1434 (F,wt=23): 66825 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(65573(a,1),53124(a,1)),rewrite(29777(2),29777(9),29777(10)),flip(a)]. given #1435 (F,wt=23): 66826 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(65573(a,1),53124(a,2)),rewrite(29777(2),29777(8))]. given #1436 (F,wt=23): 67368 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(20(a,1),66764(a,1,1,2)),rewrite(29777(3),29777(5),29777(7),2285(7),29777(5),29777(7))]. given #1437 (T,wt=19): 40839 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(y,y)))) = c_0. [para(20(a,1),37713(a,1,2,2,2,2)),rewrite(13353(3,R),29777(3),29777(5),29777(7),13353(7))]. given #1438 (T,wt=19): 40840 f(f(c_0,f(x,y)),f(x,f(z,f(c_0,f(u,f(x,y)))))) = c_0. [para(19228(a,1),37713(a,1,2,1)),rewrite(13353(3,R),29777(3),29777(6))]. given #1439 (T,wt=19): 40841 f(f(c_0,f(x,y)),f(f(z,f(x,y)),f(u,f(x,x)))) = c_0. [para(19228(a,1),37713(a,1,2,2,2,2)),rewrite(13353(3,R),29777(3),29777(5),29777(7),13353(7))]. given #1440 (T,wt=19): 41144 f(f(c_0,f(x,y)),f(f(z,f(y,y)),f(u,f(x,y)))) = c_0. [para(41054(a,1),28952(a,1,2,1)),rewrite(13353(3,R),29777(3),29777(7))]. given #1441 (A,wt=33): 31088 f(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(x,f(y,z)))))))) = f(y,z). [back_rewrite(22308),rewrite(29777(2),29777(6),29777(11),29777(12),29777(14),30972(14),29777(6),29777(8),29777(9),29777(12),29777(13))]. given #1442 (F,wt=23): 67369 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(20(a,1),66764(a,1,2,2,2,2,1)),rewrite(20(3),29777(7))]. given #1443 (F,wt=23): 67370 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(29777(a,1),66764(a,1,1,2)),rewrite(29777(5))]. given #1444 (F,wt=23): 67371 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(32473(a,1),66764(a,1,1,2)),rewrite(32473(11),29777(9),65486(12))]. Low Water (displace): id=61495, wt=39 given #1445 (F,wt=23): 67373 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(29921(a,1),66764(a,1,2,2,2,2,1)),rewrite(29777(1),29777(3),65160(6),44410(4),29777(4),29777(7),29777(8),29777(11),65512(14))]. given #1446 (T,wt=19): 41228 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(y,y))))) = f(x,y). [para(41054(a,1),37634(a,1,2,2,2)),rewrite(13353(3,R),29777(3))]. given #1447 (T,wt=19): 41248 f(f(x,f(y,f(z,z))),f(x,f(x,f(c_0,f(u,z))))) = x. [para(41054(a,1),38552(a,1,2,2)),rewrite(13353(3,R),29777(3),29777(9))]. given #1448 (T,wt=19): 41277 f(f(x,f(y,z)),f(f(y,z),f(x,f(z,z)))) = f(y,z). [para(37997(a,1),37728(a,1,2,2)),rewrite(29777(2))]. given #1449 (T,wt=19): 41319 f(f(c_0,f(x,y)),f(z,f(c_0,f(u,f(x,x))))) = f(x,y). [para(37999(a,1),37634(a,1,2,2,2)),rewrite(13353(3,R),29777(3))]. given #1450 (A,wt=55): 31096 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(22272),rewrite(29777(5),29777(6),29777(9),29777(13),29777(15),29777(16),29777(19),29777(22))]. given #1451 (F,wt=23): 67387 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(66764(a,1),53124(a,2)),rewrite(29777(10))]. given #1452 (F,wt=23): 67390 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(53124(a,1),66764(a,1,2,2))]. given #1453 (F,wt=23): 67393 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(53124(a,2),66764(a,1,2,2)),rewrite(29777(8))]. given #1454 (F,wt=23): 67401 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(20(a,1),66765(a,1,1,2)),rewrite(29777(7))]. given #1455 (T,wt=19): 41323 f(f(x,f(y,z)),f(f(y,z),f(x,f(y,y)))) = f(y,z). [para(37999(a,1),37728(a,1,2,2)),rewrite(29777(2))]. given #1456 (T,wt=19): 41371 f(x,f(f(f(x,x),f(y,z)),f(f(x,x),f(u,v)))) = c_0. [para(31774(a,1),38136(a,1,1,2)),rewrite(13333(3),31774(7))]. given #1457 (T,wt=19): 41722 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,x))))))) = c_0. [para(38281(a,1),25073(a,1,2,2)),rewrite(29777(11),13353(11),29777(11))]. given #1458 (T,wt=19): 41739 f(f(x,y),f(x,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = x. [para(38281(a,1),32473(a,1,2,2)),rewrite(29777(10))]. given #1459 (A,wt=55): 31097 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(z,f(z,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(u,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(22271),rewrite(29777(5),29777(6),29777(9),29777(13),29777(15),29777(16),29777(19),29777(22))]. given #1460 (F,wt=23): 67402 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(20(a,1),66765(a,1,2,2,1)),rewrite(20(9),29777(7),29777(12))]. given #1461 (F,wt=23): 67405 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(29921(a,1),66765(a,1,2,2,1)),rewrite(29777(1),29777(6),29777(8),29777(10),29777(12),65160(15),44410(13),65969(12),14553(16),37502(13),29777(11))]. given #1462 (F,wt=23): 67416 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(66765(a,1),53124(a,2)),rewrite(29777(10))]. given #1463 (F,wt=23): 67419 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(53124(a,1),66765(a,1,2,2)),rewrite(29777(8))]. given #1464 (T,wt=19): 41997 f(f(x,x),f(y,f(f(x,z),f(u,f(c_0,f(x,v)))))) = x. [para(41113(a,1),38259(a,1,2,2,1)),rewrite(29777(7))]. given #1465 (T,wt=19): 42005 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = c_0. [para(41113(a,1),38458(a,1,2,2,2,2))]. given #1466 (T,wt=19): 42008 f(f(x,y),f(y,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = y. [para(41113(a,1),38554(a,1,2,2,2,2))]. given #1467 (T,wt=19): 42446 f(x,f(x,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(42072(a,1),19228(a,1,2,2)),rewrite(42072(15),29777(5))]. given #1468 (A,wt=51): 31100 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(f(u,f(c_0,f(x,z))),f(f(v,f(x,z)),f(f(x,z),f(u,f(u,f(w,f(x,z)))))))))) = f(x,z). [back_rewrite(22266),rewrite(29777(4),29777(8),29777(12),29777(14),29777(15),29777(18),29777(21))]. given #1469 (F,wt=23): 67421 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(53124(a,2),66765(a,1,2,2)),rewrite(29777(8))]. given #1470 (F,wt=23): 67441 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(45008(a,1),66766(a,1,2,2,1)),rewrite(29777(3),29777(7),60160(11),29777(10),29777(14),60160(18),29777(11),29777(15),60160(19),65512(14),29777(11))]. given #1471 (F,wt=23): 67443 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(66766(a,1),53124(a,2)),rewrite(29777(10))]. given #1472 (F,wt=23): 67477 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(53124(a,1),66769(a,1,1,2)),rewrite(29777(12))]. given #1473 (T,wt=19): 42460 f(f(x,x),f(c_0,f(y,f(y,f(z,f(c_0,f(u,x))))))) = c_0. [para(42072(a,1),33138(a,1,2,2)),rewrite(29777(10),13353(10),29777(10))]. given #1474 (T,wt=19): 42596 f(f(x,y),f(x,f(z,f(x,f(u,f(u,f(x,y))))))) = x. [para(31674(a,1),42342(a,1,2,1)),rewrite(29777(6),31674(14))]. given #1475 (T,wt=19): 42602 f(f(x,y),f(y,f(z,f(y,f(u,f(u,f(x,y))))))) = y. [para(31688(a,1),42342(a,1,2,1)),rewrite(29777(6),31688(14))]. Low Water (displace): id=63833, wt=37 given #1476 (T,wt=19): 42610 f(f(x,y),f(y,f(z,f(y,f(u,f(c_0,f(x,y))))))) = y. [para(31818(a,1),42342(a,1,2,1)),rewrite(29777(7),31818(16))]. given #1477 (A,wt=51): 31106 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(y,f(f(y,z),f(u,f(u,f(v,f(y,z)))))))))) = f(y,z). [back_rewrite(22236),rewrite(29777(5),29777(6),29777(9),29777(13),29777(15),29777(16),29777(19),29777(20))]. given #1478 (F,wt=23): 67479 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(53124(a,2),66769(a,1,1,2)),rewrite(29777(5))]. given #1479 (F,wt=23): 67657 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(19304(a,1),66770(a,1,2,2,2,2,2)),rewrite(19304(5),29777(2),29777(10),65487(12))]. given #1480 (F,wt=23): 67663 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(45008(a,1),66770(a,1,1,2)),rewrite(29777(8),29777(12),60160(16),29777(10),29777(14),60160(18),29777(12),29777(16),60160(20),53330(14),29777(9))]. given #1481 (F,wt=23): 67664 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(53124(a,1),66770(a,1,2,2))]. given #1482 (T,wt=19): 42611 f(f(x,y),f(x,f(z,f(x,f(u,f(c_0,f(x,y))))))) = x. [para(31893(a,1),42342(a,1,2,1)),rewrite(29777(7),31893(16))]. given #1483 (T,wt=19): 42614 f(f(x,y),f(y,f(z,f(y,f(u,f(y,f(x,y))))))) = y. [para(31991(a,1),42342(a,1,2,1)),rewrite(29777(6),31991(14))]. given #1484 (T,wt=19): 42616 f(f(x,y),f(x,f(z,f(x,f(u,f(x,f(x,y))))))) = x. [para(32146(a,1),42342(a,1,2,1)),rewrite(29777(6),32146(14))]. given #1485 (T,wt=19): 42617 f(f(x,f(x,y)),f(x,f(z,f(x,f(u,f(x,y)))))) = x. [para(32473(a,1),42342(a,1,2,1)),rewrite(29777(6),32473(14))]. given #1486 (A,wt=51): 31107 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(y,f(f(y,z),f(u,f(u,f(v,f(y,z)))))))))) = f(y,z). [back_rewrite(22235),rewrite(29777(5),29777(6),29777(9),29777(13),29777(15),29777(16),29777(19),29777(20))]. given #1487 (F,wt=19): 69887 f(f(x,x),f(f(y,f(y,f(z,x))),f(x,f(z,z)))) = c_0 # label(false). [para(62544(a,1),67664(a,1,1)),rewrite(13353(5,R),29777(5),13333(5),13353(8,R),29777(8),13333(8),13353(12,R),29777(12),13333(12),13353(14,R),29777(14),13333(14),19228(15),29777(10),13353(10),29777(10),14553(12))]. given #1488 (F,wt=23): 67665 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(53124(a,2),66770(a,1,2,2)),rewrite(29777(8))]. given #1489 (F,wt=23): 67718 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(20(a,1),66772(a,1,1,2)),rewrite(29777(7))]. given #1490 (F,wt=23): 67722 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(31684(a,1),66772(a,1,2,2,2,2,2,2,2)),rewrite(29777(14),55673(14))]. given #1491 (T,wt=19): 42696 f(f(x,y),f(x,f(z,f(x,f(x,f(c_0,f(y,u))))))) = x. [para(37728(a,1),42342(a,1,2,1)),rewrite(29777(7),37728(16))]. given #1492 (T,wt=19): 42708 f(f(x,f(y,z)),f(x,f(u,f(x,f(x,f(z,z)))))) = x. [para(38549(a,1),42342(a,1,2,1)),rewrite(29777(6),38549(14))]. given #1493 (T,wt=19): 42709 f(f(x,f(x,f(y,y))),f(x,f(z,f(x,f(y,u))))) = x. [para(38552(a,1),42342(a,1,2,1)),rewrite(29777(6),38552(14))]. given #1494 (T,wt=19): 42711 f(f(x,y),f(y,f(z,f(y,f(y,f(c_0,f(x,u))))))) = y. [para(38554(a,1),42342(a,1,2,1)),rewrite(29777(7),38554(16))]. given #1495 (A,wt=49): 31108 f(f(x,y),f(f(z,f(y,y)),f(f(y,f(z,f(z,f(x,y)))),f(f(u,f(y,y)),f(f(y,f(u,f(u,f(y,v)))),f(c_0,f(f(y,w),f(y,f(y,v6))))))))) = y. [back_rewrite(22234),rewrite(29777(3),29777(4),29777(5),29777(7),29777(9),29777(11),29777(13),29777(15),29777(17),29777(18))]. given #1496 (F,wt=23): 67735 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(66772(a,1),53124(a,1)),rewrite(29777(11),57941(13)),flip(a)]. given #1497 (F,wt=23): 67736 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(66772(a,1),53124(a,2)),rewrite(29777(3),29777(10))]. given #1498 (F,wt=23): 67739 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(53124(a,2),66772(a,1,2,2)),rewrite(29777(8))]. given #1499 (F,wt=23): 67939 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(29777(a,1),66774(a,1,1,2)),rewrite(29777(6))]. given #1500 (T,wt=19): 42717 f(f(x,f(x,y)),f(x,f(z,f(x,f(u,f(y,y)))))) = x. [para(38644(a,1),42342(a,1,2,1)),rewrite(29777(6),38644(14))]. given #1501 (T,wt=19): 42722 f(f(x,f(y,z)),f(x,f(u,f(x,f(x,f(y,y)))))) = x. [para(39607(a,1),42342(a,1,2,1)),rewrite(29777(6),29777(14),38552(14))]. Low Water (keep): wt=31, part=0.50, limit=31 given #1502 (T,wt=19): 42736 f(x,f(f(x,f(y,z)),f(u,f(z,z)))) = f(x,f(y,z)). [para(41054(a,1),42342(a,1,2,2))]. given #1503 (T,wt=19): 42737 f(x,f(f(x,f(y,z)),f(u,f(y,y)))) = f(x,f(y,z)). [para(37999(a,1),42342(a,1,2,2))]. given #1504 (A,wt=55): 31109 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(f(v,f(c_0,f(y,z))),f(y,f(f(y,z),f(v,f(v,f(w,f(y,z)))))))))) = f(y,z). [back_rewrite(22232),rewrite(29777(2),29777(6),29777(8),29777(9),29777(12),29777(16),29777(18),29777(19),29777(22),29777(23))]. given #1505 (F,wt=23): 67963 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(66774(a,1),53124(a,1)),rewrite(29777(10)),flip(a)]. given #1506 (F,wt=23): 67964 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(66774(a,1),53124(a,2)),rewrite(29777(8))]. given #1507 (F,wt=23): 67986 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(29777(a,1),66792(a,1,2,2,1,2))]. given #1508 (F,wt=23): 68014 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(66792(a,1),53124(a,2)),rewrite(29777(10),57941(12))]. given #1509 (T,wt=19): 42758 f(f(x,f(y,f(x,z))),f(x,f(y,f(y,f(x,z))))) = x. [para(42591(a,1),31674(a,1,2,2,2)),rewrite(29777(1),29777(4))]. Low Water (displace): id=66228, wt=35 given #1510 (T,wt=19): 42772 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,f(z,u))))) = y. [para(42591(a,1),29821(a,1,2,2,1)),rewrite(29777(7))]. given #1511 (T,wt=17): 70682 f(x,f(c_0,f(y,f(f(y,x),f(z,u))))) = f(y,x). [para(19228(a,1),42772(a,1,2,2,1)),rewrite(65486(9))]. given #1512 (T,wt=17): 70704 f(x,f(c_0,f(y,f(f(x,y),f(z,u))))) = f(x,y). [para(70682(a,1),10878(a,1,2,2)),rewrite(29777(1),10878(3),29777(3)),flip(a)]. given #1513 (A,wt=51): 31112 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(y,u)))))))) = f(y,z). [back_rewrite(22227),rewrite(29777(5),29777(6),29777(9),29777(13),29777(17),29777(19),29777(20))]. given #1514 (F,wt=23): 68035 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(20(a,1),66795(a,1,2,2,1)),rewrite(20(4),29777(2))]. given #1515 (F,wt=23): 68055 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(45008(a,1),66795(a,1,1,2)),rewrite(29777(8),29777(12),60160(16),65486(12),29777(12))]. given #1516 (F,wt=23): 68057 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(66795(a,1),53124(a,1)),rewrite(29777(3),29777(9),29777(11),57941(13)),flip(a)]. given #1517 (F,wt=23): 68058 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(66795(a,1),53124(a,2)),rewrite(29777(4),29777(9))]. given #1518 (T,wt=19): 42776 f(x,f(f(y,f(x,y)),f(x,f(z,u)))) = f(x,f(z,u)). [para(42591(a,1),32721(a,1,2,2)),rewrite(29777(1),42591(10))]. given #1519 (T,wt=19): 42842 f(x,f(f(x,y),f(z,f(f(y,u),f(y,v))))) = f(x,y). [para(38259(a,1),42591(a,1,2,2,2)),rewrite(29777(6),38259(13))]. given #1520 (T,wt=19): 42845 f(x,f(f(x,y),f(z,f(f(u,y),f(y,v))))) = f(x,y). [para(38268(a,1),42591(a,1,2,2,2)),rewrite(29777(6),38268(13))]. given #1521 (T,wt=19): 42892 f(x,f(f(y,f(z,z)),f(x,f(z,u)))) = f(x,f(z,u)). [para(37500(a,1),42592(a,1,2,2,2)),rewrite(37500(12))]. given #1522 (A,wt=51): 31113 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(z,f(z,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(y,u)))))))) = f(y,z). [back_rewrite(22226),rewrite(29777(5),29777(6),29777(9),29777(13),29777(17),29777(19),29777(20))]. given #1523 (F,wt=23): 68078 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(68068(a,1),31674(a,1,2,2,2)),rewrite(29777(10),13333(10),29777(8),29777(9))]. given #1524 (F,wt=23): 68290 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(20(a,1),66798(a,1,2,2,2,2,2)),rewrite(20(4),29777(2),29777(8))]. given #1525 (F,wt=23): 68291 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(10878(a,1),66798(a,1,2,2,2,2))]. given #1526 (F,wt=23): 68294 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(29777(a,1),66798(a,1,1)),rewrite(29777(5))]. given #1527 (T,wt=19): 43978 f(f(c_0,f(x,y)),f(y,f(z,f(c_0,f(u,f(x,x)))))) = c_0. [para(41113(a,1),40475(a,1,2,2)),rewrite(29777(6))]. given #1528 (T,wt=19): 43987 f(x,f(f(y,x),f(f(x,f(y,x)),f(z,u)))) = f(y,x). [para(23970(a,1),40790(a,1,1,2)),rewrite(19304(4),23970(9))]. given #1529 (T,wt=19): 43992 f(x,f(f(x,y),f(f(x,f(x,y)),f(z,u)))) = f(x,y). [para(23972(a,1),40790(a,1,1,2)),rewrite(19228(4),23972(9))]. given #1530 (T,wt=19): 44031 f(f(x,f(x,y)),f(x,f(z,f(c_0,f(u,f(x,y)))))) = x. [para(41113(a,1),40790(a,1,2,2)),rewrite(29777(5))]. given #1531 (A,wt=55): 31115 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(f(v,f(c_0,f(y,z))),f(f(w,f(y,z)),f(f(y,z),f(v,f(y,v)))))))) = f(y,z). [back_rewrite(22223),rewrite(29777(2),29777(6),29777(8),29777(9),29777(12),29777(16),29777(20),29777(22),29777(23))]. given #1532 (F,wt=23): 68307 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(66798(a,1),53124(a,1)),rewrite(29777(9),29777(10),29777(11),57941(13)),flip(a)]. given #1533 (F,wt=23): 68308 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(66798(a,1),53124(a,2))]. given #1534 (F,wt=23): 68322 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(29777(a,1),66811(a,1,1,2)),rewrite(29777(4))]. given #1535 (F,wt=23): 68331 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(66811(a,1),53124(a,1)),rewrite(29777(10),29777(12)),flip(a)]. given #1536 (T,wt=19): 44478 f(f(x,f(y,f(y,f(x,z)))),f(x,f(u,f(x,z)))) = x. [para(31674(a,1),44410(a,1,2,1)),rewrite(29777(6),31674(14))]. given #1537 (T,wt=19): 44482 f(f(x,f(y,f(x,z))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(31818(a,1),44410(a,1,2,1)),rewrite(29777(2),29777(6),29777(7),29777(9),29777(10),29777(12),31893(16))]. given #1538 (T,wt=19): 44483 f(f(x,f(y,f(x,f(x,z)))),f(x,f(u,f(x,z)))) = x. [para(31991(a,1),44410(a,1,2,1)),rewrite(29777(1),29777(5),29777(6),29777(9),29777(10),32146(14))]. given #1539 (T,wt=19): 44484 f(f(x,f(y,f(x,z))),f(x,f(u,f(x,f(x,z))))) = x. [para(32473(a,1),44410(a,1,2,1)),rewrite(29777(6),32473(14))]. given #1540 (A,wt=51): 31120 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(y,f(y,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(22197),rewrite(29777(5),29777(6),29777(9),29777(13),29777(17),29777(19),29777(20))]. given #1541 (F,wt=23): 68332 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(66811(a,1),53124(a,2)),rewrite(29777(9))]. given #1542 (F,wt=23): 68400 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(29777(a,1),66814(a,1,1)),rewrite(29777(5),29777(7),29777(11))]. given #1543 (F,wt=23): 68631 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(66825(a,1),29777(a,1)),rewrite(29777(10),29777(12)),flip(a)]. given #1544 (F,wt=23): 68633 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(29921(a,1),66825(a,1,1,2,2)),rewrite(29777(1),29777(3),29777(5),29777(6),29777(7),50631(8),29777(9),29777(11),29777(13),65160(16),44410(14),57941(16),65527(14))]. given #1545 (T,wt=19): 44524 f(f(x,f(y,f(x,z))),f(x,f(x,f(c_0,f(z,u))))) = x. [para(37728(a,1),44410(a,1,2,1)),rewrite(29777(7),29777(9),37728(16))]. given #1546 (T,wt=19): 44525 f(f(x,f(y,f(x,z))),f(x,f(x,f(c_0,f(u,z))))) = x. [para(38125(a,1),44410(a,1,2,1)),rewrite(29777(7),29777(9),38125(16))]. given #1547 (T,wt=19): 44534 f(f(x,f(y,f(z,z))),f(x,f(u,f(x,f(x,z))))) = x. [para(38644(a,1),44410(a,1,2,1)),rewrite(29777(6),38644(14))]. given #1548 (T,wt=19): 44555 f(f(f(x,y),f(x,z)),f(f(x,y),f(y,u))) = f(x,y). [para(42342(a,1),44410(a,1,2,1)),rewrite(29777(7),42342(11))]. given #1549 (A,wt=55): 31121 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(f(v,f(c_0,f(y,z))),f(f(w,f(y,z)),f(f(y,z),f(v,f(z,v)))))))) = f(y,z). [back_rewrite(22196),rewrite(29777(2),29777(6),29777(8),29777(9),29777(12),29777(16),29777(20),29777(22),29777(23))]. given #1550 (F,wt=23): 68650 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(66825(a,1),53124(a,2)),rewrite(29777(7),29777(9))]. given #1551 (F,wt=23): 68708 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(53124(a,2),67368(a,1,2,2)),rewrite(29777(8))]. given #1552 (F,wt=23): 68813 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(67369(a,1),29777(a,1)),rewrite(29777(7),29777(12),29777(13)),flip(a)]. given #1553 (F,wt=23): 68821 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(67369(a,1),53124(a,2)),rewrite(29777(6),29777(9),29777(10))]. given #1554 (T,wt=19): 44588 f(f(f(x,y),f(x,z)),f(f(x,z),f(z,u))) = f(x,z). [para(44416(a,1),44410(a,1,2,1)),rewrite(44416(11))]. given #1555 (T,wt=19): 44602 f(f(x,f(y,f(x,f(z,f(x,u))))),f(c_0,f(x,u))) = c_0. [para(32473(a,1),42344(a,1,1,2,2)),rewrite(29777(4),10878(4),32473(9),29777(7),29777(9))]. given #1556 (T,wt=19): 44639 f(f(x,f(y,f(x,f(z,u)))),f(c_0,f(x,f(z,z)))) = c_0. [para(38552(a,1),42344(a,1,1,2,2)),rewrite(29777(5),10878(5),38552(10),29777(7),29777(9))]. given #1557 (T,wt=19): 44644 f(f(x,f(y,f(x,f(z,f(u,u))))),f(c_0,f(x,u))) = c_0. [para(38644(a,1),42344(a,1,1,2,2)),rewrite(29777(4),10878(4),38644(9),29777(7),29777(9))]. given #1558 (A,wt=51): 31124 f(f(x,f(y,z)),f(f(y,z),f(f(f(y,z),f(z,f(z,f(x,f(y,z))))),f(f(u,f(c_0,f(y,z))),f(f(v,f(y,z)),f(f(y,z),f(u,f(z,u)))))))) = f(y,z). [back_rewrite(22190),rewrite(29777(5),29777(6),29777(9),29777(13),29777(17),29777(19),29777(20))]. given #1559 (F,wt=23): 68824 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(19304(a,1),67370(a,1,2,2,2,2,1)),rewrite(19304(4),29777(9),65487(12))]. given #1560 (F,wt=23): 68828 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(53124(a,1),67370(a,1,2,2))]. given #1561 (F,wt=23): 68829 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(53124(a,2),67370(a,1,2,2)),rewrite(29777(8))]. given #1562 (F,wt=23): 68837 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(67371(a,1),29777(a,1)),rewrite(29777(5),29777(7),29777(12),29777(13)),flip(a)]. given #1563 (T,wt=19): 45225 f(f(x,y),f(x,f(z,f(c_0,f(u,f(x,f(x,y))))))) = x. [para(19228(a,1),42745(a,1,2,1)),rewrite(29777(5),19228(13))]. given #1564 (T,wt=19): 45226 f(f(x,y),f(y,f(z,f(c_0,f(u,f(y,f(x,y))))))) = y. [para(19304(a,1),42745(a,1,2,1)),rewrite(29777(5),19304(13))]. given #1565 (T,wt=19): 45494 f(x,f(f(y,x),f(z,f(z,f(u,f(x,x)))))) = f(y,x). [back_rewrite(38396),rewrite(45487(16),29777(7))]. given #1566 (T,wt=19): 45498 f(x,f(c_0,f(f(x,f(y,f(z,u))),f(c_0,f(z,u))))) = c_0. [para(16159(a,1),45254(a,1,2,2,2,2))]. given #1567 (A,wt=55): 31143 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(x,z))),f(f(u,f(c_0,f(x,y))),f(f(v,f(x,y)),f(f(x,y),f(u,f(u,f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(22086),rewrite(29777(4),29777(8),29777(12),29777(14),29777(15),29777(18),29777(20),29777(21),29777(28))]. given #1568 (F,wt=23): 68840 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(31684(a,1),67371(a,1,2,2,2,2,2,2,2)),rewrite(29777(14),55673(14),29777(10))]. given #1569 (F,wt=23): 68847 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(67371(a,1),53124(a,2)),rewrite(29777(4),29777(6),29777(9),29777(10))]. given #1570 (F,wt=23): 68850 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(53124(a,2),67371(a,1,2,2)),rewrite(29777(8))]. given #1571 (F,wt=23): 68851 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(67371(a,1),53322(a,1)),rewrite(29777(6)),flip(a)]. given #1572 (T,wt=19): 45501 f(x,f(f(x,y),f(f(x,z),f(c_0,f(z,u))))) = f(x,y). [para(45254(a,1),31684(a,1,2,2,2)),rewrite(29777(10),14553(10))]. given #1573 (T,wt=19): 45526 f(x,f(c_0,f(y,f(c_0,f(f(x,z),f(c_0,f(z,u))))))) = c_0. [para(45254(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(11),14553(11))]. given #1574 (T,wt=19): 45556 f(x,f(c_0,f(f(y,z),f(x,f(u,f(c_0,f(y,z))))))) = c_0. [para(29878(a,1),45254(a,1,2,2,2,2)),rewrite(14553(11),29777(8))]. given #1575 (T,wt=19): 45576 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(c_0,f(z,u))))) = c_0. [para(37500(a,1),45254(a,1,2,2,2,2))]. given #1576 (A,wt=55): 31144 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(f(v,f(c_0,f(x,y))),f(f(w,f(x,y)),f(f(x,y),f(v,f(x,v)))))))) = f(x,y). [back_rewrite(22085),rewrite(29777(4),29777(6),29777(7),29777(10),29777(14),29777(18),29777(20),29777(21),29777(28))]. given #1577 (F,wt=23): 68855 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(20(a,1),67373(a,1,2,2,2,2,2)),rewrite(20(3),13353(5,R),29777(5),29777(8))]. given #1578 (F,wt=23): 68856 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(67373(a,1),29777(a,1)),rewrite(29777(7),29777(12)),flip(a)]. given #1579 (F,wt=23): 68857 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(29777(a,1),67373(a,1,1,2)),rewrite(29777(6))]. given #1580 (F,wt=23): 68881 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(67373(a,1),53124(a,2)),rewrite(29777(6),29777(9))]. given #1581 (T,wt=19): 45609 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(u,f(z,z)))))) = c_0. [para(41054(a,1),45254(a,1,2,2,2,2))]. given #1582 (T,wt=19): 45610 f(x,f(c_0,f(f(x,f(y,z)),f(c_0,f(u,f(y,y)))))) = c_0. [para(37999(a,1),45254(a,1,2,2,2,2))]. given #1583 (T,wt=19): 45616 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(c_0,f(y,u))))))) = c_0. [para(41113(a,1),45254(a,1,2,2,2,2))]. given #1584 (T,wt=19): 45622 f(x,f(c_0,f(f(y,y),f(x,f(z,f(c_0,f(u,y))))))) = c_0. [para(42072(a,1),45254(a,1,2,2,2,2)),rewrite(29777(8),13353(8),29777(8))]. given #1585 (A,wt=55): 31146 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(y,z))),f(f(u,f(c_0,f(x,y))),f(f(v,f(x,y)),f(f(x,y),f(u,f(u,f(w,f(x,y)))))))))) = f(x,y). [back_rewrite(22052),rewrite(29777(4),29777(8),29777(12),29777(14),29777(15),29777(18),29777(20),29777(21),29777(28))]. given #1586 (F,wt=23): 69051 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(53124(a,1),67387(a,1,2,2)),rewrite(29777(8))]. given #1587 (F,wt=23): 69053 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(53124(a,2),67387(a,1,2,2))]. given #1588 (F,wt=23): 69061 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(20(a,1),67390(a,1,2,2,2,2,2)),rewrite(20(3),29777(5),29777(8),29777(10))]. given #1589 (F,wt=23): 69062 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(10878(a,1),67390(a,1,2,2,2,2))]. given #1590 (T,wt=19): 45939 f(x,f(f(x,y),f(f(x,f(z,u)),f(u,u)))) = f(x,y). [para(45496(a,1),31684(a,1,2,2,2)),rewrite(29777(9),14553(9))]. given #1591 (T,wt=19): 45950 f(x,f(c_0,f(y,f(c_0,f(f(x,f(z,u)),f(u,u)))))) = c_0. [para(45496(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1592 (T,wt=19): 45970 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(u,f(y,z)))))) = c_0. [para(30114(a,1),45496(a,1,2,2,1,2)),rewrite(13353(14,R),29777(10),14553(10))]. given #1593 (T,wt=19): 46010 f(x,f(f(x,y),f(f(z,z),f(x,f(z,u))))) = f(x,y). [para(45497(a,1),31684(a,1,2,2,2)),rewrite(29777(9),14553(9))]. given #1594 (A,wt=55): 31147 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(f(v,f(c_0,f(x,y))),f(f(w,f(x,y)),f(f(x,y),f(v,f(y,v)))))))) = f(x,y). [back_rewrite(22051),rewrite(29777(4),29777(6),29777(7),29777(10),29777(14),29777(18),29777(20),29777(21),29777(28))]. given #1595 (F,wt=23): 69075 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(67390(a,1),53124(a,1)),rewrite(29777(11),57941(13)),flip(a)]. given #1596 (F,wt=23): 69087 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(20(a,1),67393(a,1,2,2,1)),rewrite(20(3),29777(7))]. given #1597 (F,wt=23): 69097 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(45008(a,1),67393(a,1,1,2)),rewrite(29777(7),29777(11),60160(15),65486(12))]. given #1598 (F,wt=23): 69099 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(67393(a,1),53124(a,2)),rewrite(29777(10))]. given #1599 (T,wt=19): 46018 f(x,f(c_0,f(y,f(c_0,f(f(z,z),f(x,f(z,u))))))) = c_0. [para(45497(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1600 (T,wt=19): 46049 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(c_0,f(u,z))))) = c_0. [para(41054(a,1),45497(a,1,2,2,2,2)),rewrite(13353(4,R),29777(4),29777(8))]. given #1601 (T,wt=19): 46050 f(x,f(c_0,f(f(y,y),f(x,f(z,f(c_0,f(y,u))))))) = c_0. [para(41113(a,1),45497(a,1,2,2,2,2))]. given #1602 (T,wt=19): 46052 f(x,f(c_0,f(f(x,y),f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(42072(a,1),45497(a,1,2,2,2,2)),rewrite(13353(10,R),29777(7),29777(9))]. given #1603 (A,wt=47): 31222 f(x,f(c_0,f(f(x,y),f(f(f(x,x),f(y,f(y,f(z,f(x,x))))),f(f(x,u),f(f(v,f(x,x)),f(f(x,x),f(u,f(u,f(w,f(x,x))))))))))) = c_0. [back_rewrite(21255),rewrite(29777(4),29777(5),29777(8),29777(11),29777(12),29777(15),29777(17),29777(18),29777(23))]. given #1604 (F,wt=23): 69218 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(53124(a,2),67402(a,1,1,2)),rewrite(29777(5),29777(12))]. given #1605 (F,wt=23): 69234 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(20(a,1),67405(a,1,1,2,2,2)),rewrite(13353(4,R),29777(4),29777(5),29777(6),20(11),29777(9))]. given #1606 (F,wt=23): 69235 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(19228(a,1),67405(a,1,1,2,2,2)),rewrite(13353(4,R),29777(4),29777(5),29777(6),19228(12),29777(9))]. given #1607 (F,wt=23): 69286 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(20(a,1),67416(a,1,2,2,2,2,2,2)),rewrite(20(3),29777(7),29777(10))]. given #1608 (T,wt=19): 46143 f(x,f(f(x,y),f(z,f(x,f(u,f(z,z)))))) = f(x,y). [para(45937(a,1),31684(a,1,2,2,2)),rewrite(29777(9),14553(9))]. given #1609 (T,wt=19): 46151 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,z)))))))) = c_0. [para(45937(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1610 (T,wt=19): 46714 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(u,f(y,y)))))))) = c_0. [para(37702(a,1),46009(a,1,2,2,2,2)),rewrite(13333(10),29777(8))]. given #1611 (T,wt=19): 46944 f(x,f(f(x,y),f(z,f(f(x,y),f(u,y))))) = f(x,y). [para(46774(a,1),42342(a,2)),rewrite(29777(2),29777(3),42886(4),29777(3),29777(4),29777(5),29777(8))]. Low Water (displace): id=68434, wt=33 given #1612 (A,wt=41): 31226 f(x,f(c_0,f(f(x,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(u,f(x,y)),f(f(x,y),f(z,f(z,f(v,f(x,y)))))))))) = f(x,y). [back_rewrite(21219),rewrite(29777(7),29777(9),29777(10),29777(13),29777(15),29777(16))]. given #1613 (F,wt=23): 69305 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(20(a,1),67419(a,1,2,2,1,2)),rewrite(29777(5),20(10),29777(8))]. given #1614 (F,wt=23): 69581 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(32473(a,1),67421(a,1,2,2,2,2,1)),rewrite(32473(14),29777(9),65486(12),29777(12))]. given #1615 (F,wt=23): 69633 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(53124(a,1),67443(a,1,2,2)),rewrite(29777(8))]. given #1616 (F,wt=23): 69634 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(53124(a,2),67443(a,1,2,2)),rewrite(29777(8))]. given #1617 (T,wt=19): 46950 f(f(f(x,y),f(y,z)),f(f(y,z),f(z,u))) = f(y,z). [para(46774(a,1),44410(a,1,2,1)),rewrite(46774(11))]. given #1618 (T,wt=19): 46984 f(x,f(f(y,f(x,x)),f(f(y,y),f(x,f(y,y))))) = c_0. [para(43352(a,1),32238(a,1,2,2,2)),rewrite(13353(7,R),29777(7),13333(7),29777(5))]. given #1619 (T,wt=19): 47891 f(f(x,x),f(f(y,f(y,f(x,x))),f(x,f(y,y)))) = c_0. [para(44956(a,1),37801(a,1,2,2)),rewrite(13353(3),13353(8),13333(8),29777(6),13353(10),13353(12),13333(12),29777(10),12616(10),29777(10),14553(10),13353(10),13353(15),13333(15),29777(13),14553(16),29777(14),23245(15),13353(3),13353(6),13353(11),13333(11),29777(9),14553(12)),flip(a)]. given #1620 (T,wt=19): 47999 f(f(x,f(y,z)),f(x,f(z,z))) = f(c_0,f(x,f(y,z))). [para(20(a,1),45450(a,1,2,2,2)),rewrite(29777(4),13353(4))]. given #1621 (A,wt=59): 31231 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(v,f(y,y)),f(f(y,y),f(u,f(u,f(w,f(y,y)))))))))))) = f(y,y). [back_rewrite(21162),rewrite(29777(7),29777(8),29777(11),29777(14),29777(15),29777(18),29777(20),29777(21))]. given #1622 (F,wt=23): 69859 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(20(a,1),67663(a,1,1,2,2)),rewrite(29777(3),13353(8,R),29777(8),20(11),29777(10))]. given #1623 (F,wt=23): 69885 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(67664(a,1),53124(a,2)),rewrite(29777(4),29777(9))]. given #1624 (F,wt=23): 70068 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(43359(a,1),67718(a,1,2,2,2,2,2,1,2)),rewrite(29777(18),55703(18),29777(10))]. given #1625 (F,wt=23): 70081 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(53124(a,2),67718(a,1,2,2)),rewrite(29777(8))]. given #1626 (T,wt=17): 73093 f(f(x,x),f(c_0,f(y,f(z,x)))) = f(y,f(x,x)). [para(47999(a,1),39572(a,1,1)),rewrite(29777(8),2285(8),29777(8),65486(8))]. given #1627 (T,wt=17): 73223 f(x,f(f(y,x),f(f(x,x),f(z,z)))) = f(y,x). [para(61794(a,1),73093(a,1,2,2)),rewrite(13353(15,R),29777(9),14553(9),29777(9),31478(9),13353(16,R),29777(10),14553(10)),flip(a)]. given #1628 (T,wt=19): 48002 f(f(x,f(y,y)),f(x,f(y,z))) = f(c_0,f(x,f(y,z))). [para(19228(a,1),45450(a,1,2,2,2)),rewrite(29777(4),13353(4),29777(5))]. given #1629 (T,wt=19): 48069 f(f(x,y),f(c_0,f(z,f(z,f(x,f(c_0,f(y,u))))))) = c_0. [para(45450(a,1),33411(a,1,1,2)),rewrite(14553(5),29777(7))]. given #1630 (A,wt=47): 31307 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(f(u,f(c_0,f(x,z))),f(f(v,f(x,z)),f(f(x,z),f(u,f(x,u)))))))) = f(x,z). [back_rewrite(20436),rewrite(29777(4),29777(8),29777(12),29777(16),29777(18),29777(19))]. given #1631 (F,wt=23): 70096 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(20(a,1),67722(a,1,2,2,1,2,2)),rewrite(29777(6),20(11),29777(9),13353(9),29777(9))]. given #1632 (F,wt=23): 70105 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(67722(a,1),53124(a,1)),rewrite(57941(13)),flip(a)]. given #1633 (F,wt=23): 70308 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(20(a,1),67735(a,1,1,2,2)),rewrite(29777(2),29777(10),40659(13))]. given #1634 (F,wt=23): 70309 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(20(a,1),67735(a,1,2,2,2,2,2,2)),rewrite(29777(7),29777(12))]. given #1635 (T,wt=17): 73341 f(f(c_0,f(x,y)),f(x,f(f(z,x),f(x,y)))) = c_0. [para(38268(a,1),70096(a,1,2,2,2)),rewrite(13353(6,R),29777(6),13333(6),29777(4),13353(8,R),29777(8),29777(9),14387(9),29777(8))]. given #1636 (T,wt=19): 48118 f(f(x,f(x,f(y,z))),f(x,f(y,f(c_0,f(z,u))))) = x. [para(45450(a,1),38125(a,1,2,2,2,2)),rewrite(14553(10),29777(9))]. given #1637 (T,wt=19): 48147 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(45450(a,1),38653(a,1,2,2,2,2)),rewrite(14553(11),29777(10))]. given #1638 (T,wt=19): 48151 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(y,z)))) = c_0. [para(45450(a,1),40111(a,1,2,2,2,2)),rewrite(29777(5),14553(11))]. given #1639 (A,wt=47): 31310 f(x,f(f(y,f(c_0,f(x,z))),f(f(f(x,z),f(y,f(x,y))),f(f(u,f(c_0,f(x,z))),f(f(v,f(x,z)),f(f(x,z),f(u,f(z,u)))))))) = f(x,z). [back_rewrite(20425),rewrite(29777(4),29777(8),29777(12),29777(16),29777(18),29777(19))]. given #1640 (F,wt=23): 70320 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(67735(a,1),37818(a,1,1,2)),rewrite(29777(7),14553(7),29777(10),29777(13),51255(27),66111(31),13353(16,R),29777(11),25070(12),29777(2)),flip(a)]. given #1641 (F,wt=23): 70332 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(67735(a,1),53124(a,2)),rewrite(29777(10))]. given #1642 (F,wt=23): 70357 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(67736(a,1),29777(a,1)),rewrite(29777(6),29777(13)),flip(a)]. given #1643 (F,wt=23): 70369 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(53124(a,1),67736(a,1,2,2)),rewrite(29777(8))]. given #1644 (T,wt=19): 48233 f(x,f(c_0,f(f(y,z),f(x,f(y,f(c_0,f(z,u))))))) = c_0. [para(45450(a,1),46009(a,1,2,2,2,2)),rewrite(14553(11),29777(8))]. given #1645 (T,wt=19): 48260 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(u,f(y,z)))))) = c_0. [para(20(a,1),45946(a,1,2,2,2,1)),rewrite(29777(5))]. given #1646 (T,wt=19): 49200 f(f(x,y),f(c_0,f(z,f(z,f(y,f(c_0,f(x,u))))))) = c_0. [para(48006(a,1),33411(a,1,1,2)),rewrite(14553(5),29777(7))]. given #1647 (T,wt=19): 49613 f(f(x,y),f(c_0,f(x,f(c_0,f(z,f(c_0,f(u,y))))))) = c_0. [para(38281(a,1),48808(a,1,2,2)),rewrite(29777(11))]. given #1648 (A,wt=43): 31325 f(f(x,y),f(y,f(f(y,z),f(y,f(y,f(f(u,f(y,y)),f(f(y,f(u,f(u,f(x,y)))),f(c_0,f(f(y,v),f(y,f(y,w))))))))))) = y. [back_rewrite(20330),rewrite(29777(3),29777(4),29777(5),29777(7),29777(12),29777(19))]. given #1649 (F,wt=23): 70370 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(53124(a,2),67736(a,1,2,2)),rewrite(29777(8))]. given #1650 (F,wt=23): 70382 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(67739(a,1),37818(a,1,1,2)),rewrite(29777(2),29777(8),14553(8),29777(6),29777(17),29777(23),51255(29),66111(33),13353(19,R),29777(13),25070(14),29777(6)),flip(a)]. given #1651 (F,wt=23): 70388 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(67739(a,1),53124(a,1)),rewrite(29777(3),29777(11),57941(13)),flip(a)]. given #1652 (F,wt=23): 70389 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(67739(a,1),53124(a,2)),rewrite(29777(10))]. given #1653 (T,wt=19): 49615 f(f(x,y),f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,x))))))) = c_0. [para(38281(a,1),49614(a,1,2,2)),rewrite(29777(8),29777(10),29777(11))]. given #1654 (T,wt=19): 50156 f(x,f(c_0,f(f(y,f(z,x)),f(x,f(z,x))))) = f(z,x). [para(31968(a,1),37818(a,2)),rewrite(29777(8),29777(16),29777(23),37824(28))]. given #1655 (T,wt=19): 50193 f(f(x,y),f(y,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = y. [para(20(a,1),32269(a,1,2,1)),rewrite(13353(5,R),29777(5),20(13))]. given #1656 (T,wt=19): 50194 f(f(x,y),f(x,f(z,f(c_0,f(u,f(c_0,f(x,y))))))) = x. [para(19228(a,1),32269(a,1,2,1)),rewrite(13353(5,R),29777(5),19228(14))]. given #1657 (A,wt=33): 31339 f(f(x,y),f(f(z,f(x,x)),f(f(x,f(z,f(z,f(x,y)))),f(c_0,f(f(x,u),f(x,f(x,v))))))) = x. [back_rewrite(20243),rewrite(29777(8),29777(9),30883(9),29777(3),29777(5),29777(7),29777(12))]. given #1658 (F,wt=23): 70602 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(20(a,1),67963(a,1,1,2,2)),rewrite(29777(2),13353(7,R),29777(7),20(11),29777(9),29777(10))]. given #1659 (F,wt=23): 70613 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(20(a,1),67964(a,1,2,2,1,2,2)),rewrite(13353(3,R),29777(3),29777(6),20(10),29777(10),57941(12))]. given #1660 (F,wt=23): 70615 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(67964(a,1),29777(a,1)),rewrite(29777(8),29777(12)),flip(a)]. given #1661 (F,wt=23): 70635 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(20(a,1),68014(a,1,2,2,2,2,2,1)),rewrite(20(3),29777(3))]. given #1662 (T,wt=19): 50773 f(f(x,x),f(f(c_0,f(x,y)),f(f(z,u),f(z,v)))) = x. [para(32551(a,1),37644(a,1,2,2,2)),rewrite(32793(10))]. given #1663 (T,wt=19): 50872 f(f(x,y),f(x,f(f(y,z),f(y,u)))) = f(c_0,f(x,y)). [para(32551(a,2),45450(a,1,2,2,2)),rewrite(14553(8))]. given #1664 (T,wt=19): 50886 f(f(x,y),f(y,f(f(x,z),f(x,u)))) = f(c_0,f(x,y)). [para(32551(a,2),48006(a,1,2,2,2)),rewrite(14553(8))]. given #1665 (T,wt=19): 53323 f(f(x,f(x,y)),f(c_0,f(z,x))) = f(z,f(c_0,f(x,y))). [para(10878(a,1),53124(a,1,2,2)),flip(a)]. Low Water (displace): id=70455, wt=31 given #1666 (A,wt=49): 31348 f(f(x,x),f(f(y,f(x,x)),f(f(x,f(y,f(y,f(x,z)))),f(f(u,f(x,x)),f(f(x,f(u,f(u,f(x,v)))),f(c_0,f(f(x,w),f(x,f(x,v6))))))))) = x. [back_rewrite(20141),rewrite(29777(2),29777(4),29777(6),29777(8),29777(10),29777(12),29777(17),29777(24))]. given #1667 (F,wt=23): 70701 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(42772(a,1),67718(a,1,2,2,2,2,2,1,2)),rewrite(29777(2),29777(14),29777(19),57941(19),42772(17),29777(9),13353(9),29777(9))]. given #1668 (F,wt=23): 70923 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(68055(a,1),10878(a,1,2,2)),rewrite(29777(3),29777(10),29777(16),14553(16),29777(13),23245(13),29777(4),29777(10),29777(12)),flip(a)]. given #1669 (F,wt=23): 70927 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(29777(a,1),68055(a,1,1,2,2,2)),rewrite(29777(4),29777(9))]. given #1670 (F,wt=23): 70943 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(53124(a,2),68055(a,1,1,2)),rewrite(29777(3),29777(4),29777(11))]. given #1671 (T,wt=19): 53324 f(x,f(c_0,f(y,f(x,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(10878(a,1),53124(a,2,2,2)),rewrite(29777(4))]. Low Water (keep): wt=29, part=0.50, limit=29 given #1672 (T,wt=17): 74493 f(f(x,x),f(y,f(c_0,f(z,f(y,f(x,y)))))) = x. [para(53324(a,2),37998(a,1,2)),rewrite(29777(3))]. given #1673 (T,wt=19): 53325 f(f(x,f(x,f(c_0,f(y,z)))),f(y,f(c_0,f(x,z)))) = x. [para(53124(a,1),19228(a,1,1)),rewrite(29777(6),29777(10))]. given #1674 (T,wt=19): 53326 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(c_0,f(z,y)))) = x. [para(53124(a,1),19228(a,1,2,2)),rewrite(29777(10))]. given #1675 (A,wt=37): 31350 f(f(x,y),f(y,f(y,f(f(z,f(y,y)),f(f(y,f(z,f(z,f(x,y)))),f(c_0,f(f(y,u),f(y,f(y,v))))))))) = y. [back_rewrite(20132),rewrite(29777(3),29777(4),29777(5),29777(7),29777(12))]. given #1676 (F,wt=23): 70973 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(68057(a,1),53124(a,2)),rewrite(29777(10))]. given #1677 (F,wt=23): 70983 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(20(a,1),68058(a,1,2,2,2,1)),rewrite(20(3),29777(5),29777(10))]. given #1678 (F,wt=23): 71105 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(20(a,1),68291(a,1,1,2,2)),rewrite(29777(3),20(11),29777(9),13353(9))]. given #1679 (F,wt=23): 71111 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(68291(a,1),53124(a,1)),rewrite(29777(9),29777(10),29777(11),57941(13)),flip(a)]. given #1680 (T,wt=19): 53327 f(f(x,f(x,f(c_0,f(y,z)))),f(y,f(c_0,f(z,x)))) = x. [para(53124(a,2),19228(a,1,1)),rewrite(29777(10))]. given #1681 (T,wt=19): 53328 f(f(x,f(y,f(c_0,f(x,z)))),f(x,f(c_0,f(y,z)))) = x. [para(53124(a,2),19228(a,1,2,2)),rewrite(29777(6),29777(10))]. given #1682 (T,wt=19): 53330 f(f(x,y),f(c_0,f(z,f(x,f(x,y))))) = f(z,f(x,x)). [para(19228(a,1),53124(a,2,2,2)),rewrite(29777(5),29777(9),13353(9))]. given #1683 (T,wt=19): 53335 f(f(x,y),f(c_0,f(z,f(y,f(x,y))))) = f(z,f(y,y)). [para(19304(a,1),53124(a,2,2,2)),rewrite(29777(5),29777(9),13353(9))]. given #1684 (A,wt=45): 31362 f(f(x,f(y,y)),f(c_0,f(f(f(y,y),f(x,f(y,y))),f(f(y,z),f(f(u,f(y,y)),f(f(y,y),f(z,f(z,f(v,f(y,y)))))))))) = f(y,y). [back_rewrite(19991),rewrite(29777(6),29777(11),29777(14),29777(16),29777(17))]. given #1685 (F,wt=23): 71215 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(20(a,1),68307(a,1,2,2,2,2,2,1)),rewrite(20(3),29777(5),29777(8))]. given #1686 (F,wt=23): 71217 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(29777(a,1),68307(a,1,1)),rewrite(29777(5))]. given #1687 (F,wt=23): 71227 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(68307(a,1),53124(a,2)),rewrite(29777(10))]. given #1688 (F,wt=23): 71253 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(68331(a,1),31674(a,1,2,2,2)),rewrite(29777(12),14553(12),29777(10))]. given #1689 (T,wt=19): 53336 f(x,f(c_0,f(f(y,f(c_0,f(x,z))),f(c_0,f(z,y))))) = c_0. [para(53124(a,1),19696(a,1,2,2,2)),rewrite(29777(9))]. given #1690 (T,wt=19): 53337 f(x,f(c_0,f(f(y,f(c_0,f(x,z))),f(c_0,f(y,z))))) = c_0. [para(53124(a,2),19696(a,1,2,2,2)),rewrite(29777(6),29777(9))]. given #1691 (T,wt=19): 53359 f(f(x,f(y,x)),f(c_0,f(z,x))) = f(z,f(c_0,f(y,x))). [para(31452(a,1),53124(a,1,2,2)),flip(a)]. given #1692 (T,wt=19): 53565 f(x,f(y,f(c_0,f(x,z)))) = f(x,f(x,f(c_0,f(z,y)))). [para(53124(a,1),31692(a,2,2)),rewrite(14553(12),43428(14),29777(10),37408(11)),flip(a)]. given #1693 (A,wt=45): 31391 f(f(c_0,f(x,y)),f(f(z,f(c_0,f(x,y))),f(f(f(x,y),f(z,f(z,f(u,f(x,y))))),f(c_0,f(f(y,f(x,y)),f(v,f(x,y))))))) = f(x,y). [back_rewrite(19287),rewrite(29777(4),29777(6),29777(7),29777(10),29777(15),29777(23))]. given #1694 (F,wt=23): 71265 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(68331(a,1),65255(a,1,1,2,2)),rewrite(29777(7),14553(7),13353(13,R),29777(10),13353(21,R),29777(18),38259(19))]. given #1695 (F,wt=19): 75200 f(f(x,y),f(x,f(z,f(x,f(x,f(z,f(x,y))))))) = x # label(false). [para(71265(a,1),53124(a,2)),rewrite(64794(9),14553(11))]. given #1696 (F,wt=19): 75205 f(f(x,y),f(y,f(z,f(y,f(y,f(z,f(x,y))))))) = y # label(false). [para(29777(a,1),75200(a,1,1)),rewrite(29777(2))]. given #1697 (F,wt=23): 71907 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(68847(a,1),29777(a,1)),rewrite(29777(5),29777(13)),flip(a)]. given #1698 (T,wt=19): 53678 f(f(x,f(y,y)),f(c_0,f(x,f(y,f(x,y))))) = f(x,y). [para(53124(a,1),34147(a,1,2,2)),rewrite(29777(2),29777(6),29777(7),12616(14),29777(11),53335(12),29777(8),29777(9))]. given #1699 (T,wt=19): 53719 f(x,f(c_0,f(y,f(z,f(c_0,f(u,f(x,x))))))) = f(x,y). [para(37702(a,1),53124(a,2,2,2)),rewrite(29777(7),13333(12),29777(10))]. given #1700 (T,wt=19): 53759 f(f(c_0,f(x,f(y,z))),f(x,f(y,f(c_0,f(u,z))))) = c_0. [para(53124(a,1),38453(a,1,1,2)),rewrite(29777(8),29777(11),13353(13,R),29777(11),14553(11),29777(10))]. given #1701 (T,wt=19): 53791 f(f(x,f(x,f(y,z))),f(x,f(y,f(c_0,f(u,z))))) = x. [para(53124(a,1),38549(a,1,1,2)),rewrite(29777(7),29777(10),13353(12,R),29777(10),14553(10),29777(9))]. given #1702 (A,wt=45): 31394 f(f(x,f(y,z)),f(f(u,f(c_0,f(y,z))),f(f(f(y,z),f(u,f(u,f(x,f(y,z))))),f(c_0,f(f(z,f(y,z)),f(v,f(y,z))))))) = f(y,z). [back_rewrite(19234),rewrite(29777(6),29777(8),29777(9),29777(12),29777(17))]. given #1703 (F,wt=23): 71920 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(53124(a,1),68847(a,1,2,2)),rewrite(29777(8),29777(10))]. given #1704 (F,wt=23): 71922 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(53124(a,2),68847(a,1,2,2)),rewrite(29777(8))]. given #1705 (F,wt=23): 71939 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(68850(a,1),37818(a,1,1,2)),rewrite(29777(3),29777(9),14553(9),29777(8),29777(18),29777(25),51255(31),66111(35),13353(22,R),29777(15),25070(16),29777(6)),flip(a)]. given #1706 (F,wt=23): 71941 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(68850(a,1),53124(a,2)),rewrite(29777(6),29777(9),29777(10))]. given #1707 (T,wt=19): 53819 f(f(x,f(y,f(z,u))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(53124(a,1),38644(a,1,1,2)),rewrite(29777(7),29777(10),13353(12,R),29777(10),14553(10),29777(9))]. given #1708 (T,wt=19): 53822 f(f(x,f(y,f(z,u))),f(c_0,f(u,f(c_0,f(x,z))))) = c_0. [para(53124(a,1),39081(a,1,2,2)),rewrite(13353(7,R),29777(5),14553(5))]. given #1709 (T,wt=19): 53823 f(f(x,f(y,f(z,u))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(53124(a,2),39081(a,1,2,2)),rewrite(13353(7,R),29777(5),14553(5),29777(6))]. given #1710 (T,wt=19): 53943 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(u,f(c_0,f(z,y)))). [para(53124(a,1),42591(a,1,2,2,2)),rewrite(29777(5),49323(10))]. given #1711 (A,wt=29): 31424 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(31037),rewrite(29777(8),29777(10),31279(23),29777(13))]. given #1712 (F,wt=23): 71945 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(68851(a,1),29777(a,1)),rewrite(29777(6),29777(13)),flip(a)]. given #1713 (F,wt=23): 71950 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(53124(a,1),68851(a,1,2,2)),rewrite(29777(8),29777(10))]. given #1714 (F,wt=23): 72139 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(68855(a,1),29777(a,1)),rewrite(29777(9),29777(12),29777(13)),flip(a)]. given #1715 (F,wt=23): 72141 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(68855(a,1),53124(a,2)),rewrite(29777(8),29777(9),29777(10),57941(12))]. given #1716 (T,wt=19): 53945 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(u,f(c_0,f(y,z)))). [para(53124(a,2),42591(a,1,2,2,2)),rewrite(48234(10))]. given #1717 (T,wt=19): 53948 f(x,f(y,f(c_0,f(z,u)))) = f(x,f(z,f(c_0,f(y,u)))). [para(53124(a,1),42592(a,1,2,2,2)),rewrite(42903(7),29777(7))]. given #1718 (T,wt=19): 54092 f(x,f(c_0,f(f(y,z),f(x,f(y,f(c_0,f(u,z))))))) = c_0. [para(53124(a,1),45496(a,1,2,2,1,2)),rewrite(29777(8),29777(11),13353(13,R),29777(11),14553(11),29777(8))]. given #1719 (T,wt=19): 54342 f(f(x,y),f(c_0,f(z,x))) = f(z,f(c_0,f(x,f(x,y)))). [para(45008(a,1),53124(a,1,2,2)),rewrite(29777(8),29777(12),44242(16)),flip(a)]. given #1720 (A,wt=21): 31433 f(f(c_0,f(x,f(y,z))),f(f(y,z),f(u,f(x,f(y,z))))) = c_0. [para(16159(a,1),29986(a,1,2,2)),rewrite(13353(5,R),29777(4),29777(9))]. given #1721 (F,wt=23): 72144 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(68881(a,1),29777(a,1)),rewrite(29777(8),29777(12)),flip(a)]. given #1722 (F,wt=23): 72562 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(20(a,1),69075(a,1,2,2,2,2,2,2)),rewrite(20(3),29777(7),29777(8))]. given #1723 (F,wt=23): 72573 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(69087(a,1),37818(a,1,1,2)),rewrite(29777(5),29777(9),14553(9),29777(10),29777(14),29777(15),29777(20),29777(27),51255(31),66111(35),13353(22,R),29777(15),25070(16),29777(2),29777(8)),flip(a)]. given #1724 (F,wt=23): 72589 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(20(a,1),69099(a,1,2,2,1,2)),rewrite(20(3),29777(2))]. given #1725 (T,wt=19): 54973 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(u,f(x,z))))) = c_0. [para(53321(a,1),33173(a,1,2,2,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(5))]. given #1726 (T,wt=19): 54986 f(f(x,f(y,f(z,f(u,u)))),f(c_0,f(y,u))) = f(y,u). [para(53321(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(6),53321(14),29777(9))]. given #1727 (T,wt=19): 54991 f(f(x,f(y,z)),f(c_0,f(x,f(z,f(u,f(y,y)))))) = c_0. [para(53321(a,1),38453(a,1,1,2)),rewrite(13353(14,R),29777(10),14553(10))]. given #1728 (T,wt=19): 54998 f(f(x,f(y,z)),f(x,f(x,f(z,f(u,f(y,y)))))) = x. [para(53321(a,1),38549(a,1,1,2)),rewrite(13353(13,R),29777(9),14553(9))]. given #1729 (A,wt=45): 31471 f(f(x,f(y,z)),f(f(y,z),f(c_0,f(f(y,f(y,f(x,f(y,z)))),f(f(x,f(y,z)),f(y,f(y,z))))))) = f(f(x,f(y,z)),f(y,f(y,z))). [para(19230(a,1),30042(a,1,2,1)),rewrite(29777(9),29777(12),29777(14),29777(22))]. given #1730 (F,wt=23): 72690 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(32273(a,1),69234(a,1,1,2,2)),rewrite(29777(4),13353(4),13333(4),29777(3),29777(5),13353(5),29777(5),29777(9),13353(9),13333(9),29777(9),13353(9),29777(11),13353(11),13333(11),29777(10),20(10),29777(8))]. given #1731 (F,wt=23): 73151 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(70081(a,1),37818(a,1,1,2)),rewrite(29777(2),29777(9),14553(9),29777(7),29777(17),29777(24),51255(31),66111(35),13353(22,R),29777(15),25070(16),29777(5)),flip(a)]. given #1732 (F,wt=23): 73356 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(70105(a,1),53124(a,2)),rewrite(29777(10))]. given #1733 (F,wt=23): 73360 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(29777(a,1),70309(a,1,1,2)),rewrite(29777(6),29777(9))]. given #1734 (T,wt=17): 76358 f(f(x,y),f(y,f(c_0,f(z,x)))) = f(c_0,f(x,y)). [para(53124(a,1),31471(a,2,1)),rewrite(14553(16),14553(21),29777(18),25061(18),29777(16),51255(16),57101(18),14553(16),51589(13),14553(12),29777(9)),flip(a)]. given #1735 (T,wt=19): 55005 f(f(x,f(x,y)),f(x,f(z,f(y,f(u,f(x,x)))))) = x. [para(53321(a,1),38644(a,1,1,2)),rewrite(13353(13,R),29777(9),14553(9))]. given #1736 (T,wt=19): 55007 f(f(x,f(y,f(z,f(u,f(x,x))))),f(c_0,f(x,z))) = c_0. [para(53321(a,1),39081(a,1,2,2)),rewrite(13353(11,R),29777(7),14553(7))]. given #1737 (T,wt=19): 55050 f(x,f(c_0,f(f(x,f(y,z)),f(z,f(u,f(y,y)))))) = c_0. [para(53321(a,1),45496(a,1,2,2,1,2)),rewrite(13353(14,R),29777(10),14553(10))]. given #1738 (A,wt=23): 31687 f(f(x,y),f(f(z,f(x,y)),f(u,f(u,f(x,y))))) = f(z,f(x,y)). [para(16159(a,1),31674(a,1,1)),rewrite(16159(9))]. given #1739 (F,wt=23): 73535 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(20(a,1),70332(a,1,2,2,1,2,2)),rewrite(29777(4),41286(15))]. given #1740 (F,wt=23): 73536 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(20(a,1),70332(a,1,2,2,2,2,2,2)),rewrite(29777(5),29777(10))]. given #1741 (F,wt=23): 73545 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(70332(a,1),37818(a,1,1,2)),rewrite(29777(7),14553(7),29777(4),29777(18),51255(27),66111(31),13353(22,R),29777(14),25070(15),29777(3)),flip(a)]. given #1742 (F,wt=23): 73560 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(70369(a,1),29777(a,1)),rewrite(29777(3),29777(13)),flip(a)]. given #1743 (T,wt=19): 55087 f(x,f(y,f(f(y,z),f(y,f(x,x))))) = f(x,f(y,z)). [para(32551(a,1),53321(a,1,2))]. given #1744 (T,wt=19): 55107 f(x,f(c_0,f(y,f(x,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(31452(a,1),53322(a,1,2,2)),flip(a)]. given #1745 (T,wt=19): 55623 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(u,x)))))))) = c_0. [para(33023(a,1),53338(a,1,2,2,2)),rewrite(29777(4),13353(13),13333(13),29777(11))]. given #1746 (T,wt=19): 55624 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(z,f(u,x))))))) = c_0. [para(33173(a,1),53338(a,1,2,2,2)),rewrite(29777(12),13333(12),29777(10),13353(10),29777(10))]. given #1747 (A,wt=23): 31721 f(f(x,y),f(f(z,f(x,y)),f(u,f(c_0,f(x,y))))) = f(z,f(x,y)). [para(25070(a,1),31684(a,1,2,2,2)),rewrite(29777(3),29777(11),14553(11),29777(11))]. given #1748 (F,wt=23): 73730 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(70389(a,1),37818(a,1,1,2)),rewrite(29777(2),29777(8),14553(8),29777(8),29777(15),29777(23),51255(29),66111(33),13353(23,R),29777(15),25070(16),29777(6)),flip(a)]. given #1749 (F,wt=23): 73819 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(20(a,1),70613(a,1,2,2,2,2,1,2)),rewrite(29777(5),29777(7))]. given #1750 (F,wt=23): 74382 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(53323(a,2),69234(a,1,1,2)),rewrite(29777(6),65486(8))]. given #1751 (F,wt=23): 74616 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(53324(a,2),64181(a,1)),rewrite(29777(9))]. given #1752 (T,wt=19): 55639 f(f(x,f(y,f(z,z))),f(c_0,f(u,f(c_0,f(z,x))))) = c_0. [para(38544(a,1),53338(a,1,2,2,2)),rewrite(29777(12),14553(13),29777(10))]. given #1753 (T,wt=19): 55640 f(f(x,y),f(c_0,f(z,f(c_0,f(x,f(c_0,f(u,y))))))) = c_0. [para(38653(a,1),53338(a,1,2,2,2)),rewrite(29777(13),14553(14),29777(11))]. given #1754 (T,wt=19): 55657 f(x,f(c_0,f(y,f(c_0,f(f(z,x),f(c_0,f(z,u))))))) = c_0. [para(45590(a,1),53338(a,1,2,2,2)),rewrite(13353(13),13333(13),29777(11))]. given #1755 (T,wt=19): 55777 f(x,f(f(x,y),f(z,f(z,f(u,f(x,z)))))) = f(x,y). [para(53362(a,1),31684(a,1,2,2,2)),rewrite(29777(9),14553(9))]. given #1756 (A,wt=27): 31722 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(25073(a,1),31684(a,1,2,2,2)),rewrite(29777(7),29777(13),14553(13),29777(10),29777(15))]. given #1757 (F,wt=23): 74621 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(53324(a,2),64457(a,1)),rewrite(29777(9))]. given #1758 (F,wt=23): 74646 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(53324(a,2),67736(a,1,2,2)),rewrite(64794(10),14553(12))]. given #1759 (F,wt=23): 74947 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(20(a,1),71253(a,1,2,2,2,2)),rewrite(29777(3),29777(8),29777(10))]. given #1760 (F,wt=23): 75051 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(53359(a,2),65572(a,1)),rewrite(39028(12))]. given #1761 (T,wt=19): 55791 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(x,z)))))))) = c_0. [para(53362(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1762 (T,wt=19): 55811 f(f(x,x),f(c_0,f(f(y,z),f(f(x,u),f(y,z))))) = c_0. [para(37408(a,1),53362(a,1,2,2,2,2)),rewrite(29777(6))]. given #1763 (T,wt=19): 55872 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(z,x)))))))) = c_0. [para(53362(a,1),53338(a,1,2,2,2)),rewrite(29777(3),13353(12),13333(12),29777(10))]. given #1764 (T,wt=19): 55876 f(x,f(f(x,y),f(z,f(x,f(u,f(x,z)))))) = f(x,y). [para(53364(a,1),31684(a,1,2,2,2)),rewrite(29777(9),14553(9))]. given #1765 (A,wt=31): 31736 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(29054(a,1),31684(a,1,2,2,2)),rewrite(29777(7),29777(12),14553(12),29777(9),29777(14))]. given #1766 (F,wt=23): 75193 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(20(a,1),71265(a,1,2,2,2,2)),rewrite(29777(3),29777(9),29777(11))]. given #1767 (F,wt=23): 75199 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(71265(a,1),53124(a,1)),rewrite(29777(9)),flip(a)]. given #1768 (F,wt=23): 75203 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(20(a,1),75200(a,1,1)),rewrite(29777(1),29777(2),29777(3),29777(4),29777(6),2285(6),29777(4),29777(10))]. given #1769 (F,wt=23): 75204 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(20(a,1),75200(a,1,2,2,2,2,2,2)),rewrite(20(3),29777(4))]. given #1770 (T,wt=19): 55889 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(x,z)))))))) = c_0. [para(53364(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(10),14553(10))]. given #1771 (T,wt=19): 55962 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(z,x)))))))) = c_0. [para(53364(a,1),53338(a,1,2,2,2)),rewrite(29777(3),13353(12),13333(12),29777(10))]. given #1772 (T,wt=19): 56245 f(f(x,y),f(y,f(x,f(c_0,f(z,f(c_0,f(y,u))))))) = y. [para(41113(a,1),53418(a,1,2,2,2,2))]. given #1773 (T,wt=19): 56251 f(f(x,y),f(y,f(z,f(y,f(x,f(c_0,f(y,u))))))) = y. [para(53418(a,1),42342(a,1,2,1)),rewrite(29777(7),53418(16))]. given #1774 (A,wt=27): 31745 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(31674(a,1),31684(a,1,2,2,2)),rewrite(29777(3),29777(8),29777(12))]. given #1775 (F,wt=23): 75206 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(75200(a,1),29789(a,1,2,2,2)),rewrite(29777(9))]. given #1776 (F,wt=23): 75255 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(75205(a,1),37595(a,1,2,2,2,2,2)),rewrite(20(3),10878(8),20(10),29777(9),31452(10))]. given #1777 (F,wt=23): 75435 f(f(c_0,f(x,f(y,y))),f(f(y,f(x,y)),f(z,f(z,f(x,y))))) = c_0 # label(false). [para(54698(a,1),53759(a,1,2)),rewrite(29777(6),29777(9),29777(11),29777(15),14553(15))]. given #1778 (F,wt=23): 75491 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(71920(a,1),29777(a,1)),rewrite(29777(7),29777(13)),flip(a)]. given #1779 (T,wt=19): 56260 f(f(x,f(y,f(x,z))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(53418(a,1),44410(a,1,2,1)),rewrite(29777(6),29777(7),29777(9),29777(10),53423(16))]. given #1780 (T,wt=19): 56376 f(f(x,y),f(x,f(y,f(c_0,f(z,f(c_0,f(x,u))))))) = x. [para(41113(a,1),53423(a,1,2,2,2,2))]. given #1781 (T,wt=19): 56377 f(f(x,y),f(x,f(z,f(x,f(y,f(c_0,f(x,u))))))) = x. [para(53423(a,1),42342(a,1,2,1)),rewrite(29777(7),53423(16))]. given #1782 (T,wt=19): 56409 f(x,f(f(x,y),f(z,f(c_0,f(u,f(x,z)))))) = f(x,y). [para(53533(a,1),31684(a,1,2,2,2)),rewrite(29777(10),14553(10))]. given #1783 (A,wt=23): 31746 f(x,f(f(x,y),f(f(x,z),f(f(x,z),f(u,f(x,u)))))) = f(x,y). [para(31684(a,1),31684(a,1,2,2,2)),rewrite(29777(7))]. given #1784 (F,wt=23): 75508 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(71941(a,1),37818(a,1,1,2)),rewrite(29777(2),29777(9),14553(9),29777(8),29777(16),29777(24),51255(31),66111(35),13353(24,R),29777(16),25070(17),29777(5)),flip(a)]. given #1785 (F,wt=23): 75774 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(71950(a,1),37818(a,1,1,2)),rewrite(29777(2),29777(6),29777(12),29777(17),29777(25),32189(33),29777(8)),flip(a)]. given #1786 (F,wt=23): 76364 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(20(a,1),73356(a,1,2,2,2,2,2,2,2)),rewrite(29777(9),29777(11),40659(15))]. given #1787 (F,wt=23): 76546 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(68308(a,1),31687(a,1,2,1)),rewrite(29777(8),29777(19),29789(25),29777(2),29777(10)),flip(a)]. given #1788 (T,wt=19): 56418 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,z)))))))) = c_0. [para(53533(a,1),33023(a,1,2,2,2,2,2)),rewrite(29777(11),14553(11))]. given #1789 (T,wt=19): 56476 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(z,x)))))))) = c_0. [para(53533(a,1),53338(a,1,2,2,2)),rewrite(29777(4),13353(13),13333(13),29777(11))]. given #1790 (T,wt=19): 57086 f(f(x,f(y,f(c_0,f(z,u)))),f(c_0,f(x,f(y,u)))) = c_0. [para(53319(a,1),40111(a,1,2,2,2,2)),rewrite(29777(5),14553(11))]. given #1791 (T,wt=19): 57498 f(f(x,f(y,z)),f(c_0,f(u,f(u,f(x,f(y,y)))))) = c_0. [para(53320(a,1),33173(a,1,2,2,2,2)),rewrite(13353(9,R),29777(6),14553(6))]. given #1792 (A,wt=27): 31852 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(31688(a,1),31684(a,1,2,2,2)),rewrite(29777(3),29777(8),29777(12))]. given #1793 (F,wt=23): 76559 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(73536(a,1),29777(a,1)),rewrite(29777(7),29777(13)),flip(a)]. given #1794 (F,wt=23): 76590 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(55087(a,1),31674(a,1,2,2,2)),rewrite(29777(10))]. given #1795 (F,wt=23): 76636 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(55087(a,1),67368(a,1,2,2,2,2,2)),rewrite(13353(6,R),29777(6),13333(6),29777(4),29777(5),29777(13),70860(15))]. given #1796 (F,wt=23): 76646 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(68290(a,1),55087(a,2)),rewrite(29777(5),29777(8),13353(18,R),29777(17),14553(18),29777(15),42592(17))]. given #1797 (T,wt=19): 57589 f(f(x,f(y,f(z,z))),f(c_0,f(x,f(y,f(z,u))))) = c_0. [para(53320(a,1),38453(a,1,1,2)),rewrite(13353(13,R),29777(10),14553(10))]. given #1798 (T,wt=19): 57600 f(f(x,f(y,f(z,z))),f(x,f(x,f(y,f(z,u))))) = x. [para(53320(a,1),38549(a,1,1,2)),rewrite(13353(12,R),29777(9),14553(9))]. given #1799 (T,wt=19): 57723 f(x,f(c_0,f(f(x,f(y,f(z,z))),f(y,f(z,u))))) = c_0. [para(53320(a,1),45496(a,1,2,2,1,2)),rewrite(13353(13,R),29777(10),14553(10))]. given #1800 (T,wt=19): 58032 f(f(x,f(y,f(x,z))),f(c_0,f(x,f(c_0,f(z,u))))) = c_0. [back_rewrite(55792),rewrite(57941(10))]. given #1801 (A,wt=27): 31861 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(16159(a,1),31686(a,1,1)),rewrite(16159(12))]. given #1802 (F,wt=23): 76768 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(20(a,1),73819(a,1,2,2,2,2,2,1,2)),rewrite(29777(6),29777(8),40659(15))]. given #1803 (F,wt=23): 76772 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(20(a,1),74616(a,1,2,2,2,2,2,2,2))]. given #1804 (F,wt=23): 76776 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(32551(a,1),74616(a,1,2))]. given #1805 (F,wt=19): 77651 f(f(x,f(x,y)),f(x,f(z,f(z,f(x,f(y,y)))))) = x # label(false). [para(76776(a,1),31688(a,1,2,2,2)),rewrite(77649(9),13353(11),29777(11),28952(11),29777(3),13333(3)),flip(a)]. given #1806 (T,wt=19): 58385 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(x,x)))))))) = c_0. [back_rewrite(39469),rewrite(57941(10))]. Low Water (displace): id=74780, wt=29 given #1807 (T,wt=19): 58386 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,y)))))))) = c_0. [back_rewrite(39466),rewrite(57941(10))]. given #1808 (T,wt=19): 58390 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(y,f(x,u))))))) = c_0. [back_rewrite(39101),rewrite(29777(6),57941(10))]. given #1809 (T,wt=19): 58420 f(x,f(c_0,f(y,f(c_0,f(z,f(z,f(u,f(y,x)))))))) = c_0. [back_rewrite(33177),rewrite(57941(10))]. given #1810 (A,wt=27): 31870 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(16159(a,1),31689(a,1,1,2,2,2)),rewrite(16159(15),29777(11),29777(13))]. given #1811 (F,wt=19): 77658 f(f(x,f(x,f(y,y))),f(x,f(z,f(z,f(x,y))))) = x # label(false). [para(20(a,1),77651(a,1,2,2,2,2,2))]. Low Water (keep): wt=27, part=0.50, limit=27 given #1812 (F,wt=23): 76902 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(74646(a,1),29777(a,1)),rewrite(29777(3),29777(12)),flip(a)]. given #1813 (F,wt=23): 76906 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(74646(a,1),44240(a,1,2,2,1)),rewrite(29777(2),29777(17),14553(26),29777(23),14553(26),65368(23),13333(11))]. given #1814 (F,wt=23): 76909 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(74646(a,1),53124(a,2)),rewrite(29777(2),29777(9))]. given #1815 (T,wt=19): 58423 f(x,f(c_0,f(y,f(c_0,f(z,f(x,f(u,f(y,x)))))))) = c_0. [back_rewrite(33147),rewrite(57941(10))]. given #1816 (T,wt=19): 58424 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(u,f(y,x)))))))) = c_0. [back_rewrite(33145),rewrite(57941(10))]. given #1817 (T,wt=19): 58433 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(y,x)))))))) = c_0. [back_rewrite(31914),rewrite(57941(11))]. given #1818 (T,wt=19): 59277 f(f(x,x),f(c_0,f(y,f(c_0,f(z,f(y,f(u,x))))))) = c_0. [para(38453(a,1),57073(a,1,1)),rewrite(38453(8),57941(12),14553(14))]. given #1819 (A,wt=39): 31880 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(31689(a,1),31684(a,1,2,2,2)),rewrite(29777(9),29777(15),14553(15),29777(12),29777(18))]. given #1820 (F,wt=23): 76917 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(74947(a,1),29777(a,1)),rewrite(29777(8),29777(10)),flip(a)]. given #1821 (F,wt=23): 76929 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(74947(a,1),44240(a,1,2,2,1)),rewrite(29777(8),29777(12),13353(14,R),29777(11),32793(11),29777(11),29777(15),13353(17,R),29777(14),32793(14),70538(19),29777(10),38683(12),29777(11))]. given #1822 (F,wt=23): 77001 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(67443(a,1),55811(a,1,2,2,2)),rewrite(29777(14),14553(14))]. given #1823 (F,wt=23): 77005 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(68821(a,1),55811(a,1,2,2,2)),rewrite(29777(14),14553(14))]. given #1824 (T,wt=19): 59284 f(f(f(x,y),f(y,z)),f(c_0,f(f(y,y),f(u,v)))) = c_0. [para(29986(a,1),58435(a,1,2,2,2,2,1)),rewrite(14553(10))]. given #1825 (T,wt=19): 59345 f(x,f(c_0,f(y,f(c_0,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(41113(a,1),58435(a,1,2,2,2,2)),rewrite(29777(4),29777(5))]. given #1826 (T,wt=19): 59379 f(x,f(c_0,f(y,f(f(z,f(x,y)),f(u,f(x,y)))))) = c_0. [para(32551(a,2),58435(a,1,2,2,2,2)),rewrite(29777(4),29777(5),29777(6),29777(7),14553(10))]. given #1827 (T,wt=19): 59635 f(f(x,x),f(c_0,f(y,z))) = f(y,f(c_0,f(z,f(x,x)))). [para(53124(a,1),32793(a,1,2,2)),rewrite(29777(5),13353(5),29777(5),14553(9),29777(7),13353(7),29777(8)),flip(a)]. given #1828 (A,wt=31): 31919 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(31801(a,1),31684(a,1,2,2,2)),rewrite(29777(9),29777(14),14553(14),29777(11),29777(17))]. given #1829 (F,wt=23): 77021 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(69633(a,1),55811(a,1,2,2,2)),rewrite(29777(14),14553(14))]. given #1830 (F,wt=23): 77022 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(69634(a,1),55811(a,1,2,2,2)),rewrite(29777(14),14553(14))]. given #1831 (F,wt=23): 77023 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(69885(a,1),55811(a,1,2,2,2)),rewrite(29777(14),14553(14))]. given #1832 (F,wt=23): 77031 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(71217(a,1),55811(a,1,2,2,2)),rewrite(29777(14),14553(14))]. given #1833 (T,wt=19): 59644 f(f(x,x),f(f(y,x),f(z,f(f(y,x),f(x,u))))) = c_0. [para(32176(a,1),33088(a,1,2,2)),rewrite(29777(8),13353(8),29777(8))]. given #1834 (T,wt=19): 59670 f(f(x,f(y,f(x,z))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(53124(a,1),33088(a,1,2,2)),rewrite(29777(6))]. given #1835 (T,wt=19): 60059 f(f(x,y),f(y,f(z,f(c_0,f(u,f(u,f(x,y))))))) = y. [para(20(a,1),33094(a,1,2,1)),rewrite(29777(4),20(12))]. given #1836 (T,wt=19): 60060 f(f(x,y),f(x,f(z,f(c_0,f(u,f(u,f(x,y))))))) = x. [para(19228(a,1),33094(a,1,2,1)),rewrite(29777(4),19228(13))]. given #1837 (A,wt=23): 31955 f(f(x,x),f(f(y,f(x,x)),f(z,f(c_0,f(x,u))))) = f(y,f(x,x)). [para(31802(a,1),31684(a,1,2,2,2)),rewrite(29777(3),29777(6),29777(11),14553(11),29777(11))]. given #1838 (F,wt=23): 77032 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(75205(a,1),55811(a,1,2,2,2)),rewrite(29777(9))]. given #1839 (F,wt=23): 77092 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(29777(a,1),75193(a,1,1,2,1)),rewrite(29777(8),29777(11))]. given #1840 (F,wt=23): 77113 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(20(a,1),75199(a,1,1,2)),rewrite(29777(6))]. given #1841 (F,wt=23): 77119 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(75199(a,1),42591(a,1,2,2)),rewrite(29777(9),75199(21))]. given #1842 (T,wt=19): 60823 f(f(x,x),f(c_0,f(f(y,f(x,z)),f(c_0,f(y,u))))) = c_0. [para(53124(a,1),33406(a,1,2,2)),rewrite(29777(6))]. given #1843 (T,wt=19): 60833 f(f(x,y),f(y,f(z,f(z,f(u,f(c_0,f(x,y))))))) = y. [para(20(a,1),33454(a,1,2,1)),rewrite(13353(4,R),29777(4),20(12))]. given #1844 (T,wt=19): 60834 f(f(x,y),f(x,f(z,f(z,f(u,f(c_0,f(x,y))))))) = x. [para(19228(a,1),33454(a,1,2,1)),rewrite(13353(4,R),29777(4),19228(13))]. given #1845 (T,wt=19): 60988 f(f(x,y),f(y,f(x,x))) = f(c_0,f(y,f(x,f(x,y)))). [para(34147(a,1),54201(a,1,2,1,2)),rewrite(53330(7),13353(8,R),29777(8),53330(16),57941(13),14429(11),13330(9),29777(7),14553(7),29777(4))]. given #1846 (A,wt=51): 31978 f(f(x,f(y,f(y,z))),f(f(y,f(y,z)),f(c_0,f(f(y,f(x,f(y,f(y,z)))),f(f(y,z),f(f(y,z),f(x,f(y,f(y,z))))))))) = f(y,f(x,f(y,f(y,z)))). [para(23970(a,1),30042(a,1,2,1)),rewrite(29777(1),29777(4),29777(7),29777(11),29777(12),29777(15),29777(16),29777(22))]. given #1847 (F,wt=23): 77127 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(29777(a,1),75203(a,1,2)),rewrite(29777(4),29777(8))]. given #1848 (F,wt=23): 77637 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(76768(a,1),29777(a,1)),rewrite(29777(8),29777(12)),flip(a)]. given #1849 (F,wt=23): 77810 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(31685(a,1),76902(a,1,2,2,2,2,2,2,2,2,2)),rewrite(29777(15),55674(15))]. given #1850 (F,wt=23): 77813 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(76909(a,1),29777(a,1)),rewrite(29777(3),29777(12)),flip(a)]. given #1851 (T,wt=19): 61174 f(x,f(c_0,f(f(y,f(z,f(x,x))),f(c_0,f(y,u))))) = c_0. [para(53124(a,1),33461(a,1,2,2)),rewrite(29777(6))]. given #1852 (T,wt=19): 61958 f(f(x,y),f(x,f(z,f(f(x,y),f(x,f(x,z)))))) = x. [para(35867(a,1),30897(a,1,2,2,1)),rewrite(29777(8),31719(9),53262(8))]. given #1853 (T,wt=19): 62116 f(x,f(f(y,f(x,z)),f(x,f(x,z)))) = f(x,f(x,z)). [para(37215(a,1),31688(a,1,2,2)),rewrite(29777(9),19228(9),29777(6))]. given #1854 (T,wt=19): 62164 f(f(c_0,f(x,f(y,z))),f(f(y,z),f(u,f(x,x)))) = c_0. [para(20(a,1),37514(a,1,1,2,2)),rewrite(29777(3),29777(7))]. given #1855 (A,wt=35): 32017 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(30033(a,1),31720(a,1,2,2,2,2,2)),rewrite(29777(1),29777(4),29777(6),29777(7),29777(9),29777(10),29777(13),29777(14))]. given #1856 (F,wt=23): 77849 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(29777(a,1),76929(a,1,1,2,1)),rewrite(29777(6))]. given #1857 (F,wt=23): 77850 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(20(a,1),77001(a,1,1)),rewrite(29777(6))]. given #1858 (F,wt=23): 77851 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(77001(a,1),29777(a,1)),rewrite(29777(6),29777(13)),flip(a)]. given #1859 (F,wt=23): 77852 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(77001(a,1),53124(a,1)),rewrite(29777(3),29777(11),57941(13)),flip(a)]. given #1860 (T,wt=17): 78256 f(f(x,y),f(y,f(x,f(f(z,y),f(y,u))))) = y. [para(77849(a,1),39572(a,1,2,2)),rewrite(77849(11),13353(12,R),29777(8),14553(8),29777(6),77849(18))]. given #1861 (T,wt=17): 78292 f(f(x,f(y,x)),f(x,f(f(y,x),f(z,u)))) = x. [para(42708(a,1),78256(a,1,2,2)),rewrite(29777(4),29777(7))]. given #1862 (T,wt=19): 62166 f(f(c_0,f(f(x,x),f(y,z))),f(f(x,u),f(y,z))) = c_0. [para(29777(a,1),37514(a,1,1,2)),rewrite(29777(8))]. given #1863 (T,wt=19): 62247 f(x,f(c_0,f(f(x,f(y,z)),f(y,f(y,f(x,x)))))) = c_0. [para(38549(a,1),55362(a,1,2,2,2,2,2)),rewrite(29777(5),29777(7),10878(8),29777(7))]. given #1864 (A,wt=31): 32019 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(31674(a,1),31720(a,1,2,2,2,2,2)),rewrite(29777(4),29777(6),29777(11))]. given #1865 (F,wt=23): 77853 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(77001(a,1),53124(a,2)),rewrite(29777(5),29777(10))]. given #1866 (F,wt=23): 77858 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(20(a,1),77005(a,1,1)),rewrite(29777(5))]. given #1867 (F,wt=23): 77859 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(77005(a,1),29777(a,1)),rewrite(29777(5),29777(13)),flip(a)]. given #1868 (F,wt=23): 77860 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(29777(a,1),77005(a,1,2,2,1))]. given #1869 (T,wt=19): 62382 f(f(x,f(y,y)),f(c_0,f(x,f(y,f(y,x))))) = f(y,x). [para(34147(a,1),37575(a,1,2,2,2)),rewrite(53330(7),29777(10),53330(10),60988(6))]. given #1870 (T,wt=19): 62672 f(f(x,f(y,f(c_0,f(z,x)))),f(z,f(c_0,f(y,x)))) = x. [para(53124(a,1),37711(a,1,1)),rewrite(29777(6),29777(10))]. given #1871 (T,wt=19): 62674 f(f(x,f(y,f(c_0,f(z,x)))),f(z,f(c_0,f(x,y)))) = x. [para(53124(a,1),37711(a,1,2,2)),rewrite(29777(10))]. given #1872 (T,wt=19): 62934 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(c_0,f(x,u))))) = c_0. [para(37634(a,1),38006(a,1,2,2)),rewrite(29777(9),29777(10))]. given #1873 (A,wt=27): 32020 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(31684(a,1),31720(a,1,2,2,2,2,2)),rewrite(29777(9))]. given #1874 (F,wt=23): 77870 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(77005(a,1),53124(a,1)),rewrite(29777(3),29777(11),57941(13)),flip(a)]. given #1875 (F,wt=23): 77871 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(77005(a,1),53124(a,2)),rewrite(29777(4),29777(10))]. given #1876 (F,wt=23): 77973 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(20(a,1),77021(a,1,1)),rewrite(29777(3))]. given #1877 (F,wt=23): 77974 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(20(a,1),77021(a,1,2,2,2,2,2,2)),rewrite(29777(5),29777(7),29777(10))]. given #1878 (T,wt=19): 62935 f(f(x,f(y,f(z,z))),f(c_0,f(z,f(c_0,f(u,x))))) = c_0. [para(37998(a,1),38006(a,1,2,2)),rewrite(29777(9),29777(10))]. given #1879 (T,wt=19): 62954 f(f(c_0,f(f(x,x),f(y,y))),f(f(x,z),f(y,u))) = c_0. [para(48799(a,1),38006(a,1,2,2)),rewrite(13353(8,R),29777(8),13333(8),29777(6))]. given #1880 (T,wt=19): 63419 f(f(x,x),f(y,f(f(x,z),f(u,f(c_0,f(v,x)))))) = x. [para(37998(a,1),38263(a,1,1,2,2,2)),rewrite(29777(5),29777(6),37998(14),29777(9),13353(9),29777(9),37998(15))]. given #1881 (T,wt=19): 63422 f(f(x,f(y,f(z,f(u,f(z,x))))),f(c_0,f(z,x))) = c_0. [para(38263(a,1),37712(a,1,2,2)),rewrite(29777(1),29777(5),29777(7))]. given #1882 (A,wt=31): 32022 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(31688(a,1),31720(a,1,2,2,2,2,2)),rewrite(29777(4),29777(6),29777(11))]. given #1883 (F,wt=23): 77977 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(77021(a,1),37818(a,1,1,2)),rewrite(29777(7),14553(7),29777(4),29777(19),51255(27),66111(31),13353(20,R),29777(13),25070(14),29777(4)),flip(a)]. given #1884 (F,wt=23): 77979 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(77021(a,1),53124(a,1)),rewrite(29777(9),29777(11),57941(13)),flip(a)]. given #1885 (F,wt=23): 77980 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(77021(a,1),53124(a,2)),rewrite(29777(10))]. given #1886 (F,wt=23): 77983 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(20(a,1),77022(a,1,1)),rewrite(29777(6))]. given #1887 (T,wt=19): 63469 f(x,f(c_0,f(y,f(z,f(x,f(u,f(y,x))))))) = f(y,x). [para(38263(a,1),53124(a,1)),rewrite(29777(7)),flip(a)]. given #1888 (T,wt=19): 63471 f(x,f(c_0,f(y,f(z,f(y,f(u,f(x,y))))))) = f(x,y). [para(38263(a,1),53124(a,2))]. given #1889 (T,wt=17): 78524 f(x,f(f(y,z),f(y,f(u,f(x,y))))) = f(x,y). [para(32551(a,2),63471(a,1,2,2)),rewrite(14553(9))]. given #1890 (T,wt=17): 78526 f(x,f(f(y,z),f(z,f(u,f(x,z))))) = f(x,z). [para(34616(a,2),63471(a,1,2,2)),rewrite(14553(9))]. given #1891 (A,wt=43): 32023 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(31689(a,1),31720(a,1,2,2,2,2,2)),rewrite(29777(10),29777(15),29777(21),14553(21),29777(18))]. given #1892 (F,wt=23): 77984 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(77022(a,1),29777(a,1)),rewrite(29777(6),29777(13)),flip(a)]. given #1893 (F,wt=23): 77988 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(77022(a,1),53124(a,2)),rewrite(29777(5),29777(10))]. given #1894 (F,wt=23): 77991 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(20(a,1),77023(a,1,1)),rewrite(29777(7))]. given #1895 (F,wt=23): 77992 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(77023(a,1),29777(a,1)),rewrite(29777(7),29777(13)),flip(a)]. given #1896 (T,wt=17): 78532 f(x,f(f(y,z),f(y,f(u,f(y,x))))) = f(y,x). [para(78524(a,1),29777(a,2)),rewrite(29777(2),29777(6),29777(7))]. given #1897 (T,wt=17): 78566 f(x,f(f(y,z),f(z,f(u,f(z,x))))) = f(z,x). [para(78526(a,1),29777(a,2)),rewrite(29777(2),29777(6),29777(7))]. given #1898 (T,wt=19): 63474 f(x,f(c_0,f(y,f(z,f(x,f(u,f(x,y))))))) = f(x,y). [para(53124(a,1),38263(a,1)),rewrite(29777(2),29777(6),29777(9))]. given #1899 (T,wt=19): 63479 f(f(x,f(y,x)),f(x,f(z,f(y,f(u,f(y,x)))))) = x. [para(38263(a,1),53418(a,1,2,2)),rewrite(29777(1),29777(5),29777(6),29777(8))]. given #1900 (A,wt=27): 32032 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(16159(a,1),31724(a,1,1,2,2)),rewrite(29777(5),16159(12),29777(10))]. given #1901 (F,wt=23): 77993 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(77023(a,1),53124(a,1)),rewrite(29777(13)),flip(a)]. given #1902 (F,wt=23): 77994 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(77023(a,1),53124(a,2)),rewrite(29777(6),29777(10),57941(12))]. given #1903 (F,wt=23): 77995 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(20(a,1),77031(a,1,1)),rewrite(29777(5))]. given #1904 (F,wt=23): 77996 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(77031(a,1),29777(a,1)),rewrite(29777(5),29777(13)),flip(a)]. given #1905 (T,wt=19): 63525 f(x,f(c_0,f(y,f(z,f(y,f(u,f(y,x))))))) = f(y,x). [para(38272(a,1),53124(a,1)),rewrite(29777(7)),flip(a)]. given #1906 (T,wt=19): 64000 f(f(c_0,f(x,y)),f(f(z,f(x,x)),f(u,f(y,y)))) = c_0. [para(37703(a,1),38543(a,1,2,2)),rewrite(29777(7),29777(9))]. given #1907 (T,wt=19): 64009 f(f(c_0,f(x,f(y,y))),f(f(z,y),f(u,f(x,x)))) = c_0. [para(37997(a,1),38543(a,1,2,2)),rewrite(29777(9))]. given #1908 (T,wt=19): 64011 f(f(c_0,f(x,f(y,y))),f(f(y,z),f(u,f(x,x)))) = c_0. [para(37999(a,1),38543(a,1,2,2)),rewrite(29777(9))]. given #1909 (A,wt=35): 32048 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(30033(a,1),31724(a,1,2,2,2)),rewrite(29777(2),29777(4),29777(6),29777(9),29777(11),29777(12),29777(15),29777(16))]. given #1910 (F,wt=23): 77999 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(77031(a,1),53124(a,2)),rewrite(29777(4),29777(10))]. given #1911 (F,wt=23): 78024 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(60059(a,1),66774(a,1,2,2,2,2,2)),rewrite(60059(10),29777(2),13353(6,R),29777(6),29777(8),29777(10))]. given #1912 (F,wt=23): 78058 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(20(a,1),77032(a,1,1)),rewrite(29777(3))]. given #1913 (F,wt=23): 78059 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(77032(a,1),29777(a,1)),rewrite(29777(3),29777(12)),flip(a)]. given #1914 (T,wt=19): 64053 f(f(x,f(y,f(z,u))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(53124(a,1),38553(a,1,2,2))]. given #1915 (T,wt=19): 64100 f(f(x,f(x,f(y,z))),f(x,f(z,f(c_0,f(y,u))))) = x. [para(53124(a,1),38614(a,1,2,2)),rewrite(29777(5))]. given #1916 (T,wt=19): 64101 f(f(x,f(y,z)),f(x,f(x,f(y,f(u,f(z,z)))))) = x. [para(53321(a,1),38614(a,1,2,2)),rewrite(29777(6),29777(8))]. given #1917 (T,wt=19): 64210 f(f(x,y),f(x,f(f(y,z),f(f(x,y),f(y,z))))) = x. [back_rewrite(37411),rewrite(64170(8))]. given #1918 (A,wt=31): 32050 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(31674(a,1),31724(a,1,2,2,2)),rewrite(29777(4),29777(8),29777(13))]. given #1919 (F,wt=19): 78828 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(x,z)))) = c_0 # label(false). [para(2285(a,1),32050(a,1,1,2,2)),rewrite(29777(3),2285(7),10878(10),29777(9))]. given #1920 (F,wt=23): 78060 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(77032(a,1),53124(a,1)),rewrite(29777(2),29777(10)),flip(a)]. given #1921 (F,wt=23): 78061 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(77032(a,1),53124(a,2)),rewrite(29777(2))]. given #1922 (F,wt=23): 78062 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(77032(a,1),53322(a,1)),rewrite(29777(4)),flip(a)]. given #1923 (T,wt=19): 64309 f(x,f(c_0,f(y,f(c_0,f(z,f(y,f(c_0,f(z,x)))))))) = c_0. [para(53124(a,1),64162(a,1,2,2,1,2,2)),rewrite(29777(10),29777(11),13353(12,R),29777(12),29777(13),57941(13),14553(15))]. given #1924 (T,wt=19): 64634 f(f(x,f(y,f(z,z))),f(x,f(u,f(c_0,f(x,z))))) = x. [para(53124(a,1),38636(a,1,2,2))]. given #1925 (T,wt=19): 64635 f(f(x,f(y,f(z,z))),f(x,f(z,f(c_0,f(x,u))))) = x. [para(53124(a,2),38636(a,1,2,2)),rewrite(29777(5))]. given #1926 (T,wt=19): 64785 f(f(x,y),f(x,f(y,y))) = f(c_0,f(x,f(y,f(x,y)))). [para(31450(a,1),31046(a,1,2,2,2,2,2,2)),rewrite(31450(7),29777(7),13333(7),29777(5),53335(8),31450(9),31450(12),29777(9),13333(9),29777(7))]. given #1927 (A,wt=39): 32051 f(f(c_0,f(x,f(x,y))),f(f(z,f(c_0,f(x,f(x,y)))),f(c_0,f(f(x,y),f(u,f(x,u)))))) = f(z,f(c_0,f(x,f(x,y)))). [para(31724(a,1),31684(a,1,2,2,2)),rewrite(29777(9),29777(15),29777(22))]. given #1928 (F,wt=23): 78067 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(77092(a,1),53124(a,1)),rewrite(29777(5),29777(8),29777(9)),flip(a)]. given #1929 (F,wt=23): 78068 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(77092(a,1),53124(a,2))]. given #1930 (F,wt=23): 78076 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(77113(a,1),42591(a,1,2,2)),rewrite(29777(9),77113(21))]. given #1931 (F,wt=23): 78084 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(77119(a,1),77658(a,1,2,2,2)),rewrite(13353(13,R),29777(8),74584(9),29777(11),10878(12),29777(11))]. given #1932 (T,wt=19): 65412 f(x,f(c_0,f(f(y,z),f(f(y,z),f(y,f(y,x)))))) = c_0. [back_rewrite(33328),rewrite(65398(11))]. given #1933 (T,wt=19): 65486 f(f(x,f(x,y)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(28952(a,1),65255(a,1,1,2,2)),rewrite(29777(4),13333(4),29777(2),13353(5,R),29777(5),13353(9,R),29777(9),13353(12,R),29777(12),57941(13),14387(11))]. given #1934 (T,wt=19): 65487 f(f(x,f(y,x)),f(c_0,f(x,z))) = f(y,f(c_0,f(x,z))). [para(29986(a,1),65255(a,1,1,2,2)),rewrite(29777(4),13333(4),29777(2),13353(5,R),29777(5),13353(9,R),29777(9),13353(12,R),29777(12),57941(13),37701(13))]. given #1935 (T,wt=19): 65610 f(f(x,f(y,z)),f(c_0,f(f(y,y),f(c_0,f(x,u))))) = c_0. [back_rewrite(56438),rewrite(65486(10))]. given #1936 (A,wt=31): 32055 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(31688(a,1),31724(a,1,2,2,2)),rewrite(29777(4),29777(8),29777(13))]. given #1937 (F,wt=23): 78234 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(20(a,1),77849(a,1,2,2,2,2)),rewrite(29777(8),29777(11))]. given #1938 (F,wt=23): 78262 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(77849(a,1),71105(a,1,2,2,1)),rewrite(13353(11,R),29777(7),14553(7),19228(13),29777(4),13353(14,R),29777(11),14387(12))]. given #1939 (F,wt=23): 78267 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(77850(a,1),53124(a,1)),rewrite(57941(13)),flip(a)]. given #1940 (F,wt=23): 78268 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(77850(a,1),53124(a,2)),rewrite(29777(10))]. given #1941 (T,wt=19): 65611 f(f(x,f(y,z)),f(c_0,f(f(z,z),f(c_0,f(x,u))))) = c_0. [back_rewrite(56432),rewrite(65486(10))]. given #1942 (T,wt=19): 65634 f(x,f(c_0,f(y,f(y,f(z,f(y,f(u,f(x,x)))))))) = c_0. [back_rewrite(45159),rewrite(65486(11))]. given #1943 (T,wt=19): 65635 f(f(x,x),f(c_0,f(y,f(y,f(z,f(y,f(x,u))))))) = c_0. [back_rewrite(45153),rewrite(65486(11))]. given #1944 (T,wt=19): 65637 f(x,f(c_0,f(y,f(y,f(z,f(y,f(u,f(y,x)))))))) = c_0. [back_rewrite(45105),rewrite(65486(11))]. given #1945 (A,wt=43): 32056 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(31689(a,1),31724(a,1,2,2,2)),rewrite(29777(10),29777(17),29777(23),14553(23),29777(20),29777(21))]. given #1946 (F,wt=23): 78276 f(f(f(x,x),f(y,z)),f(c_0,f(y,f(c_0,f(f(x,y),f(z,z)))))) = c_0 # label(false). [para(20(a,1),77852(a,1,2,2,2,2,1,2)),rewrite(29777(6))]. given #1947 (F,wt=23): 78277 f(f(x,f(y,z)),f(c_0,f(z,f(c_0,f(f(y,y),f(z,f(x,x))))))) = c_0 # label(false). [para(29777(a,1),77852(a,1,1,2)),rewrite(29777(8))]. given #1948 (F,wt=23): 78278 f(f(x,f(y,z)),f(c_0,f(y,f(c_0,f(f(z,z),f(y,f(x,x))))))) = c_0 # label(false). [para(29777(a,1),77852(a,1,1)),rewrite(29777(2),29777(8))]. given #1949 (F,wt=23): 78281 f(x,f(c_0,f(f(y,f(x,z)),f(c_0,f(f(x,f(y,y)),f(z,z)))))) = c_0 # label(false). [para(77852(a,1),53124(a,2)),rewrite(29777(10))]. given #1950 (T,wt=19): 65674 f(x,f(c_0,f(f(y,f(z,f(y,x))),f(c_0,f(y,u))))) = c_0. [back_rewrite(56415),rewrite(65513(12))]. given #1951 (T,wt=19): 65777 f(x,f(c_0,f(y,f(y,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(41113(a,1),65644(a,1,2,2,2,2)),rewrite(29777(3),29777(4))]. given #1952 (T,wt=19): 65880 f(x,f(c_0,f(y,f(x,f(z,f(c_0,f(u,f(x,y)))))))) = c_0. [para(41113(a,1),65794(a,1,2,2,2,2)),rewrite(29777(4))]. given #1953 (T,wt=19): 65974 f(x,f(f(y,y),f(x,f(y,y)))) = f(x,f(y,f(x,y))). [para(55987(a,1),31054(a,1,1,2,2,2,2,2)),rewrite(64786(7),13353(13),12616(13),29777(13),64786(13),14387(12),29777(10),25061(10),64786(17),55987(33),13353(23),12616(23),29777(23),64786(23),14387(22),29777(20),25061(20),29777(16),64808(16),29777(7),14553(7)),flip(a)]. given #1954 (A,wt=23): 32125 f(f(x,x),f(f(x,y),f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(31774(a,1),31818(a,1,1)),rewrite(31774(9),13333(7),29777(5),29777(6))]. given #1955 (F,wt=19): 79164 f(c_0,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(68331(a,1),65974(a,2,2,2)),rewrite(13353(16,R),29777(12),32793(12),13353(25,R),29777(21),32793(21),73880(19),32793(18),48115(16),23245(16),29777(7),14553(7),29777(15),32793(15),73880(13),32793(12),48115(10)),flip(a)]. given #1956 (F,wt=19): 79183 f(f(x,y),f(x,z)) = f(c_0,f(x,f(f(x,y),f(z,z)))) # label(false). [para(20(a,1),79164(a,1,2,1)),rewrite(29777(2),29777(7),29777(8),29777(10),2285(10),29777(8)),flip(a)]. given #1957 (F,wt=19): 79184 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(z,z))) # label(false). [para(20(a,1),79164(a,1,2,2,2)),rewrite(29777(8))]. given #1958 (F,wt=19): 79185 f(f(x,y),f(y,z)) = f(c_0,f(y,f(f(x,y),f(z,z)))) # label(false). [para(20(a,1),79164(a,2,2,2)),rewrite(20(4),29777(8)),flip(a)]. given #1959 (T,wt=17): 79410 f(f(c_0,f(x,y)),f(f(x,z),f(y,y))) = f(x,y). [para(79183(a,1),44588(a,1,1)),rewrite(55699(10),29777(7))]. given #1960 (T,wt=17): 79494 f(c_0,f(x,f(f(y,z),f(x,z)))) = f(c_0,f(x,z)). [para(79184(a,1),30888(a,1,2,2,1)),rewrite(13353(3,R),29777(3),13353(7,R),29777(7),20(10),29777(10),13353(13,R),29777(13),13353(17,R),29777(17),13353(20,R),29777(20),31478(28),29777(6),79275(6),29777(4),13353(9,R),29777(9))]. given #1961 (T,wt=19): 66310 f(f(x,y),f(y,f(z,f(f(x,y),f(x,f(x,z)))))) = y. [para(45008(a,1),38750(a,1,2,2,1)),rewrite(29777(7),29777(11),60160(15),65160(8))]. given #1962 (T,wt=19): 66566 f(f(c_0,f(x,f(y,y))),f(x,f(y,f(c_0,f(z,u))))) = c_0. [para(31475(a,1),39122(a,1,2,2,2,2)),rewrite(13353(8),29777(10))]. given #1963 (A,wt=27): 32157 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(31910(a,1),31684(a,1,2,2,2)),rewrite(29777(7),29777(13),14553(13),29777(10),29777(15))]. given #1964 (F,wt=19): 79186 f(f(x,y),f(x,f(z,z))) = f(c_0,f(x,f(z,f(x,y)))) # label(false). [para(79164(a,1),14387(a,1,2)),rewrite(36336(5)),flip(a)]. given #1965 (F,wt=19): 79187 f(x,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(79164(a,2),14387(a,1,2,2)),rewrite(14553(8))]. ============================== PROOF ================================= % Proof 1 at 929.81 (+ 1.85) seconds: MOD_SS. % Length of proof is 565. % Level of proof is 72. % Maximum clause weight is 59. % Given clauses 1965. 1 f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # answer(MOD_SS) # 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)]. 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)),v),f(f(f(f(x,v),v),f(z,x)),f(f(z,x),w)))) = 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),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(y,w)))))) = y. [para(2(a,1),7(a,1,1,2)),rewrite(2(12),2(12),2(14),2(17),2(30))]. 9 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(x,u))),f(z,x)),f(f(f(f(z,x),f(z,x)),v),f(f(f(f(x,v),v),f(z,x)),x))) = f(z,x). [para(2(a,1),7(a,1,2,2,1,1,1,1))]. 12 f(f(x,y),f(f(f(y,y),z),y)) = y. [para(2(a,1),8(a,1,2,2))]. 20 f(f(x,y),f(y,y)) = y. [para(2(a,1),12(a,1,2,1))]. 36 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(20(a,1),2(a,1,2,1,1))]. 37 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(20(a,1),2(a,1,2,1))]. 39 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(20(a,1),2(a,1,2,2,1,1,1))]. 44 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(20(a,1),7(a,1,2,2,1,1,1,1))]. 45 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(20(a,1),7(a,1,2,2,1,1,1))]. 46 f(f(x,f(y,y)),y) = f(y,y). [para(20(a,1),7(a,1,2,2,1)),rewrite(20(5),20(5))]. 55 f(f(f(x,x),y),x) = f(x,x). [para(12(a,1),20(a,1,1)),rewrite(12(7)),flip(a)]. 57 f(f(x,y),f(y,f(f(y,y),f(y,z)))) = y. [back_rewrite(37),rewrite(46(7))]. 60 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(46(a,1),2(a,1,2,2,1,1,1))]. 68 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(55(a,1),2(a,1,2,2,1,1,1,1))]. 69 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(x,y)))) = x. [para(55(a,1),2(a,1,2,2,1,1))]. 77 f(f(x,y),f(x,x)) = x. [para(20(a,1),55(a,1,1,1)),rewrite(20(6))]. 80 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(77(a,1),2(a,1,2,2,1,1))]. 81 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(77(a,1),2(a,1,2,2,2))]. 82 f(x,f(f(y,x),f(y,x))) = f(y,x). [para(2(a,1),77(a,1,1))]. 84 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(77(a,1),7(a,1,2,2,1,1))]. 91 f(x,f(f(x,y),f(x,y))) = f(x,y). [para(77(a,1),77(a,1,1))]. 93 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(82(a,1),2(a,1,2,1))]. 94 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(82(a,1),2(a,1,2,2,1,1,1,1))]. 96 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(82(a,1),2(a,1,2,2,2))]. 97 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),82(a,1,2,1)),rewrite(2(20),2(22))]. 102 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(y,x),z),z),y),f(f(f(y,y),u),f(f(f(f(f(y,v),u),u),y),f(w,y)))))) = y. [para(82(a,1),8(a,1,2,2,2,2,2))]. 112 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(44(a,1),46(a,1,1)),flip(a)]. 115 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(77(a,1),44(a,1,2,2,1,1))]. 136 f(f(x,f(f(x,x),f(x,y))),f(x,f(f(x,x),f(x,y)))) = x. [para(57(a,1),55(a,1)),flip(a)]. 139 f(f(x,y),f(y,f(f(y,y),f(z,y)))) = y. [para(82(a,1),57(a,1,2,2,2))]. 156 f(x,f(f(x,x),f(x,f(y,f(x,x))))) = f(x,x). [para(20(a,1),139(a,1,1)),rewrite(77(4))]. 171 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(44(a,1),156(a,1,2,2,2)),rewrite(112(19),55(24),77(21),55(9),112(18)),flip(a)]. 173 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(112),rewrite(171(22))]. 188 f(f(f(f(f(x,x),f(y,y)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,x)),f(f(f(f(y,x),f(y,x)),u),f(f(f(f(x,u),u),f(y,x)),f(f(y,x),v)))) = f(y,x). [para(20(a,1),5(a,1,1,1,2,1,1,1))]. 190 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(20(a,1),5(a,1,2,1,1)),rewrite(97(11))]. 210 f(f(f(f(x,x),x),f(f(f(x,x),x),f(x,y))),f(x,x)) = x. [para(69(a,1),82(a,1,2,1)),rewrite(69(16),69(18))]. 211 f(f(x,x),f(f(f(x,x),x),f(f(f(x,x),x),f(y,x)))) = x. [para(82(a,1),69(a,1,2,2,2))]. 219 f(x,f(f(x,x),f(x,y))) = f(x,x). [para(136(a,1),20(a,1,1)),rewrite(136(9)),flip(a)]. 230 f(f(x,x),f(x,f(f(x,x),y))) = x. [para(20(a,1),219(a,1,2,1)),rewrite(77(8))]. 233 f(x,f(f(x,x),f(y,x))) = f(x,x). [para(82(a,1),219(a,1,2,2))]. 244 f(f(x,x),f(x,f(y,f(x,x)))) = x. [para(82(a,1),230(a,1,2,2))]. 261 f(f(f(f(x,x),x),f(f(x,x),x)),x) = f(f(x,x),x). [para(44(a,1),244(a,1,2,2)),rewrite(173(13),55(14),77(11)),flip(a)]. 275 f(f(f(f(x,x),x),f(f(f(x,x),x),f(y,x))),f(x,x)) = x. [para(82(a,1),210(a,1,1,2,2))]. 292 f(x,f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x))))) = f(x,x). [para(20(a,1),211(a,1,1)),rewrite(77(3),77(5))]. 312 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))),x) = f(x,x). [para(20(a,1),275(a,1,1,1,1)),rewrite(77(5),77(11))]. 399 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(82(a,1),39(a,1,2,2,2))]. 404 f(x,f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(275(a,1),39(a,1,2,2,1)),rewrite(20(4),77(3),82(6))]. 413 f(x,f(f(f(x,x),x),f(x,f(y,f(x,x))))) = f(x,x). [para(82(a,1),404(a,1,2,2,2))]. 577 f(f(f(f(x,x),y),f(f(f(f(y,y),y),x),f(x,z))),f(x,x)) = x. [para(60(a,1),82(a,1,2,1)),rewrite(60(19),60(21))]. 657 f(f(x,y),f(f(f(y,y),f(f(y,x),f(y,x))),f(f(f(y,x),y),f(z,y)))) = y. [para(77(a,1),96(a,1,2,2,1,1))]. 658 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(96(a,1),82(a,1,2,1)),rewrite(96(20),96(22))]. 661 f(f(f(f(x,y),f(x,y)),y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [para(82(a,1),96(a,1,2,2,1,1,1,1))]. 665 f(f(f(f(x,y),f(x,y)),x),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))) = x. [para(91(a,1),96(a,1,2,2,1,1,1,1))]. 668 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,x)),f(z,f(x,x))))) = f(x,x). [para(69(a,1),96(a,1,2,2,1,1,1,1)),rewrite(210(9),77(3))]. 856 f(f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x))),f(x,x)) = x. [para(82(a,1),658(a,1,1,2,1,1,1,1))]. 967 f(f(x,f(x,x)),f(f(f(x,x),x),f(x,f(f(x,x),y)))) = f(x,x). [para(20(a,1),80(a,1,2,2,1)),rewrite(77(5),82(8))]. 969 f(f(f(x,x),x),f(f(x,f(x,x)),f(f(x,x),f(x,y)))) = x. [para(46(a,1),80(a,1,2,2,1)),rewrite(82(9))]. 1005 f(f(f(x,x),x),f(f(x,f(x,x)),f(f(x,x),f(y,x)))) = x. [para(82(a,1),969(a,1,2,2,2))]. 1017 f(f(x,f(x,x)),f(f(f(x,x),x),f(x,f(y,f(x,x))))) = f(x,x). [para(20(a,1),1005(a,1,1,1)),rewrite(77(6),77(7))]. 1073 f(f(f(x,x),x),f(x,f(f(x,x),y))) = x. [para(404(a,1),45(a,1,1)),rewrite(967(25),230(21),46(17),77(3)),flip(a)]. 1077 f(f(f(x,x),x),f(x,f(y,f(x,x)))) = x. [para(413(a,1),45(a,1,1)),rewrite(1017(25),244(21),46(17),77(3)),flip(a)]. 1085 f(f(f(x,x),x),f(f(x,x),f(x,y))) = f(x,x). [para(60(a,1),45(a,1,2,2,1)),rewrite(77(4),77(4),77(8),55(6),77(7),77(11),77(11),77(15),55(13),77(14),77(17),77(17),77(21),55(19),77(20),77(24),77(25),77(27),55(25),77(26),219(26),20(24),55(9),77(4),77(4),77(8),55(6),77(7)),flip(a)]. 1253 f(f(f(f(x,x),f(x,y)),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),z)))) = f(f(x,x),x). [para(1085(a,1),80(a,1,2,1,2,1)),rewrite(1085(18),77(14),261(12),1085(14))]. 2271 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(55(a,1),68(a,1,2,2,2))]. 2277 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(20(a,1),2271(a,1,1,2,1)),rewrite(77(6),77(7),77(10),77(12),77(14),77(17))]. 2285 f(f(x,x),f(x,y)) = x. [para(1073(a,1),2271(a,1,2,2,1)),rewrite(77(4),219(4),77(5),77(8),77(13),46(11),77(3),77(4)),flip(a)]. 2286 f(f(x,x),f(y,x)) = x. [para(1077(a,1),2271(a,1,2,2,1)),rewrite(2285(4),233(4),2285(5),2285(8),2285(13),46(11),2285(3),2285(4)),flip(a)]. 2288 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(2277),rewrite(2285(3))]. 2297 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(1253),rewrite(2285(3),2286(9))]. 2350 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(115),rewrite(2286(3))]. 2353 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(44),rewrite(2286(3))]. 2359 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(46(a,1),2288(a,1,2,1,1,1)),rewrite(46(6),2285(5),46(10),46(17))]. 2364 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(77(a,1),2288(a,1,2,1,1,1)),rewrite(77(4),77(9),77(14))]. 2366 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(77(a,1),2288(a,1,2,2,1,1))]. 2380 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(36(a,1),2288(a,1,2,2,1)),rewrite(77(6),77(17),2285(29),46(27),77(3),77(5)),flip(a)]. 2386 f(x,f(f(x,x),y)) = f(x,x). [para(1073(a,1),2288(a,1,2,2,1)),rewrite(20(10)),flip(a)]. 2387 f(x,f(y,f(x,x))) = f(x,x). [para(1077(a,1),2288(a,1,2,2,1)),rewrite(20(10)),flip(a)]. 2396 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(2297),rewrite(2386(3))]. 2455 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(20(a,1),2364(a,1,2,2,1,1,1))]. 2482 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(2364(a,1),2364(a,1,2,2,1,1,1))]. 2483 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(2285(a,1),2(a,1,2,1))]. 2484 f(f(f(x,y),f(x,y)),y) = f(x,y). [para(2(a,1),2285(a,1,2))]. 2489 f(f(f(x,y),f(x,y)),x) = f(x,y). [para(77(a,1),2285(a,1,2))]. 2527 f(f(x,y),f(f(f(y,y),z),f(f(f(f(f(x,y),z),z),y),f(u,y)))) = y. [back_rewrite(661),rewrite(2484(4))]. 2530 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(94),rewrite(2484(4))]. 2573 f(f(x,y),f(f(f(x,x),z),f(f(f(f(f(x,y),z),z),x),f(u,x)))) = x. [back_rewrite(665),rewrite(2489(4))]. 2598 f(x,f(f(y,x),f(f(f(f(x,x),x),f(y,x)),x))) = f(y,x). [para(2286(a,1),45(a,1,1)),rewrite(2285(6),2484(4),2285(5))]. 2642 f(x,f(f(f(f(x,f(f(f(x,y),y),f(f(x,y),y))),f(x,f(f(f(x,y),y),f(f(x,y),y)))),y),f(f(f(f(x,y),y),f(f(x,y),y)),x))) = f(x,f(f(f(x,y),y),f(f(x,y),y))). [para(2387(a,1),2288(a,1,2,2,1))]. 2705 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),2484(a,1,1,1)),rewrite(2(11),2(22))]. 2720 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(39(a,1),2484(a,1,1,1)),rewrite(39(11),39(22))]. 2727 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x)))) = x. [para(96(a,1),2484(a,1,1,1)),rewrite(96(11),96(22))]. 2743 f(x,f(f(x,y),f(f(f(f(x,y),y),f(x,y)),x))) = f(x,y). [para(2484(a,1),2288(a,1,2,1))]. 2750 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(2482(a,1),2484(a,2)),rewrite(2705(12),2705(28),2705(44),2484(48))]. 2765 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),v)))) = f(z,x). [para(2489(a,1),5(a,1,2,1))]. 2777 f(f(x,x),f(f(f(x,x),y),f(f(f(f(f(z,x),y),y),x),f(u,x)))) = x. [para(856(a,1),2489(a,1,1,1)),rewrite(856(11),856(22))]. 2846 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(77(a,1),2750(a,1,1)),rewrite(77(9),77(13),77(18))]. 2895 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,v)))) = x. [para(2846(a,1),2(a,1,2,2,1,1,1,1))]. 3098 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(2350(a,1),80(a,1,2,1,2,1)),rewrite(2350(22),2350(25))]. 3147 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(2750(a,1),81(a,1,2,2,1,1,1,1))]. 3195 f(f(f(x,x),y),f(f(f(f(f(x,f(x,x)),y),y),x),f(x,z))) = f(x,x). [para(20(a,1),2380(a,1,2,1,1,1,1,1)),rewrite(2285(9),2285(10))]. 3226 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(2285(a,1),2380(a,1,1)),rewrite(2285(3),2285(9),2285(10))]. 3227 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(2286(a,1),2380(a,1,1)),rewrite(2285(3),2285(9),2285(10))]. 3377 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(2455(a,1),81(a,1,2,2,1,1,1,1))]. 3378 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(2455(a,1),81(a,1,2,2,1,1,1)),rewrite(2720(19))]. 3384 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(91(a,1),3377(a,1,1,1,2,2)),rewrite(2285(8),2285(3),2285(10),91(13),91(15),91(16),91(21),91(26))]. 3414 f(f(x,y),f(f(f(f(y,x),f(y,z)),f(y,z)),y)) = y. [para(2387(a,1),2483(a,1,2,2)),rewrite(82(15))]. 3437 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),3414(a,1,2,1,1,2)),rewrite(2(16))]. 3443 f(x,f(f(f(x,f(f(y,x),z)),f(f(y,x),z)),f(y,x))) = f(y,x). [para(20(a,1),3414(a,1,2,1,1,1)),rewrite(2286(3))]. 3447 f(x,f(f(f(x,f(f(x,y),z)),f(f(x,y),z)),f(x,y))) = f(x,y). [para(77(a,1),3414(a,1,2,1,1,1)),rewrite(2285(3))]. 3448 f(f(x,f(y,z)),f(f(f(f(f(y,z),x),y),y),f(y,z))) = f(y,z). [para(77(a,1),3414(a,1,2,1,1,2)),rewrite(77(8))]. 3449 f(f(x,y),f(f(f(f(x,y),f(y,z)),f(y,z)),y)) = y. [para(82(a,1),3414(a,1,2,1,1,1)),rewrite(2484(4))]. 3450 f(f(x,y),f(f(f(f(y,x),f(z,y)),f(z,y)),y)) = y. [para(82(a,1),3414(a,1,2,1,1,2)),rewrite(82(8))]. 3451 f(f(x,y),f(f(f(f(x,y),f(x,z)),f(x,z)),x)) = x. [para(91(a,1),3414(a,1,2,1,1,1)),rewrite(2489(4))]. 3454 f(f(f(f(x,f(x,x)),f(x,y)),f(x,y)),x) = f(x,x). [para(3414(a,1),60(a,1,2,2,1)),rewrite(2286(9),2484(16),3226(18)),flip(a)]. 3482 f(x,f(f(f(x,x),x),f(x,y))) = f(x,y). [para(2359(a,1),3414(a,1,2,1,1)),rewrite(2285(3),77(5),77(9),46(7),77(4))]. 3486 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(2750(a,1),3414(a,1,2,1,1))]. 3523 f(x,f(f(f(x,x),x),f(y,x))) = f(y,x). [para(82(a,1),3482(a,1,2,2)),rewrite(82(9))]. 3566 f(f(x,x),f(f(f(x,x),x),f(x,y))) = f(f(x,x),x). [para(3482(a,1),2396(a,1,2,2))]. 3576 f(f(x,x),f(f(x,f(x,x)),f(y,f(x,x)))) = f(y,f(x,x)). [para(20(a,1),3523(a,1,2,1,1))]. 3750 f(f(x,f(y,z)),f(f(f(f(x,f(y,z)),y),y),f(y,z))) = f(y,z). [para(77(a,1),3449(a,1,2,1,1,2)),rewrite(77(8))]. 3751 f(f(x,y),f(f(f(f(x,y),f(z,y)),f(z,y)),y)) = y. [para(82(a,1),3449(a,1,2,1,1,2)),rewrite(82(8))]. 3791 f(x,f(f(f(x,f(y,f(z,x))),f(y,f(z,x))),f(z,x))) = f(z,x). [para(20(a,1),3450(a,1,2,1,1,1)),rewrite(2286(3))]. 3793 f(x,f(f(f(x,f(y,f(x,z))),f(y,f(x,z))),f(x,z))) = f(x,z). [para(77(a,1),3450(a,1,2,1,1,1)),rewrite(2285(3))]. 3794 f(f(x,y),f(f(f(f(x,y),f(z,x)),f(z,x)),x)) = x. [para(91(a,1),3450(a,1,2,1,1,1)),rewrite(2489(4))]. 3797 f(f(f(f(x,f(x,x)),f(y,x)),f(y,x)),x) = f(x,x). [para(3450(a,1),60(a,1,2,2,1)),rewrite(2286(9),2484(16),3227(18)),flip(a)]. 3863 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),3451(a,1,2,1,1,2)),rewrite(2(16))]. 3906 f(x,f(f(f(x,f(x,x)),f(x,y)),f(x,y))) = f(x,x). [para(3454(a,1),2489(a,1,1,1)),rewrite(3454(8),2285(3),3454(14))]. 3990 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),3566(a,1,2,2))]. 3996 f(x,f(f(x,f(x,x)),f(f(x,x),y))) = f(x,f(x,x)). [para(20(a,1),3566(a,1,1)),rewrite(2285(3),2285(9))]. 3999 f(f(x,x),f(f(f(x,x),x),f(y,x))) = f(f(x,x),x). [para(82(a,1),3566(a,1,2,2))]. 4218 f(x,f(f(f(x,f(x,x)),f(y,x)),f(y,x))) = f(x,x). [para(3797(a,1),2489(a,1,1,1)),rewrite(3797(8),2285(3),3797(14))]. 4239 f(x,f(f(x,f(x,x)),f(y,f(x,x)))) = f(x,f(x,x)). [para(82(a,1),3996(a,1,2,2))]. 4283 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(3999(a,1),2353(a,1,2,2,1,1,1))]. 4399 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(4239(a,1),2743(a,1,2,1)),rewrite(4239(8),4239(16),4239(22))]. 4566 f(x,f(f(f(x,y),y),f(x,y))) = f(x,y). [para(77(a,1),3437(a,1,2,1,1,1)),rewrite(2285(3))]. 4841 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(3999(a,1),4566(a,1,2,1,1)),rewrite(3999(14),3999(18))]. 4854 f(x,f(f(f(x,y),f(f(f(x,y),y),f(x,y))),f(x,y))) = f(x,y). [para(4566(a,1),4566(a,1,2,1,1)),rewrite(4566(11),4566(14))]. 4863 f(x,f(f(f(x,y),y),f(y,x))) = f(y,x). [para(77(a,1),3443(a,1,2,1,1,2)),rewrite(77(4))]. 4935 f(f(x,x),x) = f(x,f(x,x)). [para(55(a,1),4863(a,1,2,1)),rewrite(2285(5))]. 4936 f(f(x,x),f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x)))) = x. [para(4863(a,1),69(a,1,2,2,2)),rewrite(4935(3),4935(5))]. 4938 f(f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))),f(x,x)) = x. [para(4863(a,1),210(a,1,1,2,2)),rewrite(4935(2),4935(4))]. 4944 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(z,x))),f(x,x)) = x. [para(4863(a,1),577(a,1,1,2,2)),rewrite(4935(4))]. 4945 f(f(f(f(x,x),y),f(f(f(y,f(y,y)),x),f(x,z))),f(x,x)) = x. [para(577(a,1),4863(a,1,2,2)),rewrite(4935(6),4935(15),2286(22),4935(4)),flip(a)]. 5002 f(x,f(f(y,x),f(f(f(x,f(x,x)),f(y,x)),x))) = f(y,x). [para(2598(a,1),4863(a,1,2,2)),rewrite(4935(3),4935(10),3863(19),4935(4)),flip(a)]. 5028 f(x,f(f(x,f(x,x)),f(y,x))) = f(y,x). [para(4863(a,1),3482(a,1,2,2)),rewrite(4935(2),4863(10))]. 5030 f(x,f(f(x,f(x,x)),f(x,y))) = f(x,y). [para(3482(a,1),4863(a,1,2,2)),rewrite(4935(2),4935(6),3750(13),4935(3)),flip(a)]. 5043 f(f(x,x),f(f(x,f(x,x)),f(y,x))) = f(x,f(x,x)). [para(4863(a,1),3566(a,1,2,2)),rewrite(4935(3),4935(8))]. 5045 f(f(x,x),f(f(x,f(x,x)),f(x,y))) = f(x,f(x,x)). [para(3566(a,1),4863(a,1,2,2)),rewrite(4935(2),4935(6),4935(14),3863(16),4935(5)),flip(a)]. 5053 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(3384(a,1),4863(a,2)),rewrite(4935(25),4935(37),4935(49),4863(68))]. 5065 f(x,f(f(f(y,x),f(f(f(x,y),y),f(y,x))),f(y,x))) = f(y,x). [para(4863(a,1),4566(a,1,2,1,1)),rewrite(4863(11),4863(14))]. 5086 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(4841),rewrite(4935(3),4935(5),4935(10),4935(14))]. 5260 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(4283),rewrite(4935(8),4935(13),4935(15))]. 5371 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(3990),rewrite(4935(8),4935(15))]. 5957 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(4399),rewrite(5028(16))]. 5972 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(4935(a,1),9(a,1,1,1,2,1,1)),rewrite(2285(3))]. 6008 f(f(x,y),f(f(f(y,x),f(f(y,x),f(y,x))),y)) = y. [para(4935(a,1),3414(a,1,2,1))]. 6577 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(292(a,1),6008(a,1,1)),rewrite(312(10),312(11),312(12),2285(5),4935(3))]. 6771 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(4936(a,1),6008(a,1,1)),rewrite(4938(9),4938(9),4938(9))]. 7560 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(4218(a,1),3791(a,1,2,1,1))]. 7663 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(3906(a,1),3793(a,1,2,1,1))]. 7685 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(399(a,1),3863(a,1,1,1)),rewrite(399(12),399(33),399(35))]. 8550 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(4944(a,1),3447(a,1,2,1,1,2)),rewrite(55(5),4944(13),4935(4))]. 8558 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(4945(a,1),3447(a,1,2,1,1,2)),rewrite(55(5),4945(13),4935(4))]. 9519 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(3454(a,1),2530(a,1,2,2,1,1,1)),rewrite(2489(10),4935(9))]. 9649 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(x,z)),f(f(f(f(x,z),f(x,z)),f(x,x)),f(f(x,f(x,z)),z))) = f(x,z). [para(2573(a,1),84(a,1,2,1,2,1)),rewrite(2573(25),2573(27))]. 10614 f(f(f(f(f(f(x,f(x,x)),y),y),x),f(x,z)),x) = f(x,x). [para(3195(a,1),82(a,1,2,1)),rewrite(3195(18),2285(10),3195(18))]. 10677 f(f(f(f(x,f(x,x)),y),y),x) = f(x,x). [para(2387(a,1),10614(a,1,1)),rewrite(2484(12))]. 10706 f(f(f(f(x,f(x,x)),y),y),f(x,x)) = x. [para(20(a,1),10677(a,1,1,1,1,2)),rewrite(4935(2),2285(9))]. 10806 f(f(x,x),f(f(f(x,f(x,x)),y),y)) = x. [para(10706(a,1),2489(a,1,1,1)),rewrite(10706(6),10706(12))]. 10821 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(10706(a,1),3437(a,1,2,1,1,1)),rewrite(10806(6))]. 10878 f(x,f(x,f(x,y))) = f(x,y). [back_rewrite(7663),rewrite(10806(8))]. 10879 f(x,f(x,f(y,x))) = f(y,x). [back_rewrite(7560),rewrite(10806(8))]. 10889 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,x))) = f(y,x). [back_rewrite(6771),rewrite(10878(10),5028(5)),flip(a)]. 10890 f(f(x,f(x,x)),f(f(x,f(x,x)),f(y,f(x,x)))) = f(y,f(x,x)). [back_rewrite(6577),rewrite(10878(12),3576(7)),flip(a)]. 10942 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(5260),rewrite(10889(18))]. 10947 f(f(x,x),f(f(y,x),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(5086),rewrite(10889(8))]. 10956 f(f(f(x,f(y,y)),f(y,f(y,y))),y) = f(y,f(y,y)). [back_rewrite(5957),rewrite(10890(8))]. 11022 f(f(x,y),f(f(x,y),y)) = y. [para(2(a,1),10878(a,1,2,2)),rewrite(2(15))]. 11032 f(f(x,y),f(f(x,y),x)) = x. [para(77(a,1),10878(a,1,2,2)),rewrite(77(7))]. 11051 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(10878(a,1),668(a,1,2,1)),rewrite(10878(4))]. 11072 f(f(x,y),f(f(f(f(x,f(x,y)),f(x,f(x,y))),f(f(f(x,f(x,y)),x),f(f(x,f(x,y)),x))),f(f(f(f(x,f(x,y)),x),f(x,f(x,y))),f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [para(10878(a,1),657(a,1,1))]. 11092 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(10878(a,1),2366(a,1,2,2,1))]. 11284 f(f(x,y),f(f(f(f(y,f(x,y)),f(y,f(x,y))),f(f(f(y,f(x,y)),y),f(f(y,f(x,y)),y))),f(f(f(f(y,f(x,y)),y),f(y,f(x,y))),f(z,f(y,f(x,y)))))) = f(y,f(x,y)). [para(10879(a,1),657(a,1,1))]. 11300 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)),x)),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)),x)),f(x,y))) = f(x,y). [para(81(a,1),10879(a,1,2,2)),rewrite(81(42))]. 11301 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(10879(a,1),2366(a,1,2,2,1))]. 11449 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),11022(a,1,1)),rewrite(2(11))]. 11490 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(2288(a,1),11022(a,1,1)),rewrite(2288(12))]. 11499 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(81(a,1),11022(a,1,1)),rewrite(81(16))]. 11515 f(f(x,y),f(f(y,f(f(x,y),y)),y)) = y. [para(11022(a,1),3751(a,1,2,1,1))]. 11661 f(f(x,y),f(f(y,f(f(y,x),y)),y)) = y. [para(11032(a,1),3450(a,1,2,1,1))]. 11665 f(f(x,y),f(f(x,f(f(x,y),x)),x)) = x. [para(11032(a,1),3794(a,1,2,1,1))]. 11751 f(f(f(x,f(x,x)),y),y) = f(x,f(x,x)). [para(10677(a,1),11032(a,1,1)),rewrite(10677(6),10806(7),4935(2)),flip(a)]. 11761 f(x,f(f(f(x,y),y),f(x,f(x,x)))) = f(x,f(x,x)). [back_rewrite(10821),rewrite(11751(6),11751(10))]. 11779 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(9519),rewrite(11751(6))]. 11957 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(11515(a,1),668(a,1,2,1)),rewrite(11515(7))]. 11996 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(11515(a,1),3448(a,1,2,1,1,1))]. 12085 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(2350(a,1),11661(a,1,2,1,2,1))]. 12089 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(2366(a,1),11661(a,1,2,1,2,1))]. 12275 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)),f(z,f(x,y))))) = f(x,y). [para(11665(a,1),657(a,1,2,1,2,1)),rewrite(11665(15),11665(17))]. 12279 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(11665(a,1),84(a,1,2,1,2,1)),rewrite(11665(15),11665(17))]. 12364 f(f(x,f(x,x)),f(y,y)) = y. [para(11751(a,1),20(a,1,1))]. 12366 f(x,f(f(y,f(y,y)),f(y,f(y,y)))) = f(y,f(y,y)). [para(11751(a,1),82(a,1,2,1)),rewrite(11751(6),11751(10))]. 12368 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(91(a,1),11751(a,1,1))]. 12374 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(11751(a,1),96(a,1,2,2,2))]. 12375 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(11751(a,1),190(a,1,2,1)),rewrite(11751(9),12368(16))]. 12410 f(f(x,x),f(y,f(y,y))) = x. [para(11751(a,1),2286(a,1,2))]. 12412 f(x,f(y,f(y,y))) = f(x,x). [para(11751(a,1),2387(a,1,2))]. 12416 f(f(f(x,f(x,x)),f(x,f(x,x))),y) = f(x,f(x,x)). [para(11751(a,1),2484(a,1,1,1)),rewrite(11751(6),11751(10))]. 12441 f(f(x,f(x,x)),f(f(x,f(x,x)),y)) = y. [para(11751(a,1),3449(a,1,1)),rewrite(11751(6),11751(8))]. 12442 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(11751(a,1),3450(a,1,1))]. 12446 f(x,f(x,f(y,f(y,y)))) = f(y,f(y,y)). [para(11751(a,1),3451(a,1,2,1,1)),rewrite(12441(6),12441(6))]. 12454 f(f(x,y),f(f(z,f(z,z)),y)) = y. [para(11751(a,1),93(a,1,2,1)),rewrite(12364(8),12364(10),12366(10),12364(9),12364(11),12446(11),46(6),2285(6))]. 12459 f(x,f(x,x)) = f(y,f(y,y)). [para(11751(a,1),3576(a,2)),rewrite(12364(7),82(7))]. 12475 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,v),u),u),y),f(w,y)))))) = y. [para(11751(a,1),102(a,1,1))]. 12480 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(11751(a,1),5002(a,1,2,1)),rewrite(11751(8),11751(14))]. 12527 f(f(f(f(x,f(x,x)),f(f(f(y,f(y,y)),x),f(x,z))),f(y,f(y,y))),f(f(y,f(y,y)),f(f(f(f(x,u),u),f(y,f(y,y))),f(f(y,f(y,y)),v)))) = f(y,f(y,y)). [para(11751(a,1),188(a,1,1,2)),rewrite(12454(8),4935(2),12454(12),11751(6),11751(15),11751(17),12416(17),11751(19),11751(22),11751(28))]. 12539 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(11751(a,1),2527(a,1,1)),rewrite(11751(8),11751(8))]. 12543 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(11751(a,1),2530(a,1,1)),rewrite(11751(8),11751(8))]. 12550 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(11751(a,1),2573(a,1,2,2,2))]. 12565 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(11751(a,1),2720(a,1,2,2,2)),rewrite(12454(7),12454(7))]. 12583 f(f(f(x,f(x,x)),y),f(x,f(x,x))) = y. [para(11751(a,1),11022(a,1,2))]. 12610 f(f(f(x,f(x,x)),y),f(y,z)) = y. [back_rewrite(12375),rewrite(12454(14),12441(10),12454(12))]. 12616 f(x,f(x,x)) = c_0. [new_symbol(12459)]. 12660 f(c_0,f(f(f(x,x),y),f(f(c_0,x),f(z,x)))) = x. [back_rewrite(12539),rewrite(12616(2),12616(5))]. 12776 f(f(f(x,x),y),f(f(c_0,x),f(z,x))) = f(x,x). [back_rewrite(8550),rewrite(12616(4),12616(7),12660(11),55(3),12616(5)),flip(a)]. 12798 f(f(x,y),f(c_0,x)) = x. [back_rewrite(7685),rewrite(12616(7),12776(10),77(4),12616(6),12776(9),12616(3))]. 12869 f(c_0,f(f(f(x,x),y),f(f(c_0,x),f(x,z)))) = x. [back_rewrite(12543),rewrite(12616(2),12616(5))]. 12872 f(f(f(c_0,f(f(c_0,x),f(x,y))),c_0),f(c_0,f(f(f(f(x,z),z),c_0),f(c_0,u)))) = c_0. [back_rewrite(12527),rewrite(12616(2),12616(3),12616(8),12616(10),12616(13),12616(15),12616(20))]. 12898 f(c_0,f(f(x,y),f(f(c_0,f(x,y)),f(f(x,y),z)))) = f(x,y). [back_rewrite(11779),rewrite(12616(2),12616(4))]. 13063 f(f(f(x,x),y),f(f(c_0,x),f(x,z))) = f(x,x). [back_rewrite(8558),rewrite(12616(4),12616(7),12869(11),55(3),12616(5)),flip(a)]. 13139 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(5972),rewrite(12616(5))]. 13156 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(5053),rewrite(12616(5))]. 13161 f(f(x,f(y,z)),f(f(y,z),f(f(c_0,f(y,z)),y))) = f(y,z). [back_rewrite(3378),rewrite(12616(11),13063(16),12616(8))]. 13263 f(f(c_0,x),f(x,y)) = x. [back_rewrite(12610),rewrite(12616(2))]. 13282 f(f(c_0,x),c_0) = x. [back_rewrite(12583),rewrite(12616(2),12616(4))]. 13294 f(c_0,x) = f(x,x). [back_rewrite(12565),rewrite(12616(4),12616(5),12616(8),13282(8),12798(5),12616(3)),flip(a)]. 13303 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(12550),rewrite(12616(9))]. 13330 f(x,f(c_0,c_0)) = c_0. [back_rewrite(12480),rewrite(12616(2),12616(3),12616(4),2386(6),12616(6))]. 13333 f(c_0,f(x,x)) = x. [back_rewrite(12475),rewrite(12616(2),12616(5),13294(5),12616(5),13294(5),4935(5),12616(5),13294(5),2727(14),55(4))]. 13346 f(c_0,f(f(f(c_0,f(x,y)),f(x,y)),y)) = y. [back_rewrite(12442),rewrite(12616(2),12616(3),13294(3),12616(3))]. 13352 f(f(c_0,c_0),x) = c_0. [back_rewrite(12416),rewrite(12616(2),12616(3),12616(6))]. 13353 f(x,c_0) = f(x,x). [back_rewrite(12412),rewrite(12616(2))]. 13354 f(f(x,x),c_0) = x. [back_rewrite(12410),rewrite(12616(3))]. 13364 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(12374),rewrite(12616(9))]. 13428 f(x,f(f(f(x,y),y),c_0)) = c_0. [back_rewrite(11761),rewrite(12616(4),12616(7))]. 13488 f(f(f(x,f(y,y)),c_0),y) = c_0. [back_rewrite(10956),rewrite(12616(4),12616(7))]. 13494 f(f(x,x),f(f(y,x),c_0)) = c_0. [back_rewrite(10947),rewrite(12616(4),12616(7))]. 13499 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(10942),rewrite(13294(6,R),12616(7))]. 14294 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(5371),rewrite(13294(3,R),13294(7,R),13294(14,R))]. 14382 f(f(x,x),f(c_0,f(x,y))) = c_0. [back_rewrite(5045),rewrite(12616(3),12616(7))]. 14383 f(f(x,x),f(c_0,f(y,x))) = c_0. [back_rewrite(5043),rewrite(12616(3),12616(7))]. 14387 f(x,f(c_0,f(x,y))) = f(x,y). [back_rewrite(5030),rewrite(12616(2))]. 14389 f(x,f(c_0,f(y,x))) = f(y,x). [back_rewrite(5028),rewrite(12616(2))]. 14429 f(x,f(c_0,f(y,f(x,x)))) = c_0. [back_rewrite(4239),rewrite(12616(2),12616(7))]. 14431 f(x,f(c_0,f(f(x,x),y))) = c_0. [back_rewrite(3996),rewrite(12616(2),12616(7))]. 14525 f(x,f(f(f(c_0,f(x,f(c_0,f(f(x,y),y)))),y),f(f(c_0,f(f(x,y),y)),x))) = f(x,f(c_0,f(f(x,y),y))). [back_rewrite(2642),rewrite(13294(5,R),13294(10,R),13294(11,R),13294(13,R),13294(20,R))]. 14531 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(13156),rewrite(13294(2),2285(3),2285(3),13294(3,R))]. 14536 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(13139),rewrite(13294(2),2285(3),2286(3),13294(3,R))]. 14553 f(c_0,f(c_0,f(x,y))) = f(x,y). [back_rewrite(12898),rewrite(13263(8),13294(4,R))]. 14555 f(x,f(c_0,f(f(f(f(x,y),y),c_0),f(z,z)))) = c_0. [back_rewrite(12872),rewrite(13294(3),2285(4),13294(2),13354(3),13294(7))]. 14590 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(12279),rewrite(13294(9,R))]. 14592 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)),f(z,f(x,y))))) = f(x,y). [back_rewrite(12275),rewrite(13294(9,R))]. 14621 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(12089),rewrite(13294(3,R))]. 14625 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(12085),rewrite(13294(3,R))]. 14657 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(11957),rewrite(13294(9,R),13294(13,R),13294(20,R))]. 14777 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(11499),rewrite(13294(5,R),13294(19,R))]. 14783 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(11490),rewrite(13294(5,R),13294(17,R))]. 14830 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(11301),rewrite(13294(5,R))]. 14831 f(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(f(c_0,f(x,y)),z),f(f(f(f(f(f(x,y),u),z),z),f(x,y)),x)),f(x,y))) = f(x,y). [back_rewrite(11300),rewrite(13294(3,R),13294(15,R))]. 14842 f(f(x,y),f(f(f(c_0,f(y,f(x,y))),f(c_0,f(f(y,f(x,y)),y))),f(f(f(f(y,f(x,y)),y),f(y,f(x,y))),f(z,f(y,f(x,y)))))) = f(y,f(x,y)). [back_rewrite(11284),rewrite(13294(6,R),13294(12,R))]. 14873 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(11092),rewrite(13294(5,R))]. 14886 f(f(x,y),f(f(f(c_0,f(x,f(x,y))),f(c_0,f(f(x,f(x,y)),x))),f(f(f(f(x,f(x,y)),x),f(x,f(x,y))),f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [back_rewrite(11072),rewrite(13294(6,R),13294(12,R))]. 15012 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(x,z)),f(f(f(c_0,f(x,z)),f(x,x)),f(f(x,f(x,z)),z))) = f(x,z). [back_rewrite(9649),rewrite(13294(14,R))]. 15847 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(3147),rewrite(13294(19,R))]. 15856 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(3098),rewrite(13294(3,R),13294(14,R),14383(15))]. 15890 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,v)))) = x. [back_rewrite(2895),rewrite(13294(5,R))]. 15971 f(f(c_0,f(x,y)),x) = f(x,y). [back_rewrite(2489),rewrite(13294(3,R))]. 15973 f(f(c_0,f(x,y)),y) = f(x,y). [back_rewrite(2484),rewrite(13294(3,R))]. 16159 f(f(x,f(y,z)),f(c_0,f(y,z))) = f(y,z). [back_rewrite(13161),rewrite(15971(7),13294(5,R))]. 16244 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(77(a,1),13303(a,1,1)),rewrite(13294(3,R),77(7))]. 16681 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(4566(a,1),14531(a,1,2,1))]. 16727 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(13294(a,2),96(a,1,2,2))]. 16744 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(13294(a,2),2527(a,1,2,2))]. 16745 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(13294(a,2),2573(a,1,2,2))]. 16746 f(f(x,x),f(f(f(x,x),y),f(c_0,f(f(f(f(x,z),y),y),x)))) = x. [para(13294(a,2),2727(a,1,2,2))]. 16747 f(f(x,x),f(f(f(x,x),y),f(c_0,f(f(f(f(z,x),y),y),x)))) = x. [para(13294(a,2),2777(a,1,2,2))]. 16795 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(20(a,1),16727(a,1,2,1,1))]. 16798 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(77(a,1),16727(a,1,2,2,2,1,1,1)),rewrite(2285(3),13294(3,R))]. 16815 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(2743(a,1),16727(a,1,2,2,2,1,1,1))]. 16890 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(4854(a,1),16727(a,1,2,2,2,1,1,1))]. 16894 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(5065(a,1),16727(a,1,2,2,2,1,1,1))]. 16968 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(16744(a,1),20(a,1,1)),rewrite(13294(19,R))]. 16988 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(4566(a,1),16744(a,1,2,2,2,1,1))]. 17030 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(16744(a,1),11022(a,1,1)),rewrite(16744(11))]. 17044 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(20(a,1),16745(a,1,2,1,1))]. 17074 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(4566(a,1),16745(a,1,2,2,2,1,1))]. 17147 f(f(f(c_0,f(x,y)),f(x,y)),y) = f(y,y). [para(3450(a,1),14536(a,1,2,2,1)),rewrite(12616(3),13346(8),13294(3,R),13333(3),12616(3)),flip(a)]. 17165 f(f(f(f(c_0,f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y)),f(f(f(x,y),f(f(f(f(f(f(c_0,f(x,y)),z),f(f(f(f(y,z),z),f(x,y)),y)),y),y),f(x,y))),f(x,y))) = f(x,y). [para(14536(a,1),5065(a,1,2,1,1)),rewrite(14536(34),14536(37),14536(40))]. 17589 f(x,f(f(f(c_0,f(x,f(c_0,f(f(x,y),y)))),y),f(f(c_0,f(f(x,y),y)),c_0))) = f(x,f(c_0,f(f(x,y),y))). [para(2387(a,1),16244(a,1,2,2,1)),rewrite(13294(6,R),13294(13,R),13294(21,R))]. 17801 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(16798(a,1),3486(a,1,2,1,2,2,1,1,2,2,1,1,1,1)),rewrite(16798(30),16798(35))]. 18080 f(f(x,y),f(f(y,f(f(y,f(f(y,x),y)),y)),c_0)) = c_0. [para(11661(a,1),13428(a,1,2,1,1))]. 18093 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(13428(a,1),13364(a,1,2,2,1,1,1))]. 18095 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(13428(a,1),14531(a,1,2,2,1,1,1))]. 18102 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(16727(a,1),13428(a,1,2,1,1))]. 18111 f(x,f(c_0,f(f(x,y),y))) = c_0. [para(13353(a,1),13428(a,1,2)),rewrite(13294(5,R))]. 18120 f(x,f(c_0,f(f(c_0,f(f(x,y),y)),c_0))) = c_0. [back_rewrite(17589),rewrite(18111(6),13352(4),18111(14))]. 18121 f(f(c_0,f(f(x,y),y)),x) = c_0. [back_rewrite(14525),rewrite(18111(6),13352(4),14389(8),18111(10))]. 19039 f(f(f(x,f(y,y)),c_0),f(c_0,f(y,f(z,z)))) = c_0. [para(13488(a,1),2527(a,1,2,2,1,1,1)),rewrite(13352(8),13294(7),13354(8),13353(7))]. 19101 f(f(c_0,f(x,y)),f(x,x)) = c_0. [para(2285(a,1),13494(a,1,2,1)),rewrite(13294(3,R),13353(5))]. 19102 f(f(c_0,f(x,y)),f(y,y)) = c_0. [para(2286(a,1),13494(a,1,2,1)),rewrite(13294(3,R),13353(5))]. 19138 f(f(c_0,f(x,f(x,y))),f(f(x,y),c_0)) = c_0. [para(10878(a,1),13494(a,1,2,1)),rewrite(13294(5,R))]. 19139 f(f(c_0,f(x,f(y,x))),f(f(y,x),c_0)) = c_0. [para(10879(a,1),13494(a,1,2,1)),rewrite(13294(5,R))]. 19216 f(f(f(f(f(x,x),y),f(f(f(f(f(x,z),y),y),x),f(u,x))),f(x,z)),f(c_0,f(f(x,f(x,z)),z))) = f(x,z). [back_rewrite(15012),rewrite(19101(16))]. 19221 f(f(x,y),x) = f(x,f(x,y)). [back_rewrite(14873),rewrite(19101(6),14389(5))]. 19222 f(f(x,y),y) = f(y,f(x,y)). [back_rewrite(14830),rewrite(19101(6),14389(5))]. 19228 f(f(x,y),f(x,f(x,y))) = x. [back_rewrite(14621),rewrite(19101(5),19221(4),10878(4),15971(4),19221(3),10878(4),19221(3))]. 19230 f(x,f(c_0,f(f(x,f(x,y)),f(z,f(x,y))))) = f(x,y). [back_rewrite(14592),rewrite(19221(2),10878(3),19221(2),19222(4),19228(4),19101(5))]. 19231 f(x,f(c_0,f(f(x,f(x,y)),y))) = f(x,y). [back_rewrite(14590),rewrite(19221(2),10878(3),19221(2),19222(4),19228(4),19101(5))]. 19248 f(f(x,y),f(c_0,f(f(y,f(x,y)),f(y,z)))) = y. [back_rewrite(15856),rewrite(19102(5),19221(4),10879(4),15973(4),19222(4))]. 19304 f(f(x,y),f(y,f(x,y))) = y. [back_rewrite(14625),rewrite(19102(5),19221(4),10879(4),15973(4),19222(3),10879(4),19222(3))]. 19696 f(x,f(c_0,f(y,f(x,y)))) = c_0. [back_rewrite(18120),rewrite(19222(4),19221(7),14553(7))]. 19697 f(f(x,y),f(f(y,x),c_0)) = c_0. [back_rewrite(18080),rewrite(19221(3),10878(4),19221(3),10878(4))]. 19758 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(17801),rewrite(19222(7),19222(17),19221(23),19221(28),10878(28))]. 19830 f(f(f(f(c_0,f(x,y)),z),f(f(f(z,f(y,z)),f(x,y)),y)),f(f(y,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))) = f(x,y). [back_rewrite(17165),rewrite(19222(6),19222(17),19222(23),19221(28),10879(28))]. 19857 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(17074),rewrite(19222(5),19222(8),19304(8),19222(9),19222(12),19304(12),19222(7))]. 19875 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(16988),rewrite(19222(5),19222(8),19304(8),19222(9),19222(12),19304(12),19222(7))]. 19886 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(16894),rewrite(19222(3),19221(8),10879(8),19222(11))]. 19889 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(16890),rewrite(19222(3),19222(5),19304(5),19222(2),19222(4),19304(4),19222(7))]. 19909 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(16815),rewrite(19222(3),19222(5),19304(5),19222(10))]. 19924 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(16681),rewrite(19222(9),19222(14),19304(14),19222(10),19222(15),19304(15),19222(6))]. 20061 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,v)))) = x. [back_rewrite(15890),rewrite(19222(8),19221(15),19222(23))]. 20080 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(15847),rewrite(19222(5),19221(11),19222(22))]. 20369 f(f(x,y),f(f(f(c_0,f(x,f(x,y))),f(c_0,f(x,y))),f(x,f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [back_rewrite(14886),rewrite(19221(9),10878(9),19221(12),10878(12),19228(13))]. 20387 f(f(x,y),f(f(f(c_0,f(y,f(x,y))),f(c_0,f(x,y))),f(y,f(z,f(y,f(x,y)))))) = f(y,f(x,y)). [back_rewrite(14842),rewrite(19221(9),10879(9),19221(12),10879(12),19304(13))]. 20459 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(14657),rewrite(19222(3),10879(4),19222(3),10879(4))]. 20687 f(x,f(f(y,f(x,y)),f(y,x))) = f(y,x). [back_rewrite(11996),rewrite(19222(2),10879(3),19222(2),19222(4),19304(4),19222(2))]. 21214 f(f(f(f(f(x,x),y),f(f(f(y,f(f(x,z),y)),x),f(u,x))),f(x,z)),f(c_0,f(f(x,f(x,z)),z))) = f(x,z). [back_rewrite(19216),rewrite(19222(5))]. 21388 f(f(c_0,f(x,f(y,x))),y) = c_0. [back_rewrite(18121),rewrite(19222(3))]. 21405 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(18102),rewrite(19222(7))]. 21412 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(18095),rewrite(19222(5),19222(11))]. 21413 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(18093),rewrite(19222(5),19222(12))]. 21751 f(f(f(x,y),f(c_0,f(x,y))),y) = f(y,y). [back_rewrite(17147),rewrite(19222(5))]. 21790 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(17044),rewrite(19222(8))]. 21797 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(17030),rewrite(19222(6),19222(17))]. 21830 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(16968),rewrite(19222(7),19222(18))]. 21914 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(16795),rewrite(19222(8))]. 21944 f(f(x,x),f(f(f(x,x),y),f(c_0,f(f(y,f(f(z,x),y)),x)))) = x. [back_rewrite(16747),rewrite(19222(7))]. 21945 f(f(x,x),f(f(f(x,x),y),f(c_0,f(f(y,f(f(x,z),y)),x)))) = x. [back_rewrite(16746),rewrite(19222(7))]. 22411 f(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(f(c_0,f(x,y)),z),f(f(f(z,f(f(f(x,y),u),z)),f(x,y)),x)),f(x,y))) = f(x,y). [back_rewrite(14831),rewrite(19222(8),19222(20))]. 22420 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(14783),rewrite(19222(8),19222(20))]. 22421 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(14777),rewrite(19222(10),19222(24))]. 22437 f(x,f(c_0,f(f(f(y,f(x,y)),c_0),f(z,z)))) = c_0. [back_rewrite(14555),rewrite(19222(3))]. 22612 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(11449),rewrite(19222(5),19222(16))]. 23114 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),v)))) = f(z,x). [back_rewrite(2765),rewrite(19222(5),19222(14))]. 23189 f(x,f(f(x,y),f(c_0,f(z,f(x,x))))) = f(x,x). [back_rewrite(11051),rewrite(19228(5),12616(3))]. 23245 f(f(x,y),f(c_0,f(x,y))) = c_0. [back_rewrite(14294),rewrite(21751(9),19102(5)),flip(a)]. 23331 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,v)))) = x. [back_rewrite(20061),rewrite(22420(15))]. 23456 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(20080),rewrite(22612(11))]. 23459 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(19758),rewrite(22612(23))]. 23487 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(20459),rewrite(23245(6))]. 23529 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). [para(19857(a,1),19889(a,1,2,2,2,1,2)),rewrite(21945(12),19222(13),14387(15))]. 23534 f(f(x,y),c_0) = f(c_0,f(x,y)). [para(14382(a,1),2286(a,1,2)),rewrite(13294(7,R),14553(5))]. 23548 f(x,f(c_0,f(f(c_0,f(y,f(x,y))),f(z,z)))) = c_0. [back_rewrite(22437),rewrite(23534(5))]. 23653 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(21413),rewrite(23534(7),23534(14),14553(15),23534(14))]. 23654 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(21412),rewrite(23534(7),23534(13),14553(14))]. 23659 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(21405),rewrite(23534(13))]. 23776 f(f(x,y),f(c_0,f(y,x))) = c_0. [back_rewrite(19697),rewrite(23534(4))]. 23890 f(f(c_0,f(x,f(y,x))),f(c_0,f(y,x))) = c_0. [back_rewrite(19139),rewrite(23534(7))]. 23891 f(f(c_0,f(x,f(x,y))),f(c_0,f(x,y))) = c_0. [back_rewrite(19138),rewrite(23534(7))]. 23905 f(f(c_0,f(x,f(y,y))),f(c_0,f(y,f(z,z)))) = c_0. [back_rewrite(19039),rewrite(23534(4))]. 23970 f(f(x,y),f(c_0,f(y,f(z,f(y,f(x,y)))))) = f(y,f(x,y)). [back_rewrite(20387),rewrite(23890(9))]. 23972 f(f(x,y),f(c_0,f(x,f(z,f(x,f(x,y)))))) = f(x,f(x,y)). [back_rewrite(20369),rewrite(23891(9))]. 24065 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(14431(a,1),23529(a,1,2,2,1,2,2,1,2)),rewrite(13294(6,R),13294(14,R),19221(18),14553(18))]. 24269 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(19875(a,1),19222(a,1,1)),rewrite(19875(30)),flip(a)]. 24352 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(21790(a,1),20(a,1,1)),rewrite(13294(22,R))]. 24388 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(21790(a,1),19222(a,1,1)),rewrite(21790(35)),flip(a)]. 24496 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(21790(a,1),19304(a,1,1)),rewrite(21790(24),24388(13))]. 24716 f(f(x,y),f(x,f(y,x))) = x. [para(23776(a,1),19857(a,1,2,2,2,1,2)),rewrite(14383(6),19221(8),14553(8),19222(5),14553(7))]. 24735 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(19924(a,1),23776(a,1,1))]. 25060 f(f(x,y),f(f(c_0,f(x,y)),z)) = f(c_0,f(x,y)). [para(16159(a,1),2285(a,1,1))]. 25061 f(f(x,y),f(z,f(c_0,f(x,y)))) = f(c_0,f(x,y)). [para(16159(a,1),2286(a,1,1))]. 25069 f(f(c_0,f(x,f(y,z))),f(c_0,f(y,z))) = c_0. [para(16159(a,1),14382(a,1,2,2)),rewrite(13294(5,R))]. 25073 f(f(c_0,f(x,y)),f(c_0,f(z,f(x,y)))) = c_0. [para(16159(a,1),14429(a,1,2,2,2))]. 25268 f(f(f(x,f(x,y)),y),f(c_0,f(x,y))) = c_0. [para(19231(a,1),14383(a,1,2,2)),rewrite(13294(11,R),14553(7))]. 25298 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(19231(a,1),19222(a,1,1)),rewrite(19231(18)),flip(a)]. 26283 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(24735(a,1),19889(a,1,2,2,2,1,2)),rewrite(14383(16),19221(18),14553(18),19222(15),14553(17))]. 27082 f(f(f(x,f(x,y)),y),x) = f(x,f(x,y)). [para(25268(a,1),19857(a,1,2,2,2,1,2)),rewrite(13294(8,R),25069(11),19221(10),14553(10),19228(9),13294(6),13333(6))]. 27096 f(f(x,f(y,f(y,x))),f(c_0,f(y,x))) = c_0. [para(25268(a,1),23659(a,1,2,2,2,2,2,1,2)),rewrite(13294(11,R),25069(14),19221(13),14553(13),19228(12),13294(9),13333(9),19221(7),10878(7))]. 27248 f(f(f(x,f(y,x)),f(f(y,f(x,y)),f(y,x))),x) = f(x,f(y,x)). [para(20687(a,1),27082(a,1,1,1,2)),rewrite(20687(13))]. 27765 f(f(f(f(x,f(y,f(y,x))),f(f(y,f(y,x)),x)),x),f(x,f(y,x))) = x. [para(27096(a,1),19909(a,1,2,2,2,1,2)),rewrite(14383(13),19221(15),14553(15),19222(12),14553(14))]. 28455 f(f(f(x,f(y,x)),f(x,z)),f(x,x)) = c_0. [para(19248(a,1),14383(a,1,2,2)),rewrite(13294(13,R),14553(8),13294(6))]. 28468 f(f(x,f(x,y)),f(c_0,f(f(x,y),f(x,z)))) = x. [para(19221(a,1),19248(a,1,1)),rewrite(19221(5),10878(6))]. 28657 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(21914(a,1),19886(a,1,2,2,2,1,2)),rewrite(13294(11,R),13333(11),23189(19),24388(22),19221(24),24496(24),24352(22))]. 28697 f(f(f(f(f(x,f(x,y)),f(y,f(x,f(x,y)))),f(f(x,f(x,y)),y)),y),f(y,f(x,y))) = y. [para(25268(a,1),19886(a,1,2,2,2,1,2)),rewrite(14383(16),19221(18),14553(18),19222(15),14553(17))]. 28706 f(f(f(f(x,f(y,x)),f(x,y)),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(26283(a,1),19886(a,1,2,2,2,1,2)),rewrite(2285(19),19221(19),10879(19),19222(18),14387(20))]. 28714 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(19886(a,1),19886(a,1,2,2,2,1,2)),rewrite(20687(9),19222(6),21944(24),24269(24),19221(25),21797(25),21830(25))]. 28879 f(f(f(x,y),f(x,z)),f(x,x)) = c_0. [para(19221(a,1),28455(a,1,1,1,2)),rewrite(10878(3))]. 28881 f(f(f(x,y),f(y,z)),f(y,y)) = c_0. [para(19222(a,1),28455(a,1,1,1,2)),rewrite(10879(3))]. 28928 f(f(f(x,y),f(z,x)),f(x,x)) = c_0. [para(10879(a,1),28879(a,1,1,2))]. 28992 f(f(f(x,y),f(z,y)),f(y,y)) = c_0. [para(10879(a,1),28881(a,1,1,2))]. 29021 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [para(28881(a,1),21388(a,1,1,2,2)),rewrite(23534(4),13333(4),13294(2))]. 29068 f(f(f(f(f(x,y),f(z,x)),f(f(z,x),f(x,y))),f(x,y)),f(x,f(x,y))) = f(x,y). [para(28928(a,1),19909(a,1,2,2,2,1,2)),rewrite(13294(12,R),19101(14),23534(14),13333(14),14553(15))]. 29427 f(f(f(f(f(x,y),f(f(z,y),f(x,y))),f(f(x,y),f(z,y))),f(z,y)),f(y,f(z,y))) = f(z,y). [para(28992(a,1),19886(a,1,2,2,2,1,2)),rewrite(13294(14,R),19102(16),23534(16),13333(16),14553(17))]. 29481 f(x,f(f(y,f(x,x)),f(z,f(x,x)))) = c_0. [para(13499(a,1),29021(a,1,2,2)),rewrite(13294(3,R),13333(3))]. 29693 f(f(f(x,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(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(23653(a,1),19909(a,1,1,1,1)),rewrite(13294(22,R),23653(40))]. 29712 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(19231(a,1),23653(a,1,2,1,2,2,2)),rewrite(25298(13),19231(32),25298(26))]. 29777 f(x,y) = f(y,x). [para(19222(a,1),23654(a,1,2,2,1)),rewrite(25073(8),19304(5),14389(4))]. 29785 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(19696(a,1),23654(a,1,2,1,2,2,2)),rewrite(29777(10),14553(10),19696(17),29777(14),14553(14),29777(12),29777(13),29777(14))]. 29788 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(21388(a,1),23654(a,1,2,1,1,2)),rewrite(29777(2),29777(10),29777(13),2285(16),29777(7),29777(10),29777(13),29777(16),29777(17),29777(19),29777(22),14387(24),29777(19),29777(22))]. 29789 f(x,f(c_0,f(y,f(y,x)))) = c_0. [para(21388(a,1),23654(a,2)),rewrite(29777(2),29777(7),29777(10),29777(14),29777(17),29777(22),29777(25),29777(28),29777(31),29777(32),29777(34),29777(37),29788(37),29777(26),25060(26),14389(12))]. 29792 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(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))))). [para(23654(a,1),24716(a,1,2,2)),rewrite(29777(12),29777(13),29777(14),29777(15),29785(15),29777(13),29777(14),29777(15),29777(17),29777(30),29777(31),29777(32))]. 29823 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(23654(a,1),19886(a,1,1,1,1,2)),rewrite(29777(12),29777(13),29777(14),29777(16),29777(28),29777(29),29777(30),29777(31),29785(31),29777(18),29792(18),29777(15),29785(15),29777(3),29777(16),29777(17),29777(18),29777(19),29785(19),29777(6),29777(8))]. 29831 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(23654(a,1),23653(a,1,2,1,2,2,2,1)),rewrite(29777(12),29777(13),29777(14),29777(15),29785(15),29777(5),29777(21),29777(22),29777(23),29785(24),29777(11),29777(13),29777(15))]. 29851 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(29712),rewrite(29777(4),29777(5),29777(7),29777(8),29777(9),29777(11),29777(17),29777(18),29777(20),29777(21),29777(22),29777(24),29777(27),29777(29))]. 29858 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(29693),rewrite(29777(4),29777(10),29777(12),29777(14),29777(15),29777(16),29831(16),29777(2),2285(3),29777(2),29777(4),29777(8),29777(9),29777(13))]. 29911 f(f(x,f(x,y)),f(f(z,x),f(x,y))) = f(x,y). [back_rewrite(29427),rewrite(29777(2),29777(4),29777(7),29777(9),19228(9),29777(2),29777(4),29777(6),29777(7))]. 29982 f(f(x,f(x,y)),f(f(x,y),f(x,z))) = f(x,y). [back_rewrite(29068),rewrite(29777(2),29777(4),29777(6),13294(7,R),29777(7),14387(7),29777(6))]. 29986 f(f(x,x),f(f(y,x),f(x,z))) = c_0. [back_rewrite(28992),rewrite(29777(2),29777(5))]. 30023 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(28714),rewrite(29777(2),29777(5),19228(5),29777(2),29777(3),29777(6),19228(6),29777(4),19228(4),29777(3),29777(6),29777(8))]. 30028 f(f(x,y),f(y,f(y,f(f(z,f(c_0,f(x,y))),f(y,f(f(x,y),f(z,f(y,z)))))))) = y # label(false). [back_rewrite(28706),rewrite(29777(1),29777(4),19228(4),29777(3),29777(5),29777(8),29777(9),29777(10),29777(12))]. 30033 f(f(x,f(y,x)),f(x,f(y,f(y,x)))) = x. [back_rewrite(28697),rewrite(29777(9),29777(10),19304(10),29777(3),29777(6))]. 30044 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(28657),rewrite(29777(2),29777(6),19228(6),29777(6),29777(7),29777(10))]. 30259 f(f(x,f(x,y)),f(x,f(y,f(x,y)))) = x. [back_rewrite(27765),rewrite(29777(1),29777(4),29777(6),13294(7,R),29777(6),14387(6),29777(4),29777(6))]. 30355 f(x,f(y,f(x,f(x,y)))) = f(x,f(x,y)). [back_rewrite(27248),rewrite(29777(1),29777(5),29777(6),19304(6),29777(3),29777(4),29777(5))]. 30749 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(24065),rewrite(29777(5),29777(7),29777(12),29777(14),29777(15),29777(17),29777(18))]. 30856 f(x,f(c_0,f(f(y,y),f(c_0,f(z,f(x,z)))))) = c_0. [back_rewrite(23548),rewrite(29777(7))]. 30866 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(23459),rewrite(29777(4),29777(9),29777(12),29858(12),29777(3),29777(5),29777(7),29777(9),29777(12))]. 30868 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(23456),rewrite(29777(2),29777(4),29777(6),29777(8),29777(11),29777(14),30866(14),29777(4),29777(8),29777(9))]. 30895 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(23331),rewrite(29777(5),29777(9),29777(10),29777(12),30868(12),13294(3,R),29777(4),14387(4),29777(3),29777(5),29777(7),29777(9))]. 30935 f(x,f(f(x,y),f(y,f(z,f(x,y))))) = f(x,y). [back_rewrite(23114),rewrite(29777(2),29777(4),29777(6),29777(8),29777(10),29777(11),30895(11),29777(1),29777(4),29777(5),19304(5),29777(2),29777(3),29777(7))]. 31046 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(22421),rewrite(29777(6),29777(8),29777(9),29777(12),29777(13),29777(20),29777(22),29777(23),29777(26),29777(27))]. 31054 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(22411),rewrite(29777(4),29777(6),29777(7),29777(10),29777(11),29777(16),29777(18),29777(19),29777(22),29777(23),29777(26))]. 31228 f(x,f(c_0,f(y,f(x,f(x,y))))) = f(x,y). [back_rewrite(21214),rewrite(29777(2),29777(4),29777(6),29777(7),29777(8),29777(11),30895(11),29777(4))]. 31373 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(19830),rewrite(29777(4),29777(8),29777(9),29777(14),29777(18),29777(19),29777(21),29777(24),30028(24),29777(11))]. 31432 f(f(c_0,c_0),f(f(x,x),f(y,z))) = c_0. [para(14553(a,1),29986(a,1,2,2)),rewrite(13353(5))]. 31434 f(f(c_0,c_0),f(f(x,y),f(z,u))) = c_0. [para(16159(a,1),31432(a,1,2,1))]. 31436 f(x,f(c_0,f(f(x,x),f(y,y)))) = c_0. [para(2387(a,1),19230(a,1,2,2,1)),rewrite(12616(4),13353(4),12616(8))]. 31449 f(x,f(c_0,f(y,x))) = f(y,x). [para(30023(a,1),2285(a,1,2)),rewrite(13353(3,R),29777(3),29777(4))]. 31450 f(f(x,x),f(c_0,f(y,x))) = c_0. [para(30023(a,1),14382(a,1,2,2)),rewrite(13353(3,R),29777(3),29777(5),13353(5),29777(5))]. 31452 f(x,f(x,f(y,x))) = f(y,x). [para(30023(a,1),19228(a,1,2,2)),rewrite(30023(11),29777(2))]. 31465 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(29858(a,1),29823(a,1,2,2,2,2,2)),rewrite(29777(7),29777(9),13353(20,R),29777(17),29777(26))]. 31478 f(f(c_0,f(x,y)),f(f(x,y),f(z,u))) = f(x,y). [para(31434(a,1),29823(a,1,2,2,2,2,2)),rewrite(13353(9,R),29777(9),2285(10),29777(11),12616(11),29777(8),14553(9),29777(7))]. 31492 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(20(a,1),30868(a,1,2,1,2,2)),rewrite(29777(3),13353(3),20(7),29777(6),20(14))]. 31504 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(31373(a,1),29777(a,2)),rewrite(29777(6),29777(8),29777(11))]. 31513 f(x,f(c_0,f(f(x,x),f(y,z)))) = c_0. [para(16159(a,1),31436(a,1,2,2,2))]. 31674 f(f(x,y),f(x,f(z,f(z,f(x,y))))) = x # label(false). [para(31492(a,1),30023(a,1,2,2,2,2,2)),rewrite(29777(3),29777(4),29777(10),29777(11),29777(12),29777(17),29777(18),13353(23,R),29777(18),14387(19),29777(17),29777(18),29777(23),29777(24),29777(25),29982(25),29777(19),31478(19),29777(11),30895(11),29777(1),29777(2)),flip(a)]. 31684 f(x,f(f(x,y),f(z,f(x,z)))) = f(x,y) # label(false). [para(20(a,1),31674(a,1,1)),rewrite(29777(1),29777(2),29777(4),2285(4),29777(2),29777(6))]. 31688 f(f(x,y),f(y,f(z,f(z,f(x,y))))) = y # label(false). [para(29777(a,1),31674(a,1,1)),rewrite(29777(2))]. 31689 f(f(x,f(y,f(y,f(x,z)))),f(c_0,f(x,f(x,z)))) = c_0 # label(false). [para(31674(a,1),29789(a,1,2,2,2)),rewrite(29777(7))]. 31690 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(29823(a,1),31674(a,1,2,2,2)),rewrite(29777(13),29777(15))]. 31718 f(f(x,x),f(f(x,y),f(z,f(x,x)))) = f(z,f(x,x)). [para(14382(a,1),31684(a,1,2,2,2)),rewrite(29777(3),29777(8),14553(8),29777(5),29777(8))]. 31719 f(x,f(f(x,y),f(z,f(x,x)))) = f(x,y). [para(14429(a,1),31684(a,1,2,2,2)),rewrite(29777(7),14553(7))]. 31735 f(x,f(f(x,y),f(f(x,x),f(z,u)))) = f(x,y). [para(31513(a,1),31684(a,1,2,2,2)),rewrite(29777(8),14553(8))]. 31774 f(x,f(f(x,x),f(y,z))) = f(x,x). [para(31513(a,1),30355(a,1,2,2,2)),rewrite(13353(7),29777(7),14387(7),31513(10),13353(6))]. 31781 f(f(x,x),f(f(c_0,f(x,y)),f(f(x,x),f(z,u)))) = x. [para(31774(a,1),23487(a,1,1)),rewrite(31774(10),13333(8),29777(6),29777(8),31774(14),13333(12))]. 31802 f(f(x,x),f(c_0,f(y,f(c_0,f(z,x))))) = c_0. [para(20(a,1),23905(a,1,2,2)),rewrite(13353(4,R),29777(4),29777(8),13353(8),29777(8))]. 31818 f(f(x,y),f(y,f(z,f(c_0,f(x,y))))) = y. [back_rewrite(30749),rewrite(31802(16),29777(10),14553(10),10878(8))]. 31857 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(31228(a,1),31688(a,1,1)),rewrite(31228(12),29777(10))]. 31879 f(f(c_0,f(x,y)),f(f(x,f(x,y)),f(z,f(x,z)))) = c_0 # label(false). [para(30033(a,1),31689(a,1,1,2,2,2)),rewrite(29777(1),29777(3),29777(7),29777(9),29777(11),30259(14),29777(9),10878(9),29777(9))]. 31893 f(f(x,y),f(x,f(z,f(c_0,f(x,y))))) = x. [para(19228(a,1),31719(a,1,2,1)),rewrite(13353(4,R),29777(4),19228(11))]. 32146 f(f(x,y),f(x,f(z,f(x,f(x,y))))) = x. [para(23970(a,1),31893(a,1,2,2)),rewrite(29777(1),29777(5),10878(7),29777(6))]. 32176 f(f(x,f(y,x)),f(c_0,f(f(y,x),f(x,z)))) = x. [para(23970(a,1),23972(a,1,2,2,2,2,2)),rewrite(23970(8),19304(8),29777(5),23970(17),19304(12))]. 32473 f(f(x,f(x,y)),f(x,f(z,f(x,y)))) = x. [para(10878(a,1),32146(a,1,2,2,2))]. 32551 f(c_0,f(f(x,y),f(x,z))) = f(x,f(f(x,y),f(x,z))). [para(28468(a,1),20(a,1,1)),rewrite(13353(11,R),29777(7),14553(7)),flip(a)]. 32564 f(f(x,x),f(c_0,f(f(x,y),f(x,z)))) = x. [para(28468(a,1),31449(a,1,2,2)),rewrite(29777(7),13353(7),29777(7),28468(15))]. 32598 f(f(c_0,f(x,y)),f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(20(a,1),32564(a,1,2,2,1)),rewrite(13353(3,R),29777(3),29777(6))]. 32634 f(f(x,f(y,x)),f(x,f(z,f(y,x)))) = x. [para(20(a,1),29911(a,1,1,2)),rewrite(29777(2),20(7),29777(5),20(9))]. 32717 f(x,f(f(y,f(y,x)),f(z,x))) = f(z,x) # label(false). [para(31504(a,1),30023(a,1,2,2,2,2,2)),rewrite(13353(21,R),29777(17),14387(18),29777(24),32634(24),29777(17),13353(17),29777(17),2285(17),29777(11),31504(11)),flip(a)]. 32793 f(c_0,f(x,f(f(x,y),f(x,z)))) = f(f(x,y),f(x,z)). [para(28468(a,1),32634(a,1,2,2)),rewrite(23245(9),29777(5))]. 33023 f(x,f(c_0,f(y,f(c_0,f(z,f(x,z)))))) = c_0. [para(20(a,1),30856(a,1,2,2,1))]. 33582 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(30044(a,1),31674(a,1,2,2,2)),rewrite(29777(15),29777(17))]. 34643 f(c_0,f(x,f(f(y,x),f(x,z)))) = f(f(y,x),f(x,z)). [para(32176(a,1),32634(a,1,2,2)),rewrite(23245(9),29777(5))]. 34802 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(31857(a,1),31879(a,1,2,1,2)),rewrite(31857(12),14553(7),29777(12),29777(14))]. 37408 f(f(c_0,f(x,y)),f(f(x,x),f(z,u))) = f(x,y). [para(31781(a,1),30935(a,1,2,2,2)),rewrite(29777(14),31774(14),29777(12),31781(12),29777(4),14387(4)),flip(a)]. 37409 f(f(x,y),f(c_0,f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(31781(a,1),29851(a,1,2,1,2,2,1)),rewrite(37408(7),37408(14),37408(16),2285(11),29777(9),2285(10),29777(7),13353(7),12616(7),29777(7),14553(8),13353(11,R),29777(9),37408(18),2285(13),37408(19),37408(21),2285(16),29777(14),2285(15),29777(12),13353(12),12616(12),29777(13),2285(13),29777(6))]. 37473 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(33582),rewrite(37409(16),29777(13))]. 37498 f(f(x,x),f(f(y,z),f(c_0,f(x,u)))) = x. [para(20(a,1),37408(a,1,1,2)),rewrite(29777(2),13353(2),29777(2),29777(3),13353(4,R),29777(4),29777(6),29777(8),29777(10),2285(10))]. 37500 f(f(x,f(y,y)),f(c_0,f(y,z))) = f(y,z). [para(20(a,1),37408(a,1,2,2)),rewrite(29777(5),29777(6))]. 37502 f(f(x,y),f(f(x,y),f(f(x,x),f(z,u)))) = f(f(x,x),f(z,u)). [para(37408(a,1),19304(a,1,1)),rewrite(37408(11),29777(6))]. 37597 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(31690),rewrite(37500(14),29777(10))]. 37634 f(f(x,x),f(y,f(c_0,f(x,z)))) = x. [para(20(a,1),37498(a,1,2,1))]. 37644 f(f(x,x),f(f(c_0,f(x,y)),f(c_0,f(z,u)))) = x. [para(23487(a,1),37498(a,1,2,1)),rewrite(29777(8))]. 37701 f(x,f(c_0,f(y,f(c_0,f(x,z))))) = f(y,f(c_0,f(x,z))). [para(37634(a,1),20(a,1,1)),rewrite(13353(9,R),29777(6))]. 37703 f(f(x,f(y,y)),f(c_0,f(z,y))) = f(z,y). [para(20(a,1),37634(a,1,2,2,2)),rewrite(13353(3,R),29777(3),29777(5),13353(5),29777(6))]. 37706 f(f(x,f(c_0,f(y,z))),f(c_0,f(u,f(y,z)))) = f(u,f(y,z)). [para(16159(a,1),37634(a,1,2,2,2)),rewrite(13353(5,R),29777(4),29777(9))]. 37728 f(f(x,y),f(x,f(x,f(c_0,f(y,z))))) = x. [para(37634(a,1),32473(a,1,2,2)),rewrite(29777(7))]. 37763 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(31465),rewrite(37706(11),37701(11),31449(18))]. 37998 f(f(x,x),f(y,f(c_0,f(z,x)))) = x. [para(20(a,1),37500(a,1,2,2)),rewrite(13353(3,R),29777(3),29777(6),13353(6),29777(6),20(9))]. 37999 f(f(x,y),f(c_0,f(z,f(x,x)))) = f(z,f(x,x)). [para(37500(a,1),2285(a,1,2)),rewrite(13353(5,R),29777(4),29777(6))]. 38125 f(f(x,y),f(x,f(x,f(c_0,f(z,y))))) = x. [para(37998(a,1),32473(a,1,2,2)),rewrite(29777(7))]. 38268 f(f(x,x),f(y,f(f(z,x),f(x,u)))) = x. [para(32176(a,1),37703(a,1,2,2)),rewrite(13353(11,R),29777(7),14553(7),29777(6),13353(6),29777(6),32176(14))]. 38549 f(f(x,f(y,z)),f(x,f(x,f(z,z)))) = x. [para(20(a,1),37728(a,1,2,2,2,2)),rewrite(29777(4),13353(4))]. 38552 f(f(x,f(x,f(y,y))),f(x,f(y,z))) = x. [para(19228(a,1),37728(a,1,2,2,2,2)),rewrite(29777(4),13353(4),29777(6))]. 38647 f(f(x,f(x,y)),f(x,f(f(y,y),f(z,u)))) = x. [para(31774(a,1),38125(a,1,2,2,2,2)),rewrite(13333(7),29777(7))]. 38775 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(29777(a,1),37473(a,1,1)),rewrite(29777(6),29777(7),29777(13),29777(14))]. 39044 f(f(x,y),f(x,f(x,f(f(z,y),f(y,u))))) = x. [para(38268(a,1),32473(a,1,2,2)),rewrite(29777(7))]. 40607 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(38775(a,1),37597(a,1,1,2,2)),rewrite(29777(2),29777(8),29777(9),37502(9),31452(6),29777(3),13353(11,R),29777(11),13333(11),29777(9),31735(9),29777(14),13353(22,R),29777(22),13333(22),29777(20),31735(20))]. 41113 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(37634(a,1),40607(a,1,1)),rewrite(29777(4),13353(11,R),29777(9),14553(9),13353(12,R),29777(10),14553(10),13353(14,R),29777(12),14553(12),2285(9),29777(7),29777(16))]. 42007 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(41113(a,1),38549(a,1,1)),rewrite(29777(7),29777(9),29777(13),29777(15),13353(17,R),29777(12))]. 42072 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(29777(a,1),42007(a,1,1,2,2)),rewrite(29777(6),29777(9))]. 42342 f(x,f(f(x,y),f(y,z))) = f(x,y). [para(39044(a,1),31674(a,1,2)),rewrite(29777(4))]. 42446 f(x,f(x,f(y,f(c_0,f(z,x))))) = f(y,f(c_0,f(z,x))). [para(42072(a,1),19228(a,1,2,2)),rewrite(42072(15),29777(5))]. 42591 f(x,f(y,f(x,f(z,y)))) = f(x,f(z,y)). [para(20(a,1),42342(a,1,2,2)),rewrite(29777(3))]. 42592 f(x,f(y,f(x,f(y,z)))) = f(x,f(y,z)). [para(19228(a,1),42342(a,1,2,2)),rewrite(29777(3))]. 42745 f(x,f(f(x,y),f(z,f(c_0,f(y,u))))) = f(x,y). [para(41113(a,1),42342(a,1,2,2))]. 42848 f(x,f(y,f(x,f(x,f(y,y))))) = f(x,x). [para(38552(a,1),42591(a,1,2)),flip(a)]. 43191 f(x,f(y,f(y,f(x,x)))) = f(x,f(y,y)). [para(42848(a,1),42592(a,1,2)),flip(a)]. 43352 f(f(x,x),f(y,f(x,y))) = f(f(x,x),f(y,y)). [para(20(a,1),43191(a,1,2,2,2)),rewrite(29777(2))]. 43359 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(43191(a,1),31684(a,1,2,2,2)),rewrite(29777(7))]. 43507 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(20(a,1),43359(a,1,2,1)),rewrite(13353(7,R),29777(7),29777(10),20(15))]. 43584 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(20(a,1),43507(a,1,2,2,2,2)),rewrite(29777(10),29777(11))]. 45450 f(f(x,y),f(x,f(c_0,f(y,z)))) = f(c_0,f(x,y)). [para(42745(a,1),42592(a,1,2)),rewrite(13353(3,R),29777(3)),flip(a)]. 46963 f(f(x,f(x,y)),f(y,y)) = f(f(x,x),f(y,y)). [para(43352(a,1),29777(a,2)),rewrite(29777(1),29777(7))]. 46975 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(31818(a,1),43352(a,1,2,2)),rewrite(13353(3,R),29777(3),29777(9),42446(9),13353(11,R),29777(11),13353(22,R),29777(18)),flip(a)]. 48115 f(f(x,y),f(y,f(z,f(x,x)))) = f(c_0,f(y,f(z,f(x,x)))). [para(37703(a,1),45450(a,1,2)),rewrite(29777(3),29777(4),29777(5),29777(9))]. 48799 f(f(c_0,f(x,y)),f(f(z,z),f(x,x))) = f(x,y). [para(46963(a,1),37500(a,1,1)),rewrite(29777(7))]. 48841 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(42342(a,1),46963(a,1,1,2)),rewrite(13353(9,R),29777(7),13353(16,R),29777(14))]. 50773 f(f(x,x),f(f(c_0,f(x,y)),f(f(z,u),f(z,v)))) = x. [para(32551(a,1),37644(a,1,2,2,2)),rewrite(32793(10))]. 51177 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(37644(a,1),32598(a,1,2,2,2)),rewrite(29777(14),29777(16))]. 51190 f(f(c_0,f(x,y)),f(c_0,f(y,z))) = f(x,f(c_0,f(y,z))). [para(45450(a,1),32598(a,1,2,2,2)),rewrite(29777(14),51177(16))]. 51203 f(x,f(c_0,f(y,f(z,f(x,y))))) = f(x,y). [para(32598(a,1),48799(a,1,1,2)),rewrite(13353(11,R),29777(9),14553(9),29777(6),31478(7),51190(10)),flip(a)]. 51255 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(46975),rewrite(51190(11)),flip(a)]. 52393 f(x,f(c_0,f(y,f(z,f(y,x))))) = f(y,x). [para(51203(a,1),29777(a,2)),rewrite(29777(2),29777(6),29777(7))]. 52427 f(f(x,x),f(c_0,f(f(x,y),f(z,u)))) = f(f(x,x),f(z,u)). [para(37408(a,1),51203(a,1,2,2,2)),rewrite(29777(5))]. 52457 f(f(c_0,f(x,y)),f(c_0,f(x,f(c_0,f(z,u))))) = f(f(c_0,f(x,y)),f(c_0,f(z,u))). [para(37644(a,1),51203(a,1,2,2,2)),rewrite(29777(8))]. 52634 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(48841),rewrite(52427(15))]. 53124 f(x,f(c_0,f(y,z))) = f(z,f(c_0,f(x,y))). [para(37998(a,1),52393(a,1,2,2,2)),rewrite(29777(5),51190(7))]. 53320 f(f(x,x),f(c_0,f(y,f(x,z)))) = f(y,f(x,x)). [para(20(a,1),53124(a,1,2,2)),rewrite(29777(2),13353(2),29777(5)),flip(a)]. 53335 f(f(x,y),f(c_0,f(z,f(y,f(x,y))))) = f(z,f(y,y)). [para(19304(a,1),53124(a,2,2,2)),rewrite(29777(5),29777(9),13353(9))]. 53533 f(x,f(c_0,f(y,f(c_0,f(z,f(x,y)))))) = c_0. [para(53124(a,2),33023(a,1,2,2)),rewrite(29777(4))]. 53694 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(53124(a,2),34802(a,1,2,2)),rewrite(29777(1),29777(4),29777(8),29777(10),29777(11),19304(11),29777(8),13353(8),29777(9))]. 54084 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(53124(a,1),43584(a,1,2,2,2,2)),rewrite(29777(7))]. 54427 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(53124(a,2),32551(a,2,2,1)),rewrite(29777(7),29777(10),29777(14))]. 55987 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(20(a,1),53694(a,1,2,1,2)),rewrite(29777(12))]. 56007 f(f(f(x,y),f(x,f(y,y))),f(x,f(f(y,y),f(x,f(y,y))))) = c_0. [para(31718(a,1),53694(a,1,2,2)),rewrite(13353(8,R),29777(8),13333(8),29777(10))]. 56407 f(x,f(c_0,f(y,f(c_0,f(z,f(y,x)))))) = c_0. [para(53533(a,1),29777(a,1)),rewrite(29777(4),29777(9)),flip(a)]. 57035 f(x,f(c_0,f(y,f(y,f(f(x,y),f(y,z)))))) = c_0. [para(32551(a,1),56407(a,1,2,2,2)),rewrite(29777(3),29777(4))]. 57602 f(f(c_0,f(x,y)),f(c_0,f(x,f(z,u)))) = f(y,f(c_0,f(x,f(z,u)))). [para(38549(a,1),53320(a,1,2,2,2)),rewrite(13353(5,R),29777(4),29777(6),29777(8),13353(13,R),29777(12))]. 57941 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))))). [back_rewrite(52457),rewrite(57602(10)),flip(a)]. 59092 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(57035(a,1),37763(a,1,2,2)),rewrite(10878(14),29777(14),34643(14),29777(12),57035(20))]. 59633 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(41113(a,1),32793(a,1,2,2,1)),rewrite(29777(7),41113(21),29777(15))]. 59825 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(32717(a,1),54084(a,1,2,2,1)),rewrite(29777(3),29777(5),29777(6),29777(8),46963(13),37999(14),37502(13),29777(11))]. 59877 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(20(a,1),59825(a,1,1,2)),rewrite(29777(4),13353(7,R),29777(7),13353(11,R),29777(11),51255(13),20(17))]. 64195 f(f(x,x),f(y,f(z,f(z,f(x,y))))) = f(f(x,x),f(y,y)) # label(false). [para(59877(a,1),53320(a,1,2,2)),rewrite(29777(3),13353(3),29777(9)),flip(a)]. 64785 f(f(x,y),f(x,f(y,y))) = f(c_0,f(x,f(y,f(x,y)))). [para(31450(a,1),31046(a,1,2,2,2,2,2,2)),rewrite(31450(7),29777(7),13333(7),29777(5),53335(8),31450(9),31450(12),29777(9),13333(9),29777(7))]. 64786 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(29481(a,1),31046(a,1,2,2,2,2,2,2)),rewrite(14429(9),13353(9),29777(9),53335(12),13353(5,R),29777(5),13333(5),29777(4),64785(4),14429(10),29777(13),29481(14),13353(10),29777(10)),flip(a)]. 64808 f(f(c_0,f(x,f(y,f(x,y)))),f(x,f(f(y,y),f(x,f(y,y))))) = c_0. [back_rewrite(56007),rewrite(64785(4))]. 65255 f(f(x,f(y,f(y,f(x,z)))),f(z,z)) = f(f(x,x),f(z,z)) # label(false). [para(64195(a,1),29777(a,2)),rewrite(29777(1),29777(9))]. 65573 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(59092(a,1),65255(a,1,1,2,2)),rewrite(29777(7),52634(8),13353(14,R),29777(10),13353(16,R),29777(15),13353(26,R),29777(22),57941(23),57035(21),13330(16))]. 65974 f(x,f(f(y,y),f(x,f(y,y)))) = f(x,f(y,f(x,y))). [para(55987(a,1),31054(a,1,1,2,2,2,2,2)),rewrite(64786(7),13353(13),12616(13),29777(13),64786(13),14387(12),29777(10),25061(10),64786(17),55987(33),13353(23),12616(23),29777(23),64786(23),14387(22),29777(20),25061(20),29777(16),64808(16),29777(7),14553(7)),flip(a)]. 66811 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(20(a,1),65573(a,1,1,1)),rewrite(29777(5),29777(7))]. 68331 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(66811(a,1),53124(a,1)),rewrite(29777(10),29777(12)),flip(a)]. 73880 f(f(c_0,f(x,y)),f(f(z,u),f(z,v))) = f(y,f(c_0,f(x,f(f(z,u),f(z,v))))). [para(50773(a,1),51203(a,1,2,2,2)),rewrite(29777(8),57941(10),14387(8)),flip(a)]. 79164 f(c_0,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(68331(a,1),65974(a,2,2,2)),rewrite(13353(16,R),29777(12),32793(12),13353(25,R),29777(21),32793(21),73880(19),32793(18),48115(16),23245(16),29777(7),14553(7),29777(15),32793(15),73880(13),32793(12),48115(10)),flip(a)]. 79187 f(x,f(f(x,y),f(x,f(z,z)))) = f(x,f(z,f(x,y))) # label(false). [para(79164(a,2),14387(a,1,2,2)),rewrite(14553(8))]. 79209 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(38647(a,1),79164(a,1,2,2,2)),rewrite(13353(5,R),29777(5),13353(11,R),29777(11),13353(14,R),29777(14),29777(16),23245(16),29777(13),14553(13),29777(11))]. 79270 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(54427),rewrite(79209(8)),flip(a)]. 79275 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(59633),rewrite(79270(8)),flip(a)]. 79721 f(x,f(y,f(x,f(z,z)))) = f(x,f(z,f(x,f(y,y)))) # label(false). [para(53320(a,2),79187(a,1,2,1)),rewrite(29777(9),79275(9),2285(6),29777(4),14387(7))]. 79722 $F # answer(MOD_SS). [resolve(79721,a,3,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=1965. Generated=5775237. Kept=79720. proofs=1. Usable=928. Sos=18841. Demods=19444. Limbo=7, Disabled=59945. Hints=0. Weight_deleted=572380. Literals_deleted=0. Forward_subsumed=4637002. Back_subsumed=10331. Sos_limit_deleted=486135. Sos_displaced=6506. Sos_removed=0. New_demodulators=79075 (3 lex), Back_demodulated=43106. Back_unit_deleted=0. Demod_attempts=285203226. Demod_rewrites=47883787. Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0. Nonunit_fsub_feature_tests=0. Nonunit_bsub_feature_tests=0. Megabytes=46.25. User_CPU=929.83, System_CPU=1.86, Wall_clock=938. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED Exiting with 1 proof. Process 27534 exit (max_proofs) Wed Sep 13 15:34:23 2006