TSTP Solution File: GRP666-2 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP666-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:20:27 EDT 2022
% Result : Unsatisfiable 67.83s 68.19s
% Output : Refutation 67.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP666-2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 15:47:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 7.71/8.06 ============================== Prover9 ===============================
% 7.71/8.06 Prover9 (32) version 2009-11A, November 2009.
% 7.71/8.06 Process 11291 was started by sandbox on n023.cluster.edu,
% 7.71/8.06 Mon Jun 13 15:47:06 2022
% 7.71/8.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10918_n023.cluster.edu".
% 7.71/8.06 ============================== end of head ===========================
% 7.71/8.06
% 7.71/8.06 ============================== INPUT =================================
% 7.71/8.06
% 7.71/8.06 % Reading from file /tmp/Prover9_10918_n023.cluster.edu
% 7.71/8.06
% 7.71/8.06 set(prolog_style_variables).
% 7.71/8.06 set(auto2).
% 7.71/8.06 % set(auto2) -> set(auto).
% 7.71/8.06 % set(auto) -> set(auto_inference).
% 7.71/8.06 % set(auto) -> set(auto_setup).
% 7.71/8.06 % set(auto_setup) -> set(predicate_elim).
% 7.71/8.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 7.71/8.06 % set(auto) -> set(auto_limits).
% 7.71/8.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 7.71/8.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 7.71/8.06 % set(auto) -> set(auto_denials).
% 7.71/8.06 % set(auto) -> set(auto_process).
% 7.71/8.06 % set(auto2) -> assign(new_constants, 1).
% 7.71/8.06 % set(auto2) -> assign(fold_denial_max, 3).
% 7.71/8.06 % set(auto2) -> assign(max_weight, "200.000").
% 7.71/8.06 % set(auto2) -> assign(max_hours, 1).
% 7.71/8.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 7.71/8.06 % set(auto2) -> assign(max_seconds, 0).
% 7.71/8.06 % set(auto2) -> assign(max_minutes, 5).
% 7.71/8.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 7.71/8.06 % set(auto2) -> set(sort_initial_sos).
% 7.71/8.06 % set(auto2) -> assign(sos_limit, -1).
% 7.71/8.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 7.71/8.06 % set(auto2) -> assign(max_megs, 400).
% 7.71/8.06 % set(auto2) -> assign(stats, some).
% 7.71/8.06 % set(auto2) -> clear(echo_input).
% 7.71/8.06 % set(auto2) -> set(quiet).
% 7.71/8.06 % set(auto2) -> clear(print_initial_clauses).
% 7.71/8.06 % set(auto2) -> clear(print_given).
% 7.71/8.06 assign(lrs_ticks,-1).
% 7.71/8.06 assign(sos_limit,10000).
% 7.71/8.06 assign(order,kbo).
% 7.71/8.06 set(lex_order_vars).
% 7.71/8.06 clear(print_given).
% 7.71/8.06
% 7.71/8.06 % formulas(sos). % not echoed (12 formulas)
% 7.71/8.06
% 7.71/8.06 ============================== end of input ==========================
% 7.71/8.06
% 7.71/8.06 % From the command line: assign(max_seconds, 300).
% 7.71/8.06
% 7.71/8.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 7.71/8.06
% 7.71/8.06 % Formulas that are not ordinary clauses:
% 7.71/8.06
% 7.71/8.06 ============================== end of process non-clausal formulas ===
% 7.71/8.06
% 7.71/8.06 ============================== PROCESS INITIAL CLAUSES ===============
% 7.71/8.06
% 7.71/8.06 ============================== PREDICATE ELIMINATION =================
% 7.71/8.06
% 7.71/8.06 ============================== end predicate elimination =============
% 7.71/8.06
% 7.71/8.06 Auto_denials:
% 7.71/8.06 % copying label goals to answer in negative clause
% 7.71/8.06
% 7.71/8.06 Term ordering decisions:
% 7.71/8.06
% 7.71/8.06 % Assigning unary symbol i kb_weight 0 and highest precedence (9).
% 7.71/8.06 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. i=0.
% 7.71/8.06
% 7.71/8.06 ============================== end of process initial clauses ========
% 7.71/8.06
% 7.71/8.06 ============================== CLAUSES FOR SEARCH ====================
% 7.71/8.06
% 7.71/8.06 ============================== end of clauses for search =============
% 7.71/8.06
% 7.71/8.06 ============================== SEARCH ================================
% 7.71/8.06
% 7.71/8.06 % Starting search at 0.01 seconds.
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=77.000, iters=3366
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=71.000, iters=3393
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=68.000, iters=3426
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=61.000, iters=3406
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=59.000, iters=3376
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=57.000, iters=3343
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=55.000, iters=3420
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=53.000, iters=3393
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=52.000, iters=3390
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=51.000, iters=3344
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=49.000, iters=3361
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=48.000, iters=3344
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=47.000, iters=3371
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=46.000, iters=3336
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=45.000, iters=3391
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=44.000, iters=3349
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=43.000, iters=3353
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=42.000, iters=3363
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=41.000, iters=3485
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=40.000, iters=3355
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=39.000, iters=3344
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=38.000, iters=3340
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=37.000, iters=3337
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=36.000, iters=3365
% 7.71/8.06
% 7.71/8.06 Low Water (keep): wt=35.000, iters=3360
% 7.71/8.06
% 7.71/8.06 Low Water (displace): id=7156, wt=197.000
% 7.71/8.06
% 7.71/8.06 Low Water (displace): id=7198, wt=196.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=6380, wt=195.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=6139, wt=191.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=7210, wt=187.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=13855, wt=28.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=13873, wt=26.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=13875, wt=23.000
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=15146, wt=22.000
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=34.000, iters=3346
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=33.000, iters=3333
% 67.83/68.19
% 67.83/68.19 Low Water (displace): id=19047, wt=21.000
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=32.000, iters=3339
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=31.000, iters=3380
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=30.000, iters=3338
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=29.000, iters=3336
% 67.83/68.19
% 67.83/68.19 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 29.09 sec).
% 67.83/68.19
% 67.83/68.19 Low Water (keep): wt=28.000, iters=3346
% 67.83/68.19
% 67.83/68.19 ============================== PROOF =================================
% 67.83/68.19 % SZS status Unsatisfiable
% 67.83/68.19 % SZS output start Refutation
% 67.83/68.19
% 67.83/68.19 % Proof 1 at 66.56 (+ 0.61) seconds: goals.
% 67.83/68.19 % Length of proof is 320.
% 67.83/68.19 % Level of proof is 38.
% 67.83/68.19 % Maximum clause weight is 66.000.
% 67.83/68.19 % Given clauses 834.
% 67.83/68.19
% 67.83/68.19 1 mult(A,unit) = A # label(c05) # label(axiom). [assumption].
% 67.92/68.19 2 mult(unit,A) = A # label(c06) # label(axiom). [assumption].
% 67.92/68.19 3 mult(A,ld(A,B)) = B # label(c01) # label(axiom). [assumption].
% 67.92/68.19 5 mult(rd(A,B),B) = A # label(c03) # label(axiom). [assumption].
% 67.92/68.19 6 rd(mult(A,B),B) = A # label(c04) # label(axiom). [assumption].
% 67.92/68.19 7 mult(i(A),mult(A,B)) = B # label(c10) # label(axiom). [assumption].
% 67.92/68.19 8 mult(mult(A,B),i(B)) = A # label(c11) # label(axiom). [assumption].
% 67.92/68.19 9 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(c09) # label(axiom). [assumption].
% 67.92/68.19 10 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(9),flip(a)].
% 67.92/68.19 11 ld(mult(A,B),mult(A,mult(B,mult(C,D)))) = mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) # label(c07) # label(axiom). [assumption].
% 67.92/68.19 12 mult(ld(mult(A,B),mult(A,mult(B,C))),ld(mult(A,B),mult(A,mult(B,D)))) = ld(mult(A,B),mult(A,mult(B,mult(C,D)))). [copy(11),flip(a)].
% 67.92/68.19 13 rd(mult(mult(mult(A,B),C),D),mult(C,D)) = mult(rd(mult(mult(A,C),D),mult(C,D)),rd(mult(mult(B,C),D),mult(C,D))) # label(c08) # label(axiom). [assumption].
% 67.92/68.19 14 mult(rd(mult(mult(A,B),C),mult(B,C)),rd(mult(mult(D,B),C),mult(B,C))) = rd(mult(mult(mult(A,D),B),C),mult(B,C)). [copy(13),flip(a)].
% 67.92/68.19 15 mult(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 67.92/68.19 16 mult(mult(mult(a,b),a),c) != mult(a,mult(b,mult(a,c))) # answer(goals). [copy(15),flip(a)].
% 67.92/68.19 22 rd(A,ld(B,A)) = B. [para(3(a,1),6(a,1,1))].
% 67.92/68.19 23 mult(i(A),A) = unit. [para(1(a,1),7(a,1,2))].
% 67.92/68.19 25 ld(A,B) = mult(i(A),B). [para(3(a,1),7(a,1,2)),flip(a)].
% 67.92/68.19 28 rd(A,mult(B,A)) = i(B). [para(7(a,1),6(a,1,1))].
% 67.92/68.19 29 i(i(A)) = A. [back_rewrite(22),rewrite([25(1),28(3)])].
% 67.92/68.19 30 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,D)))). [back_rewrite(12),rewrite([25(4),25(9),25(16)])].
% 67.92/68.19 31 mult(mult(i(A),mult(B,A)),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(B,C),A)). [back_rewrite(10),rewrite([25(2),25(5),25(10)])].
% 67.92/68.19 32 mult(A,mult(i(A),B)) = B. [back_rewrite(3),rewrite([25(1)])].
% 67.92/68.19 34 mult(A,i(A)) = unit. [para(2(a,1),8(a,1,1))].
% 67.92/68.19 35 rd(A,B) = mult(A,i(B)). [para(5(a,1),8(a,1,1)),flip(a)].
% 67.92/68.19 36 mult(i(mult(A,B)),A) = i(B). [para(8(a,1),7(a,1,2))].
% 67.92/68.19 38 mult(mult(mult(mult(A,B),C),i(mult(B,C))),mult(mult(mult(D,B),C),i(mult(B,C)))) = mult(mult(mult(mult(A,D),B),C),i(mult(B,C))). [back_rewrite(14),rewrite([35(4),35(9),35(16)])].
% 67.92/68.19 39 mult(mult(A,i(B)),B) = A. [back_rewrite(5),rewrite([35(1)])].
% 67.92/68.19 42 mult(mult(i(A),mult(i(B),mult(mult(B,A),C))),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(C,D)))). [para(7(a,1),30(a,1,1,1,1)),rewrite([7(9),7(16)])].
% 67.92/68.19 45 mult(A,mult(i(mult(B,i(A))),mult(B,mult(i(A),C)))) = mult(i(mult(B,i(A))),mult(B,C)). [para(7(a,1),30(a,2,2,2)),rewrite([23(5),1(5),36(4),29(2)])].
% 67.92/68.19 47 mult(mult(i(A),mult(mult(A,B),mult(i(B),C))),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(C,D)))). [para(8(a,1),30(a,1,1,1,1)),rewrite([8(9),8(16)])].
% 67.92/68.19 52 mult(mult(A,mult(i(mult(B,A)),mult(B,C))),A) = mult(A,mult(i(mult(B,A)),mult(B,mult(C,A)))). [para(23(a,1),30(a,1,2,2)),rewrite([36(3),29(2),36(8),29(7),1(7),36(9),29(8)])].
% 67.92/68.19 54 mult(i(A),mult(i(mult(B,A)),mult(B,mult(A,C)))) = mult(i(mult(B,A)),mult(B,C)). [para(34(a,1),30(a,1,1,2,2)),rewrite([1(4),36(3),32(12)])].
% 67.92/68.19 61 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),mult(i(A),mult(B,mult(mult(i(B),A),D)))) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,D)))). [para(32(a,1),30(a,1,1,1,1)),rewrite([32(9),32(16)])].
% 67.92/68.19 62 mult(mult(i(mult(A,B)),mult(A,C)),mult(i(mult(A,B)),mult(A,mult(B,D)))) = mult(i(mult(A,B)),mult(A,mult(B,mult(mult(i(B),C),D)))). [para(32(a,1),30(a,1,1,2,2))].
% 67.92/68.19 63 mult(mult(i(mult(A,B)),mult(A,mult(B,C))),mult(i(mult(A,B)),mult(A,D))) = mult(i(mult(A,B)),mult(A,mult(B,mult(C,mult(i(B),D))))). [para(32(a,1),30(a,1,2,2,2))].
% 67.92/68.19 64 i(mult(A,B)) = mult(i(B),i(A)). [para(7(a,1),36(a,1,1,1)),flip(a)].
% 67.92/68.19 65 mult(mult(mult(i(A),i(B)),mult(B,mult(A,C))),mult(mult(i(A),i(B)),mult(B,D))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(C,mult(i(A),D))))). [back_rewrite(63),rewrite([64(2),64(8),64(14)])].
% 67.92/68.19 66 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(A),i(B)),mult(B,mult(A,D)))) = mult(mult(i(A),i(B)),mult(B,mult(A,mult(mult(i(A),C),D)))). [back_rewrite(62),rewrite([64(2),64(7),64(14)])].
% 67.92/68.19 71 mult(i(A),mult(mult(i(A),i(B)),mult(B,mult(A,C)))) = mult(mult(i(A),i(B)),mult(B,C)). [back_rewrite(54),rewrite([64(3),64(10)])].
% 67.92/68.19 73 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),A) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(52),rewrite([64(2),64(9)])].
% 67.92/68.19 77 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(45),rewrite([64(3),29(2),64(10),29(9)])].
% 67.92/68.19 79 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),mult(mult(mult(D,B),C),mult(i(C),i(B)))) = mult(mult(mult(mult(A,D),B),C),mult(i(C),i(B))). [back_rewrite(38),rewrite([64(4),64(10),64(18)])].
% 67.92/68.19 82 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(7(a,1),31(a,1,1)),rewrite([32(4)]),flip(a)].
% 67.92/68.19 83 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(mult(i(A),i(B)),A)) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [para(7(a,1),31(a,1,2,2)),rewrite([64(2),64(8),64(13)])].
% 67.92/68.19 87 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(8(a,1),31(a,1,1,2)),rewrite([29(2),29(3),29(7)])].
% 67.92/68.19 88 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(8(a,1),31(a,1,2,2)),rewrite([29(2),29(5),29(7)])].
% 67.92/68.19 95 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(mult(i(A),B),A)) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [para(32(a,1),31(a,1,2,2)),rewrite([64(3),29(3),64(9),29(9),64(13),29(13)])].
% 67.92/68.19 97 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(39(a,1),31(a,1,1,2))].
% 67.92/68.19 98 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(39(a,1),31(a,1,2,2))].
% 67.92/68.19 102 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(64(a,1),7(a,1,1))].
% 67.92/68.19 103 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(64(a,1),8(a,1,2))].
% 67.92/68.19 104 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(64(a,1),23(a,1,1))].
% 67.92/68.19 105 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(64(a,1),34(a,1,2))].
% 67.92/68.19 106 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(64(a,1),32(a,1,2,1))].
% 67.92/68.19 107 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(64(a,1),39(a,1,1,2))].
% 67.92/68.19 109 mult(mult(i(A),B),mult(i(B),A)) = unit. [para(29(a,1),104(a,1,1,2))].
% 67.92/68.19 116 mult(mult(mult(mult(i(A),mult(i(B),i(C))),C),B),mult(i(B),mult(i(C),mult(mult(C,B),mult(A,D))))) = mult(i(B),mult(i(C),mult(mult(C,B),D))). [para(42(a,1),7(a,1,2)),rewrite([64(7),64(5),64(3),64(3),29(7),29(8)])].
% 67.92/68.19 118 mult(mult(A,mult(mult(i(A),i(B)),mult(B,C))),mult(A,mult(mult(i(A),i(B)),mult(B,D)))) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,D)))). [para(8(a,1),42(a,1,1,2,2,1)),rewrite([29(2),64(2),29(8),64(8),8(12),29(15),64(15),8(19)])].
% 67.92/68.19 121 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),mult(A,mult(i(B),mult(mult(B,i(A)),D)))) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,D)))). [para(29(a,1),42(a,1,1,1)),rewrite([29(8),29(15)])].
% 67.92/68.19 122 mult(mult(i(A),i(B)),mult(i(A),mult(i(B),mult(mult(B,A),C)))) = mult(i(A),mult(i(B),C)). [para(34(a,1),42(a,1,1,2,2)),rewrite([1(4),64(15),106(18)])].
% 67.92/68.19 125 mult(mult(i(A),mult(i(B),C)),mult(i(A),mult(i(B),mult(mult(B,A),D)))) = mult(i(A),mult(i(B),mult(mult(B,A),mult(mult(mult(i(A),i(B)),C),D)))). [para(32(a,1),42(a,1,1,2,2)),rewrite([64(16)])].
% 67.92/68.19 149 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(82(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 67.92/68.19 150 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(7(a,1),82(a,1,2,1)),rewrite([29(2)]),flip(a)].
% 67.92/68.19 153 mult(mult(i(A),i(B)),mult(B,mult(B,A))) = mult(i(A),mult(B,A)). [para(8(a,1),82(a,1,2,1)),rewrite([64(2)])].
% 67.92/68.19 154 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(32(a,1),82(a,1,2,1)),flip(a)].
% 67.92/68.19 160 mult(A,mult(mult(mult(i(A),i(B)),mult(B,C)),A)) = mult(A,mult(mult(i(A),i(B)),mult(B,mult(C,A)))). [back_rewrite(73),rewrite([149(7)])].
% 67.92/68.19 161 mult(mult(a,mult(b,a)),c) != mult(a,mult(b,mult(a,c))) # answer(goals). [back_rewrite(16),rewrite([149(5)])].
% 67.92/68.19 167 mult(mult(mult(i(A),B),mult(C,mult(i(B),A))),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(C,B),mult(i(B),A))). [back_rewrite(95),rewrite([154(9)])].
% 67.92/68.19 169 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),mult(i(A),mult(i(B),A))) = mult(mult(i(A),i(B)),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(83),rewrite([154(10)])].
% 67.92/68.19 171 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(149(a,1),7(a,1,2)),rewrite([64(2)])].
% 67.92/68.19 173 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(8(a,1),149(a,1,1)),flip(a)].
% 67.92/68.19 183 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(29(a,1),102(a,1,1,2))].
% 67.92/68.19 189 mult(mult(mult(mult(i(A),B),mult(i(B),i(C))),C),mult(i(C),mult(mult(C,B),mult(i(B),mult(A,D))))) = mult(i(C),mult(mult(C,B),mult(i(B),D))). [para(47(a,1),7(a,1,2)),rewrite([64(7),64(5),64(3),29(3),64(4),29(8)])].
% 67.92/68.19 191 mult(mult(i(A),mult(mult(A,B),C)),mult(i(A),mult(mult(A,B),mult(i(B),D)))) = mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),D)))). [para(7(a,1),47(a,1,1,2,2))].
% 67.92/68.19 193 mult(A,mult(i(B),mult(mult(B,A),mult(i(A),C)))) = mult(i(B),mult(mult(B,A),C)). [para(7(a,1),47(a,2,2,2)),rewrite([23(4),1(4),7(3)])].
% 67.92/68.19 209 mult(mult(mult(i(A),i(B)),mult(mult(B,mult(A,B)),mult(i(B),C))),mult(mult(i(A),i(B)),mult(mult(B,mult(A,B)),mult(i(B),D)))) = mult(mult(i(A),i(B)),mult(mult(B,mult(A,B)),mult(i(B),mult(C,D)))). [para(149(a,1),47(a,1,1,2,1)),rewrite([64(2),64(11),149(14),64(21),149(24)])].
% 67.92/68.19 210 mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(mult(A,C),i(B))),B))) = mult(A,mult(mult(i(A),B),mult(i(B),mult(mult(A,mult(C,i(B))),B)))). [para(149(a,1),47(a,1,1,2)),rewrite([64(3),29(3),32(7),183(6),64(3),29(3),154(5),98(8),64(13),29(13),154(15),98(19)]),flip(a)].
% 67.92/68.19 217 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(29(a,1),103(a,1,2,2))].
% 67.92/68.19 236 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(150(a,1),102(a,1,2,1)),rewrite([29(2),64(2)])].
% 67.92/68.19 239 mult(mult(A,mult(B,i(A))),mult(mult(A,mult(i(B),i(A))),C)) = C. [para(150(a,1),106(a,1,1)),rewrite([29(5),64(5)])].
% 67.92/68.19 262 mult(mult(A,mult(B,C)),mult(A,mult(B,mult(mult(i(B),i(A)),D)))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(A,B),C),D)))). [para(102(a,1),61(a,1,1,2,2)),rewrite([29(2),29(4),29(11)])].
% 67.92/68.19 263 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(A,mult(B,D))) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),D))))). [para(102(a,1),61(a,1,2,2,2)),rewrite([29(2),29(8),29(11)])].
% 67.92/68.19 272 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(B,mult(i(A),mult(B,mult(mult(i(B),A),C)))). [para(150(a,1),61(a,1,1,2,2)),rewrite([29(4),32(5),7(3),29(12)]),flip(a)].
% 67.92/68.19 273 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))). [para(150(a,1),61(a,1,2,2,2)),rewrite([29(10),32(11),7(9),29(12)])].
% 67.92/68.19 276 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(154(a,1),7(a,1,2)),rewrite([64(3),29(3)])].
% 67.92/68.19 280 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(154(a,1),102(a,1,2,1)),rewrite([64(4),29(4)])].
% 67.92/68.19 286 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(154(a,1),150(a,1,1)),rewrite([64(6),29(6),64(11),29(11)])].
% 67.92/68.19 317 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(7(a,1),65(a,2,2,2)),rewrite([29(2),23(4),1(4),39(3),29(2),29(7),29(9)]),flip(a)].
% 67.92/68.19 370 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(A,B),mult(i(B),C))))) = mult(mult(A,B),mult(A,mult(mult(i(A),i(B)),C))). [para(171(a,1),65(a,1,1,2)),rewrite([64(5),29(3),29(3),7(3),64(6),29(4),29(4),7(4),64(12),29(10),29(10),7(10)]),flip(a)].
% 67.92/68.19 411 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(276(a,1),149(a,2,2)),rewrite([286(6),167(10),154(11)])].
% 67.92/68.19 422 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(mult(i(C),i(B)),mult(B,mult(C,mult(mult(i(C),A),D))))) = mult(mult(i(C),i(B)),mult(B,mult(C,D))). [para(66(a,1),7(a,1,2)),rewrite([64(6),64(2),64(7),29(5),29(5)])].
% 67.92/68.19 427 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(23(a,1),66(a,1,2,2,2)),rewrite([29(2),29(6),1(8),39(7),29(7),29(10),149(10),7(11)])].
% 67.92/68.19 444 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),i(A))))) = mult(i(A),mult(mult(mult(A,B),C),i(A))). [para(105(a,1),66(a,1,2,2)),rewrite([29(2),64(2),32(4),29(6),64(6),32(8),1(7),149(6),29(8),64(8),32(10),29(11)]),flip(a)].
% 67.92/68.19 457 mult(mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),D),mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,E)))) = mult(mult(i(A),mult(mult(i(B),i(C)),i(D))),mult(mult(D,mult(C,B)),mult(A,mult(mult(i(A),mult(i(B),i(C))),E)))). [para(103(a,1),66(a,1,1,2)),rewrite([64(4),64(3),64(12),64(11),64(25),64(24)])].
% 67.92/68.19 463 mult(mult(mult(i(A),mult(mult(B,C),i(D))),D),mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,E)))) = mult(mult(i(A),mult(mult(B,C),i(D))),mult(mult(D,mult(i(C),i(B))),mult(A,mult(mult(i(A),mult(B,C)),E)))). [para(107(a,1),66(a,1,1,2)),rewrite([64(6),64(5),29(3),29(3),64(12),64(11),29(9),29(9),64(25),64(24),29(22),29(22)])].
% 67.92/68.19 733 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(71(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 67.92/68.19 738 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(23(a,1),71(a,1,2,2,2)),rewrite([29(2),29(2),1(4),39(3),29(3)]),flip(a)].
% 67.92/68.19 755 mult(mult(A,mult(mult(i(A),i(B)),i(C))),mult(mult(C,mult(B,A)),i(B))) = mult(A,mult(mult(A,mult(mult(i(A),i(B)),i(C))),C)). [para(103(a,1),71(a,1,2,2)),rewrite([29(2),29(2),64(3),64(2),29(10),64(11),64(10)]),flip(a)].
% 67.92/68.19 758 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(71(a,1),150(a,1,1)),rewrite([29(7),733(13),29(15),149(14),160(14),7(15)])].
% 67.92/68.19 779 mult(mult(mult(i(A),B),i(C)),mult(C,mult(i(A),mult(B,A)))) = mult(mult(i(A),B),mult(mult(mult(i(A),B),i(C)),mult(C,A))). [para(276(a,1),71(a,1,2,2,2)),rewrite([64(3),29(3),64(5),29(5),64(12),29(12)]),flip(a)].
% 67.92/68.19 867 mult(mult(mult(i(A),i(B)),mult(B,C)),mult(C,mult(mult(i(C),i(B)),mult(B,mult(mult(i(C),A),D))))) = mult(C,mult(mult(i(C),i(B)),mult(B,D))). [back_rewrite(422),rewrite([733(14),733(21)])].
% 67.92/68.19 890 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(738(a,1),7(a,1,2)),rewrite([64(3),29(2)])].
% 67.92/68.19 891 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(7(a,1),738(a,1,2)),rewrite([29(3),149(2)])].
% 67.92/68.19 893 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(8(a,1),738(a,1,1)),flip(a)].
% 67.92/68.19 895 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(29(a,1),738(a,1,1,2))].
% 67.92/68.19 896 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(39(a,1),738(a,1,2)),rewrite([64(3),29(2)])].
% 67.92/68.19 900 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(738(a,1),106(a,1,2))].
% 67.92/68.19 913 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(891),rewrite([893(6)])].
% 67.92/68.19 914 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(411),rewrite([895(6)])].
% 67.92/68.19 939 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(8(a,1),890(a,1,1)),flip(a)].
% 67.92/68.19 973 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(914),rewrite([939(7)])].
% 67.92/68.19 990 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(939(a,1),8(a,1,1))].
% 67.92/68.19 991 mult(mult(A,mult(i(B),i(B))),B) = mult(A,i(B)). [para(939(a,1),39(a,1,1))].
% 67.92/68.19 1004 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(939(a,1),103(a,1,1)),rewrite([893(3)])].
% 67.92/68.19 1166 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(896(a,1),39(a,1,1)),rewrite([29(4)])].
% 67.92/68.19 1174 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(896(a,1),890(a,1,1)),rewrite([1166(3),29(5)]),flip(a)].
% 67.92/68.19 1255 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1166(a,1),990(a,1,1)),rewrite([1166(7)])].
% 67.92/68.19 1265 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(77(a,1),7(a,1,2)),flip(a)].
% 67.92/68.19 1444 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(893(a,1),1166(a,1,1))].
% 67.92/68.19 1462 mult(mult(mult(mult(A,B),C),mult(i(C),i(B))),B) = mult(mult(mult(A,C),mult(i(C),i(B))),mult(B,B)). [para(34(a,1),79(a,1,2,1)),rewrite([64(3),64(7),64(9),29(7),29(7),8(8),64(9),64(11),29(9),29(9),8(10),2(8),939(7),64(11),64(15),64(17),29(15),29(15),8(16)]),flip(a)].
% 67.92/68.19 1675 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(913(a,1),900(a,1,1)),rewrite([1444(7),900(6)]),flip(a)].
% 67.92/68.19 1803 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(8(a,1),87(a,1,2,2)),flip(a)].
% 67.92/68.19 1806 mult(mult(A,mult(i(B),i(A))),mult(i(C),i(A))) = mult(A,mult(mult(i(B),mult(i(A),i(C))),i(A))). [para(87(a,1),64(a,1,1)),rewrite([64(6),64(5),29(2),64(3),64(3),150(8),64(12),64(11),29(10),150(12),64(14)]),flip(a)].
% 67.92/68.19 1897 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(7(a,1),1174(a,1,1,2)),rewrite([893(9),7(10)])].
% 67.92/68.19 2029 mult(mult(i(A),i(B)),mult(B,mult(i(C),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),i(C)),i(B))). [para(88(a,1),64(a,1,1)),rewrite([64(6),64(5),29(2),64(3),64(2),150(8),64(10),64(15),64(14),29(13),150(15)]),flip(a)].
% 67.92/68.19 2464 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(23(a,1),116(a,1,1,1,1)),rewrite([2(2),106(9)])].
% 67.92/68.19 2496 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(183(a,1),116(a,1,2,2,2)),rewrite([64(3),29(3),29(5),109(5),2(3),29(5),29(9)])].
% 67.92/68.19 2731 mult(i(A),mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(B,mult(mult(i(B),i(A)),C)). [para(34(a,1),118(a,1,1,2,2)),rewrite([1(5),32(4),32(14)])].
% 67.92/68.19 3212 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(7(a,1),1255(a,2,2)),rewrite([893(5),7(6),64(6)])].
% 67.92/68.19 3214 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(32(a,1),1255(a,2,2)),rewrite([893(5),32(6),64(7),29(7)])].
% 67.92/68.19 3217 mult(mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))),mult(i(C),mult(i(A),i(B)))) = mult(mult(i(A),i(B)),C). [para(102(a,1),1255(a,2,2)),rewrite([893(11),102(12),64(10),64(10)])].
% 67.92/68.19 3315 mult(mult(A,mult(i(B),mult(mult(B,i(A)),C))),B) = mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))). [para(149(a,1),121(a,1,2,2,2)),rewrite([7(11),32(9)])].
% 67.92/68.19 3326 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),B) = mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))). [para(154(a,1),121(a,1,2,2,2)),rewrite([29(2),29(8),32(11),32(9),29(9)])].
% 67.92/68.19 3619 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(102(a,1),122(a,1,2,2,2)),rewrite([29(2),29(2),29(3),29(3),29(6),29(6)])].
% 67.92/68.19 3636 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(738(a,1),122(a,1,2,2,2)),rewrite([29(2),29(4),7(5),29(6)])].
% 67.92/68.19 4060 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(104(a,1),125(a,1,2,2,2)),rewrite([29(2),29(2),29(4),29(4),1(4),29(6),29(6),29(9),29(9),149(11),102(12)])].
% 67.92/68.19 7500 mult(mult(mult(i(A),i(B)),i(C)),mult(C,mult(C,mult(B,A)))) = mult(mult(i(A),i(B)),mult(C,mult(B,A))). [para(64(a,1),153(a,1,1,1)),rewrite([64(11)])].
% 67.92/68.19 7515 mult(mult(i(A),i(B)),mult(A,mult(B,A))) = mult(i(A),mult(mult(i(B),mult(A,B)),A)). [para(153(a,1),87(a,2,2,1)),rewrite([29(8),149(7),149(6),7(8),29(12)])].
% 67.92/68.19 7520 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(A,B))),i(B))). [para(88(a,1),153(a,1,2,2)),rewrite([64(2),64(7),64(6),29(5),150(7),2029(8),87(17),39(11),87(15),39(8),7500(9),64(11),88(17)]),flip(a)].
% 67.92/68.19 7957 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3214(a,1),153(a,1,2,2)),rewrite([64(3),29(3),64(7),64(6),64(5),29(5),149(6),1675(8),183(9),4060(9),1897(7),733(10),32(8),7515(6),32(7),64(7),29(7),3214(13),1897(8)])].
% 67.92/68.19 8028 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(8(a,1),3636(a,1,2)),rewrite([29(3),939(2),149(3),1166(2),29(6),8(7)]),flip(a)].
% 67.92/68.19 8394 mult(mult(mult(i(A),i(B)),mult(C,mult(B,A))),C) = mult(mult(i(A),i(B)),mult(C,mult(mult(B,A),C))). [para(103(a,1),8028(a,1,2)),rewrite([103(18),149(13)])].
% 67.92/68.19 10089 mult(mult(i(A),i(B)),mult(B,mult(mult(C,mult(mult(A,B),C)),i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),mult(C,mult(mult(A,B),C))),i(B))). [para(87(a,1),7957(a,2,2,2)),rewrite([64(2),88(8),7520(9),87(13),39(9),8394(7),64(12),87(22),39(16)]),flip(a)].
% 67.92/68.19 10855 mult(mult(i(A),B),mult(mult(mult(mult(i(B),A),C),B),mult(i(B),A))) = mult(mult(C,mult(i(B),A)),mult(i(A),mult(B,A))). [para(149(a,1),167(a,1,1,2)),rewrite([183(9)]),flip(a)].
% 67.92/68.19 11689 mult(mult(i(A),i(B)),mult(mult(mult(mult(B,A),C),i(B)),mult(B,A))) = mult(mult(C,mult(B,A)),mult(i(A),mult(i(B),A))). [para(149(a,1),169(a,1,1,2)),rewrite([102(8)]),flip(a)].
% 67.92/68.19 12163 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(i(C),mult(mult(C,B),mult(i(B),A))). [para(23(a,1),189(a,1,2,2,2,2)),rewrite([29(2),1(11),8(10),23(8),1(8)])].
% 67.92/68.19 12206 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(i(C),mult(mult(C,B),mult(i(B),mult(A,C)))). [back_rewrite(1462),rewrite([12163(7)]),flip(a)].
% 67.92/68.19 12389 mult(mult(i(A),mult(mult(A,B),C)),B) = mult(i(A),mult(mult(A,B),mult(C,B))). [para(23(a,1),191(a,1,2,2,2)),rewrite([1(8),7(7),149(10),7(11)])].
% 67.92/68.19 12416 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(B,C),mult(A,B))))) = mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)). [para(173(a,1),191(a,1,2,2)),rewrite([7(8)]),flip(a)].
% 67.92/68.19 12831 mult(i(A),mult(mult(i(B),i(A)),mult(A,mult(mult(B,mult(C,A)),i(A))))) = mult(mult(i(B),i(A)),mult(mult(A,mult(B,i(A))),C)). [para(150(a,1),193(a,1,2,2,1)),rewrite([64(3),29(9),88(9),64(13),150(17)])].
% 67.92/68.19 12832 mult(A,mult(mult(i(B),A),mult(i(A),mult(mult(B,mult(C,i(A))),A)))) = mult(mult(i(B),A),mult(mult(i(A),mult(B,A)),C)). [para(154(a,1),193(a,1,2,2,1)),rewrite([64(3),29(3),98(8),64(13),29(13),154(15)])].
% 67.92/68.19 16789 mult(mult(i(A),i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),i(A)),C),i(B))). [para(87(a,1),3212(a,1,1,2,2)),rewrite([64(2),87(12),39(6),10089(10),64(14),64(13),29(12),150(14),64(16),1806(18),87(19),39(10),3217(13),64(9)]),flip(a)].
% 67.92/68.19 16796 mult(mult(i(A),i(B)),mult(mult(B,mult(A,i(B))),C)) = mult(mult(i(B),i(A)),mult(A,C)). [back_rewrite(12831),rewrite([16789(10),427(9),8(7),7(8)]),flip(a)].
% 67.92/68.19 16865 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3619(a,1),7(a,1,2)),rewrite([64(2),733(8)])].
% 67.92/68.19 16881 mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),mult(A,D))) = mult(A,mult(mult(A,mult(B,C)),mult(mult(i(C),i(B)),D))). [para(103(a,1),3619(a,1,1)),rewrite([103(19)]),flip(a)].
% 67.92/68.19 17236 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(8(a,1),4060(a,1,2)),rewrite([8(10)])].
% 67.92/68.19 17237 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(32(a,1),4060(a,1,1,2)),flip(a)].
% 67.92/68.19 17347 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4060(a,1),193(a,2,2)),rewrite([64(6),16881(10),39(8),7(8),7(12)])].
% 67.92/68.19 18116 mult(mult(A,mult(B,C)),mult(i(B),i(A))) = mult(A,mult(B,mult(C,mult(i(B),i(A))))). [para(150(a,1),262(a,2,2,2,2)),rewrite([64(7),893(9),32(10),32(8),64(12),102(16)])].
% 67.92/68.19 19225 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1803(a,1),7(a,1,2)),flip(a)].
% 67.92/68.19 19250 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1803(a,1),88(a,2,2,1)),rewrite([29(3),7(3),32(6),29(9)]),flip(a)].
% 67.92/68.19 19303 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1803(a,1),210(a,2,2,2,2,1)),rewrite([23(2),150(8),19225(7),32(8),149(7),7(8),2(6),23(6),19250(11),2(9)])].
% 67.92/68.19 19443 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(32(a,1),19303(a,1,1,1)),rewrite([154(6)]),flip(a)].
% 67.92/68.19 19444 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(32(a,1),19303(a,1,1,2)),rewrite([154(7)]),flip(a)].
% 67.92/68.19 19537 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12832),rewrite([19444(10),427(7),39(5)]),flip(a)].
% 67.92/68.19 20658 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(C,mult(mult(i(C),B),mult(A,C))). [para(17237(a,1),7(a,1,2))].
% 67.92/68.19 20661 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(8(a,1),17237(a,1,2,2,2)),rewrite([29(4),8(11)])].
% 67.92/68.19 20675 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)). [para(154(a,1),17237(a,1,2,2,2)),rewrite([97(8),32(9),154(13)]),flip(a)].
% 67.92/68.19 20866 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(8(a,1),17347(a,1,1)),rewrite([8(3),29(3)]),flip(a)].
% 67.92/68.19 20868 mult(A,mult(mult(i(A),B),mult(C,A))) = mult(B,mult(mult(C,B),mult(i(B),A))). [para(32(a,1),17347(a,1,1)),rewrite([32(3),64(4),29(4)]),flip(a)].
% 67.92/68.19 20875 mult(mult(A,B),mult(mult(mult(A,B),mult(C,mult(A,B))),i(B))) = mult(A,mult(B,mult(mult(mult(A,B),C),A))). [para(149(a,1),17347(a,1,2,1))].
% 67.92/68.19 20975 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17347(a,1),210(a,2,2,2,2,1)),rewrite([64(2),154(4),20875(13),97(13),8(5),7(8),149(6),7(7),64(7),154(9),97(16),8(10),7(11),149(9),7(10)])].
% 67.92/68.19 21025 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12416),rewrite([20866(8),7(6)]),flip(a)].
% 67.92/68.19 21226 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(7(a,1),20975(a,1,1,1,1)),rewrite([7(8)])].
% 67.92/68.19 21228 mult(mult(mult(A,B),mult(A,C)),i(C)) = mult(A,mult(mult(B,mult(A,C)),i(C))). [para(8(a,1),20975(a,1,1,1,1)),rewrite([8(8)])].
% 67.92/68.19 21230 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(32(a,1),20975(a,1,1,1)),rewrite([64(5)]),flip(a)].
% 67.92/68.19 21937 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19443(a,1),7(a,1,2)),flip(a)].
% 67.92/68.19 21944 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(39(a,1),19443(a,1,2,1,2)),flip(a)].
% 67.92/68.19 21945 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(39(a,1),19443(a,1,2,2)),flip(a)].
% 67.92/68.19 22091 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19443(a,1),4060(a,2,2)),rewrite([32(4)])].
% 67.92/68.19 22183 mult(mult(A,mult(mult(B,mult(C,A)),C)),mult(i(C),i(A))) = mult(A,mult(B,C)). [para(22091(a,1),8(a,1,1)),rewrite([64(6)])].
% 67.92/68.19 22720 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19444(a,1),7(a,1,2)),flip(a)].
% 67.92/68.19 22724 mult(mult(mult(i(A),B),mult(C,A)),i(A)) = mult(i(A),mult(mult(B,i(A)),mult(A,C))). [para(8(a,1),19444(a,1,2,2,2)),rewrite([29(5)]),flip(a)].
% 67.92/68.19 22726 mult(mult(A,i(B)),mult(B,mult(C,i(B)))) = mult(B,mult(mult(mult(i(B),A),C),i(B))). [para(19444(a,1),32(a,1,2)),rewrite([29(10)]),flip(a)].
% 67.92/68.19 22727 mult(mult(mult(A,mult(B,i(A))),C),A) = mult(A,mult(B,mult(i(A),mult(C,A)))). [para(39(a,1),19444(a,1,2,1)),flip(a)].
% 67.92/68.19 22728 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(39(a,1),19444(a,1,2,2,2)),flip(a)].
% 67.92/68.19 22862 mult(A,mult(B,mult(mult(i(B),i(A)),mult(mult(mult(B,A),C),B)))) = mult(B,mult(A,mult(C,B))). [para(19444(a,1),263(a,2,2,2,2)),rewrite([154(4),32(5),32(3),32(4)]),flip(a)].
% 67.92/68.19 22992 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20661(a,1),7(a,1,2)),rewrite([64(2)])].
% 67.92/68.19 23242 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20866(a,1),193(a,1,2,2)),rewrite([7(5)]),flip(a)].
% 67.92/68.19 23263 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20866(a,1),262(a,1,2)),rewrite([29(6),64(6),32(8),23(6),2(6),149(6),29(10),64(10),32(12),8(12),2464(15),23242(14),149(9),7(12)])].
% 67.92/68.19 23367 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(7(a,1),21025(a,1,1,2,1)),rewrite([29(2),7(5)]),flip(a)].
% 67.92/68.19 23371 mult(mult(mult(mult(i(A),B),C),A),mult(i(A),B)) = mult(mult(i(A),mult(B,C)),B). [para(32(a,1),21025(a,1,1,2,1)),rewrite([32(6)]),flip(a)].
% 67.92/68.19 23479 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(i(C),i(B)),mult(mult(B,mult(C,A)),C)). [back_rewrite(11689),rewrite([23367(9)]),flip(a)].
% 67.92/68.19 23482 mult(mult(A,mult(i(B),C)),mult(i(C),mult(B,C))) = mult(mult(i(C),B),mult(mult(i(B),mult(C,A)),C)). [back_rewrite(10855),rewrite([23371(9)]),flip(a)].
% 67.92/68.19 23654 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23242(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 67.92/68.19 23683 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(88(a,1),23242(a,1,2,2)),rewrite([87(8),23654(5),7(9),149(10),39(9)])].
% 67.92/68.19 23762 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23263),rewrite([23654(6)])].
% 67.92/68.19 23886 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,mult(C,mult(i(B),A)))))) = mult(B,mult(mult(C,i(B)),A)). [para(23654(a,1),272(a,2,2,2,2)),rewrite([32(18),7(16)])].
% 67.92/68.19 23915 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(32(a,1),23367(a,1,1,1)),rewrite([64(6),3326(11)]),flip(a)].
% 67.92/68.19 23921 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(183(a,1),23367(a,1,1,1)),rewrite([29(2),273(11)]),flip(a)].
% 67.92/68.19 23927 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(mult(mult(A,mult(B,C)),B),mult(A,B)). [para(23367(a,1),939(a,1,1)),rewrite([893(12)]),flip(a)].
% 67.92/68.19 23932 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)). [para(23367(a,1),87(a,2,2,1)),rewrite([29(8),149(7),7(8),29(12)])].
% 67.92/68.19 23988 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20661(a,1),23367(a,1,1,1)),rewrite([8(5),149(4),23654(4),32(9)]),flip(a)].
% 67.92/68.19 23998 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22862),rewrite([23915(9)])].
% 67.92/68.19 24010 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(273),rewrite([23921(14)])].
% 67.92/68.19 24014 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(7(a,1),23988(a,2,2,2,1)),rewrite([23654(6),39(3)])].
% 67.92/68.19 24015 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(8(a,1),23988(a,1,1,2,1)),rewrite([23654(10),23762(10)])].
% 67.92/68.19 24117 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(7(a,1),24014(a,2,2,2)),rewrite([150(4),7(5),939(9)])].
% 67.92/68.19 24126 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(39(a,1),24014(a,2,2,2)),rewrite([23654(6),150(4),7(5),24117(10)])].
% 67.92/68.19 24262 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(32(a,1),24015(a,1,2)),flip(a)].
% 67.92/68.19 24432 mult(mult(A,mult(B,mult(C,mult(C,B)))),i(B)) = mult(A,mult(mult(B,i(A)),mult(A,mult(C,C)))). [para(896(a,1),23683(a,1,1,2,2,1)),rewrite([1166(2),24126(11)])].
% 67.92/68.19 24652 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(8(a,1),23998(a,1,1,1,1)),rewrite([29(3),22720(6),20866(12)])].
% 67.92/68.19 24680 mult(A,mult(mult(mult(mult(mult(B,A),C),i(A)),i(B)),mult(B,A))) = mult(A,mult(B,mult(A,C))). [para(87(a,1),23998(a,1,1,1)),rewrite([21226(9),149(13),39(12)])].
% 67.92/68.19 24705 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,A)))) = mult(mult(C,mult(A,i(B))),B). [para(239(a,1),23998(a,1,1,1)),rewrite([64(3),29(2),39(6),22727(12),1265(13),32(11)]),flip(a)].
% 67.92/68.19 24752 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(23998(a,1),22091(a,2,2,1)),rewrite([39(5)])].
% 67.92/68.19 24765 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23932),rewrite([24652(12)])].
% 67.92/68.19 24927 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24652(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 67.92/68.19 25014 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(32(a,1),24927(a,1,1,1,2)),rewrite([154(6)]),flip(a)].
% 67.92/68.19 25018 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(39(a,1),24927(a,2,2,2,1)),rewrite([21945(5)])].
% 67.92/68.19 25316 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(32(a,1),25014(a,1,2,2,1,2)),rewrite([64(5),29(5),154(5),19537(7),17236(10)]),flip(a)].
% 67.92/68.20 25317 mult(mult(mult(A,mult(B,i(C))),C),A) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(39(a,1),25014(a,1,2,2,1,2)),flip(a)].
% 67.92/68.20 25384 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25014(a,1),17347(a,2)),rewrite([21937(6),149(8),8(7)])].
% 67.92/68.20 25387 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23367(a,1),25014(a,2)),rewrite([29(4),88(7),7(8)])].
% 67.92/68.20 25396 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20661),rewrite([25316(6),150(3),88(5)])].
% 67.92/68.20 25397 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17236),rewrite([25316(10)])].
% 67.92/68.20 25400 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12206),rewrite([25316(13),7(14)])].
% 67.92/68.20 25499 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25384(a,1),7(a,1,2)),rewrite([64(2)])].
% 67.92/68.20 25507 mult(mult(mult(A,mult(B,mult(i(A),i(C)))),C),A) = mult(mult(A,C),mult(i(C),B)). [para(39(a,1),25384(a,1,2,2)),rewrite([64(6)]),flip(a)].
% 67.92/68.20 25591 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24765(a,1),25384(a,1,2,2)),rewrite([7(6),32(9)]),flip(a)].
% 67.92/68.20 25593 mult(mult(mult(A,B),mult(C,A)),i(C)) = mult(A,mult(mult(B,mult(C,A)),i(C))). [para(7(a,1),25591(a,1,1,1,1)),rewrite([7(8)])].
% 67.92/68.20 25594 mult(mult(mult(A,B),mult(mult(C,B),A)),i(A)) = mult(mult(mult(A,B),C),B). [para(25591(a,1),8(a,1,1))].
% 67.92/68.20 25630 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(896(a,1),25591(a,2,2,1)),rewrite([24126(6),8(3),149(4),1166(7)]),flip(a)].
% 67.92/68.20 25690 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17347(a,1),370(a,2,2,2)),rewrite([29(11),22720(12),32(13),22992(11),32(9),32(14)])].
% 67.92/68.20 25694 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25507),rewrite([25690(6),25397(7)])].
% 67.92/68.20 25695 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24680),rewrite([25694(9)])].
% 67.92/68.20 25700 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(8(a,1),25630(a,1,1)),rewrite([23654(11),23762(11),1166(6)]),flip(a)].
% 67.92/68.20 25837 mult(mult(A,mult(B,mult(B,mult(A,C)))),i(C)) = mult(A,mult(B,mult(B,A))). [para(25700(a,1),8(a,1,1))].
% 67.92/68.20 25908 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25387(a,1),7(a,1,2)),rewrite([64(2)])].
% 67.92/68.20 25918 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25387(a,1),149(a,1,1)),rewrite([23654(13),39(10)])].
% 67.92/68.20 25927 mult(mult(i(A),B),mult(mult(i(B),mult(A,C)),A)) = mult(mult(C,mult(A,i(B))),B). [para(25387(a,1),183(a,1,2)),rewrite([29(12)])].
% 67.92/68.20 25980 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25387(a,1),23998(a,1,1,1)),rewrite([8(5),39(9)])].
% 67.92/68.20 25987 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23479),rewrite([25908(14)])].
% 67.92/68.20 25988 mult(mult(mult(mult(A,B),C),i(A)),mult(A,mult(B,mult(A,B)))) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [back_rewrite(23927),rewrite([25918(13)])].
% 67.92/68.20 25990 mult(mult(A,mult(i(B),C)),mult(i(C),mult(B,C))) = mult(mult(A,mult(C,i(B))),B). [back_rewrite(23482),rewrite([25927(14)])].
% 67.92/68.20 26000 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(32(a,1),25980(a,1,1,2)),flip(a)].
% 67.92/68.20 26089 mult(i(A),mult(mult(mult(A,B),mult(C,B)),A)) = mult(mult(B,C),mult(B,A)). [para(8(a,1),25396(a,1,2,2,1,2)),rewrite([29(5),22720(6),8(9)])].
% 67.92/68.20 26132 mult(mult(i(A),B),mult(mult(mult(C,i(A)),B),A)) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [para(25396(a,1),98(a,1)),rewrite([149(5),8(4),20675(7),149(13),8(12),29(13),8(14)])].
% 67.92/68.20 26149 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(B,mult(i(A),mult(mult(A,C),mult(A,B)))). [para(25396(a,1),193(a,1,2,2)),rewrite([8(4),8(11),29(11)]),flip(a)].
% 67.92/68.20 26174 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25396(a,1),23367(a,2,1)),rewrite([17347(6),150(5),88(7),22091(4),20975(11)])].
% 67.92/68.20 26181 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25396(a,1),25018(a,1,1)),rewrite([32(4),25591(4),32(8),64(10),64(8),29(11),154(10),25987(11),39(9)])].
% 67.92/68.20 26193 mult(mult(mult(i(A),B),C),mult(i(A),mult(B,A))) = mult(i(A),mult(mult(B,mult(C,mult(i(A),B))),A)). [back_rewrite(20675),rewrite([26132(14)])].
% 67.92/68.20 26246 mult(A,mult(mult(B,mult(C,mult(B,A))),i(A))) = mult(mult(mult(A,B),C),B). [back_rewrite(25594),rewrite([26181(4),150(6)])].
% 67.92/68.20 26281 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(39(a,1),26181(a,1,2,1)),flip(a)].
% 67.92/68.20 26507 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25695(a,1),193(a,1,2,2)),rewrite([7(5)]),flip(a)].
% 67.92/68.20 26529 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(272(a,2),25695(a,2)),rewrite([29(4),183(8)]),flip(a)].
% 67.92/68.20 26606 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23886),rewrite([26529(10)])].
% 67.92/68.20 26797 mult(mult(A,B),mult(i(A),mult(mult(A,C),B))) = mult(mult(mult(A,B),C),B). [para(7(a,1),26000(a,1,2,2,2)),rewrite([29(4),7(11)])].
% 67.92/68.20 26802 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(39(a,1),26000(a,1,2,2,2)),rewrite([64(5),29(4),39(12)])].
% 67.92/68.20 26927 mult(A,mult(B,mult(mult(C,mult(B,A)),i(A)))) = mult(mult(A,B),mult(C,B)). [para(26089(a,1),88(a,2,2,1)),rewrite([32(4),7(6),21228(8)]),flip(a)].
% 67.92/68.20 27033 mult(mult(A,mult(B,mult(A,C))),i(C)) = mult(i(C),mult(mult(mult(C,A),B),A)). [para(26246(a,1),7(a,1,2)),flip(a)].
% 67.92/68.20 27035 mult(i(A),mult(mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))),A)) = mult(mult(B,C),mult(A,B)). [para(7(a,1),26246(a,2,1,1)),rewrite([150(5),29(9)])].
% 67.92/68.20 27062 mult(mult(mult(A,B),mult(C,C)),B) = mult(A,mult(B,mult(C,mult(C,B)))). [para(1166(a,1),26246(a,1,2,1,2)),rewrite([25837(6)]),flip(a)].
% 67.92/68.20 27172 mult(mult(A,mult(B,mult(C,mult(C,B)))),i(B)) = mult(mult(A,B),mult(C,C)). [para(27062(a,1),8(a,1,1))].
% 67.92/68.20 27241 mult(A,mult(mult(B,i(A)),mult(A,mult(C,C)))) = mult(mult(A,B),mult(C,C)). [back_rewrite(24432),rewrite([27172(6)]),flip(a)].
% 67.92/68.20 27435 mult(mult(mult(i(A),i(B)),mult(B,mult(C,i(A)))),mult(A,A)) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(427(a,1),890(a,1,1)),rewrite([758(15)])].
% 67.92/68.20 27458 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(427(a,1),25396(a,2)),rewrite([29(7),22728(6),7(7)]),flip(a)].
% 67.92/68.20 27467 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27435),rewrite([27458(7),973(9),25400(8)]),flip(a)].
% 67.92/68.20 27502 mult(mult(mult(A,B),mult(C,i(B))),B) = mult(mult(mult(A,B),mult(C,A)),i(A)). [para(26281(a,1),150(a,1,1)),rewrite([27033(12),32(13)]),flip(a)].
% 67.92/68.20 27510 mult(mult(A,B),mult(C,mult(A,mult(B,i(A))))) = mult(A,mult(B,mult(mult(C,mult(A,B)),i(A)))). [para(26281(a,1),88(a,1)),rewrite([149(4),39(3),21944(14),149(12),39(11),26000(12),25593(11)])].
% 67.92/68.20 27536 mult(mult(A,mult(mult(B,mult(C,A)),i(C))),C) = mult(mult(A,B),mult(C,A)). [back_rewrite(27035),rewrite([27510(7),149(8),7(9)])].
% 67.92/68.20 27588 mult(mult(A,B),mult(mult(B,A),C)) = mult(A,mult(B,mult(B,mult(A,C)))). [para(26507(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 67.92/68.20 27596 mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(i(B),mult(mult(B,A),C)). [para(32(a,1),26507(a,1,2,2)),rewrite([64(6)]),flip(a)].
% 67.92/68.20 27637 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(236(a,1),26507(a,1,2,2)),rewrite([64(4),29(2),29(2),39(5),16796(12)]),flip(a)].
% 67.92/68.20 27639 mult(i(A),mult(i(A),mult(mult(A,i(B)),mult(B,C)))) = mult(mult(i(A),B),mult(i(B),C)). [para(280(a,1),26507(a,1,2,2)),rewrite([64(3),29(3),8(6),19537(14)]),flip(a)].
% 67.92/68.20 28065 mult(A,mult(B,mult(i(A),mult(mult(mult(A,C),B),A)))) = mult(mult(mult(A,B),C),mult(B,A)). [para(26797(a,1),23998(a,1,1,1)),rewrite([8(5),154(9)]),flip(a)].
% 67.92/68.20 28144 mult(A,mult(B,mult(mult(B,mult(mult(C,mult(A,B)),i(B))),i(A)))) = mult(mult(A,B),mult(B,C)). [para(88(a,1),26927(a,1,2,2,1)),rewrite([149(14),39(13)])].
% 67.92/68.20 28423 mult(mult(A,i(B)),mult(B,mult(C,C))) = mult(i(B),mult(mult(B,A),mult(C,C))). [para(27241(a,1),7(a,1,2)),flip(a)].
% 67.92/68.20 28556 mult(i(A),mult(mult(A,B),mult(i(B),mult(mult(C,mult(B,A)),i(A))))) = mult(i(A),mult(mult(A,C),B)). [para(25384(a,1),444(a,2,2,1)),rewrite([32(8),8(16)])].
% 67.92/68.20 28757 mult(i(A),mult(mult(A,i(B)),mult(B,C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [para(24262(a,1),457(a,2,2,2)),rewrite([29(2),29(3),23(2),2(3),39(3),29(2),29(3),23(2),2(3),23(4),1(4),29(5),1265(8),1265(7),27639(8),29(8),29(9),23(8),2(9),23(10),1(10),29(11),34(11),1(11),1265(12)]),flip(a)].
% 67.92/68.20 28765 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [back_rewrite(1265),rewrite([28757(12)])].
% 67.92/68.20 28963 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24262(a,1),463(a,2,2,2)),rewrite([34(3),2(4),39(4),34(4),2(5),29(6),34(6),1(6),29(6),733(8),733(7),27637(8),34(9),2(10),29(11),34(11),1(11),23(11),1(11),733(12)])].
% 67.92/68.20 28964 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28556),rewrite([28963(10),27458(9),32(10)])].
% 67.92/68.20 28978 mult(A,mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(193),rewrite([28963(6)])].
% 67.92/68.20 29087 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23367(a,1),1004(a,2)),rewrite([25988(8),18116(9),28964(7)])].
% 67.92/68.20 29130 mult(mult(A,i(B)),mult(B,mult(mult(A,C),B))) = mult(A,mult(B,mult(mult(i(B),A),mult(C,B)))). [para(29087(a,1),317(a,2,2)),rewrite([64(5),29(4),26802(10),21944(11)])].
% 67.92/68.20 29799 mult(mult(mult(A,i(B)),mult(B,C)),i(C)) = mult(C,mult(mult(i(C),i(B)),mult(B,A))). [para(88(a,1),733(a,1,2)),rewrite([64(5),64(4),29(3),150(5),7(6),22726(9),27467(6),149(8),32(9),64(11),64(10),29(9),150(11),7(12),16796(14)])].
% 67.92/68.20 29816 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25014(a,1),733(a,1,2)),rewrite([25499(7),29130(13),32(14)]),flip(a)].
% 67.92/68.20 29963 mult(A,mult(A,mult(mult(i(A),B),mult(i(B),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(217(a,1),755(a,1,2,1)),rewrite([29(3),64(6),64(5),29(5),183(7),29(4),29(7),64(10),64(9),29(9),183(11),28765(10)]),flip(a)].
% 67.92/68.20 30564 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(779(a,1),733(a,1,2)),rewrite([64(6),29(3),64(4),29(4),7(5),183(12),64(12),29(9),64(10),29(10),7(11),26193(16),22720(17),26606(15),149(13),7(14)])].
% 67.92/68.20 31263 mult(mult(A,mult(mult(B,mult(C,A)),i(A))),i(C)) = mult(i(C),mult(mult(C,A),B)). [para(12389(a,1),209(a,1,1,2)),rewrite([29(2),64(3),64(2),939(5),29(7),991(6),29(6),29(9),7(9),1174(7),7(8),28423(6),890(5),7(3),29(2),64(3),64(2),939(5),29(7),991(6),29(6),150(8),150(7),7(9),29(8),88(8),22726(9),27467(6),149(8),29799(7),7(8),28978(7),29(6),64(7),64(6),939(9),29(11),991(10),29(10),150(12),150(11),7(13),29(12),88(13),22726(14),27467(11),150(8),88(10),149(13),32(14)]),flip(a)].
% 67.92/68.20 31281 mult(A,mult(B,mult(i(A),mult(mult(A,B),C)))) = mult(mult(A,B),mult(B,C)). [back_rewrite(28144),rewrite([31263(7)])].
% 67.92/68.20 31315 mult(mult(mult(A,B),C),mult(B,A)) = mult(mult(A,B),mult(C,mult(B,A))). [para(25384(a,1),31281(a,1,2,2,2)),rewrite([28065(7),32(10)])].
% 67.92/68.20 31334 mult(mult(A,B),mult(i(C),mult(A,C))) = mult(A,mult(B,mult(i(C),mult(A,C)))). [para(8(a,1),31315(a,1,1,1)),rewrite([8(8)])].
% 67.92/68.20 31842 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3619(a,1),867(a,1,1)),rewrite([29(3),29(4),23(3),2(3),7(3),29(2),29(3),64(3),29(6),39(5),29(5),64(5),39(7),2464(8),28963(7),2731(8),29(8),29(9),64(9),29(12),39(11),2464(12)]),flip(a)].
% 67.92/68.20 31845 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(27588(a,1),867(a,1,2,2,2)),rewrite([64(4),29(3),39(7),154(5),39(4),64(6),29(5),7(6),7(10),32(8),2496(6),64(10),29(9),7(10)])].
% 67.92/68.20 31861 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(24010),rewrite([31845(6),3315(7)])].
% 67.92/68.20 32123 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29087(a,1),16865(a,1,2,2)),rewrite([24752(8),27467(9),150(6),88(8),22091(5),26174(8),32(7)]),flip(a)].
% 67.92/68.20 32499 mult(mult(A,B),mult(mult(mult(i(B),i(A)),C),B)) = mult(A,mult(mult(i(A),C),B)). [para(7(a,1),20658(a,1,2,2)),rewrite([29(2),64(7),7(12)]),flip(a)].
% 67.92/68.20 32653 mult(mult(mult(A,i(B)),mult(mult(B,C),A)),B) = mult(A,mult(mult(mult(C,A),mult(B,i(A))),A)). [para(20868(a,1),25980(a,1,1)),rewrite([154(8),31334(9),25990(8),154(12),22720(13),97(14),32(15)]),flip(a)].
% 67.92/68.20 32901 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21230(a,1),7(a,1,2)),rewrite([64(2)]),flip(a)].
% 67.92/68.20 32902 mult(A,mult(mult(mult(i(A),B),mult(A,C)),i(C))) = mult(mult(B,mult(A,C)),i(C)). [para(8(a,1),21230(a,1,1)),rewrite([29(2),64(2),32(4)])].
% 67.92/68.20 32930 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21230(a,1),23367(a,1,1,1)),rewrite([32901(12),29816(13),32(11)])].
% 67.92/68.20 32939 mult(A,mult(B,mult(mult(i(B),mult(i(A),C)),A))) = mult(B,mult(mult(i(B),C),A)). [para(26797(a,1),21230(a,1,2,1,1)),rewrite([39(8),32499(7),29(6),25317(11)]),flip(a)].
% 67.92/68.20 32982 mult(mult(A,mult(B,mult(mult(i(B),i(A)),C))),mult(mult(B,A),C)) = mult(mult(mult(C,B),A),C). [para(102(a,1),32930(a,1,1,1)),rewrite([29(2),25316(6),150(3),88(5),25396(6),31842(9)]),flip(a)].
% 67.92/68.20 33656 mult(mult(i(A),mult(mult(A,mult(B,C)),C)),i(C)) = mult(i(A),mult(mult(A,B),C)). [para(22183(a,1),27536(a,1,1,2,1)),rewrite([29(5),7(13),28964(14)])].
% 67.92/68.20 33928 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22720(a,1),23367(a,1,1,1)),rewrite([30564(9),22992(7),32(10)])].
% 67.92/68.20 33964 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(102(a,1),33928(a,1,2,1,2)),rewrite([29(3),31842(12),32982(15)])].
% 67.92/68.20 34085 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26149),rewrite([33964(6)]),flip(a)].
% 67.92/68.20 34093 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32123),rewrite([34085(6)]),flip(a)].
% 67.92/68.20 34124 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(34093(a,1),7(a,1,2)),rewrite([64(2),27467(8),8(5)])].
% 67.92/68.20 34128 mult(A,mult(mult(B,mult(A,C)),i(C))) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(8(a,1),34093(a,1,1)),rewrite([22724(12),25384(13),25317(10)])].
% 67.92/68.20 34216 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(31861),rewrite([34124(6)]),flip(a)].
% 67.92/68.20 34225 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(32902),rewrite([34128(7),32939(7)]),flip(a)].
% 67.92/68.20 34416 mult(mult(A,i(B)),mult(B,C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(29963),rewrite([34216(5),27596(7)]),flip(a)].
% 67.92/68.20 34529 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(26281),rewrite([34416(4),32(5)]),flip(a)].
% 67.92/68.20 34571 mult(mult(A,mult(B,i(C))),C) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(33656),rewrite([34225(7),34416(6),24705(7)])].
% 67.92/68.20 34626 mult(i(A),mult(mult(A,mult(B,A)),C)) = mult(B,mult(A,C)). [back_rewrite(27502),rewrite([34571(5),34529(8),150(10),8(9)])].
% 67.92/68.20 34725 mult(mult(A,mult(B,A)),C) = mult(A,mult(B,mult(A,C))). [back_rewrite(32653),rewrite([34529(5),7(3),34571(8),34626(8)])].
% 67.92/68.20 34726 $F # answer(goals). [resolve(34725,a,161,a)].
% 67.92/68.20
% 67.92/68.20 % SZS output end Refutation
% 67.92/68.20 ============================== end of proof ==========================
% 67.92/68.20
% 67.92/68.20 ============================== STATISTICS ============================
% 67.92/68.20
% 67.92/68.20 Given=834. Generated=1112095. Kept=34721. proofs=1.
% 67.92/68.20 Usable=466. Sos=8912. Demods=9562. Limbo=372, Disabled=24982. Hints=0.
% 67.92/68.20 Megabytes=38.64.
% 67.92/68.20 User_CPU=66.56, System_CPU=0.61, Wall_clock=68.
% 67.92/68.20
% 67.92/68.20 ============================== end of statistics =====================
% 67.92/68.20
% 67.92/68.20 ============================== end of search =========================
% 67.92/68.20
% 67.92/68.20 THEOREM PROVED
% 67.92/68.20 % SZS status Unsatisfiable
% 67.92/68.20
% 67.92/68.20 Exiting with 1 proof.
% 67.92/68.20
% 67.92/68.20 Process 11291 exit (max_proofs) Mon Jun 13 15:48:14 2022
% 67.92/68.20 Prover9 interrupted
%------------------------------------------------------------------------------