TSTP Solution File: GRP666-3 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP666-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 69.28s 69.61s
% Output : Refutation 69.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP666-3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 03:10:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.07/8.36 ============================== Prover9 ===============================
% 8.07/8.36 Prover9 (32) version 2009-11A, November 2009.
% 8.07/8.36 Process 14587 was started by sandbox2 on n007.cluster.edu,
% 8.07/8.36 Tue Jun 14 03:10:55 2022
% 8.07/8.36 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14434_n007.cluster.edu".
% 8.07/8.36 ============================== end of head ===========================
% 8.07/8.36
% 8.07/8.36 ============================== INPUT =================================
% 8.07/8.36
% 8.07/8.36 % Reading from file /tmp/Prover9_14434_n007.cluster.edu
% 8.07/8.36
% 8.07/8.36 set(prolog_style_variables).
% 8.07/8.36 set(auto2).
% 8.07/8.36 % set(auto2) -> set(auto).
% 8.07/8.36 % set(auto) -> set(auto_inference).
% 8.07/8.36 % set(auto) -> set(auto_setup).
% 8.07/8.36 % set(auto_setup) -> set(predicate_elim).
% 8.07/8.36 % set(auto_setup) -> assign(eq_defs, unfold).
% 8.07/8.36 % set(auto) -> set(auto_limits).
% 8.07/8.36 % set(auto_limits) -> assign(max_weight, "100.000").
% 8.07/8.36 % set(auto_limits) -> assign(sos_limit, 20000).
% 8.07/8.36 % set(auto) -> set(auto_denials).
% 8.07/8.36 % set(auto) -> set(auto_process).
% 8.07/8.36 % set(auto2) -> assign(new_constants, 1).
% 8.07/8.36 % set(auto2) -> assign(fold_denial_max, 3).
% 8.07/8.36 % set(auto2) -> assign(max_weight, "200.000").
% 8.07/8.36 % set(auto2) -> assign(max_hours, 1).
% 8.07/8.36 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 8.07/8.36 % set(auto2) -> assign(max_seconds, 0).
% 8.07/8.36 % set(auto2) -> assign(max_minutes, 5).
% 8.07/8.36 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 8.07/8.36 % set(auto2) -> set(sort_initial_sos).
% 8.07/8.36 % set(auto2) -> assign(sos_limit, -1).
% 8.07/8.36 % set(auto2) -> assign(lrs_ticks, 3000).
% 8.07/8.36 % set(auto2) -> assign(max_megs, 400).
% 8.07/8.36 % set(auto2) -> assign(stats, some).
% 8.07/8.36 % set(auto2) -> clear(echo_input).
% 8.07/8.36 % set(auto2) -> set(quiet).
% 8.07/8.36 % set(auto2) -> clear(print_initial_clauses).
% 8.07/8.36 % set(auto2) -> clear(print_given).
% 8.07/8.36 assign(lrs_ticks,-1).
% 8.07/8.36 assign(sos_limit,10000).
% 8.07/8.36 assign(order,kbo).
% 8.07/8.36 set(lex_order_vars).
% 8.07/8.36 clear(print_given).
% 8.07/8.36
% 8.07/8.36 % formulas(sos). % not echoed (12 formulas)
% 8.07/8.36
% 8.07/8.36 ============================== end of input ==========================
% 8.07/8.36
% 8.07/8.36 % From the command line: assign(max_seconds, 300).
% 8.07/8.36
% 8.07/8.36 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.07/8.36
% 8.07/8.36 % Formulas that are not ordinary clauses:
% 8.07/8.36
% 8.07/8.36 ============================== end of process non-clausal formulas ===
% 8.07/8.36
% 8.07/8.36 ============================== PROCESS INITIAL CLAUSES ===============
% 8.07/8.36
% 8.07/8.36 ============================== PREDICATE ELIMINATION =================
% 8.07/8.36
% 8.07/8.36 ============================== end predicate elimination =============
% 8.07/8.36
% 8.07/8.36 Auto_denials:
% 8.07/8.36 % copying label goals to answer in negative clause
% 8.07/8.36
% 8.07/8.36 Term ordering decisions:
% 8.07/8.36
% 8.07/8.36 % Assigning unary symbol i kb_weight 0 and highest precedence (9).
% 8.07/8.36 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. i=0.
% 8.07/8.36
% 8.07/8.36 ============================== end of process initial clauses ========
% 8.07/8.36
% 8.07/8.36 ============================== CLAUSES FOR SEARCH ====================
% 8.07/8.36
% 8.07/8.36 ============================== end of clauses for search =============
% 8.07/8.36
% 8.07/8.36 ============================== SEARCH ================================
% 8.07/8.36
% 8.07/8.36 % Starting search at 0.01 seconds.
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=77.000, iters=3366
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=71.000, iters=3393
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=68.000, iters=3426
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=61.000, iters=3406
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=59.000, iters=3376
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=57.000, iters=3343
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=55.000, iters=3420
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=53.000, iters=3393
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=52.000, iters=3390
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=51.000, iters=3344
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=49.000, iters=3361
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=48.000, iters=3344
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=47.000, iters=3371
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=46.000, iters=3336
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=45.000, iters=3391
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=44.000, iters=3349
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=43.000, iters=3353
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=42.000, iters=3363
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=41.000, iters=3485
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=40.000, iters=3355
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=39.000, iters=3344
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=38.000, iters=3340
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=37.000, iters=3337
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=36.000, iters=3365
% 8.07/8.36
% 8.07/8.36 Low Water (keep): wt=35.000, iters=3360
% 8.07/8.36
% 8.07/8.36 Low Water (displace): id=7155, wt=197.000
% 8.07/8.36
% 8.07/8.36 Low Water (displace): id=7197, wt=196.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=6379, wt=195.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=6138, wt=191.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=7209, wt=187.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=13854, wt=28.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=13872, wt=26.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=13874, wt=23.000
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=15145, wt=22.000
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=34.000, iters=3346
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=33.000, iters=3333
% 69.28/69.61
% 69.28/69.61 Low Water (displace): id=19046, wt=21.000
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=32.000, iters=3339
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=31.000, iters=3380
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=30.000, iters=3338
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=29.000, iters=3336
% 69.28/69.61
% 69.28/69.61 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 30.66 sec).
% 69.28/69.61
% 69.28/69.61 Low Water (keep): wt=28.000, iters=3346
% 69.28/69.61
% 69.28/69.61 ============================== PROOF =================================
% 69.28/69.61 % SZS status Unsatisfiable
% 69.28/69.61 % SZS output start Refutation
% 69.28/69.61
% 69.28/69.61 % Proof 1 at 67.89 (+ 0.75) seconds: goals.
% 69.28/69.61 % Length of proof is 254.
% 69.28/69.61 % Level of proof is 35.
% 69.28/69.61 % Maximum clause weight is 62.000.
% 69.28/69.61 % Given clauses 833.
% 69.28/69.61
% 69.28/69.61 1 mult(A,unit) = A # label(c05) # label(axiom). [assumption].
% 69.28/69.61 2 mult(unit,A) = A # label(c06) # label(axiom). [assumption].
% 69.28/69.61 3 mult(A,ld(A,B)) = B # label(c01) # label(axiom). [assumption].
% 69.28/69.61 5 mult(rd(A,B),B) = A # label(c03) # label(axiom). [assumption].
% 69.28/69.61 6 rd(mult(A,B),B) = A # label(c04) # label(axiom). [assumption].
% 69.28/69.61 7 mult(i(A),mult(A,B)) = B # label(c10) # label(axiom). [assumption].
% 69.28/69.61 8 mult(mult(A,B),i(B)) = A # label(c11) # label(axiom). [assumption].
% 69.28/69.61 9 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(c09) # label(axiom). [assumption].
% 69.28/69.61 10 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(9),flip(a)].
% 69.28/69.61 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].
% 69.28/69.61 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)].
% 69.28/69.61 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].
% 69.28/69.61 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)].
% 69.28/69.61 15 mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 69.28/69.61 16 mult(mult(mult(a,b),c),b) != mult(a,mult(b,mult(c,b))) # answer(goals). [copy(15),flip(a)].
% 69.28/69.61 22 rd(A,ld(B,A)) = B. [para(3(a,1),6(a,1,1))].
% 69.28/69.61 23 mult(i(A),A) = unit. [para(1(a,1),7(a,1,2))].
% 69.28/69.61 25 ld(A,B) = mult(i(A),B). [para(3(a,1),7(a,1,2)),flip(a)].
% 69.28/69.61 28 rd(A,mult(B,A)) = i(B). [para(7(a,1),6(a,1,1))].
% 69.28/69.61 29 i(i(A)) = A. [back_rewrite(22),rewrite([25(1),28(3)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 32 mult(A,mult(i(A),B)) = B. [back_rewrite(3),rewrite([25(1)])].
% 69.28/69.61 34 mult(A,i(A)) = unit. [para(2(a,1),8(a,1,1))].
% 69.28/69.61 35 rd(A,B) = mult(A,i(B)). [para(5(a,1),8(a,1,1)),flip(a)].
% 69.28/69.61 36 mult(i(mult(A,B)),A) = i(B). [para(8(a,1),7(a,1,2))].
% 69.28/69.61 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)])].
% 69.28/69.61 39 mult(mult(A,i(B)),B) = A. [back_rewrite(5),rewrite([35(1)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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))].
% 69.28/69.61 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))].
% 69.28/69.61 64 i(mult(A,B)) = mult(i(B),i(A)). [para(7(a,1),36(a,1,1,1)),flip(a)].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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)])].
% 69.28/69.61 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))].
% 69.28/69.61 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))].
% 69.28/69.61 102 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(64(a,1),7(a,1,1))].
% 69.28/69.61 103 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(64(a,1),8(a,1,2))].
% 69.28/69.61 104 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(64(a,1),23(a,1,1))].
% 69.28/69.61 105 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(64(a,1),34(a,1,2))].
% 69.28/69.61 106 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(64(a,1),32(a,1,2,1))].
% 69.28/69.61 107 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(64(a,1),39(a,1,1,2))].
% 69.28/69.61 116 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)])].
% 69.28/69.61 118 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)])].
% 69.28/69.61 121 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)])].
% 69.28/69.61 122 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)])].
% 69.28/69.61 125 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)])].
% 69.28/69.61 149 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(82(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 69.28/69.61 150 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)].
% 69.28/69.61 153 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)])].
% 69.28/69.61 154 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(32(a,1),82(a,1,2,1)),flip(a)].
% 69.28/69.61 160 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)])].
% 69.28/69.61 166 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)])].
% 69.28/69.61 168 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)])].
% 69.28/69.61 170 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(149(a,1),7(a,1,2)),rewrite([64(2)])].
% 69.28/69.61 172 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)].
% 69.28/69.61 182 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(29(a,1),102(a,1,1,2))].
% 69.28/69.61 188 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)])].
% 69.28/69.61 190 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))].
% 69.28/69.61 192 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)])].
% 69.28/69.61 209 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),182(6),64(3),29(3),154(5),98(8),64(13),29(13),154(15),98(19)]),flip(a)].
% 69.28/69.61 235 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)])].
% 69.28/69.61 261 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)])].
% 69.28/69.62 262 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)])].
% 69.28/69.62 271 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)].
% 69.28/69.62 275 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)])].
% 69.28/69.62 285 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)])].
% 69.28/69.62 316 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)].
% 69.28/69.62 369 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(170(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)].
% 69.28/69.62 410 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(275(a,1),149(a,2,2)),rewrite([285(6),166(10),154(11)])].
% 69.28/69.62 421 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)])].
% 69.28/69.62 426 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)])].
% 69.28/69.62 443 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)].
% 69.28/69.62 462 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)])].
% 69.28/69.62 732 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)].
% 69.28/69.62 737 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)].
% 69.28/69.62 757 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),732(13),29(15),149(14),160(14),7(15)])].
% 69.28/69.62 778 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(275(a,1),71(a,1,2,2,2)),rewrite([64(3),29(3),64(5),29(5),64(12),29(12)]),flip(a)].
% 69.28/69.62 866 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(421),rewrite([732(14),732(21)])].
% 69.28/69.62 889 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(737(a,1),7(a,1,2)),rewrite([64(3),29(2)])].
% 69.28/69.62 890 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(7(a,1),737(a,1,2)),rewrite([29(3),149(2)])].
% 69.28/69.62 892 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(8(a,1),737(a,1,1)),flip(a)].
% 69.28/69.62 894 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(29(a,1),737(a,1,1,2))].
% 69.28/69.62 895 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(39(a,1),737(a,1,2)),rewrite([64(3),29(2)])].
% 69.28/69.62 899 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(737(a,1),106(a,1,2))].
% 69.28/69.62 912 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(890),rewrite([892(6)])].
% 69.28/69.62 913 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(410),rewrite([894(6)])].
% 69.28/69.62 938 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(8(a,1),889(a,1,1)),flip(a)].
% 69.28/69.62 972 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(913),rewrite([938(7)])].
% 69.28/69.62 989 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(938(a,1),8(a,1,1))].
% 69.28/69.62 1003 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(938(a,1),103(a,1,1)),rewrite([892(3)])].
% 69.28/69.62 1165 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(895(a,1),39(a,1,1)),rewrite([29(4)])].
% 69.28/69.62 1173 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(895(a,1),889(a,1,1)),rewrite([1165(3),29(5)]),flip(a)].
% 69.28/69.62 1254 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1165(a,1),989(a,1,1)),rewrite([1165(7)])].
% 69.28/69.62 1443 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(892(a,1),1165(a,1,1))].
% 69.28/69.62 1461 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),938(7),64(11),64(15),64(17),29(15),29(15),8(16)]),flip(a)].
% 69.28/69.62 1674 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(912(a,1),899(a,1,1)),rewrite([1443(7),899(6)]),flip(a)].
% 69.28/69.62 1802 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)].
% 69.28/69.62 1805 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)].
% 69.28/69.62 1896 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(7(a,1),1173(a,1,1,2)),rewrite([892(9),7(10)])].
% 69.28/69.62 2028 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)].
% 69.28/69.62 2463 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)])].
% 69.28/69.62 2730 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)])].
% 69.28/69.62 3211 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(7(a,1),1254(a,2,2)),rewrite([892(5),7(6),64(6)])].
% 69.28/69.62 3213 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(32(a,1),1254(a,2,2)),rewrite([892(5),32(6),64(7),29(7)])].
% 69.28/69.62 3216 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),1254(a,2,2)),rewrite([892(11),102(12),64(10),64(10)])].
% 69.28/69.62 3325 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)])].
% 69.28/69.62 3618 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)])].
% 69.28/69.62 3635 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(737(a,1),122(a,1,2,2,2)),rewrite([29(2),29(4),7(5),29(6)])].
% 69.28/69.62 4059 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)])].
% 69.28/69.62 7499 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)])].
% 69.28/69.62 7514 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)])].
% 69.28/69.62 7519 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),2028(8),87(17),39(11),87(15),39(8),7499(9),64(11),88(17)]),flip(a)].
% 69.28/69.62 7956 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3213(a,1),153(a,1,2,2)),rewrite([64(3),29(3),64(7),64(6),64(5),29(5),149(6),1674(8),182(9),4059(9),1896(7),732(10),32(8),7514(6),32(7),64(7),29(7),3213(13),1896(8)])].
% 69.28/69.62 8027 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(8(a,1),3635(a,1,2)),rewrite([29(3),938(2),149(3),1165(2),29(6),8(7)]),flip(a)].
% 69.28/69.62 8393 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),8027(a,1,2)),rewrite([103(18),149(13)])].
% 69.28/69.62 10088 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),7956(a,2,2,2)),rewrite([64(2),88(8),7519(9),87(13),39(9),8393(7),64(12),87(22),39(16)]),flip(a)].
% 69.28/69.62 11688 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),168(a,1,1,2)),rewrite([102(8)]),flip(a)].
% 69.28/69.62 12162 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),188(a,1,2,2,2,2)),rewrite([29(2),1(11),8(10),23(8),1(8)])].
% 69.28/69.62 12205 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(1461),rewrite([12162(7)]),flip(a)].
% 69.28/69.62 12415 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(172(a,1),190(a,1,2,2)),rewrite([7(8)]),flip(a)].
% 69.28/69.62 12830 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),192(a,1,2,2,1)),rewrite([64(3),29(9),88(9),64(13),150(17)])].
% 69.28/69.62 12831 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),192(a,1,2,2,1)),rewrite([64(3),29(3),98(8),64(13),29(13),154(15)])].
% 69.28/69.62 16788 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),3211(a,1,1,2,2)),rewrite([64(2),87(12),39(6),10088(10),64(14),64(13),29(12),150(14),64(16),1805(18),87(19),39(10),3216(13),64(9)]),flip(a)].
% 69.28/69.62 16795 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(12830),rewrite([16788(10),426(9),8(7),7(8)]),flip(a)].
% 69.28/69.62 16864 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3618(a,1),7(a,1,2)),rewrite([64(2),732(8)])].
% 69.28/69.62 16880 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),3618(a,1,1)),rewrite([103(19)]),flip(a)].
% 69.28/69.62 17235 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(8(a,1),4059(a,1,2)),rewrite([8(10)])].
% 69.28/69.62 17236 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(32(a,1),4059(a,1,1,2)),flip(a)].
% 69.28/69.62 17346 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4059(a,1),192(a,2,2)),rewrite([64(6),16880(10),39(8),7(8),7(12)])].
% 69.28/69.62 18115 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),261(a,2,2,2,2)),rewrite([64(7),892(9),32(10),32(8),64(12),102(16)])].
% 69.28/69.62 19224 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1802(a,1),7(a,1,2)),flip(a)].
% 69.28/69.62 19249 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1802(a,1),88(a,2,2,1)),rewrite([29(3),7(3),32(6),29(9)]),flip(a)].
% 69.28/69.62 19302 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1802(a,1),209(a,2,2,2,2,1)),rewrite([23(2),150(8),19224(7),32(8),149(7),7(8),2(6),23(6),19249(11),2(9)])].
% 69.28/69.62 19442 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(32(a,1),19302(a,1,1,1)),rewrite([154(6)]),flip(a)].
% 69.28/69.62 19443 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(32(a,1),19302(a,1,1,2)),rewrite([154(7)]),flip(a)].
% 69.28/69.62 19536 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12831),rewrite([19443(10),426(7),39(5)]),flip(a)].
% 69.28/69.62 20657 mult(i(A),mult(mult(A,B),mult(A,C))) = mult(C,mult(mult(i(C),B),mult(A,C))). [para(17236(a,1),7(a,1,2))].
% 69.28/69.62 20660 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(8(a,1),17236(a,1,2,2,2)),rewrite([29(4),8(11)])].
% 69.28/69.62 20674 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),17236(a,1,2,2,2)),rewrite([97(8),32(9),154(13)]),flip(a)].
% 69.28/69.62 20865 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(8(a,1),17346(a,1,1)),rewrite([8(3),29(3)]),flip(a)].
% 69.28/69.62 20874 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),17346(a,1,2,1))].
% 69.28/69.62 20974 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17346(a,1),209(a,2,2,2,2,1)),rewrite([64(2),154(4),20874(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)])].
% 69.28/69.62 21024 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12415),rewrite([20865(8),7(6)]),flip(a)].
% 69.28/69.62 21225 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(7(a,1),20974(a,1,1,1,1)),rewrite([7(8)])].
% 69.28/69.62 21229 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(32(a,1),20974(a,1,1,1)),rewrite([64(5)]),flip(a)].
% 69.28/69.62 21936 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19442(a,1),7(a,1,2)),flip(a)].
% 69.28/69.62 21943 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(39(a,1),19442(a,1,2,1,2)),flip(a)].
% 69.28/69.62 21944 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(39(a,1),19442(a,1,2,2)),flip(a)].
% 69.28/69.62 22090 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19442(a,1),4059(a,2,2)),rewrite([32(4)])].
% 69.28/69.62 22719 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19443(a,1),7(a,1,2)),flip(a)].
% 69.28/69.62 22723 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),19443(a,1,2,2,2)),rewrite([29(5)]),flip(a)].
% 69.28/69.62 22727 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(39(a,1),19443(a,1,2,2,2)),flip(a)].
% 69.28/69.62 22861 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(19443(a,1),262(a,2,2,2,2)),rewrite([154(4),32(5),32(3),32(4)]),flip(a)].
% 69.28/69.62 22991 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20660(a,1),7(a,1,2)),rewrite([64(2)])].
% 69.28/69.62 23241 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20865(a,1),192(a,1,2,2)),rewrite([7(5)]),flip(a)].
% 69.28/69.62 23262 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20865(a,1),261(a,1,2)),rewrite([29(6),64(6),32(8),23(6),2(6),149(6),29(10),64(10),32(12),8(12),2463(15),23241(14),149(9),7(12)])].
% 69.28/69.62 23366 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(7(a,1),21024(a,1,1,2,1)),rewrite([29(2),7(5)]),flip(a)].
% 69.28/69.62 23478 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(11688),rewrite([23366(9)]),flip(a)].
% 69.28/69.62 23653 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23241(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 69.28/69.62 23682 mult(mult(A,mult(B,mult(mult(C,A),B))),i(B)) = mult(A,mult(mult(B,C),A)). [para(88(a,1),23241(a,1,2,2)),rewrite([87(8),23653(5),7(9),149(10),39(9)])].
% 69.28/69.62 23761 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23262),rewrite([23653(6)])].
% 69.28/69.62 23885 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(23653(a,1),271(a,2,2,2,2)),rewrite([32(18),7(16)])].
% 69.28/69.62 23914 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),23366(a,1,1,1)),rewrite([64(6),3325(11)]),flip(a)].
% 69.28/69.62 23926 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(23366(a,1),938(a,1,1)),rewrite([892(12)]),flip(a)].
% 69.28/69.62 23931 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(23366(a,1),87(a,2,2,1)),rewrite([29(8),149(7),7(8),29(12)])].
% 69.28/69.62 23987 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20660(a,1),23366(a,1,1,1)),rewrite([8(5),149(4),23653(4),32(9)]),flip(a)].
% 69.28/69.62 23997 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22861),rewrite([23914(9)])].
% 69.28/69.62 24013 mult(mult(A,mult(B,mult(C,B))),C) = mult(mult(A,B),mult(C,mult(B,C))). [para(7(a,1),23987(a,2,2,2,1)),rewrite([23653(6),39(3)])].
% 69.28/69.62 24014 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(8(a,1),23987(a,1,1,2,1)),rewrite([23653(10),23761(10)])].
% 69.28/69.62 24116 mult(mult(A,mult(B,i(C))),mult(C,B)) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(7(a,1),24013(a,2,2,2)),rewrite([150(4),7(5),938(9)])].
% 69.28/69.62 24125 mult(mult(A,mult(B,mult(B,i(C)))),C) = mult(mult(A,i(C)),mult(C,mult(B,B))). [para(39(a,1),24013(a,2,2,2)),rewrite([23653(6),150(4),7(5),24116(10)])].
% 69.28/69.62 24261 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(32(a,1),24014(a,1,2)),flip(a)].
% 69.28/69.62 24651 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(8(a,1),23997(a,1,1,1,1)),rewrite([29(3),22719(6),20865(12)])].
% 69.28/69.62 24679 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),23997(a,1,1,1)),rewrite([21225(9),149(13),39(12)])].
% 69.28/69.62 24751 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(23997(a,1),22090(a,2,2,1)),rewrite([39(5)])].
% 69.28/69.62 24764 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23931),rewrite([24651(12)])].
% 69.28/69.62 24926 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24651(a,1),7(a,1,2)),rewrite([29(2)]),flip(a)].
% 69.28/69.62 25013 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(32(a,1),24926(a,1,1,1,2)),rewrite([154(6)]),flip(a)].
% 69.28/69.62 25315 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(32(a,1),25013(a,1,2,2,1,2)),rewrite([64(5),29(5),154(5),19536(7),17235(10)]),flip(a)].
% 69.28/69.62 25316 mult(mult(mult(A,mult(B,i(C))),C),A) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(39(a,1),25013(a,1,2,2,1,2)),flip(a)].
% 69.28/69.62 25383 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25013(a,1),17346(a,2)),rewrite([21936(6),149(8),8(7)])].
% 69.28/69.62 25386 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23366(a,1),25013(a,2)),rewrite([29(4),88(7),7(8)])].
% 69.28/69.62 25395 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20660),rewrite([25315(6),150(3),88(5)])].
% 69.28/69.62 25396 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17235),rewrite([25315(10)])].
% 69.28/69.62 25399 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12205),rewrite([25315(13),7(14)])].
% 69.28/69.62 25498 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25383(a,1),7(a,1,2)),rewrite([64(2)])].
% 69.28/69.62 25506 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),25383(a,1,2,2)),rewrite([64(6)]),flip(a)].
% 69.28/69.62 25590 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24764(a,1),25383(a,1,2,2)),rewrite([7(6),32(9)]),flip(a)].
% 69.28/69.62 25629 mult(mult(A,B),mult(C,mult(C,A))) = mult(A,mult(mult(B,mult(C,C)),A)). [para(895(a,1),25590(a,2,2,1)),rewrite([24125(6),8(3),149(4),1165(7)]),flip(a)].
% 69.28/69.62 25689 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17346(a,1),369(a,2,2,2)),rewrite([29(11),22719(12),32(13),22991(11),32(9),32(14)])].
% 69.28/69.62 25693 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25506),rewrite([25689(6),25396(7)])].
% 69.28/69.62 25694 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24679),rewrite([25693(9)])].
% 69.28/69.62 25699 mult(mult(A,mult(B,mult(B,A))),C) = mult(A,mult(B,mult(B,mult(A,C)))). [para(8(a,1),25629(a,1,1)),rewrite([23653(11),23761(11),1165(6)]),flip(a)].
% 69.28/69.62 25837 mult(i(A),mult(mult(B,A),mult(mult(B,A),mult(i(A),C)))) = mult(mult(i(A),mult(B,mult(A,B))),C). [para(8(a,1),25699(a,1,1,2,2)),rewrite([149(3)]),flip(a)].
% 69.28/69.62 25907 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25386(a,1),7(a,1,2)),rewrite([64(2)])].
% 69.28/69.62 25917 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25386(a,1),149(a,1,1)),rewrite([23653(13),39(10)])].
% 69.28/69.62 25979 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25386(a,1),23997(a,1,1,1)),rewrite([8(5),39(9)])].
% 69.28/69.62 25986 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23478),rewrite([25907(14)])].
% 69.28/69.62 25987 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(23926),rewrite([25917(13)])].
% 69.28/69.62 25999 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(32(a,1),25979(a,1,1,2)),flip(a)].
% 69.28/69.62 26100 mult(mult(mult(A,B),mult(mult(A,B),C)),A) = mult(A,mult(B,mult(A,mult(mult(B,C),A)))). [para(149(a,1),25395(a,1,2,2,1)),rewrite([23653(4),23682(6)]),flip(a)].
% 69.28/69.62 26131 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(25395(a,1),98(a,1)),rewrite([149(5),8(4),20674(7),149(13),8(12),29(13),8(14)])].
% 69.28/69.62 26148 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(25395(a,1),192(a,1,2,2)),rewrite([8(4),8(11),29(11)]),flip(a)].
% 69.28/69.62 26173 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25395(a,1),23366(a,2,1)),rewrite([17346(6),150(5),88(7),22090(4),20974(11)])].
% 69.28/69.62 26192 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(20674),rewrite([26131(14)])].
% 69.28/69.62 26506 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25694(a,1),192(a,1,2,2)),rewrite([7(5)]),flip(a)].
% 69.28/69.62 26528 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(271(a,2),25694(a,2)),rewrite([29(4),182(8)]),flip(a)].
% 69.28/69.62 26605 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23885),rewrite([26528(10)])].
% 69.28/69.62 26796 mult(mult(A,B),mult(i(A),mult(mult(A,C),B))) = mult(mult(mult(A,B),C),B). [para(7(a,1),25999(a,1,2,2,2)),rewrite([29(4),7(11)])].
% 69.28/69.62 26801 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(39(a,1),25999(a,1,2,2,2)),rewrite([64(5),29(4),39(12)])].
% 69.28/69.62 27434 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(426(a,1),889(a,1,1)),rewrite([757(15)])].
% 69.28/69.62 27457 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(426(a,1),25395(a,2)),rewrite([29(7),22727(6),7(7)]),flip(a)].
% 69.28/69.62 27466 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27434),rewrite([27457(7),972(9),25399(8)]),flip(a)].
% 69.28/69.62 27592 mult(mult(A,B),mult(mult(A,B),mult(i(B),C))) = mult(B,mult(mult(i(B),mult(A,B)),mult(A,C))). [para(8(a,1),26506(a,1,2,2,1)),rewrite([29(2)]),flip(a)].
% 69.28/69.62 27636 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(235(a,1),26506(a,1,2,2)),rewrite([64(4),29(2),29(2),39(5),16795(12)]),flip(a)].
% 69.28/69.62 27682 mult(mult(i(A),mult(B,mult(A,B))),C) = mult(mult(i(A),mult(B,A)),mult(B,C)). [back_rewrite(25837),rewrite([27592(7),7(8)]),flip(a)].
% 69.28/69.62 28555 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(25383(a,1),443(a,2,2,1)),rewrite([32(8),8(16)])].
% 69.28/69.62 28962 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24261(a,1),462(a,2,2,2)),rewrite([34(3),2(4),39(4),34(4),2(5),29(6),34(6),1(6),29(6),732(8),732(7),27636(8),34(9),2(10),29(11),34(11),1(11),23(11),1(11),732(12)])].
% 69.28/69.62 28963 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28555),rewrite([28962(10),27457(9),32(10)])].
% 69.28/69.62 29086 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23366(a,1),1003(a,2)),rewrite([25987(8),18115(9),28963(7)])].
% 69.28/69.62 29129 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(29086(a,1),316(a,2,2)),rewrite([64(5),29(4),26801(10),21943(11)])].
% 69.28/69.62 29815 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25013(a,1),732(a,1,2)),rewrite([25498(7),29129(13),32(14)]),flip(a)].
% 69.28/69.62 30563 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(778(a,1),732(a,1,2)),rewrite([64(6),29(3),64(4),29(4),7(5),182(12),64(12),29(9),64(10),29(10),7(11),26192(16),22719(17),26605(15),149(13),7(14)])].
% 69.28/69.62 31841 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3618(a,1),866(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),2463(8),28962(7),2730(8),29(8),29(9),64(9),29(12),39(11),2463(12)]),flip(a)].
% 69.28/69.62 32122 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29086(a,1),16864(a,1,2,2)),rewrite([24751(8),27466(9),150(6),88(8),22090(5),26173(8),32(7)]),flip(a)].
% 69.28/69.62 32498 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),20657(a,1,2,2)),rewrite([29(2),64(7),7(12)]),flip(a)].
% 69.28/69.62 32900 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21229(a,1),7(a,1,2)),rewrite([64(2)]),flip(a)].
% 69.28/69.62 32901 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),21229(a,1,1)),rewrite([29(2),64(2),32(4)])].
% 69.28/69.62 32929 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21229(a,1),23366(a,1,1,1)),rewrite([32900(12),29815(13),32(11)])].
% 69.28/69.62 32938 mult(A,mult(B,mult(mult(i(B),mult(i(A),C)),A))) = mult(B,mult(mult(i(B),C),A)). [para(26796(a,1),21229(a,1,2,1,1)),rewrite([39(8),32498(7),29(6),25316(11)]),flip(a)].
% 69.28/69.62 32981 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),32929(a,1,1,1)),rewrite([29(2),25315(6),150(3),88(5),25395(6),31841(9)]),flip(a)].
% 69.28/69.62 33544 mult(A,mult(mult(i(A),mult(B,A)),mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(B,A),C),A). [para(25395(a,1),21944(a,2)),rewrite([32(4),64(6),64(4),29(7),154(6),25986(7),21944(9),32(13)])].
% 69.28/69.62 33927 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22719(a,1),23366(a,1,1,1)),rewrite([30563(9),22991(7),32(10)])].
% 69.28/69.62 33931 mult(mult(i(A),mult(B,A)),mult(B,mult(C,A))) = mult(i(A),mult(B,mult(A,mult(mult(B,C),A)))). [para(22719(a,1),25699(a,2,2,2)),rewrite([8(5),149(3),27682(6),22719(14),26100(13),7(14)])].
% 69.28/69.62 33963 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(102(a,1),33927(a,1,2,1,2)),rewrite([29(3),31841(12),32981(15)])].
% 69.28/69.62 34084 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26148),rewrite([33963(6)]),flip(a)].
% 69.28/69.62 34092 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32122),rewrite([34084(6)]),flip(a)].
% 69.28/69.62 34127 mult(A,mult(mult(B,mult(A,C)),i(C))) = mult(A,mult(C,mult(mult(i(C),B),A))). [para(8(a,1),34092(a,1,1)),rewrite([22723(12),25383(13),25316(10)])].
% 69.28/69.62 34224 mult(mult(A,mult(B,C)),i(C)) = mult(C,mult(mult(i(C),A),B)). [back_rewrite(32901),rewrite([34127(7),32938(7)]),flip(a)].
% 69.28/69.62 34579 mult(mult(mult(A,B),C),B) = mult(A,mult(B,mult(C,B))). [back_rewrite(33544),rewrite([34224(7),33931(8),32(4),32(6)]),flip(a)].
% 69.28/69.62 34580 $F # answer(goals). [resolve(34579,a,16,a)].
% 69.28/69.62
% 69.28/69.62 % SZS output end Refutation
% 69.28/69.62 ============================== end of proof ==========================
% 69.28/69.62
% 69.28/69.62 ============================== STATISTICS ============================
% 69.28/69.62
% 69.28/69.62 Given=833. Generated=1111731. Kept=34575. proofs=1.
% 69.28/69.62 Usable=483. Sos=9124. Demods=9757. Limbo=355, Disabled=24624. Hints=0.
% 69.28/69.62 Megabytes=38.57.
% 69.28/69.62 User_CPU=67.89, System_CPU=0.75, Wall_clock=68.
% 69.28/69.62
% 69.28/69.62 ============================== end of statistics =====================
% 69.28/69.62
% 69.28/69.62 ============================== end of search =========================
% 69.28/69.62
% 69.28/69.62 THEOREM PROVED
% 69.28/69.62 % SZS status Unsatisfiable
% 69.28/69.62
% 69.28/69.62 Exiting with 1 proof.
% 69.28/69.62
% 69.28/69.62 Process 14587 exit (max_proofs) Tue Jun 14 03:12:03 2022
% 69.28/69.62 Prover9 interrupted
%------------------------------------------------------------------------------