TSTP Solution File: GRP666-5 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP666-5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:20:28 EDT 2022
% Result : Unsatisfiable 69.13s 69.42s
% Output : Refutation 69.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP666-5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n028.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 : Tue Jun 14 01:06:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 8.46/8.76 ============================== Prover9 ===============================
% 8.46/8.76 Prover9 (32) version 2009-11A, November 2009.
% 8.46/8.76 Process 31137 was started by sandbox2 on n028.cluster.edu,
% 8.46/8.76 Tue Jun 14 01:06:24 2022
% 8.46/8.76 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30982_n028.cluster.edu".
% 8.46/8.76 ============================== end of head ===========================
% 8.46/8.76
% 8.46/8.76 ============================== INPUT =================================
% 8.46/8.76
% 8.46/8.76 % Reading from file /tmp/Prover9_30982_n028.cluster.edu
% 8.46/8.76
% 8.46/8.76 set(prolog_style_variables).
% 8.46/8.76 set(auto2).
% 8.46/8.76 % set(auto2) -> set(auto).
% 8.46/8.76 % set(auto) -> set(auto_inference).
% 8.46/8.76 % set(auto) -> set(auto_setup).
% 8.46/8.76 % set(auto_setup) -> set(predicate_elim).
% 8.46/8.76 % set(auto_setup) -> assign(eq_defs, unfold).
% 8.46/8.76 % set(auto) -> set(auto_limits).
% 8.46/8.76 % set(auto_limits) -> assign(max_weight, "100.000").
% 8.46/8.76 % set(auto_limits) -> assign(sos_limit, 20000).
% 8.46/8.76 % set(auto) -> set(auto_denials).
% 8.46/8.76 % set(auto) -> set(auto_process).
% 8.46/8.76 % set(auto2) -> assign(new_constants, 1).
% 8.46/8.76 % set(auto2) -> assign(fold_denial_max, 3).
% 8.46/8.76 % set(auto2) -> assign(max_weight, "200.000").
% 8.46/8.76 % set(auto2) -> assign(max_hours, 1).
% 8.46/8.76 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 8.46/8.76 % set(auto2) -> assign(max_seconds, 0).
% 8.46/8.76 % set(auto2) -> assign(max_minutes, 5).
% 8.46/8.76 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 8.46/8.76 % set(auto2) -> set(sort_initial_sos).
% 8.46/8.76 % set(auto2) -> assign(sos_limit, -1).
% 8.46/8.76 % set(auto2) -> assign(lrs_ticks, 3000).
% 8.46/8.76 % set(auto2) -> assign(max_megs, 400).
% 8.46/8.76 % set(auto2) -> assign(stats, some).
% 8.46/8.76 % set(auto2) -> clear(echo_input).
% 8.46/8.76 % set(auto2) -> set(quiet).
% 8.46/8.76 % set(auto2) -> clear(print_initial_clauses).
% 8.46/8.76 % set(auto2) -> clear(print_given).
% 8.46/8.76 assign(lrs_ticks,-1).
% 8.46/8.76 assign(sos_limit,10000).
% 8.46/8.76 assign(order,kbo).
% 8.46/8.76 set(lex_order_vars).
% 8.46/8.76 clear(print_given).
% 8.46/8.76
% 8.46/8.76 % formulas(sos). % not echoed (12 formulas)
% 8.46/8.76
% 8.46/8.76 ============================== end of input ==========================
% 8.46/8.76
% 8.46/8.76 % From the command line: assign(max_seconds, 300).
% 8.46/8.76
% 8.46/8.76 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 8.46/8.76
% 8.46/8.76 % Formulas that are not ordinary clauses:
% 8.46/8.76
% 8.46/8.76 ============================== end of process non-clausal formulas ===
% 8.46/8.76
% 8.46/8.76 ============================== PROCESS INITIAL CLAUSES ===============
% 8.46/8.76
% 8.46/8.76 ============================== PREDICATE ELIMINATION =================
% 8.46/8.76
% 8.46/8.76 ============================== end predicate elimination =============
% 8.46/8.76
% 8.46/8.76 Auto_denials:
% 8.46/8.76 % copying label goals to answer in negative clause
% 8.46/8.76
% 8.46/8.76 Term ordering decisions:
% 8.46/8.76
% 8.46/8.76 % Assigning unary symbol i kb_weight 0 and highest precedence (9).
% 8.46/8.76 Function symbol KB weights: unit=1. a=1. b=1. c=1. mult=1. ld=1. rd=1. i=0.
% 8.46/8.76
% 8.46/8.76 ============================== end of process initial clauses ========
% 8.46/8.76
% 8.46/8.76 ============================== CLAUSES FOR SEARCH ====================
% 8.46/8.76
% 8.46/8.76 ============================== end of clauses for search =============
% 8.46/8.76
% 8.46/8.76 ============================== SEARCH ================================
% 8.46/8.76
% 8.46/8.76 % Starting search at 0.01 seconds.
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=77.000, iters=3366
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=71.000, iters=3393
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=68.000, iters=3426
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=61.000, iters=3406
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=59.000, iters=3376
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=57.000, iters=3343
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=55.000, iters=3420
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=53.000, iters=3393
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=52.000, iters=3390
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=51.000, iters=3344
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=49.000, iters=3361
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=48.000, iters=3344
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=47.000, iters=3371
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=46.000, iters=3336
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=45.000, iters=3391
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=44.000, iters=3349
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=43.000, iters=3353
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=42.000, iters=3363
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=41.000, iters=3485
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=40.000, iters=3355
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=39.000, iters=3344
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=38.000, iters=3340
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=37.000, iters=3337
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=36.000, iters=3365
% 8.46/8.76
% 8.46/8.76 Low Water (keep): wt=35.000, iters=3360
% 8.46/8.76
% 8.46/8.76 Low Water (displace): id=7154, wt=197.000
% 8.46/8.76
% 8.46/8.76 Low Water (displace): id=7196, wt=196.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=6378, wt=195.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=6137, wt=191.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=7208, wt=187.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=13853, wt=28.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=13871, wt=26.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=13873, wt=23.000
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=15144, wt=22.000
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=34.000, iters=3346
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=33.000, iters=3333
% 69.13/69.42
% 69.13/69.42 Low Water (displace): id=19045, wt=21.000
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=32.000, iters=3339
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=31.000, iters=3380
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=30.000, iters=3338
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=29.000, iters=3336
% 69.13/69.42
% 69.13/69.42 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 45 (0.00 of 31.87 sec).
% 69.13/69.42
% 69.13/69.42 Low Water (keep): wt=28.000, iters=3346
% 69.13/69.42
% 69.13/69.42 ============================== PROOF =================================
% 69.13/69.42 % SZS status Unsatisfiable
% 69.13/69.42 % SZS output start Refutation
% 69.13/69.42
% 69.13/69.42 % Proof 1 at 67.71 (+ 0.71) seconds: goals.
% 69.13/69.42 % Length of proof is 259.
% 69.13/69.42 % Level of proof is 36.
% 69.13/69.42 % Maximum clause weight is 66.000.
% 69.13/69.42 % Given clauses 833.
% 69.13/69.42
% 69.13/69.42 1 mult(A,unit) = A # label(c05) # label(axiom). [assumption].
% 69.13/69.42 2 mult(unit,A) = A # label(c06) # label(axiom). [assumption].
% 69.13/69.42 3 mult(A,ld(A,B)) = B # label(c01) # label(axiom). [assumption].
% 69.13/69.42 5 mult(rd(A,B),B) = A # label(c03) # label(axiom). [assumption].
% 69.13/69.42 6 rd(mult(A,B),B) = A # label(c04) # label(axiom). [assumption].
% 69.13/69.42 7 mult(i(A),mult(A,B)) = B # label(c10) # label(axiom). [assumption].
% 69.13/69.42 8 mult(mult(A,B),i(B)) = A # label(c11) # label(axiom). [assumption].
% 69.13/69.42 9 ld(A,mult(mult(B,C),A)) = mult(ld(A,mult(B,A)),ld(A,mult(C,A))) # label(c09) # label(axiom). [assumption].
% 69.13/69.42 10 mult(ld(A,mult(B,A)),ld(A,mult(C,A))) = ld(A,mult(mult(B,C),A)). [copy(9),flip(a)].
% 69.13/69.42 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].
% 69.13/69.42 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)].
% 69.13/69.42 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].
% 69.13/69.42 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)].
% 69.13/69.42 15 mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)) # label(goals) # label(negated_conjecture) # answer(goals). [assumption].
% 69.13/69.42 21 rd(A,ld(B,A)) = B. [para(3(a,1),6(a,1,1))].
% 69.13/69.42 22 mult(i(A),A) = unit. [para(1(a,1),7(a,1,2))].
% 69.13/69.42 24 ld(A,B) = mult(i(A),B). [para(3(a,1),7(a,1,2)),flip(a)].
% 69.13/69.42 27 rd(A,mult(B,A)) = i(B). [para(7(a,1),6(a,1,1))].
% 69.13/69.42 28 i(i(A)) = A. [back_rewrite(21),rewrite([24(1),27(3)])].
% 69.13/69.42 29 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([24(4),24(9),24(16)])].
% 69.13/69.42 30 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([24(2),24(5),24(10)])].
% 69.13/69.42 31 mult(A,mult(i(A),B)) = B. [back_rewrite(3),rewrite([24(1)])].
% 69.13/69.42 33 mult(A,i(A)) = unit. [para(2(a,1),8(a,1,1))].
% 69.13/69.42 34 rd(A,B) = mult(A,i(B)). [para(5(a,1),8(a,1,1)),flip(a)].
% 69.13/69.42 35 mult(i(mult(A,B)),A) = i(B). [para(8(a,1),7(a,1,2))].
% 69.13/69.42 37 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([34(4),34(9),34(16)])].
% 69.13/69.42 38 mult(mult(A,i(B)),B) = A. [back_rewrite(5),rewrite([34(1)])].
% 69.13/69.42 41 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),29(a,1,1,1,1)),rewrite([7(9),7(16)])].
% 69.13/69.42 44 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),29(a,2,2,2)),rewrite([22(5),1(5),35(4),28(2)])].
% 69.13/69.42 46 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),29(a,1,1,1,1)),rewrite([8(9),8(16)])].
% 69.13/69.42 51 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(22(a,1),29(a,1,2,2)),rewrite([35(3),28(2),35(8),28(7),1(7),35(9),28(8)])].
% 69.13/69.42 53 mult(i(A),mult(i(mult(B,A)),mult(B,mult(A,C)))) = mult(i(mult(B,A)),mult(B,C)). [para(33(a,1),29(a,1,1,2,2)),rewrite([1(4),35(3),31(12)])].
% 69.13/69.42 60 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(31(a,1),29(a,1,1,1,1)),rewrite([31(9),31(16)])].
% 69.13/69.42 61 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(31(a,1),29(a,1,1,2,2))].
% 69.13/69.42 62 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(31(a,1),29(a,1,2,2,2))].
% 69.13/69.42 63 i(mult(A,B)) = mult(i(B),i(A)). [para(7(a,1),35(a,1,1,1)),flip(a)].
% 69.13/69.42 64 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(62),rewrite([63(2),63(8),63(14)])].
% 69.13/69.42 65 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(61),rewrite([63(2),63(7),63(14)])].
% 69.13/69.42 70 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(53),rewrite([63(3),63(10)])].
% 69.13/69.42 72 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(51),rewrite([63(2),63(9)])].
% 69.13/69.42 76 mult(A,mult(mult(A,i(B)),mult(B,mult(i(A),C)))) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(44),rewrite([63(3),28(2),63(10),28(9)])].
% 69.13/69.42 78 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(37),rewrite([63(4),63(10),63(18)])].
% 69.13/69.42 81 mult(i(A),mult(mult(A,B),A)) = mult(B,A). [para(7(a,1),30(a,1,1)),rewrite([31(4)]),flip(a)].
% 69.13/69.42 82 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),30(a,1,2,2)),rewrite([63(2),63(8),63(13)])].
% 69.13/69.42 86 mult(mult(A,B),mult(A,mult(C,i(A)))) = mult(A,mult(mult(mult(B,A),C),i(A))). [para(8(a,1),30(a,1,1,2)),rewrite([28(2),28(3),28(7)])].
% 69.13/69.42 87 mult(mult(A,mult(B,i(A))),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),i(A))). [para(8(a,1),30(a,1,2,2)),rewrite([28(2),28(5),28(7)])].
% 69.13/69.42 94 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(31(a,1),30(a,1,2,2)),rewrite([63(3),28(3),63(9),28(9),63(13),28(13)])].
% 69.13/69.42 96 mult(mult(i(A),B),mult(i(A),mult(C,A))) = mult(i(A),mult(mult(mult(B,i(A)),C),A)). [para(38(a,1),30(a,1,1,2))].
% 69.13/69.42 97 mult(mult(i(A),mult(B,A)),mult(i(A),C)) = mult(i(A),mult(mult(B,mult(C,i(A))),A)). [para(38(a,1),30(a,1,2,2))].
% 69.13/69.42 101 mult(mult(i(A),i(B)),mult(mult(B,A),C)) = C. [para(63(a,1),7(a,1,1))].
% 69.13/69.42 102 mult(mult(A,mult(B,C)),mult(i(C),i(B))) = A. [para(63(a,1),8(a,1,2))].
% 69.13/69.42 103 mult(mult(i(A),i(B)),mult(B,A)) = unit. [para(63(a,1),22(a,1,1))].
% 69.13/69.42 104 mult(mult(A,B),mult(i(B),i(A))) = unit. [para(63(a,1),33(a,1,2))].
% 69.13/69.42 105 mult(mult(A,B),mult(mult(i(B),i(A)),C)) = C. [para(63(a,1),31(a,1,2,1))].
% 69.13/69.42 106 mult(mult(A,mult(i(B),i(C))),mult(C,B)) = A. [para(63(a,1),38(a,1,1,2))].
% 69.13/69.42 108 mult(mult(i(A),B),mult(i(B),A)) = unit. [para(28(a,1),103(a,1,1,2))].
% 69.13/69.42 115 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(41(a,1),7(a,1,2)),rewrite([63(7),63(5),63(3),63(3),28(7),28(8)])].
% 69.13/69.42 117 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),41(a,1,1,2,2,1)),rewrite([28(2),63(2),28(8),63(8),8(12),28(15),63(15),8(19)])].
% 69.13/69.42 120 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(28(a,1),41(a,1,1,1)),rewrite([28(8),28(15)])].
% 69.13/69.42 121 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(33(a,1),41(a,1,1,2,2)),rewrite([1(4),63(15),105(18)])].
% 69.13/69.42 124 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(31(a,1),41(a,1,1,2,2)),rewrite([63(16)])].
% 69.13/69.42 148 mult(mult(A,B),A) = mult(A,mult(B,A)). [para(81(a,1),7(a,1,2)),rewrite([28(2)]),flip(a)].
% 69.13/69.42 149 mult(mult(A,B),i(A)) = mult(A,mult(B,i(A))). [para(7(a,1),81(a,1,2,1)),rewrite([28(2)]),flip(a)].
% 69.13/69.42 152 mult(mult(i(A),i(B)),mult(B,mult(B,A))) = mult(i(A),mult(B,A)). [para(8(a,1),81(a,1,2,1)),rewrite([63(2)])].
% 69.13/69.42 153 mult(mult(i(A),B),A) = mult(i(A),mult(B,A)). [para(31(a,1),81(a,1,2,1)),flip(a)].
% 69.13/69.42 159 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(72),rewrite([148(7)])].
% 69.13/69.42 165 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(94),rewrite([153(9)])].
% 69.13/69.42 167 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(82),rewrite([153(10)])].
% 69.13/69.42 169 mult(mult(i(A),i(B)),mult(B,mult(A,B))) = B. [para(148(a,1),7(a,1,2)),rewrite([63(2)])].
% 69.13/69.42 171 mult(mult(A,B),mult(i(B),mult(A,B))) = mult(A,mult(A,B)). [para(8(a,1),148(a,1,1)),flip(a)].
% 69.13/69.42 181 mult(mult(i(A),B),mult(mult(i(B),A),C)) = C. [para(28(a,1),101(a,1,1,2))].
% 69.13/69.42 187 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(46(a,1),7(a,1,2)),rewrite([63(7),63(5),63(3),28(3),63(4),28(8)])].
% 69.13/69.42 189 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),46(a,1,1,2,2))].
% 69.13/69.42 191 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),46(a,2,2,2)),rewrite([22(4),1(4),7(3)])].
% 69.13/69.42 208 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(148(a,1),46(a,1,1,2)),rewrite([63(3),28(3),31(7),181(6),63(3),28(3),153(5),97(8),63(13),28(13),153(15),97(19)]),flip(a)].
% 69.13/69.42 215 mult(mult(A,mult(i(B),C)),mult(i(C),B)) = A. [para(28(a,1),102(a,1,2,2))].
% 69.13/69.42 234 mult(mult(A,mult(i(B),i(A))),mult(mult(A,mult(B,i(A))),C)) = C. [para(149(a,1),101(a,1,2,1)),rewrite([28(2),63(2)])].
% 69.13/69.42 260 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(101(a,1),60(a,1,1,2,2)),rewrite([28(2),28(4),28(11)])].
% 69.13/69.42 261 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(101(a,1),60(a,1,2,2,2)),rewrite([28(2),28(8),28(11)])].
% 69.13/69.42 270 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(149(a,1),60(a,1,1,2,2)),rewrite([28(4),31(5),7(3),28(12)]),flip(a)].
% 69.13/69.42 271 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(149(a,1),60(a,1,2,2,2)),rewrite([28(10),31(11),7(9),28(12)])].
% 69.13/69.42 274 mult(mult(i(A),B),mult(i(B),mult(A,B))) = B. [para(153(a,1),7(a,1,2)),rewrite([63(3),28(3)])].
% 69.13/69.42 278 mult(mult(i(A),mult(i(B),A)),mult(mult(i(A),mult(B,A)),C)) = C. [para(153(a,1),101(a,1,2,1)),rewrite([63(4),28(4)])].
% 69.13/69.42 284 mult(mult(i(A),mult(B,A)),mult(i(B),A)) = mult(mult(i(A),B),mult(A,mult(i(B),A))). [para(153(a,1),149(a,1,1)),rewrite([63(6),28(6),63(11),28(11)])].
% 69.13/69.42 315 mult(mult(A,i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(A,i(B)),mult(B,C))). [para(7(a,1),64(a,2,2,2)),rewrite([28(2),22(4),1(4),38(3),28(2),28(7),28(9)]),flip(a)].
% 69.13/69.42 368 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(169(a,1),64(a,1,1,2)),rewrite([63(5),28(3),28(3),7(3),63(6),28(4),28(4),7(4),63(12),28(10),28(10),7(10)]),flip(a)].
% 69.13/69.42 409 mult(mult(i(A),B),mult(mult(A,B),mult(i(B),A))) = mult(i(A),mult(mult(B,A),A)). [para(274(a,1),148(a,2,2)),rewrite([284(6),165(10),153(11)])].
% 69.13/69.42 420 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(65(a,1),7(a,1,2)),rewrite([63(6),63(2),63(7),28(5),28(5)])].
% 69.13/69.42 425 mult(mult(mult(A,i(B)),mult(B,C)),A) = mult(mult(A,i(B)),mult(B,mult(C,A))). [para(22(a,1),65(a,1,2,2,2)),rewrite([28(2),28(6),1(8),38(7),28(7),28(10),148(10),7(11)])].
% 69.13/69.42 442 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(104(a,1),65(a,1,2,2)),rewrite([28(2),63(2),31(4),28(6),63(6),31(8),1(7),148(6),28(8),63(8),31(10),28(11)]),flip(a)].
% 69.13/69.42 455 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(102(a,1),65(a,1,1,2)),rewrite([63(4),63(3),63(12),63(11),63(25),63(24)])].
% 69.13/69.42 461 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(106(a,1),65(a,1,1,2)),rewrite([63(6),63(5),28(3),28(3),63(12),63(11),28(9),28(9),63(25),63(24),28(22),28(22)])].
% 69.13/69.42 731 mult(mult(i(A),i(B)),mult(B,mult(A,C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(70(a,1),7(a,1,2)),rewrite([28(2)]),flip(a)].
% 69.13/69.42 736 mult(mult(A,i(B)),mult(B,A)) = mult(A,A). [para(22(a,1),70(a,1,2,2,2)),rewrite([28(2),28(2),1(4),38(3),28(3)]),flip(a)].
% 69.13/69.42 753 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(102(a,1),70(a,1,2,2)),rewrite([28(2),28(2),63(3),63(2),28(10),63(11),63(10)]),flip(a)].
% 69.13/69.42 756 mult(mult(mult(i(A),i(B)),mult(B,C)),A) = mult(mult(i(A),i(B)),mult(B,mult(C,A))). [para(70(a,1),149(a,1,1)),rewrite([28(7),731(13),28(15),148(14),159(14),7(15)])].
% 69.13/69.42 777 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(274(a,1),70(a,1,2,2,2)),rewrite([63(3),28(3),63(5),28(5),63(12),28(12)]),flip(a)].
% 69.13/69.42 865 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(420),rewrite([731(14),731(21)])].
% 69.13/69.42 888 mult(mult(A,i(B)),mult(B,B)) = mult(A,B). [para(736(a,1),7(a,1,2)),rewrite([63(3),28(2)])].
% 69.13/69.42 889 mult(mult(A,mult(B,A)),B) = mult(mult(A,B),mult(A,B)). [para(7(a,1),736(a,1,2)),rewrite([28(3),148(2)])].
% 69.13/69.42 891 mult(mult(A,B),mult(A,B)) = mult(A,mult(B,mult(A,B))). [para(8(a,1),736(a,1,1)),flip(a)].
% 69.13/69.42 893 mult(mult(A,B),mult(i(B),A)) = mult(A,A). [para(28(a,1),736(a,1,1,2))].
% 69.13/69.42 894 mult(mult(A,mult(A,i(B))),B) = mult(A,A). [para(38(a,1),736(a,1,2)),rewrite([63(3),28(2)])].
% 69.13/69.42 898 mult(mult(A,B),mult(i(B),i(B))) = mult(A,i(B)). [para(736(a,1),105(a,1,2))].
% 69.13/69.42 911 mult(mult(A,mult(B,A)),B) = mult(A,mult(B,mult(A,B))). [back_rewrite(889),rewrite([891(6)])].
% 69.13/69.42 912 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(mult(B,A),A)). [back_rewrite(409),rewrite([893(6)])].
% 69.13/69.42 937 mult(mult(A,B),B) = mult(A,mult(B,B)). [para(8(a,1),888(a,1,1)),flip(a)].
% 69.13/69.42 971 mult(mult(i(A),B),mult(A,A)) = mult(i(A),mult(B,mult(A,A))). [back_rewrite(912),rewrite([937(7)])].
% 69.13/69.42 988 mult(mult(A,mult(B,B)),i(B)) = mult(A,B). [para(937(a,1),8(a,1,1))].
% 69.13/69.42 1002 mult(mult(A,mult(B,mult(C,mult(B,C)))),mult(i(C),i(B))) = mult(A,mult(B,C)). [para(937(a,1),102(a,1,1)),rewrite([891(3)])].
% 69.13/69.42 1164 mult(mult(A,A),B) = mult(A,mult(A,B)). [para(894(a,1),38(a,1,1)),rewrite([28(4)])].
% 69.13/69.42 1172 mult(mult(A,mult(A,B)),B) = mult(A,mult(A,mult(B,B))). [para(894(a,1),888(a,1,1)),rewrite([1164(3),28(5)]),flip(a)].
% 69.13/69.42 1253 mult(mult(A,mult(A,mult(B,B))),i(B)) = mult(A,mult(A,B)). [para(1164(a,1),988(a,1,1)),rewrite([1164(7)])].
% 69.13/69.42 1263 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(i(A),mult(mult(A,i(B)),mult(B,C))). [para(76(a,1),7(a,1,2)),flip(a)].
% 69.13/69.42 1442 mult(mult(A,mult(B,mult(A,B))),C) = mult(mult(A,B),mult(mult(A,B),C)). [para(891(a,1),1164(a,1,1))].
% 69.13/69.42 1460 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(33(a,1),78(a,1,2,1)),rewrite([63(3),63(7),63(9),28(7),28(7),8(8),63(9),63(11),28(9),28(9),8(10),2(8),937(7),63(11),63(15),63(17),28(15),28(15),8(16)]),flip(a)].
% 69.13/69.42 1673 mult(mult(A,mult(B,A)),i(B)) = mult(mult(A,B),mult(A,i(B))). [para(911(a,1),898(a,1,1)),rewrite([1442(7),898(6)]),flip(a)].
% 69.13/69.42 1801 mult(A,mult(mult(mult(B,A),mult(C,A)),i(A))) = mult(mult(A,B),mult(A,C)). [para(8(a,1),86(a,1,2,2)),flip(a)].
% 69.13/69.42 1804 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(86(a,1),63(a,1,1)),rewrite([63(6),63(5),28(2),63(3),63(3),149(8),63(12),63(11),28(10),149(12),63(14)]),flip(a)].
% 69.13/69.42 1895 mult(mult(i(A),B),mult(A,B)) = mult(i(A),mult(B,mult(A,B))). [para(7(a,1),1172(a,1,1,2)),rewrite([891(9),7(10)])].
% 69.13/69.42 2027 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(87(a,1),63(a,1,1)),rewrite([63(6),63(5),28(2),63(3),63(2),149(8),63(10),63(15),63(14),28(13),149(15)]),flip(a)].
% 69.13/69.42 2462 mult(mult(A,B),mult(i(B),mult(i(A),C))) = mult(i(B),mult(i(A),mult(mult(A,B),C))). [para(22(a,1),115(a,1,1,1,1)),rewrite([2(2),105(9)])].
% 69.13/69.42 2494 mult(mult(i(A),B),mult(i(B),mult(A,C))) = mult(i(B),mult(A,mult(mult(i(A),B),C))). [para(181(a,1),115(a,1,2,2,2)),rewrite([63(3),28(3),28(5),108(5),2(3),28(5),28(9)])].
% 69.13/69.42 2729 mult(i(A),mult(B,mult(mult(i(B),i(A)),mult(A,C)))) = mult(B,mult(mult(i(B),i(A)),C)). [para(33(a,1),117(a,1,1,2,2)),rewrite([1(5),31(4),31(14)])].
% 69.13/69.42 3210 mult(mult(i(A),mult(B,mult(A,B))),mult(i(B),i(A))) = mult(i(A),B). [para(7(a,1),1253(a,2,2)),rewrite([891(5),7(6),63(6)])].
% 69.13/69.42 3212 mult(mult(A,mult(B,mult(i(A),B))),mult(i(B),A)) = mult(A,B). [para(31(a,1),1253(a,2,2)),rewrite([891(5),31(6),63(7),28(7)])].
% 69.13/69.42 3215 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(101(a,1),1253(a,2,2)),rewrite([891(11),101(12),63(10),63(10)])].
% 69.13/69.42 3313 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(148(a,1),120(a,1,2,2,2)),rewrite([7(11),31(9)])].
% 69.13/69.42 3324 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(153(a,1),120(a,1,2,2,2)),rewrite([28(2),28(8),31(11),31(9),28(9)])].
% 69.13/69.42 3617 mult(mult(A,B),mult(A,mult(B,C))) = mult(A,mult(B,mult(mult(A,B),C))). [para(101(a,1),121(a,1,2,2,2)),rewrite([28(2),28(2),28(3),28(3),28(6),28(6)])].
% 69.13/69.42 3634 mult(mult(A,i(B)),mult(A,B)) = mult(A,mult(i(B),mult(A,B))). [para(736(a,1),121(a,1,2,2,2)),rewrite([28(2),28(4),7(5),28(6)])].
% 69.13/69.42 4058 mult(mult(A,mult(B,C)),mult(A,B)) = mult(A,mult(B,mult(C,mult(A,B)))). [para(103(a,1),124(a,1,2,2,2)),rewrite([28(2),28(2),28(4),28(4),1(4),28(6),28(6),28(9),28(9),148(11),101(12)])].
% 69.13/69.42 7498 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(63(a,1),152(a,1,1,1)),rewrite([63(11)])].
% 69.13/69.42 7513 mult(mult(i(A),i(B)),mult(A,mult(B,A))) = mult(i(A),mult(mult(i(B),mult(A,B)),A)). [para(152(a,1),86(a,2,2,1)),rewrite([28(8),148(7),148(6),7(8),28(12)])].
% 69.13/69.42 7518 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(87(a,1),152(a,1,2,2)),rewrite([63(2),63(7),63(6),28(5),149(7),2027(8),86(17),38(11),86(15),38(8),7498(9),63(11),87(17)]),flip(a)].
% 69.13/69.42 7955 mult(mult(i(A),mult(B,A)),B) = mult(i(A),mult(B,mult(A,B))). [para(3212(a,1),152(a,1,2,2)),rewrite([63(3),28(3),63(7),63(6),63(5),28(5),148(6),1673(8),181(9),4058(9),1895(7),731(10),31(8),7513(6),31(7),63(7),28(7),3212(13),1895(8)])].
% 69.13/69.42 8026 mult(mult(A,B),mult(B,A)) = mult(A,mult(B,mult(B,A))). [para(8(a,1),3634(a,1,2)),rewrite([28(3),937(2),148(3),1164(2),28(6),8(7)]),flip(a)].
% 69.13/69.42 8392 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(102(a,1),8026(a,1,2)),rewrite([102(18),148(13)])].
% 69.13/69.42 10087 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(86(a,1),7955(a,2,2,2)),rewrite([63(2),87(8),7518(9),86(13),38(9),8392(7),63(12),86(22),38(16)]),flip(a)].
% 69.13/69.42 11687 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(148(a,1),167(a,1,1,2)),rewrite([101(8)]),flip(a)].
% 69.13/69.42 12161 mult(mult(mult(A,B),mult(i(B),i(C))),C) = mult(i(C),mult(mult(C,B),mult(i(B),A))). [para(22(a,1),187(a,1,2,2,2,2)),rewrite([28(2),1(11),8(10),22(8),1(8)])].
% 69.13/69.42 12204 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(1460),rewrite([12161(7)]),flip(a)].
% 69.13/69.42 12414 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(171(a,1),189(a,1,2,2)),rewrite([7(8)]),flip(a)].
% 69.13/69.42 12829 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(149(a,1),191(a,1,2,2,1)),rewrite([63(3),28(9),87(9),63(13),149(17)])].
% 69.13/69.42 12830 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(153(a,1),191(a,1,2,2,1)),rewrite([63(3),28(3),97(8),63(13),28(13),153(15)])].
% 69.13/69.42 16787 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(86(a,1),3210(a,1,1,2,2)),rewrite([63(2),86(12),38(6),10087(10),63(14),63(13),28(12),149(14),63(16),1804(18),86(19),38(10),3215(13),63(9)]),flip(a)].
% 69.13/69.42 16794 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(12829),rewrite([16787(10),425(9),8(7),7(8)]),flip(a)].
% 69.13/69.42 16863 mult(A,mult(mult(i(A),i(B)),mult(B,mult(mult(B,A),C)))) = mult(B,mult(A,C)). [para(3617(a,1),7(a,1,2)),rewrite([63(2),731(8)])].
% 69.13/69.42 16879 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(102(a,1),3617(a,1,1)),rewrite([102(19)]),flip(a)].
% 69.13/69.42 17234 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(mult(A,B),mult(i(B),mult(C,A))). [para(8(a,1),4058(a,1,2)),rewrite([8(10)])].
% 69.13/69.42 17235 mult(A,mult(B,mult(mult(i(B),C),mult(A,B)))) = mult(mult(A,C),mult(A,B)). [para(31(a,1),4058(a,1,1,2)),flip(a)].
% 69.13/69.42 17345 mult(mult(A,B),mult(mult(C,mult(A,B)),i(B))) = mult(A,mult(B,mult(C,A))). [para(4058(a,1),191(a,2,2)),rewrite([63(6),16879(10),38(8),7(8),7(12)])].
% 69.13/69.42 18114 mult(mult(A,mult(B,C)),mult(i(B),i(A))) = mult(A,mult(B,mult(C,mult(i(B),i(A))))). [para(149(a,1),260(a,2,2,2,2)),rewrite([63(7),891(9),31(10),31(8),63(12),101(16)])].
% 69.13/69.42 19223 mult(mult(mult(A,B),mult(C,B)),i(B)) = mult(i(B),mult(mult(B,A),mult(B,C))). [para(1801(a,1),7(a,1,2)),flip(a)].
% 69.13/69.42 19248 mult(i(A),mult(mult(mult(A,B),mult(A,C)),A)) = mult(mult(B,A),mult(C,A)). [para(1801(a,1),87(a,2,2,1)),rewrite([28(3),7(3),31(6),28(9)]),flip(a)].
% 69.13/69.42 19301 mult(mult(mult(A,B),mult(A,C)),A) = mult(A,mult(mult(B,A),mult(C,A))). [para(1801(a,1),208(a,2,2,2,2,1)),rewrite([22(2),149(8),19223(7),31(8),148(7),7(8),2(6),22(6),19248(11),2(9)])].
% 69.13/69.42 19441 mult(A,mult(mult(i(A),mult(B,A)),mult(C,A))) = mult(mult(B,mult(A,C)),A). [para(31(a,1),19301(a,1,1,1)),rewrite([153(6)]),flip(a)].
% 69.13/69.42 19442 mult(A,mult(mult(B,A),mult(i(A),mult(C,A)))) = mult(mult(mult(A,B),C),A). [para(31(a,1),19301(a,1,1,2)),rewrite([153(7)]),flip(a)].
% 69.13/69.42 19535 mult(mult(i(A),B),mult(mult(i(B),mult(A,B)),C)) = mult(mult(B,i(A)),mult(A,C)). [back_rewrite(12830),rewrite([19442(10),425(7),38(5)]),flip(a)].
% 69.13/69.42 20659 mult(mult(A,B),mult(i(B),mult(mult(B,C),A))) = mult(mult(mult(A,B),C),A). [para(8(a,1),17235(a,1,2,2,2)),rewrite([28(4),8(11)])].
% 69.13/69.42 20673 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(153(a,1),17235(a,1,2,2,2)),rewrite([96(8),31(9),153(13)]),flip(a)].
% 69.13/69.42 20864 mult(mult(A,B),mult(i(B),mult(C,mult(A,B)))) = mult(A,mult(mult(C,A),B)). [para(8(a,1),17345(a,1,1)),rewrite([8(3),28(3)]),flip(a)].
% 69.13/69.42 20873 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(148(a,1),17345(a,1,2,1))].
% 69.13/69.42 20973 mult(mult(mult(mult(A,B),C),A),B) = mult(mult(A,B),mult(mult(C,A),B)). [para(17345(a,1),208(a,2,2,2,2,1)),rewrite([63(2),153(4),20873(13),96(13),8(5),7(8),148(6),7(7),63(7),153(9),96(16),8(10),7(11),148(9),7(10)])].
% 69.13/69.42 21023 mult(mult(i(A),mult(mult(A,B),C)),mult(A,B)) = mult(mult(mult(B,C),A),B). [back_rewrite(12414),rewrite([20864(8),7(6)]),flip(a)].
% 69.13/69.42 21224 mult(mult(mult(A,B),i(C)),mult(C,A)) = mult(A,mult(mult(B,i(C)),mult(C,A))). [para(7(a,1),20973(a,1,1,1,1)),rewrite([7(8)])].
% 69.13/69.42 21228 mult(mult(A,B),mult(mult(mult(mult(i(B),i(A)),C),A),B)) = mult(mult(C,A),B). [para(31(a,1),20973(a,1,1,1)),rewrite([63(5)]),flip(a)].
% 69.13/69.42 21935 mult(mult(i(A),mult(B,A)),mult(C,A)) = mult(i(A),mult(mult(B,mult(A,C)),A)). [para(19441(a,1),7(a,1,2)),flip(a)].
% 69.13/69.42 21942 mult(mult(mult(A,i(B)),mult(B,C)),B) = mult(B,mult(mult(i(B),A),mult(C,B))). [para(38(a,1),19441(a,1,2,1,2)),flip(a)].
% 69.13/69.42 21943 mult(mult(A,mult(B,mult(C,i(B)))),B) = mult(B,mult(mult(i(B),mult(A,B)),C)). [para(38(a,1),19441(a,1,2,2)),flip(a)].
% 69.13/69.42 22089 mult(mult(A,mult(B,C)),mult(A,C)) = mult(A,mult(mult(B,mult(C,A)),C)). [para(19441(a,1),4058(a,2,2)),rewrite([31(4)])].
% 69.13/69.42 22718 mult(mult(A,B),mult(i(B),mult(C,B))) = mult(i(B),mult(mult(mult(B,A),C),B)). [para(19442(a,1),7(a,1,2)),flip(a)].
% 69.13/69.42 22726 mult(mult(mult(A,B),mult(C,i(A))),A) = mult(A,mult(mult(B,A),mult(i(A),C))). [para(38(a,1),19442(a,1,2,2,2)),flip(a)].
% 69.13/69.42 22860 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(19442(a,1),261(a,2,2,2,2)),rewrite([153(4),31(5),31(3),31(4)]),flip(a)].
% 69.13/69.42 22990 mult(mult(i(A),i(B)),mult(mult(mult(B,A),C),B)) = mult(i(A),mult(mult(A,C),B)). [para(20659(a,1),7(a,1,2)),rewrite([63(2)])].
% 69.13/69.42 23240 mult(i(A),mult(mult(A,B),mult(C,mult(A,B)))) = mult(B,mult(mult(C,A),B)). [para(20864(a,1),191(a,1,2,2)),rewrite([7(5)]),flip(a)].
% 69.13/69.42 23261 mult(mult(A,B),mult(mult(i(B),C),mult(A,B))) = mult(mult(A,mult(C,A)),B). [para(20864(a,1),260(a,1,2)),rewrite([28(6),63(6),31(8),22(6),2(6),148(6),28(10),63(10),31(12),8(12),2462(15),23240(14),148(9),7(12)])].
% 69.13/69.42 23365 mult(mult(mult(mult(A,B),C),i(A)),mult(A,B)) = mult(mult(A,mult(B,C)),B). [para(7(a,1),21023(a,1,1,2,1)),rewrite([28(2),7(5)]),flip(a)].
% 69.13/69.42 23477 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(11687),rewrite([23365(9)]),flip(a)].
% 69.13/69.42 23652 mult(mult(A,B),mult(C,mult(A,B))) = mult(A,mult(B,mult(mult(C,A),B))). [para(23240(a,1),7(a,1,2)),rewrite([28(2)]),flip(a)].
% 69.13/69.42 23760 mult(A,mult(B,mult(mult(mult(i(B),C),A),B))) = mult(mult(A,mult(C,A)),B). [back_rewrite(23261),rewrite([23652(6)])].
% 69.13/69.42 23884 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(23652(a,1),270(a,2,2,2,2)),rewrite([31(18),7(16)])].
% 69.13/69.42 23913 mult(A,mult(B,mult(mult(i(B),i(A)),mult(C,B)))) = mult(mult(C,i(A)),mult(A,B)). [para(31(a,1),23365(a,1,1,1)),rewrite([63(6),3324(11)]),flip(a)].
% 69.13/69.42 23919 mult(i(A),mult(B,mult(mult(i(B),A),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [para(181(a,1),23365(a,1,1,1)),rewrite([28(2),271(11)]),flip(a)].
% 69.13/69.42 23925 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(23365(a,1),937(a,1,1)),rewrite([891(12)]),flip(a)].
% 69.13/69.42 23930 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(23365(a,1),86(a,2,2,1)),rewrite([28(8),148(7),7(8),28(12)])].
% 69.13/69.42 23986 mult(mult(A,mult(mult(B,C),A)),B) = mult(A,mult(B,mult(mult(C,A),B))). [para(20659(a,1),23365(a,1,1,1)),rewrite([8(5),148(4),23652(4),31(9)]),flip(a)].
% 69.13/69.42 23996 mult(mult(mult(mult(A,B),C),i(B)),mult(B,A)) = mult(A,mult(B,mult(C,A))). [back_rewrite(22860),rewrite([23913(9)])].
% 69.13/69.42 24008 mult(mult(i(A),mult(B,mult(mult(i(B),A),C))),B) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(271),rewrite([23919(14)])].
% 69.13/69.42 24013 mult(mult(A,mult(B,A)),mult(B,C)) = mult(A,mult(mult(B,mult(A,B)),C)). [para(8(a,1),23986(a,1,1,2,1)),rewrite([23652(10),23760(10)])].
% 69.13/69.42 24260 mult(A,mult(mult(B,mult(A,B)),mult(i(B),C))) = mult(mult(A,mult(B,A)),C). [para(31(a,1),24013(a,1,2)),flip(a)].
% 69.13/69.42 24650 mult(i(A),mult(mult(mult(A,mult(B,C)),B),A)) = mult(B,mult(mult(C,B),A)). [para(8(a,1),23996(a,1,1,1,1)),rewrite([28(3),22718(6),20864(12)])].
% 69.13/69.42 24678 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(86(a,1),23996(a,1,1,1)),rewrite([21224(9),148(13),38(12)])].
% 69.13/69.42 24750 mult(mult(A,mult(mult(A,B),C)),mult(A,B)) = mult(A,mult(mult(A,mult(B,mult(C,A))),B)). [para(23996(a,1),22089(a,2,2,1)),rewrite([38(5)])].
% 69.13/69.42 24763 mult(mult(i(A),mult(mult(A,B),C)),mult(B,A)) = mult(B,mult(mult(C,B),A)). [back_rewrite(23930),rewrite([24650(12)])].
% 69.13/69.42 24925 mult(mult(mult(A,mult(B,C)),B),A) = mult(A,mult(B,mult(mult(C,B),A))). [para(24650(a,1),7(a,1,2)),rewrite([28(2)]),flip(a)].
% 69.13/69.42 25012 mult(A,mult(B,mult(mult(i(B),mult(C,B)),A))) = mult(mult(mult(A,C),B),A). [para(31(a,1),24925(a,1,1,1,2)),rewrite([153(6)]),flip(a)].
% 69.13/69.42 25016 mult(mult(A,mult(mult(i(A),mult(B,A)),C)),B) = mult(B,mult(A,mult(C,B))). [para(38(a,1),24925(a,2,2,2,1)),rewrite([21943(5)])].
% 69.13/69.42 25314 mult(mult(A,B),mult(i(B),mult(C,A))) = mult(A,mult(mult(C,i(B)),mult(B,A))). [para(31(a,1),25012(a,1,2,2,1,2)),rewrite([63(5),28(5),153(5),19535(7),17234(10)]),flip(a)].
% 69.13/69.42 25382 mult(mult(A,B),mult(i(B),mult(C,mult(B,A)))) = mult(mult(mult(A,C),B),A). [para(25012(a,1),17345(a,2)),rewrite([21935(6),148(8),8(7)])].
% 69.13/69.42 25385 mult(mult(A,B),mult(mult(C,mult(B,A)),i(A))) = mult(mult(A,mult(B,C)),B). [para(23365(a,1),25012(a,2)),rewrite([28(4),87(7),7(8)])].
% 69.13/69.42 25394 mult(A,mult(B,mult(mult(C,mult(A,B)),i(B)))) = mult(mult(mult(A,B),C),A). [back_rewrite(20659),rewrite([25314(6),149(3),87(5)])].
% 69.13/69.42 25395 mult(mult(mult(A,B),mult(i(B),C)),A) = mult(A,mult(mult(C,i(B)),mult(B,A))). [back_rewrite(17234),rewrite([25314(10)])].
% 69.13/69.42 25398 mult(mult(mult(A,B),mult(i(B),i(C))),mult(C,C)) = mult(mult(A,i(B)),mult(B,C)). [back_rewrite(12204),rewrite([25314(13),7(14)])].
% 69.13/69.42 25497 mult(mult(i(A),i(B)),mult(mult(mult(B,C),A),B)) = mult(i(A),mult(C,mult(A,B))). [para(25382(a,1),7(a,1,2)),rewrite([63(2)])].
% 69.13/69.42 25505 mult(mult(mult(A,mult(B,mult(i(A),i(C)))),C),A) = mult(mult(A,C),mult(i(C),B)). [para(38(a,1),25382(a,1,2,2)),rewrite([63(6)]),flip(a)].
% 69.13/69.42 25589 mult(mult(mult(mult(A,B),C),B),A) = mult(mult(A,B),mult(mult(C,B),A)). [para(24763(a,1),25382(a,1,2,2)),rewrite([7(6),31(9)]),flip(a)].
% 69.13/69.42 25688 mult(mult(A,mult(B,mult(i(A),i(C)))),C) = mult(mult(A,C),mult(i(C),mult(B,i(A)))). [para(17345(a,1),368(a,2,2,2)),rewrite([28(11),22718(12),31(13),22990(11),31(9),31(14)])].
% 69.13/69.42 25692 mult(A,mult(mult(mult(B,i(A)),i(C)),mult(C,A))) = mult(mult(A,C),mult(i(C),B)). [back_rewrite(25505),rewrite([25688(6),25395(7)])].
% 69.13/69.42 25693 mult(mult(A,B),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(A,C))). [back_rewrite(24678),rewrite([25692(9)])].
% 69.13/69.42 25906 mult(mult(i(A),i(B)),mult(mult(B,mult(A,C)),A)) = mult(mult(C,mult(A,B)),i(B)). [para(25385(a,1),7(a,1,2)),rewrite([63(2)])].
% 69.13/69.42 25916 mult(mult(mult(A,mult(B,C)),B),mult(A,B)) = mult(A,mult(B,mult(mult(C,mult(B,A)),B))). [para(25385(a,1),148(a,1,1)),rewrite([23652(13),38(10)])].
% 69.13/69.42 25978 mult(mult(A,mult(B,C)),mult(B,A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25385(a,1),23996(a,1,1,1)),rewrite([8(5),38(9)])].
% 69.13/69.42 25985 mult(mult(A,mult(B,C)),mult(i(C),mult(i(B),C))) = mult(mult(A,mult(C,B)),i(B)). [back_rewrite(23477),rewrite([25906(14)])].
% 69.13/69.42 25986 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(23925),rewrite([25916(13)])].
% 69.13/69.42 25998 mult(A,mult(B,mult(mult(i(B),C),mult(B,A)))) = mult(mult(A,C),mult(B,A)). [para(31(a,1),25978(a,1,1,2)),flip(a)].
% 69.13/69.42 26130 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(25394(a,1),97(a,1)),rewrite([148(5),8(4),20673(7),148(13),8(12),28(13),8(14)])].
% 69.13/69.42 26147 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(25394(a,1),191(a,1,2,2)),rewrite([8(4),8(11),28(11)]),flip(a)].
% 69.13/69.42 26172 mult(A,mult(mult(B,mult(mult(C,mult(A,B)),A)),i(A))) = mult(mult(A,B),mult(mult(C,A),B)). [para(25394(a,1),23365(a,2,1)),rewrite([17345(6),149(5),87(7),22089(4),20973(11)])].
% 69.13/69.42 26179 mult(mult(A,B),mult(mult(C,B),A)) = mult(A,mult(B,mult(C,mult(B,A)))). [para(25394(a,1),25016(a,1,1)),rewrite([31(4),25589(4),31(8),63(10),63(8),28(11),153(10),25985(11),38(9)])].
% 69.13/69.42 26191 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(20673),rewrite([26130(14)])].
% 69.13/69.42 26279 mult(A,mult(B,mult(mult(C,i(B)),mult(B,A)))) = mult(mult(A,B),mult(C,A)). [para(38(a,1),26179(a,1,2,1)),flip(a)].
% 69.13/69.42 26505 mult(i(A),mult(mult(A,B),mult(mult(B,A),C))) = mult(B,mult(B,mult(A,C))). [para(25693(a,1),191(a,1,2,2)),rewrite([7(5)]),flip(a)].
% 69.13/69.42 26527 mult(i(A),mult(B,mult(mult(i(B),A),mult(B,C)))) = mult(mult(B,i(A)),mult(A,C)). [para(270(a,2),25693(a,2)),rewrite([28(4),181(8)]),flip(a)].
% 69.13/69.42 26604 mult(mult(A,i(B)),mult(B,mult(C,mult(i(A),B)))) = mult(A,mult(mult(C,i(A)),B)). [back_rewrite(23884),rewrite([26527(10)])].
% 69.13/69.42 26800 mult(A,mult(mult(B,i(A)),mult(mult(mult(A,i(B)),C),B))) = mult(mult(A,C),B). [para(38(a,1),25998(a,1,2,2,2)),rewrite([63(5),28(4),38(12)])].
% 69.13/69.42 27433 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(425(a,1),888(a,1,1)),rewrite([756(15)])].
% 69.13/69.42 27456 mult(mult(A,i(B)),mult(B,mult(C,A))) = mult(A,mult(mult(C,B),mult(i(B),A))). [para(425(a,1),25394(a,2)),rewrite([28(7),22726(6),7(7)]),flip(a)].
% 69.13/69.42 27465 mult(mult(i(A),i(B)),mult(B,mult(C,A))) = mult(i(A),mult(mult(C,i(B)),mult(B,A))). [back_rewrite(27433),rewrite([27456(7),971(9),25398(8)]),flip(a)].
% 69.13/69.42 27586 mult(mult(A,B),mult(mult(B,A),C)) = mult(A,mult(B,mult(B,mult(A,C)))). [para(26505(a,1),7(a,1,2)),rewrite([28(2)]),flip(a)].
% 69.13/69.42 27594 mult(A,mult(A,mult(B,mult(mult(i(B),i(A)),C)))) = mult(i(B),mult(mult(B,A),C)). [para(31(a,1),26505(a,1,2,2)),rewrite([63(6)]),flip(a)].
% 69.13/69.42 27635 mult(A,mult(A,mult(mult(i(A),i(B)),mult(B,C)))) = mult(mult(A,B),mult(i(B),C)). [para(234(a,1),26505(a,1,2,2)),rewrite([63(4),28(2),28(2),38(5),16794(12)]),flip(a)].
% 69.13/69.42 27637 mult(i(A),mult(i(A),mult(mult(A,i(B)),mult(B,C)))) = mult(mult(i(A),B),mult(i(B),C)). [para(278(a,1),26505(a,1,2,2)),rewrite([63(3),28(3),8(6),19535(14)]),flip(a)].
% 69.13/69.42 28554 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(25382(a,1),442(a,2,2,1)),rewrite([31(8),8(16)])].
% 69.13/69.42 28755 mult(i(A),mult(mult(A,i(B)),mult(B,C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [para(24260(a,1),455(a,2,2,2)),rewrite([28(2),28(3),22(2),2(3),38(3),28(2),28(3),22(2),2(3),22(4),1(4),28(5),1263(8),1263(7),27637(8),28(8),28(9),22(8),2(9),22(10),1(10),28(11),33(11),1(11),1263(12)]),flip(a)].
% 69.13/69.42 28763 mult(mult(A,i(B)),mult(B,mult(i(A),C))) = mult(A,mult(mult(i(A),B),mult(i(B),C))). [back_rewrite(1263),rewrite([28755(12)])].
% 69.13/69.42 28961 mult(i(A),mult(mult(A,B),mult(i(B),C))) = mult(A,mult(mult(i(A),i(B)),mult(B,C))). [para(24260(a,1),461(a,2,2,2)),rewrite([33(3),2(4),38(4),33(4),2(5),28(6),33(6),1(6),28(6),731(8),731(7),27635(8),33(9),2(10),28(11),33(11),1(11),22(11),1(11),731(12)])].
% 69.13/69.42 28962 mult(mult(mult(A,mult(B,C)),B),mult(i(B),i(C))) = mult(i(C),mult(mult(C,A),B)). [back_rewrite(28554),rewrite([28961(10),27456(9),31(10)])].
% 69.13/69.42 29085 mult(A,mult(B,mult(i(A),mult(mult(A,C),B)))) = mult(mult(A,mult(B,C)),B). [para(23365(a,1),1002(a,2)),rewrite([25986(8),18114(9),28962(7)])].
% 69.13/69.42 29128 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(29085(a,1),315(a,2,2)),rewrite([63(5),28(4),26800(10),21942(11)])].
% 69.13/69.42 29814 mult(A,mult(mult(i(A),i(B)),mult(mult(C,B),A))) = mult(i(B),mult(C,mult(B,A))). [para(25012(a,1),731(a,1,2)),rewrite([25497(7),29128(13),31(14)]),flip(a)].
% 69.13/69.42 29961 mult(A,mult(A,mult(mult(i(A),B),mult(i(B),C)))) = mult(mult(A,i(B)),mult(B,C)). [para(215(a,1),753(a,1,2,1)),rewrite([28(3),63(6),63(5),28(5),181(7),28(4),28(7),63(10),63(9),28(9),181(11),28763(10)]),flip(a)].
% 69.13/69.42 30562 mult(mult(mult(i(A),B),i(C)),mult(C,A)) = mult(C,mult(mult(mult(i(C),i(A)),B),A)). [para(777(a,1),731(a,1,2)),rewrite([63(6),28(3),63(4),28(4),7(5),181(12),63(12),28(9),63(10),28(10),7(11),26191(16),22718(17),26604(15),148(13),7(14)])].
% 69.13/69.42 31840 mult(i(A),mult(i(B),mult(mult(B,A),C))) = mult(A,mult(B,mult(mult(i(B),i(A)),C))). [para(3617(a,1),865(a,1,1)),rewrite([28(3),28(4),22(3),2(3),7(3),28(2),28(3),63(3),28(6),38(5),28(5),63(5),38(7),2462(8),28961(7),2729(8),28(8),28(9),63(9),28(12),38(11),2462(12)]),flip(a)].
% 69.13/69.42 31843 mult(i(A),mult(B,mult(mult(i(B),A),C))) = mult(A,mult(i(B),mult(mult(B,i(A)),C))). [para(27586(a,1),865(a,1,2,2,2)),rewrite([63(4),28(3),38(7),153(5),38(4),63(6),28(5),7(6),7(10),31(8),2494(6),63(10),28(9),7(10)])].
% 69.13/69.42 31859 mult(A,mult(i(B),mult(mult(B,i(A)),mult(C,B)))) = mult(mult(C,A),mult(i(A),B)). [back_rewrite(24008),rewrite([31843(6),3313(7)])].
% 69.13/69.42 32121 mult(A,mult(B,mult(i(A),mult(mult(A,C),mult(A,B))))) = mult(mult(A,B),mult(mult(C,A),B)). [para(29085(a,1),16863(a,1,2,2)),rewrite([24750(8),27465(9),149(6),87(8),22089(5),26172(8),31(7)]),flip(a)].
% 69.13/69.42 32899 mult(mult(mult(mult(i(A),i(B)),C),B),A) = mult(mult(i(A),i(B)),mult(mult(C,B),A)). [para(21228(a,1),7(a,1,2)),rewrite([63(2)]),flip(a)].
% 69.13/69.42 32928 mult(mult(mult(mult(A,B),C),i(B)),mult(B,C)) = mult(mult(A,mult(B,C)),C). [para(21228(a,1),23365(a,1,1,1)),rewrite([32899(12),29814(13),31(11)])].
% 69.13/69.42 32980 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(101(a,1),32928(a,1,1,1)),rewrite([28(2),25314(6),149(3),87(5),25394(6),31840(9)]),flip(a)].
% 69.13/69.42 33926 mult(A,mult(mult(i(A),mult(mult(A,B),C)),C)) = mult(mult(A,mult(B,C)),C). [para(22718(a,1),23365(a,1,1,1)),rewrite([30562(9),22990(7),31(10)])].
% 69.13/69.42 33962 mult(i(A),mult(mult(A,B),mult(mult(C,A),B))) = mult(mult(mult(B,C),A),B). [para(101(a,1),33926(a,1,2,1,2)),rewrite([28(3),31840(12),32980(15)])].
% 69.13/69.42 34083 mult(A,mult(i(B),mult(mult(B,C),mult(B,A)))) = mult(mult(mult(A,C),B),A). [back_rewrite(26147),rewrite([33962(6)]),flip(a)].
% 69.13/69.42 34091 mult(mult(A,B),mult(mult(C,A),B)) = mult(A,mult(mult(mult(B,C),A),B)). [back_rewrite(32121),rewrite([34083(6)]),flip(a)].
% 69.13/69.42 34122 mult(i(A),mult(mult(A,B),mult(C,A))) = mult(mult(B,C),A). [para(34091(a,1),7(a,1,2)),rewrite([63(2),27465(8),8(5)])].
% 69.13/69.42 34214 mult(mult(A,B),mult(i(B),C)) = mult(B,mult(mult(i(B),A),C)). [back_rewrite(31859),rewrite([34122(6)]),flip(a)].
% 69.13/69.42 34414 mult(mult(A,i(B)),mult(B,C)) = mult(i(B),mult(mult(B,A),C)). [back_rewrite(29961),rewrite([34214(5),27594(7)]),flip(a)].
% 69.13/69.42 34527 mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)). [back_rewrite(26279),rewrite([34414(4),31(5)]),flip(a)].
% 69.13/69.42 34528 $F # answer(goals). [resolve(34527,a,15,a)].
% 69.13/69.42
% 69.13/69.42 % SZS output end Refutation
% 69.13/69.42 ============================== end of proof ==========================
% 69.13/69.42
% 69.13/69.42 ============================== STATISTICS ============================
% 69.13/69.42
% 69.13/69.42 Given=833. Generated=1111625. Kept=34524. proofs=1.
% 69.13/69.42 Usable=485. Sos=9220. Demods=9803. Limbo=312, Disabled=24518. Hints=0.
% 69.13/69.42 Megabytes=38.55.
% 69.13/69.42 User_CPU=67.71, System_CPU=0.71, Wall_clock=68.
% 69.13/69.42
% 69.13/69.42 ============================== end of statistics =====================
% 69.13/69.42
% 69.13/69.42 ============================== end of search =========================
% 69.13/69.42
% 69.13/69.42 THEOREM PROVED
% 69.13/69.42 % SZS status Unsatisfiable
% 69.13/69.42
% 69.13/69.42 Exiting with 1 proof.
% 69.13/69.42
% 69.13/69.42 Process 31137 exit (max_proofs) Tue Jun 14 01:07:32 2022
% 69.13/69.42 Prover9 interrupted
%------------------------------------------------------------------------------