TSTP Solution File: GRP084-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP084-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 11:17:05 EDT 2022
% Result : Unsatisfiable 33.55s 33.83s
% Output : Refutation 33.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP084-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 03:51:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.18/11.47 ============================== Prover9 ===============================
% 11.18/11.47 Prover9 (32) version 2009-11A, November 2009.
% 11.18/11.47 Process 25676 was started by sandbox2 on n003.cluster.edu,
% 11.18/11.47 Tue Jun 14 03:51:40 2022
% 11.18/11.47 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_25523_n003.cluster.edu".
% 11.18/11.47 ============================== end of head ===========================
% 11.18/11.47
% 11.18/11.47 ============================== INPUT =================================
% 11.18/11.47
% 11.18/11.47 % Reading from file /tmp/Prover9_25523_n003.cluster.edu
% 11.18/11.47
% 11.18/11.47 set(prolog_style_variables).
% 11.18/11.47 set(auto2).
% 11.18/11.47 % set(auto2) -> set(auto).
% 11.18/11.47 % set(auto) -> set(auto_inference).
% 11.18/11.47 % set(auto) -> set(auto_setup).
% 11.18/11.47 % set(auto_setup) -> set(predicate_elim).
% 11.18/11.47 % set(auto_setup) -> assign(eq_defs, unfold).
% 11.18/11.47 % set(auto) -> set(auto_limits).
% 11.18/11.47 % set(auto_limits) -> assign(max_weight, "100.000").
% 11.18/11.47 % set(auto_limits) -> assign(sos_limit, 20000).
% 11.18/11.47 % set(auto) -> set(auto_denials).
% 11.18/11.47 % set(auto) -> set(auto_process).
% 11.18/11.47 % set(auto2) -> assign(new_constants, 1).
% 11.18/11.47 % set(auto2) -> assign(fold_denial_max, 3).
% 11.18/11.47 % set(auto2) -> assign(max_weight, "200.000").
% 11.18/11.47 % set(auto2) -> assign(max_hours, 1).
% 11.18/11.47 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 11.18/11.47 % set(auto2) -> assign(max_seconds, 0).
% 11.18/11.47 % set(auto2) -> assign(max_minutes, 5).
% 11.18/11.47 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 11.18/11.47 % set(auto2) -> set(sort_initial_sos).
% 11.18/11.47 % set(auto2) -> assign(sos_limit, -1).
% 11.18/11.47 % set(auto2) -> assign(lrs_ticks, 3000).
% 11.18/11.47 % set(auto2) -> assign(max_megs, 400).
% 11.18/11.47 % set(auto2) -> assign(stats, some).
% 11.18/11.47 % set(auto2) -> clear(echo_input).
% 11.18/11.47 % set(auto2) -> set(quiet).
% 11.18/11.47 % set(auto2) -> clear(print_initial_clauses).
% 11.18/11.47 % set(auto2) -> clear(print_given).
% 11.18/11.47 assign(lrs_ticks,-1).
% 11.18/11.47 assign(sos_limit,10000).
% 11.18/11.47 assign(order,kbo).
% 11.18/11.47 set(lex_order_vars).
% 11.18/11.47 clear(print_given).
% 11.18/11.47
% 11.18/11.47 % formulas(sos). % not echoed (2 formulas)
% 11.18/11.47
% 11.18/11.47 ============================== end of input ==========================
% 11.18/11.47
% 11.18/11.47 % From the command line: assign(max_seconds, 300).
% 11.18/11.47
% 11.18/11.47 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 11.18/11.47
% 11.18/11.47 % Formulas that are not ordinary clauses:
% 11.18/11.47
% 11.18/11.47 ============================== end of process non-clausal formulas ===
% 11.18/11.47
% 11.18/11.47 ============================== PROCESS INITIAL CLAUSES ===============
% 11.18/11.47
% 11.18/11.47 ============================== PREDICATE ELIMINATION =================
% 11.18/11.47
% 11.18/11.47 ============================== end predicate elimination =============
% 11.18/11.47
% 11.18/11.47 Auto_denials:
% 11.18/11.47 % copying label prove_these_axioms to answer in negative clause
% 11.18/11.47
% 11.18/11.47 Term ordering decisions:
% 11.18/11.47
% 11.18/11.47 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 11.18/11.47 Function symbol KB weights: a1=1. a2=1. a3=1. a4=1. b1=1. b2=1. b3=1. b4=1. c3=1. multiply=1. inverse=0.
% 11.18/11.47
% 11.18/11.47 ============================== end of process initial clauses ========
% 11.18/11.47
% 11.18/11.47 ============================== CLAUSES FOR SEARCH ====================
% 11.18/11.47
% 11.18/11.47 ============================== end of clauses for search =============
% 11.18/11.47
% 11.18/11.47 ============================== SEARCH ================================
% 11.18/11.47
% 11.18/11.47 % Starting search at 0.01 seconds.
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=145.000, iters=3653
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=122.000, iters=3818
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=120.000, iters=3448
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=116.000, iters=3411
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=101.000, iters=3382
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=100.000, iters=3482
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=98.000, iters=3446
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=97.000, iters=3356
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=96.000, iters=3546
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=94.000, iters=3456
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=5567, wt=147.000
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=5765, wt=145.000
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=11390, wt=59.000
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=79.000, iters=3428
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=11411, wt=56.000
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=11415, wt=54.000
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=11604, wt=53.000
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=77.000, iters=3441
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=12872, wt=51.000
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=75.000, iters=3482
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=73.000, iters=3342
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=72.000, iters=3346
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=14537, wt=46.000
% 11.18/11.47
% 11.18/11.47 Low Water (displace): id=14772, wt=44.000
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=70.000, iters=3481
% 11.18/11.47
% 11.18/11.47 Low Water (keep): wt=68.000, iters=3402
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=64.000, iters=3338
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=63.000, iters=3396
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=61.000, iters=3338
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=16269, wt=41.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=16449, wt=37.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=16456, wt=35.000
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=59.000, iters=3355
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=38304, wt=34.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=38313, wt=33.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=38329, wt=29.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=38363, wt=26.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=39108, wt=25.000
% 33.55/33.83
% 33.55/33.83 Low Water (displace): id=39767, wt=24.000
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=58.000, iters=3510
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=56.000, iters=3437
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=55.000, iters=3349
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=54.000, iters=3338
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=52.000, iters=3567
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=50.000, iters=3530
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=48.000, iters=3485
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=46.000, iters=3398
% 33.55/33.83
% 33.55/33.83 Low Water (keep): wt=45.000, iters=3380
% 33.55/33.83
% 33.55/33.83 ============================== PROOF =================================
% 33.55/33.83 % SZS status Unsatisfiable
% 33.55/33.83 % SZS output start Refutation
% 33.55/33.83
% 33.55/33.83 % Proof 1 at 32.66 (+ 0.21) seconds: prove_these_axioms.
% 33.55/33.83 % Length of proof is 236.
% 33.55/33.83 % Level of proof is 57.
% 33.55/33.83 % Maximum clause weight is 81.000.
% 33.55/33.83 % Given clauses 280.
% 33.55/33.83
% 33.55/33.83 1 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(F)),inverse(D))))))),F) = E # label(single_axiom) # label(axiom). [assumption].
% 33.55/33.83 2 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) | multiply(multiply(inverse(b2),b2),a2) != a2 | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) | multiply(a4,b4) != multiply(b4,a4) # label(prove_these_axioms) # label(negated_conjecture) # answer(prove_these_axioms). [assumption].
% 33.55/33.83 3 multiply(inverse(b1),b1) != multiply(inverse(a1),a1) | multiply(multiply(inverse(b2),b2),a2) != a2 | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) | multiply(b4,a4) != multiply(a4,b4) # answer(prove_these_axioms). [copy(2),flip(a),flip(d)].
% 33.55/33.83 5 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(F,inverse(A)),inverse(E))))))))),F)),multiply(inverse(multiply(V6,V7)),multiply(V6,inverse(multiply(multiply(V8,inverse(V9)),inverse(V7))))))),V9) = V8. [para(1(a,1),1(a,1,1,1,1,1,2))].
% 33.55/33.83 7 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,V9)),multiply(V8,inverse(multiply(E,inverse(V9))))))),F). [para(1(a,1),1(a,1,1,1,2,2,2,1,1)),flip(a)].
% 33.55/33.83 38 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(F,inverse(A)),inverse(E))))))))),F)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,V9)),multiply(V8,inverse(multiply(multiply(V10,inverse(inverse(multiply(multiply(V11,inverse(V12)),inverse(V13))))),inverse(V9))))))),V13)),V10))),V12) = V11. [para(1(a,1),5(a,1,1,1,2,2))].
% 33.55/33.83 109 multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D))))))),F),multiply(multiply(inverse(multiply(V6,V7)),multiply(V6,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(V7))))),inverse(multiply(inverse(multiply(V8,V9)),multiply(V9,V8)))))),multiply(inverse(multiply(V10,V11)),multiply(V10,inverse(multiply(multiply(V12,inverse(V13)),inverse(V11))))))),V13) = V12. [para(7(a,1),1(a,1,1,1,1,1,1))].
% 33.55/33.83 113 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D))))))),F),inverse(F)) = E. [para(7(a,1),1(a,1,1))].
% 33.55/33.83 118 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(multiply(E,inverse(F)),inverse(inverse(F))),inverse(D))))))) = E. [para(7(a,2),1(a,1))].
% 33.55/33.83 245 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D))))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,F)),multiply(V8,inverse(E))))),V9),inverse(V9)). [para(1(a,1),113(a,1,1,1,1,2,2,2,1)),flip(a)].
% 33.55/33.83 306 multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D))))))),F),V6),inverse(V6)) = multiply(E,inverse(inverse(F))). [para(7(a,1),113(a,1,1,1))].
% 33.55/33.83 486 multiply(multiply(A,inverse(B)),inverse(inverse(B))) = multiply(multiply(A,C),inverse(C)). [para(118(a,1),113(a,1,1,1)),flip(a)].
% 33.55/33.83 505 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(multiply(E,F),inverse(F)),inverse(D))))))) = E. [para(118(a,1),118(a,1,1,2,2,2,1,1,1,2)),rewrite([118(27)])].
% 33.55/33.83 510 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(multiply(E,F),inverse(F))))))),D) = E. [para(486(a,1),1(a,1,1,1,2,2,2,1))].
% 33.55/33.83 585 multiply(multiply(A,B),inverse(B)) = multiply(multiply(A,C),inverse(C)). [para(486(a,1),486(a,1))].
% 33.55/33.83 618 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,F),inverse(F))))))),V6),inverse(V6)) = multiply(E,D). [para(585(a,1),113(a,1,1,1,1,2,2,2,1))].
% 33.55/33.83 627 multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(C))) = multiply(multiply(multiply(A,C),D),inverse(D)). [para(585(a,1),585(a,1,1))].
% 33.55/33.83 675 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(multiply(multiply(E,D),F),inverse(F))))))) = E. [para(627(a,1),7(a,1,1,2,2,2,1)),rewrite([1(34)])].
% 33.55/33.83 679 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(multiply(multiply(E,F),inverse(F)),inverse(inverse(V6))),inverse(D))))))) = multiply(E,V6). [para(627(a,1),7(a,2,1,1,2,2,2,1)),rewrite([675(37)])].
% 33.55/33.83 718 multiply(multiply(multiply(multiply(A,B),inverse(B)),C),inverse(C)) = multiply(multiply(multiply(multiply(A,D),E),inverse(E)),inverse(inverse(inverse(D)))). [para(627(a,1),585(a,1,1)),flip(a)].
% 33.55/33.83 719 multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(C))),inverse(inverse(D))) = multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)). [para(627(a,2),585(a,1,1))].
% 33.55/33.83 948 multiply(multiply(multiply(A,B),inverse(B)),C) = multiply(multiply(multiply(A,D),inverse(D)),C). [para(718(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([679(22)])].
% 33.55/33.83 1023 multiply(multiply(multiply(multiply(A,B),inverse(B)),C),inverse(C)) = multiply(multiply(multiply(multiply(A,D),inverse(D)),E),inverse(E)). [para(718(a,2),585(a,1))].
% 33.55/33.83 1027 multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),C),inverse(C)),inverse(inverse(D))) = multiply(multiply(multiply(multiply(multiply(A,E),inverse(E)),D),F),inverse(F)). [para(718(a,2),627(a,1,1))].
% 33.55/33.83 1101 multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(C))),inverse(inverse(D))),E) = multiply(multiply(multiply(multiply(multiply(A,C),D),F),inverse(F)),E). [para(627(a,2),948(a,1,1,1))].
% 33.55/33.83 6041 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D))))))),multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(V6,F))),multiply(inverse(multiply(V7,V8)),multiply(V7,inverse(multiply(multiply(multiply(V9,V10),inverse(V10)),inverse(V8))))))),V9) = E. [para(505(a,1),113(a,1,2))].
% 33.55/33.83 6057 multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(multiply(F,V6),inverse(V6)),inverse(E))))))),F) = multiply(multiply(A,V7),inverse(V7)). [para(505(a,1),585(a,1,2))].
% 33.55/33.83 7092 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(multiply(C,D),inverse(D))),multiply(multiply(C,E),inverse(multiply(multiply(F,V6),inverse(V6))))))),E) = F. [para(585(a,1),510(a,1,1,1,2,1,1))].
% 33.55/33.83 7339 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D)))))))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,V9)),multiply(V8,inverse(multiply(E,inverse(V9)))))))))),multiply(inverse(multiply(V10,inverse(V11))),multiply(V10,inverse(multiply(multiply(multiply(V12,V11),V13),inverse(V13))))))) = V12. [para(7(a,2),675(a,1,1,1,1,1,1))].
% 33.55/33.83 14759 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(V6,inverse(F))))))),multiply(multiply(V7,V8),inverse(V8))),V9)),V6))),V10),inverse(V10)) = multiply(V7,V9). [para(113(a,1),618(a,1,1,1,1,2,2))].
% 33.55/33.83 15670 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),multiply(multiply(D,E),inverse(E))) = D. [para(113(a,1),7092(a,1,1,1,2,2)),rewrite([113(22)])].
% 33.55/33.83 15970 multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D),E),inverse(E)) = multiply(multiply(F,inverse(multiply(multiply(F,V6),inverse(V6)))),inverse(inverse(D))). [para(15670(a,1),627(a,1,1,1)),flip(a)].
% 33.55/33.83 15978 multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D),inverse(D)),E),inverse(E)) = multiply(multiply(multiply(F,V6),inverse(V6)),inverse(inverse(inverse(multiply(multiply(F,V7),inverse(V7)))))). [para(15670(a,1),718(a,2,1,1,1))].
% 33.55/33.83 15986 multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D),inverse(D)),E),inverse(E)) = multiply(multiply(multiply(F,inverse(multiply(multiply(F,V6),inverse(V6)))),V7),inverse(V7)). [para(15670(a,1),1023(a,1,1,1,1)),flip(a)].
% 33.55/33.83 15995 multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D),E),F),inverse(F)) = multiply(multiply(multiply(V6,inverse(multiply(multiply(V6,V7),inverse(V7)))),inverse(inverse(D))),inverse(inverse(E))). [para(15670(a,1),719(a,1,1,1,1)),flip(a)].
% 33.55/33.83 16179 multiply(A,inverse(multiply(multiply(A,B),inverse(B)))) = multiply(C,inverse(multiply(multiply(C,D),inverse(D)))). [para(15670(a,1),618(a,1,1))].
% 33.55/33.83 16213 multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A)))),multiply(inverse(C),C))),multiply(multiply(D,E),inverse(E))) = D. [para(15670(a,1),15670(a,1,1,1,1,1))].
% 33.55/33.83 16235 multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(inverse(C))) = C. [para(16179(a,1),113(a,1,1)),rewrite([113(22)])].
% 33.55/33.83 16239 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)) = multiply(multiply(multiply(D,E),inverse(E)),inverse(inverse(inverse(multiply(multiply(D,F),inverse(F)))))). [para(16179(a,1),627(a,2,1,1)),flip(a)].
% 33.55/33.83 16257 multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),C),inverse(C)),inverse(inverse(inverse(multiply(multiply(multiply(multiply(A,D),inverse(D)),E),inverse(E)))))) = multiply(multiply(multiply(F,inverse(multiply(multiply(F,V6),inverse(V6)))),V7),inverse(V7)). [para(16179(a,1),1027(a,2,1,1))].
% 33.55/33.83 16397 multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D),E),F),inverse(F)) = multiply(D,inverse(inverse(E))). [back_rewrite(15995),rewrite([16235(22)])].
% 33.55/33.83 16399 multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D),E),inverse(E)) = D. [back_rewrite(15970),rewrite([16235(21)])].
% 33.55/33.83 16402 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)) = multiply(D,inverse(inverse(inverse(D)))). [back_rewrite(15986),rewrite([16397(15)]),flip(a)].
% 33.55/33.83 16403 multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(inverse(multiply(multiply(A,C),inverse(C)))))) = multiply(D,inverse(inverse(inverse(D)))). [back_rewrite(15978),rewrite([16397(15)]),flip(a)].
% 33.55/33.83 16415 multiply(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(A)),multiply(B,inverse(multiply(multiply(B,C),inverse(C))))))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(F,inverse(E))))))),V6),inverse(V6)) = F. [para(16235(a,1),113(a,1,1,1,1,1,1,1,1))].
% 33.55/33.83 16438 multiply(multiply(multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)),inverse(inverse(inverse(inverse(D))))),inverse(inverse(E))) = multiply(multiply(multiply(D,E),F),inverse(F)). [para(16235(a,1),719(a,2,1,1,1))].
% 33.55/33.83 16439 multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(inverse(multiply(multiply(A,C),inverse(C)))))),inverse(inverse(inverse(inverse(D))))) = multiply(multiply(D,E),inverse(E)). [para(16235(a,1),719(a,2,1,1))].
% 33.55/33.83 16471 multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(inverse(multiply(multiply(A,C),inverse(C)))))),inverse(inverse(inverse(inverse(D))))),E) = multiply(multiply(multiply(D,F),inverse(F)),E). [para(16235(a,1),1101(a,2,1,1,1))].
% 33.55/33.83 16624 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),inverse(multiply(D,inverse(multiply(multiply(D,E),inverse(E)))))),inverse(inverse(F))) = F. [para(15670(a,1),16235(a,1,1,2,1,1))].
% 33.55/33.83 16625 multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(multiply(C,inverse(inverse(inverse(C)))))) = multiply(D,inverse(multiply(multiply(D,E),inverse(E)))). [para(16235(a,1),16179(a,1,2,1,1))].
% 33.55/33.83 16626 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(multiply(C,inverse(inverse(inverse(C)))))),inverse(inverse(D))) = D. [para(16235(a,1),16235(a,1,1,2,1,1))].
% 33.55/33.83 16638 multiply(A,inverse(inverse(inverse(A)))) = multiply(B,inverse(inverse(inverse(B)))). [para(7(a,2),16402(a,1,1,1,2,1,1)),rewrite([1(33),306(19)])].
% 33.55/33.83 16650 multiply(multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)),inverse(inverse(inverse(inverse(multiply(D,E)))))) = multiply(multiply(multiply(D,F),inverse(F)),inverse(inverse(E))). [para(16402(a,2),627(a,2,1)),flip(a)].
% 33.55/33.83 17042 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(multiply(multiply(B,C),inverse(C)))),A))),multiply(D,inverse(inverse(inverse(D)))))),multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(multiply(V6,V7),inverse(V7))))))),V8),inverse(V8)) = multiply(V6,F). [para(16402(a,1),618(a,1,1,1,1,1,1,2))].
% 33.55/33.83 17043 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,inverse(inverse(inverse(C))))),multiply(multiply(multiply(D,inverse(multiply(multiply(D,E),inverse(E)))),F),inverse(multiply(multiply(V6,V7),inverse(V7))))))),V8),inverse(V8)) = multiply(V6,inverse(F)). [para(16402(a,1),618(a,1,1,1,1,2,1,1))].
% 33.55/33.83 17048 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(multiply(multiply(C,inverse(multiply(multiply(C,D),inverse(D)))),E),inverse(E))),multiply(F,inverse(multiply(multiply(V6,V7),inverse(V7))))))),V8),inverse(V8)) = multiply(V6,inverse(inverse(inverse(F)))). [para(16402(a,2),618(a,1,1,1,1,2,1,1))].
% 33.55/33.83 17088 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),multiply(multiply(multiply(B,inverse(multiply(multiply(B,C),inverse(C)))),D),inverse(D)))),multiply(inverse(E),E))),multiply(multiply(F,V6),inverse(V6))) = F. [para(16402(a,2),15670(a,1,1,1,1,1,2))].
% 33.55/33.83 17089 inverse(multiply(A,inverse(multiply(multiply(A,B),inverse(B))))) = multiply(C,inverse(inverse(inverse(C)))). [para(15670(a,1),16402(a,1,1,1,2,1,1)),rewrite([16399(19)])].
% 33.55/33.83 17091 multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(multiply(multiply(B,C),inverse(C)))),D),inverse(D)),inverse(inverse(inverse(inverse(A))))))) = multiply(E,inverse(multiply(multiply(E,F),inverse(F)))). [para(16402(a,2),16179(a,1,2,1,1))].
% 33.55/33.83 17093 multiply(multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(multiply(multiply(B,C),inverse(C)))),D),inverse(D)),inverse(inverse(inverse(inverse(A))))))),inverse(inverse(E))) = E. [para(16402(a,2),16235(a,1,1,2,1,1))].
% 33.55/33.83 17100 multiply(A,inverse(inverse(inverse(A)))) = c_0. [new_symbol(16638)].
% 33.55/33.83 17108 inverse(multiply(A,inverse(multiply(multiply(A,B),inverse(B))))) = c_0. [back_rewrite(17089),rewrite([17100(10)])].
% 33.55/33.83 17135 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(c_0),multiply(multiply(multiply(C,inverse(multiply(multiply(C,D),inverse(D)))),E),inverse(multiply(multiply(F,V6),inverse(V6))))))),V7),inverse(V7)) = multiply(F,inverse(E)). [back_rewrite(17043),rewrite([17100(9)])].
% 33.55/33.83 17136 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(multiply(multiply(B,C),inverse(C)))),A))),c_0)),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(F,V6),inverse(V6))))))),V7),inverse(V7)) = multiply(F,E). [back_rewrite(17042),rewrite([17100(13)])].
% 33.55/33.83 17291 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(c_0)),inverse(inverse(C))) = C. [back_rewrite(16626),rewrite([17100(9)])].
% 33.55/33.83 17292 multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(c_0)) = multiply(C,inverse(multiply(multiply(C,D),inverse(D)))). [back_rewrite(16625),rewrite([17100(9)])].
% 33.55/33.83 17310 multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(inverse(multiply(multiply(A,C),inverse(C)))))) = c_0. [back_rewrite(16403),rewrite([17100(14)])].
% 33.55/33.83 17311 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)) = c_0. [back_rewrite(16402),rewrite([17100(12)])].
% 33.55/33.83 17314 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),c_0),inverse(inverse(D))) = D. [back_rewrite(16624),rewrite([17108(15)])].
% 33.55/33.83 17388 multiply(multiply(multiply(A,B),inverse(B)),C) = multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),C). [back_rewrite(16471),rewrite([17310(10)]),flip(a)].
% 33.55/33.83 17412 multiply(multiply(multiply(A,B),C),inverse(C)) = multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(inverse(B))). [back_rewrite(16438),rewrite([17311(8)]),flip(a)].
% 33.55/33.83 17413 multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(inverse(inverse(multiply(multiply(A,B),inverse(B)))))) = c_0. [back_rewrite(16257),rewrite([17388(4),17412(9),17388(18),17412(23),17100(32),17412(9)]),flip(a)].
% 33.55/33.83 17416 multiply(multiply(A,B),inverse(B)) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [back_rewrite(16439),rewrite([17388(10),17413(13)]),flip(a)].
% 33.55/33.83 17419 multiply(c_0,inverse(inverse(inverse(inverse(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A)))))))))))) = c_0. [back_rewrite(16239),rewrite([17416(3),17416(11),17416(17),17416(23),17100(30)])].
% 33.55/33.83 17421 multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(inverse(B))) = B. [back_rewrite(17093),rewrite([17416(3),17416(11),17419(14)])].
% 33.55/33.83 17422 multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))) = multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))). [back_rewrite(17091),rewrite([17416(3),17416(11),17419(14),17416(11)])].
% 33.55/33.83 17423 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),multiply(c_0,inverse(inverse(inverse(inverse(C)))))) = C. [back_rewrite(17088),rewrite([17416(8),17416(16),17419(19),17416(15)])].
% 33.55/33.83 17438 multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(c_0),multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(D))))))))))))))) = multiply(D,inverse(inverse(inverse(C)))). [back_rewrite(17048),rewrite([17416(8),17416(16),17419(19),17416(10),17416(21)])].
% 33.55/33.83 17473 multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(inverse(B))) = multiply(c_0,inverse(inverse(inverse(inverse(multiply(A,B)))))). [back_rewrite(16650),rewrite([17416(3),17416(11),17419(14),17416(10)]),flip(a)].
% 33.55/33.83 19363 multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(c_0,inverse(inverse(inverse(inverse(F))))),inverse(E))))))),F) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [back_rewrite(6057),rewrite([17416(10),17416(24)])].
% 33.55/33.83 19378 multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D)))))))))))) = E. [back_rewrite(6041),rewrite([17416(24),19363(35)])].
% 33.55/33.83 19592 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(c_0,inverse(inverse(inverse(inverse(E))))),inverse(D))))))) = E. [back_rewrite(505),rewrite([17416(10)])].
% 33.55/33.83 19609 multiply(c_0,inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),D)))))) = D. [back_rewrite(16399),rewrite([17416(13)])].
% 33.55/33.83 19708 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D)))))))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,V9)),multiply(V8,inverse(multiply(E,inverse(V9)))))))))),multiply(inverse(multiply(V10,inverse(V11))),multiply(V10,inverse(multiply(c_0,inverse(inverse(inverse(inverse(multiply(V12,V11))))))))))) = V12. [back_rewrite(7339),rewrite([17416(42)])].
% 33.55/33.83 19814 multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)) = multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))). [back_rewrite(17292),rewrite([17416(3),17416(14)])].
% 33.55/33.83 19815 multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),inverse(inverse(B))) = B. [back_rewrite(17291),rewrite([17416(3)])].
% 33.55/33.83 19830 multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),A))),c_0)),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(E))))))))))))))) = multiply(E,D). [back_rewrite(17136),rewrite([17416(4),17416(20),17416(31)])].
% 33.55/33.83 19831 multiply(A,inverse(inverse(inverse(multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),C))))) = multiply(A,inverse(C)). [back_rewrite(17135),rewrite([17416(10),17416(19),17416(30),17438(33)])].
% 33.55/33.83 19848 inverse(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A)))))))) = c_0. [back_rewrite(17108),rewrite([17416(3)])].
% 33.55/33.83 19855 multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(A)),multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B)))))))))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D)))))))))))) = E. [back_rewrite(16415),rewrite([17416(6),17416(26)])].
% 33.55/33.83 19873 multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A)))),multiply(inverse(C),C))),multiply(c_0,inverse(inverse(inverse(inverse(D)))))) = D. [back_rewrite(16213),rewrite([17416(13)])].
% 33.55/33.83 19895 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),multiply(c_0,inverse(inverse(inverse(inverse(D)))))) = D. [back_rewrite(15670),rewrite([17416(12)])].
% 33.55/33.83 19911 multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(V6,inverse(F))))))),multiply(c_0,inverse(inverse(inverse(inverse(V7)))))),V8)),V6)))))))) = multiply(V7,V8). [back_rewrite(14759),rewrite([17416(22),17416(34)])].
% 33.55/33.83 20206 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D))))))) = multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,F)),multiply(V8,inverse(E)))))))))). [back_rewrite(245),rewrite([17416(32)])].
% 33.55/33.83 20515 inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(c_0,inverse(D)))))))) = c_0. [para(7(a,2),19848(a,1,1)),rewrite([19378(27),17100(11)])].
% 33.55/33.83 20814 inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0))) = c_0. [para(19848(a,1),19848(a,1,1,2,1,2,1,1,1)),rewrite([17100(14)])].
% 33.55/33.83 20961 multiply(multiply(A,multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B)))))))),c_0) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(19848(a,1),17416(a,1,2))].
% 33.55/33.83 22177 multiply(multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),inverse(c_0)),inverse(inverse(B))) = B. [para(20814(a,1),17421(a,1,1,2,1,2,1,1,1)),rewrite([17100(17)])].
% 33.55/33.83 24491 inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B)) = multiply(multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(C))))))),inverse(B)). [para(19831(a,1),17421(a,1)),flip(a)].
% 33.55/33.83 24513 multiply(A,inverse(inverse(inverse(inverse(multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),C)))))) = multiply(A,inverse(inverse(C))). [para(19831(a,1),19831(a,1,2,1,1,1)),rewrite([19831(14)]),flip(a)].
% 33.55/33.83 26038 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),c_0)) = c_0. [para(17314(a,1),17100(a,1))].
% 33.55/33.83 26040 multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0),inverse(inverse(C))) = C. [para(17100(a,1),17314(a,1,1,1,1,1,1,2))].
% 33.55/33.83 26423 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0)) = c_0. [para(17100(a,1),26038(a,1,1,1,1,1,1,2))].
% 33.55/33.83 26424 inverse(multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))))))))) = c_0. [para(26038(a,1),19848(a,1,1,2,1,2,1,1,1)),rewrite([17100(17),17416(14)])].
% 33.55/33.83 26429 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),multiply(c_0,inverse(inverse(inverse(inverse(B))))))),multiply(inverse(C),C))),c_0)) = c_0. [para(17416(a,1),26038(a,1,1,1,1,1,1,2))].
% 33.55/33.83 27129 multiply(c_0,inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),C)))))) = C. [para(26423(a,1),17421(a,1,1,2,1,2,1,1,1)),rewrite([17100(20),17416(17),17473(21)])].
% 33.55/33.83 27134 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0) = multiply(multiply(multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(C))))))),inverse(c_0)),inverse(c_0)). [para(26423(a,1),19815(a,1,2,1)),flip(a)].
% 33.55/33.83 27166 multiply(multiply(multiply(multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B)))))))),inverse(c_0)),inverse(c_0)),inverse(inverse(C))) = C. [para(26423(a,1),22177(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17100(20),17416(17)])].
% 33.55/33.83 27173 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0) = multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),multiply(inverse(E),E)))))))). [para(26423(a,1),17314(a,1,2,1)),rewrite([17416(14)]),flip(a)].
% 33.55/33.83 27510 multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B)),inverse(inverse(B))) = c_0. [para(24513(a,1),17100(a,1))].
% 33.55/33.83 27511 inverse(multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B),inverse(multiply(c_0,inverse(inverse(B)))))) = c_0. [para(24513(a,1),19848(a,1,1,2,1))].
% 33.55/33.83 27523 inverse(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B))) = B. [para(24513(a,1),17421(a,1)),rewrite([17421(11)]),flip(a)].
% 33.55/33.83 27818 inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B)),inverse(multiply(c_0,inverse(inverse(inverse(B))))))) = c_0. [para(27523(a,1),19848(a,1,1,2,1,2,1,1,1))].
% 33.55/33.83 27819 inverse(inverse(multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),B))) = B. [para(19848(a,1),27523(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17100(14)])].
% 33.55/33.83 27828 multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B) = multiply(multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(C))))))),B). [para(27523(a,1),17421(a,1,2))].
% 33.55/33.83 28168 inverse(multiply(multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),B),inverse(multiply(c_0,inverse(inverse(B)))))) = c_0. [para(27819(a,1),19848(a,1,1,2,1,2,1,1))].
% 33.55/33.83 29612 inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),c_0),D))) = D. [para(26424(a,1),27523(a,1,1,1,1,2))].
% 33.55/33.83 29685 inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0),C))) = C. [para(17100(a,1),29612(a,1,1,1,1,1,1,1,1,2))].
% 33.55/33.83 29950 inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(c_0))) = c_0. [para(17100(a,1),27818(a,1,1,2,1))].
% 33.55/33.83 30358 inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(c_0)),inverse(c_0))) = c_0. [para(29950(a,1),19848(a,1,1,2,1,2,1,1,1)),rewrite([17100(20)])].
% 33.55/33.83 30401 multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(c_0)) = multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(D),D)))))))). [para(29950(a,1),17314(a,1,2,1)),rewrite([17416(14)]),flip(a)].
% 33.55/33.83 30647 multiply(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(c_0)),inverse(c_0)) = multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(B))),B)),c_0)),multiply(inverse(C),C)))))))). [para(30358(a,1),26040(a,1,2,1)),rewrite([17416(17)]),flip(a)].
% 33.55/33.83 30994 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(F,inverse(A)),inverse(E))))))))),F)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,V9)),multiply(V8,inverse(multiply(multiply(V10,inverse(inverse(multiply(c_0,inverse(V11))))),inverse(V9))))))),V11)),V10))),inverse(inverse(V12))) = V12. [para(17100(a,1),38(a,1,1,1,2,1,1,1,1,2,2,2,1,1,2,1,1,1))].
% 33.55/33.83 31133 inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0),C)) = multiply(multiply(multiply(D,inverse(multiply(c_0,inverse(inverse(inverse(inverse(D))))))),inverse(c_0)),inverse(C)). [para(29685(a,1),19815(a,1,2,1)),flip(a)].
% 33.55/33.83 31287 inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(17100(a,1),19609(a,1,2,1,1,1,1)),flip(a)].
% 33.55/33.83 31359 multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(c_0)) = multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))). [back_rewrite(30401),rewrite([31287(27)])].
% 33.55/33.83 31361 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0) = multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))). [back_rewrite(27173),rewrite([31287(27)])].
% 33.55/33.83 31365 multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B)))))))) = multiply(multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))),inverse(c_0)). [back_rewrite(30647),rewrite([31359(14)]),flip(a)].
% 33.55/33.83 31369 multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),inverse(B)) = inverse(multiply(multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))),B)). [back_rewrite(31133),rewrite([31361(14)]),flip(a)].
% 33.55/33.83 31371 inverse(multiply(multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))),c_0)) = multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))). [back_rewrite(27134),rewrite([31361(14),31369(24)]),flip(a)].
% 33.55/33.83 31372 inverse(multiply(multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))),inverse(A))) = A. [back_rewrite(27166),rewrite([31365(18),31369(16),31371(13),31369(16)])].
% 33.55/33.83 31742 inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(B))) = B. [para(17422(a,1),31372(a,1,1,1))].
% 33.55/33.83 31971 inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)) = multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))). [para(19848(a,1),31742(a,1,1,2))].
% 33.55/33.83 31972 multiply(multiply(A,multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),inverse(C))),C) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(31742(a,1),17416(a,1,2))].
% 33.55/33.83 32402 multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(inverse(B))) = B. [para(31971(a,2),17421(a,1,1))].
% 33.55/33.83 32449 inverse(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),B))) = B. [para(31971(a,2),27523(a,1,1,1,1))].
% 33.55/33.83 32453 inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),B),inverse(multiply(c_0,inverse(inverse(B)))))) = c_0. [para(31971(a,2),27511(a,1,1,1,1))].
% 33.55/33.83 32502 inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(B))) = B. [para(31971(a,2),31742(a,1,1,1))].
% 33.55/33.83 32845 inverse(inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),c_0)),B))) = B. [para(31971(a,2),32449(a,1,1,1,1,1,1))].
% 33.55/33.83 33066 inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),c_0)),inverse(B))) = B. [para(31971(a,2),32502(a,1,1,1,1,1))].
% 33.55/33.83 33586 inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),c_0)),c_0)),B))) = B. [para(31971(a,2),32845(a,1,1,1,1,1,1,1,1))].
% 33.55/33.83 33726 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),c_0)),c_0)),inverse(B))) = B. [para(31971(a,2),33066(a,1,1,1,1,1,1,1))].
% 33.55/33.83 35059 multiply(c_0,inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),c_0)),c_0)),c_0)),C))))))) = multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),C). [para(33586(a,1),17473(a,1,2)),flip(a)].
% 33.55/33.83 35289 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),c_0)),c_0)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(F,inverse(E))))))),V6))) = multiply(inverse(multiply(inverse(multiply(V7,V8)),multiply(V8,V7))),multiply(inverse(multiply(V9,V10)),multiply(V9,inverse(multiply(multiply(F,inverse(inverse(V6))),inverse(V10)))))). [para(7(a,1),33726(a,1,1,2))].
% 33.55/33.83 35495 multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A)))),multiply(inverse(C),C))),multiply(c_0,inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),multiply(E,D))),multiply(inverse(multiply(F,V6)),multiply(F,inverse(multiply(V7,inverse(V6))))))),V8)))))) = multiply(inverse(multiply(inverse(multiply(V9,V10)),multiply(V10,V9))),multiply(inverse(multiply(V11,V12)),multiply(V11,inverse(multiply(multiply(V7,inverse(inverse(V8))),inverse(V12)))))). [para(7(a,1),19873(a,1,2,2,1,1,1))].
% 33.55/33.83 35644 multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D))))))),F),multiply(multiply(inverse(multiply(V6,V7)),multiply(V6,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(V7))))),inverse(multiply(inverse(multiply(inverse(V8),multiply(V9,V8))),multiply(c_0,inverse(inverse(inverse(inverse(V9)))))))))),multiply(inverse(multiply(V10,V11)),multiply(V10,inverse(multiply(multiply(V12,inverse(V13)),inverse(V11))))))),V13) = V12. [para(17416(a,1),109(a,1,1,1,1,1,2,2,1,2))].
% 33.55/33.83 35762 inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,inverse(inverse(c_0)))),multiply(C,inverse(c_0)))))) = c_0. [para(17100(a,1),20515(a,1,1,1,2,2,2,1))].
% 33.55/33.83 35992 multiply(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,inverse(inverse(c_0)))),multiply(C,inverse(c_0)))),inverse(c_0)) = c_0. [para(35762(a,1),17100(a,1,2,1))].
% 33.55/33.83 36746 multiply(multiply(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B)),multiply(B,multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(C)))))))))),multiply(inverse(multiply(D,inverse(inverse(c_0)))),multiply(D,inverse(c_0)))),inverse(c_0)) = c_0. [para(27828(a,1),35992(a,1,1,1,1,1,1))].
% 33.55/33.83 36752 multiply(multiply(inverse(multiply(c_0,multiply(inverse(multiply(c_0,inverse(inverse(A)))),multiply(inverse(multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),c_0)),A)))),multiply(inverse(multiply(C,inverse(inverse(c_0)))),multiply(C,inverse(c_0)))),inverse(c_0)) = c_0. [para(32453(a,1),35992(a,1,1,1,1,1))].
% 33.55/33.83 37119 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(V6),multiply(V7,inverse(multiply(c_0,inverse(inverse(inverse(inverse(V7))))))))),inverse(multiply(multiply(V8,inverse(multiply(c_0,inverse(inverse(inverse(inverse(V8))))))),V6)))),multiply(inverse(multiply(V9,V10)),multiply(V9,inverse(multiply(E,inverse(V10))))))),F). [para(24491(a,2),7(a,2,1,1,1,1,2))].
% 33.55/33.83 37214 multiply(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(c_0),inverse(multiply(multiply(C,inverse(multiply(c_0,inverse(inverse(inverse(inverse(C))))))),c_0)))),inverse(c_0)) = c_0. [para(24491(a,2),35992(a,1,1,2,2)),rewrite([17421(17)])].
% 33.55/33.83 37364 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),multiply(c_0,inverse(inverse(inverse(inverse(B))))))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(V6,inverse(F))))))),V7),multiply(inverse(multiply(inverse(multiply(V8,V9)),multiply(V9,V8))),multiply(inverse(multiply(V10,V11)),multiply(V10,inverse(multiply(multiply(V6,inverse(inverse(V7))),inverse(V11))))))))),c_0)) = c_0. [para(7(a,1),26429(a,1,1,1,1,2,1))].
% 33.55/33.83 37416 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A)))),multiply(inverse(C),C))),c_0)) = c_0. [para(19895(a,1),26429(a,1,1,1,1,1,1))].
% 33.55/33.83 37435 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0))),multiply(inverse(B),B))),c_0)) = c_0. [para(17423(a,1),26429(a,1,1,1,1,1,1))].
% 33.55/33.83 37439 inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))))),multiply(inverse(C),C))),c_0)) = c_0. [para(19873(a,1),26429(a,1,1,1,1,1,1))].
% 33.55/33.83 37513 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),multiply(c_0,inverse(inverse(inverse(inverse(B)))))))),multiply(inverse(C),C))),c_0)) = c_0. [para(17416(a,1),37416(a,1,1,1,1,1,1,1,2))].
% 33.55/33.83 37522 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(A)),multiply(c_0,inverse(inverse(inverse(inverse(B))))))),multiply(c_0,inverse(inverse(inverse(inverse(multiply(B,A))))))))),multiply(inverse(C),C))),c_0)) = c_0. [para(17473(a,1),37416(a,1,1,1,1,1,1,1,2))].
% 33.55/33.83 37738 multiply(inverse(multiply(multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0))),multiply(inverse(B),B)))))))),C)),inverse(inverse(C))) = c_0. [para(37435(a,1),27510(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17100(21),17416(18)])].
% 33.55/33.83 37755 multiply(inverse(multiply(multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0))),multiply(inverse(B),B)))))))),c_0)),inverse(inverse(C))) = C. [para(37435(a,1),32402(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17100(21),17416(18)])].
% 33.55/33.83 37963 multiply(multiply(A,multiply(c_0,inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))))),multiply(inverse(D),D))))))))),c_0) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(37439(a,1),20961(a,1,1,2,2,1,2,1,1,1)),rewrite([17100(19),17416(16)])].
% 33.55/33.83 38043 multiply(inverse(multiply(c_0,multiply(inverse(A),A))),multiply(c_0,inverse(inverse(inverse(inverse(B)))))) = B. [para(37439(a,1),17423(a,1,1,1,1))].
% 33.55/33.83 38056 multiply(c_0,inverse(inverse(inverse(inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),A))),B)))))) = B. [para(37439(a,1),27129(a,1,2,1,1,1,1,1,1,1))].
% 33.55/33.83 38221 inverse(inverse(inverse(inverse(multiply(c_0,multiply(inverse(A),A)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(17100(a,1),38056(a,1,2,1,1,1,1)),flip(a)].
% 33.55/33.83 38269 multiply(inverse(multiply(c_0,multiply(inverse(A),A))),B) = multiply(inverse(multiply(c_0,multiply(inverse(C),C))),B). [para(38056(a,1),38043(a,1,2))].
% 33.55/33.83 38294 inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),A))),c_0)) = c_0. [para(38221(a,1),19848(a,1,1,2,1,2,1)),rewrite([19848(16)])].
% 33.55/33.83 38295 inverse(multiply(multiply(c_0,multiply(inverse(A),A)),inverse(multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))))) = c_0. [para(38221(a,1),19848(a,1,1,2,1,2))].
% 33.55/33.83 38314 multiply(multiply(A,multiply(inverse(multiply(c_0,multiply(inverse(B),B))),c_0)),c_0) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(38221(a,1),20961(a,1,1,2,2,1,2,1)),rewrite([19848(16)])].
% 33.55/33.83 39612 inverse(multiply(c_0,multiply(inverse(A),A))) = inverse(multiply(c_0,multiply(inverse(B),B))). [para(38269(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([1(22)])].
% 33.55/33.83 39768 multiply(c_0,multiply(inverse(A),A)) = multiply(c_0,multiply(inverse(B),B)). [para(39612(a,1),17421(a,1,2,1)),rewrite([17421(15)])].
% 33.55/33.83 39890 multiply(multiply(c_0,multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(39768(a,1),17416(a,1,1))].
% 33.55/33.83 39929 multiply(c_0,multiply(inverse(A),A)) = multiply(c_0,multiply(c_0,multiply(inverse(multiply(c_0,multiply(inverse(B),B))),c_0))). [para(38294(a,1),39768(a,1,2,1)),flip(a)].
% 33.55/33.83 40365 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(multiply(c_0,multiply(inverse(E),E)),inverse(inverse(F))),inverse(D))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V7,V6))),multiply(inverse(multiply(V8,multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0)))))))),multiply(V8,c_0)))),F). [para(38295(a,1),7(a,2,1,1,2,2,2))].
% 33.55/33.83 40376 multiply(c_0,inverse(inverse(inverse(inverse(multiply(A,multiply(multiply(c_0,multiply(inverse(B),B)),inverse(multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0)))))))))))))) = multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(c_0)). [para(38295(a,1),17473(a,1,2,1)),flip(a)].
% 33.55/33.83 40665 multiply(multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0)))))),inverse(inverse(inverse(multiply(inverse(A),A))))) = multiply(c_0,inverse(inverse(inverse(inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0)))))))))). [para(39890(a,1),17473(a,2,2,1,1,1,1)),rewrite([38221(9)])].
% 33.55/33.83 40815 multiply(c_0,inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),A))),B)))))) = B. [para(39929(a,2),19609(a,1,2,1,1,1,1,1,1,1,1,1,1)),rewrite([38314(17),38043(14)])].
% 33.55/33.83 40847 multiply(inverse(multiply(inverse(inverse(c_0)),multiply(inverse(A),A))),multiply(c_0,inverse(inverse(inverse(inverse(B)))))) = B. [para(39929(a,2),19873(a,1,1,1,1,1,1,1,1)),rewrite([38314(16),38043(13)])].
% 33.55/33.83 40864 inverse(inverse(inverse(inverse(multiply(inverse(c_0),multiply(inverse(A),A)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(39929(a,2),31287(a,1,1,1,1,1,1,1,1,1)),rewrite([38314(16),38043(13)])].
% 33.55/33.83 41169 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),A))),B) = multiply(inverse(multiply(c_0,multiply(inverse(C),C))),B). [para(40815(a,1),38043(a,1,2)),flip(a)].
% 33.55/33.83 41493 multiply(inverse(multiply(inverse(inverse(c_0)),multiply(inverse(A),A))),multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))) = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),multiply(inverse(D),D)). [para(31287(a,1),40847(a,1,2,2))].
% 33.55/33.83 41981 multiply(multiply(A,multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))),inverse(inverse(inverse(multiply(inverse(c_0),multiply(inverse(C),C)))))) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(40864(a,1),31972(a,1,1,2,2))].
% 33.55/33.83 42005 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(c_0),multiply(inverse(A),A)),inverse(multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0)))))))),c_0)),c_0)),c_0)),inverse(B))) = B. [para(40864(a,1),33726(a,1,1,1,1,1,1,1,1,1,2,1,2))].
% 33.55/33.83 42106 multiply(inverse(multiply(inverse(inverse(c_0)),multiply(inverse(A),A))),multiply(c_0,multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))) = multiply(inverse(c_0),multiply(inverse(B),B)). [para(40864(a,1),40847(a,1,2,2))].
% 33.55/33.83 42386 inverse(multiply(inverse(c_0),multiply(inverse(A),A))) = inverse(multiply(c_0,multiply(inverse(B),B))). [para(41169(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([1(22)]),flip(a)].
% 33.55/33.83 42601 multiply(inverse(c_0),multiply(inverse(A),A)) = multiply(c_0,multiply(inverse(B),B)). [para(42386(a,1),17421(a,1,2,1)),rewrite([17421(15)]),flip(a)].
% 33.55/33.83 42716 multiply(c_0,inverse(inverse(inverse(inverse(inverse(c_0)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(42601(a,1),17416(a,1,1)),rewrite([39890(8)]),flip(a)].
% 33.55/33.83 42855 multiply(c_0,inverse(inverse(inverse(inverse(c_0))))) = c_0. [para(42716(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([19592(21)])].
% 33.55/33.83 42863 multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))) = multiply(inverse(c_0),inverse(c_0)). [para(42716(a,1),17422(a,1,2,1)),rewrite([42855(9)]),flip(a)].
% 33.55/33.83 42869 multiply(multiply(inverse(c_0),inverse(c_0)),inverse(c_0)) = multiply(inverse(c_0),inverse(c_0)). [para(42716(a,1),19814(a,1,1,2,1)),rewrite([42855(9),42863(16)])].
% 33.55/33.83 42875 inverse(inverse(c_0)) = c_0. [para(42716(a,1),38(a,1,1,1,2,1,1,1,1,2,2,2,1,1,2,1,1,1)),rewrite([42855(34),30994(51)])].
% 33.55/33.83 42879 inverse(multiply(multiply(inverse(c_0),inverse(multiply(c_0,c_0))),c_0)) = multiply(inverse(c_0),inverse(c_0)). [para(42716(a,1),31971(a,1,1,1,2,1)),rewrite([42875(6),42875(6),42863(18)])].
% 33.55/33.83 42881 inverse(multiply(multiply(inverse(c_0),inverse(c_0)),inverse(A))) = A. [para(42716(a,1),32502(a,1,1,1,1,1,2,1)),rewrite([42875(6),42875(6),42879(10)])].
% 33.55/33.83 42894 multiply(c_0,c_0) = c_0. [para(42716(a,1),28168(a,1,1,2,1)),rewrite([42863(8),42869(8),42875(8),42869(8),42875(9),42875(9),42881(11)])].
% 33.55/33.83 42895 multiply(multiply(A,multiply(multiply(inverse(c_0),inverse(c_0)),inverse(B))),B) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(42716(a,1),31972(a,1,1,2,1,2,1)),rewrite([42875(6),42875(6),42894(5)])].
% 33.55/33.83 42896 multiply(c_0,inverse(c_0)) = c_0. [para(42716(a,1),31972(a,2)),rewrite([42863(10),42895(11),42875(4),42875(4),42875(8),42875(8),42894(7)])].
% 33.55/33.83 42898 inverse(c_0) = c_0. [para(42716(a,1),17423(a,1,2)),rewrite([42875(16),42875(16),42894(15),31361(14),42875(5),42875(5),42894(4),42896(4)]),flip(a)].
% 33.55/33.83 42905 inverse(multiply(c_0,A)) = multiply(c_0,inverse(A)). [para(42716(a,1),24491(a,1,1,1,2,1)),rewrite([42898(2),42898(4),42898(4),42898(4),42898(4),42894(4),42898(3),42894(3),42863(11),42898(5),42898(6),42894(6)])].
% 33.55/33.83 42908 multiply(multiply(c_0,inverse(multiply(inverse(A),A))),c_0) = c_0. [para(42716(a,1),38043(a,1,2)),rewrite([42905(5),42898(8),42898(8),42898(8),42898(8),42894(8),42898(9)])].
% 33.55/33.83 42939 multiply(c_0,multiply(inverse(A),A)) = c_0. [back_rewrite(42106),rewrite([42898(2),42898(2),42905(5),42898(9),42898(9),42898(9),42898(9),42894(9),42894(8),42908(7),42898(3)]),flip(a)].
% 33.55/33.83 42948 multiply(c_0,inverse(inverse(A))) = A. [back_rewrite(42005),rewrite([42898(2),42939(4),42898(5),42898(5),42898(5),42898(5),42894(5),42894(4),42898(3),42894(3),42894(3),42898(2),42894(3),42898(2),42894(3),42898(2),42905(4)])].
% 33.55/33.83 42950 multiply(multiply(A,c_0),c_0) = inverse(inverse(A)). [back_rewrite(41981),rewrite([42948(6),17100(4),42898(4),42898(4),42898(4),42898(4),42894(4),42894(3),42898(4),42939(6),42898(4),42898(4),42898(4),42948(10)])].
% 33.55/33.83 42956 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C)) = c_0. [back_rewrite(41493),rewrite([42898(2),42898(2),42939(4),42898(2),42898(5),42898(5),42898(5),42898(5),42894(5),42894(4),42894(3)]),flip(a)].
% 33.55/33.83 42987 inverse(multiply(inverse(A),A)) = c_0. [back_rewrite(40665),rewrite([42898(4),42898(4),42898(4),42898(4),42894(4),42894(3),42948(7),42898(7),42898(7),42898(7),42898(7),42894(7),42898(6),42898(6),42898(6),42898(6),42894(6)])].
% 33.55/33.83 42999 inverse(inverse(multiply(A,c_0))) = multiply(inverse(inverse(A)),c_0). [back_rewrite(40376),rewrite([42939(5),42898(6),42898(6),42898(6),42898(6),42894(6),42894(5),42898(4),42894(4),42948(8),42948(10),42898(8)])].
% 33.55/33.83 43004 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,inverse(D))))))) = multiply(c_0,E). [back_rewrite(40365),rewrite([42939(11),42948(11),42898(23),42898(23),42898(23),42898(23),42894(23),42894(22),42956(26),42898(16)])].
% 33.55/33.83 43269 inverse(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))))) = c_0. [back_rewrite(37214),rewrite([42898(7),42948(12),17100(10),42894(9),42898(8),42894(8),42898(9),42950(9)])].
% 33.55/33.83 43302 multiply(multiply(c_0,A),B) = multiply(c_0,multiply(A,inverse(inverse(B)))). [back_rewrite(37119),rewrite([43004(17),42948(12),17100(10),42948(15),17100(13),42905(12),43004(23)]),flip(a)].
% 33.55/33.83 43336 inverse(multiply(inverse(A),multiply(c_0,A))) = c_0. [back_rewrite(36752),rewrite([42948(5),42948(8),17100(6),42894(5),42898(4),42905(7),42898(9),42898(9),42898(12),43302(14),42987(13),42898(8),42898(11),43302(11),42898(10),42898(10),42950(10),42948(9)])].
% 33.55/33.83 43339 inverse(multiply(inverse(A),multiply(inverse(inverse(A)),c_0))) = c_0. [back_rewrite(36746),rewrite([42948(6),17100(4),42905(3),42948(9),17100(7),43302(6),42999(6),42905(9),42898(11),42898(11),42898(14),43302(16),42987(15),42898(10),42898(13),43302(13),42898(12),42898(12),42950(12),42948(11)])].
% 33.55/33.83 43401 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(inverse(F))),inverse(D)))))) = multiply(c_0,multiply(c_0,inverse(multiply(E,inverse(inverse(F)))))). [back_rewrite(35289),rewrite([42948(6),17100(4),42894(3),42898(2),42894(3),42898(2),42894(3),42898(2),43004(15),43302(4),42905(8),42905(7)]),flip(a)].
% 33.55/33.83 43417 inverse(inverse(multiply(A,multiply(c_0,B)))) = multiply(inverse(inverse(A)),B). [back_rewrite(35059),rewrite([42948(7),17100(5),42894(4),42898(3),42894(4),42898(3),42894(4),42898(3),42948(9),42948(11)])].
% 33.55/33.83 43705 inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,inverse(B)))))) = C. [back_rewrite(19855),rewrite([42948(10),17100(8),43339(8),42905(11),42905(12),42948(12),42948(12)])].
% 33.55/33.83 43717 inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(inverse(C)))))) = multiply(C,B). [back_rewrite(19830),rewrite([42948(8),17100(6),43336(6),42894(4),42898(3),42948(10),42905(11),42905(12),42948(12),42948(12)])].
% 33.55/33.83 43882 multiply(c_0,inverse(multiply(A,inverse(inverse(inverse(B)))))) = multiply(B,inverse(inverse(inverse(A)))). [back_rewrite(17438),rewrite([42898(8),42948(13),43417(15),43269(8),42905(8),42905(9),42948(9)])].
% 33.55/33.83 44138 multiply(A,c_0) = A. [back_rewrite(19708),rewrite([43401(16),42905(9),42905(8),42948(8),42905(6),43004(20),43302(10),43417(10),42905(11),42948(21),43302(21),43717(20),17416(13),42948(16),42905(16),43882(16),43269(11),42898(2)])].
% 33.55/33.83 44278 inverse(inverse(A)) = A. [back_rewrite(37963),rewrite([43269(8),42939(5),42898(3),42898(3),42898(3),42898(3),42898(3),44138(3),44138(2),44138(2),42948(6)]),flip(a)].
% 33.55/33.83 44282 multiply(c_0,A) = A. [back_rewrite(37755),rewrite([44278(3),42987(4),44138(4),42898(3),42898(3),42939(5),42898(3),42898(3),42898(3),42898(3),42898(3),44138(3),44138(3),42898(2),44278(3)])].
% 33.55/33.83 44283 multiply(inverse(A),A) = c_0. [back_rewrite(37738),rewrite([44278(3),42987(4),44138(4),42898(3),42898(3),44282(5),42987(4),42898(3),42898(3),42898(3),42898(3),44138(3),44282(2),44278(3)])].
% 33.55/33.83 44297 multiply(inverse(multiply(A,B)),multiply(B,A)) = c_0. [back_rewrite(37522),rewrite([44278(2),44278(3),44278(3),44282(2),44278(6),44278(6),44282(5),44278(6),44283(6),44138(6),44138(7),44278(6)])].
% 33.55/33.83 44298 multiply(inverse(multiply(inverse(A),multiply(B,A))),B) = c_0. [back_rewrite(37513),rewrite([44278(7),44278(7),44282(6),44278(7),44283(7),44138(7),44138(8),44278(7)])].
% 33.55/33.83 44301 multiply(multiply(A,B),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(A,B),inverse(D)))))) = c_0. [back_rewrite(37364),rewrite([44278(7),44278(7),44282(6),44298(5),42898(2),44297(5),42898(3),44282(10),43705(9),44297(6),42898(4),44278(7),44282(12),44282(12),44138(13),44278(12)])].
% 33.55/33.83 44314 multiply(multiply(A,inverse(B)),B) = A. [back_rewrite(35644),rewrite([44297(4),42898(2),44282(9),43705(8),44278(5),44278(16),44278(16),44282(15),44298(14),42898(11),44138(11),44301(10),42898(2),44282(11),43705(10)])].
% 33.55/33.83 44321 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,D),inverse(B))))) = inverse(multiply(C,D)). [back_rewrite(35495),rewrite([44297(4),42898(2),42898(2),44283(3),44138(3),42898(2),44297(6),42898(4),44282(11),43705(10),44278(5),44282(5),44282(4),44297(6),42898(4),44278(7),44282(12)]),flip(a)].
% 33.55/33.83 44348 inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))) = multiply(C,B). [back_rewrite(20206),rewrite([44297(4),42898(2),44278(5),44321(9),44282(4),44278(3),44297(6),42898(4),44282(9),44278(9),44278(9),44282(9)]),flip(a)].
% 33.55/33.83 44355 inverse(multiply(inverse(multiply(multiply(A,B),C)),A)) = multiply(B,C). [back_rewrite(19911),rewrite([44297(5),42898(3),44297(6),42898(4),44282(11),44348(10),44314(5),44278(5),44278(5),44282(4),44282(7),44278(7),44278(7),44282(7)])].
% 33.55/33.83 44377 multiply(multiply(A,B),inverse(B)) = A. [back_rewrite(17416),rewrite([44278(6),44278(6),44282(5)])].
% 33.55/33.83 44417 inverse(multiply(A,inverse(B))) = multiply(B,inverse(A)). [back_rewrite(43882),rewrite([44278(3),44282(5),44278(5)])].
% 33.55/33.83 44436 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) | multiply(b4,a4) != multiply(a4,b4) # answer(prove_these_axioms). [back_rewrite(3),rewrite([44283(4),44283(5),44283(7),44282(6)]),xx(a),xx(b)].
% 33.55/33.83 44467 inverse(multiply(A,B)) = inverse(multiply(B,A)). [para(44297(a,1),44377(a,1,1)),rewrite([44282(4)])].
% 33.55/33.83 44483 multiply(multiply(A,multiply(B,C)),inverse(B)) = multiply(C,A). [back_rewrite(44355),rewrite([44467(3),44467(5),44417(5)])].
% 33.55/33.83 44485 multiply(A,B) = multiply(B,A). [para(44467(a,1),44278(a,1,1)),rewrite([44278(3)])].
% 33.55/33.83 44492 multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(B,C). [back_rewrite(44483),rewrite([44485(4),44485(5)])].
% 33.55/33.83 44509 multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) # answer(prove_these_axioms). [back_rewrite(44436),rewrite([44485(5),44485(14)]),xx(b)].
% 33.55/33.83 44516 multiply(inverse(A),multiply(B,A)) = B. [back_rewrite(44377),rewrite([44485(3)])].
% 33.55/33.83 44554 multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)). [para(44516(a,1),44492(a,1,2,2)),rewrite([44278(2),44485(3)])].
% 33.55/33.83 44564 $F # answer(prove_these_axioms). [back_rewrite(44509),rewrite([44554(5),44485(4)]),xx(a)].
% 33.55/33.83
% 33.55/33.83 % SZS output end Refutation
% 33.55/33.83 ============================== end of proof ==========================
% 33.55/33.83
% 33.55/33.83 ============================== STATISTICS ============================
% 33.55/33.83
% 33.55/33.83 Given=280. Generated=269934. Kept=44562. proofs=1.
% 33.55/33.83 Usable=8. Sos=6. Demods=24. Limbo=10, Disabled=44540. Hints=0.
% 33.55/33.83 Megabytes=93.61.
% 33.55/33.83 User_CPU=32.66, System_CPU=0.21, Wall_clock=33.
% 33.55/33.83
% 33.55/33.83 ============================== end of statistics =====================
% 33.55/33.83
% 33.55/33.83 ============================== end of search =========================
% 33.55/33.83
% 33.55/33.83 THEOREM PROVED
% 33.55/33.83 % SZS status Unsatisfiable
% 33.55/33.83
% 33.55/33.83 Exiting with 1 proof.
% 33.55/33.83
% 33.55/33.83 Process 25676 exit (max_proofs) Tue Jun 14 03:52:13 2022
% 33.55/33.83 Prover9 interrupted
%------------------------------------------------------------------------------