TSTP Solution File: GRP507-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP507-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.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 11:19:23 EDT 2022
% Result : Unsatisfiable 33.07s 33.36s
% Output : Refutation 33.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP507-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 10:55:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.03/11.34 ============================== Prover9 ===============================
% 11.03/11.34 Prover9 (32) version 2009-11A, November 2009.
% 11.03/11.34 Process 2807 was started by sandbox on n011.cluster.edu,
% 11.03/11.34 Mon Jun 13 10:55:04 2022
% 11.03/11.34 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2624_n011.cluster.edu".
% 11.03/11.34 ============================== end of head ===========================
% 11.03/11.34
% 11.03/11.34 ============================== INPUT =================================
% 11.03/11.34
% 11.03/11.34 % Reading from file /tmp/Prover9_2624_n011.cluster.edu
% 11.03/11.34
% 11.03/11.34 set(prolog_style_variables).
% 11.03/11.34 set(auto2).
% 11.03/11.34 % set(auto2) -> set(auto).
% 11.03/11.34 % set(auto) -> set(auto_inference).
% 11.03/11.34 % set(auto) -> set(auto_setup).
% 11.03/11.34 % set(auto_setup) -> set(predicate_elim).
% 11.03/11.34 % set(auto_setup) -> assign(eq_defs, unfold).
% 11.03/11.34 % set(auto) -> set(auto_limits).
% 11.03/11.34 % set(auto_limits) -> assign(max_weight, "100.000").
% 11.03/11.34 % set(auto_limits) -> assign(sos_limit, 20000).
% 11.03/11.34 % set(auto) -> set(auto_denials).
% 11.03/11.34 % set(auto) -> set(auto_process).
% 11.03/11.34 % set(auto2) -> assign(new_constants, 1).
% 11.03/11.34 % set(auto2) -> assign(fold_denial_max, 3).
% 11.03/11.34 % set(auto2) -> assign(max_weight, "200.000").
% 11.03/11.34 % set(auto2) -> assign(max_hours, 1).
% 11.03/11.34 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 11.03/11.34 % set(auto2) -> assign(max_seconds, 0).
% 11.03/11.34 % set(auto2) -> assign(max_minutes, 5).
% 11.03/11.34 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 11.03/11.34 % set(auto2) -> set(sort_initial_sos).
% 11.03/11.34 % set(auto2) -> assign(sos_limit, -1).
% 11.03/11.34 % set(auto2) -> assign(lrs_ticks, 3000).
% 11.03/11.34 % set(auto2) -> assign(max_megs, 400).
% 11.03/11.34 % set(auto2) -> assign(stats, some).
% 11.03/11.34 % set(auto2) -> clear(echo_input).
% 11.03/11.34 % set(auto2) -> set(quiet).
% 11.03/11.34 % set(auto2) -> clear(print_initial_clauses).
% 11.03/11.34 % set(auto2) -> clear(print_given).
% 11.03/11.34 assign(lrs_ticks,-1).
% 11.03/11.34 assign(sos_limit,10000).
% 11.03/11.34 assign(order,kbo).
% 11.03/11.34 set(lex_order_vars).
% 11.03/11.34 clear(print_given).
% 11.03/11.34
% 11.03/11.34 % formulas(sos). % not echoed (2 formulas)
% 11.03/11.34
% 11.03/11.34 ============================== end of input ==========================
% 11.03/11.34
% 11.03/11.34 % From the command line: assign(max_seconds, 300).
% 11.03/11.34
% 11.03/11.34 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 11.03/11.34
% 11.03/11.34 % Formulas that are not ordinary clauses:
% 11.03/11.34
% 11.03/11.34 ============================== end of process non-clausal formulas ===
% 11.03/11.34
% 11.03/11.34 ============================== PROCESS INITIAL CLAUSES ===============
% 11.03/11.34
% 11.03/11.34 ============================== PREDICATE ELIMINATION =================
% 11.03/11.34
% 11.03/11.34 ============================== end predicate elimination =============
% 11.03/11.34
% 11.03/11.34 Auto_denials:
% 11.03/11.34 % copying label prove_these_axioms_3 to answer in negative clause
% 11.03/11.34
% 11.03/11.34 Term ordering decisions:
% 11.03/11.34
% 11.03/11.34 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 11.03/11.34 Function symbol KB weights: a3=1. b3=1. c3=1. multiply=1. inverse=0.
% 11.03/11.34
% 11.03/11.34 ============================== end of process initial clauses ========
% 11.03/11.34
% 11.03/11.34 ============================== CLAUSES FOR SEARCH ====================
% 11.03/11.34
% 11.03/11.34 ============================== end of clauses for search =============
% 11.03/11.34
% 11.03/11.34 ============================== SEARCH ================================
% 11.03/11.34
% 11.03/11.34 % Starting search at 0.01 seconds.
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=145.000, iters=3653
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=122.000, iters=3818
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=120.000, iters=3448
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=116.000, iters=3411
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=101.000, iters=3382
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=100.000, iters=3482
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=98.000, iters=3446
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=97.000, iters=3356
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=96.000, iters=3546
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=94.000, iters=3456
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=5566, wt=147.000
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=5764, wt=145.000
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=11389, wt=59.000
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=79.000, iters=3428
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=11410, wt=56.000
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=11414, wt=54.000
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=11603, wt=53.000
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=77.000, iters=3441
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=12871, wt=51.000
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=75.000, iters=3482
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=73.000, iters=3342
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=72.000, iters=3346
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=14536, wt=46.000
% 11.03/11.34
% 11.03/11.34 Low Water (displace): id=14771, wt=44.000
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=70.000, iters=3481
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=68.000, iters=3402
% 11.03/11.34
% 11.03/11.34 Low Water (keep): wt=64.000, iters=3338
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=63.000, iters=3396
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=61.000, iters=3338
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=16268, wt=41.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=16448, wt=37.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=16455, wt=35.000
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=59.000, iters=3355
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=38303, wt=34.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=38312, wt=33.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=38328, wt=29.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=38362, wt=26.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=39107, wt=25.000
% 33.07/33.36
% 33.07/33.36 Low Water (displace): id=39766, wt=24.000
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=58.000, iters=3510
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=56.000, iters=3437
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=55.000, iters=3349
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=54.000, iters=3338
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=52.000, iters=3567
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=50.000, iters=3530
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=48.000, iters=3485
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=46.000, iters=3398
% 33.07/33.36
% 33.07/33.36 Low Water (keep): wt=45.000, iters=3380
% 33.07/33.36
% 33.07/33.36 ============================== PROOF =================================
% 33.07/33.36 % SZS status Unsatisfiable
% 33.07/33.36 % SZS output start Refutation
% 33.07/33.36
% 33.07/33.36 % Proof 1 at 32.21 (+ 0.17) seconds: prove_these_axioms_3.
% 33.07/33.36 % Length of proof is 234.
% 33.07/33.36 % Level of proof is 57.
% 33.07/33.36 % Maximum clause weight is 81.000.
% 33.07/33.36 % Given clauses 279.
% 33.07/33.36
% 33.07/33.36 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].
% 33.07/33.36 2 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # label(prove_these_axioms_3) # label(negated_conjecture) # answer(prove_these_axioms_3). [assumption].
% 33.07/33.36 4 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))].
% 33.07/33.36 6 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)].
% 33.07/33.36 37 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),4(a,1,1,1,2,2))].
% 33.07/33.36 108 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(6(a,1),1(a,1,1,1,1,1,1))].
% 33.07/33.36 112 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(6(a,1),1(a,1,1))].
% 33.07/33.36 117 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(6(a,2),1(a,1))].
% 33.07/33.36 244 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),112(a,1,1,1,1,2,2,2,1)),flip(a)].
% 33.07/33.36 305 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(6(a,1),112(a,1,1,1))].
% 33.07/33.36 485 multiply(multiply(A,inverse(B)),inverse(inverse(B))) = multiply(multiply(A,C),inverse(C)). [para(117(a,1),112(a,1,1,1)),flip(a)].
% 33.07/33.36 504 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(117(a,1),117(a,1,1,2,2,2,1,1,1,2)),rewrite([117(27)])].
% 33.07/33.36 509 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(485(a,1),1(a,1,1,1,2,2,2,1))].
% 33.07/33.36 584 multiply(multiply(A,B),inverse(B)) = multiply(multiply(A,C),inverse(C)). [para(485(a,1),485(a,1))].
% 33.07/33.36 617 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(584(a,1),112(a,1,1,1,1,2,2,2,1))].
% 33.07/33.36 626 multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(C))) = multiply(multiply(multiply(A,C),D),inverse(D)). [para(584(a,1),584(a,1,1))].
% 33.07/33.36 674 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(626(a,1),6(a,1,1,2,2,2,1)),rewrite([1(34)])].
% 33.07/33.36 678 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(626(a,1),6(a,2,1,1,2,2,2,1)),rewrite([674(37)])].
% 33.07/33.36 717 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(626(a,1),584(a,1,1)),flip(a)].
% 33.07/33.36 718 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(626(a,2),584(a,1,1))].
% 33.07/33.36 947 multiply(multiply(multiply(A,B),inverse(B)),C) = multiply(multiply(multiply(A,D),inverse(D)),C). [para(717(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([678(22)])].
% 33.07/33.36 1022 multiply(multiply(multiply(multiply(A,B),inverse(B)),C),inverse(C)) = multiply(multiply(multiply(multiply(A,D),inverse(D)),E),inverse(E)). [para(717(a,2),584(a,1))].
% 33.07/33.36 1026 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(717(a,2),626(a,1,1))].
% 33.07/33.36 1100 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(626(a,2),947(a,1,1,1))].
% 33.07/33.36 6040 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(504(a,1),112(a,1,2))].
% 33.07/33.36 6056 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(504(a,1),584(a,1,2))].
% 33.07/33.36 7091 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(584(a,1),509(a,1,1,1,2,1,1))].
% 33.07/33.36 7338 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(6(a,2),674(a,1,1,1,1,1,1))].
% 33.07/33.36 14758 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(112(a,1),617(a,1,1,1,1,2,2))].
% 33.07/33.36 15669 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),multiply(multiply(D,E),inverse(E))) = D. [para(112(a,1),7091(a,1,1,1,2,2)),rewrite([112(22)])].
% 33.07/33.36 15969 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(15669(a,1),626(a,1,1,1)),flip(a)].
% 33.07/33.36 15977 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(15669(a,1),717(a,2,1,1,1))].
% 33.07/33.36 15985 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(15669(a,1),1022(a,1,1,1,1)),flip(a)].
% 33.07/33.36 15994 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(15669(a,1),718(a,1,1,1,1)),flip(a)].
% 33.07/33.36 16178 multiply(A,inverse(multiply(multiply(A,B),inverse(B)))) = multiply(C,inverse(multiply(multiply(C,D),inverse(D)))). [para(15669(a,1),617(a,1,1))].
% 33.07/33.36 16212 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(15669(a,1),15669(a,1,1,1,1,1))].
% 33.07/33.36 16234 multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(inverse(C))) = C. [para(16178(a,1),112(a,1,1)),rewrite([112(22)])].
% 33.07/33.36 16238 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(16178(a,1),626(a,2,1,1)),flip(a)].
% 33.07/33.36 16256 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(16178(a,1),1026(a,2,1,1))].
% 33.07/33.36 16396 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(15994),rewrite([16234(22)])].
% 33.07/33.36 16398 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(15969),rewrite([16234(21)])].
% 33.07/33.36 16401 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)) = multiply(D,inverse(inverse(inverse(D)))). [back_rewrite(15985),rewrite([16396(15)]),flip(a)].
% 33.07/33.36 16402 multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(inverse(multiply(multiply(A,C),inverse(C)))))) = multiply(D,inverse(inverse(inverse(D)))). [back_rewrite(15977),rewrite([16396(15)]),flip(a)].
% 33.07/33.36 16414 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(16234(a,1),112(a,1,1,1,1,1,1,1,1))].
% 33.07/33.36 16437 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(16234(a,1),718(a,2,1,1,1))].
% 33.07/33.36 16438 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(16234(a,1),718(a,2,1,1))].
% 33.07/33.36 16470 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(16234(a,1),1100(a,2,1,1,1))].
% 33.07/33.36 16623 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(15669(a,1),16234(a,1,1,2,1,1))].
% 33.07/33.36 16624 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(16234(a,1),16178(a,1,2,1,1))].
% 33.07/33.36 16625 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(multiply(C,inverse(inverse(inverse(C)))))),inverse(inverse(D))) = D. [para(16234(a,1),16234(a,1,1,2,1,1))].
% 33.07/33.36 16637 multiply(A,inverse(inverse(inverse(A)))) = multiply(B,inverse(inverse(inverse(B)))). [para(6(a,2),16401(a,1,1,1,2,1,1)),rewrite([1(33),305(19)])].
% 33.07/33.36 16649 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(16401(a,2),626(a,2,1)),flip(a)].
% 33.07/33.36 17041 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(16401(a,1),617(a,1,1,1,1,1,1,2))].
% 33.07/33.36 17042 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(16401(a,1),617(a,1,1,1,1,2,1,1))].
% 33.07/33.36 17047 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(16401(a,2),617(a,1,1,1,1,2,1,1))].
% 33.07/33.36 17087 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(16401(a,2),15669(a,1,1,1,1,1,2))].
% 33.07/33.36 17088 inverse(multiply(A,inverse(multiply(multiply(A,B),inverse(B))))) = multiply(C,inverse(inverse(inverse(C)))). [para(15669(a,1),16401(a,1,1,1,2,1,1)),rewrite([16398(19)])].
% 33.07/33.36 17090 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(16401(a,2),16178(a,1,2,1,1))].
% 33.07/33.36 17092 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(16401(a,2),16234(a,1,1,2,1,1))].
% 33.07/33.36 17099 multiply(A,inverse(inverse(inverse(A)))) = c_0. [new_symbol(16637)].
% 33.07/33.36 17107 inverse(multiply(A,inverse(multiply(multiply(A,B),inverse(B))))) = c_0. [back_rewrite(17088),rewrite([17099(10)])].
% 33.07/33.36 17134 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(17042),rewrite([17099(9)])].
% 33.07/33.36 17135 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(17041),rewrite([17099(13)])].
% 33.07/33.36 17290 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(c_0)),inverse(inverse(C))) = C. [back_rewrite(16625),rewrite([17099(9)])].
% 33.07/33.36 17291 multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),inverse(c_0)) = multiply(C,inverse(multiply(multiply(C,D),inverse(D)))). [back_rewrite(16624),rewrite([17099(9)])].
% 33.07/33.36 17309 multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(inverse(multiply(multiply(A,C),inverse(C)))))) = c_0. [back_rewrite(16402),rewrite([17099(14)])].
% 33.07/33.36 17310 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)) = c_0. [back_rewrite(16401),rewrite([17099(12)])].
% 33.07/33.36 17313 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(16623),rewrite([17107(15)])].
% 33.07/33.36 17387 multiply(multiply(multiply(A,B),inverse(B)),C) = multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),C). [back_rewrite(16470),rewrite([17309(10)]),flip(a)].
% 33.07/33.36 17411 multiply(multiply(multiply(A,B),C),inverse(C)) = multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(inverse(B))). [back_rewrite(16437),rewrite([17310(8)]),flip(a)].
% 33.07/33.36 17412 multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(inverse(inverse(multiply(multiply(A,B),inverse(B)))))) = c_0. [back_rewrite(16256),rewrite([17387(4),17411(9),17387(18),17411(23),17099(32),17411(9)]),flip(a)].
% 33.07/33.36 17415 multiply(multiply(A,B),inverse(B)) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [back_rewrite(16438),rewrite([17387(10),17412(13)]),flip(a)].
% 33.07/33.36 17418 multiply(c_0,inverse(inverse(inverse(inverse(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A)))))))))))) = c_0. [back_rewrite(16238),rewrite([17415(3),17415(11),17415(17),17415(23),17099(30)])].
% 33.07/33.36 17420 multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(inverse(B))) = B. [back_rewrite(17092),rewrite([17415(3),17415(11),17418(14)])].
% 33.07/33.36 17421 multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))) = multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))). [back_rewrite(17090),rewrite([17415(3),17415(11),17418(14),17415(11)])].
% 33.07/33.36 17422 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(17087),rewrite([17415(8),17415(16),17418(19),17415(15)])].
% 33.07/33.36 17437 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(17047),rewrite([17415(8),17415(16),17418(19),17415(10),17415(21)])].
% 33.07/33.36 17472 multiply(multiply(c_0,inverse(inverse(inverse(inverse(A))))),inverse(inverse(B))) = multiply(c_0,inverse(inverse(inverse(inverse(multiply(A,B)))))). [back_rewrite(16649),rewrite([17415(3),17415(11),17418(14),17415(10)]),flip(a)].
% 33.07/33.36 19362 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(6056),rewrite([17415(10),17415(24)])].
% 33.07/33.36 19377 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(6040),rewrite([17415(24),19362(35)])].
% 33.07/33.36 19591 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(504),rewrite([17415(10)])].
% 33.07/33.36 19608 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(16398),rewrite([17415(13)])].
% 33.07/33.36 19707 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(7338),rewrite([17415(42)])].
% 33.07/33.36 19813 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(17291),rewrite([17415(3),17415(14)])].
% 33.07/33.36 19814 multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),inverse(inverse(B))) = B. [back_rewrite(17290),rewrite([17415(3)])].
% 33.07/33.36 19829 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(17135),rewrite([17415(4),17415(20),17415(31)])].
% 33.07/33.36 19830 multiply(A,inverse(inverse(inverse(multiply(multiply(B,inverse(multiply(c_0,inverse(inverse(inverse(inverse(B))))))),C))))) = multiply(A,inverse(C)). [back_rewrite(17134),rewrite([17415(10),17415(19),17415(30),17437(33)])].
% 33.07/33.36 19847 inverse(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A)))))))) = c_0. [back_rewrite(17107),rewrite([17415(3)])].
% 33.07/33.36 19854 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(16414),rewrite([17415(6),17415(26)])].
% 33.07/33.36 19872 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(16212),rewrite([17415(13)])].
% 33.07/33.36 19894 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(15669),rewrite([17415(12)])].
% 33.07/33.36 19910 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(14758),rewrite([17415(22),17415(34)])].
% 33.07/33.36 20205 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(244),rewrite([17415(32)])].
% 33.07/33.36 20514 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(6(a,2),19847(a,1,1)),rewrite([19377(27),17099(11)])].
% 33.07/33.36 20813 inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0))) = c_0. [para(19847(a,1),19847(a,1,1,2,1,2,1,1,1)),rewrite([17099(14)])].
% 33.07/33.36 20960 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(19847(a,1),17415(a,1,2))].
% 33.07/33.36 22176 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(20813(a,1),17420(a,1,1,2,1,2,1,1,1)),rewrite([17099(17)])].
% 33.07/33.36 24490 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(19830(a,1),17420(a,1)),flip(a)].
% 33.07/33.36 24512 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(19830(a,1),19830(a,1,2,1,1,1)),rewrite([19830(14)]),flip(a)].
% 33.07/33.36 26037 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),c_0)) = c_0. [para(17313(a,1),17099(a,1))].
% 33.07/33.36 26039 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(17099(a,1),17313(a,1,1,1,1,1,1,2))].
% 33.07/33.36 26422 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(A))),A)),c_0)),multiply(inverse(B),B))),c_0)) = c_0. [para(17099(a,1),26037(a,1,1,1,1,1,1,2))].
% 33.07/33.36 26423 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(26037(a,1),19847(a,1,1,2,1,2,1,1,1)),rewrite([17099(17),17415(14)])].
% 33.07/33.36 26428 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(17415(a,1),26037(a,1,1,1,1,1,1,2))].
% 33.07/33.36 27128 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(26422(a,1),17420(a,1,1,2,1,2,1,1,1)),rewrite([17099(20),17415(17),17472(21)])].
% 33.07/33.36 27133 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(26422(a,1),19814(a,1,2,1)),flip(a)].
% 33.07/33.36 27165 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(26422(a,1),22176(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17099(20),17415(17)])].
% 33.07/33.36 27172 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(26422(a,1),17313(a,1,2,1)),rewrite([17415(14)]),flip(a)].
% 33.07/33.36 27509 multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B)),inverse(inverse(B))) = c_0. [para(24512(a,1),17099(a,1))].
% 33.07/33.36 27510 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(24512(a,1),19847(a,1,1,2,1))].
% 33.07/33.36 27522 inverse(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),B))) = B. [para(24512(a,1),17420(a,1)),rewrite([17420(11)]),flip(a)].
% 33.07/33.36 27817 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(27522(a,1),19847(a,1,1,2,1,2,1,1,1))].
% 33.07/33.36 27818 inverse(inverse(multiply(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(c_0)),B))) = B. [para(19847(a,1),27522(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17099(14)])].
% 33.07/33.36 27827 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(27522(a,1),17420(a,1,2))].
% 33.07/33.36 28167 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(27818(a,1),19847(a,1,1,2,1,2,1,1))].
% 33.07/33.36 29611 inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C))),c_0),D))) = D. [para(26423(a,1),27522(a,1,1,1,1,2))].
% 33.07/33.36 29684 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(17099(a,1),29611(a,1,1,1,1,1,1,1,1,2))].
% 33.07/33.36 29949 inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(c_0))) = c_0. [para(17099(a,1),27817(a,1,1,2,1))].
% 33.07/33.36 30357 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(29949(a,1),19847(a,1,1,2,1,2,1,1,1)),rewrite([17099(20)])].
% 33.07/33.36 30400 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(29949(a,1),17313(a,1,2,1)),rewrite([17415(14)]),flip(a)].
% 33.07/33.36 30646 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(30357(a,1),26039(a,1,2,1)),rewrite([17415(17)]),flip(a)].
% 33.07/33.36 30993 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(17099(a,1),37(a,1,1,1,2,1,1,1,1,2,2,2,1,1,2,1,1,1))].
% 33.07/33.36 31132 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(29684(a,1),19814(a,1,2,1)),flip(a)].
% 33.07/33.36 31286 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(17099(a,1),19608(a,1,2,1,1,1,1)),flip(a)].
% 33.07/33.36 31358 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(30400),rewrite([31286(27)])].
% 33.07/33.36 31360 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(27172),rewrite([31286(27)])].
% 33.07/33.36 31364 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(30646),rewrite([31358(14)]),flip(a)].
% 33.07/33.36 31368 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(31132),rewrite([31360(14)]),flip(a)].
% 33.07/33.36 31370 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(27133),rewrite([31360(14),31368(24)]),flip(a)].
% 33.07/33.36 31371 inverse(multiply(multiply(c_0,inverse(multiply(c_0,inverse(inverse(inverse(inverse(c_0))))))),inverse(A))) = A. [back_rewrite(27165),rewrite([31364(18),31368(16),31370(13),31368(16)])].
% 33.07/33.36 31741 inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),inverse(B))) = B. [para(17421(a,1),31371(a,1,1,1))].
% 33.07/33.36 31970 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(19847(a,1),31741(a,1,1,2))].
% 33.07/33.36 31971 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(31741(a,1),17415(a,1,2))].
% 33.07/33.36 32401 multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(inverse(B))) = B. [para(31970(a,2),17420(a,1,1))].
% 33.07/33.36 32448 inverse(inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),B))) = B. [para(31970(a,2),27522(a,1,1,1,1))].
% 33.07/33.36 32452 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(31970(a,2),27510(a,1,1,1,1))].
% 33.07/33.36 32501 inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))),c_0)),inverse(B))) = B. [para(31970(a,2),31741(a,1,1,1))].
% 33.07/33.36 32844 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(31970(a,2),32448(a,1,1,1,1,1,1))].
% 33.07/33.36 33065 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(31970(a,2),32501(a,1,1,1,1,1))].
% 33.07/33.36 33585 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(31970(a,2),32844(a,1,1,1,1,1,1,1,1))].
% 33.07/33.36 33725 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(31970(a,2),33065(a,1,1,1,1,1,1,1))].
% 33.07/33.36 35058 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(33585(a,1),17472(a,1,2)),flip(a)].
% 33.07/33.36 35288 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(6(a,1),33725(a,1,1,2))].
% 33.07/33.36 35494 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(6(a,1),19872(a,1,2,2,1,1,1))].
% 33.07/33.36 35643 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(17415(a,1),108(a,1,1,1,1,1,2,2,1,2))].
% 33.07/33.36 35761 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(17099(a,1),20514(a,1,1,1,2,2,2,1))].
% 33.07/33.36 35991 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(35761(a,1),17099(a,1,2,1))].
% 33.07/33.36 36745 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(27827(a,1),35991(a,1,1,1,1,1,1))].
% 33.07/33.36 36751 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(32452(a,1),35991(a,1,1,1,1,1))].
% 33.07/33.36 37118 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(24490(a,2),6(a,2,1,1,1,1,2))].
% 33.07/33.36 37213 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(24490(a,2),35991(a,1,1,2,2)),rewrite([17420(17)])].
% 33.07/33.36 37363 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(6(a,1),26428(a,1,1,1,1,2,1))].
% 33.07/33.36 37415 inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A)))),multiply(inverse(C),C))),c_0)) = c_0. [para(19894(a,1),26428(a,1,1,1,1,1,1))].
% 33.07/33.36 37434 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(17422(a,1),26428(a,1,1,1,1,1,1))].
% 33.07/33.36 37438 inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))))),multiply(inverse(C),C))),c_0)) = c_0. [para(19872(a,1),26428(a,1,1,1,1,1,1))].
% 33.07/33.36 37512 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(17415(a,1),37415(a,1,1,1,1,1,1,1,2))].
% 33.07/33.36 37521 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(17472(a,1),37415(a,1,1,1,1,1,1,1,2))].
% 33.07/33.36 37737 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(37434(a,1),27509(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17099(21),17415(18)])].
% 33.07/33.36 37754 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(37434(a,1),32401(a,1,1,1,1,2,1,2,1,1,1)),rewrite([17099(21),17415(18)])].
% 33.07/33.36 37962 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(37438(a,1),20960(a,1,1,2,2,1,2,1,1,1)),rewrite([17099(19),17415(16)])].
% 33.07/33.36 38042 multiply(inverse(multiply(c_0,multiply(inverse(A),A))),multiply(c_0,inverse(inverse(inverse(inverse(B)))))) = B. [para(37438(a,1),17422(a,1,1,1,1))].
% 33.07/33.36 38055 multiply(c_0,inverse(inverse(inverse(inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),A))),B)))))) = B. [para(37438(a,1),27128(a,1,2,1,1,1,1,1,1,1))].
% 33.07/33.36 38220 inverse(inverse(inverse(inverse(multiply(c_0,multiply(inverse(A),A)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(17099(a,1),38055(a,1,2,1,1,1,1)),flip(a)].
% 33.07/33.36 38268 multiply(inverse(multiply(c_0,multiply(inverse(A),A))),B) = multiply(inverse(multiply(c_0,multiply(inverse(C),C))),B). [para(38055(a,1),38042(a,1,2))].
% 33.07/33.36 38293 inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),A))),c_0)) = c_0. [para(38220(a,1),19847(a,1,1,2,1,2,1)),rewrite([19847(16)])].
% 33.07/33.36 38294 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(38220(a,1),19847(a,1,1,2,1,2))].
% 33.07/33.36 38313 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(38220(a,1),20960(a,1,1,2,2,1,2,1)),rewrite([19847(16)])].
% 33.07/33.36 39611 inverse(multiply(c_0,multiply(inverse(A),A))) = inverse(multiply(c_0,multiply(inverse(B),B))). [para(38268(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([1(22)])].
% 33.07/33.36 39767 multiply(c_0,multiply(inverse(A),A)) = multiply(c_0,multiply(inverse(B),B)). [para(39611(a,1),17420(a,1,2,1)),rewrite([17420(15)])].
% 33.07/33.36 39889 multiply(multiply(c_0,multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(39767(a,1),17415(a,1,1))].
% 33.07/33.36 39928 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(38293(a,1),39767(a,1,2,1)),flip(a)].
% 33.07/33.36 40364 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(38294(a,1),6(a,2,1,1,2,2,2))].
% 33.07/33.36 40375 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(38294(a,1),17472(a,1,2,1)),flip(a)].
% 33.07/33.36 40664 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(39889(a,1),17472(a,2,2,1,1,1,1)),rewrite([38220(9)])].
% 33.07/33.36 40814 multiply(c_0,inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),A))),B)))))) = B. [para(39928(a,2),19608(a,1,2,1,1,1,1,1,1,1,1,1,1)),rewrite([38313(17),38042(14)])].
% 33.07/33.36 40846 multiply(inverse(multiply(inverse(inverse(c_0)),multiply(inverse(A),A))),multiply(c_0,inverse(inverse(inverse(inverse(B)))))) = B. [para(39928(a,2),19872(a,1,1,1,1,1,1,1,1)),rewrite([38313(16),38042(13)])].
% 33.07/33.36 40863 inverse(inverse(inverse(inverse(multiply(inverse(c_0),multiply(inverse(A),A)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(39928(a,2),31286(a,1,1,1,1,1,1,1,1,1)),rewrite([38313(16),38042(13)])].
% 33.07/33.36 41168 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),A))),B) = multiply(inverse(multiply(c_0,multiply(inverse(C),C))),B). [para(40814(a,1),38042(a,1,2)),flip(a)].
% 33.07/33.36 41492 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(31286(a,1),40846(a,1,2,2))].
% 33.07/33.36 41980 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(40863(a,1),31971(a,1,1,2,2))].
% 33.07/33.36 42004 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(40863(a,1),33725(a,1,1,1,1,1,1,1,1,1,2,1,2))].
% 33.07/33.36 42105 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(40863(a,1),40846(a,1,2,2))].
% 33.07/33.36 42385 inverse(multiply(inverse(c_0),multiply(inverse(A),A))) = inverse(multiply(c_0,multiply(inverse(B),B))). [para(41168(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([1(22)]),flip(a)].
% 33.07/33.36 42600 multiply(inverse(c_0),multiply(inverse(A),A)) = multiply(c_0,multiply(inverse(B),B)). [para(42385(a,1),17420(a,1,2,1)),rewrite([17420(15)]),flip(a)].
% 33.07/33.36 42715 multiply(c_0,inverse(inverse(inverse(inverse(inverse(c_0)))))) = multiply(c_0,inverse(inverse(inverse(inverse(c_0))))). [para(42600(a,1),17415(a,1,1)),rewrite([39889(8)]),flip(a)].
% 33.07/33.36 42854 multiply(c_0,inverse(inverse(inverse(inverse(c_0))))) = c_0. [para(42715(a,1),1(a,1,1,1,2,2,2,1,1)),rewrite([19591(21)])].
% 33.07/33.36 42862 multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A))))))) = multiply(inverse(c_0),inverse(c_0)). [para(42715(a,1),17421(a,1,2,1)),rewrite([42854(9)]),flip(a)].
% 33.07/33.36 42868 multiply(multiply(inverse(c_0),inverse(c_0)),inverse(c_0)) = multiply(inverse(c_0),inverse(c_0)). [para(42715(a,1),19813(a,1,1,2,1)),rewrite([42854(9),42862(16)])].
% 33.07/33.36 42874 inverse(inverse(c_0)) = c_0. [para(42715(a,1),37(a,1,1,1,2,1,1,1,1,2,2,2,1,1,2,1,1,1)),rewrite([42854(34),30993(51)])].
% 33.07/33.36 42878 inverse(multiply(multiply(inverse(c_0),inverse(multiply(c_0,c_0))),c_0)) = multiply(inverse(c_0),inverse(c_0)). [para(42715(a,1),31970(a,1,1,1,2,1)),rewrite([42874(6),42874(6),42862(18)])].
% 33.07/33.36 42880 inverse(multiply(multiply(inverse(c_0),inverse(c_0)),inverse(A))) = A. [para(42715(a,1),32501(a,1,1,1,1,1,2,1)),rewrite([42874(6),42874(6),42878(10)])].
% 33.07/33.36 42893 multiply(c_0,c_0) = c_0. [para(42715(a,1),28167(a,1,1,2,1)),rewrite([42862(8),42868(8),42874(8),42868(8),42874(9),42874(9),42880(11)])].
% 33.07/33.36 42894 multiply(multiply(A,multiply(multiply(inverse(c_0),inverse(c_0)),inverse(B))),B) = multiply(c_0,inverse(inverse(inverse(inverse(A))))). [para(42715(a,1),31971(a,1,1,2,1,2,1)),rewrite([42874(6),42874(6),42893(5)])].
% 33.07/33.36 42895 multiply(c_0,inverse(c_0)) = c_0. [para(42715(a,1),31971(a,2)),rewrite([42862(10),42894(11),42874(4),42874(4),42874(8),42874(8),42893(7)])].
% 33.07/33.36 42897 inverse(c_0) = c_0. [para(42715(a,1),17422(a,1,2)),rewrite([42874(16),42874(16),42893(15),31360(14),42874(5),42874(5),42893(4),42895(4)]),flip(a)].
% 33.07/33.36 42904 inverse(multiply(c_0,A)) = multiply(c_0,inverse(A)). [para(42715(a,1),24490(a,1,1,1,2,1)),rewrite([42897(2),42897(4),42897(4),42897(4),42897(4),42893(4),42897(3),42893(3),42862(11),42897(5),42897(6),42893(6)])].
% 33.07/33.36 42907 multiply(multiply(c_0,inverse(multiply(inverse(A),A))),c_0) = c_0. [para(42715(a,1),38042(a,1,2)),rewrite([42904(5),42897(8),42897(8),42897(8),42897(8),42893(8),42897(9)])].
% 33.07/33.36 42938 multiply(c_0,multiply(inverse(A),A)) = c_0. [back_rewrite(42105),rewrite([42897(2),42897(2),42904(5),42897(9),42897(9),42897(9),42897(9),42893(9),42893(8),42907(7),42897(3)]),flip(a)].
% 33.07/33.36 42947 multiply(c_0,inverse(inverse(A))) = A. [back_rewrite(42004),rewrite([42897(2),42938(4),42897(5),42897(5),42897(5),42897(5),42893(5),42893(4),42897(3),42893(3),42893(3),42897(2),42893(3),42897(2),42893(3),42897(2),42904(4)])].
% 33.07/33.36 42949 multiply(multiply(A,c_0),c_0) = inverse(inverse(A)). [back_rewrite(41980),rewrite([42947(6),17099(4),42897(4),42897(4),42897(4),42897(4),42893(4),42893(3),42897(4),42938(6),42897(4),42897(4),42897(4),42947(10)])].
% 33.07/33.36 42955 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(C),C)) = c_0. [back_rewrite(41492),rewrite([42897(2),42897(2),42938(4),42897(2),42897(5),42897(5),42897(5),42897(5),42893(5),42893(4),42893(3)]),flip(a)].
% 33.07/33.36 42986 inverse(multiply(inverse(A),A)) = c_0. [back_rewrite(40664),rewrite([42897(4),42897(4),42897(4),42897(4),42893(4),42893(3),42947(7),42897(7),42897(7),42897(7),42897(7),42893(7),42897(6),42897(6),42897(6),42897(6),42893(6)])].
% 33.07/33.36 42998 inverse(inverse(multiply(A,c_0))) = multiply(inverse(inverse(A)),c_0). [back_rewrite(40375),rewrite([42938(5),42897(6),42897(6),42897(6),42897(6),42893(6),42893(5),42897(4),42893(4),42947(8),42947(10),42897(8)])].
% 33.07/33.36 43003 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(40364),rewrite([42938(11),42947(11),42897(23),42897(23),42897(23),42897(23),42893(23),42893(22),42955(26),42897(16)])].
% 33.07/33.36 43268 inverse(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))))) = c_0. [back_rewrite(37213),rewrite([42897(7),42947(12),17099(10),42893(9),42897(8),42893(8),42897(9),42949(9)])].
% 33.07/33.36 43301 multiply(multiply(c_0,A),B) = multiply(c_0,multiply(A,inverse(inverse(B)))). [back_rewrite(37118),rewrite([43003(17),42947(12),17099(10),42947(15),17099(13),42904(12),43003(23)]),flip(a)].
% 33.07/33.36 43335 inverse(multiply(inverse(A),multiply(c_0,A))) = c_0. [back_rewrite(36751),rewrite([42947(5),42947(8),17099(6),42893(5),42897(4),42904(7),42897(9),42897(9),42897(12),43301(14),42986(13),42897(8),42897(11),43301(11),42897(10),42897(10),42949(10),42947(9)])].
% 33.07/33.36 43338 inverse(multiply(inverse(A),multiply(inverse(inverse(A)),c_0))) = c_0. [back_rewrite(36745),rewrite([42947(6),17099(4),42904(3),42947(9),17099(7),43301(6),42998(6),42904(9),42897(11),42897(11),42897(14),43301(16),42986(15),42897(10),42897(13),43301(13),42897(12),42897(12),42949(12),42947(11)])].
% 33.07/33.36 43400 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(35288),rewrite([42947(6),17099(4),42893(3),42897(2),42893(3),42897(2),42893(3),42897(2),43003(15),43301(4),42904(8),42904(7)]),flip(a)].
% 33.07/33.36 43416 inverse(inverse(multiply(A,multiply(c_0,B)))) = multiply(inverse(inverse(A)),B). [back_rewrite(35058),rewrite([42947(7),17099(5),42893(4),42897(3),42893(4),42897(3),42893(4),42897(3),42947(9),42947(11)])].
% 33.07/33.36 43704 inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,inverse(B)))))) = C. [back_rewrite(19854),rewrite([42947(10),17099(8),43338(8),42904(11),42904(12),42947(12),42947(12)])].
% 33.07/33.36 43716 inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(inverse(C)))))) = multiply(C,B). [back_rewrite(19829),rewrite([42947(8),17099(6),43335(6),42893(4),42897(3),42947(10),42904(11),42904(12),42947(12),42947(12)])].
% 33.07/33.36 43881 multiply(c_0,inverse(multiply(A,inverse(inverse(inverse(B)))))) = multiply(B,inverse(inverse(inverse(A)))). [back_rewrite(17437),rewrite([42897(8),42947(13),43416(15),43268(8),42904(8),42904(9),42947(9)])].
% 33.07/33.36 44137 multiply(A,c_0) = A. [back_rewrite(19707),rewrite([43400(16),42904(9),42904(8),42947(8),42904(6),43003(20),43301(10),43416(10),42904(11),42947(21),43301(21),43716(20),17415(13),42947(16),42904(16),43881(16),43268(11),42897(2)])].
% 33.07/33.36 44277 inverse(inverse(A)) = A. [back_rewrite(37962),rewrite([43268(8),42938(5),42897(3),42897(3),42897(3),42897(3),42897(3),44137(3),44137(2),44137(2),42947(6)]),flip(a)].
% 33.07/33.36 44281 multiply(c_0,A) = A. [back_rewrite(37754),rewrite([44277(3),42986(4),44137(4),42897(3),42897(3),42938(5),42897(3),42897(3),42897(3),42897(3),42897(3),44137(3),44137(3),42897(2),44277(3)])].
% 33.07/33.36 44282 multiply(inverse(A),A) = c_0. [back_rewrite(37737),rewrite([44277(3),42986(4),44137(4),42897(3),42897(3),44281(5),42986(4),42897(3),42897(3),42897(3),42897(3),44137(3),44281(2),44277(3)])].
% 33.07/33.36 44296 multiply(inverse(multiply(A,B)),multiply(B,A)) = c_0. [back_rewrite(37521),rewrite([44277(2),44277(3),44277(3),44281(2),44277(6),44277(6),44281(5),44277(6),44282(6),44137(6),44137(7),44277(6)])].
% 33.07/33.36 44297 multiply(inverse(multiply(inverse(A),multiply(B,A))),B) = c_0. [back_rewrite(37512),rewrite([44277(7),44277(7),44281(6),44277(7),44282(7),44137(7),44137(8),44277(7)])].
% 33.07/33.36 44300 multiply(multiply(A,B),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(A,B),inverse(D)))))) = c_0. [back_rewrite(37363),rewrite([44277(7),44277(7),44281(6),44297(5),42897(2),44296(5),42897(3),44281(10),43704(9),44296(6),42897(4),44277(7),44281(12),44281(12),44137(13),44277(12)])].
% 33.07/33.36 44313 multiply(multiply(A,inverse(B)),B) = A. [back_rewrite(35643),rewrite([44296(4),42897(2),44281(9),43704(8),44277(5),44277(16),44277(16),44281(15),44297(14),42897(11),44137(11),44300(10),42897(2),44281(11),43704(10)])].
% 33.07/33.36 44320 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,D),inverse(B))))) = inverse(multiply(C,D)). [back_rewrite(35494),rewrite([44296(4),42897(2),42897(2),44282(3),44137(3),42897(2),44296(6),42897(4),44281(11),43704(10),44277(5),44281(5),44281(4),44296(6),42897(4),44277(7),44281(12)]),flip(a)].
% 33.07/33.36 44347 inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))) = multiply(C,B). [back_rewrite(20205),rewrite([44296(4),42897(2),44277(5),44320(9),44281(4),44277(3),44296(6),42897(4),44281(9),44277(9),44277(9),44281(9)]),flip(a)].
% 33.07/33.36 44354 inverse(multiply(inverse(multiply(multiply(A,B),C)),A)) = multiply(B,C). [back_rewrite(19910),rewrite([44296(5),42897(3),44296(6),42897(4),44281(11),44347(10),44313(5),44277(5),44277(5),44281(4),44281(7),44277(7),44277(7),44281(7)])].
% 33.07/33.36 44376 multiply(multiply(A,B),inverse(B)) = A. [back_rewrite(17415),rewrite([44277(6),44277(6),44281(5)])].
% 33.07/33.36 44416 inverse(multiply(A,inverse(B))) = multiply(B,inverse(A)). [back_rewrite(43881),rewrite([44277(3),44281(5),44277(5)])].
% 33.07/33.36 44465 inverse(multiply(A,B)) = inverse(multiply(B,A)). [para(44296(a,1),44376(a,1,1)),rewrite([44281(4)])].
% 33.07/33.36 44481 multiply(multiply(A,multiply(B,C)),inverse(B)) = multiply(C,A). [back_rewrite(44354),rewrite([44465(3),44465(5),44416(5)])].
% 33.07/33.36 44483 multiply(A,B) = multiply(B,A). [para(44465(a,1),44277(a,1,1)),rewrite([44277(3)])].
% 33.07/33.36 44490 multiply(inverse(A),multiply(B,multiply(A,C))) = multiply(B,C). [back_rewrite(44481),rewrite([44483(4),44483(5)])].
% 33.07/33.36 44513 multiply(inverse(A),multiply(B,A)) = B. [back_rewrite(44376),rewrite([44483(3)])].
% 33.07/33.36 44515 multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) # answer(prove_these_axioms_3). [back_rewrite(2),rewrite([44483(5)])].
% 33.07/33.36 44552 multiply(A,multiply(B,C)) = multiply(B,multiply(A,C)). [para(44513(a,1),44490(a,1,2,2)),rewrite([44277(2),44483(3)])].
% 33.07/33.36 44562 $F # answer(prove_these_axioms_3). [back_rewrite(44515),rewrite([44552(5),44483(4)]),xx(a)].
% 33.07/33.36
% 33.07/33.36 % SZS output end Refutation
% 33.07/33.36 ============================== end of proof ==========================
% 33.07/33.36
% 33.07/33.36 ============================== STATISTICS ============================
% 33.07/33.36
% 33.07/33.36 Given=279. Generated=269932. Kept=44561. proofs=1.
% 33.07/33.36 Usable=9. Sos=6. Demods=25. Limbo=10, Disabled=44538. Hints=0.
% 33.07/33.36 Megabytes=93.55.
% 33.07/33.36 User_CPU=32.21, System_CPU=0.17, Wall_clock=32.
% 33.07/33.36
% 33.07/33.36 ============================== end of statistics =====================
% 33.07/33.36
% 33.07/33.36 ============================== end of search =========================
% 33.07/33.36
% 33.07/33.36 THEOREM PROVED
% 33.07/33.36 % SZS status Unsatisfiable
% 33.07/33.36
% 33.07/33.36 Exiting with 1 proof.
% 33.07/33.36
% 33.07/33.36 Process 2807 exit (max_proofs) Mon Jun 13 10:55:36 2022
% 33.07/33.36 Prover9 interrupted
%------------------------------------------------------------------------------