TSTP Solution File: GRP505-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP505-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 11:19:22 EDT 2022

% Result   : Unsatisfiable 32.17s 32.49s
% Output   : Refutation 32.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP505-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 10:04:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 10.78/11.08  ============================== Prover9 ===============================
% 10.78/11.08  Prover9 (32) version 2009-11A, November 2009.
% 10.78/11.08  Process 31798 was started by sandbox2 on n023.cluster.edu,
% 10.78/11.08  Tue Jun 14 10:04:51 2022
% 10.78/11.08  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31517_n023.cluster.edu".
% 10.78/11.08  ============================== end of head ===========================
% 10.78/11.08  
% 10.78/11.08  ============================== INPUT =================================
% 10.78/11.08  
% 10.78/11.08  % Reading from file /tmp/Prover9_31517_n023.cluster.edu
% 10.78/11.08  
% 10.78/11.08  set(prolog_style_variables).
% 10.78/11.08  set(auto2).
% 10.78/11.08      % set(auto2) -> set(auto).
% 10.78/11.08      % set(auto) -> set(auto_inference).
% 10.78/11.08      % set(auto) -> set(auto_setup).
% 10.78/11.08      % set(auto_setup) -> set(predicate_elim).
% 10.78/11.08      % set(auto_setup) -> assign(eq_defs, unfold).
% 10.78/11.08      % set(auto) -> set(auto_limits).
% 10.78/11.08      % set(auto_limits) -> assign(max_weight, "100.000").
% 10.78/11.08      % set(auto_limits) -> assign(sos_limit, 20000).
% 10.78/11.08      % set(auto) -> set(auto_denials).
% 10.78/11.08      % set(auto) -> set(auto_process).
% 10.78/11.08      % set(auto2) -> assign(new_constants, 1).
% 10.78/11.08      % set(auto2) -> assign(fold_denial_max, 3).
% 10.78/11.08      % set(auto2) -> assign(max_weight, "200.000").
% 10.78/11.08      % set(auto2) -> assign(max_hours, 1).
% 10.78/11.08      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 10.78/11.08      % set(auto2) -> assign(max_seconds, 0).
% 10.78/11.08      % set(auto2) -> assign(max_minutes, 5).
% 10.78/11.08      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 10.78/11.08      % set(auto2) -> set(sort_initial_sos).
% 10.78/11.08      % set(auto2) -> assign(sos_limit, -1).
% 10.78/11.08      % set(auto2) -> assign(lrs_ticks, 3000).
% 10.78/11.08      % set(auto2) -> assign(max_megs, 400).
% 10.78/11.08      % set(auto2) -> assign(stats, some).
% 10.78/11.08      % set(auto2) -> clear(echo_input).
% 10.78/11.08      % set(auto2) -> set(quiet).
% 10.78/11.08      % set(auto2) -> clear(print_initial_clauses).
% 10.78/11.08      % set(auto2) -> clear(print_given).
% 10.78/11.08  assign(lrs_ticks,-1).
% 10.78/11.08  assign(sos_limit,10000).
% 10.78/11.08  assign(order,kbo).
% 10.78/11.08  set(lex_order_vars).
% 10.78/11.08  clear(print_given).
% 10.78/11.08  
% 10.78/11.08  % formulas(sos).  % not echoed (2 formulas)
% 10.78/11.08  
% 10.78/11.08  ============================== end of input ==========================
% 10.78/11.08  
% 10.78/11.08  % From the command line: assign(max_seconds, 300).
% 10.78/11.08  
% 10.78/11.08  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 10.78/11.08  
% 10.78/11.08  % Formulas that are not ordinary clauses:
% 10.78/11.08  
% 10.78/11.08  ============================== end of process non-clausal formulas ===
% 10.78/11.08  
% 10.78/11.08  ============================== PROCESS INITIAL CLAUSES ===============
% 10.78/11.08  
% 10.78/11.08  ============================== PREDICATE ELIMINATION =================
% 10.78/11.08  
% 10.78/11.08  ============================== end predicate elimination =============
% 10.78/11.08  
% 10.78/11.08  Auto_denials:
% 10.78/11.08    % copying label prove_these_axioms_1 to answer in negative clause
% 10.78/11.08  
% 10.78/11.08  Term ordering decisions:
% 10.78/11.08  
% 10.78/11.08  % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 10.78/11.08  Function symbol KB weights:  a1=1. b1=1. multiply=1. inverse=0.
% 10.78/11.08  
% 10.78/11.08  ============================== end of process initial clauses ========
% 10.78/11.08  
% 10.78/11.08  ============================== CLAUSES FOR SEARCH ====================
% 10.78/11.08  
% 10.78/11.08  ============================== end of clauses for search =============
% 10.78/11.08  
% 10.78/11.08  ============================== SEARCH ================================
% 10.78/11.08  
% 10.78/11.08  % Starting search at 0.01 seconds.
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=145.000, iters=3653
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=122.000, iters=3818
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=120.000, iters=3448
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=116.000, iters=3411
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=101.000, iters=3382
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=100.000, iters=3482
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=98.000, iters=3446
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=97.000, iters=3356
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=96.000, iters=3546
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=94.000, iters=3456
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=5567, wt=147.000
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=5765, wt=145.000
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=11390, wt=59.000
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=79.000, iters=3428
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=11411, wt=56.000
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=11415, wt=54.000
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=11604, wt=53.000
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=77.000, iters=3441
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=12872, wt=51.000
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=75.000, iters=3482
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=73.000, iters=3342
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=72.000, iters=3346
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=14537, wt=46.000
% 10.78/11.08  
% 10.78/11.08  Low Water (displace): id=14772, wt=44.000
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=70.000, iters=3481
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=68.000, iters=3402
% 10.78/11.08  
% 10.78/11.08  Low Water (keep): wt=64.000, iters=3338
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=63.000, iters=3396
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=61.000, iters=3338
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=16269, wt=41.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=16449, wt=37.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=16456, wt=35.000
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=59.000, iters=3355
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=38304, wt=34.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=38313, wt=33.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=38329, wt=29.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=38363, wt=26.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=39108, wt=25.000
% 32.17/32.49  
% 32.17/32.49  Low Water (displace): id=39767, wt=24.000
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=58.000, iters=3510
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=56.000, iters=3437
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=55.000, iters=3349
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=54.000, iters=3338
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=52.000, iters=3567
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=50.000, iters=3530
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=48.000, iters=3485
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=46.000, iters=3398
% 32.17/32.49  
% 32.17/32.49  Low Water (keep): wt=45.000, iters=3380
% 32.17/32.49  
% 32.17/32.49  ============================== PROOF =================================
% 32.17/32.49  % SZS status Unsatisfiable
% 32.17/32.49  % SZS output start Refutation
% 32.17/32.49  
% 32.17/32.49  % Proof 1 at 31.29 (+ 0.19) seconds: prove_these_axioms_1.
% 32.17/32.49  % Length of proof is 199.
% 32.17/32.49  % Level of proof is 50.
% 32.17/32.49  % Maximum clause weight is 77.000.
% 32.17/32.49  % Given clauses 261.
% 32.17/32.49  
% 32.17/32.49  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].
% 32.17/32.49  2 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) # label(prove_these_axioms_1) # label(negated_conjecture) # answer(prove_these_axioms_1).  [assumption].
% 32.17/32.49  3 multiply(inverse(b1),b1) != multiply(inverse(a1),a1) # answer(prove_these_axioms_1).  [copy(2),flip(a)].
% 32.17/32.49  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))].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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)].
% 32.17/32.49  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)])].
% 32.17/32.49  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))].
% 32.17/32.49  585 multiply(multiply(A,B),inverse(B)) = multiply(multiply(A,C),inverse(C)).  [para(486(a,1),486(a,1))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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)].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  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)])].
% 32.17/32.49  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))].
% 32.17/32.49  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))].
% 32.17/32.49  17100 multiply(A,inverse(inverse(inverse(A)))) = c_0.  [new_symbol(16638)].
% 32.17/32.49  17108 inverse(multiply(A,inverse(multiply(multiply(A,B),inverse(B))))) = c_0.  [back_rewrite(17089),rewrite([17100(10)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  17311 multiply(multiply(multiply(A,inverse(multiply(multiply(A,B),inverse(B)))),C),inverse(C)) = c_0.  [back_rewrite(16402),rewrite([17100(12)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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)].
% 32.17/32.49  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)].
% 32.17/32.49  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)].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.49  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  19848 inverse(multiply(A,inverse(multiply(c_0,inverse(inverse(inverse(inverse(A)))))))) = c_0.  [back_rewrite(17108),rewrite([17416(3)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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))].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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))].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  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)].
% 32.17/32.50  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)])].
% 32.17/32.50  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)])].
% 32.17/32.50  44436 $F # answer(prove_these_axioms_1).  [back_rewrite(3),rewrite([44283(4),44283(5)]),xx(a)].
% 32.17/32.50  
% 32.17/32.50  % SZS output end Refutation
% 32.17/32.50  ============================== end of proof ==========================
% 32.17/32.50  
% 32.17/32.50  ============================== STATISTICS ============================
% 32.17/32.50  
% 32.17/32.50  Given=261. Generated=269493. Kept=44434. proofs=1.
% 32.17/32.50  Usable=0. Sos=7. Demods=158. Limbo=153, Disabled=44276. Hints=0.
% 32.17/32.50  Megabytes=93.50.
% 32.17/32.50  User_CPU=31.29, System_CPU=0.19, Wall_clock=32.
% 32.17/32.50  
% 32.17/32.50  ============================== end of statistics =====================
% 32.17/32.50  
% 32.17/32.50  ============================== end of search =========================
% 32.17/32.50  
% 32.17/32.50  THEOREM PROVED
% 32.17/32.50  % SZS status Unsatisfiable
% 32.17/32.50  
% 32.17/32.50  Exiting with 1 proof.
% 32.17/32.50  
% 32.17/32.50  Process 31798 exit (max_proofs) Tue Jun 14 10:05:23 2022
% 32.17/32.50  Prover9 interrupted
%------------------------------------------------------------------------------