TSTP Solution File: GRP405-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:18:57 EDT 2022
% Result : Unsatisfiable 2.84s 3.11s
% Output : Refutation 2.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 06:43:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.84/3.11 ============================== Prover9 ===============================
% 2.84/3.11 Prover9 (32) version 2009-11A, November 2009.
% 2.84/3.11 Process 16036 was started by sandbox on n007.cluster.edu,
% 2.84/3.11 Tue Jun 14 06:43:25 2022
% 2.84/3.11 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15883_n007.cluster.edu".
% 2.84/3.11 ============================== end of head ===========================
% 2.84/3.11
% 2.84/3.11 ============================== INPUT =================================
% 2.84/3.11
% 2.84/3.11 % Reading from file /tmp/Prover9_15883_n007.cluster.edu
% 2.84/3.11
% 2.84/3.11 set(prolog_style_variables).
% 2.84/3.11 set(auto2).
% 2.84/3.11 % set(auto2) -> set(auto).
% 2.84/3.11 % set(auto) -> set(auto_inference).
% 2.84/3.11 % set(auto) -> set(auto_setup).
% 2.84/3.11 % set(auto_setup) -> set(predicate_elim).
% 2.84/3.11 % set(auto_setup) -> assign(eq_defs, unfold).
% 2.84/3.11 % set(auto) -> set(auto_limits).
% 2.84/3.11 % set(auto_limits) -> assign(max_weight, "100.000").
% 2.84/3.11 % set(auto_limits) -> assign(sos_limit, 20000).
% 2.84/3.11 % set(auto) -> set(auto_denials).
% 2.84/3.11 % set(auto) -> set(auto_process).
% 2.84/3.11 % set(auto2) -> assign(new_constants, 1).
% 2.84/3.11 % set(auto2) -> assign(fold_denial_max, 3).
% 2.84/3.11 % set(auto2) -> assign(max_weight, "200.000").
% 2.84/3.11 % set(auto2) -> assign(max_hours, 1).
% 2.84/3.11 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.84/3.11 % set(auto2) -> assign(max_seconds, 0).
% 2.84/3.11 % set(auto2) -> assign(max_minutes, 5).
% 2.84/3.11 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.84/3.11 % set(auto2) -> set(sort_initial_sos).
% 2.84/3.11 % set(auto2) -> assign(sos_limit, -1).
% 2.84/3.11 % set(auto2) -> assign(lrs_ticks, 3000).
% 2.84/3.11 % set(auto2) -> assign(max_megs, 400).
% 2.84/3.11 % set(auto2) -> assign(stats, some).
% 2.84/3.11 % set(auto2) -> clear(echo_input).
% 2.84/3.11 % set(auto2) -> set(quiet).
% 2.84/3.11 % set(auto2) -> clear(print_initial_clauses).
% 2.84/3.11 % set(auto2) -> clear(print_given).
% 2.84/3.11 assign(lrs_ticks,-1).
% 2.84/3.11 assign(sos_limit,10000).
% 2.84/3.11 assign(order,kbo).
% 2.84/3.11 set(lex_order_vars).
% 2.84/3.11 clear(print_given).
% 2.84/3.11
% 2.84/3.11 % formulas(sos). % not echoed (2 formulas)
% 2.84/3.11
% 2.84/3.11 ============================== end of input ==========================
% 2.84/3.11
% 2.84/3.11 % From the command line: assign(max_seconds, 300).
% 2.84/3.11
% 2.84/3.11 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.84/3.11
% 2.84/3.11 % Formulas that are not ordinary clauses:
% 2.84/3.11
% 2.84/3.11 ============================== end of process non-clausal formulas ===
% 2.84/3.11
% 2.84/3.11 ============================== PROCESS INITIAL CLAUSES ===============
% 2.84/3.11
% 2.84/3.11 ============================== PREDICATE ELIMINATION =================
% 2.84/3.11
% 2.84/3.11 ============================== end predicate elimination =============
% 2.84/3.11
% 2.84/3.11 Auto_denials:
% 2.84/3.11 % copying label prove_these_axioms_3 to answer in negative clause
% 2.84/3.11
% 2.84/3.11 Term ordering decisions:
% 2.84/3.11
% 2.84/3.11 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 2.84/3.11 Function symbol KB weights: a3=1. b3=1. c3=1. multiply=1. inverse=0.
% 2.84/3.11
% 2.84/3.11 ============================== end of process initial clauses ========
% 2.84/3.11
% 2.84/3.11 ============================== CLAUSES FOR SEARCH ====================
% 2.84/3.11
% 2.84/3.11 ============================== end of clauses for search =============
% 2.84/3.11
% 2.84/3.11 ============================== SEARCH ================================
% 2.84/3.11
% 2.84/3.11 % Starting search at 0.01 seconds.
% 2.84/3.11
% 2.84/3.11 ============================== PROOF =================================
% 2.84/3.11 % SZS status Unsatisfiable
% 2.84/3.11 % SZS output start Refutation
% 2.84/3.11
% 2.84/3.11 % Proof 1 at 2.14 (+ 0.02) seconds: prove_these_axioms_3.
% 2.84/3.11 % Length of proof is 243.
% 2.84/3.11 % Level of proof is 43.
% 2.84/3.11 % Maximum clause weight is 187.000.
% 2.84/3.11 % Given clauses 39.
% 2.84/3.11
% 2.84/3.11 1 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C # label(single_axiom) # label(axiom). [assumption].
% 2.84/3.11 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].
% 2.84/3.11 3 multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),inverse(multiply(D,multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),inverse(multiply(D,multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),inverse(multiply(D,multiply(inverse(D),D))))))))))) = C. [para(1(a,1),1(a,1,2,1,1,1,1,1))].
% 2.84/3.11 4 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(A,inverse(multiply(inverse(D),inverse(multiply(B,multiply(inverse(B),B)))))). [para(1(a,1),1(a,1,2,1,1,1)),flip(a)].
% 2.84/3.11 6 inverse(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),inverse(multiply(E,multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),inverse(multiply(E,multiply(inverse(E),E)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),inverse(multiply(E,multiply(inverse(E),E)))))))))) = multiply(C,inverse(multiply(inverse(B),inverse(multiply(D,multiply(inverse(D),D)))))). [para(3(a,1),1(a,1,2,1,1,1)),flip(a)].
% 2.84/3.11 7 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(D,inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),inverse(multiply(E,multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),inverse(multiply(E,multiply(inverse(E),E)))))),inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),inverse(multiply(E,multiply(inverse(E),E))))))))))). [para(1(a,1),3(a,1,2,1,1,1)),flip(a)].
% 2.84/3.11 9 inverse(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),A)),inverse(multiply(D,multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),A)),inverse(multiply(D,multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),A)),inverse(multiply(D,multiply(inverse(D),D)))))))))) = multiply(E,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),C)),inverse(multiply(F,multiply(inverse(F),F))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),C)),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,F)),C)),inverse(multiply(F,multiply(inverse(F),F))))))))))). [para(3(a,1),3(a,1,2,1,1,1)),flip(a)].
% 2.84/3.11 14 inverse(multiply(A,multiply(inverse(A),A))) = multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(multiply(B,inverse(multiply(inverse(D),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(D,multiply(inverse(D),D)))))). [para(4(a,1),1(a,1,2,1,1)),flip(a)].
% 2.84/3.11 16 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),inverse(multiply(B,multiply(inverse(B),B))))))) = C. [para(4(a,1),1(a,1,2))].
% 2.84/3.11 42 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),C))),inverse(multiply(B,multiply(inverse(B),B))))) = C. [para(4(a,2),3(a,1)),rewrite([1(11)])].
% 2.84/3.11 94 multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(42(a,1),16(a,1,2,2)),flip(a)].
% 2.84/3.11 95 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(B,multiply(inverse(B),B))))) = C. [para(42(a,1),42(a,1,1,1,1,1,1,1)),rewrite([42(15)])].
% 2.84/3.11 141 multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),inverse(multiply(D,multiply(inverse(D),D)))))))),multiply(A,E)) = multiply(inverse(C),multiply(inverse(multiply(B,D)),E)). [para(16(a,1),94(a,1,1,1)),flip(a)].
% 2.84/3.11 144 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(94(a,1),94(a,1))].
% 2.84/3.11 171 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),D)),inverse(multiply(multiply(B,C),multiply(inverse(multiply(E,C)),multiply(E,C))))))) = D. [para(144(a,1),1(a,1,2,1,2,1,2))].
% 2.84/3.11 172 multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),inverse(multiply(C,multiply(inverse(C),C))))))),multiply(A,E)) = multiply(inverse(D),multiply(B,E)). [para(1(a,1),144(a,1,1,1)),flip(a)].
% 2.84/3.11 173 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),inverse(multiply(D,multiply(inverse(D),D))))))) = multiply(inverse(multiply(C,B)),E). [para(1(a,1),144(a,1,2)),flip(a)].
% 2.84/3.11 199 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(F,multiply(D,C))),multiply(F,E)). [para(144(a,1),144(a,1,1,1))].
% 2.84/3.11 200 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E))) = multiply(inverse(multiply(F,C)),multiply(F,multiply(A,E))). [para(144(a,1),144(a,1,2))].
% 2.84/3.11 225 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,C)) = multiply(D,multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,D))),C)). [para(95(a,1),144(a,1,1)),flip(a)].
% 2.84/3.11 227 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))),inverse(multiply(multiply(B,C),multiply(inverse(multiply(E,C)),multiply(E,C)))))) = D. [para(144(a,1),95(a,1,1,2,1,2))].
% 2.84/3.11 235 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(inverse(multiply(A,F)),C)),multiply(inverse(multiply(D,F)),E)). [para(1(a,1),199(a,1,1,1,2)),rewrite([141(23)])].
% 2.84/3.11 236 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D) = multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,C))),D). [para(1(a,1),199(a,1,2)),rewrite([173(23)])].
% 2.84/3.11 451 multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(inverse(A),multiply(inverse(multiply(E,C)),multiply(E,D))). [para(1(a,1),200(a,1,1,1)),rewrite([172(23)])].
% 2.84/3.11 506 multiply(inverse(multiply(A,B)),multiply(inverse(multiply(C,inverse(multiply(D,multiply(inverse(D),D))))),multiply(C,E))) = multiply(inverse(multiply(F,B)),multiply(F,multiply(inverse(multiply(inverse(multiply(V6,D)),multiply(V6,A))),E))). [para(95(a,1),200(a,1,1,1,1))].
% 2.84/3.11 514 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,D))) = multiply(inverse(multiply(E,multiply(F,C))),multiply(E,multiply(F,D))). [para(200(a,1),199(a,1))].
% 2.84/3.11 544 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D)),multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,C))),multiply(F,V6))) = multiply(inverse(multiply(inverse(multiply(F,V7)),D)),multiply(inverse(multiply(V8,V7)),multiply(V8,V6))). [para(236(a,1),200(a,2,1,1)),flip(a)].
% 2.84/3.11 598 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(A,multiply(inverse(multiply(E,C)),multiply(E,D))). [para(95(a,1),451(a,1,1)),rewrite([95(16)])].
% 2.84/3.11 710 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(D,E))))),multiply(inverse(multiply(inverse(multiply(C,multiply(D,F))),B)),V6)) = multiply(inverse(multiply(V7,multiply(inverse(multiply(V8,multiply(V9,F))),multiply(V8,multiply(V9,E))))),multiply(V7,V6)). [para(514(a,1),199(a,2,1,1,2))].
% 2.84/3.11 747 multiply(A,multiply(inverse(multiply(B,multiply(C,D))),multiply(B,multiply(C,E)))) = multiply(A,multiply(inverse(multiply(F,multiply(V6,D))),multiply(F,multiply(V6,E)))). [para(514(a,1),598(a,1,2))].
% 2.84/3.11 858 inverse(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),E)),inverse(multiply(D,multiply(inverse(D),D))))),F)),A)),inverse(multiply(F,multiply(inverse(F),F))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),E)),inverse(multiply(D,multiply(inverse(D),D))))),F)),A)),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(inverse(multiply(inverse(multiply(multiply(V6,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),C)),inverse(multiply(V7,multiply(inverse(V7),V7))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),C)),inverse(multiply(V7,multiply(inverse(V7),V7)))))),inverse(multiply(inverse(multiply(inverse(multiply(V6,V7)),C)),inverse(multiply(V7,multiply(inverse(V7),V7))))))))))),F)),A)),inverse(multiply(F,multiply(inverse(F),F)))))))))) = multiply(inverse(multiply(inverse(multiply(inverse(C),D)),E)),inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(D,multiply(inverse(D),D))),multiply(inverse(inverse(multiply(D,multiply(inverse(D),D)))),inverse(multiply(D,multiply(inverse(D),D))))))))). [para(7(a,1),6(a,1,1,2,1,2,2,1,1,1,1,1,1))].
% 2.84/3.11 938 inverse(multiply(A,multiply(inverse(A),A))) = multiply(inverse(multiply(B,A)),inverse(multiply(C,inverse(multiply(multiply(B,C),multiply(inverse(multiply(D,C)),multiply(D,C))))))). [para(95(a,1),171(a,1,2,1,1)),flip(a)].
% 2.84/3.11 1131 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),C)),multiply(D,multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,D))),F)))),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(A,F). [para(225(a,1),95(a,1,1,1,1,2))].
% 2.84/3.11 1136 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),D)) = multiply(E,multiply(inverse(multiply(inverse(multiply(F,C)),multiply(F,E))),D)). [para(95(a,1),225(a,1,1))].
% 2.84/3.11 1143 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),C))),multiply(inverse(multiply(D,inverse(multiply(V7,multiply(inverse(V7),V7))))),E)). [para(225(a,1),199(a,2,1,1))].
% 2.84/3.11 1163 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(inverse(multiply(C,inverse(multiply(D,multiply(inverse(D),D))))),multiply(C,E)))),F) = multiply(inverse(multiply(inverse(multiply(V6,B)),multiply(V6,multiply(inverse(multiply(inverse(multiply(V7,D)),multiply(V7,A))),E)))),F). [para(225(a,2),236(a,1,1,1,2))].
% 2.84/3.11 1199 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D)),E)),multiply(inverse(multiply(F,D)),multiply(F,V6))) = multiply(inverse(multiply(C,E)),multiply(inverse(multiply(V7,inverse(multiply(B,multiply(inverse(B),B))))),multiply(V7,V6))). [para(225(a,2),200(a,2,2))].
% 2.84/3.11 1203 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,multiply(inverse(multiply(C,B)),multiply(C,D)))) = multiply(E,multiply(inverse(multiply(F,multiply(V6,E))),multiply(F,multiply(V6,D)))). [para(200(a,1),225(a,2,2))].
% 2.84/3.11 1208 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,multiply(inverse(multiply(C,B)),multiply(D,E)))) = multiply(F,multiply(inverse(multiply(inverse(multiply(D,V6)),multiply(C,F))),multiply(inverse(multiply(V7,V6)),multiply(V7,E)))). [para(200(a,2),225(a,2,2))].
% 2.84/3.11 1212 multiply(A,multiply(inverse(multiply(B,C)),multiply(inverse(multiply(D,inverse(multiply(E,multiply(inverse(E),E))))),multiply(D,F)))) = multiply(A,multiply(inverse(multiply(V6,C)),multiply(V6,multiply(inverse(multiply(inverse(multiply(V7,E)),multiply(V7,B))),F)))). [para(225(a,2),598(a,1,2,2))].
% 2.84/3.11 1284 multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,A))),D)) = multiply(E,multiply(inverse(multiply(inverse(B),multiply(C,E))),D)). [para(1(a,1),1136(a,1,2,1,1,1,1)),rewrite([172(20)])].
% 2.84/3.11 1391 multiply(A,multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,B))),E))),multiply(inverse(multiply(F,inverse(multiply(D,multiply(inverse(D),D))))),A))),V6)) = multiply(V7,multiply(inverse(multiply(inverse(multiply(V8,multiply(F,E))),multiply(V8,V7))),V6)). [para(225(a,1),1136(a,1,2,1,1,1,1))].
% 2.84/3.11 1543 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(multiply(inverse(D),multiply(E,C))),F)))),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(inverse(multiply(inverse(D),multiply(E,A))),F). [para(1284(a,1),95(a,1,1,1,1,2))].
% 2.84/3.11 1544 multiply(A,multiply(inverse(multiply(B,multiply(C,A))),D)) = multiply(E,multiply(inverse(multiply(B,multiply(C,E))),D)). [para(95(a,1),1284(a,1,2,1,1,1)),rewrite([95(16)])].
% 2.84/3.11 1647 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,inverse(multiply(B,multiply(inverse(B),B)))))))),D) = multiply(C,D). [back_rewrite(1131),rewrite([1543(23)])].
% 2.84/3.11 1672 multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,D))) = multiply(E,multiply(inverse(multiply(F,multiply(C,E))),multiply(F,D))). [para(144(a,1),1544(a,1,2))].
% 2.84/3.11 1780 multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(D,multiply(inverse(D),D)))))))),multiply(A,E)) = multiply(C,multiply(inverse(multiply(B,D)),E)). [para(1647(a,1),144(a,1)),flip(a)].
% 2.84/3.11 1796 multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(D,multiply(inverse(D),D)))))))),E)),multiply(C,multiply(inverse(multiply(B,D)),F))) = multiply(inverse(multiply(V6,E)),multiply(V6,multiply(A,F))). [para(1647(a,1),200(a,1,2))].
% 2.84/3.11 1873 multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),multiply(E,A))),multiply(inverse(multiply(F,multiply(V6,D))),multiply(F,V7)))) = multiply(V8,multiply(inverse(multiply(V9,multiply(E,V8))),multiply(V9,multiply(inverse(multiply(V6,C)),V7)))). [para(199(a,1),1672(a,1,2,2))].
% 2.84/3.11 1905 multiply(inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,E))),multiply(C,F))))),multiply(A,multiply(B,V6))) = multiply(inverse(multiply(V7,multiply(V8,multiply(inverse(multiply(V9,multiply(D,V8))),multiply(V9,F))))),multiply(V7,multiply(E,V6))). [para(1672(a,1),514(a,1,1,1,2)),flip(a)].
% 2.84/3.11 2022 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),F)),multiply(inverse(multiply(V6,V7)),multiply(V6,C)))),inverse(multiply(F,multiply(inverse(F),F))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),F)),multiply(inverse(multiply(V6,V7)),multiply(V6,C)))),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),F)),multiply(inverse(multiply(V6,V7)),multiply(V6,C)))),inverse(multiply(F,multiply(inverse(F),F)))))))))) = multiply(V8,inverse(multiply(inverse(multiply(inverse(multiply(B,V7)),D)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V8,V9)),E)),inverse(multiply(V9,multiply(inverse(V9),V9))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(V8,V9)),E)),inverse(multiply(V9,multiply(inverse(V9),V9)))))),inverse(multiply(inverse(multiply(inverse(multiply(V8,V9)),E)),inverse(multiply(V9,multiply(inverse(V9),V9))))))))))). [para(199(a,1),9(a,1,1,1,1))].
% 2.84/3.11 2106 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))))) = multiply(inverse(C),inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(E,F)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,V6)),A)),inverse(multiply(V6,multiply(inverse(V6),V6))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,V6)),A)),inverse(multiply(V6,multiply(inverse(V6),V6)))))),inverse(multiply(inverse(multiply(inverse(multiply(D,V6)),A)),inverse(multiply(V6,multiply(inverse(V6),V6))))))))))),inverse(multiply(multiply(E,F),multiply(inverse(multiply(V7,F)),multiply(V7,F))))))). [para(9(a,1),171(a,1,2,1,1)),flip(a)].
% 2.84/3.11 2174 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(multiply(D,multiply(E,F))),multiply(D,V6))),inverse(multiply(multiply(E,F),multiply(inverse(multiply(V7,F)),multiply(V7,F))))))),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(A,inverse(multiply(V6,inverse(multiply(B,multiply(inverse(B),B)))))). [para(227(a,1),4(a,2,2,1,1))].
% 2.84/3.11 2306 inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(B,E))),inverse(multiply(multiply(C,D),multiply(inverse(multiply(F,D)),multiply(F,D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(V6),V7)),A)),inverse(multiply(V7,multiply(inverse(V7),V7))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(V6),V7)),A)),inverse(multiply(V7,multiply(inverse(V7),V7)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(V6),V7)),A)),inverse(multiply(V7,multiply(inverse(V7),V7)))))))))) = multiply(V8,inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(V8,V9)),V6)),inverse(multiply(V9,multiply(inverse(V9),V9))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(V8,V9)),V6)),inverse(multiply(V9,multiply(inverse(V9),V9)))))),inverse(multiply(inverse(multiply(inverse(multiply(V8,V9)),V6)),inverse(multiply(V9,multiply(inverse(V9),V9))))))))))). [para(227(a,1),9(a,2,2,1,1))].
% 2.84/3.11 2328 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),E)) = multiply(A,multiply(inverse(multiply(inverse(multiply(F,C)),multiply(F,D))),E)). [para(144(a,1),1780(a,2,2,1,1)),rewrite([1780(16)])].
% 2.84/3.11 2338 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,inverse(multiply(D,inverse(multiply(E,multiply(inverse(E),E)))))))),multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,C))),V7)) = multiply(D,multiply(inverse(multiply(inverse(multiply(B,V6)),E)),V7)). [para(199(a,1),1780(a,1,1,1))].
% 2.84/3.11 2354 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(multiply(D,multiply(E,inverse(multiply(F,inverse(multiply(V6,multiply(inverse(V6),V6)))))))),B)),multiply(F,multiply(inverse(multiply(E,V6)),V7)))) = multiply(inverse(multiply(V8,C)),multiply(V8,multiply(A,multiply(D,V7)))). [para(1780(a,1),200(a,1,2,2))].
% 2.84/3.11 2357 multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(D,multiply(inverse(D),D)))))))),E)),multiply(C,multiply(inverse(multiply(B,D)),F))) = multiply(inverse(multiply(inverse(multiply(A,V6)),E)),multiply(inverse(multiply(V7,V6)),multiply(V7,F))). [para(1780(a,1),200(a,2,2)),flip(a)].
% 2.84/3.11 2363 multiply(A,multiply(inverse(multiply(inverse(multiply(B,multiply(C,inverse(multiply(D,inverse(multiply(E,multiply(inverse(E),E)))))))),F)),multiply(D,multiply(inverse(multiply(C,E)),V6)))) = multiply(A,multiply(inverse(multiply(V7,F)),multiply(V7,multiply(B,V6)))). [para(1780(a,1),598(a,1,2,2))].
% 2.84/3.11 2993 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,D))),multiply(B,multiply(C,E))))),F)),multiply(inverse(multiply(V6,multiply(inverse(multiply(V7,multiply(V8,D))),multiply(V7,multiply(V8,E))))),multiply(V6,V9))) = multiply(inverse(multiply(V10,F)),multiply(V10,multiply(A,V9))). [para(747(a,1),200(a,1,1,1,1,1))].
% 2.84/3.11 2995 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,multiply(inverse(multiply(E,multiply(F,V6))),multiply(E,multiply(F,V7)))))) = multiply(inverse(multiply(V8,C)),multiply(V8,multiply(A,multiply(inverse(multiply(V9,multiply(V10,V6))),multiply(V9,multiply(V10,V7)))))). [para(747(a,1),200(a,1,2,2))].
% 2.84/3.11 3062 multiply(A,multiply(B,multiply(inverse(multiply(C,D)),multiply(C,E)))) = multiply(A,multiply(B,multiply(inverse(multiply(F,D)),multiply(F,E)))). [para(1647(a,1),747(a,1,2)),rewrite([1780(18)])].
% 2.84/3.11 3090 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,D))),multiply(B,multiply(C,E))))),F)),multiply(inverse(multiply(V6,multiply(inverse(multiply(V7,multiply(V8,D))),multiply(V7,multiply(V8,E))))),V9)) = multiply(inverse(multiply(inverse(multiply(A,V10)),F)),multiply(inverse(multiply(V6,V10)),V9)). [para(747(a,1),235(a,1,1,1,1,1))].
% 2.84/3.11 3183 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(D,inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))))),A)),inverse(multiply(multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))),multiply(inverse(multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7)))),multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7)))))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))))),A)),inverse(multiply(multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))),multiply(inverse(multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7)))),multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))))))))),inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))))),A)),inverse(multiply(multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7))),multiply(inverse(multiply(E,multiply(inverse(multiply(F,V6)),multiply(F,V7)))),multiply(E,multiply(inverse(multiply(V8,V6)),multiply(V8,V7)))))))))))))). [para(3062(a,1),7(a,2,2,1,2,1,2,2,1,2,1,2))].
% 2.84/3.11 3278 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))))) = multiply(inverse(C),inverse(multiply(D,inverse(multiply(multiply(A,D),multiply(inverse(multiply(E,D)),multiply(E,D))))))). [para(1(a,1),938(a,2,1,1))].
% 2.84/3.11 3310 inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),inverse(multiply(A,multiply(inverse(A),A))))) = multiply(B,inverse(multiply(inverse(inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(B,D)),C),multiply(inverse(multiply(E,C)),multiply(E,C))))))),inverse(multiply(D,multiply(inverse(D),D)))))). [para(938(a,2),4(a,1,1,1,1))].
% 2.84/3.11 3325 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(B,multiply(inverse(B),B)))) = C. [para(938(a,2),16(a,1,2))].
% 2.84/3.11 3333 multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),multiply(inverse(multiply(B,A)),C)) = multiply(inverse(multiply(D,inverse(multiply(E,inverse(multiply(multiply(B,E),multiply(inverse(multiply(F,E)),multiply(F,E)))))))),multiply(D,C)). [para(938(a,2),144(a,1,1,1))].
% 2.84/3.11 3334 multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))) = multiply(inverse(multiply(D,C)),multiply(D,inverse(multiply(E,inverse(multiply(multiply(A,E),multiply(inverse(multiply(F,E)),multiply(F,E)))))))). [para(938(a,2),144(a,1,2))].
% 2.84/3.11 3443 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(D,inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(E),E)))),A)),inverse(multiply(multiply(E,multiply(inverse(E),E)),multiply(inverse(multiply(E,multiply(inverse(E),E))),multiply(E,multiply(inverse(E),E))))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(E),E)))),A)),inverse(multiply(multiply(E,multiply(inverse(E),E)),multiply(inverse(multiply(E,multiply(inverse(E),E))),multiply(E,multiply(inverse(E),E)))))))),inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(E),E)))),A)),inverse(multiply(multiply(E,multiply(inverse(E),E)),multiply(multiply(inverse(multiply(F,E)),inverse(multiply(V6,inverse(multiply(multiply(F,V6),multiply(inverse(multiply(V7,V6)),multiply(V7,V6))))))),multiply(E,multiply(inverse(E),E))))))))))))). [para(938(a,1),7(a,2,2,1,2,1,2,2,1,2,1,2,1))].
% 2.84/3.11 3461 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),D)),inverse(multiply(multiply(B,C),multiply(inverse(multiply(E,C)),multiply(E,C)))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),D)),inverse(multiply(multiply(B,C),multiply(inverse(multiply(E,C)),multiply(E,C))))))),inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),D)),inverse(multiply(multiply(B,C),multiply(inverse(multiply(E,C)),multiply(E,C))))))))) = multiply(inverse(D),inverse(multiply(F,inverse(multiply(multiply(A,F),multiply(inverse(multiply(V6,F)),multiply(V6,F))))))). [para(171(a,1),938(a,2,1,1))].
% 2.84/3.11 3526 inverse(multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C)))))),multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C))))))),multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(inverse(C),C))))))))) = multiply(B,inverse(multiply(D,inverse(multiply(multiply(inverse(multiply(A,C)),D),multiply(inverse(multiply(E,D)),multiply(E,D))))))). [para(938(a,2),1647(a,1))].
% 2.84/3.11 3563 multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),multiply(inverse(inverse(multiply(A,C))),inverse(multiply(A,C))))),inverse(multiply(C,multiply(inverse(C),C))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),multiply(inverse(inverse(multiply(A,C))),inverse(multiply(A,C))))),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(multiply(inverse(multiply(D,inverse(multiply(A,C)))),inverse(multiply(E,inverse(multiply(multiply(D,E),multiply(inverse(multiply(F,E)),multiply(F,E))))))),inverse(multiply(C,multiply(inverse(C),C))))))))))) = multiply(inverse(inverse(multiply(A,C))),inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(A,C)),multiply(inverse(inverse(multiply(A,C))),inverse(multiply(A,C)))))))). [para(938(a,1),9(a,2,2,1,2,1,2,2,1,1)),rewrite([6(60)]),flip(a)].
% 2.84/3.11 3566 inverse(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),A)),inverse(multiply(D,multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),A)),inverse(multiply(D,multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),A)),inverse(multiply(D,multiply(inverse(D),D)))))))))) = multiply(E,inverse(multiply(inverse(B),multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(E,V6)),C)),inverse(multiply(V6,multiply(inverse(V6),V6))))))),inverse(multiply(V7,inverse(multiply(multiply(F,V7),multiply(inverse(multiply(V8,V7)),multiply(V8,V7)))))))))). [para(938(a,1),9(a,2,2,1,2))].
% 2.84/3.11 3610 inverse(multiply(multiply(inverse(multiply(A,B)),C),multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(A,B)),C)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),F)),multiply(inverse(multiply(A,E)),C))),inverse(multiply(V6,inverse(multiply(multiply(inverse(multiply(inverse(multiply(D,B)),F)),V6),multiply(inverse(multiply(V7,V6)),multiply(V7,V6))))))). [para(235(a,1),938(a,2,1,1))].
% 2.84/3.11 3666 multiply(inverse(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),E)),inverse(multiply(D,multiply(inverse(D),D))))))),inverse(multiply(B,multiply(inverse(B),B)))) = multiply(inverse(E),inverse(multiply(C,multiply(inverse(C),C)))). [para(4(a,2),3325(a,1,1,1,2))].
% 2.84/3.11 3715 multiply(inverse(A),A) = multiply(B,multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,B))),inverse(multiply(D,multiply(inverse(D),D))))). [para(3325(a,1),1136(a,1,2))].
% 2.84/3.11 3720 multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),inverse(D)))),inverse(multiply(multiply(B,inverse(multiply(A,inverse(multiply(C,multiply(inverse(C),C)))))),multiply(inverse(multiply(B,inverse(multiply(A,inverse(multiply(C,multiply(inverse(C),C))))))),multiply(B,inverse(multiply(A,inverse(multiply(C,multiply(inverse(C),C)))))))))) = D. [para(1647(a,1),3325(a,1,1,1))].
% 2.84/3.11 3740 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E))),multiply(inverse(multiply(inverse(multiply(A,F)),C)),inverse(V6)))),inverse(multiply(multiply(inverse(multiply(D,F)),E),multiply(inverse(multiply(inverse(multiply(D,F)),E)),multiply(inverse(multiply(D,F)),E))))) = V6. [para(235(a,1),3325(a,1,1,1,1,1))].
% 2.84/3.11 3789 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(A,inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,F)),B)),inverse(multiply(multiply(E,inverse(multiply(inverse(V6),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(V6,multiply(inverse(V6),V6))))))))). [para(14(a,1),4(a,2,2,1,2))].
% 2.84/3.11 3826 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),inverse(multiply(C,multiply(inverse(C),C)))) = multiply(inverse(multiply(E,D)),multiply(E,inverse(multiply(multiply(A,inverse(multiply(inverse(F),inverse(multiply(B,multiply(inverse(B),B)))))),inverse(multiply(F,multiply(inverse(F),F))))))). [para(14(a,2),144(a,1,2))].
% 2.84/3.11 3836 inverse(multiply(inverse(multiply(A,multiply(inverse(A),A))),multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),inverse(multiply(A,multiply(inverse(A),A)))))) = multiply(B,inverse(multiply(multiply(inverse(multiply(C,A)),inverse(multiply(inverse(D),inverse(multiply(multiply(C,B),multiply(inverse(multiply(C,B)),multiply(C,B))))))),inverse(multiply(D,multiply(inverse(D),D)))))). [para(95(a,1),14(a,2,1))].
% 2.84/3.11 3845 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(B,multiply(inverse(B),B)))) = multiply(inverse(multiply(D,multiply(inverse(multiply(E,F)),C))),multiply(D,inverse(multiply(multiply(E,inverse(multiply(inverse(V6),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(V6,multiply(inverse(V6),V6))))))). [para(14(a,2),199(a,1,2))].
% 2.84/3.11 3895 inverse(multiply(A,multiply(inverse(A),A))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(D,E)))),A)),inverse(multiply(multiply(inverse(multiply(inverse(multiply(D,F)),C)),inverse(multiply(inverse(V6),inverse(multiply(multiply(inverse(multiply(V7,F)),multiply(V7,E)),multiply(inverse(multiply(inverse(multiply(V7,F)),multiply(V7,E))),multiply(inverse(multiply(V7,F)),multiply(V7,E)))))))),inverse(multiply(V6,multiply(inverse(V6),V6)))))). [para(200(a,1),14(a,2,1,1,1,1))].
% 2.84/3.11 3946 inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(inverse(multiply(A,C)),inverse(multiply(inverse(inverse(multiply(multiply(D,E),multiply(inverse(multiply(D,E)),multiply(D,E))))),inverse(multiply(multiply(D,E),multiply(inverse(multiply(F,E)),multiply(F,E))))))). [para(14(a,2),171(a,1,2,1,1,1)),flip(a)].
% 2.84/3.11 3965 multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(B,multiply(inverse(B),B))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),E)),inverse(multiply(D,multiply(inverse(D),D))))),F)) = multiply(inverse(multiply(V6,inverse(multiply(E,multiply(inverse(E),E))))),multiply(V6,F)). [para(14(a,2),225(a,2,2,1,1,2)),flip(a)].
% 2.84/3.11 3976 multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(B,multiply(inverse(B),B))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),E)),inverse(multiply(D,multiply(inverse(D),D))))),F)) = multiply(V6,multiply(inverse(multiply(inverse(multiply(V7,E)),multiply(V7,V6))),F)). [para(14(a,2),1136(a,1,2,1,1,2))].
% 2.84/3.11 4014 multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),A))),multiply(B,D))) = multiply(C,multiply(multiply(inverse(multiply(inverse(multiply(E,F)),C)),inverse(multiply(multiply(E,inverse(multiply(inverse(V6),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(V6,multiply(inverse(V6),V6)))))),multiply(C,D))). [para(14(a,1),1672(a,1,2,1)),flip(a)].
% 2.84/3.11 4036 multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),multiply(inverse(inverse(multiply(A,C))),inverse(multiply(A,C))))),inverse(multiply(C,multiply(inverse(C),C))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),multiply(inverse(inverse(multiply(A,C))),inverse(multiply(A,C))))),inverse(multiply(C,multiply(inverse(C),C)))))),inverse(multiply(multiply(inverse(multiply(inverse(multiply(D,E)),inverse(multiply(A,C)))),inverse(multiply(multiply(D,inverse(multiply(inverse(F),inverse(multiply(E,multiply(inverse(E),E)))))),inverse(multiply(F,multiply(inverse(F),F)))))),inverse(multiply(C,multiply(inverse(C),C))))))))))) = multiply(inverse(inverse(multiply(A,C))),inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(A,C)),multiply(inverse(inverse(multiply(A,C))),inverse(multiply(A,C)))))))). [para(14(a,1),9(a,2,2,1,2,1,2,2,1,1)),rewrite([6(60)]),flip(a)].
% 2.84/3.11 4134 inverse(multiply(A,multiply(inverse(A),A))) = multiply(inverse(multiply(inverse(multiply(B,C)),A)),inverse(multiply(multiply(B,inverse(multiply(inverse(D),inverse(multiply(C,multiply(inverse(C),C)))))),multiply(inverse(multiply(E,D)),inverse(multiply(F,inverse(multiply(multiply(E,F),multiply(inverse(multiply(V6,F)),multiply(V6,F)))))))))). [para(938(a,1),14(a,2,2,1,2))].
% 2.84/3.11 4177 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),inverse(multiply(C,multiply(inverse(C),C)))))),D)),E)),inverse(multiply(D,multiply(inverse(D),D))))) = multiply(inverse(F),inverse(multiply(inverse(E),inverse(multiply(F,multiply(inverse(F),F)))))). [para(3715(a,1),4(a,1,1,1,1,1,1,1,1))].
% 2.84/3.11 4182 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B))))),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(A,inverse(multiply(D,multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,D))),inverse(multiply(F,multiply(inverse(F),F))))))). [para(3715(a,1),4(a,2,2,1))].
% 2.84/3.11 4185 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),inverse(multiply(multiply(C,D),multiply(inverse(multiply(C,D)),multiply(C,D)))))) = multiply(C,inverse(multiply(inverse(B),inverse(multiply(D,multiply(inverse(D),D)))))). [para(3715(a,2),4(a,1,1,1,1,1,1)),rewrite([3325(17),3325(18),3325(20)])].
% 2.84/3.11 4186 inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(B,multiply(inverse(B),B))))) = B. [para(3715(a,2),4(a,1,1,1,1)),rewrite([3325(23),1(20)])].
% 2.84/3.11 4195 inverse(multiply(A,multiply(inverse(A),A))) = multiply(inverse(multiply(B,A)),multiply(B,inverse(multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,C))),inverse(multiply(E,multiply(inverse(E),E)))))))). [para(3715(a,1),16(a,1,2,2,1)),flip(a)].
% 2.84/3.11 4196 multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),B)))))),B)),multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,C))),inverse(multiply(E,multiply(inverse(E),E)))))) = A. [para(3715(a,1),16(a,1,2))].
% 2.84/3.11 4204 multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),inverse(multiply(C,multiply(inverse(C),C)))))),multiply(inverse(D),E)) = multiply(inverse(multiply(F,D)),multiply(F,E)). [para(3715(a,1),144(a,1,1,1))].
% 2.84/3.11 4205 multiply(inverse(multiply(inverse(A),B)),multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,C))),inverse(multiply(E,multiply(inverse(E),E)))))) = multiply(inverse(multiply(F,B)),multiply(F,A)). [para(3715(a,1),144(a,1,2))].
% 2.84/3.11 4224 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(inverse(E),multiply(D,C))),multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),inverse(multiply(V7,multiply(inverse(V7),V7)))))). [para(3715(a,1),199(a,2,2))].
% 2.84/3.11 4225 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),multiply(D,C))) = multiply(E,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,E))),inverse(multiply(V6,multiply(inverse(V6),V6))))). [para(3715(a,1),199(a,2))].
% 2.84/3.11 4238 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),inverse(multiply(C,multiply(inverse(C),C)))))),multiply(inverse(D),E))),F) = multiply(inverse(multiply(inverse(multiply(V6,D)),multiply(V6,E))),F). [para(3715(a,1),236(a,1,1,1,1,1))].
% 2.84/3.11 4239 multiply(inverse(multiply(inverse(multiply(inverse(A),B)),multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,C))),inverse(multiply(E,multiply(inverse(E),E))))))),F) = multiply(inverse(multiply(inverse(multiply(V6,B)),multiply(V6,A))),F). [para(3715(a,1),236(a,1,1,1,2))].
% 2.84/3.11 4240 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),C) = multiply(inverse(multiply(D,multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,D))),inverse(multiply(F,multiply(inverse(F),F)))))),C). [para(3715(a,1),236(a,1,1,1)),flip(a)].
% 2.84/3.11 4245 multiply(inverse(A),A) = multiply(B,multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,E)),multiply(D,F))))),multiply(C,B))),inverse(multiply(inverse(multiply(inverse(multiply(V6,E)),multiply(V6,F))),multiply(inverse(inverse(multiply(inverse(multiply(D,E)),multiply(D,F)))),inverse(multiply(inverse(multiply(D,E)),multiply(D,F)))))))). [para(236(a,1),3715(a,2,2,2,1))].
% 2.84/3.11 4265 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E))) = multiply(inverse(multiply(inverse(multiply(A,E)),C)),multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),inverse(multiply(V7,multiply(inverse(V7),V7)))))). [para(3715(a,1),200(a,2,2))].
% 2.84/3.11 4272 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D)),E)),multiply(inverse(multiply(F,D)),multiply(F,inverse(multiply(B,multiply(inverse(B),B)))))) = multiply(inverse(multiply(C,E)),multiply(inverse(V6),V6)). [para(3715(a,2),200(a,2,2))].
% 2.84/3.11 4279 multiply(A,multiply(inverse(multiply(inverse(B),C)),multiply(D,multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,D))),inverse(multiply(F,multiply(inverse(F),F))))))) = multiply(A,multiply(inverse(multiply(V6,C)),multiply(V6,B))). [para(3715(a,1),598(a,1,2,2))].
% 2.84/3.11 4303 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,multiply(inverse(B),B))))) = multiply(D,inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),inverse(multiply(E,multiply(inverse(E),E))))),multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),inverse(multiply(V7,multiply(inverse(V7),V7)))))))))). [para(3715(a,1),7(a,2,2,1,2,1,2))].
% 2.84/3.11 4305 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(D,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),C)),inverse(multiply(E,multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),C)),inverse(multiply(E,multiply(inverse(E),E)))))),inverse(multiply(inverse(multiply(inverse(multiply(D,E)),C)),inverse(multiply(E,multiply(inverse(E),E))))))))))). [para(3715(a,2),7(a,1,1,1,1,1,1)),rewrite([3325(16),3325(16),3325(17)])].
% 2.84/3.11 4340 multiply(inverse(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),B))))),multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,C))),inverse(multiply(E,multiply(inverse(E),E)))))) = multiply(F,multiply(inverse(multiply(inverse(multiply(V6,B)),multiply(V6,F))),A)). [para(3715(a,1),225(a,1,2))].
% 2.84/3.11 4344 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,multiply(inverse(multiply(C,B)),multiply(C,D)))) = multiply(D,multiply(E,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,E))),inverse(multiply(V6,multiply(inverse(V6),V6)))))). [para(3715(a,1),225(a,2,2))].
% 2.84/3.11 4348 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(B),B))))),multiply(A,multiply(inverse(multiply(C,B)),multiply(C,D)))) = multiply(D,multiply(inverse(E),E)). [para(3715(a,2),225(a,2,2)),rewrite([3325(21)])].
% 2.84/3.11 4356 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),D)) = multiply(C,multiply(inverse(multiply(E,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,E))),inverse(multiply(V6,multiply(inverse(V6),V6)))))),D)). [para(3715(a,1),1136(a,1,2,1,1)),flip(a)].
% 2.84/3.11 4374 multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),A))),D)) = multiply(C,multiply(inverse(multiply(B,multiply(E,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,E))),inverse(multiply(V6,multiply(inverse(V6),V6))))))),D)). [para(3715(a,1),1544(a,1,2,1,1,2)),flip(a)].
% 2.84/3.12 4385 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),inverse(multiply(C,multiply(inverse(C),C))))) = multiply(D,multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(D,inverse(multiply(F,multiply(inverse(F),F)))))))). [para(3715(a,1),1647(a,1))].
% 2.84/3.12 4387 multiply(inverse(A),A) = multiply(B,multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(B,inverse(multiply(D,multiply(inverse(D),D)))))))). [para(3715(a,2),1647(a,1)),rewrite([3325(23)])].
% 2.84/3.12 4432 multiply(inverse(A),A) = multiply(B,multiply(inverse(multiply(C,multiply(inverse(multiply(inverse(multiply(D,multiply(E,F))),multiply(D,C))),B))),inverse(multiply(inverse(multiply(multiply(E,F),multiply(inverse(multiply(V6,F)),multiply(V6,F)))),multiply(inverse(inverse(multiply(multiply(E,F),multiply(inverse(multiply(V6,F)),multiply(V6,F))))),inverse(multiply(multiply(E,F),multiply(inverse(multiply(V6,F)),multiply(V6,F))))))))). [para(227(a,1),3715(a,2,2,1,1,1))].
% 2.84/3.12 4445 multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(B),C)),multiply(D,multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,D))),inverse(multiply(F,multiply(inverse(F),F))))))),V6)) = multiply(A,multiply(inverse(multiply(inverse(multiply(V7,C)),multiply(V7,B))),V6)). [para(3715(a,1),2328(a,1,2,1,1,2))].
% 2.84/3.12 4446 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),multiply(inverse(multiply(E,C)),multiply(E,D)))) = multiply(A,multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),inverse(multiply(V7,multiply(inverse(V7),V7)))))). [para(3715(a,1),2328(a,1,2)),flip(a)].
% 2.84/3.12 4455 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(D),B)),E)) = multiply(inverse(multiply(inverse(multiply(A,D)),C)),multiply(inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),inverse(multiply(V7,multiply(inverse(V7),V7)))))),E)). [para(3715(a,1),235(a,1,2,1,1)),flip(a)].
% 2.84/3.12 4456 multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(inverse(multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,F))),inverse(multiply(E,multiply(inverse(E),E)))))),V6)) = multiply(inverse(multiply(inverse(multiply(F,V7)),B)),multiply(inverse(multiply(C,V7)),V6)). [para(3715(a,2),235(a,1,1,1,1,1))].
% 2.84/3.12 4459 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E))) = multiply(inverse(multiply(inverse(multiply(A,E)),C)),multiply(inverse(F),F)). [para(3715(a,2),235(a,1,2)),rewrite([3325(25)]),flip(a)].
% 2.84/3.12 4490 multiply(A,multiply(B,multiply(inverse(multiply(inverse(C),D)),multiply(E,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,E))),inverse(multiply(V6,multiply(inverse(V6),V6)))))))) = multiply(A,multiply(B,multiply(inverse(multiply(V7,D)),multiply(V7,C)))). [para(3715(a,1),3062(a,1,2,2,2))].
% 2.84/3.12 4491 multiply(A,multiply(B,multiply(inverse(multiply(C,D)),multiply(C,D)))) = multiply(A,multiply(B,multiply(E,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,E))),inverse(multiply(V6,multiply(inverse(V6),V6))))))). [para(3715(a,1),3062(a,1,2,2)),flip(a)].
% 2.84/3.12 4520 multiply(inverse(A),A) = multiply(inverse(B),B). [para(3325(a,1),3715(a,2,2))].
% 2.84/3.12 4550 multiply(inverse(A),A) = c_0. [new_symbol(4520)].
% 2.84/3.12 4620 multiply(A,multiply(B,multiply(C,multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,C))),inverse(multiply(E,c_0)))))) = multiply(A,multiply(B,c_0)). [back_rewrite(4491),rewrite([4550(4),4550(10)]),flip(a)].
% 2.84/3.12 4621 multiply(A,multiply(B,multiply(inverse(multiply(C,D)),multiply(C,E)))) = multiply(A,multiply(B,multiply(inverse(multiply(inverse(E),D)),c_0))). [back_rewrite(4490),rewrite([4550(10),4620(15)]),flip(a)].
% 2.84/3.12 4652 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E))) = multiply(inverse(multiply(inverse(multiply(A,E)),C)),c_0). [back_rewrite(4459),rewrite([4550(15)])].
% 2.84/3.12 4655 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(inverse(c_0),C)),multiply(inverse(multiply(D,multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,A))),inverse(multiply(V6,c_0))))),E)). [back_rewrite(4456),rewrite([4550(2),4550(11)]),flip(a)].
% 2.84/3.12 4656 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(D),B)),E)) = multiply(inverse(multiply(inverse(multiply(A,D)),C)),multiply(inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,F))),inverse(multiply(V7,c_0))))),E)). [back_rewrite(4455),rewrite([4550(20)])].
% 2.84/3.12 4664 multiply(A,multiply(B,multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,B))),inverse(multiply(D,c_0))))) = multiply(A,c_0). [back_rewrite(4446),rewrite([4652(10),4550(4),4550(4),4550(9)]),flip(a)].
% 2.84/3.12 4665 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),E)) = multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(D),C)),c_0)),E)). [back_rewrite(4445),rewrite([4550(10),4664(14)]),flip(a)].
% 2.84/3.12 4677 multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(C,D))),c_0)),A))),inverse(multiply(inverse(multiply(multiply(C,D),c_0)),c_0)))) = c_0. [back_rewrite(4432),rewrite([4550(2),4665(9),4550(16),4550(20),4550(25),4550(25)]),flip(a)].
% 2.84/3.12 4717 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(A,inverse(multiply(C,c_0))))))) = c_0. [back_rewrite(4387),rewrite([4550(2),4550(5)]),flip(a)].
% 2.84/3.12 4719 multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(A),B)),c_0)),inverse(multiply(B,c_0)))) = c_0. [back_rewrite(4385),rewrite([4550(7),4665(10),4550(15),4717(21)])].
% 2.84/3.12 4729 multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),A))),D)) = multiply(C,multiply(inverse(multiply(B,c_0)),D)). [back_rewrite(4374),rewrite([4550(13),4665(16),4719(17)])].
% 2.84/3.12 4740 multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(A),B)),c_0)),C)) = multiply(B,multiply(inverse(c_0),C)). [back_rewrite(4356),rewrite([4665(7),4550(15),4665(18),4719(19)])].
% 2.84/3.12 4747 multiply(inverse(multiply(A,inverse(multiply(B,c_0)))),multiply(A,multiply(inverse(multiply(inverse(C),B)),c_0))) = multiply(C,c_0). [back_rewrite(4348),rewrite([4550(2),4621(11),4550(14)])].
% 2.84/3.12 4751 multiply(A,multiply(B,multiply(inverse(c_0),inverse(multiply(B,c_0))))) = multiply(A,c_0). [back_rewrite(4344),rewrite([4550(2),4621(11),4747(12),4550(9),4665(12),4740(13)]),flip(a)].
% 2.84/3.12 4754 multiply(inverse(multiply(inverse(A),inverse(multiply(B,c_0)))),c_0) = multiply(B,multiply(inverse(c_0),A)). [back_rewrite(4340),rewrite([4550(3),4550(13),4665(16),4740(17),4751(14),4665(15),4740(16)])].
% 2.84/3.12 4783 multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(c_0),multiply(inverse(multiply(A,C)),D))))))) = inverse(multiply(inverse(multiply(inverse(c_0),B)),inverse(multiply(D,c_0)))). [back_rewrite(4305),rewrite([4550(2),4550(6),4550(16),4550(25),4550(35),4550(39),4754(21)]),flip(a)].
% 2.84/3.12 4785 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(B,c_0)))) = inverse(multiply(inverse(multiply(inverse(c_0),C)),inverse(multiply(A,c_0)))). [back_rewrite(4303),rewrite([4550(7),4550(17),4550(27),4665(30),4740(31),4751(28),4754(22),4783(22)])].
% 2.84/3.12 4804 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(A,multiply(inverse(multiply(inverse(D),C)),c_0)). [back_rewrite(4279),rewrite([4550(10),4665(13),4740(14),4751(11)]),flip(a)].
% 2.84/3.12 4810 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D)),E)),multiply(inverse(multiply(inverse(inverse(multiply(B,c_0))),D)),c_0)) = multiply(inverse(multiply(C,E)),c_0). [back_rewrite(4272),rewrite([4550(13),4804(17),4550(22)])].
% 2.84/3.12 4817 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(D),B)),c_0)) = multiply(inverse(multiply(inverse(multiply(A,D)),C)),c_0). [back_rewrite(4265),rewrite([4804(9),4550(21),4665(24),4740(25),4751(22)])].
% 2.84/3.12 4832 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(c_0),inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,C))),c_0)))) = c_0. [back_rewrite(4245),rewrite([4550(2),4550(28),4665(21),4740(22)]),flip(a)].
% 2.84/3.12 4836 multiply(inverse(multiply(A,multiply(inverse(c_0),inverse(multiply(A,c_0))))),B) = multiply(inverse(c_0),B). [back_rewrite(4240),rewrite([4550(4),4550(10),4665(13),4740(14)]),flip(a)].
% 2.84/3.12 4837 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D) = multiply(inverse(multiply(inverse(multiply(inverse(C),B)),c_0)),D). [back_rewrite(4239),rewrite([4550(10),4665(13),4740(14),4751(11)]),flip(a)].
% 2.84/3.12 4838 multiply(inverse(multiply(inverse(multiply(inverse(A),B)),c_0)),C) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),A))),C). [back_rewrite(4238),rewrite([4550(7),4837(9),4740(11),4836(11),4837(13)]),flip(a)].
% 2.84/3.12 4849 multiply(A,multiply(inverse(c_0),inverse(multiply(A,c_0)))) = c_0. [back_rewrite(4225),rewrite([4804(10),4817(11),4550(4),4550(4),4550(8),4837(10),4838(11),4729(12),4550(5)]),flip(a)].
% 2.84/3.12 4850 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),multiply(inverse(multiply(C,A)),D)) = multiply(inverse(multiply(inverse(D),multiply(C,B))),c_0). [back_rewrite(4224),rewrite([4837(9),4838(10),4550(21),4837(23),4838(24),4729(25),4550(18),4849(21)])].
% 2.84/3.12 4858 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(C),B)),c_0). [back_rewrite(4205),rewrite([4550(10),4837(12),4838(13),4729(14),4550(7),4849(10)]),flip(a)].
% 2.84/3.12 4859 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(inverse(c_0),multiply(inverse(B),A)). [back_rewrite(4204),rewrite([4858(4),4550(8),4838(10),4729(11),4550(4),4849(7),4858(9)]),flip(a)].
% 2.84/3.12 4863 multiply(inverse(c_0),multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(A,c_0)))))) = B. [back_rewrite(4196),rewrite([4550(3),4858(13),4859(14),4550(17),4729(20),4550(13),4849(16),4859(11)])].
% 2.84/3.12 4864 multiply(inverse(c_0),multiply(inverse(A),inverse(c_0))) = inverse(multiply(A,c_0)). [back_rewrite(4195),rewrite([4550(2),4858(9),4859(10),4550(13),4729(16),4550(9),4849(12),4858(9),4859(10)]),flip(a)].
% 2.84/3.12 4870 inverse(multiply(inverse(c_0),inverse(multiply(A,c_0)))) = A. [back_rewrite(4186),rewrite([4550(2),4550(4)])].
% 2.84/3.12 4871 inverse(multiply(inverse(multiply(inverse(c_0),A)),inverse(multiply(multiply(B,C),c_0)))) = multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,c_0))))). [back_rewrite(4185),rewrite([4550(2),4550(9),4550(13)])].
% 2.84/3.12 4873 inverse(multiply(A,inverse(multiply(multiply(B,A),c_0)))) = multiply(B,inverse(c_0)). [back_rewrite(4182),rewrite([4550(6),4550(11),4785(14),4870(7),4858(10),4859(11),4550(14),4729(17),4550(10),4849(13)])].
% 2.84/3.12 4874 inverse(multiply(inverse(multiply(inverse(c_0),A)),inverse(multiply(c_0,c_0)))) = multiply(inverse(B),inverse(multiply(inverse(A),inverse(multiply(B,c_0))))). [back_rewrite(4177),rewrite([4858(4),4859(5),4550(8),4729(11),4550(4),4849(7),4550(8),4785(11),4550(14)])].
% 2.84/3.12 4905 multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(multiply(A,inverse(multiply(inverse(D),inverse(multiply(B,c_0))))),inverse(multiply(D,c_0))))) = inverse(multiply(C,c_0)). [back_rewrite(4134),rewrite([4550(2),4550(10),4550(21),4873(22),4858(20),4859(21),4864(21)]),flip(a)].
% 2.84/3.12 4942 multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(C,c_0))),multiply(inverse(multiply(A,C)),c_0))))))) = multiply(inverse(inverse(multiply(A,C))),inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(A,C)),c_0))))). [back_rewrite(4036),rewrite([4550(9),4550(8),4550(19),4550(18),4550(31),4550(37),4905(41),4550(29),4550(33),4859(13),4550(29)])].
% 2.84/3.12 4947 multiply(A,multiply(inverse(c_0),multiply(inverse(multiply(inverse(B),A)),C))) = multiply(B,multiply(inverse(c_0),multiply(inverse(c_0),C))). [back_rewrite(4014),rewrite([4858(6),4859(7),4550(15),4550(21),4905(25),4858(13),4859(14)])].
% 2.84/3.12 4963 multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,c_0))))),inverse(multiply(B,c_0)))),multiply(multiply(A,inverse(multiply(inverse(D),inverse(multiply(C,c_0))))),E)) = multiply(D,multiply(inverse(c_0),E)). [back_rewrite(3976),rewrite([4550(3),4550(9),4550(20),4785(23),4871(22),4858(25),4859(26),4729(29),4550(25)])].
% 2.84/3.12 4968 multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,c_0))),B)) = multiply(A,multiply(inverse(c_0),B)). [back_rewrite(3965),rewrite([4550(3),4550(9),4550(20),4785(23),4871(22),4963(21),4550(6),4858(11),4859(12)]),flip(a)].
% 2.84/3.12 4975 inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,c_0))))),inverse(multiply(B,c_0)))) = multiply(inverse(multiply(A,C)),inverse(c_0)). [back_rewrite(3946),rewrite([4550(3),4550(9),4550(19),4550(24),4550(24)])].
% 2.84/3.12 4987 multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),multiply(B,C)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,E)),A)),multiply(inverse(c_0),multiply(inverse(E),C)))),inverse(c_0))) = inverse(multiply(D,c_0)). [back_rewrite(3895),rewrite([4550(2),4858(8),4859(9),4858(21),4859(22),4858(26),4859(27),4858(32),4859(33),4550(34),4550(30),4975(33)]),flip(a)].
% 2.84/3.12 5006 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(multiply(A,c_0))) = multiply(inverse(c_0),inverse(multiply(B,c_0))). [back_rewrite(3845),rewrite([4858(4),4859(5),4550(8),4550(18),4550(24),4975(27),4858(22),4858(20),4859(17),4859(20),4859(19),4864(19)])].
% 2.84/3.12 5010 inverse(multiply(inverse(multiply(A,c_0)),c_0)) = multiply(A,multiply(inverse(c_0),inverse(c_0))). [back_rewrite(3836),rewrite([4550(2),4550(5),4550(9),4550(11),4550(14),4550(18),4975(21),4858(10),4859(11),4729(16),4550(10)])].
% 2.84/3.12 5012 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),inverse(multiply(C,c_0))) = multiply(inverse(c_0),multiply(inverse(D),multiply(inverse(multiply(A,B)),inverse(c_0)))). [back_rewrite(3826),rewrite([4550(8),4550(15),4550(21),4975(24),4858(19),4859(20)])].
% 2.84/3.12 5026 inverse(multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(multiply(B,C)),inverse(c_0))))) = multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,c_0))))). [back_rewrite(3789),rewrite([4550(8),5012(10),4550(19),4550(25),4975(28),4858(22),4859(19),4864(19)])].
% 2.84/3.12 5033 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E))),multiply(inverse(multiply(inverse(multiply(A,F)),C)),inverse(V6)))),inverse(multiply(multiply(inverse(multiply(D,F)),E),c_0))) = V6. [back_rewrite(3740),rewrite([4550(28)])].
% 2.84/3.12 5044 multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),inverse(D)))),inverse(multiply(multiply(B,inverse(multiply(A,inverse(multiply(C,c_0))))),c_0))) = D. [back_rewrite(3720),rewrite([4550(8),4550(14),4550(21),4550(26)])].
% 2.84/3.12 5067 multiply(inverse(c_0),inverse(multiply(A,multiply(inverse(c_0),B)))) = multiply(inverse(B),inverse(multiply(A,c_0))). [back_rewrite(3666),rewrite([4550(10),5012(12),5026(13),4858(10),4859(11),4550(14),5006(16),4859(10),4968(10),4550(11)])].
% 2.84/3.12 5081 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E))),multiply(inverse(multiply(inverse(multiply(A,F)),C)),inverse(c_0))) = inverse(multiply(multiply(inverse(multiply(D,F)),E),c_0)). [back_rewrite(3610),rewrite([4550(11),4550(24),4873(25)]),flip(a)].
% 2.84/3.12 5094 inverse(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,multiply(inverse(c_0),multiply(inverse(c_0),A)))))) = inverse(multiply(inverse(multiply(inverse(c_0),B)),inverse(multiply(C,c_0)))). [back_rewrite(3566),rewrite([4550(10),4785(13),4550(19),4785(22),4550(29),4785(32),4550(32),4859(14),4968(14),4550(20),4550(30),4873(31),4858(29),4859(30),4864(30),4859(25),4968(25),4783(25)])].
% 2.84/3.12 5095 multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(A,B)),c_0))))) = inverse(multiply(inverse(multiply(inverse(c_0),C)),inverse(multiply(c_0,c_0)))). [back_rewrite(3563),rewrite([4550(9),4550(8),4550(19),4550(18),4550(31),4873(32),4858(30),4859(31),4864(31),4550(29),4550(33),4859(13),4968(13),4783(13),4550(22)]),flip(a)].
% 2.84/3.12 5103 inverse(multiply(multiply(A,inverse(multiply(B,inverse(multiply(C,c_0))))),c_0)) = multiply(B,multiply(inverse(multiply(A,C)),inverse(c_0))). [back_rewrite(3526),rewrite([4550(2),4550(8),4550(15),4550(20),4550(16),4873(17)])].
% 2.84/3.12 5119 inverse(multiply(multiply(A,B),multiply(inverse(c_0),multiply(inverse(multiply(C,multiply(A,B))),D)))) = multiply(inverse(D),multiply(C,inverse(c_0))). [back_rewrite(3461),rewrite([4550(10),4550(21),4550(33),4550(35),4859(13),4968(13),4550(16),4873(17)])].
% 2.84/3.12 5123 multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(A,inverse(c_0)))))) = inverse(multiply(inverse(multiply(inverse(c_0),B)),inverse(multiply(C,c_0)))). [back_rewrite(3443),rewrite([4550(7),4785(10),4550(12),4550(18),4550(20),4550(23),4550(24),4550(25),4550(31),4550(33),4550(36),4550(37),4550(39),4550(45),4550(52),4873(53),4858(51),4859(52),4864(52),4550(50),4550(51),4550(51),4859(25),4968(25),5119(22)]),flip(a)].
% 2.84/3.12 5146 multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,c_0))) = multiply(inverse(c_0),multiply(inverse(C),multiply(A,inverse(c_0)))). [back_rewrite(3334),rewrite([4550(6),4550(15),4873(16),4858(15),4859(16)])].
% 2.84/3.12 5147 multiply(inverse(inverse(multiply(A,c_0))),multiply(inverse(multiply(B,A)),C)) = multiply(inverse(c_0),multiply(inverse(multiply(B,inverse(c_0))),C)). [back_rewrite(3333),rewrite([4550(2),4550(13),4873(14),4858(15),4859(16)])].
% 2.84/3.12 5150 inverse(multiply(inverse(c_0),inverse(c_0))) = inverse(c_0). [back_rewrite(3310),rewrite([4550(2),4550(6),4550(8),4550(9),4873(10),4550(10),5146(12),5123(14),4550(6),4550(8)]),flip(a)].
% 2.84/3.12 5155 inverse(multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(multiply(A,inverse(c_0))),B)))) = multiply(inverse(B),multiply(A,inverse(c_0))). [back_rewrite(3278),rewrite([4550(6),5146(8),4550(15),5146(17),4550(25),5146(27),4550(29),4859(11),4859(10),4550(18),4873(19)])].
% 2.84/3.12 5170 inverse(multiply(inverse(multiply(inverse(c_0),A)),inverse(multiply(B,c_0)))) = inverse(multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(B),inverse(c_0))))). [back_rewrite(3183),rewrite([4550(7),5146(9),4858(15),4859(16),4858(25),4859(26),4858(31),4859(32),4858(38),4859(39),4550(41),5146(31),4858(24),4859(25),4858(34),4859(35),4858(40),4859(41),4858(47),4859(48),4550(50),5146(40),4858(34),4859(35),4858(44),4859(45),4858(50),4859(51),4858(57),4859(58),4550(60),5146(50),4550(40),4859(22),4859(21),5155(23),5123(19)]),flip(a)].
% 2.84/3.12 5357 multiply(A,multiply(inverse(multiply(inverse(multiply(B,multiply(C,inverse(multiply(D,inverse(multiply(E,c_0))))))),F)),multiply(D,multiply(inverse(multiply(C,E)),V6)))) = multiply(A,multiply(inverse(c_0),multiply(inverse(F),multiply(B,V6)))). [back_rewrite(2363),rewrite([4550(2),4858(21),4859(22)])].
% 2.84/3.12 5360 multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(D,c_0))))))),E)),multiply(C,multiply(inverse(multiply(B,D)),F))) = multiply(inverse(multiply(inverse(multiply(A,V6)),E)),multiply(inverse(c_0),multiply(inverse(V6),F))). [back_rewrite(2357),rewrite([4550(2),4858(23),4859(24)])].
% 2.84/3.12 5363 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(c_0),multiply(inverse(B),multiply(D,E)))) = multiply(inverse(c_0),multiply(inverse(C),multiply(A,multiply(D,E)))). [back_rewrite(2354),rewrite([4550(6),5357(20),4858(17),4859(18)])].
% 2.84/3.12 5372 multiply(inverse(multiply(inverse(c_0),multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(multiply(D,c_0))))))),multiply(inverse(multiply(inverse(c_0),multiply(inverse(E),B))),F)) = multiply(C,multiply(inverse(multiply(inverse(multiply(A,E)),D)),F)). [back_rewrite(2338),rewrite([4550(5),4858(10),4859(11),4858(16),4859(17)])].
% 2.84/3.12 5382 multiply(A,inverse(multiply(B,multiply(inverse(C),multiply(A,inverse(c_0)))))) = inverse(multiply(inverse(c_0),multiply(B,multiply(inverse(C),inverse(c_0))))). [back_rewrite(2306),rewrite([4858(6),4859(7),4550(13),5006(13),4550(16),5146(18),4550(26),5146(28),4550(37),5146(39),4550(41),4859(21),4859(20),4947(21),5094(19),5170(15),4870(9),4550(15),5146(17),4550(24),5146(26),4550(34),5146(36),4550(38),4859(20),4859(19),5155(21)]),flip(a)].
% 2.84/3.12 5415 inverse(multiply(inverse(c_0),multiply(A,multiply(inverse(multiply(B,C)),inverse(c_0))))) = multiply(B,inverse(multiply(A,inverse(multiply(C,c_0))))). [back_rewrite(2174),rewrite([4858(9),4859(10),4550(16),5006(16),4550(14),5146(16),4870(9),4550(12)])].
% 2.84/3.12 5446 inverse(multiply(A,multiply(inverse(c_0),multiply(inverse(c_0),B)))) = multiply(inverse(B),multiply(inverse(A),inverse(c_0))). [back_rewrite(2106),rewrite([4550(7),5146(9),4550(17),5146(19),4550(28),5146(30),4550(32),4859(12),4859(11),4947(12),4550(17),5146(19),4550(26),5146(28),4550(36),5146(38),4550(40),4859(22),4859(21),5155(23),5382(19),4550(25),5006(25),4873(20)])].
% 2.84/3.12 5471 inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(multiply(A,B)),C))),multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),B))),multiply(inverse(E),inverse(c_0))))) = inverse(multiply(inverse(c_0),multiply(inverse(multiply(inverse(multiply(A,D)),C)),multiply(inverse(E),inverse(c_0))))). [back_rewrite(2022),rewrite([4858(5),4859(6),4858(14),4859(15),4550(19),5146(21),4858(29),4859(30),4550(34),5146(36),4858(45),4859(46),4550(50),5146(52),4550(54),4859(24),4859(23),4947(24),5446(20),4550(30),5146(32),4550(39),5146(41),4550(49),5146(51),4550(53),4859(35),4859(34),5155(36),5382(32)])].
% 2.84/3.12 5528 multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(D,c_0))))))),E)),multiply(C,multiply(inverse(multiply(B,D)),F))) = multiply(inverse(c_0),multiply(inverse(E),multiply(A,F))). [back_rewrite(1796),rewrite([4550(2),4858(20),4859(21)])].
% 2.84/3.12 5594 multiply(multiply(A,inverse(multiply(B,c_0))),multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(c_0),C))),c_0)),D)) = multiply(multiply(A,C),multiply(inverse(c_0),D)). [back_rewrite(1391),rewrite([4858(4),4859(5),4729(8),4550(4),4550(7),4729(15),4858(19),4859(20),4729(23),4550(19)])].
% 2.84/3.12 5610 multiply(A,multiply(inverse(c_0),multiply(inverse(B),multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),D))),E)))) = multiply(A,multiply(inverse(multiply(D,B)),multiply(C,multiply(inverse(c_0),E)))). [back_rewrite(1212),rewrite([4550(4),4858(9),4859(10),4968(10),4858(14),4859(15),4858(19),4859(20)]),flip(a)].
% 2.84/3.12 5614 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(D,A))),multiply(inverse(c_0),multiply(inverse(C),E)))) = multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(multiply(D,inverse(c_0))),multiply(B,E)))). [back_rewrite(1208),rewrite([4550(2),4858(11),5146(9),4859(12),4859(11),4858(21),4859(22)]),flip(a)].
% 2.84/3.12 5617 multiply(A,multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(A),B)))) = multiply(B,c_0). [back_rewrite(1203),rewrite([4550(2),4858(9),4859(10),4858(12),5006(10),4870(7),4858(8),4858(6),4859(7),4859(10),4859(9)]),flip(a)].
% 2.84/3.12 5618 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),C)),D)),multiply(inverse(c_0),multiply(inverse(C),E))) = multiply(inverse(multiply(B,D)),multiply(A,multiply(inverse(c_0),E))). [back_rewrite(1199),rewrite([4858(4),4859(5),4858(14),4859(15),4550(20),4858(25),4859(26),4968(26)])].
% 2.84/3.12 5629 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),C))),D)))),E) = multiply(inverse(multiply(inverse(multiply(C,A)),multiply(B,multiply(inverse(c_0),D)))),E). [back_rewrite(1163),rewrite([4550(4),4858(9),4859(10),4968(10),4858(15),4859(16),4858(20),4859(21)]),flip(a)].
% 2.84/3.12 5640 multiply(inverse(multiply(A,multiply(inverse(c_0),B))),multiply(inverse(multiply(C,inverse(multiply(A,c_0)))),D)) = multiply(inverse(c_0),multiply(inverse(multiply(C,B)),D)). [back_rewrite(1143),rewrite([4858(4),4859(5),4850(10),4859(6),4858(10),4859(11),4729(14),4550(10),4550(13)]),flip(a)].
% 2.84/3.12 5670 multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),inverse(multiply(inverse(D),multiply(B,multiply(inverse(c_0),inverse(c_0)))))) = multiply(inverse(c_0),inverse(multiply(inverse(D),inverse(multiply(multiply(inverse(C),multiply(inverse(A),inverse(c_0))),c_0))))). [back_rewrite(858),rewrite([4550(10),5146(12),4550(19),5146(21),5415(22),4550(25),5146(27),4550(34),5146(36),5415(37),4550(41),5146(43),4550(50),5146(52),4550(60),5146(62),4550(64),4859(46),4859(45),5155(47),5382(43),4550(50),5146(52),5415(53),4550(50),5103(21),4858(19),4859(18),5415(19),4550(23),4550(26),4550(30),4550(32),5010(27)]),flip(a)].
% 2.84/3.12 5694 multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),C))),D))) = multiply(inverse(multiply(C,A)),multiply(B,multiply(inverse(c_0),D))). [back_rewrite(506),rewrite([4550(4),4858(9),4859(10),4968(10),4858(13),4859(14),4858(18),4859(19)]),flip(a)].
% 2.84/3.12 5755 multiply(inverse(c_0),multiply(inverse(A),multiply(B,multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(C),D)))))) = multiply(inverse(multiply(multiply(inverse(multiply(inverse(C),D)),multiply(inverse(B),inverse(c_0))),A)),c_0). [back_rewrite(2995),rewrite([4858(12),4858(10),4859(11),4859(14),4859(13),4858(16),4859(17),5363(18),4858(22),4858(20),4859(21),4859(24),4859(23),4858(27),5446(24)])].
% 2.84/3.12 5769 multiply(inverse(c_0),multiply(inverse(multiply(A,multiply(inverse(c_0),multiply(inverse(multiply(B,A)),C)))),multiply(D,E))) = multiply(inverse(multiply(C,c_0)),multiply(multiply(B,D),multiply(inverse(c_0),E))). [back_rewrite(1905),rewrite([4858(5),4859(6),4858(12),4858(10),4859(11),4859(14),4859(13),5694(14),4858(14),4859(15),4858(21),4859(22)]),flip(a)].
% 2.84/3.12 5775 multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),C))),multiply(D,A))),multiply(inverse(c_0),multiply(inverse(multiply(E,C)),F)))) = multiply(V6,multiply(inverse(c_0),multiply(inverse(multiply(D,V6)),multiply(inverse(multiply(E,B)),F)))). [back_rewrite(1873),rewrite([4858(4),4859(5),4858(14),4859(15),4858(25),4859(26)])].
% 2.84/3.12 5802 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(c_0),multiply(inverse(B),D))) = multiply(inverse(c_0),multiply(inverse(C),multiply(A,D))). [back_rewrite(544),rewrite([4858(4),4859(5),4858(12),4859(13),4858(17),4859(6),4858(14),4859(15)]),flip(a)].
% 2.84/3.12 5816 multiply(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),inverse(c_0))),multiply(C,D)) = multiply(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(D)),inverse(c_0))),c_0). [back_rewrite(710),rewrite([4858(6),4859(7),4850(15),4858(7),4858(5),4859(6),4859(9),4859(8),5446(11),4858(17),4858(15),4859(16),4859(19),4859(18),5446(21)]),flip(a)].
% 2.84/3.12 5822 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(D),B)),E)) = multiply(inverse(multiply(inverse(multiply(A,D)),C)),multiply(inverse(c_0),E)). [back_rewrite(4656),rewrite([4858(17),4859(18),5006(23),4849(20)])].
% 2.84/3.12 5823 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(inverse(c_0),C)),multiply(inverse(multiply(D,multiply(inverse(c_0),inverse(multiply(A,c_0))))),E)). [back_rewrite(4655),rewrite([4858(16),4859(17),5006(22)])].
% 2.84/3.12 5838 multiply(c_0,c_0) = c_0. [back_rewrite(4677),rewrite([4859(6),4729(9),4550(5),5010(13),4858(14),5150(6),4859(9),4859(8),5617(10)])].
% 2.84/3.12 5855 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(multiply(inverse(multiply(inverse(F),V6)),multiply(inverse(A),inverse(c_0))),C)),multiply(multiply(inverse(multiply(inverse(F),V6)),multiply(inverse(D),inverse(c_0))),E)). [back_rewrite(3090),rewrite([4858(6),4858(4),4859(5),4859(8),4859(7),5446(10),4858(16),4858(14),4859(15),4859(18),4859(17),5446(20)]),flip(a)].
% 2.84/3.12 5857 multiply(inverse(multiply(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),inverse(c_0))),D)),multiply(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(E)),inverse(c_0))),c_0)) = multiply(inverse(c_0),multiply(inverse(D),multiply(C,E))). [back_rewrite(2993),rewrite([4858(6),4858(4),4859(5),4859(8),4859(7),5446(10),4858(16),4858(14),4859(15),4859(18),4859(17),5446(20),5816(20),4858(27),4859(28)])].
% 2.84/3.12 5876 multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(c_0),inverse(multiply(B,c_0))))) = multiply(inverse(multiply(B,A)),c_0). [back_rewrite(4810),rewrite([4858(4),4859(5),4859(18),5802(19),5006(13)])].
% 2.84/3.12 5883 inverse(c_0) = c_0. [back_rewrite(4832),rewrite([4858(4),4859(5),4858(12),4859(13),4859(16),4859(15),5067(18),4550(13),4850(13),4550(5),4859(8),4864(8),5838(3)])].
% 2.84/3.12 5926 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(c_0,multiply(inverse(B),C)). [back_rewrite(4858),rewrite([4859(9),5883(6)])].
% 2.84/3.12 5973 multiply(c_0,multiply(inverse(A),c_0)) = inverse(multiply(A,c_0)). [back_rewrite(4905),rewrite([4975(16),5883(8),5926(9)])].
% 2.84/3.12 5977 multiply(A,inverse(multiply(inverse(B),multiply(A,c_0)))) = inverse(multiply(inverse(multiply(c_0,B)),c_0)). [back_rewrite(4942),rewrite([5883(3),5147(11),5883(4),5883(5),5973(9),4873(9),5883(3),5095(18),5883(8),5838(12),5883(11)])].
% 2.84/3.12 6031 multiply(c_0,inverse(multiply(inverse(A),c_0))) = A. [back_rewrite(5044),rewrite([5103(15),5883(10),5926(12),5926(11),5973(7)])].
% 2.84/3.12 6058 multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(A,c_0))))) = inverse(multiply(inverse(multiply(c_0,B)),c_0)). [back_rewrite(4874),rewrite([5883(2),5838(6),5883(5)]),flip(a)].
% 2.84/3.12 6117 multiply(c_0,A) = A. [back_rewrite(4863),rewrite([5883(2),6058(9),6031(8)])].
% 2.84/3.12 6170 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),D)) = multiply(inverse(C),multiply(A,D)). [back_rewrite(5360),rewrite([5528(15),5883(2),6117(5),5883(9),6117(11)]),flip(a)].
% 2.84/3.12 6223 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,D))),E) = multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(C),A)),D))),E). [back_rewrite(5629),rewrite([5883(2),5883(4),6117(6),6117(8),5883(12),6117(12)]),flip(a)].
% 2.84/3.12 6224 multiply(A,multiply(inverse(multiply(B,C)),multiply(D,E))) = multiply(A,multiply(inverse(C),multiply(inverse(multiply(inverse(D),B)),E))). [back_rewrite(5610),rewrite([5883(2),5883(4),6117(6),6117(8),5883(11),6117(11)]),flip(a)].
% 2.84/3.12 6252 multiply(A,multiply(inverse(A),multiply(inverse(multiply(inverse(B),C)),D))) = multiply(inverse(multiply(inverse(B),C)),D). [back_rewrite(5614),rewrite([5883(7),6117(9),6170(8),6224(5),5883(9),5883(10),5883(11),6224(15),5883(11),6117(15),6117(14),6117(13)])].
% 2.84/3.12 6261 multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(A,B))),inverse(B)))),inverse(multiply(inverse(C),inverse(D))))),E) = multiply(inverse(multiply(inverse(inverse(multiply(A,D))),C)),E). [back_rewrite(5775),rewrite([5883(2),6117(4),5883(8),6117(11),6223(10),6224(13),6224(15),6252(17),5883(16),6224(22),6117(24),6252(23)])].
% 2.84/3.12 6267 inverse(multiply(A,c_0)) = multiply(inverse(A),c_0). [back_rewrite(4987),rewrite([5883(2),6117(5),5883(12),6117(14),6170(13),5883(12),4859(12),5883(8),6117(11),6170(10),4550(3)]),flip(a)].
% 2.84/3.12 6281 multiply(inverse(multiply(A,B)),multiply(C,D)) = multiply(inverse(B),multiply(inverse(multiply(inverse(C),A)),D)). [back_rewrite(5618),rewrite([5883(2),6117(4),5883(9),6117(11),6170(10),5883(10),6117(10)]),flip(a)].
% 2.84/3.12 6291 inverse(multiply(inverse(A),multiply(inverse(inverse(multiply(B,C))),multiply(inverse(multiply(inverse(inverse(inverse(D))),inverse(inverse(C)))),inverse(E))))) = inverse(multiply(inverse(A),multiply(inverse(inverse(multiply(B,D))),inverse(E)))). [back_rewrite(5471),rewrite([5883(2),6117(5),5883(6),6117(8),5883(10),6281(11),4859(12),5883(7),6117(11),6281(11),6281(12),5883(18),5883(24),6281(25),4859(26),5883(20),6117(25),6117(25)])].
% 2.84/3.12 6298 multiply(inverse(A),multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(inverse(multiply(C,D))),inverse(multiply(B,D)))))),E)) = multiply(inverse(A),multiply(C,E)). [back_rewrite(5081),rewrite([6281(8),5883(17),4859(17),5883(13),6117(16),5926(15),6281(12),6117(15),6267(19),4859(19),5883(15),6117(18)])].
% 2.84/3.12 6299 multiply(inverse(inverse(A)),c_0) = A. [back_rewrite(5033),rewrite([6281(8),6281(18),6281(20),6261(21),5926(5),6117(5),6267(19),4859(19),5883(15),6117(18),5926(17),6281(14),6298(16),4550(5),6117(6)])].
% 2.84/3.12 6301 multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(D,C)))),E)) = multiply(multiply(inverse(A),c_0),multiply(multiply(D,B),E)). [back_rewrite(5769),rewrite([5883(2),5883(3),6117(6),6281(8),6281(10),6117(13),6267(14),5883(17),6117(17)])].
% 2.84/3.12 6337 multiply(multiply(A,multiply(inverse(B),c_0)),multiply(multiply(C,D),E)) = multiply(A,multiply(inverse(multiply(inverse(multiply(C,D)),B)),E)). [back_rewrite(5372),rewrite([5883(2),6267(6),6117(10),5883(11),6117(13),6281(14),6301(16),6299(8)])].
% 2.84/3.12 6392 multiply(inverse(multiply(A,B)),c_0) = multiply(inverse(B),multiply(inverse(A),c_0)). [back_rewrite(5876),rewrite([5883(2),5883(4),6267(6),6117(7),6117(7)]),flip(a)].
% 2.84/3.12 6409 multiply(inverse(A),multiply(inverse(inverse(B)),C)) = multiply(inverse(A),multiply(B,C)). [back_rewrite(5857),rewrite([5883(6),6281(7),6392(8),6299(8),5883(15),6299(15),6281(15),6281(13),6281(14),6291(18),4550(4),5883(4),5883(4),6117(5),6392(7),6299(7),5883(7),6117(10)])].
% 2.84/3.12 6410 multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(D,C)))),E)) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(B)),inverse(D))),E)). [back_rewrite(5855),rewrite([6281(8),5883(16),6281(17),6392(18),6299(18),6409(16),5883(22),6281(23),6392(24),6299(24),6409(22),6281(22),5926(21),5926(18),6117(18),6117(17)])].
% 2.84/3.12 6428 multiply(inverse(A),multiply(inverse(multiply(B,multiply(inverse(C),c_0))),D)) = multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(B)),inverse(C))),D)). [back_rewrite(5823),rewrite([6281(8),6410(10),5883(10),6117(10),5883(11),6267(13),6117(14)]),flip(a)].
% 2.84/3.12 6429 multiply(inverse(multiply(inverse(multiply(A,B)),C)),D) = multiply(inverse(C),multiply(inverse(multiply(inverse(inverse(inverse(B))),inverse(A))),D)). [back_rewrite(5822),rewrite([6281(9),6410(11),5883(15),6117(15)]),flip(a)].
% 2.84/3.12 6443 multiply(inverse(A),multiply(inverse(multiply(B,inverse(C))),D)) = multiply(inverse(A),multiply(C,multiply(inverse(B),D))). [back_rewrite(5755),rewrite([5883(2),5883(4),5883(5),6117(7),6117(6),6117(7),5883(11),6281(12),6392(13),6299(13),6409(11),6392(13),6392(13),6299(13)]),flip(a)].
% 2.84/3.12 6475 inverse(multiply(inverse(A),multiply(B,C))) = multiply(inverse(C),multiply(inverse(B),A)). [back_rewrite(5670),rewrite([5883(8),5883(9),6117(9),6429(11),6443(15),6409(13),6409(11),5977(8),6117(4),6267(6),6299(6),5883(6),5883(10),6267(14),6392(14),6267(10),6299(10),6299(10),6117(10)]),flip(a)].
% 2.84/3.12 6486 multiply(inverse(multiply(A,B)),C) = multiply(inverse(B),multiply(inverse(A),C)). [back_rewrite(5640),rewrite([5883(2),6117(2),6267(5),6428(9),6443(9),5926(8),6409(7),6117(6),5883(6),6117(9)]),flip(a)].
% 2.84/3.12 6500 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)). [back_rewrite(5594),rewrite([6267(3),5883(6),6117(6),6486(8),6475(10),5883(6),6117(9),6337(9),6486(5),6409(6),4550(3),6267(4),6299(4),5883(5),6117(5)]),flip(a)].
% 2.84/3.12 6501 $F # answer(prove_these_axioms_3). [resolve(6500,a,2,a)].
% 2.84/3.12
% 2.84/3.12 % SZS output end Refutation
% 2.84/3.12 ============================== end of proof ==========================
% 2.84/3.12
% 2.84/3.12 ============================== STATISTICS ============================
% 2.84/3.12
% 2.84/3.12 Given=39. Generated=16587. Kept=6500. proofs=1.
% 2.84/3.12 Usable=3. Sos=236. Demods=771. Limbo=617, Disabled=5645. Hints=0.
% 2.84/3.12 Megabytes=19.23.
% 2.84/3.12 User_CPU=2.14, System_CPU=0.02, Wall_clock=2.
% 2.84/3.12
% 2.84/3.12 ============================== end of statistics =====================
% 2.84/3.12
% 2.84/3.12 ============================== end of search =========================
% 2.84/3.12
% 2.84/3.12 THEOREM PROVED
% 2.84/3.12 % SZS status Unsatisfiable
% 2.84/3.12
% 2.84/3.12 Exiting with 1 proof.
% 2.84/3.12
% 2.84/3.12 Process 16036 exit (max_proofs) Tue Jun 14 06:43:27 2022
% 2.84/3.12 Prover9 interrupted
%------------------------------------------------------------------------------