TSTP Solution File: GRP408-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP408-1 : 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 11:18:58 EDT 2022
% Result : Unsatisfiable 1.72s 1.98s
% Output : Refutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP408-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n007.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 14 08:16:09 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.72/1.98 ============================== Prover9 ===============================
% 1.72/1.98 Prover9 (32) version 2009-11A, November 2009.
% 1.72/1.98 Process 6509 was started by sandbox2 on n007.cluster.edu,
% 1.72/1.98 Tue Jun 14 08:16:10 2022
% 1.72/1.98 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6267_n007.cluster.edu".
% 1.72/1.98 ============================== end of head ===========================
% 1.72/1.98
% 1.72/1.98 ============================== INPUT =================================
% 1.72/1.98
% 1.72/1.98 % Reading from file /tmp/Prover9_6267_n007.cluster.edu
% 1.72/1.98
% 1.72/1.98 set(prolog_style_variables).
% 1.72/1.98 set(auto2).
% 1.72/1.98 % set(auto2) -> set(auto).
% 1.72/1.98 % set(auto) -> set(auto_inference).
% 1.72/1.98 % set(auto) -> set(auto_setup).
% 1.72/1.98 % set(auto_setup) -> set(predicate_elim).
% 1.72/1.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.72/1.98 % set(auto) -> set(auto_limits).
% 1.72/1.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.72/1.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.72/1.98 % set(auto) -> set(auto_denials).
% 1.72/1.98 % set(auto) -> set(auto_process).
% 1.72/1.98 % set(auto2) -> assign(new_constants, 1).
% 1.72/1.98 % set(auto2) -> assign(fold_denial_max, 3).
% 1.72/1.98 % set(auto2) -> assign(max_weight, "200.000").
% 1.72/1.98 % set(auto2) -> assign(max_hours, 1).
% 1.72/1.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.72/1.98 % set(auto2) -> assign(max_seconds, 0).
% 1.72/1.98 % set(auto2) -> assign(max_minutes, 5).
% 1.72/1.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.72/1.98 % set(auto2) -> set(sort_initial_sos).
% 1.72/1.98 % set(auto2) -> assign(sos_limit, -1).
% 1.72/1.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.72/1.98 % set(auto2) -> assign(max_megs, 400).
% 1.72/1.98 % set(auto2) -> assign(stats, some).
% 1.72/1.98 % set(auto2) -> clear(echo_input).
% 1.72/1.98 % set(auto2) -> set(quiet).
% 1.72/1.98 % set(auto2) -> clear(print_initial_clauses).
% 1.72/1.98 % set(auto2) -> clear(print_given).
% 1.72/1.98 assign(lrs_ticks,-1).
% 1.72/1.98 assign(sos_limit,10000).
% 1.72/1.98 assign(order,kbo).
% 1.72/1.98 set(lex_order_vars).
% 1.72/1.98 clear(print_given).
% 1.72/1.98
% 1.72/1.98 % formulas(sos). % not echoed (2 formulas)
% 1.72/1.98
% 1.72/1.98 ============================== end of input ==========================
% 1.72/1.98
% 1.72/1.98 % From the command line: assign(max_seconds, 300).
% 1.72/1.98
% 1.72/1.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.72/1.98
% 1.72/1.98 % Formulas that are not ordinary clauses:
% 1.72/1.98
% 1.72/1.98 ============================== end of process non-clausal formulas ===
% 1.72/1.98
% 1.72/1.98 ============================== PROCESS INITIAL CLAUSES ===============
% 1.72/1.98
% 1.72/1.98 ============================== PREDICATE ELIMINATION =================
% 1.72/1.98
% 1.72/1.98 ============================== end predicate elimination =============
% 1.72/1.98
% 1.72/1.98 Auto_denials:
% 1.72/1.98 % copying label prove_these_axioms_3 to answer in negative clause
% 1.72/1.98
% 1.72/1.98 Term ordering decisions:
% 1.72/1.98
% 1.72/1.98 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 1.72/1.98 Function symbol KB weights: a3=1. b3=1. c3=1. multiply=1. inverse=0.
% 1.72/1.98
% 1.72/1.98 ============================== end of process initial clauses ========
% 1.72/1.98
% 1.72/1.98 ============================== CLAUSES FOR SEARCH ====================
% 1.72/1.98
% 1.72/1.98 ============================== end of clauses for search =============
% 1.72/1.98
% 1.72/1.98 ============================== SEARCH ================================
% 1.72/1.98
% 1.72/1.98 % Starting search at 0.01 seconds.
% 1.72/1.98
% 1.72/1.98 ============================== PROOF =================================
% 1.72/1.98 % SZS status Unsatisfiable
% 1.72/1.98 % SZS output start Refutation
% 1.72/1.98
% 1.72/1.98 % Proof 1 at 1.04 (+ 0.01) seconds: prove_these_axioms_3.
% 1.72/1.98 % Length of proof is 143.
% 1.72/1.98 % Level of proof is 35.
% 1.72/1.98 % Maximum clause weight is 156.000.
% 1.72/1.98 % Given clauses 27.
% 1.72/1.98
% 1.72/1.98 1 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C # label(single_axiom) # label(axiom). [assumption].
% 1.72/1.98 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].
% 1.72/1.98 3 multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))))))) = C. [para(1(a,1),1(a,1,2,1,1,1,1,1))].
% 1.72/1.99 4 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),multiply(inverse(C),multiply(inverse(C),C)))) = multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B))))). [para(1(a,1),1(a,1,2,1,1,1)),flip(a)].
% 1.72/1.99 6 inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),multiply(inverse(E),multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),multiply(inverse(E),multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),multiply(inverse(E),multiply(inverse(E),E)))))))) = multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),multiply(inverse(D),D))))). [para(3(a,1),1(a,1,2,1,1,1)),flip(a)].
% 1.72/1.99 7 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),multiply(inverse(B),multiply(inverse(B),B)))) = multiply(D,inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),multiply(inverse(E),multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),multiply(inverse(E),multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),multiply(inverse(E),multiply(inverse(E),E))))))))). [para(1(a,1),3(a,1,2,1,1,1)),flip(a)].
% 1.72/1.99 17 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(B),multiply(inverse(B),B)))))) = C. [para(4(a,1),1(a,1,2))].
% 1.72/1.99 43 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),C))),multiply(inverse(B),multiply(inverse(B),B)))) = C. [para(4(a,2),3(a,1)),rewrite([1(11)])].
% 1.72/1.99 44 inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,inverse(multiply(inverse(A),multiply(inverse(D),multiply(inverse(D),D)))))),multiply(inverse(multiply(C,inverse(multiply(inverse(A),multiply(inverse(D),multiply(inverse(D),D)))))),multiply(C,inverse(multiply(inverse(A),multiply(inverse(D),multiply(inverse(D),D))))))))) = multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),multiply(inverse(D),D))))). [para(3(a,1),4(a,1,1,1,1,1,1)),rewrite([6(48),6(57),6(66)])].
% 1.72/1.99 53 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(multiply(D,E)),B)),F))),multiply(inverse(C),multiply(inverse(C),C)))) = multiply(A,multiply(D,inverse(multiply(inverse(F),multiply(inverse(E),multiply(inverse(E),E)))))). [para(4(a,1),4(a,2,2))].
% 1.72/1.99 63 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),multiply(inverse(B),multiply(inverse(B),B)))) = multiply(inverse(multiply(D,E)),inverse(multiply(inverse(C),multiply(inverse(multiply(D,inverse(multiply(inverse(A),multiply(inverse(E),multiply(inverse(E),E)))))),multiply(inverse(multiply(D,inverse(multiply(inverse(A),multiply(inverse(E),multiply(inverse(E),E)))))),multiply(D,inverse(multiply(inverse(A),multiply(inverse(E),multiply(inverse(E),E)))))))))). [para(17(a,1),4(a,1,1,1,1,1,1,1,1))].
% 1.72/1.99 100 multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(43(a,1),17(a,1,2,2)),flip(a)].
% 1.72/1.99 101 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(B),multiply(inverse(B),B)))) = C. [para(43(a,1),43(a,1,1,1,1,1,1,1)),rewrite([43(15)])].
% 1.72/1.99 132 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),D))),multiply(inverse(C),multiply(inverse(C),C)))) = multiply(A,inverse(multiply(inverse(multiply(E,D)),multiply(E,multiply(inverse(B),B))))). [para(100(a,1),4(a,2,2,1))].
% 1.72/1.99 146 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,D)),multiply(C,multiply(inverse(B),B)))))) = multiply(inverse(B),D). [para(100(a,1),17(a,1,2,2,1))].
% 1.72/1.99 152 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(100(a,1),100(a,1))].
% 1.72/1.99 180 multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),multiply(inverse(C),multiply(inverse(C),C)))))),multiply(A,E)) = multiply(inverse(D),multiply(B,E)). [para(1(a,1),152(a,1,1,1)),flip(a)].
% 1.72/1.99 181 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),multiply(inverse(D),multiply(inverse(D),D)))))) = multiply(inverse(multiply(C,B)),E). [para(1(a,1),152(a,1,2)),flip(a)].
% 1.72/1.99 188 multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),B)),multiply(inverse(E),multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),B)),multiply(inverse(E),multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(inverse(multiply(D,E)),B)),multiply(inverse(E),multiply(inverse(E),E)))))))))),multiply(A,F)) = multiply(inverse(C),multiply(D,F)). [para(3(a,1),152(a,1,1,1)),flip(a)].
% 1.72/1.99 192 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,D))),E)),multiply(inverse(multiply(C,D)),multiply(inverse(multiply(F,D)),multiply(F,D))))) = multiply(A,inverse(multiply(inverse(E),multiply(inverse(B),multiply(inverse(B),B))))). [para(152(a,1),4(a,1,1,2,2))].
% 1.72/1.99 197 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,inverse(multiply(inverse(D),multiply(inverse(multiply(B,C)),multiply(inverse(multiply(E,C)),multiply(E,C))))))) = D. [para(152(a,1),17(a,1,2,2,1,2,2))].
% 1.72/1.99 207 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(152(a,1),152(a,1,1,1))].
% 1.72/1.99 208 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(152(a,1),152(a,1,2))].
% 1.72/1.99 235 multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,C)) = multiply(D,multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,D))),C)). [para(101(a,1),152(a,1,1)),flip(a)].
% 1.72/1.99 247 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(D,multiply(inverse(B),B)))))) = multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(E),C)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),multiply(inverse(F),multiply(inverse(F),F))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),multiply(inverse(F),multiply(inverse(F),F))))),inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),multiply(inverse(F),multiply(inverse(F),F))))))))). [para(3(a,1),146(a,1,2,2,1,1,1))].
% 1.72/1.99 250 inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),multiply(inverse(A),A)))) = inverse(multiply(inverse(multiply(C,B)),multiply(C,multiply(inverse(A),A)))). [para(146(a,1),4(a,1,1,1,1)),rewrite([1(27)])].
% 1.72/1.99 264 multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),multiply(inverse(multiply(F,D)),multiply(inverse(B),B)))))) = multiply(inverse(B),multiply(F,E)). [para(152(a,1),146(a,1,2,2,1,1,1))].
% 1.72/1.99 280 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),207(a,1,2)),rewrite([181(23)])].
% 1.72/1.99 487 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),multiply(inverse(multiply(E,C)),multiply(inverse(F),F))))) = multiply(A,inverse(multiply(inverse(multiply(inverse(F),multiply(E,D))),multiply(inverse(F),multiply(inverse(F),F))))). [para(207(a,2),6(a,2,2,1)),rewrite([6(48)]),flip(a)].
% 1.72/1.99 534 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),208(a,1,1,1)),rewrite([180(23)])].
% 1.72/1.99 615 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(208(a,1),207(a,1))].
% 1.72/1.99 704 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(A,multiply(inverse(multiply(E,C)),multiply(E,D))). [para(101(a,1),534(a,1,1)),rewrite([101(16)])].
% 1.72/1.99 973 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,D)))),multiply(inverse(multiply(E,C)),multiply(inverse(multiply(E,C)),multiply(E,C))))) = multiply(E,D). [para(615(a,1),4(a,1,1,1,1)),rewrite([1(28)])].
% 1.72/1.99 1003 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),E)),multiply(inverse(multiply(F,multiply(V6,D))),multiply(F,multiply(V6,C))))))) = multiply(inverse(multiply(B,C)),E). [para(615(a,1),146(a,1,2,2,1,2))].
% 1.72/1.99 1039 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),D)),E)),multiply(inverse(multiply(F,D)),multiply(F,multiply(A,multiply(B,V6))))) = multiply(inverse(multiply(V7,E)),multiply(V7,multiply(inverse(multiply(V8,multiply(V9,C))),multiply(V8,multiply(V9,V6))))). [para(615(a,1),208(a,2,2,2))].
% 1.72/1.99 1073 inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C)))) = inverse(multiply(inverse(multiply(D,B)),multiply(D,multiply(inverse(C),C)))). [para(152(a,1),250(a,1,1))].
% 1.72/1.99 1086 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),multiply(inverse(E),E)))) = inverse(multiply(inverse(multiply(F,multiply(D,C))),multiply(F,multiply(inverse(E),E)))). [para(207(a,2),250(a,1,1))].
% 1.72/1.99 1119 inverse(multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(inverse(B),B)))) = inverse(multiply(inverse(multiply(D,multiply(E,C))),multiply(D,multiply(E,B)))). [para(615(a,1),250(a,1,1)),flip(a)].
% 1.72/1.99 1138 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),multiply(inverse(multiply(E,C)),multiply(E,multiply(A,B))))) = inverse(multiply(inverse(multiply(F,D)),multiply(F,multiply(inverse(multiply(V6,B)),multiply(V6,B))))). [para(208(a,1),1073(a,1,1,2))].
% 1.72/1.99 1519 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),multiply(inverse(B),multiply(inverse(B),B))) = C. [para(235(a,2),17(a,1,2,2,1)),rewrite([146(30)])].
% 1.72/1.99 1610 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),B)),multiply(F,multiply(inverse(multiply(inverse(multiply(V6,E)),multiply(V6,F))),V7)))) = multiply(inverse(multiply(V8,C)),multiply(V8,multiply(A,multiply(D,V7)))). [para(235(a,1),208(a,1,2,2))].
% 1.72/1.99 1633 multiply(A,multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(C),C)))),D)),multiply(E,multiply(inverse(multiply(inverse(multiply(F,C)),multiply(F,E))),V6)))) = multiply(A,multiply(inverse(multiply(V7,D)),multiply(V7,multiply(B,V6)))). [para(235(a,1),704(a,1,2,2))].
% 1.72/1.99 1712 multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(C),C)))),multiply(B,D)))),multiply(A,inverse(multiply(inverse(E),multiply(inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,C)),multiply(V6,F))),D))),multiply(inverse(multiply(V7,multiply(B,D))),multiply(V7,multiply(B,D)))))))) = E. [para(235(a,1),197(a,1,2,2,1,2,1,1))].
% 1.72/1.99 1717 multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(C),C)))),multiply(B,D)))),multiply(A,inverse(multiply(inverse(E),multiply(inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,C)),multiply(V6,F))),D))),multiply(inverse(multiply(V7,multiply(inverse(multiply(inverse(multiply(V6,C)),multiply(V6,F))),D))),multiply(V7,multiply(inverse(multiply(inverse(multiply(V6,C)),multiply(V6,F))),D)))))))) = E. [para(235(a,2),197(a,1,1,1,2))].
% 1.72/1.99 1751 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),D)),C)),multiply(inverse(D),multiply(inverse(D),D)))) = multiply(inverse(B),multiply(inverse(B),B)). [para(1519(a,1),101(a,1,1,1,1,2))].
% 1.72/1.99 1784 multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),E))),multiply(A,D)) = multiply(inverse(multiply(F,multiply(V6,E))),multiply(F,multiply(V6,multiply(inverse(C),multiply(inverse(C),C))))). [para(1519(a,1),615(a,1,2,2))].
% 1.72/1.99 1785 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),multiply(inverse(B),D))),C) = multiply(inverse(multiply(E,multiply(F,D))),multiply(E,multiply(F,multiply(inverse(B),B)))). [para(1519(a,1),615(a,1,2))].
% 1.72/1.99 1799 multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B)))) = multiply(inverse(C),C). [para(1519(a,1),235(a,2,2))].
% 1.72/1.99 1805 multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(C),C)))),multiply(B,multiply(inverse(C),multiply(inverse(C),C))))),D)),multiply(inverse(A),multiply(inverse(A),A))))) = D. [para(1799(a,2),1(a,1,2,1,1,1,1,1))].
% 1.72/1.99 1829 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),C)),D)),multiply(inverse(C),multiply(inverse(C),C)))) = multiply(inverse(E),inverse(multiply(inverse(D),multiply(inverse(E),multiply(inverse(E),E))))). [para(1799(a,2),4(a,1,1,1,1,1,1,1,1))].
% 1.72/1.99 1831 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(C),multiply(inverse(C),C)))) = C. [para(1799(a,2),4(a,1,1,1,1)),rewrite([1(30)])].
% 1.72/1.99 1840 multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),E)),multiply(inverse(D),multiply(inverse(D),D)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),E)),multiply(inverse(D),multiply(inverse(D),D)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),E)),multiply(inverse(D),multiply(inverse(D),D))))))),multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),E)),multiply(inverse(D),multiply(inverse(D),D)))),multiply(multiply(B,inverse(multiply(inverse(E),multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),E)),multiply(inverse(D),multiply(inverse(D),D))))))) = multiply(inverse(F),F). [para(4(a,1),1799(a,1,2,2,2,1))].
% 1.72/1.99 1858 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(C),D)) = multiply(inverse(multiply(E,C)),multiply(E,D)). [para(1799(a,2),152(a,1,1,1))].
% 1.72/1.99 1859 multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,multiply(inverse(D),multiply(inverse(D),D)))),multiply(C,multiply(inverse(D),multiply(inverse(D),D))))) = multiply(inverse(multiply(E,B)),multiply(E,A)). [para(1799(a,2),152(a,1,2))].
% 1.72/1.99 1883 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,C))),multiply(inverse(D),D)) = multiply(inverse(multiply(E,multiply(F,C))),multiply(E,multiply(F,multiply(inverse(B),multiply(inverse(B),B))))). [para(1799(a,1),207(a,1,2))].
% 1.72/1.99 1888 multiply(inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,multiply(inverse(D),multiply(inverse(D),D)))),multiply(C,multiply(inverse(D),multiply(inverse(D),D)))))),multiply(inverse(multiply(E,B)),F)) = multiply(inverse(multiply(V6,multiply(E,A))),multiply(V6,F)). [para(1799(a,2),207(a,1,1,1,2))].
% 1.72/1.99 1892 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(multiply(C,D)),E)) = multiply(inverse(multiply(inverse(multiply(F,V6)),multiply(F,D))),multiply(inverse(multiply(C,V6)),E)). [para(1799(a,2),207(a,2,1,1)),flip(a)].
% 1.72/1.99 1893 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(inverse(multiply(F,multiply(inverse(V6),multiply(inverse(V6),V6)))),multiply(F,multiply(inverse(V6),multiply(inverse(V6),V6))))). [para(1799(a,2),207(a,2,2))].
% 1.72/1.99 1916 inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),E)),A)),multiply(inverse(E),multiply(inverse(E),E))))),multiply(inverse(multiply(F,multiply(inverse(V6),multiply(inverse(V6),V6)))),multiply(F,multiply(inverse(V6),multiply(inverse(V6),V6))))))) = multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),multiply(inverse(D),D))))). [para(1799(a,2),6(a,1,1,2,2))].
% 1.72/1.99 1924 multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(C),D))),E) = multiply(inverse(multiply(inverse(multiply(F,C)),multiply(F,D))),E). [para(1799(a,2),280(a,1,1,1,1,1))].
% 1.72/1.99 1925 multiply(inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,multiply(inverse(D),multiply(inverse(D),D)))),multiply(C,multiply(inverse(D),multiply(inverse(D),D)))))),E) = multiply(inverse(multiply(inverse(multiply(F,B)),multiply(F,A))),E). [para(1799(a,2),280(a,1,1,1,2))].
% 1.72/1.99 1939 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(inverse(D),B)),multiply(inverse(multiply(E,multiply(inverse(F),multiply(inverse(F),F)))),multiply(E,multiply(inverse(F),multiply(inverse(F),F)))))) = multiply(inverse(multiply(V6,C)),multiply(V6,multiply(A,D))). [para(1799(a,2),208(a,1,2,2))].
% 1.72/1.99 1940 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(C),multiply(D,E))) = multiply(inverse(multiply(inverse(multiply(D,F)),C)),multiply(inverse(multiply(V6,F)),multiply(V6,E))). [para(1799(a,2),208(a,2,1,1)),flip(a)].
% 1.72/1.99 1942 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),multiply(D,multiply(inverse(E),multiply(inverse(E),E))))) = multiply(inverse(multiply(inverse(multiply(A,F)),C)),multiply(inverse(multiply(V6,F)),multiply(V6,B))). [para(1799(a,2),208(a,2,2)),flip(a)].
% 1.72/1.99 1952 multiply(A,multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(C),multiply(inverse(C),C)))),multiply(B,multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(D),E))) = multiply(A,multiply(inverse(multiply(F,D)),multiply(F,E))). [para(1799(a,2),704(a,1,2,1,1))].
% 1.72/1.99 1953 multiply(A,multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),multiply(D,multiply(inverse(E),multiply(inverse(E),E)))))) = multiply(A,multiply(inverse(multiply(F,C)),multiply(F,B))). [para(1799(a,2),704(a,1,2,2))].
% 1.72/1.99 1957 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),multiply(inverse(B),multiply(inverse(B),B)))) = multiply(D,inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(F),multiply(inverse(F),F))))),A)),multiply(inverse(multiply(E,multiply(inverse(F),multiply(inverse(F),F)))),multiply(inverse(multiply(E,multiply(inverse(F),multiply(inverse(F),F)))),multiply(E,multiply(inverse(F),multiply(inverse(F),F)))))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(F),multiply(inverse(F),F))))),A)),multiply(inverse(multiply(E,multiply(inverse(F),multiply(inverse(F),F)))),multiply(inverse(multiply(E,multiply(inverse(F),multiply(inverse(F),F)))),multiply(E,multiply(inverse(F),multiply(inverse(F),F)))))))),inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(E,multiply(inverse(F),multiply(inverse(F),F))))),A)),multiply(inverse(multiply(E,multiply(inverse(F),multiply(inverse(F),F)))),multiply(inverse(V6),V6))))))))). [para(1799(a,1),7(a,2,2,1,2,2,2,1,2,2))].
% 1.72/1.99 1958 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),C)),multiply(inverse(D),multiply(inverse(D),D)))) = multiply(E,inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),D)),multiply(inverse(F),multiply(inverse(F),F))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),D)),multiply(inverse(F),multiply(inverse(F),F))))),inverse(multiply(inverse(multiply(inverse(multiply(E,F)),D)),multiply(inverse(F),multiply(inverse(F),F))))))))). [para(1799(a,2),7(a,1,1,1,1,1,1))].
% 1.72/1.99 1966 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),multiply(inverse(B),multiply(inverse(B),B)))) = multiply(D,inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),multiply(inverse(E),multiply(inverse(E),E))))),multiply(inverse(multiply(F,multiply(inverse(V6),multiply(inverse(V6),V6)))),multiply(F,multiply(inverse(V6),multiply(inverse(V6),V6)))))))). [para(1799(a,2),7(a,2,2,1,2,2))].
% 1.72/1.99 1970 multiply(inverse(A),A) = multiply(multiply(B,inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,D)),E)),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,D)),E)),multiply(inverse(D),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(B,D)),E)),multiply(inverse(D),multiply(inverse(D),D))))))))),multiply(inverse(multiply(inverse(multiply(inverse(E),F)),C)),multiply(inverse(F),multiply(inverse(F),F)))). [para(7(a,1),1799(a,1,1)),flip(a)].
% 1.72/1.99 1977 multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),multiply(D,multiply(inverse(E),multiply(inverse(E),E)))))) = multiply(inverse(multiply(F,multiply(V6,C))),multiply(F,multiply(V6,B))). [para(1799(a,2),615(a,1,2,2))].
% 1.72/1.99 2021 multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),multiply(D,multiply(inverse(E),multiply(inverse(E),E))))),multiply(inverse(multiply(F,B)),multiply(F,B))))))) = C. [para(1799(a,2),197(a,1,2,2,1,2,1,1))].
% 1.72/1.99 2032 multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(multiply(C,multiply(inverse(D),multiply(inverse(D),D)))),multiply(C,multiply(inverse(D),multiply(inverse(D),D))))))),multiply(A,E)) = multiply(F,multiply(inverse(multiply(inverse(multiply(V6,B)),multiply(V6,F))),E)). [para(1799(a,2),235(a,1,1,1,2,2))].
% 1.72/1.99 2033 multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(multiply(inverse(C),multiply(inverse(C),C))),D)) = multiply(E,multiply(inverse(multiply(inverse(multiply(F,C)),multiply(F,E))),D)). [para(1799(a,2),235(a,1,1,1))].
% 1.72/1.99 2034 multiply(inverse(multiply(inverse(A),multiply(inverse(B),multiply(inverse(B),B)))),multiply(inverse(multiply(C,multiply(inverse(D),multiply(inverse(D),D)))),multiply(C,multiply(inverse(D),multiply(inverse(D),D))))) = multiply(E,multiply(inverse(multiply(inverse(multiply(F,B)),multiply(F,E))),A)). [para(1799(a,2),235(a,1,2))].
% 1.72/1.99 2037 multiply(inverse(multiply(A,multiply(inverse(B),multiply(inverse(B),B)))),multiply(A,C)) = multiply(B,multiply(inverse(multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),multiply(D,multiply(inverse(E),multiply(inverse(E),E))))),C)). [para(1799(a,2),235(a,2,2,1,1))].
% 1.72/1.99 2050 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),multiply(inverse(B),multiply(inverse(multiply(D,multiply(inverse(E),multiply(inverse(E),E)))),multiply(D,multiply(inverse(E),multiply(inverse(E),E)))))) = C. [para(1799(a,2),1519(a,1,2,2))].
% 1.72/1.99 2051 multiply(inverse(A),A) = multiply(inverse(B),B). [para(1519(a,1),1799(a,1,1,1)),rewrite([1519(12)])].
% 1.72/1.99 2058 multiply(inverse(A),A) = c_0. [new_symbol(2051)].
% 1.72/1.99 2059 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),multiply(inverse(B),c_0)) = C. [back_rewrite(2050),rewrite([2058(10),2058(15),2058(17)])].
% 1.72/1.99 2068 multiply(inverse(multiply(A,multiply(inverse(B),c_0))),multiply(A,C)) = multiply(B,multiply(inverse(c_0),C)). [back_rewrite(2037),rewrite([2058(3),2058(10),2058(15),2058(17)])].
% 1.72/1.99 2071 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,A))),D)) = multiply(inverse(multiply(inverse(D),multiply(inverse(C),c_0))),c_0). [back_rewrite(2034),rewrite([2058(4),2058(9),2058(14),2058(16)]),flip(a)].
% 1.72/1.99 2072 multiply(inverse(multiply(inverse(A),multiply(inverse(B),c_0))),c_0) = multiply(inverse(c_0),multiply(inverse(multiply(inverse(B),c_0)),A)). [back_rewrite(2033),rewrite([2058(3),2058(8),2058(10),2058(5),2071(15)]),flip(a)].
% 1.72/1.99 2073 multiply(inverse(c_0),multiply(inverse(multiply(inverse(A),c_0)),B)) = multiply(A,multiply(inverse(c_0),B)). [back_rewrite(2032),rewrite([2058(4),2058(9),2058(11),2068(7),2071(11),2072(12)]),flip(a)].
% 1.72/1.99 2078 multiply(inverse(multiply(A,c_0)),multiply(A,inverse(multiply(inverse(B),c_0)))) = B. [back_rewrite(2021),rewrite([2058(2),2058(7),2058(12),2058(14),2058(10),2058(8)])].
% 1.72/1.99 2093 multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,c_0)) = multiply(inverse(multiply(D,multiply(E,C))),multiply(D,multiply(E,B))). [back_rewrite(1977),rewrite([2058(7),2058(12),2058(14)])].
% 1.72/1.99 2097 multiply(multiply(A,inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),c_0)))),c_0)))),multiply(inverse(multiply(inverse(multiply(inverse(D),E)),B)),multiply(inverse(E),c_0))) = c_0. [back_rewrite(1970),rewrite([2058(2),2058(9),2058(19),2058(29),2058(32),2058(25)]),flip(a)].
% 1.72/1.99 2100 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),multiply(inverse(B),c_0))) = multiply(D,inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,E)),A)),multiply(inverse(E),c_0)))),c_0)))). [back_rewrite(1966),rewrite([2058(8),2058(18),2058(24),2058(29),2058(31)])].
% 1.72/1.99 2102 multiply(A,inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),c_0)))),c_0)))) = inverse(multiply(inverse(multiply(inverse(c_0),B)),multiply(inverse(D),c_0))). [back_rewrite(1958),rewrite([2058(3),2058(8),2058(10),2058(7),2058(17),2058(27),2058(37),2058(40)]),flip(a)].
% 1.72/1.99 2103 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),multiply(inverse(B),c_0))) = inverse(multiply(inverse(multiply(inverse(c_0),C)),multiply(inverse(A),c_0))). [back_rewrite(1957),rewrite([2058(8),2058(14),2058(22),2058(27),2058(32),2058(34),2058(32),2058(40),2058(45),2058(50),2058(52),2058(50),2058(58),2058(62),2058(65),2102(34)])].
% 1.72/1.99 2104 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(A,multiply(inverse(multiply(inverse(D),C)),c_0)). [back_rewrite(1953),rewrite([2058(6),2058(11),2058(13)]),flip(a)].
% 1.72/1.99 2105 multiply(A,multiply(inverse(multiply(inverse(B),C)),c_0)) = multiply(A,multiply(inverse(c_0),multiply(inverse(C),B))). [back_rewrite(1952),rewrite([2058(3),2058(8),2058(10),2104(11)]),flip(a)].
% 1.72/1.99 2110 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(c_0),multiply(inverse(B),D))) = multiply(inverse(multiply(inverse(multiply(A,D)),C)),c_0). [back_rewrite(1942),rewrite([2058(7),2058(12),2058(14),2104(15),2105(16)]),flip(a)].
% 1.72/1.99 2112 multiply(inverse(multiply(inverse(multiply(A,B)),C)),c_0) = multiply(inverse(c_0),multiply(inverse(C),multiply(A,B))). [back_rewrite(1940),rewrite([2058(3),2058(8),2058(10),2104(15),2105(16),2110(16)]),flip(a)].
% 1.72/1.99 2113 multiply(inverse(multiply(A,B)),multiply(A,multiply(C,D))) = multiply(inverse(c_0),multiply(inverse(B),multiply(C,D))). [back_rewrite(1939),rewrite([2058(10),2058(15),2058(17),2105(10),2110(10),2112(6)]),flip(a)].
% 1.72/1.99 2115 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),D) = multiply(inverse(multiply(inverse(multiply(inverse(C),B)),c_0)),D). [back_rewrite(1925),rewrite([2058(6),2058(11),2058(13)]),flip(a)].
% 1.72/1.99 2116 multiply(inverse(multiply(inverse(multiply(inverse(A),B)),c_0)),C) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),A))),C). [back_rewrite(1924),rewrite([2058(3),2058(8),2058(10),2115(13)]),flip(a)].
% 1.72/1.99 2118 inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(c_0),A)),multiply(inverse(multiply(C,D)),c_0)))),c_0))) = multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),c_0)))). [back_rewrite(1916),rewrite([2058(12),2103(14),2058(17),2058(22),2058(24),2058(22)])].
% 1.72/1.99 2122 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(1893),rewrite([2115(9),2116(10),2058(17),2058(22),2058(24)])].
% 1.72/1.99 2123 multiply(inverse(multiply(inverse(A),multiply(B,C))),c_0) = multiply(inverse(c_0),multiply(inverse(multiply(B,C)),A)). [back_rewrite(1892),rewrite([2058(3),2058(8),2058(10),2115(15),2116(16),2122(16)]),flip(a)].
% 1.72/1.99 2125 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D)) = multiply(inverse(c_0),multiply(inverse(multiply(B,C)),D)). [back_rewrite(1888),rewrite([2058(6),2058(11),2058(13),2116(10),2122(10),2123(6)]),flip(a)].
% 1.72/1.99 2126 multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(B),c_0)))) = multiply(inverse(multiply(B,multiply(inverse(c_0),A))),c_0). [back_rewrite(1883),rewrite([2058(3),2125(7),2073(8),2058(7),2058(13),2113(16),2113(16)]),flip(a)].
% 1.72/1.99 2134 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(C),B)),c_0). [back_rewrite(1859),rewrite([2058(6),2058(11),2058(13)]),flip(a)].
% 1.72/1.99 2135 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(inverse(c_0),multiply(inverse(B),A)). [back_rewrite(1858),rewrite([2058(3),2058(8),2058(10),2134(9)]),flip(a)].
% 1.72/1.99 2139 multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),A)),multiply(inverse(multiply(B,C)),c_0))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),A)),multiply(inverse(D),c_0)))),multiply(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),c_0)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),A)),multiply(inverse(D),c_0)))))) = c_0. [back_rewrite(1840),rewrite([2058(9),2103(11),2058(19),2103(21),2058(29),2058(43),2103(45),2058(48),2058(60),2134(65),2134(63),2135(44),2135(47),2135(46),2058(49)])].
% 1.72/1.99 2147 inverse(multiply(inverse(c_0),multiply(inverse(A),c_0))) = A. [back_rewrite(1831),rewrite([2058(3),2058(8),2058(10),2058(5)])].
% 1.72/1.99 2148 multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(A),c_0)))) = B. [back_rewrite(1829),rewrite([2058(3),2058(8),2058(10),2058(9),2103(11),2058(8),2135(6),2147(7),2058(5)]),flip(a)].
% 1.72/1.99 2151 multiply(inverse(c_0),A) = A. [back_rewrite(1805),rewrite([2058(4),2058(9),2058(11),2058(8),2148(11)])].
% 1.72/1.99 2164 multiply(inverse(multiply(inverse(inverse(A)),B)),A) = multiply(inverse(B),c_0). [back_rewrite(1785),rewrite([2134(5),2135(6),2151(6),2134(7),2135(6),2151(6),2058(10),2134(12),2134(10),2135(11),2151(10),2151(8)])].
% 1.72/1.99 2165 multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(B))),C)),B) = multiply(inverse(C),multiply(inverse(A),c_0)). [back_rewrite(1784),rewrite([2134(5),2135(6),2151(6),2134(9),2135(10),2151(10),2058(13),2134(16),2134(14),2135(15),2151(15),2135(15),2151(15)])].
% 1.72/1.99 2188 multiply(inverse(A),c_0) = inverse(A). [back_rewrite(1751),rewrite([2134(5),2135(6),2151(6),2165(7),2058(9),2134(10),2151(6),2135(6),2151(5),2151(3),2058(4)]),flip(a)].
% 1.72/1.99 2221 inverse(multiply(inverse(inverse(multiply(inverse(A),inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(B),C))),D)))))),inverse(multiply(inverse(D),inverse(C))))) = A. [back_rewrite(1717),rewrite([2058(3),2188(3),2134(5),2188(6),2134(11),2188(12),2134(18),2188(19),2134(25),2188(26),2058(28),2188(16),2134(18),2188(19)])].
% 1.72/1.99 2226 multiply(A,c_0) = A. [back_rewrite(1712),rewrite([2058(3),2188(3),2134(5),2188(6),2134(11),2188(12),2058(20),2188(16),2134(18),2221(17)])].
% 1.72/1.99 2301 multiply(A,multiply(inverse(multiply(inverse(multiply(B,inverse(C))),D)),multiply(E,multiply(inverse(inverse(multiply(inverse(E),C))),F)))) = multiply(A,inverse(multiply(inverse(multiply(B,F)),D))). [back_rewrite(1633),rewrite([2058(3),2226(3),2134(9),2226(10),2134(18),2226(19)])].
% 1.72/1.99 2319 multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(multiply(D,E)),B))) = inverse(multiply(inverse(multiply(A,multiply(D,E))),C)). [back_rewrite(1610),rewrite([2058(7),2226(7),2134(13),2226(14),2301(17),2134(15),2226(16)])].
% 1.72/1.99 2637 inverse(multiply(inverse(multiply(A,B)),A)) = inverse(inverse(B)). [back_rewrite(1138),rewrite([2134(11),2226(12),2319(11),2058(4),2151(3),2058(8),2226(6)]),flip(a)].
% 1.72/1.99 2647 inverse(inverse(inverse(multiply(inverse(A),B)))) = inverse(inverse(multiply(inverse(B),A))). [back_rewrite(1119),rewrite([2058(6),2226(6),2637(6),2134(10),2134(8),2226(9),2226(10)]),flip(a)].
% 1.72/1.99 2652 inverse(multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B)))) = inverse(inverse(multiply(C,A))). [back_rewrite(1086),rewrite([2134(4),2226(5),2058(8),2226(8),2058(13),2226(13),2637(13)])].
% 1.72/1.99 2672 inverse(inverse(multiply(A,B))) = multiply(A,B). [back_rewrite(973),rewrite([2134(6),2134(4),2226(5),2226(6),2647(5),2058(10),2226(8),2652(8)])].
% 1.72/1.99 2905 multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(D,C))))) = multiply(A,multiply(D,B)). [back_rewrite(487),rewrite([2134(4),2226(5),2672(4),2058(6),2226(6),2058(14),2226(14),2637(14),2672(10)])].
% 1.72/1.99 3030 inverse(multiply(inverse(multiply(A,B)),C)) = multiply(inverse(C),multiply(A,B)). [back_rewrite(264),rewrite([2134(6),2226(7),2672(6),2058(8),2226(8),2905(9),2134(5),2226(6)])].
% 1.72/1.99 3043 multiply(inverse(A),multiply(inverse(multiply(multiply(multiply(inverse(B),multiply(C,D)),inverse(D)),multiply(multiply(multiply(inverse(B),multiply(C,D)),inverse(D)),inverse(multiply(multiply(inverse(B),multiply(C,D)),inverse(D)))))),multiply(inverse(B),E))) = inverse(multiply(multiply(inverse(E),C),A)). [back_rewrite(247),rewrite([2058(5),2226(5),2134(7),2672(4),2226(6),3030(12),2058(14),2226(14),2672(15),3030(17),2058(19),2226(19),2672(20),3030(22),2058(24),2226(24),3030(28)]),flip(a)].
% 1.72/1.99 3050 multiply(A,multiply(multiply(inverse(A),B),C)) = inverse(multiply(inverse(C),inverse(B))). [back_rewrite(235),rewrite([2058(3),2226(3),2134(5),2226(6),2134(8),2226(9),2672(8)]),flip(a)].
% 1.72/1.99 3075 inverse(multiply(inverse(A),inverse(multiply(B,C)))) = multiply(B,inverse(multiply(inverse(A),inverse(C)))). [back_rewrite(192),rewrite([3030(5),2058(12),2226(10),3030(10),2672(3),3050(7),2058(9),2226(9)])].
% 1.72/1.99 3079 multiply(multiply(inverse(A),B),C) = multiply(inverse(A),multiply(B,C)). [back_rewrite(188),rewrite([3030(7),2058(9),2226(9),2672(10),3030(12),2058(14),2226(14),2672(15),3030(17),2058(19),2226(19),3030(23),2134(26),3043(24),2672(5),2226(5)])].
% 1.72/1.99 3094 multiply(multiply(A,B),multiply(inverse(B),C)) = multiply(A,inverse(inverse(C))). [back_rewrite(132),rewrite([3030(4),3079(6),2058(10),2226(10),2637(10),2672(6),2058(8),2226(8),2637(8)])].
% 1.72/1.99 3095 inverse(multiply(inverse(A),multiply(B,inverse(B)))) = A. [back_rewrite(101),rewrite([2134(4),2226(5),2672(4),2058(5),2226(5),3079(4)])].
% 1.72/1.99 3100 inverse(multiply(inverse(A),multiply(inverse(B),multiply(C,inverse(C))))) = inverse(multiply(inverse(A),inverse(B))). [back_rewrite(63),rewrite([3030(5),2058(7),2226(7),3079(6),3079(5),2058(14),2226(14),2058(20),2226(20),2058(26),2226(26),2058(28),2226(18),3075(18),2672(15),2134(17),2672(14),3079(13),3079(12),2058(11),2226(11),2226(13)])].
% 1.72/1.99 3109 multiply(A,multiply(multiply(B,C),D)) = multiply(A,multiply(B,inverse(multiply(inverse(D),inverse(C))))). [back_rewrite(53),rewrite([3030(4),3030(7),3079(7),3079(8),3094(7),2672(5),2058(9),2226(9),2637(9),2672(5),2058(7),2226(7)])].
% 1.72/1.99 3115 multiply(A,inverse(multiply(inverse(B),inverse(C)))) = multiply(A,multiply(inverse(inverse(C)),B)). [back_rewrite(44),rewrite([2058(7),2226(7),2058(13),2226(13),2058(19),2226(19),2058(21),2226(11),3075(11),2672(8),2134(7),2226(6),2672(5),2058(8),2226(8)]),flip(a)].
% 1.72/1.99 3128 inverse(inverse(A)) = A. [back_rewrite(17),rewrite([2058(6),2226(6),3115(7),2134(7),2164(5),2226(3),2226(4)])].
% 1.72/1.99 3147 inverse(multiply(inverse(A),inverse(B))) = multiply(B,A). [back_rewrite(2072),rewrite([2226(4),2226(6),2226(9),3128(8),2151(8)])].
% 1.72/1.99 3149 multiply(inverse(A),multiply(A,B)) = B. [back_rewrite(2078),rewrite([2226(2),2226(4),3128(3)])].
% 1.72/1.99 3151 multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(A,inverse(multiply(D,inverse(D)))))))) = multiply(C,B). [back_rewrite(2100),rewrite([3030(5),2226(7),3079(6),3079(5),3100(7),3147(4),3030(6),2226(8),3079(7),3109(7),3128(5),3128(10),2226(10)]),flip(a)].
% 1.72/1.99 3153 multiply(A,inverse(A)) = c_0. [back_rewrite(2097),rewrite([3030(5),2226(7),3079(6),3109(6),3128(4),3128(9),2226(9),3151(10),3030(6),2226(8),3079(7),3079(6),3094(8),3095(5)])].
% 1.72/1.99 3166 inverse(multiply(inverse(A),multiply(B,C))) = multiply(inverse(C),multiply(inverse(B),A)). [back_rewrite(1039),rewrite([3030(5),3079(5),3109(5),3147(6),3109(4),3147(5),2134(12),3030(11),2226(12),2134(11),2134(7),2134(5),2226(6),3128(5),2226(5),2226(6),2134(12),2134(10),2226(11),3128(10),2226(10),2134(10),3030(9),2226(10)])].
% 1.72/1.99 3172 multiply(inverse(multiply(A,B)),C) = multiply(inverse(B),multiply(inverse(A),C)). [back_rewrite(1003),rewrite([2134(7),2226(8),3128(7),3079(6),3166(7),2134(13),2134(11),2226(12),3128(11),2226(11),3079(10),3094(9),3128(7),2058(6),2226(6),3128(5),2134(5),3166(4),2226(6)]),flip(a)].
% 1.72/1.99 3176 inverse(multiply(inverse(A),B)) = multiply(inverse(B),A). [back_rewrite(2093),rewrite([2226(6),3172(5),2058(5),2226(5),3172(9),3149(9),3172(7),3149(7)])].
% 1.72/1.99 3178 multiply(multiply(A,B),inverse(B)) = A. [back_rewrite(2059),rewrite([3172(5),3149(5),3176(4),3128(2),2226(4)])].
% 1.72/1.99 3181 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [back_rewrite(2126),rewrite([2226(8),2151(8),2151(6),2151(6),2226(7)]),flip(a)].
% 1.72/1.99 3182 inverse(c_0) = c_0. [back_rewrite(2139),rewrite([2151(7),3181(7),2226(10),3181(10),3181(8),3128(6),3128(6),3128(7),3181(8),3079(10),3181(11),3181(9),3128(9),3128(10),3079(9),3079(10),3109(10),3181(11),3128(9),3128(9),3181(11),3181(9),3181(8),3079(11),3128(13),3079(12),3079(11),2226(15),3079(14),3079(13),3178(12),3094(12),3181(9),3128(7),3128(7),3181(7),3094(9),3128(6),3153(6),2226(10),3181(10),3128(8),3128(8),3181(10),3079(12),3181(13),3181(11),3128(11),3128(12),3079(11),3079(12),3109(12),3181(13),3128(11),3128(11),3181(13),3181(11),3181(10),3079(13),3128(15),3079(14),3079(13),2226(17),3079(16),3079(15),3178(14),3109(15),3181(12),3181(10),3128(8),3128(8),3128(9),3181(10),3094(12),3128(9),3178(9),3153(8),2226(8),2151(7),2151(5)])].
% 1.72/1.99 3183 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)). [back_rewrite(2118),rewrite([3181(3),3128(3),3182(4),3181(5),3182(5),2226(5),3181(5),2226(8),3181(8),3181(6),3128(4),3128(4),3128(5),3181(5),3181(5),2226(9),3094(8),3181(5),3128(3),3128(3),3181(3),3181(6),3181(4),3128(2),3128(2),3128(3),2226(6),3181(6),3128(4),3128(4)])].
% 1.72/1.99 3184 $F # answer(prove_these_axioms_3). [resolve(3183,a,2,a)].
% 1.72/1.99
% 1.72/1.99 % SZS output end Refutation
% 1.72/1.99 ============================== end of proof ==========================
% 1.72/1.99
% 1.72/1.99 ============================== STATISTICS ============================
% 1.72/1.99
% 1.72/1.99 Given=27. Generated=7637. Kept=3183. proofs=1.
% 1.72/1.99 Usable=1. Sos=27. Demods=810. Limbo=1037, Disabled=2119. Hints=0.
% 1.72/1.99 Megabytes=9.06.
% 1.72/1.99 User_CPU=1.04, System_CPU=0.01, Wall_clock=1.
% 1.72/1.99
% 1.72/1.99 ============================== end of statistics =====================
% 1.72/1.99
% 1.72/1.99 ============================== end of search =========================
% 1.72/1.99
% 1.72/1.99 THEOREM PROVED
% 1.72/1.99 % SZS status Unsatisfiable
% 1.72/1.99
% 1.72/1.99 Exiting with 1 proof.
% 1.72/1.99
% 1.72/1.99 Process 6509 exit (max_proofs) Tue Jun 14 08:16:11 2022
% 1.72/1.99 Prover9 interrupted
%------------------------------------------------------------------------------