TSTP Solution File: GRP422-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP422-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:19:01 EDT 2022
% Result : Unsatisfiable 1.96s 2.27s
% Output : Refutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP422-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 21:45:51 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.96/2.27 ============================== Prover9 ===============================
% 1.96/2.27 Prover9 (32) version 2009-11A, November 2009.
% 1.96/2.27 Process 2625 was started by sandbox on n023.cluster.edu,
% 1.96/2.27 Mon Jun 13 21:45:51 2022
% 1.96/2.27 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2472_n023.cluster.edu".
% 1.96/2.27 ============================== end of head ===========================
% 1.96/2.27
% 1.96/2.27 ============================== INPUT =================================
% 1.96/2.27
% 1.96/2.27 % Reading from file /tmp/Prover9_2472_n023.cluster.edu
% 1.96/2.27
% 1.96/2.27 set(prolog_style_variables).
% 1.96/2.27 set(auto2).
% 1.96/2.27 % set(auto2) -> set(auto).
% 1.96/2.27 % set(auto) -> set(auto_inference).
% 1.96/2.27 % set(auto) -> set(auto_setup).
% 1.96/2.27 % set(auto_setup) -> set(predicate_elim).
% 1.96/2.27 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.96/2.27 % set(auto) -> set(auto_limits).
% 1.96/2.27 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.96/2.27 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.96/2.27 % set(auto) -> set(auto_denials).
% 1.96/2.27 % set(auto) -> set(auto_process).
% 1.96/2.27 % set(auto2) -> assign(new_constants, 1).
% 1.96/2.27 % set(auto2) -> assign(fold_denial_max, 3).
% 1.96/2.27 % set(auto2) -> assign(max_weight, "200.000").
% 1.96/2.27 % set(auto2) -> assign(max_hours, 1).
% 1.96/2.27 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.96/2.27 % set(auto2) -> assign(max_seconds, 0).
% 1.96/2.27 % set(auto2) -> assign(max_minutes, 5).
% 1.96/2.27 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.96/2.27 % set(auto2) -> set(sort_initial_sos).
% 1.96/2.27 % set(auto2) -> assign(sos_limit, -1).
% 1.96/2.27 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.96/2.27 % set(auto2) -> assign(max_megs, 400).
% 1.96/2.27 % set(auto2) -> assign(stats, some).
% 1.96/2.27 % set(auto2) -> clear(echo_input).
% 1.96/2.27 % set(auto2) -> set(quiet).
% 1.96/2.27 % set(auto2) -> clear(print_initial_clauses).
% 1.96/2.27 % set(auto2) -> clear(print_given).
% 1.96/2.27 assign(lrs_ticks,-1).
% 1.96/2.27 assign(sos_limit,10000).
% 1.96/2.27 assign(order,kbo).
% 1.96/2.27 set(lex_order_vars).
% 1.96/2.27 clear(print_given).
% 1.96/2.27
% 1.96/2.27 % formulas(sos). % not echoed (2 formulas)
% 1.96/2.27
% 1.96/2.27 ============================== end of input ==========================
% 1.96/2.27
% 1.96/2.27 % From the command line: assign(max_seconds, 300).
% 1.96/2.27
% 1.96/2.27 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.96/2.27
% 1.96/2.27 % Formulas that are not ordinary clauses:
% 1.96/2.27
% 1.96/2.27 ============================== end of process non-clausal formulas ===
% 1.96/2.27
% 1.96/2.27 ============================== PROCESS INITIAL CLAUSES ===============
% 1.96/2.27
% 1.96/2.27 ============================== PREDICATE ELIMINATION =================
% 1.96/2.27
% 1.96/2.27 ============================== end predicate elimination =============
% 1.96/2.27
% 1.96/2.27 Auto_denials:
% 1.96/2.27 % copying label prove_these_axioms_2 to answer in negative clause
% 1.96/2.27
% 1.96/2.27 Term ordering decisions:
% 1.96/2.27
% 1.96/2.27 % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 1.96/2.27 Function symbol KB weights: a2=1. b2=1. multiply=1. inverse=0.
% 1.96/2.27
% 1.96/2.27 ============================== end of process initial clauses ========
% 1.96/2.27
% 1.96/2.27 ============================== CLAUSES FOR SEARCH ====================
% 1.96/2.27
% 1.96/2.27 ============================== end of clauses for search =============
% 1.96/2.27
% 1.96/2.27 ============================== SEARCH ================================
% 1.96/2.27
% 1.96/2.27 % Starting search at 0.01 seconds.
% 1.96/2.27
% 1.96/2.27 ============================== PROOF =================================
% 1.96/2.27 % SZS status Unsatisfiable
% 1.96/2.27 % SZS output start Refutation
% 1.96/2.27
% 1.96/2.27 % Proof 1 at 1.25 (+ 0.01) seconds: prove_these_axioms_2.
% 1.96/2.27 % Length of proof is 226.
% 1.96/2.27 % Level of proof is 60.
% 1.96/2.27 % Maximum clause weight is 182.000.
% 1.96/2.27 % Given clauses 35.
% 1.96/2.27
% 1.96/2.27 1 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = B # label(single_axiom) # label(axiom). [assumption].
% 1.96/2.27 2 multiply(multiply(inverse(b2),b2),a2) != a2 # label(prove_these_axioms_2) # label(negated_conjecture) # answer(prove_these_axioms_2). [assumption].
% 1.96/2.27 3 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))). [para(1(a,1),1(a,1,1,1,1,2,1,1)),flip(a)].
% 1.96/2.27 4 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(C,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))))))))),multiply(A,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))))) = B. [para(1(a,1),1(a,1,1,1,1,2,1,2,1)),rewrite([1(14)])].
% 1.96/2.27 5 multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(C,B)),multiply(C,A))). [para(1(a,1),1(a,1,1,1,1,2)),flip(a)].
% 1.96/2.27 7 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(D),multiply(inverse(multiply(A,C)),inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))))),inverse(multiply(inverse(multiply(E,inverse(multiply(B,multiply(inverse(F),inverse(multiply(inverse(F),F))))))),multiply(E,F))))) = D. [para(3(a,1),1(a,1,1,2))].
% 1.96/2.27 8 inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B. [para(3(a,1),1(a,1,1))].
% 1.96/2.27 9 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(multiply(inverse(multiply(E,inverse(multiply(inverse(B),multiply(inverse(F),inverse(multiply(inverse(F),F))))))),multiply(E,F)),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(D,V6))). [para(3(a,2),1(a,1,1,1,1,2,1,1)),flip(a)].
% 1.96/2.27 12 multiply(inverse(A),inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(C,multiply(inverse(multiply(D,inverse(multiply(inverse(B),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E)))),multiply(C,A))). [para(3(a,2),1(a,1,1,1,1,2)),flip(a)].
% 1.96/2.27 13 multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = B. [para(3(a,2),1(a,1))].
% 1.96/2.27 48 inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C))))) = B. [para(5(a,1),1(a,1,1,1,1))].
% 1.96/2.27 54 multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(A),A)))))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = B. [para(5(a,2),1(a,1))].
% 1.96/2.27 60 multiply(inverse(multiply(A,inverse(multiply(multiply(inverse(B),inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(A,D)) = inverse(multiply(inverse(multiply(E,inverse(multiply(multiply(inverse(multiply(F,C)),multiply(F,B)),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(E,V6))). [para(5(a,2),3(a,1,1,1,2,1,1))].
% 1.96/2.27 64 multiply(inverse(multiply(A,multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))))))),multiply(A,B)) = inverse(multiply(inverse(multiply(D,inverse(multiply(multiply(inverse(B),C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))). [para(5(a,2),3(a,1,1,1,2))].
% 1.96/2.27 68 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = multiply(inverse(D),inverse(multiply(inverse(inverse(multiply(B,multiply(inverse(D),inverse(multiply(inverse(D),D)))))),multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))). [para(5(a,2),3(a,2))].
% 1.96/2.27 81 inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,multiply(inverse(A),inverse(multiply(inverse(A),A)))))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))))))) = B. [para(5(a,2),8(a,1,1))].
% 1.96/2.27 82 multiply(A,inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(C,inverse(multiply(A,multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(C,D)))))),inverse(multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(C,inverse(multiply(A,multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(C,D)))))),inverse(multiply(A,inverse(multiply(inverse(multiply(C,inverse(multiply(A,multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(C,D))))))))))) = inverse(multiply(inverse(multiply(E,B)),multiply(E,inverse(multiply(inverse(multiply(C,inverse(multiply(A,multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(C,D)))))). [para(8(a,1),5(a,1,1)),rewrite([8(14),8(29),8(44)])].
% 1.96/2.27 83 multiply(inverse(A),inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))))),multiply(C,A))). [para(8(a,1),5(a,1,2,1,1))].
% 1.96/2.27 84 multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)))),multiply(inverse(C),inverse(multiply(inverse(C),C)))) = B. [para(5(a,1),13(a,1,1,1))].
% 1.96/2.27 91 inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(D,B)),multiply(D,C))). [para(5(a,1),5(a,1))].
% 1.96/2.27 103 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(91(a,1),1(a,1,1,1,1,2,1,1)),rewrite([1(17)])].
% 1.96/2.27 106 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(E,D)),multiply(E,D)))))))),multiply(A,multiply(C,D)))) = B. [para(91(a,1),1(a,1,1,1,1,2,1,2,2))].
% 1.96/2.27 107 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(D),D))))))),multiply(A,D))) = multiply(inverse(D),C). [para(91(a,1),1(a,1,1,1,1,2))].
% 1.96/2.27 112 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(E,D)),multiply(E,D)))))))),multiply(A,multiply(C,D))) = inverse(multiply(inverse(multiply(F,inverse(multiply(B,multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))). [para(91(a,1),3(a,1,1,1,2,1,2,2))].
% 1.96/2.27 116 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(inverse(multiply(E,F)),inverse(multiply(inverse(multiply(V6,F)),multiply(V6,F)))))))),multiply(D,multiply(E,F)))). [para(91(a,1),3(a,2,1,1,1,2,1,2,2))].
% 1.96/2.27 121 inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(E,D)),multiply(E,D)))))))),multiply(A,multiply(C,D))))) = B. [para(91(a,1),8(a,1,1,1,1,1,2,1,2,2))].
% 1.96/2.27 124 multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(E,D)),multiply(E,D)))))))),multiply(A,multiply(C,D))) = B. [para(91(a,1),13(a,1,1,1,2,1,2,2))].
% 1.96/2.27 127 multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(E,multiply(inverse(multiply(F,C)),multiply(F,D)))),multiply(E,A))). [para(91(a,1),5(a,1,2,1,1))].
% 1.96/2.27 139 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),E))) = inverse(multiply(inverse(multiply(F,multiply(D,C))),multiply(F,E))). [para(91(a,1),91(a,1,1,1))].
% 1.96/2.27 149 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(C,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))))))))),multiply(A,inverse(multiply(inverse(multiply(F,inverse(multiply(C,multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6)))))) = B. [para(3(a,1),4(a,1,1,2,2))].
% 1.96/2.27 151 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(multiply(inverse(multiply(E,inverse(multiply(inverse(B),multiply(inverse(F),inverse(multiply(inverse(F),F))))))),multiply(E,F)),multiply(V6,inverse(multiply(V6,multiply(inverse(multiply(V7,inverse(multiply(inverse(V6),multiply(inverse(V8),inverse(multiply(inverse(V8),V8))))))),multiply(V7,V8))))))))),multiply(D,multiply(inverse(multiply(V7,inverse(multiply(inverse(V6),multiply(inverse(V8),inverse(multiply(inverse(V8),V8))))))),multiply(V7,V8))))). [para(3(a,2),4(a,1,1,1,1,2,1,1)),flip(a)].
% 1.96/2.27 161 inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(C,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(E,inverse(multiply(E,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))))))),multiply(D,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))))))))),multiply(A,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(E,inverse(multiply(E,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))))))),multiply(D,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6)))))))) = B. [para(4(a,1),8(a,1,1,1,1,1,2,1,2,1)),rewrite([4(35)])].
% 1.96/2.27 165 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = multiply(inverse(multiply(D,inverse(multiply(inverse(B),multiply(E,inverse(multiply(E,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))))))),multiply(D,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6)))). [para(4(a,1),13(a,1,1,1,2,1,1,1))].
% 1.96/2.27 174 multiply(inverse(multiply(A,B)),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(multiply(inverse(C),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),multiply(E,inverse(multiply(E,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))))))),multiply(D,multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))). [para(5(a,2),4(a,1,1,1,1,2,1,1)),flip(a)].
% 1.96/2.27 197 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(C,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))))))))),multiply(A,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E)))) = inverse(multiply(inverse(multiply(F,inverse(multiply(B,multiply(V6,inverse(multiply(V6,multiply(inverse(multiply(V7,inverse(multiply(inverse(V6),multiply(inverse(V8),inverse(multiply(inverse(V8),V8))))))),multiply(V7,V8))))))))),multiply(F,multiply(inverse(multiply(V7,inverse(multiply(inverse(V6),multiply(inverse(V8),inverse(multiply(inverse(V8),V8))))))),multiply(V7,V8))))). [para(4(a,1),4(a,1,1,1,1,2,1,1)),flip(a)].
% 1.96/2.27 200 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D)) = multiply(E,multiply(inverse(multiply(B,inverse(multiply(inverse(E),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),D)). [para(1(a,1),103(a,1,1)),flip(a)].
% 1.96/2.27 212 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E)))) = inverse(multiply(inverse(multiply(F,C)),multiply(F,multiply(A,E)))). [para(103(a,1),91(a,1,1,2))].
% 1.96/2.27 213 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(91(a,1),103(a,1,1))].
% 1.96/2.27 215 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(C,multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E))))))))),multiply(A,multiply(inverse(multiply(F,inverse(multiply(inverse(C),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(F,E))))) = B. [para(103(a,1),4(a,1,1,1,1,2,1,2,2,1,2))].
% 1.96/2.27 219 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(103(a,1),103(a,1,2))].
% 1.96/2.27 225 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(E,inverse(multiply(E,multiply(inverse(inverse(multiply(inverse(multiply(F,E)),multiply(F,V6)))),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))))))),multiply(D,multiply(inverse(inverse(multiply(inverse(multiply(F,E)),multiply(F,V6)))),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))). [para(48(a,1),3(a,2,1,1,1,2,1,2,1)),rewrite([48(25)])].
% 1.96/2.27 230 inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(C,multiply(inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,E)))),multiply(inverse(E),inverse(multiply(inverse(E),E))))))))))),multiply(A,multiply(inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,E)))),multiply(inverse(E),inverse(multiply(inverse(E),E)))))))) = B. [para(48(a,1),8(a,1,1,1,1,1,2,1,2,1)),rewrite([48(13)])].
% 1.96/2.27 231 inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(inverse(multiply(inverse(multiply(D,B)),multiply(D,C)))). [para(48(a,1),8(a,1,1,1,1,1,2))].
% 1.96/2.27 237 multiply(inverse(A),inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(C,multiply(inverse(inverse(multiply(inverse(multiply(D,B)),multiply(D,E)))),multiply(inverse(E),inverse(multiply(inverse(E),E)))))),multiply(C,A))). [para(48(a,1),5(a,1,2,1,1))].
% 1.96/2.27 238 multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(B),B)))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(C,multiply(inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,B)))),A))). [para(48(a,1),5(a,2,1,1))].
% 1.96/2.27 250 multiply(inverse(multiply(A,multiply(inverse(B),inverse(multiply(inverse(B),B))))),multiply(A,C)) = multiply(D,multiply(inverse(inverse(multiply(inverse(multiply(E,D)),multiply(E,B)))),C)). [para(48(a,1),103(a,1,1)),flip(a)].
% 1.96/2.27 251 inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E))))),multiply(inverse(multiply(A,E)),inverse(multiply(inverse(multiply(A,E)),multiply(A,E)))))) = C. [para(103(a,1),48(a,1,1,1,1,1,2))].
% 1.96/2.27 252 multiply(inverse(A),inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(multiply(C,B)),multiply(C,A)))),D)))),multiply(inverse(D),inverse(multiply(inverse(D),D))))). [para(48(a,1),48(a,1,1,1,1,1,1)),flip(a)].
% 1.96/2.27 260 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(multiply(E,F)),multiply(E,V6)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(V7,F)),multiply(V7,V6)))),inverse(multiply(inverse(multiply(E,F)),multiply(E,V6)))))))))),multiply(D,inverse(multiply(inverse(multiply(E,F)),multiply(E,V6)))))). [para(231(a,1),3(a,2,1,1,1,2,1,2,2,1,1))].
% 1.96/2.27 263 inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,E)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(F,D)),multiply(F,E)))),inverse(multiply(inverse(multiply(F,D)),multiply(F,E)))))))))),multiply(A,inverse(multiply(inverse(multiply(F,D)),multiply(F,E))))))) = B. [para(231(a,1),8(a,1,1,1,1,1,2,1,2,1))].
% 1.96/2.27 265 multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,E)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(F,D)),multiply(F,E)))),inverse(multiply(inverse(multiply(F,D)),multiply(F,E)))))))))),multiply(A,inverse(multiply(inverse(multiply(F,D)),multiply(F,E))))) = B. [para(231(a,1),13(a,1,1,1,2,1,2,1))].
% 1.96/2.27 280 inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),inverse(multiply(inverse(B),B))))),multiply(A,C)))) = inverse(inverse(multiply(D,multiply(inverse(inverse(multiply(inverse(multiply(E,D)),multiply(E,B)))),C)))). [para(48(a,1),231(a,1,1,1,1)),flip(a)].
% 1.96/2.27 346 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(D),multiply(inverse(multiply(A,C)),inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))))),inverse(multiply(inverse(E),multiply(inverse(B),inverse(multiply(inverse(B),B))))))),inverse(multiply(inverse(multiply(F,inverse(multiply(D,multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))) = E. [para(13(a,1),7(a,1,1,1,1,2,1,2,1,1)),rewrite([13(39),13(40)])].
% 1.96/2.27 352 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))),inverse(multiply(inverse(inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))),inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))))))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))))))),inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))))))),inverse(multiply(inverse(multiply(E,C)),multiply(E,A)))))))))),inverse(multiply(inverse(multiply(F,inverse(multiply(B,multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))) = D. [para(5(a,1),7(a,1,1,1,1,2,1,2,2,1,2))].
% 1.96/2.27 368 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(C,multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(B,D))))),multiply(A,E))) = inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,inverse(multiply(inverse(C),multiply(inverse(V7),inverse(multiply(inverse(V7),V7))))))),inverse(multiply(inverse(F),multiply(inverse(multiply(V6,V7)),inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,V7)))))))),E))). [para(7(a,1),91(a,1,1,1)),flip(a)].
% 1.96/2.27 373 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(E),multiply(inverse(multiply(A,D)),inverse(multiply(inverse(multiply(A,D)),multiply(A,D)))))))),inverse(multiply(inverse(multiply(F,inverse(multiply(multiply(inverse(D),C),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))) = E. [para(91(a,1),7(a,1,1,1,1,1,1,2))].
% 1.96/2.27 377 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))))),inverse(multiply(inverse(multiply(F,inverse(multiply(B,multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))))) = multiply(inverse(multiply(A,C)),E). [para(91(a,1),7(a,1,1,1,1,2))].
% 1.96/2.27 391 inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(C,multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(B,D))))),multiply(A,E)))) = inverse(inverse(multiply(F,multiply(inverse(multiply(inverse(multiply(V6,inverse(multiply(inverse(C),multiply(inverse(V7),inverse(multiply(inverse(V7),V7))))))),inverse(multiply(inverse(F),multiply(inverse(multiply(V6,V7)),inverse(multiply(inverse(multiply(V6,V7)),multiply(V6,V7)))))))),E)))). [para(7(a,1),231(a,1,1,1,1)),flip(a)].
% 1.96/2.27 398 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = multiply(inverse(inverse(multiply(D,multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(B),multiply(inverse(F),inverse(multiply(inverse(F),F))))))),inverse(multiply(inverse(D),multiply(inverse(multiply(E,F)),inverse(multiply(inverse(multiply(E,F)),multiply(E,F)))))))),V6)))),multiply(inverse(V6),inverse(multiply(inverse(V6),V6)))). [para(7(a,1),84(a,1,1,1,1,1)),flip(a)].
% 1.96/2.27 419 inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))))))) = inverse(inverse(multiply(inverse(multiply(D,multiply(inverse(inverse(multiply(inverse(A),A))),C))),multiply(D,A)))). [para(107(a,1),8(a,1,1,1,1,1,2)),flip(a)].
% 1.96/2.27 421 multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(A,D)) = multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(F,C)),multiply(F,inverse(multiply(inverse(B),B))))))),multiply(E,B)). [para(107(a,1),13(a,1,1,1,2,1,1,1))].
% 1.96/2.27 425 multiply(inverse(A),inverse(multiply(multiply(inverse(B),C),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(D,multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(F,C)),multiply(F,inverse(multiply(inverse(B),B))))))),multiply(E,B)))),multiply(D,A))). [para(107(a,1),5(a,1,2,1,1))].
% 1.96/2.27 426 inverse(multiply(inverse(multiply(A,multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))))))),multiply(A,B))) = multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),D)). [para(107(a,1),5(a,1,2)),flip(a)].
% 1.96/2.27 429 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),inverse(multiply(inverse(multiply(D,multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))),multiply(D,B))))))),multiply(A,multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),C). [para(5(a,1),107(a,1,1,1,1,2,1,2))].
% 1.96/2.27 430 inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(D),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))),inverse(multiply(inverse(D),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))))))))),inverse(multiply(inverse(multiply(E,D)),multiply(E,A))))) = multiply(inverse(inverse(multiply(inverse(D),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))),C). [para(5(a,1),107(a,1,1,2))].
% 1.96/2.27 436 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),multiply(inverse(multiply(E,C)),inverse(multiply(inverse(F),F))))))),multiply(A,F))) = multiply(inverse(F),multiply(E,D)). [para(91(a,1),107(a,1,1,1,1,2,1,1))].
% 1.96/2.27 441 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(inverse(multiply(A,E)),multiply(A,E)))))))),multiply(inverse(multiply(F,B)),multiply(F,E)))) = multiply(inverse(multiply(A,E)),D). [para(103(a,1),107(a,1,1,2))].
% 1.96/2.27 444 multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(B),B)))) = inverse(multiply(inverse(multiply(C,inverse(multiply(D,multiply(inverse(inverse(multiply(inverse(multiply(E,D)),multiply(E,B)))),inverse(multiply(inverse(A),A))))))),multiply(C,A))). [para(48(a,1),107(a,1,1,1,1,2,1,1)),flip(a)].
% 1.96/2.27 448 multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),D) = multiply(inverse(inverse(multiply(inverse(multiply(E,B)),multiply(E,C)))),D). [para(231(a,1),107(a,2,1)),rewrite([107(28)])].
% 1.96/2.27 577 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(C),B)),D)) = multiply(E,multiply(inverse(inverse(multiply(inverse(multiply(F,E)),multiply(F,C)))),D)). [para(48(a,1),213(a,2,1))].
% 1.96/2.27 837 multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(inverse(A),multiply(inverse(multiply(E,C)),multiply(E,D))). [para(219(a,1),107(a,1,1,1,1,2,1,1,1)),rewrite([436(21)])].
% 1.96/2.27 864 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(219(a,1),213(a,1))].
% 1.96/2.27 868 multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E)))),multiply(inverse(multiply(F,C)),V6))),multiply(inverse(multiply(V7,multiply(F,multiply(A,E)))),V8)) = multiply(inverse(multiply(V9,multiply(V7,V6))),multiply(V9,V8)). [para(219(a,2),213(a,1,1,1,1,1))].
% 1.96/2.27 870 multiply(inverse(multiply(inverse(multiply(A,multiply(B,multiply(C,D)))),multiply(A,E))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,F)),V6)),multiply(inverse(multiply(V7,F)),multiply(V7,D)))),V8)) = multiply(inverse(multiply(V9,multiply(inverse(multiply(B,V6)),E))),multiply(V9,V8)). [para(219(a,2),213(a,1,2,1,1))].
% 1.96/2.27 919 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(A,multiply(inverse(multiply(E,C)),multiply(E,D))). [para(1(a,1),837(a,1,1)),rewrite([1(18)])].
% 1.96/2.27 1017 multiply(A,multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,D)))),E)),multiply(inverse(inverse(multiply(inverse(multiply(F,C)),multiply(F,D)))),V6))) = multiply(A,multiply(inverse(multiply(V7,E)),multiply(V7,V6))). [para(448(a,1),919(a,1,2,1,1))].
% 1.96/2.27 1074 inverse(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,D))))) = inverse(inverse(multiply(inverse(multiply(E,multiply(F,C))),multiply(E,multiply(F,D))))). [para(864(a,1),231(a,1,1,1))].
% 1.96/2.27 1127 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(864(a,1),919(a,1,2))].
% 1.96/2.27 1522 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D)))),multiply(A,E))),multiply(inverse(multiply(F,multiply(inverse(multiply(V6,C)),multiply(V6,D)))),V7))) = inverse(multiply(inverse(multiply(V8,multiply(F,E))),multiply(V8,V7))). [para(919(a,1),139(a,1,1,1,1,1,1))].
% 1.96/2.27 1529 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,D)))),multiply(inverse(multiply(E,multiply(F,C))),V6))) = inverse(multiply(inverse(multiply(inverse(multiply(V7,V8)),multiply(V7,multiply(F,D)))),multiply(inverse(multiply(E,V8)),V6))). [para(864(a,1),139(a,2,1,1,1)),flip(a)].
% 1.96/2.27 1610 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))),E)),multiply(inverse(multiply(F,multiply(inverse(multiply(B,V6)),D))),multiply(F,V7)))) = inverse(multiply(inverse(multiply(V8,E)),multiply(V8,multiply(inverse(multiply(inverse(multiply(V9,V6)),multiply(V9,C))),V7)))). [para(213(a,1),212(a,1,1,1,1,1,1))].
% 1.96/2.27 1616 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),E))),F)),multiply(inverse(multiply(V6,multiply(V7,E))),multiply(V6,V8)))) = inverse(multiply(inverse(multiply(V9,F)),multiply(V9,multiply(inverse(multiply(V7,multiply(D,C))),V8)))). [para(213(a,2),212(a,1,1,1,1,1,1))].
% 1.96/2.27 1649 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,B)),multiply(D,E)))),F)),multiply(inverse(multiply(V6,multiply(V7,multiply(A,E)))),multiply(V6,V8)))) = inverse(multiply(inverse(multiply(V9,F)),multiply(V9,multiply(inverse(multiply(V7,C)),V8)))). [para(219(a,2),212(a,1,1,1,1,1,1))].
% 1.96/2.27 1650 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,multiply(C,D)))),E)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,F)),V6)),multiply(inverse(multiply(V7,F)),multiply(V7,D)))),multiply(inverse(multiply(B,V6)),V8)))) = inverse(multiply(inverse(multiply(V9,E)),multiply(V9,multiply(A,V8)))). [para(219(a,2),212(a,1,1,2,1,1))].
% 1.96/2.27 1730 inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),D))),multiply(A,multiply(inverse(multiply(inverse(multiply(E,F)),C)),multiply(inverse(multiply(V6,F)),multiply(V6,V7))))))) = inverse(inverse(multiply(inverse(multiply(V8,multiply(V9,D))),multiply(V8,multiply(V9,multiply(B,multiply(E,V7))))))). [para(219(a,2),1074(a,1,1,1,2,2))].
% 1.96/2.27 1735 inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,D)))),multiply(inverse(multiply(E,multiply(F,C))),multiply(E,V6))))) = inverse(inverse(multiply(inverse(multiply(V7,multiply(V8,multiply(F,D)))),multiply(V7,multiply(V8,V6))))). [para(864(a,1),1074(a,1,1,1,1,1))].
% 1.96/2.27 2015 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,F))))),multiply(inverse(multiply(V6,B)),multiply(V6,V7))) = multiply(inverse(multiply(V8,multiply(inverse(multiply(V9,multiply(V10,E))),multiply(V9,multiply(V10,F))))),multiply(V8,multiply(A,V7))). [para(1127(a,1),219(a,1,1,1))].
% 1.96/2.27 2020 multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),multiply(inverse(multiply(E,C)),F))),multiply(inverse(multiply(V6,D)),multiply(V6,multiply(B,V7))))) = multiply(A,multiply(inverse(multiply(V8,multiply(V9,F))),multiply(V8,multiply(V9,multiply(E,V7))))). [para(219(a,1),1127(a,1,2,2))].
% 1.96/2.27 2039 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),multiply(inverse(multiply(E,multiply(F,V6))),multiply(E,multiply(F,V7)))))) = inverse(multiply(inverse(multiply(V8,multiply(D,C))),multiply(V8,multiply(inverse(multiply(V9,multiply(V10,V6))),multiply(V9,multiply(V10,V7)))))). [para(1127(a,1),139(a,1,1,2))].
% 1.96/2.27 2228 multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(C,multiply(inverse(multiply(E,F)),inverse(multiply(inverse(multiply(V6,F)),multiply(V6,F)))))))),multiply(D,multiply(E,F))))))))))),multiply(A,inverse(multiply(inverse(multiply(D,inverse(multiply(C,multiply(inverse(multiply(E,F)),inverse(multiply(inverse(multiply(V6,F)),multiply(V6,F)))))))),multiply(D,multiply(E,F)))))) = inverse(multiply(inverse(multiply(V7,inverse(multiply(multiply(inverse(multiply(V8,inverse(multiply(inverse(B),multiply(inverse(V9),inverse(multiply(inverse(V9),V9))))))),multiply(V8,V9)),multiply(inverse(V10),inverse(multiply(inverse(V10),V10))))))),multiply(V7,V10))). [para(121(a,1),9(a,1,1,1,2,1,2,1)),rewrite([121(17)])].
% 1.96/2.27 2268 multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(E)),multiply(inverse(multiply(F,V6)),inverse(multiply(inverse(multiply(V7,V6)),multiply(V7,V6)))))))),inverse(multiply(B,multiply(inverse(multiply(D,multiply(F,V6))),inverse(multiply(inverse(multiply(D,multiply(F,V6))),multiply(D,multiply(F,V6))))))))),E)). [para(124(a,1),3(a,2,1,2))].
% 1.96/2.27 2326 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(E)),multiply(inverse(multiply(F,V6)),inverse(multiply(inverse(multiply(V7,V6)),multiply(V7,V6)))))))),inverse(multiply(multiply(inverse(multiply(V8,inverse(multiply(inverse(B),multiply(inverse(V9),inverse(multiply(inverse(V9),V9))))))),multiply(V8,V9)),multiply(inverse(multiply(D,multiply(F,V6))),inverse(multiply(inverse(multiply(D,multiply(F,V6))),multiply(D,multiply(F,V6))))))))),E)). [para(124(a,1),9(a,2,1,2))].
% 1.96/2.27 2335 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(E,D)),multiply(E,D)))))))),F)),B) = multiply(inverse(multiply(inverse(multiply(A,V6)),F)),multiply(inverse(multiply(V7,V6)),multiply(V7,multiply(C,D)))). [para(124(a,1),219(a,2,2)),flip(a)].
% 1.96/2.27 2522 multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(B,D)))),multiply(A,E)))),multiply(inverse(E),inverse(multiply(inverse(E),E)))) = inverse(multiply(inverse(multiply(F,inverse(multiply(multiply(inverse(multiply(V6,inverse(multiply(inverse(C),multiply(inverse(V7),inverse(multiply(inverse(V7),V7))))))),multiply(V6,V7)),multiply(inverse(V8),inverse(multiply(inverse(V8),V8))))))),multiply(F,V8))). [para(12(a,1),9(a,1,1,1))].
% 1.96/2.27 2695 multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(E),E))))))),multiply(A,E)) = inverse(multiply(inverse(multiply(F,inverse(multiply(multiply(inverse(E),multiply(C,D)),multiply(inverse(V6),inverse(multiply(inverse(V6),V6))))))),multiply(F,V6))). [para(200(a,1),3(a,1,1,1,2,1))].
% 1.96/2.27 2714 multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))) = multiply(inverse(D),D). [para(13(a,1),200(a,2,2))].
% 1.96/2.27 2752 multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,multiply(D,E)))))),multiply(inverse(multiply(C,multiply(D,E))),inverse(multiply(F,multiply(inverse(multiply(D,inverse(multiply(inverse(F),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),multiply(D,E)))))) = B. [para(200(a,1),84(a,1,2,2,1))].
% 1.96/2.27 2784 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(multiply(D,B)),E)) = multiply(inverse(multiply(F,multiply(inverse(multiply(V6,inverse(multiply(inverse(F),multiply(inverse(V7),inverse(multiply(inverse(V7),V7))))))),C))),multiply(inverse(multiply(D,multiply(V6,V7))),E)). [para(200(a,1),213(a,2,1,1))].
% 1.96/2.27 2984 multiply(inverse(multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),D))),multiply(inverse(multiply(E,multiply(B,C))),F)) = multiply(V6,multiply(inverse(multiply(E,inverse(multiply(inverse(V6),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),F)). [para(200(a,1),200(a,1,1,1))].
% 1.96/2.27 2994 multiply(inverse(A),inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E)))))),multiply(B,A))). [para(2714(a,2),1(a,1,1,1,1,2,1)),flip(a)].
% 1.96/2.27 2996 inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(A),A))))))),multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))) = B. [para(2714(a,2),1(a,1,1,2))].
% 1.96/2.27 2997 multiply(inverse(A),A) = multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(C,D))). [para(1(a,1),2714(a,1,1)),flip(a)].
% 1.96/2.27 2998 multiply(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))),a2) != a2 # answer(prove_these_axioms_2). [para(2714(a,2),2(a,1,1))].
% 1.96/2.27 3022 multiply(inverse(A),A) = multiply(inverse(B),B). [para(13(a,1),2714(a,1,1,1)),rewrite([13(14)])].
% 1.96/2.27 3047 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C)))),multiply(inverse(D),E)) = multiply(inverse(multiply(F,D)),multiply(F,E)). [para(2714(a,2),103(a,1,1,1))].
% 1.96/2.27 3048 multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E)))) = multiply(inverse(multiply(F,B)),multiply(F,A)). [para(2714(a,2),103(a,1,2))].
% 1.96/2.27 3056 inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))))),multiply(inverse(D),inverse(multiply(inverse(D),D))))) = D. [para(2714(a,2),48(a,1,1,1,1,1))].
% 1.96/2.27 3058 multiply(inverse(A),A) = multiply(B,multiply(inverse(inverse(multiply(inverse(multiply(C,B)),multiply(C,D)))),multiply(inverse(D),inverse(multiply(inverse(D),D))))). [para(48(a,1),2714(a,1,1)),flip(a)].
% 1.96/2.27 3062 inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C)))),multiply(inverse(D),E)))) = inverse(inverse(multiply(inverse(multiply(F,D)),multiply(F,E)))). [para(2714(a,2),231(a,1,1,1,1,1))].
% 1.96/2.27 3063 inverse(inverse(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E)))))) = inverse(inverse(multiply(inverse(multiply(F,B)),multiply(F,A)))). [para(2714(a,2),231(a,1,1,1,2))].
% 1.96/2.27 3069 multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C))))),multiply(inverse(inverse(D)),inverse(multiply(inverse(inverse(D)),inverse(D))))) = D. [para(2714(a,2),84(a,1,1,1,1))].
% 1.96/2.27 3119 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C)))),multiply(inverse(inverse(multiply(D,multiply(inverse(E),inverse(multiply(inverse(E),E)))))),E)) = inverse(multiply(inverse(multiply(F,inverse(multiply(multiply(inverse(multiply(V6,inverse(multiply(inverse(D),multiply(inverse(V7),inverse(multiply(inverse(V7),V7))))))),multiply(V6,V7)),multiply(inverse(V8),inverse(multiply(inverse(V8),V8))))))),multiply(F,V8))). [para(2714(a,2),9(a,1,1,1))].
% 1.96/2.27 3145 multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(D,multiply(E,F))),multiply(D,multiply(E,F)))) = multiply(inverse(multiply(inverse(multiply(A,V6)),C)),multiply(inverse(multiply(V7,V6)),multiply(V7,B))). [para(2714(a,2),219(a,2,2)),flip(a)].
% 1.96/2.27 3146 multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),multiply(B,multiply(D,E))))),multiply(A,multiply(inverse(multiply(inverse(multiply(D,F)),C)),multiply(inverse(multiply(V6,F)),multiply(V6,E))))) = multiply(inverse(V7),V7). [para(219(a,1),2714(a,1,1,1,2))].
% 1.96/2.27 3153 multiply(A,multiply(inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(B,multiply(C,D)))),multiply(inverse(E),F))) = multiply(A,multiply(inverse(multiply(V6,E)),multiply(V6,F))). [para(2714(a,2),919(a,1,2,1,1))].
% 1.96/2.27 3154 multiply(A,multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(D,multiply(E,F))),multiply(D,multiply(E,F))))) = multiply(A,multiply(inverse(multiply(V6,C)),multiply(V6,B))). [para(2714(a,2),919(a,1,2,2))].
% 1.96/2.27 3201 inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(inverse(multiply(D,multiply(E,F))),multiply(D,multiply(E,F))))))) = inverse(inverse(multiply(inverse(multiply(V6,multiply(V7,C))),multiply(V6,multiply(V7,B))))). [para(2714(a,2),1074(a,1,1,1,2,2))].
% 1.96/2.27 3210 multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),D))),multiply(B,multiply(inverse(multiply(E,multiply(F,V6))),multiply(E,multiply(F,V6)))))) = multiply(A,multiply(inverse(multiply(V7,multiply(V8,D))),multiply(V7,multiply(V8,C)))). [para(2714(a,2),1127(a,1,2,2,2))].
% 1.96/2.27 3211 multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),multiply(inverse(multiply(E,multiply(F,V6))),multiply(E,multiply(F,V6))))) = multiply(A,multiply(inverse(multiply(V7,multiply(V8,D))),multiply(V7,multiply(V8,C)))). [para(2714(a,2),1127(a,1,2,2))].
% 1.96/2.27 3255 multiply(inverse(A),inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(inverse(C),C)),multiply(B,A))). [para(2714(a,1),12(a,2,1,1,1)),rewrite([1(34)])].
% 1.96/2.27 3266 multiply(inverse(A),inverse(multiply(B,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(C,inverse(multiply(inverse(B),multiply(inverse(D),inverse(multiply(inverse(D),D))))))),multiply(C,D)))),multiply(inverse(multiply(E,multiply(F,V6))),multiply(E,multiply(F,V6))))). [para(2714(a,2),12(a,2,1,2))].
% 1.96/2.27 3273 multiply(inverse(multiply(A,multiply(B,multiply(C,multiply(D,E))))),multiply(A,F)) = multiply(V6,multiply(inverse(multiply(B,inverse(multiply(inverse(V6),multiply(inverse(multiply(C,multiply(D,E))),inverse(multiply(inverse(V7),V7))))))),F)). [para(2714(a,1),200(a,2,2,1,1,2,1,2,2,1))].
% 1.96/2.27 3275 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,C)))),multiply(inverse(multiply(D,E)),F)) = multiply(V6,multiply(inverse(multiply(D,inverse(multiply(inverse(V6),multiply(inverse(E),inverse(multiply(inverse(E),E))))))),F)). [para(2714(a,2),200(a,1,1,1))].
% 1.96/2.27 3276 multiply(inverse(multiply(inverse(A),multiply(B,C))),multiply(inverse(multiply(D,multiply(E,F))),multiply(D,multiply(E,F)))) = multiply(V6,multiply(inverse(multiply(B,inverse(multiply(inverse(V6),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),A)). [para(2714(a,2),200(a,1,2))].
% 1.96/2.27 3289 multiply(inverse(A),A) = c_0. [new_symbol(3022)].
% 1.96/2.27 3299 multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),inverse(c_0)))))),D)) = multiply(inverse(multiply(inverse(D),multiply(B,C))),c_0). [back_rewrite(3276),rewrite([3289(10),3289(10)]),flip(a)].
% 1.96/2.27 3300 multiply(inverse(multiply(inverse(A),multiply(B,C))),c_0) = multiply(inverse(c_0),multiply(inverse(multiply(B,C)),A)). [back_rewrite(3275),rewrite([3289(6),3289(10),3299(17)]),flip(a)].
% 1.96/2.27 3302 multiply(inverse(multiply(A,multiply(B,multiply(C,multiply(D,E))))),multiply(A,F)) = multiply(inverse(c_0),multiply(inverse(multiply(B,multiply(C,multiply(D,E)))),F)). [back_rewrite(3273),rewrite([3289(13),3299(20),3300(15)])].
% 1.96/2.27 3306 inverse(multiply(inverse(c_0),multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(c_0)))))),multiply(A,C))),D))) = multiply(inverse(D),inverse(multiply(B,c_0))). [back_rewrite(3266),rewrite([3289(3),3289(6),3289(9),3289(10),3289(7),3289(10),3289(25),3300(21)]),flip(a)].
% 1.96/2.27 3312 inverse(multiply(inverse(c_0),multiply(A,B))) = multiply(inverse(B),inverse(multiply(A,c_0))). [back_rewrite(3255),rewrite([3289(3),3289(6),3289(9),3289(10),3289(7),3289(7)]),flip(a)].
% 1.96/2.27 3330 multiply(A,multiply(inverse(multiply(B,multiply(C,D))),multiply(B,multiply(C,E)))) = multiply(A,multiply(inverse(c_0),multiply(inverse(multiply(F,D)),multiply(F,E)))). [back_rewrite(3211),rewrite([3289(11),3300(7)]),flip(a)].
% 1.96/2.27 3331 multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),D))),multiply(B,c_0))) = multiply(A,multiply(inverse(multiply(E,multiply(F,D))),multiply(E,multiply(F,C)))). [back_rewrite(3210),rewrite([3289(10)])].
% 1.96/2.27 3338 inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,c_0)))) = inverse(inverse(multiply(inverse(multiply(D,multiply(E,C))),multiply(D,multiply(E,B))))). [back_rewrite(3201),rewrite([3289(10)])].
% 1.96/2.27 3363 multiply(A,multiply(inverse(multiply(B,C)),multiply(B,D))) = multiply(A,multiply(inverse(multiply(inverse(D),C)),c_0)). [back_rewrite(3154),rewrite([3289(9)]),flip(a)].
% 1.96/2.27 3364 multiply(A,multiply(inverse(multiply(inverse(B),C)),c_0)) = multiply(A,multiply(inverse(c_0),multiply(inverse(C),B))). [back_rewrite(3153),rewrite([3289(6),3363(11)]),flip(a)].
% 1.96/2.27 3367 multiply(inverse(c_0),multiply(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(C),c_0))),multiply(inverse(multiply(inverse(multiply(A,D)),C)),multiply(inverse(c_0),multiply(inverse(D),B))))) = c_0. [back_rewrite(3146),rewrite([3363(6),3364(7),3363(17),3364(18),3302(20),3312(9),3289(23)])].
% 1.96/2.27 3368 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(3145),rewrite([3289(10),3363(15),3364(16)]),flip(a)].
% 1.96/2.27 3383 multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,multiply(inverse(B),inverse(c_0))))),B)) = inverse(multiply(inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(D,inverse(multiply(inverse(A),multiply(inverse(E),inverse(c_0)))))),multiply(D,E)),multiply(inverse(F),inverse(c_0)))))),multiply(C,F))). [back_rewrite(3119),rewrite([3289(6),3289(5),3289(15),3289(25)])].
% 1.96/2.27 3409 multiply(inverse(inverse(c_0)),multiply(inverse(inverse(A)),inverse(c_0))) = A. [back_rewrite(3069),rewrite([3289(6),3289(9)])].
% 1.96/2.27 3411 inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(inverse(multiply(inverse(multiply(inverse(C),B)),c_0))). [back_rewrite(3063),rewrite([3289(9)]),flip(a)].
% 1.96/2.27 3412 inverse(inverse(multiply(inverse(multiply(inverse(A),B)),c_0))) = inverse(multiply(inverse(A),inverse(multiply(inverse(B),c_0)))). [back_rewrite(3062),rewrite([3289(6),3312(6),3411(13)]),flip(a)].
% 1.96/2.27 3413 multiply(A,multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(A),c_0))),inverse(c_0)))) = c_0. [back_rewrite(3058),rewrite([3289(2),3411(7),3412(8),3289(11),3363(14),3364(13)]),flip(a)].
% 1.96/2.27 3415 inverse(multiply(inverse(inverse(c_0)),multiply(inverse(A),inverse(c_0)))) = A. [back_rewrite(3056),rewrite([3289(6),3289(6)])].
% 1.96/2.27 3416 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(inverse(C),B)),c_0). [back_rewrite(3048),rewrite([3289(9)]),flip(a)].
% 1.96/2.27 3417 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(inverse(c_0),multiply(inverse(B),A)). [back_rewrite(3047),rewrite([3289(6),3416(9)]),flip(a)].
% 1.96/2.27 3429 multiply(c_0,a2) != a2 # answer(prove_these_axioms_2). [back_rewrite(2998),rewrite([3289(6)])].
% 1.96/2.27 3430 multiply(A,multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(A),multiply(inverse(B),inverse(c_0))))),B))) = c_0. [back_rewrite(2997),rewrite([3289(2),3289(5),3416(12),3417(13)]),flip(a)].
% 1.96/2.27 3431 multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),multiply(inverse(A),inverse(c_0))))),c_0))) = B. [back_rewrite(2996),rewrite([3289(5),3289(16),3417(12),3312(13)])].
% 1.96/2.27 3432 multiply(inverse(A),inverse(multiply(inverse(inverse(c_0)),c_0))) = multiply(inverse(A),inverse(c_0)). [back_rewrite(2994),rewrite([3289(3),3289(10),3416(10),3417(11),3312(12)]),flip(a)].
% 1.96/2.27 3438 multiply(multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),c_0))),multiply(inverse(multiply(D,multiply(B,C))),E)) = multiply(inverse(c_0),multiply(inverse(multiply(D,A)),E)). [back_rewrite(2984),rewrite([3289(4),3299(11),3417(6),3312(7),3289(16),3299(23),3417(18)])].
% 1.96/2.27 3518 multiply(multiply(inverse(A),inverse(multiply(inverse(B),c_0))),multiply(inverse(multiply(C,B)),D)) = multiply(inverse(c_0),multiply(inverse(multiply(C,A)),D)). [back_rewrite(2784),rewrite([3416(4),3417(5),3312(6),3289(14),3299(21),3417(16),3312(17),3438(22)])].
% 1.96/2.27 3531 multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(inverse(A)),c_0))),inverse(c_0))) = A. [back_rewrite(2752),rewrite([3416(7),3417(8),3312(9),3289(17),3416(24),3417(25),3430(26),3416(17),3417(12)])].
% 1.96/2.27 3548 multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(multiply(inverse(B),multiply(C,D)),multiply(inverse(A),inverse(c_0))))),c_0))) = multiply(inverse(c_0),multiply(inverse(multiply(inverse(inverse(c_0)),inverse(multiply(inverse(multiply(C,D)),c_0)))),B)). [back_rewrite(2695),rewrite([3289(4),3289(11),3299(13),3417(8),3312(9),3416(13),3417(14),3289(20),3416(27),3417(28),3312(29)]),flip(a)].
% 1.96/2.27 3592 multiply(inverse(c_0),multiply(inverse(c_0),multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),multiply(inverse(B),inverse(c_0))))),inverse(multiply(inverse(B),c_0)))),inverse(c_0)))) = multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,c_0))),inverse(c_0))). [back_rewrite(2522),rewrite([3289(4),3416(11),3417(12),3416(16),3417(17),3312(15),3431(15),3312(5),3289(9),3416(11),3417(10),3289(14),3416(21),3417(22),3289(25),3416(32),3417(33),3312(34),3548(34),3417(27),3312(28),3417(32)]),flip(a)].
% 1.96/2.27 3621 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(inverse(multiply(C,D)),inverse(c_0)))))),E)),B) = multiply(inverse(c_0),multiply(inverse(E),multiply(A,multiply(C,D)))). [back_rewrite(2335),rewrite([3289(8),3416(23),3417(24),3368(25),3417(21)])].
% 1.96/2.27 3628 multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,multiply(inverse(B),inverse(c_0))))),B)) = multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,c_0))),inverse(c_0))). [back_rewrite(2326),rewrite([3289(3),3416(10),3417(11),3289(19),3289(26),3416(33),3417(34),3289(43),3621(45),3312(39),3548(39),3417(28),3312(29),3417(33),3592(34)])].
% 1.96/2.27 3640 multiply(inverse(inverse(c_0)),inverse(multiply(inverse(inverse(multiply(A,c_0))),c_0))) = multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(A),c_0))),inverse(c_0))). [back_rewrite(2268),rewrite([3289(4),3416(11),3417(12),3628(12),3289(19),3289(31),3621(33),3628(26),3312(22)]),flip(a)].
% 1.96/2.27 3648 multiply(inverse(multiply(A,inverse(multiply(B,multiply(A,inverse(c_0)))))),c_0) = multiply(inverse(c_0),multiply(inverse(inverse(multiply(B,c_0))),inverse(c_0))). [back_rewrite(2228),rewrite([3289(6),3416(12),3417(13),3628(13),3312(11),3640(11),3413(12),3289(13),3416(19),3417(20),3628(20),3312(18),3640(18),3416(20),3312(12),3640(12),3531(12),3289(13),3416(20),3417(21),3628(21),3289(23),3416(30),3417(31),3628(31),3312(31),3640(31),3312(23),3640(23),3531(23)])].
% 1.96/2.27 3868 multiply(A,multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(A),c_0)))),C)) = multiply(inverse(c_0),multiply(inverse(multiply(inverse(B),inverse(c_0))),C)). [back_rewrite(577),rewrite([3289(4),3416(6),3417(7),3312(8),3518(13),3416(13),3417(14),3312(15)]),flip(a)].
% 1.96/2.27 3878 multiply(inverse(A),inverse(multiply(B,c_0))) = multiply(inverse(A),multiply(inverse(B),inverse(c_0))). [back_rewrite(444),rewrite([3289(4),3416(10),3417(11),3312(12),3289(15),3868(17),3312(18),3417(16),3312(17),3432(17),3416(18),3417(19),3415(17),3312(11)]),flip(a)].
% 1.96/2.27 3881 multiply(inverse(multiply(A,B)),multiply(inverse(inverse(C)),inverse(c_0))) = multiply(inverse(multiply(A,B)),C). [back_rewrite(441),rewrite([3289(8),3416(8),3417(9),3312(10),3878(10),3409(11),3416(8),3417(9),3368(10),3417(6),3312(7),3878(7)])].
% 1.96/2.27 3885 multiply(inverse(inverse(multiply(inverse(A),c_0))),B) = multiply(inverse(multiply(inverse(inverse(A)),inverse(c_0))),B). [back_rewrite(430),rewrite([3289(6),3289(9),3289(12),3289(13),3289(10),3289(11),3289(14),3289(17),3289(18),3289(15),3289(13),3416(7),3417(8),3312(9),3878(9),3409(10),3416(7),3417(8),3312(9),3878(9),3416(11),3417(10),3312(11),3878(11),3881(12),3289(10),3289(13),3289(16),3289(17),3289(14)]),flip(a)].
% 1.96/2.27 3886 multiply(inverse(c_0),multiply(inverse(inverse(A)),inverse(c_0))) = multiply(inverse(c_0),A). [back_rewrite(429),rewrite([3289(5),3289(8),3289(11),3289(12),3289(9),3416(8),3417(9),3312(10),3289(8),3416(8),3417(7),3312(8),3878(8),3409(9),3289(4),3289(7),3289(10),3289(11),3289(8),3416(5),3417(6),3312(7),3878(7),3289(10),3289(13),3289(16),3289(17),3289(14)])].
% 1.96/2.27 3888 multiply(inverse(A),multiply(inverse(inverse(c_0)),B)) = multiply(inverse(A),B). [back_rewrite(426),rewrite([3289(2),3289(7),3289(10),3289(11),3289(10),3289(13),3289(14),3289(11),3416(9),3417(10),3312(11),3878(11),3409(12),3416(8),3417(9),3312(10),3417(8),3312(9),3878(9),3409(10),3289(5),3289(8),3289(9)]),flip(a)].
% 1.96/2.27 3889 multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(C)),inverse(c_0)))),inverse(c_0))) = multiply(inverse(A),multiply(inverse(multiply(inverse(B),C)),inverse(c_0))). [back_rewrite(425),rewrite([3289(5),3289(8),3289(11),3289(12),3289(9),3878(7),3289(12),3416(14),3417(15),3312(16),3878(16),3409(17),3416(12),3417(13),3416(17),3417(18),3312(16),3878(16),3312(20),3878(20)]),flip(a)].
% 1.96/2.27 3892 multiply(inverse(c_0),multiply(inverse(multiply(inverse(A),B)),inverse(c_0))) = multiply(inverse(c_0),multiply(inverse(B),A)). [back_rewrite(421),rewrite([3289(6),3416(13),3648(14),3417(7),3312(8),3878(8),3889(14),3289(13),3416(15),3417(16),3312(17),3878(17),3409(18),3416(13),3417(14)])].
% 1.96/2.27 3894 inverse(multiply(inverse(A),multiply(inverse(inverse(B)),inverse(c_0)))) = inverse(multiply(inverse(A),B)). [back_rewrite(419),rewrite([3289(5),3289(8),3289(9),3416(7),3417(8),3312(9),3878(9),3409(10),3289(5),3416(11),3888(9),3417(8),3312(9),3878(9)]),flip(a)].
% 1.96/2.27 3913 multiply(inverse(c_0),multiply(inverse(inverse(A)),c_0)) = multiply(inverse(c_0),multiply(A,c_0)). [back_rewrite(398),rewrite([3289(3),3416(10),3648(11),3886(10),3289(9),3289(21),3299(26),3416(17),3648(18),3885(16),3892(18),3888(14),3417(14),3312(15),3417(13),3312(14),3878(14),3886(15),3289(15),3416(17),3417(16),3892(16)]),flip(a)].
% 1.96/2.27 3918 inverse(multiply(inverse(A),multiply(inverse(c_0),multiply(inverse(B),inverse(c_0))))) = inverse(multiply(inverse(A),multiply(inverse(B),inverse(c_0)))). [back_rewrite(391),rewrite([3289(3),3416(10),3648(11),3886(10),3312(6),3878(6),3416(11),3417(12),3312(10),3878(10),3409(11),3312(5),3878(5),3289(11),3289(23),3299(28),3416(19),3648(20),3885(18),3892(20),3888(16),3417(16),3312(17),3417(15),3913(15),3312(14),3878(14)]),flip(a)].
% 1.96/2.27 3929 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(c_0)))))),D)),multiply(inverse(B),inverse(c_0)))) = multiply(inverse(multiply(A,C)),D). [back_rewrite(377),rewrite([3289(4),3289(15),3416(15),3417(16),3312(17),3878(17),3409(18),3289(14),3416(21),3648(22),3886(21),3312(17),3878(17),3918(20)])].
% 1.96/2.27 3931 inverse(multiply(inverse(c_0),inverse(A))) = A. [back_rewrite(373),rewrite([3289(4),3416(6),3417(7),3312(8),3878(8),3409(9),3289(9),3289(17),3416(24),3648(25),3886(24),3312(20),3878(20),3892(21),3368(18),3648(14),3885(10),3892(12),3888(8)])].
% 1.96/2.27 3934 multiply(inverse(A),inverse(multiply(inverse(c_0),B))) = multiply(inverse(A),multiply(inverse(B),inverse(c_0))). [back_rewrite(368),rewrite([3289(3),3416(10),3648(11),3886(10),3312(6),3878(6),3416(11),3918(10),3417(9),3312(10),3417(8),3888(8),3289(10),3289(22),3299(27),3416(18),3648(19),3885(17),3892(19),3888(15),3417(15),3931(13),3312(11),3878(11)])].
% 1.96/2.27 3937 multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(C),multiply(inverse(c_0),multiply(inverse(B),A))))) = C. [back_rewrite(352),rewrite([3289(5),3289(8),3289(11),3289(12),3289(9),3289(10),3289(13),3289(16),3289(17),3289(14),3289(15),3289(18),3289(21),3289(22),3289(19),3289(17),3885(10),3289(20),3289(23),3289(26),3289(27),3289(24),3878(22),3894(24),3289(23),3289(26),3289(29),3289(30),3289(27),3878(25),3894(27),3416(26),3417(27),3312(28),3878(28),3416(30),3417(29),3312(30),3878(30),3289(31),3417(21),3289(28),3416(35),3648(36),3886(35),3312(31),3878(31),3918(34),3929(31),3894(8)])].
% 1.96/2.27 3938 multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(A),inverse(c_0))))) = B. [back_rewrite(346),rewrite([3289(5),3289(17),3289(24),3289(32),3416(39),3648(40),3886(39),3312(35),3878(35),3918(38),3929(35),3416(12),3648(13),3885(11),3892(13),3888(9),3931(6)])].
% 1.96/2.27 3982 inverse(inverse(multiply(A,multiply(inverse(multiply(inverse(B),A)),C)))) = inverse(multiply(inverse(C),multiply(inverse(B),inverse(c_0)))). [back_rewrite(280),rewrite([3289(3),3416(8),3417(9),3312(10),3417(8),3888(8),3934(6),3416(11),3417(12),3312(13),3878(13),3894(15)]),flip(a)].
% 1.96/2.27 3986 multiply(inverse(inverse(A)),c_0) = A. [back_rewrite(265),rewrite([3416(6),3417(7),3312(8),3878(8),3894(10),3416(9),3417(10),3312(11),3878(11),3894(13),3416(12),3417(13),3312(14),3878(14),3416(16),3417(15),3312(16),3878(16),3289(17),3417(7),3416(15),3417(16),3312(17),3878(17),3416(20),3894(8),3937(13)])].
% 1.96/2.27 3987 inverse(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,multiply(inverse(c_0),multiply(inverse(B),A)))))) = C. [back_rewrite(263),rewrite([3416(4),3417(5),3312(6),3878(6),3894(8),3416(7),3417(8),3312(9),3878(9),3894(11),3416(10),3417(11),3312(12),3878(12),3416(14),3417(13),3312(14),3878(14),3289(15),3417(5),3416(13),3417(14),3312(15),3878(15),3416(18),3894(8),3417(14),3312(15),3986(13)])].
% 1.96/2.27 3990 inverse(multiply(A,c_0)) = multiply(inverse(A),c_0). [back_rewrite(260),rewrite([3289(4),3416(11),3938(9),3416(7),3417(8),3312(9),3878(9),3894(11),3416(10),3417(11),3312(12),3878(12),3894(14),3416(13),3417(14),3312(15),3878(15),3416(17),3417(16),3312(17),3878(17),3289(18),3417(8),3416(16),3417(17),3312(18),3878(18),3416(21),3894(11),3987(15)]),flip(a)].
% 1.96/2.27 3993 multiply(inverse(A),inverse(c_0)) = multiply(inverse(A),c_0). [back_rewrite(252),rewrite([3289(3),3416(8),3417(9),3312(10),3990(9),3986(9),3982(11),3289(14),3416(16),3415(13),3990(7)])].
% 1.96/2.27 3994 multiply(inverse(c_0),A) = A. [back_rewrite(251),rewrite([3416(8),3417(9),3368(10),3417(6),3312(7),3990(6),3986(6),3289(10),3993(9),3416(9),3417(6),3312(7),3990(6),3986(6)])].
% 1.96/2.27 3995 multiply(A,multiply(inverse(inverse(multiply(inverse(A),B))),C)) = multiply(B,C). [back_rewrite(250),rewrite([3289(3),3993(4),3416(7),3417(8),3990(6),3986(6),3994(4),3416(5),3417(6),3994(6)]),flip(a)].
% 1.96/2.27 4004 multiply(inverse(A),multiply(inverse(B),c_0)) = inverse(multiply(B,A)). [back_rewrite(238),rewrite([3289(4),3993(5),3990(5),3986(5),3289(3),3289(6),3289(9),3289(10),3289(7),3990(4),3416(9),3417(10),3994(10),3995(11)])].
% 1.96/2.27 4005 inverse(multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(B),A))))),C)) = inverse(multiply(B,C)). [back_rewrite(237),rewrite([3289(3),3289(6),3289(9),3289(10),3289(7),3990(4),4004(5),3416(6),3417(7),3994(7),3289(9),3993(10),4004(10),3416(11),3417(12),3994(12)]),flip(a)].
% 1.96/2.27 4011 inverse(multiply(A,inverse(multiply(B,multiply(A,inverse(multiply(A,inverse(multiply(C,inverse(multiply(inverse(A),C))))))))))) = B. [back_rewrite(230),rewrite([3416(4),3417(5),3994(5),3289(7),3993(8),4004(8),3416(16),3417(17),3994(17),3289(19),3993(20),4004(20),3416(19),4005(18),3990(15),3986(15)])].
% 1.96/2.27 4016 multiply(inverse(inverse(inverse(multiply(A,B)))),A) = multiply(inverse(B),c_0). [back_rewrite(225),rewrite([3289(4),3993(5),4004(5),3416(7),3417(8),3994(8),3416(9),3417(10),3994(10),3289(12),3993(13),4004(13),3416(21),3417(22),3994(22),3289(24),3993(25),4004(25),3416(24),4005(23),4011(17),3990(8)])].
% 1.96/2.27 4023 multiply(A,inverse(multiply(inverse(B),multiply(A,inverse(multiply(A,multiply(inverse(A),c_0))))))) = B. [back_rewrite(215),rewrite([3289(5),3993(6),4004(6),3416(8),3417(9),4016(8),4004(7),3990(4),3289(15),3993(16),4004(16),3416(18),3417(19),4016(18),4004(17),3990(14),3416(16),3990(4),3986(4),3990(14),3986(14)])].
% 1.96/2.27 4034 multiply(A,inverse(multiply(B,multiply(A,inverse(multiply(A,multiply(inverse(A),c_0))))))) = multiply(inverse(B),c_0). [back_rewrite(197),rewrite([3289(5),3993(6),4004(6),3416(8),3417(9),4016(8),4004(7),3990(4),3289(15),3993(16),4004(16),3416(18),3417(19),4016(18),4004(17),3990(14),3416(16),3990(4),3986(4),4023(10),3289(7),3993(8),4004(8),3416(10),3417(11),4016(10),4004(9),3990(6),3289(17),3993(18),4004(18),3416(20),3417(21),4016(20),4004(19),3990(16),3416(18),3990(7),3986(7),3990(16),3986(16)]),flip(a)].
% 1.96/2.27 4040 inverse(multiply(inverse(A),B)) = multiply(inverse(B),A). [back_rewrite(174),rewrite([3416(4),3417(5),3994(5),3289(6),3289(9),3289(12),3289(13),3289(10),3990(7),3986(7),3289(8),3993(9),4004(9),3416(11),3417(12),4016(11),4004(10),3990(7),3289(18),3993(19),4004(19),3416(21),3417(22),4016(21),4004(20),3990(17),3416(19),3990(6),3986(6),4034(13),3417(7),3994(7),3417(7),3994(7)]),flip(a)].
% 1.96/2.27 4049 multiply(inverse(multiply(multiply(A,c_0),multiply(inverse(multiply(A,inverse(multiply(A,multiply(multiply(inverse(A),c_0),c_0))))),B))),c_0) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(165),rewrite([3289(4),3993(5),4004(5),3416(7),4040(6),4016(5),3289(10),3993(11),4004(11),3416(13),4040(12),4016(11),4040(16),3289(21),3993(22),4004(22),3416(24),4040(23),4016(22),3416(24),3990(11),3990(9),3986(9)]),flip(a)].
% 1.96/2.27 4053 inverse(multiply(multiply(A,c_0),inverse(multiply(B,multiply(A,inverse(multiply(A,multiply(multiply(inverse(A),c_0),c_0)))))))) = B. [back_rewrite(161),rewrite([3289(5),3993(6),4004(6),3416(8),4040(7),4016(6),4040(11),3289(16),3993(17),4004(17),3416(19),4040(18),4016(17),3416(19),3990(6),3990(4),3986(4),4049(16),3289(17),3993(18),4004(18),3416(20),4040(19),4016(18),4040(23),3289(28),3993(29),4004(29),3416(31),4040(30),4016(29),3416(31),3990(18),3990(16),3986(16),4049(28),3416(19),3990(6),3990(4),3986(4),3990(17),3986(17)])].
% 1.96/2.27 4063 multiply(multiply(inverse(inverse(multiply(A,multiply(inverse(B),c_0)))),B),c_0) = multiply(multiply(A,c_0),c_0). [back_rewrite(151),rewrite([3289(3),3993(4),3416(9),4040(8),3289(13),3993(14),4004(14),3416(16),4040(15),4016(14),3289(18),3993(19),4004(19),3416(21),4040(20),4016(19),3289(30),3993(31),4004(31),3416(33),4040(32),4016(31),3416(33),3990(15),3990(13),3986(13),4053(28),3990(17),3990(15),3990(13),3986(13)])].
% 1.96/2.27 4065 multiply(A,c_0) = A. [back_rewrite(149),rewrite([3289(5),3993(6),4004(6),3416(8),4040(7),4016(6),4040(11),3289(15),3993(16),3416(21),4040(20),4063(21),3990(17),3990(15),3416(19),3990(6),3990(4),3986(4),4049(16),3990(6),3990(4),3986(4)])].
% 1.96/2.27 4079 inverse(multiply(multiply(inverse(A),B),C)) = multiply(inverse(C),multiply(inverse(B),A)). [back_rewrite(127),rewrite([3416(5),4040(4),4065(5),4040(4),3289(5),3289(8),3289(11),3289(12),3289(9),4065(5),4040(4),3416(8),4040(7),4065(8),3416(10),4040(9),4040(7),4065(9)]),flip(a)].
% 1.96/2.27 4083 multiply(inverse(inverse(multiply(A,inverse(multiply(B,C))))),multiply(B,C)) = A. [back_rewrite(121),rewrite([3289(6),3993(5),4065(4),3416(9),4040(8),4065(9),4040(8),4040(8)])].
% 1.96/2.27 4086 multiply(multiply(inverse(A),inverse(B)),B) = inverse(A). [back_rewrite(116),rewrite([3289(4),3993(5),4065(4),4040(4),3416(7),4040(6),4040(4),4065(6),3289(10),3993(9),4065(8),3416(13),4040(12),4083(11),4065(6)])].
% 1.96/2.27 4089 multiply(inverse(A),inverse(multiply(B,inverse(A)))) = inverse(B). [back_rewrite(112),rewrite([3289(7),3993(6),4065(5),4040(5),3416(9),4040(8),4040(5),4086(6),4065(3),3289(4),3993(5),4065(4),3416(8),4040(7),4065(8),4040(7)]),flip(a)].
% 1.96/2.27 4093 inverse(inverse(A)) = A. [back_rewrite(106),rewrite([3289(7),3993(6),4065(5),4040(5),3416(9),4040(8),4040(5),4086(6),4065(3)])].
% 1.96/2.27 4110 multiply(inverse(A),inverse(multiply(B,multiply(c_0,inverse(multiply(c_0,inverse(c_0))))))) = inverse(multiply(B,A)). [back_rewrite(83),rewrite([3289(3),4093(4),3289(4),4093(5),3289(5),3289(14),3993(15),4065(14),3416(18),4089(16),4093(13),4065(13),3416(16),4040(15),4093(13),4065(14)])].
% 1.96/2.27 4111 multiply(A,multiply(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(A,inverse(A)),inverse(multiply(A,inverse(A))))))),B)) = multiply(A,B). [back_rewrite(82),rewrite([3289(4),3993(5),4065(4),3416(8),4089(6),4093(3),4065(3),4093(5),3289(6),3993(7),4065(6),3416(10),4089(8),4093(5),4065(5),4093(7),3289(8),3993(9),4065(8),3416(12),4089(10),4093(7),4065(7),4040(13),3289(18),3993(19),4065(18),3416(22),4089(20),4093(17),4065(17),3416(18),4093(15),4065(17),4093(16)])].
% 1.96/2.27 4112 multiply(multiply(A,inverse(B)),B) = A. [back_rewrite(81),rewrite([3289(4),3993(5),4065(4),4093(5),3289(5),4093(6),3289(6),4093(7),3289(7),4110(13),4093(5)])].
% 1.96/2.27 4121 multiply(inverse(multiply(A,B)),A) = inverse(B). [back_rewrite(68),rewrite([3289(4),3993(5),4065(4),4040(4),4093(2),3416(5),4040(4),4065(5),3289(7),3993(8),4065(7),4093(8),3289(8),4093(9),3289(9),4093(10),3289(10),4110(16),4112(6)])].
% 1.96/2.27 4123 multiply(inverse(multiply(c_0,A)),B) = multiply(inverse(A),B). [back_rewrite(64),rewrite([3289(2),4093(3),3289(4),4093(5),3289(5),4093(8),3289(8),4093(9),3289(9),4093(12),3289(12),4093(13),3289(13),4040(20),4111(20),3416(6),4040(5),4065(6),3289(9),3993(10),4065(9),4079(9),4093(6),3416(11),4040(10),4121(9),4040(7),4065(8),4040(7)])].
% 1.96/2.27 4127 multiply(inverse(A),multiply(multiply(c_0,inverse(c_0)),B)) = multiply(inverse(A),B). [back_rewrite(60),rewrite([3289(4),4093(5),3289(5),4093(6),3289(6),4040(11),4123(10),4093(7),3289(10),3993(11),4065(10),4079(10),4093(2),3416(12),4040(11),4121(10),4040(8),4065(9),3416(11),4040(10),4065(11),3289(12),3993(13),4065(12),4079(12),4093(9),3416(14),4040(13),4121(12),4040(10),4065(11),4040(10)])].
% 1.96/2.27 4131 multiply(inverse(A),multiply(A,B)) = B. [back_rewrite(54),rewrite([3289(5),3993(6),4065(5),4040(5),4093(3),3289(5),4093(6),3289(6),4093(7),3289(7),4040(12),4123(11),4093(7),4127(8)])].
% 1.96/2.27 4149 multiply(multiply(multiply(inverse(A),B),multiply(C,D)),multiply(inverse(D),E)) = multiply(multiply(inverse(A),B),multiply(C,E)). [back_rewrite(2015),rewrite([3416(8),3416(6),4040(5),4065(6),4040(5),4065(6),4040(6),4040(3),3416(8),4040(7),4065(8),3416(13),3416(11),4040(10),4065(11),4040(10),4065(11),3416(14),4040(13),4040(10),4065(13)])].
% 1.96/2.27 4158 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [back_rewrite(3306),rewrite([3993(7),4065(6),4040(6),4093(4),3416(7),4131(5),4065(5),4093(4),3994(4),4065(5)])].
% 1.96/2.27 4160 multiply(A,multiply(multiply(multiply(inverse(B),inverse(C)),inverse(D)),multiply(D,multiply(C,E)))) = multiply(A,multiply(inverse(B),E)). [back_rewrite(3331),rewrite([4158(4),4158(3),4093(3),4065(6),4112(5),4158(6),4158(5)]),flip(a)].
% 1.96/2.27 4161 multiply(A,multiply(multiply(inverse(B),inverse(C)),multiply(C,D))) = multiply(A,multiply(inverse(B),D)). [back_rewrite(3330),rewrite([4158(3),4158(2),4160(9),4158(7),3994(11)]),flip(a)].
% 1.96/2.27 4167 multiply(multiply(multiply(inverse(A),B),inverse(C)),multiply(C,multiply(D,E))) = multiply(multiply(inverse(A),B),multiply(D,E)). [back_rewrite(2039),rewrite([4158(2),4158(6),4158(2),4158(7),4093(5),4093(5),4158(7),4158(11),4158(10),4160(17),4158(13),4158(7),4158(3),4093(3),4158(6),4093(4),4093(4),4158(10),4158(6),4158(11),4093(9),4093(9),4161(10),4149(7),4158(7),4158(6),4158(12),4158(11),4160(18),4158(14),4158(8),4158(7),4093(7),4158(14),4093(10),4158(12),4093(10),4093(10)]),flip(a)].
% 1.96/2.27 4176 multiply(A,multiply(multiply(inverse(B),multiply(C,D)),multiply(inverse(D),E))) = multiply(A,multiply(inverse(B),multiply(C,E))). [back_rewrite(2020),rewrite([4158(2),4158(5),4158(5),4093(3),4093(3),4158(5),4158(9),4158(5),4158(5),4093(3),4093(3),4158(7),4158(5),4093(8),4158(10),4161(15),4149(12),4161(9),4158(10),4158(9),4167(16),4161(14)])].
% 1.96/2.27 4209 multiply(multiply(inverse(A),inverse(B)),multiply(B,C)) = multiply(inverse(A),C). [back_rewrite(3338),rewrite([4158(4),4158(3),4093(3),4065(6),4112(5),4158(3),4093(3),4158(3),4093(3),4158(5),4158(4),4167(10),4158(8),4158(4),4158(9),4093(7),4093(7),4158(8),4158(4),4158(9),4093(7),4093(7)]),flip(a)].
% 1.96/2.27 4211 multiply(multiply(inverse(A),B),multiply(multiply(inverse(B),inverse(C)),D)) = multiply(multiply(inverse(A),inverse(C)),D). [back_rewrite(1735),rewrite([4158(3),4158(2),4167(8),4209(5),4158(3),4093(3),4158(5),4158(4),4158(11),4158(8),4158(2),4158(9),4093(5),4158(7),4093(5),4093(5),4209(6),4158(6),4093(6),4158(7),4158(3),4093(3),4158(6),4158(4),4093(7),4158(11),4158(10),4158(9),4158(18),4158(10),4158(9),4158(20),4093(14),4158(18),4093(14),4158(16),4093(14),4093(14),4167(16),4209(13),4158(11),4158(9),4093(12)])].
% 1.96/2.27 4213 multiply(multiply(inverse(A),multiply(B,C)),multiply(inverse(C),multiply(D,E))) = multiply(inverse(A),multiply(B,multiply(D,E))). [back_rewrite(1730),rewrite([4158(2),4158(6),4158(5),4158(5),4093(3),4093(3),4158(7),4158(10),4158(10),4093(8),4093(8),4158(10),4209(13),4176(12),4167(10),4158(8),4158(4),4158(2),4093(5),4158(8),4158(6),4093(9),4158(10),4158(5),4158(5),4093(3),4093(3),4158(8),4158(8),4093(6),4093(6),4158(10),4158(9),4167(17),4209(14),4158(12),4158(10),4158(9),4093(14),4158(14),4158(14),4093(10),4158(12),4093(10),4093(10)])].
% 1.96/2.27 4223 multiply(multiply(inverse(A),multiply(B,multiply(C,D))),multiply(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),inverse(E)),F)) = multiply(multiply(inverse(A),inverse(E)),F). [back_rewrite(1650),rewrite([4158(4),4158(3),4158(2),4158(9),4158(9),4093(3),4158(7),4093(3),4158(5),4093(3),4093(3),4158(7),4158(10),4158(10),4093(8),4093(8),4158(10),4209(13),4158(12),4158(8),4093(8),4158(11),4158(9),4093(12),4211(12),4158(11),4158(16),4158(10),4158(5),4158(5),4093(3),4093(3),4158(8),4158(8),4093(6),4093(6),4213(7),4158(10),4158(8),4158(7),4158(6),4093(13),4158(15),4209(19),4158(17),4158(15),4093(18)])].
% 1.96/2.27 4224 multiply(multiply(inverse(A),multiply(B,multiply(C,D))),multiply(multiply(multiply(inverse(D),inverse(C)),E),F)) = multiply(multiply(inverse(A),multiply(B,E)),F). [back_rewrite(1649),rewrite([4158(2),4158(5),4158(5),4093(3),4093(3),4158(5),4209(8),4158(7),4158(3),4093(3),4158(6),4158(4),4093(7),4211(7),4158(6),4158(6),4158(6),4093(4),4093(4),4158(9),4158(8),4158(7),4158(16),4158(10),4158(2),4158(11),4093(5),4158(9),4093(5),4158(7),4093(5),4093(5),4209(7),4158(10),4158(8),4158(6),4093(9),4093(10),4158(12),4158(15),4209(19),4158(17),4158(15),4158(15),4093(13),4093(13),4093(15)])].
% 1.96/2.27 4238 multiply(multiply(multiply(inverse(A),multiply(B,C)),inverse(D)),multiply(D,E)) = multiply(multiply(inverse(A),multiply(B,C)),E). [back_rewrite(870),rewrite([4158(4),4158(3),4158(2),4158(10),4158(2),4158(11),4093(5),4158(9),4093(5),4158(7),4093(5),4093(5),4209(7),4158(6),4158(9),4158(9),4093(7),4093(7),4158(9),4209(12),4158(11),4158(7),4093(7),4158(10),4158(8),4093(11),4211(11),4224(10),4158(6),4158(10),4158(9),4158(9),4093(7),4093(7)]),flip(a)].
% 1.96/2.27 4239 multiply(multiply(multiply(inverse(A),inverse(B)),inverse(C)),multiply(C,D)) = multiply(multiply(inverse(A),inverse(B)),D). [back_rewrite(868),rewrite([4158(2),4158(5),4158(5),4093(3),4093(3),4158(5),4209(8),4158(7),4158(3),4093(3),4158(6),4158(4),4093(7),4211(7),4158(6),4158(10),4158(5),4158(5),4093(3),4093(3),4158(8),4158(8),4093(6),4093(6),4213(7),4158(8),4158(7),4158(6),4223(13),4158(7),4158(6)]),flip(a)].
% 1.96/2.27 4250 multiply(multiply(inverse(A),multiply(B,C)),multiply(multiply(inverse(C),multiply(D,E)),F)) = multiply(multiply(inverse(A),multiply(B,multiply(D,E))),F). [back_rewrite(1616),rewrite([4158(2),4209(5),4158(3),4093(3),4158(4),4211(7),4158(5),4158(5),4093(3),4093(3),4158(5),4158(5),4158(3),4093(6),4158(9),4158(8),4239(13),4158(12),4158(5),4158(5),4093(3),4093(3),4158(10),4158(8),4158(8),4093(6),4093(6),4093(8),4158(10),4158(14),4158(13),4209(19),4158(17),4158(15),4158(15),4093(11),4158(13),4093(11),4093(11),4093(14)])].
% 1.96/2.27 4251 multiply(multiply(inverse(A),multiply(B,multiply(C,D))),multiply(inverse(D),E)) = multiply(inverse(A),multiply(B,multiply(C,E))). [back_rewrite(1529),rewrite([4158(3),4158(2),4167(8),4209(5),4158(3),4093(3),4158(5),4158(4),4158(10),4158(7),4158(7),4093(3),4158(5),4093(3),4093(3),4158(7),4093(7),4158(9),4209(13),4158(11),4158(9),4093(12),4158(13),4158(17),4158(12),4158(12),4093(10),4093(10),4158(15),4158(15),4093(13),4093(13),4213(14)])].
% 1.96/2.27 4268 multiply(multiply(inverse(A),multiply(inverse(B),C)),D) = multiply(inverse(A),multiply(multiply(inverse(B),C),D)). [back_rewrite(1610),rewrite([4158(3),4158(2),4239(7),4158(5),4158(5),4093(3),4093(3),4158(5),4158(5),4158(3),4093(6),4158(8),4158(12),4158(11),4158(11),4093(9),4093(9),4238(13),4250(11),4209(6),4158(6),4158(6),4158(4),4093(4),4093(5),4158(7),4158(10),4209(13),4158(11),4093(11),4209(13),4158(11),4158(9),4158(9),4093(9),4093(11)]),flip(a)].
% 1.96/2.27 4269 multiply(multiply(inverse(A),B),C) = multiply(inverse(A),multiply(B,C)). [back_rewrite(1522),rewrite([4158(2),4209(5),4158(4),4158(3),4093(3),4158(7),4158(2),4158(8),4093(5),4158(6),4093(6),4209(7),4158(6),4209(9),4158(8),4158(7),4093(7),4268(10),4158(11),4158(9),4158(6),4158(6),4093(3),4158(4),4093(4),4158(8),4093(8),4251(8),3289(3),4065(3),4093(4),4158(6),4158(5),4239(10),4158(8),4158(8),4093(6),4093(6)])].
% 1.96/2.27 4282 multiply(A,multiply(inverse(B),multiply(inverse(C),multiply(D,multiply(inverse(D),multiply(C,E)))))) = multiply(A,multiply(inverse(B),E)). [back_rewrite(1017),rewrite([4158(2),4269(5),4131(4),4158(3),4093(3),4158(3),4093(3),4269(3),4158(4),4158(2),4093(5),4269(4),4158(6),4269(9),4131(8),4158(7),4093(7),4158(7),4093(7),4269(7),4269(8),4269(7),4158(11),4269(14),4131(13)])].
% 1.96/2.27 4306 multiply(inverse(A),multiply(multiply(B,C),multiply(inverse(C),D))) = multiply(inverse(A),multiply(B,D)). [back_rewrite(219),rewrite([4158(2),4269(4),4158(5),4158(3),4093(3),4093(4),4269(3),4158(5),4269(8),4131(7),4269(6),4158(8),4269(12),4131(11)])].
% 1.96/2.27 4308 inverse(c_0) = c_0. [back_rewrite(3367),rewrite([4158(4),4065(8),4093(7),4269(6),4158(8),4269(10),4158(11),4158(9),4093(9),4093(10),4269(9),3994(14),4269(12),4306(12),4269(10),4269(9),4282(11),3289(4),4065(4)])].
% 1.96/2.27 4336 multiply(c_0,A) = A. [back_rewrite(3383),rewrite([4308(2),4308(4),4065(4),4158(4),4093(3),4158(4),4093(3),4112(4),4308(6),4065(6),4158(6),4093(4),4093(4),4158(5),4158(4),4269(7),4269(9),4269(8),4131(7),3289(5),4065(5),4308(6),4065(6),4158(6),4093(4),4093(4),4158(5),4158(4),4269(7),4269(9),4269(8),4131(7),3289(5),4065(5),4093(4)])].
% 1.96/2.27 4337 $F # answer(prove_these_axioms_2). [resolve(4336,a,3429,a)].
% 1.96/2.27
% 1.96/2.27 % SZS output end Refutation
% 1.96/2.27 ============================== end of proof ==========================
% 1.96/2.27
% 1.96/2.27 ============================== STATISTICS ============================
% 1.96/2.27
% 1.96/2.27 Given=35. Generated=10704. Kept=4336. proofs=1.
% 1.96/2.27 Usable=2. Sos=35. Demods=820. Limbo=920, Disabled=3380. Hints=0.
% 1.96/2.27 Megabytes=13.10.
% 1.96/2.27 User_CPU=1.25, System_CPU=0.01, Wall_clock=2.
% 1.96/2.27
% 1.96/2.27 ============================== end of statistics =====================
% 1.96/2.27
% 1.96/2.27 ============================== end of search =========================
% 1.96/2.27
% 1.96/2.27 THEOREM PROVED
% 1.96/2.27 % SZS status Unsatisfiable
% 1.96/2.27
% 1.96/2.27 Exiting with 1 proof.
% 1.96/2.27
% 1.96/2.27 Process 2625 exit (max_proofs) Mon Jun 13 21:45:53 2022
% 1.96/2.27 Prover9 interrupted
%------------------------------------------------------------------------------