TSTP Solution File: GRP411-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:18:59 EDT 2022
% Result : Unsatisfiable 3.01s 3.29s
% Output : Refutation 3.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP411-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 23:58:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.01/3.29 ============================== Prover9 ===============================
% 3.01/3.29 Prover9 (32) version 2009-11A, November 2009.
% 3.01/3.29 Process 20891 was started by sandbox on n011.cluster.edu,
% 3.01/3.29 Mon Jun 13 23:58:19 2022
% 3.01/3.29 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20738_n011.cluster.edu".
% 3.01/3.29 ============================== end of head ===========================
% 3.01/3.29
% 3.01/3.29 ============================== INPUT =================================
% 3.01/3.29
% 3.01/3.29 % Reading from file /tmp/Prover9_20738_n011.cluster.edu
% 3.01/3.29
% 3.01/3.29 set(prolog_style_variables).
% 3.01/3.29 set(auto2).
% 3.01/3.29 % set(auto2) -> set(auto).
% 3.01/3.29 % set(auto) -> set(auto_inference).
% 3.01/3.29 % set(auto) -> set(auto_setup).
% 3.01/3.29 % set(auto_setup) -> set(predicate_elim).
% 3.01/3.29 % set(auto_setup) -> assign(eq_defs, unfold).
% 3.01/3.29 % set(auto) -> set(auto_limits).
% 3.01/3.29 % set(auto_limits) -> assign(max_weight, "100.000").
% 3.01/3.29 % set(auto_limits) -> assign(sos_limit, 20000).
% 3.01/3.29 % set(auto) -> set(auto_denials).
% 3.01/3.29 % set(auto) -> set(auto_process).
% 3.01/3.29 % set(auto2) -> assign(new_constants, 1).
% 3.01/3.29 % set(auto2) -> assign(fold_denial_max, 3).
% 3.01/3.29 % set(auto2) -> assign(max_weight, "200.000").
% 3.01/3.29 % set(auto2) -> assign(max_hours, 1).
% 3.01/3.29 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 3.01/3.29 % set(auto2) -> assign(max_seconds, 0).
% 3.01/3.29 % set(auto2) -> assign(max_minutes, 5).
% 3.01/3.29 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 3.01/3.29 % set(auto2) -> set(sort_initial_sos).
% 3.01/3.29 % set(auto2) -> assign(sos_limit, -1).
% 3.01/3.29 % set(auto2) -> assign(lrs_ticks, 3000).
% 3.01/3.29 % set(auto2) -> assign(max_megs, 400).
% 3.01/3.29 % set(auto2) -> assign(stats, some).
% 3.01/3.29 % set(auto2) -> clear(echo_input).
% 3.01/3.29 % set(auto2) -> set(quiet).
% 3.01/3.29 % set(auto2) -> clear(print_initial_clauses).
% 3.01/3.29 % set(auto2) -> clear(print_given).
% 3.01/3.29 assign(lrs_ticks,-1).
% 3.01/3.29 assign(sos_limit,10000).
% 3.01/3.29 assign(order,kbo).
% 3.01/3.29 set(lex_order_vars).
% 3.01/3.29 clear(print_given).
% 3.01/3.29
% 3.01/3.29 % formulas(sos). % not echoed (2 formulas)
% 3.01/3.29
% 3.01/3.29 ============================== end of input ==========================
% 3.01/3.29
% 3.01/3.29 % From the command line: assign(max_seconds, 300).
% 3.01/3.29
% 3.01/3.29 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 3.01/3.29
% 3.01/3.29 % Formulas that are not ordinary clauses:
% 3.01/3.29
% 3.01/3.29 ============================== end of process non-clausal formulas ===
% 3.01/3.29
% 3.01/3.29 ============================== PROCESS INITIAL CLAUSES ===============
% 3.01/3.29
% 3.01/3.29 ============================== PREDICATE ELIMINATION =================
% 3.01/3.29
% 3.01/3.29 ============================== end predicate elimination =============
% 3.01/3.29
% 3.01/3.29 Auto_denials:
% 3.01/3.29 % copying label prove_these_axioms_3 to answer in negative clause
% 3.01/3.29
% 3.01/3.29 Term ordering decisions:
% 3.01/3.29
% 3.01/3.29 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 3.01/3.29 Function symbol KB weights: a3=1. b3=1. c3=1. multiply=1. inverse=0.
% 3.01/3.29
% 3.01/3.29 ============================== end of process initial clauses ========
% 3.01/3.29
% 3.01/3.29 ============================== CLAUSES FOR SEARCH ====================
% 3.01/3.29
% 3.01/3.29 ============================== end of clauses for search =============
% 3.01/3.29
% 3.01/3.29 ============================== SEARCH ================================
% 3.01/3.29
% 3.01/3.29 % Starting search at 0.01 seconds.
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=138.000, iters=3473
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=114.000, iters=3341
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=87.000, iters=3738
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=72.000, iters=3413
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=71.000, iters=3359
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=69.000, iters=3600
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=65.000, iters=3418
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=63.000, iters=3350
% 3.01/3.29
% 3.01/3.29 Low Water (keep): wt=58.000, iters=3365
% 3.01/3.29
% 3.01/3.29 ============================== PROOF =================================
% 3.01/3.29 % SZS status Unsatisfiable
% 3.01/3.29 % SZS output start Refutation
% 3.01/3.29
% 3.01/3.29 % Proof 1 at 2.26 (+ 0.03) seconds: prove_these_axioms_3.
% 3.01/3.29 % Length of proof is 167.
% 3.01/3.29 % Level of proof is 44.
% 3.01/3.29 % Maximum clause weight is 152.000.
% 3.01/3.29 % Given clauses 100.
% 3.01/3.29
% 3.01/3.29 1 multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))) = B # label(single_axiom) # label(axiom). [assumption].
% 3.01/3.29 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].
% 3.01/3.29 3 multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))) = multiply(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))). [para(1(a,1),1(a,1,1,1,1,2,1)),flip(a)].
% 3.01/3.29 4 multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(C))),inverse(multiply(inverse(C),C))) = inverse(C). [para(1(a,1),1(a,1,1,1,1))].
% 3.01/3.29 5 multiply(multiply(inverse(multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(D,multiply(inverse(C),C))))),B),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))) = D. [para(1(a,1),1(a,1,1,2))].
% 3.01/3.29 7 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = B. [para(3(a,1),1(a,1,1))].
% 3.01/3.29 8 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))) = multiply(multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(E,inverse(multiply(B,C)))),multiply(E,inverse(C)))))),multiply(D,inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))). [para(3(a,2),1(a,1,1,1,1,2,1)),flip(a)].
% 3.01/3.29 9 multiply(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C)))),multiply(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(inverse(multiply(inverse(C),C))))),inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))) = inverse(inverse(multiply(inverse(C),C))). [para(3(a,2),1(a,1,1,1,1))].
% 3.01/3.29 11 multiply(inverse(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),C))),C)))),multiply(A,inverse(C))) = B. [para(3(a,2),1(a,1))].
% 3.01/3.29 12 multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(C))) = multiply(multiply(inverse(multiply(D,inverse(inverse(C)))),multiply(D,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))). [para(1(a,1),3(a,1,1,1))].
% 3.01/3.29 21 multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))) = multiply(inverse(multiply(D,inverse(multiply(B,C)))),multiply(D,inverse(C))). [para(3(a,2),3(a,2))].
% 3.01/3.29 22 multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))) = inverse(multiply(C,inverse(multiply(multiply(B,inverse(multiply(inverse(D),D))),D)))). [para(11(a,1),1(a,1,1,1,1,2,1))].
% 3.01/3.29 23 multiply(inverse(multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),multiply(inverse(C),C))))),B) = D. [para(1(a,1),11(a,1,2))].
% 3.01/3.29 34 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D))))) = multiply(inverse(multiply(E,inverse(B))),multiply(E,inverse(multiply(C,inverse(D))))). [para(11(a,1),21(a,1,1,1,2,1)),rewrite([11(19)])].
% 3.01/3.29 36 multiply(multiply(inverse(inverse(A)),multiply(multiply(inverse(B),multiply(multiply(inverse(multiply(C,inverse(multiply(B,A)))),multiply(C,inverse(A))),inverse(A))),inverse(A))),inverse(multiply(inverse(A),A))) = inverse(A). [para(4(a,1),1(a,1,1,1,1))].
% 3.01/3.29 39 multiply(inverse(multiply(A,inverse(inverse(B)))),multiply(A,inverse(inverse(multiply(inverse(B),B))))) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(D),multiply(multiply(inverse(multiply(E,inverse(multiply(D,B)))),multiply(E,inverse(B))),inverse(B)))))),multiply(C,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))))))). [para(4(a,1),3(a,1,1,1,2,1))].
% 3.01/3.29 40 multiply(inverse(inverse(A)),multiply(multiply(inverse(B),multiply(multiply(inverse(multiply(C,inverse(multiply(B,A)))),multiply(C,inverse(A))),inverse(A))),inverse(A))) = multiply(multiply(inverse(multiply(D,inverse(inverse(A)))),multiply(D,inverse(inverse(multiply(inverse(A),A))))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))). [para(4(a,1),3(a,1,1,1))].
% 3.01/3.29 48 multiply(inverse(multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(C))),inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),multiply(inverse(C),C))))),inverse(C)) = D. [para(4(a,1),11(a,1,2))].
% 3.01/3.29 54 multiply(multiply(inverse(inverse(A)),multiply(multiply(inverse(inverse(A)),multiply(multiply(inverse(B),multiply(multiply(inverse(multiply(C,inverse(multiply(B,A)))),multiply(C,inverse(A))),inverse(A))),inverse(A))),inverse(A))),inverse(multiply(inverse(A),A))) = inverse(A). [para(4(a,1),4(a,1,1,2,1,1,1))].
% 3.01/3.29 56 inverse(multiply(A,inverse(multiply(multiply(multiply(B,multiply(A,inverse(C))),inverse(multiply(inverse(C),C))),C)))) = B. [para(34(a,1),1(a,1,1)),rewrite([22(19)])].
% 3.01/3.29 59 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))) = multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C))). [para(1(a,1),34(a,1,2,2,1)),rewrite([1(20)])].
% 3.01/3.29 76 multiply(inverse(A),multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,D)))),multiply(B,inverse(D))),inverse(multiply(A,multiply(inverse(D),D))))),C),inverse(multiply(inverse(D),D)))) = multiply(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(D),D))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))))). [para(5(a,1),3(a,1,1,1))].
% 3.01/3.29 88 multiply(multiply(inverse(multiply(multiply(inverse(multiply(A,inverse(multiply(B,inverse(C))))),multiply(A,inverse(inverse(C)))),inverse(D))),B),inverse(multiply(inverse(multiply(inverse(inverse(C)),inverse(C))),multiply(inverse(inverse(C)),inverse(C))))) = inverse(multiply(inverse(inverse(C)),inverse(multiply(multiply(D,inverse(multiply(inverse(C),C))),C)))). [para(11(a,1),5(a,1,1,1,1,2,1))].
% 3.01/3.29 137 multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) = multiply(inverse(multiply(D,B)),multiply(D,inverse(C))). [para(56(a,1),59(a,1,1,1,2)),rewrite([56(16)])].
% 3.01/3.29 141 inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),multiply(B,inverse(D))),inverse(multiply(inverse(D),D))),D)))) = inverse(multiply(A,C)). [para(137(a,1),1(a,1,1,1,1,2,1)),rewrite([22(21)])].
% 3.01/3.29 151 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(D,B)),multiply(D,C)). [para(56(a,1),137(a,1,2,2)),rewrite([56(17)])].
% 3.01/3.29 159 multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,D))))),multiply(A,inverse(multiply(C,D)))) = multiply(multiply(inverse(multiply(E,inverse(B))),multiply(E,inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))),inverse(multiply(inverse(multiply(F,D)),multiply(F,D)))))). [para(151(a,1),3(a,2,2,1,2,1))].
% 3.01/3.29 177 multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(B,multiply(C,inverse(D))),inverse(multiply(inverse(D),D))),D)))),multiply(A,E)) = multiply(B,multiply(C,E)). [para(56(a,1),151(a,1,1)),flip(a)].
% 3.01/3.29 179 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(151(a,1),151(a,1,2))].
% 3.01/3.29 181 multiply(inverse(A),multiply(multiply(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(C))) = multiply(multiply(inverse(multiply(D,inverse(inverse(C)))),multiply(D,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))). [para(7(a,1),3(a,1,1,1))].
% 3.01/3.29 187 multiply(multiply(inverse(inverse(A)),multiply(multiply(inverse(B),multiply(multiply(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(multiply(inverse(A),A))))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))),inverse(A))),inverse(A))),inverse(multiply(inverse(A),A))) = inverse(A). [para(7(a,1),4(a,1,1,2,1,1,1))].
% 3.01/3.29 191 multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = multiply(D,inverse(multiply(multiply(multiply(B,multiply(D,inverse(E))),inverse(multiply(inverse(E),E))),E))). [para(56(a,1),7(a,1,1,1,1,1,2))].
% 3.01/3.29 192 multiply(multiply(multiply(A,multiply(B,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = multiply(multiply(multiply(A,multiply(B,inverse(D))),inverse(multiply(inverse(D),D))),D). [para(56(a,1),7(a,1,1,1,1))].
% 3.01/3.29 230 multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),multiply(B,inverse(D))),inverse(multiply(inverse(D),D))),D))) = multiply(A,C). [para(141(a,1),7(a,1,1,1,1,1,2)),rewrite([7(24)]),flip(a)].
% 3.01/3.29 232 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(C,D)),multiply(C,inverse(E))),inverse(multiply(inverse(E),E))),E))),D))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(C,D)),multiply(C,inverse(E))),inverse(multiply(inverse(E),E))),E))),D))),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(C,D)),multiply(C,inverse(E))),inverse(multiply(inverse(E),E))),E))),D))))),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(C,D)),multiply(C,inverse(E))),inverse(multiply(inverse(E),E))),E))),D))) = B. [para(141(a,1),7(a,1,1,1,2,2,1)),rewrite([230(44),230(59),230(76)])].
% 3.01/3.29 270 multiply(A,inverse(multiply(multiply(multiply(inverse(B),multiply(multiply(inverse(multiply(C,inverse(multiply(B,D)))),multiply(C,inverse(D))),inverse(E))),inverse(multiply(inverse(E),E))),E))) = multiply(A,inverse(multiply(inverse(D),D))). [para(1(a,1),230(a,1,2,1,1,1,1,1))].
% 3.01/3.29 394 inverse(multiply(A,inverse(multiply(multiply(multiply(B,multiply(A,inverse(multiply(C,inverse(inverse(multiply(inverse(D),D))))))),inverse(multiply(multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(D),D)),D)))),multiply(F,inverse(D)))))),multiply(E,inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))))))),multiply(C,inverse(inverse(multiply(inverse(D),D)))))))) = B. [para(8(a,1),56(a,1,1,2,1,1,2,1))].
% 3.01/3.29 397 multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(inverse(C),C))))) = multiply(multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(E,inverse(multiply(multiply(F,inverse(multiply(multiply(multiply(B,multiply(F,inverse(V6))),inverse(multiply(inverse(V6),V6))),V6))),C)))),multiply(E,inverse(C)))))),multiply(D,inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))). [para(56(a,1),8(a,1,1,1,2))].
% 3.01/3.29 411 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))))) = multiply(multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(F,inverse(multiply(B,multiply(C,D))))),multiply(F,inverse(multiply(C,D))))))),multiply(E,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))),inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))),inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,D)))),inverse(multiply(inverse(multiply(V6,D)),multiply(V6,D)))))))). [para(151(a,1),8(a,2,2,1,2,1,2,1))].
% 3.01/3.29 474 multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(D,E)))))),multiply(A,inverse(multiply(C,multiply(D,E))))) = multiply(multiply(inverse(multiply(F,inverse(B))),multiply(F,inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))),inverse(multiply(inverse(multiply(inverse(multiply(D,V6)),multiply(D,E))),multiply(inverse(multiply(V7,V6)),multiply(V7,E))))))). [para(179(a,2),3(a,2,2,1,2,1))].
% 3.01/3.29 512 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))),inverse(multiply(inverse(multiply(inverse(multiply(D,F)),multiply(D,E))),multiply(inverse(multiply(V6,F)),multiply(V6,E))))))),inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))) = B. [para(179(a,2),7(a,1,1,2,1,2,1))].
% 3.01/3.29 561 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))))) = multiply(multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(V6,inverse(multiply(B,multiply(C,multiply(D,E)))))),multiply(V6,inverse(multiply(C,multiply(D,E)))))))),multiply(F,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))),inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))),inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,multiply(D,E))),multiply(C,multiply(D,E))))),inverse(multiply(inverse(multiply(inverse(multiply(D,V7)),multiply(D,E))),multiply(inverse(multiply(V8,V7)),multiply(V8,E))))))))). [para(179(a,2),8(a,2,2,1,2,1,2,1))].
% 3.01/3.29 807 inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,B)))) = inverse(inverse(multiply(inverse(multiply(C,B)),multiply(C,B)))). [para(151(a,1),9(a,2,1,1)),rewrite([9(43)])].
% 3.01/3.29 895 inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,multiply(B,inverse(C)))))) = inverse(inverse(multiply(inverse(D),D))). [para(11(a,1),807(a,1,1,1,1,1)),rewrite([11(12)]),flip(a)].
% 3.01/3.29 959 inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(B),B))). [para(11(a,1),895(a,1,1,1,1,1)),rewrite([11(12)])].
% 3.01/3.29 964 multiply(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,multiply(B,inverse(C)))))),multiply(multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),E)),F)))),multiply(D,inverse(F))),inverse(F))),inverse(multiply(inverse(F),F))) = inverse(F). [para(895(a,2),4(a,1,1,1))].
% 3.01/3.29 974 inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,multiply(B,inverse(C))))) = inverse(multiply(inverse(D),D)). [para(895(a,1),7(a,1,1,1,1,1,2)),rewrite([7(26)]),flip(a)].
% 3.01/3.29 984 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(D,multiply(E,inverse(F)))),multiply(D,multiply(E,inverse(F)))))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = B. [para(895(a,2),7(a,1,1,2,1,1))].
% 3.01/3.29 986 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(D,multiply(E,inverse(F)))),multiply(D,multiply(E,inverse(F)))))),inverse(multiply(inverse(C),C))))) = B. [para(895(a,2),7(a,1,2,1,1))].
% 3.01/3.29 993 inverse(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))),C))),B))) = inverse(inverse(multiply(inverse(multiply(D,multiply(E,inverse(F)))),multiply(D,multiply(E,inverse(F)))))). [para(230(a,1),895(a,2,1,1)),flip(a)].
% 3.01/3.29 1015 multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))) = multiply(multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(E,inverse(multiply(B,inverse(multiply(inverse(C),C)))))),multiply(E,inverse(inverse(multiply(inverse(C),C)))))))),multiply(D,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(F,multiply(V6,inverse(V7)))),multiply(F,multiply(V6,inverse(V7)))))),inverse(multiply(inverse(C),C))))))))). [para(895(a,2),8(a,2,2,1,2,1,2,1,1))].
% 3.01/3.29 1043 inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,multiply(B,inverse(C)))))),inverse(multiply(inverse(D),D))))) = inverse(inverse(multiply(inverse(multiply(E,multiply(F,inverse(V6)))),multiply(E,multiply(F,inverse(V6)))))). [para(895(a,2),895(a,2,1,1,1)),flip(a)].
% 3.01/3.29 1044 inverse(inverse(multiply(inverse(A),A))) = c_0. [new_symbol(959)].
% 3.01/3.29 1045 inverse(inverse(multiply(c_0,inverse(multiply(inverse(A),A))))) = c_0. [back_rewrite(1043),rewrite([1044(10),1044(17)])].
% 3.01/3.29 1056 multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(B,inverse(multiply(inverse(E),E)))))),multiply(D,c_0))))),multiply(C,inverse(inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(E),E))))))))),inverse(multiply(inverse(inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(E),E))))))),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(E),E))))))))). [back_rewrite(1015),rewrite([1044(7),1045(10),1044(17),1044(23),1045(26),1044(24),1044(35),1045(38),1044(36),1044(45),1045(48),1044(52)])].
% 3.01/3.29 1061 inverse(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))),C))),B))) = c_0. [back_rewrite(993),rewrite([1044(25)])].
% 3.01/3.29 1065 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(C),C))))))),inverse(multiply(c_0,inverse(multiply(inverse(C),C))))) = B. [back_rewrite(986),rewrite([1044(7),1045(10),1044(10),1045(13),1044(11),1044(26)])].
% 3.01/3.29 1066 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = B. [back_rewrite(984),rewrite([1044(7),1044(16)])].
% 3.01/3.29 1070 multiply(multiply(c_0,multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),C)))),multiply(A,inverse(C))),inverse(C))),inverse(multiply(inverse(C),C))) = inverse(C). [back_rewrite(964),rewrite([1044(10)])].
% 3.01/3.29 1216 multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(E,multiply(F,V6)))))),multiply(D,inverse(multiply(E,multiply(F,V6)))))))),multiply(C,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(multiply(inverse(multiply(F,V7)),multiply(F,V6))),multiply(inverse(multiply(V8,V7)),multiply(V8,V6))))))))). [back_rewrite(561),rewrite([1044(11),1044(28),1045(31),1044(31),1045(34),1044(32)])].
% 3.01/3.29 1227 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),multiply(inverse(multiply(F,D)),multiply(F,E))))))),inverse(multiply(inverse(multiply(V6,multiply(C,E))),multiply(V6,multiply(C,E))))) = B. [back_rewrite(512),rewrite([1044(11),1044(14)])].
% 3.01/3.29 1240 multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(D,E)))))),multiply(A,inverse(multiply(C,multiply(D,E))))) = multiply(multiply(inverse(multiply(F,inverse(B))),multiply(F,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(multiply(inverse(multiply(D,V6)),multiply(D,E))),multiply(inverse(multiply(V7,V6)),multiply(V7,E))))))). [back_rewrite(474),rewrite([1044(22),1044(25)])].
% 3.01/3.29 1280 multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(B,multiply(E,F))))),multiply(D,inverse(multiply(E,F))))))),multiply(C,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(multiply(V6,F)),multiply(V6,F)))))))). [back_rewrite(411),rewrite([1044(9),1044(24),1045(27),1044(27),1045(30),1044(28)])].
% 3.01/3.29 1288 multiply(inverse(multiply(A,B)),multiply(A,c_0)) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(multiply(E,inverse(multiply(multiply(multiply(B,multiply(E,inverse(F))),inverse(multiply(inverse(F),F))),F))),V6)))),multiply(D,inverse(V6)))))),multiply(C,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(V6),V6))))))). [back_rewrite(397),rewrite([1044(6),1044(29),1045(32),1044(32),1045(35),1044(33)])].
% 3.01/3.29 1291 inverse(multiply(A,inverse(multiply(multiply(multiply(B,multiply(A,inverse(multiply(C,c_0)))),inverse(multiply(multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(F),F)),F)))),multiply(E,inverse(F)))))),multiply(D,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(F),F))))))))),multiply(C,c_0))))) = B. [back_rewrite(394),rewrite([1044(4),1044(22),1045(25),1044(25),1045(28),1044(26),1044(37)])].
% 3.01/3.29 1354 multiply(multiply(multiply(A,multiply(B,inverse(C))),inverse(multiply(inverse(C),C))),C) = multiply(multiply(multiply(A,multiply(B,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(D),D))). [back_rewrite(192),rewrite([1044(4),1044(7)]),flip(a)].
% 3.01/3.29 1355 multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))) = multiply(D,inverse(multiply(multiply(multiply(B,multiply(D,inverse(E))),inverse(multiply(inverse(E),E))),E))). [back_rewrite(191),rewrite([1044(6),1044(9)])].
% 3.01/3.29 1359 multiply(multiply(inverse(inverse(A)),multiply(multiply(inverse(B),multiply(multiply(multiply(inverse(multiply(C,inverse(B))),multiply(C,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(A),A))))),inverse(A))),inverse(A))),inverse(multiply(inverse(A),A))) = inverse(A). [back_rewrite(187),rewrite([1044(10),1044(13)])].
% 3.01/3.29 1364 multiply(inverse(A),multiply(multiply(multiply(inverse(multiply(B,inverse(A))),multiply(B,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(C),C))))),inverse(C))) = multiply(multiply(inverse(multiply(D,inverse(inverse(C)))),multiply(D,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(C),C))))). [back_rewrite(181),rewrite([1044(8),1044(11),1044(25),1044(28)])].
% 3.01/3.29 1369 multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,D))))),multiply(A,inverse(multiply(C,D)))) = multiply(multiply(inverse(multiply(E,inverse(B))),multiply(E,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(multiply(F,D)),multiply(F,D)))))). [back_rewrite(159),rewrite([1044(18),1044(21)])].
% 3.01/3.29 1388 multiply(inverse(A),multiply(multiply(inverse(multiply(multiply(inverse(multiply(B,inverse(multiply(C,D)))),multiply(B,inverse(D))),inverse(multiply(A,multiply(inverse(D),D))))),C),inverse(multiply(inverse(D),D)))) = multiply(multiply(inverse(multiply(E,c_0)),multiply(E,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))))). [back_rewrite(76),rewrite([1044(24),1044(31),1044(34)])].
% 3.01/3.29 1399 multiply(inverse(inverse(A)),multiply(multiply(inverse(B),multiply(multiply(inverse(multiply(C,inverse(multiply(B,A)))),multiply(C,inverse(A))),inverse(A))),inverse(A))) = multiply(multiply(inverse(multiply(D,inverse(inverse(A)))),multiply(D,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(A),A))))). [back_rewrite(40),rewrite([1044(24),1044(27)])].
% 3.01/3.29 1400 multiply(inverse(multiply(A,inverse(inverse(B)))),multiply(A,c_0)) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(D),multiply(multiply(inverse(multiply(E,inverse(multiply(D,B)))),multiply(E,inverse(B))),inverse(B)))))),multiply(C,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(B),B))))))). [back_rewrite(39),rewrite([1044(8),1044(25),1045(28),1044(28),1045(31),1044(29)])].
% 3.01/3.29 1412 multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(C))) = multiply(multiply(inverse(multiply(D,inverse(inverse(C)))),multiply(D,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(C),C))))). [back_rewrite(12),rewrite([1044(19),1044(22)])].
% 3.01/3.29 1415 multiply(multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(C,D)),multiply(C,inverse(E))),inverse(multiply(inverse(E),E))),E))),D))))),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(C,D)),multiply(C,inverse(E))),inverse(multiply(inverse(E),E))),E))),D))) = B. [back_rewrite(232),rewrite([1061(18),1061(21)])].
% 3.01/3.29 1433 inverse(inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(A),A))))))) = c_0. [para(1045(a,1),1044(a,1,1,1,1))].
% 3.01/3.29 1441 multiply(inverse(multiply(A,inverse(B))),multiply(A,c_0)) = multiply(multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(multiply(B,inverse(multiply(inverse(E),E)))))),multiply(D,c_0))))),multiply(C,c_0)),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(E),E))))))))). [back_rewrite(1056),rewrite([1433(29),1433(32)])].
% 3.01/3.29 1499 inverse(multiply(A,inverse(multiply(multiply(inverse(multiply(c_0,inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(C),C))),C)))) = multiply(multiply(inverse(multiply(D,c_0)),multiply(D,inverse(multiply(A,inverse(C))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C))))). [para(1045(a,1),22(a,1,1,1,1,2)),flip(a)].
% 3.01/3.29 1556 inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)). [para(11(a,1),974(a,1,1,1,1)),rewrite([11(12)])].
% 3.01/3.29 1646 multiply(inverse(multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))),B) = multiply(inverse(D),multiply(multiply(inverse(multiply(E,inverse(multiply(D,multiply(inverse(C),C))))),multiply(E,inverse(multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))). [para(4(a,1),23(a,1,1,1,2,1,1))].
% 3.01/3.29 1729 multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(inverse(D),D))) = B. [para(1556(a,1),1(a,1,2))].
% 3.01/3.29 1731 multiply(inverse(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),C))),D)))),multiply(A,inverse(D))) = B. [para(1556(a,1),11(a,1,1,1,2,1,1,2))].
% 3.01/3.29 1751 inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))),C))),B)) = inverse(multiply(inverse(D),D)). [para(230(a,1),1556(a,1,1))].
% 3.01/3.29 1763 inverse(multiply(inverse(A),A)) = inverse(multiply(c_0,inverse(multiply(inverse(B),B)))). [para(1044(a,1),1556(a,1,1,1)),flip(a)].
% 3.01/3.29 1773 multiply(inverse(A),A) = multiply(inverse(B),B). [back_rewrite(1646),rewrite([1729(15),1729(18)])].
% 3.01/3.29 1780 multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) = multiply(inverse(multiply(D,B)),multiply(D,A)). [para(1773(a,1),151(a,1,2))].
% 3.01/3.29 1798 multiply(inverse(A),A) = multiply(c_0,inverse(multiply(inverse(B),B))). [para(1044(a,1),1773(a,1,1)),flip(a)].
% 3.01/3.29 1799 multiply(inverse(A),A) = multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(B),B))))). [para(1045(a,1),1773(a,1,1)),flip(a)].
% 3.01/3.29 1803 multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)) = multiply(inverse(C),C). [para(1556(a,1),1773(a,1,1))].
% 3.01/3.29 2315 multiply(multiply(c_0,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(C),C))) = inverse(multiply(inverse(B),B)). [para(1803(a,1),36(a,1,2,1)),rewrite([1044(4),1729(17)])].
% 3.01/3.29 3449 multiply(inverse(multiply(multiply(c_0,multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))),inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C))) = D. [para(1803(a,1),48(a,1,1,1,1,2,1,1,1,2,1)),rewrite([1044(4)])].
% 3.01/3.29 3536 inverse(multiply(multiply(inverse(A),A),inverse(multiply(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))) = multiply(inverse(multiply(multiply(inverse(D),multiply(multiply(inverse(multiply(E,inverse(multiply(D,C)))),multiply(E,inverse(C))),inverse(C))),inverse(multiply(B,multiply(inverse(C),C))))),inverse(C)). [para(48(a,1),48(a,1,1,1,2,1,1)),rewrite([1729(47)]),flip(a)].
% 3.01/3.29 4051 multiply(multiply(c_0,inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B))) = inverse(multiply(inverse(A),A)). [para(1803(a,1),54(a,1,2,1)),rewrite([1044(4),1044(5),1729(18),2315(13)])].
% 3.01/3.29 4826 inverse(multiply(inverse(A),A)) = multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))). [para(1798(a,2),4051(a,1,1)),flip(a)].
% 3.01/3.29 4902 inverse(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),multiply(inverse(C),C)))) = c_0. [para(4826(a,1),1044(a,1,1,1,1))].
% 3.01/3.29 4903 inverse(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B)))) = c_0. [para(4826(a,1),1044(a,1,1))].
% 3.01/3.29 4904 inverse(multiply(c_0,inverse(multiply(inverse(A),A)))) = multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))). [para(1044(a,1),4826(a,1,1,1))].
% 3.01/3.29 4907 inverse(inverse(multiply(c_0,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B)))))) = c_0. [para(4826(a,1),1045(a,1,1,1,2))].
% 3.01/3.29 4934 inverse(multiply(inverse(A),A)) = inverse(multiply(c_0,multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))))). [para(4826(a,1),1763(a,2,1,2))].
% 3.01/3.29 5047 inverse(multiply(multiply(inverse(A),A),inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(B),B)))))))) = c_0. [para(1045(a,1),4903(a,1,1,2,1,1))].
% 3.01/3.29 5052 inverse(multiply(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))) = c_0. [para(1556(a,1),4903(a,1,1,1,1))].
% 3.01/3.29 5118 inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))))) = c_0. [para(4826(a,1),4903(a,1,1,2))].
% 3.01/3.29 5512 inverse(inverse(multiply(c_0,multiply(multiply(inverse(A),A),inverse(multiply(c_0,inverse(multiply(inverse(B),B)))))))) = c_0. [para(1044(a,1),4907(a,1,1,1,2,2,1,1))].
% 3.01/3.29 8040 inverse(multiply(c_0,inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(c_0,inverse(multiply(inverse(B),B)))),multiply(c_0,inverse(multiply(inverse(B),B)))))),multiply(c_0,inverse(multiply(inverse(B),B))))))) = multiply(multiply(inverse(multiply(multiply(c_0,multiply(multiply(inverse(C),C),c_0)),inverse(A))),c_0),inverse(multiply(inverse(multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(B),B)))))),multiply(c_0,inverse(multiply(c_0,inverse(multiply(inverse(B),B)))))))). [para(5047(a,1),88(a,1,1,1,1,1,1)),rewrite([1045(10),1045(18),1045(27),1045(38)]),flip(a)].
% 3.01/3.29 8291 multiply(inverse(multiply(inverse(A),B)),multiply(c_0,inverse(multiply(c_0,multiply(multiply(inverse(C),C),inverse(multiply(c_0,inverse(multiply(inverse(D),D))))))))) = multiply(inverse(multiply(E,B)),multiply(E,A)). [para(5512(a,1),1780(a,1,2,1))].
% 3.01/3.29 8387 multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C))),inverse(multiply(inverse(D),D))) = inverse(C). [para(1556(a,1),1729(a,1,1,1,1,2))].
% 3.01/3.29 8396 multiply(multiply(inverse(multiply(inverse(A),A)),multiply(c_0,inverse(B))),inverse(multiply(inverse(C),C))) = inverse(B). [para(1798(a,2),1729(a,1,1,1,1))].
% 3.01/3.29 8407 multiply(multiply(inverse(multiply(inverse(A),A)),multiply(c_0,c_0)),inverse(multiply(inverse(B),B))) = c_0. [para(1799(a,2),1729(a,1,1,1,1)),rewrite([1044(8)])].
% 3.01/3.29 8448 multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),multiply(inverse(C),C)) = multiply(inverse(D),multiply(multiply(inverse(multiply(E,inverse(multiply(D,F)))),multiply(E,inverse(F))),A)). [para(1729(a,1),1780(a,2,1,1))].
% 3.01/3.29 8460 multiply(inverse(A),A) = multiply(multiply(inverse(multiply(B,c_0)),multiply(B,c_0)),inverse(multiply(inverse(C),C))). [para(4826(a,2),1729(a,1,1,1,1,2,1)),rewrite([1044(4),1044(7)]),flip(a)].
% 3.01/3.29 8461 multiply(multiply(c_0,multiply(multiply(inverse(A),A),inverse(B))),inverse(multiply(inverse(C),C))) = inverse(B). [para(4826(a,2),1729(a,1,1,1,1)),rewrite([1044(4)])].
% 3.01/3.29 8506 multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(multiply(A,C)))),multiply(B,inverse(C))),inverse(D))),inverse(multiply(inverse(E),E))) = inverse(D). [para(1729(a,1),1729(a,1,1,1,1))].
% 3.01/3.29 8507 multiply(multiply(inverse(multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(D,multiply(inverse(E),E))))),B),inverse(multiply(inverse(F),F))) = D. [para(1729(a,1),1729(a,1,1,2))].
% 3.01/3.29 8515 multiply(inverse(multiply(multiply(c_0,inverse(multiply(inverse(A),A))),inverse(multiply(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))))),inverse(multiply(inverse(A),A))) = B. [back_rewrite(3449),rewrite([8387(15)])].
% 3.01/3.29 8517 multiply(A,inverse(multiply(inverse(B),B))) = multiply(A,inverse(multiply(inverse(C),C))). [back_rewrite(270),rewrite([8506(15)])].
% 3.01/3.29 8550 multiply(inverse(A),A) = multiply(multiply(inverse(multiply(B,c_0)),multiply(B,c_0)),inverse(multiply(c_0,inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))). [back_rewrite(1388),rewrite([8507(19)])].
% 3.01/3.29 8573 multiply(A,inverse(multiply(inverse(B),B))) = multiply(A,inverse(multiply(c_0,inverse(multiply(inverse(C),C))))). [para(1044(a,1),8517(a,1,2,1,1)),flip(a)].
% 3.01/3.29 8860 multiply(inverse(multiply(multiply(inverse(multiply(inverse(A),A)),multiply(c_0,c_0)),B)),c_0) = multiply(inverse(multiply(C,B)),multiply(C,inverse(multiply(inverse(D),D)))). [para(8407(a,1),151(a,1,2))].
% 3.01/3.29 8939 multiply(multiply(inverse(multiply(c_0,multiply(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),inverse(multiply(inverse(C),C))))),multiply(c_0,c_0)),inverse(multiply(inverse(D),D))) = c_0. [para(5052(a,1),8407(a,1,1,1,1,1))].
% 3.01/3.29 9127 multiply(inverse(multiply(multiply(inverse(multiply(inverse(A),A)),multiply(c_0,inverse(B))),C)),inverse(B)) = multiply(inverse(multiply(D,C)),multiply(D,inverse(multiply(inverse(E),E)))). [para(8396(a,1),151(a,1,2))].
% 3.01/3.29 9213 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(c_0,multiply(inverse(B),C)). [para(8460(a,1),151(a,1,1,1)),rewrite([4903(11)]),flip(a)].
% 3.01/3.29 9365 inverse(multiply(inverse(A),A)) = c_0. [para(8460(a,2),4903(a,1,1))].
% 3.01/3.29 9387 inverse(multiply(multiply(inverse(A),A),multiply(inverse(B),B))) = c_0. [para(8460(a,2),5118(a,1,1,2))].
% 3.01/3.29 9393 inverse(c_0) = c_0. [para(8460(a,2),4902(a,1,1,1,1)),rewrite([9387(6)])].
% 3.01/3.29 9399 inverse(multiply(c_0,c_0)) = multiply(inverse(A),A). [para(8460(a,2),4904(a,2)),rewrite([9365(4)])].
% 3.01/3.30 9413 inverse(multiply(c_0,multiply(inverse(A),A))) = c_0. [para(8460(a,2),4934(a,2,1,2)),rewrite([9365(3)]),flip(a)].
% 3.01/3.30 9430 multiply(inverse(multiply(c_0,c_0)),c_0) = inverse(multiply(c_0,c_0)). [para(8460(a,2),1729(a,1,1,1,1,2,1)),rewrite([9365(3),9365(6),9393(5),9399(6,R),9365(7),9399(12,R)])].
% 3.01/3.30 9433 inverse(multiply(c_0,c_0)) = multiply(c_0,c_0). [para(8460(a,1),8517(a,1)),rewrite([9399(6,R),9365(7),9430(6),9365(7),9393(6),9365(8)])].
% 3.01/3.30 9435 multiply(multiply(c_0,c_0),c_0) = multiply(c_0,c_0). [para(8460(a,1),8517(a,2)),rewrite([9365(3),9393(2),9365(4),9399(9,R),9433(7),9365(9)]),flip(a)].
% 3.01/3.30 9443 multiply(multiply(c_0,multiply(inverse(A),A)),c_0) = c_0. [para(8460(a,2),8461(a,1,1,2)),rewrite([9365(7),9365(9)])].
% 3.01/3.30 9444 multiply(c_0,multiply(c_0,c_0)) = multiply(c_0,c_0). [para(8460(a,1),8573(a,1)),rewrite([9399(6,R),9433(4),9365(6),9435(5),9365(6),9393(5),9365(8),9433(8)]),flip(a)].
% 3.01/3.30 9445 multiply(A,multiply(c_0,c_0)) = multiply(A,c_0). [para(8460(a,1),8573(a,2,2,1,2,1)),rewrite([9365(3),9399(9,R),9433(7),9365(9),9435(8),9433(7),9444(7),9433(6)]),flip(a)].
% 3.01/3.30 9447 multiply(multiply(c_0,multiply(c_0,inverse(A))),c_0) = inverse(A). [para(8460(a,1),8396(a,1,2,1)),rewrite([9365(3),9399(11,R),9433(9),9365(11),9435(10),9433(9),9445(9)])].
% 3.01/3.30 9464 multiply(inverse(multiply(multiply(c_0,multiply(c_0,inverse(A))),B)),inverse(A)) = multiply(c_0,multiply(inverse(B),c_0)). [back_rewrite(9127),rewrite([9365(3),9365(14),9213(14)])].
% 3.01/3.30 9468 multiply(c_0,c_0) = c_0. [back_rewrite(8939),rewrite([9365(4),9365(8),9443(7),9433(4),9445(7),9435(5),9365(6),9435(5)])].
% 3.01/3.30 9475 multiply(inverse(multiply(c_0,A)),c_0) = multiply(c_0,multiply(inverse(A),c_0)). [back_rewrite(8860),rewrite([9365(3),9468(4),9468(3),9365(10),9213(10)])].
% 3.01/3.30 9515 multiply(inverse(A),A) = c_0. [back_rewrite(8550),rewrite([9399(8,R),9468(5),9393(4),9365(7),9413(9),9468(6),9393(5),9468(5)])].
% 3.01/3.30 9516 multiply(c_0,multiply(inverse(inverse(multiply(multiply(A,c_0),c_0))),c_0)) = A. [back_rewrite(8515),rewrite([9515(3),9393(3),9468(3),9515(3),9393(3),9515(4),9468(4),9393(3),9515(4),9393(4),9515(5),9468(5),9468(4),9393(3),9515(5),9393(5),9515(6),9468(6),9515(10),9393(10),9475(10)])].
% 3.01/3.30 9524 multiply(inverse(A),multiply(multiply(c_0,multiply(inverse(inverse(multiply(A,B))),inverse(B))),C)) = multiply(inverse(multiply(inverse(C),c_0)),c_0). [back_rewrite(8448),rewrite([9515(3),9393(3),9515(6),9213(14)]),flip(a)].
% 3.01/3.30 9531 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(c_0,multiply(inverse(B),A)). [back_rewrite(8291),rewrite([9515(7),9515(9),9393(9),9468(9),9393(8),9468(8),9468(7),9393(6),9468(6),9213(9)])].
% 3.01/3.30 9533 inverse(multiply(c_0,inverse(multiply(multiply(A,c_0),c_0)))) = multiply(multiply(c_0,multiply(inverse(inverse(A)),c_0)),c_0). [back_rewrite(8040),rewrite([9515(4),9393(4),9468(4),9393(3),9515(5),9393(5),9468(5),9468(4),9393(3),9515(6),9393(6),9468(6),9515(11),9468(12),9468(11),9475(14),9515(18),9393(18),9468(18),9393(17),9468(17),9393(16),9515(19),9393(19),9468(19),9393(18),9468(18),9468(17),9393(16)])].
% 3.01/3.30 9594 multiply(multiply(c_0,multiply(inverse(inverse(A)),c_0)),c_0) = multiply(c_0,multiply(inverse(inverse(multiply(A,c_0))),c_0)). [back_rewrite(3536),rewrite([9515(2),9515(3),9393(3),9515(4),9468(4),9393(3),9515(4),9393(4),9515(5),9468(5),9468(4),9393(3),9515(4),9393(4),9515(5),9468(5),9393(4),9515(5),9393(5),9515(6),9468(6),9468(5),9468(4),9393(3),9515(5),9393(5),9515(6),9468(6),9393(5),9515(6),9393(6),9515(7),9468(7),9468(6),9533(8),9213(16),9524(19),9531(15),9393(11),9515(15),9464(20)])].
% 3.01/3.30 9670 inverse(multiply(inverse(inverse(multiply(multiply(multiply(c_0,multiply(inverse(A),inverse(B))),c_0),B))),A)) = c_0. [back_rewrite(1751),rewrite([9213(5),9515(7),9393(7),9515(14),9393(14)])].
% 3.01/3.30 9675 multiply(c_0,multiply(inverse(inverse(multiply(multiply(A,c_0),B))),inverse(B))) = A. [back_rewrite(1731),rewrite([9515(2),9393(2),9213(9)])].
% 3.01/3.30 9721 inverse(multiply(A,inverse(multiply(c_0,B)))) = inverse(multiply(A,inverse(B))). [back_rewrite(1499),rewrite([9515(3),9393(3),9468(3),9393(2),9515(3),9393(3),9468(3),9213(13),9393(8),9399(18,R),9468(15),9393(14),9393(14),9447(14)])].
% 3.01/3.30 9756 multiply(c_0,multiply(inverse(inverse(A)),c_0)) = inverse(inverse(multiply(A,c_0))). [back_rewrite(1441),rewrite([9213(6),9515(8),9393(8),9213(14),9721(17),9213(18),9515(23),9393(23),9468(23),9393(22),9468(22),9393(21),9468(21),9393(20),9594(20),9516(20)])].
% 3.01/3.30 9770 multiply(multiply(inverse(inverse(multiply(A,c_0))),c_0),c_0) = A. [back_rewrite(1415),rewrite([9213(6),9756(6),9213(10),9515(12),9393(12),9670(17),9468(7),9393(6),9213(11),9515(13),9393(13),9670(18)])].
% 3.01/3.30 9772 multiply(inverse(inverse(multiply(inverse(A),c_0))),c_0) = multiply(c_0,multiply(c_0,inverse(A))). [back_rewrite(1412),rewrite([9213(8),9524(11),9531(7),9393(3),9213(12),9756(12),9515(13),9393(13),9468(13),9393(12)]),flip(a)].
% 3.01/3.30 9779 multiply(c_0,multiply(c_0,inverse(A))) = inverse(inverse(multiply(inverse(A),c_0))). [back_rewrite(1400),rewrite([9213(7),9756(7),9213(13),9524(16),9531(12),9393(8),9721(13),9721(11),9213(12),9756(12),9515(14),9393(14),9468(14),9393(13),9468(13),9393(12),9772(12)]),flip(a)].
% 3.01/3.30 9780 multiply(inverse(inverse(A)),multiply(inverse(inverse(multiply(inverse(A),c_0))),inverse(A))) = inverse(inverse(multiply(inverse(A),c_0))). [back_rewrite(1399),rewrite([9213(10),9524(13),9531(9),9393(5),9779(7),9213(17),9756(17),9515(18),9393(18),9468(18),9393(17),9772(17),9779(15)])].
% 3.01/3.30 9798 multiply(c_0,multiply(inverse(inverse(multiply(A,multiply(B,C)))),inverse(multiply(B,C)))) = multiply(inverse(inverse(multiply(A,c_0))),c_0). [back_rewrite(1369),rewrite([9213(9),9213(15),9756(15),9399(18,R),9468(17),9393(16),9393(16),9468(16),9393(15)])].
% 3.01/3.30 9802 multiply(inverse(A),multiply(multiply(inverse(inverse(multiply(A,c_0))),c_0),inverse(B))) = inverse(inverse(multiply(inverse(B),c_0))). [back_rewrite(1364),rewrite([9213(7),9756(7),9515(8),9393(8),9468(8),9393(7),9213(17),9756(17),9515(18),9393(18),9468(18),9393(17),9772(17),9779(15)])].
% 3.01/3.30 9803 inverse(inverse(multiply(inverse(A),c_0))) = inverse(A). [back_rewrite(1359),rewrite([9213(9),9756(9),9515(10),9393(10),9468(10),9393(9),9802(12),9780(10),9515(7),9393(7),9772(7),9779(5)])].
% 3.01/3.30 9806 multiply(A,inverse(multiply(multiply(multiply(B,multiply(A,inverse(C))),c_0),C))) = multiply(multiply(multiply(c_0,multiply(inverse(B),c_0)),c_0),c_0). [back_rewrite(1355),rewrite([9213(5),9515(8),9393(8),9468(8),9393(7),9515(9),9393(9),9515(14),9393(14)]),flip(a)].
% 3.01/3.30 9830 inverse(multiply(multiply(multiply(c_0,multiply(inverse(A),c_0)),c_0),c_0)) = A. [back_rewrite(1291),rewrite([9515(7),9393(7),9721(10),9399(11,R),9468(8),9393(7),9393(7),9399(11,R),9468(8),9393(7),9515(10),9393(10),9468(10),9393(9),9468(9),9393(8),9468(8),9393(7),9806(12)])].
% 3.01/3.30 9832 multiply(c_0,multiply(inverse(A),c_0)) = multiply(inverse(A),c_0). [back_rewrite(1288),rewrite([9213(5),9515(10),9393(10),9806(13),9213(21),9675(21),9213(18),9756(18),9830(15),9515(10),9393(10),9468(10),9393(9),9468(9),9393(8)])].
% 3.01/3.30 9838 multiply(inverse(inverse(A)),c_0) = A. [back_rewrite(1280),rewrite([9213(6),9832(6),9213(13),9798(13),9213(16),9803(13),9832(12),9399(16,R),9468(15),9393(14),9393(14),9468(14),9393(13),9468(13),9393(12),9770(12)])].
% 3.01/3.30 9867 multiply(multiply(c_0,A),c_0) = multiply(A,c_0). [back_rewrite(1240),rewrite([9213(11),9798(11),9838(6),9213(8),9838(7),9213(9),9213(14),9399(15,R),9468(8),9393(7),9393(7),9468(7),9393(6)]),flip(a)].
% 3.01/3.30 9880 multiply(multiply(A,c_0),c_0) = A. [back_rewrite(1227),rewrite([9213(6),9838(5),9213(7),9213(12),9399(13,R),9468(6),9393(5),9393(5),9468(5),9393(4),9867(4),9399(8,R),9468(5),9393(4),9393(4)])].
% 3.01/3.30 9888 multiply(c_0,A) = A. [back_rewrite(1216),rewrite([9213(6),9838(5),9213(13),9798(13),9838(8),9213(10),9838(9),9213(12),9213(17),9399(18,R),9468(11),9393(10),9393(10),9468(10),9393(9),9468(9),9393(8),9867(8),9880(6)])].
% 3.01/3.30 9933 multiply(inverse(A),c_0) = inverse(A). [back_rewrite(1070),rewrite([9515(3),9393(3),9888(3),9399(7,R),9888(4),9393(3),9888(4),9888(3),9515(3),9393(3)])].
% 3.01/3.30 9934 inverse(inverse(A)) = A. [back_rewrite(1066),rewrite([9213(6),9933(5),9888(4),9515(5),9393(5),9888(5),9393(4),9933(4),9515(4),9393(4),9933(4)])].
% 3.01/3.30 9935 multiply(A,c_0) = A. [back_rewrite(1065),rewrite([9213(6),9934(3),9888(4),9515(6),9393(6),9888(6),9393(5),9888(5),9393(4),9880(4),9515(3),9393(3),9888(3),9393(2)])].
% 3.01/3.30 10032 multiply(multiply(multiply(A,multiply(B,inverse(C))),C),D) = multiply(A,multiply(B,D)). [back_rewrite(177),rewrite([9515(5),9393(5),9935(5),9213(9),9934(7),9888(7)])].
% 3.01/3.30 10070 multiply(multiply(A,multiply(B,inverse(C))),C) = multiply(A,B). [back_rewrite(1354),rewrite([9515(5),9393(5),9935(5),9935(6),9515(8),9393(8),9935(8),9393(7),9935(7),9515(7),9393(7),9935(7)])].
% 3.01/3.30 10114 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)). [back_rewrite(10032),rewrite([10070(4)])].
% 3.01/3.30 10115 $F # answer(prove_these_axioms_3). [resolve(10114,a,2,a)].
% 3.01/3.30
% 3.01/3.30 % SZS output end Refutation
% 3.01/3.30 ============================== end of proof ==========================
% 3.01/3.30
% 3.01/3.30 ============================== STATISTICS ============================
% 3.01/3.30
% 3.01/3.30 Given=100. Generated=32820. Kept=10114. proofs=1.
% 3.01/3.30 Usable=1. Sos=13. Demods=57. Limbo=44, Disabled=10057. Hints=0.
% 3.01/3.30 Megabytes=21.69.
% 3.01/3.30 User_CPU=2.26, System_CPU=0.03, Wall_clock=3.
% 3.01/3.30
% 3.01/3.30 ============================== end of statistics =====================
% 3.01/3.30
% 3.01/3.30 ============================== end of search =========================
% 3.01/3.30
% 3.01/3.30 THEOREM PROVED
% 3.01/3.30 % SZS status Unsatisfiable
% 3.01/3.30
% 3.01/3.30 Exiting with 1 proof.
% 3.01/3.30
% 3.01/3.30 Process 20891 exit (max_proofs) Mon Jun 13 23:58:22 2022
% 3.01/3.30 Prover9 interrupted
%------------------------------------------------------------------------------