TSTP Solution File: GRP416-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP416-1 : 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 11:19:00 EDT 2022
% Result : Unsatisfiable 1.70s 1.98s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP416-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 13:41:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.70/1.98 ============================== Prover9 ===============================
% 1.70/1.98 Prover9 (32) version 2009-11A, November 2009.
% 1.70/1.98 Process 10671 was started by sandbox2 on n023.cluster.edu,
% 1.70/1.98 Tue Jun 14 13:41:21 2022
% 1.70/1.98 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_10518_n023.cluster.edu".
% 1.70/1.98 ============================== end of head ===========================
% 1.70/1.98
% 1.70/1.98 ============================== INPUT =================================
% 1.70/1.98
% 1.70/1.98 % Reading from file /tmp/Prover9_10518_n023.cluster.edu
% 1.70/1.98
% 1.70/1.98 set(prolog_style_variables).
% 1.70/1.98 set(auto2).
% 1.70/1.98 % set(auto2) -> set(auto).
% 1.70/1.98 % set(auto) -> set(auto_inference).
% 1.70/1.98 % set(auto) -> set(auto_setup).
% 1.70/1.98 % set(auto_setup) -> set(predicate_elim).
% 1.70/1.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.70/1.98 % set(auto) -> set(auto_limits).
% 1.70/1.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.70/1.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.70/1.98 % set(auto) -> set(auto_denials).
% 1.70/1.98 % set(auto) -> set(auto_process).
% 1.70/1.98 % set(auto2) -> assign(new_constants, 1).
% 1.70/1.98 % set(auto2) -> assign(fold_denial_max, 3).
% 1.70/1.98 % set(auto2) -> assign(max_weight, "200.000").
% 1.70/1.98 % set(auto2) -> assign(max_hours, 1).
% 1.70/1.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.70/1.98 % set(auto2) -> assign(max_seconds, 0).
% 1.70/1.98 % set(auto2) -> assign(max_minutes, 5).
% 1.70/1.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.70/1.98 % set(auto2) -> set(sort_initial_sos).
% 1.70/1.98 % set(auto2) -> assign(sos_limit, -1).
% 1.70/1.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.70/1.98 % set(auto2) -> assign(max_megs, 400).
% 1.70/1.98 % set(auto2) -> assign(stats, some).
% 1.70/1.98 % set(auto2) -> clear(echo_input).
% 1.70/1.98 % set(auto2) -> set(quiet).
% 1.70/1.98 % set(auto2) -> clear(print_initial_clauses).
% 1.70/1.98 % set(auto2) -> clear(print_given).
% 1.70/1.98 assign(lrs_ticks,-1).
% 1.70/1.98 assign(sos_limit,10000).
% 1.70/1.98 assign(order,kbo).
% 1.70/1.98 set(lex_order_vars).
% 1.70/1.98 clear(print_given).
% 1.70/1.98
% 1.70/1.98 % formulas(sos). % not echoed (2 formulas)
% 1.70/1.98
% 1.70/1.98 ============================== end of input ==========================
% 1.70/1.98
% 1.70/1.98 % From the command line: assign(max_seconds, 300).
% 1.70/1.98
% 1.70/1.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.70/1.98
% 1.70/1.98 % Formulas that are not ordinary clauses:
% 1.70/1.98
% 1.70/1.98 ============================== end of process non-clausal formulas ===
% 1.70/1.98
% 1.70/1.98 ============================== PROCESS INITIAL CLAUSES ===============
% 1.70/1.98
% 1.70/1.98 ============================== PREDICATE ELIMINATION =================
% 1.70/1.98
% 1.70/1.98 ============================== end predicate elimination =============
% 1.70/1.98
% 1.70/1.98 Auto_denials:
% 1.70/1.98 % copying label prove_these_axioms_2 to answer in negative clause
% 1.70/1.98
% 1.70/1.98 Term ordering decisions:
% 1.70/1.98
% 1.70/1.98 % Assigning unary symbol inverse kb_weight 0 and highest precedence (5).
% 1.70/1.98 Function symbol KB weights: a2=1. b2=1. multiply=1. inverse=0.
% 1.70/1.98
% 1.70/1.98 ============================== end of process initial clauses ========
% 1.70/1.98
% 1.70/1.98 ============================== CLAUSES FOR SEARCH ====================
% 1.70/1.98
% 1.70/1.98 ============================== end of clauses for search =============
% 1.70/1.98
% 1.70/1.98 ============================== SEARCH ================================
% 1.70/1.98
% 1.70/1.98 % Starting search at 0.01 seconds.
% 1.70/1.98
% 1.70/1.98 ============================== PROOF =================================
% 1.70/1.98 % SZS status Unsatisfiable
% 1.70/1.98 % SZS output start Refutation
% 1.70/1.98
% 1.70/1.98 % Proof 1 at 0.91 (+ 0.01) seconds: prove_these_axioms_2.
% 1.70/1.98 % Length of proof is 262.
% 1.70/1.98 % Level of proof is 37.
% 1.70/1.98 % Maximum clause weight is 185.000.
% 1.70/1.98 % Given clauses 32.
% 1.70/1.98
% 1.70/1.98 1 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C # label(single_axiom) # label(axiom). [assumption].
% 1.70/1.98 2 multiply(multiply(inverse(b2),b2),a2) != a2 # label(prove_these_axioms_2) # label(negated_conjecture) # answer(prove_these_axioms_2). [assumption].
% 1.70/1.98 3 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = D. [para(1(a,1),1(a,1,1,2,1,1,1,1))].
% 1.70/1.98 4 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,inverse(C)))),inverse(multiply(inverse(D),D))))). [para(1(a,1),1(a,1,1,2,1,1,1,2,2))].
% 1.70/1.98 8 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,inverse(C)))),inverse(multiply(inverse(D),D))))),multiply(B,inverse(F)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B)))))))))) = F. [para(1(a,1),3(a,1,1,1,1,1,1,2,2)),rewrite([1(41),1(52)])].
% 1.70/1.98 10 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,D))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(F,E)),multiply(F,inverse(D)))),inverse(multiply(inverse(E),E))))). [para(1(a,1),3(a,1,1,2,1,1,1,2,2))].
% 1.70/1.98 15 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(A),A))))) = C. [para(4(a,1),1(a,1))].
% 1.70/1.98 18 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))))) = C. [para(4(a,2),1(a,1,1))].
% 1.70/1.98 36 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(D,C)),multiply(D,E))),inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(A),A)))))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,multiply(V7,inverse(multiply(inverse(multiply(inverse(multiply(V8,V7)),multiply(V8,inverse(E)))),inverse(multiply(inverse(V7),V7)))))))),inverse(multiply(inverse(F),F))))). [para(4(a,1),4(a,2,2,1,1,1,2,2))].
% 1.70/1.98 40 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))) = multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B))). [para(15(a,1),1(a,1,1,2,1,1,1,2))].
% 1.70/1.98 49 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,C))),inverse(multiply(inverse(D),D))))). [para(4(a,1),15(a,1,2,1,1,1,2,2,1)),rewrite([1(15)])].
% 1.70/1.98 64 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))))) = inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))). [para(15(a,1),18(a,1,1,1,2,1,1,1,2))].
% 1.70/1.98 67 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),inverse(multiply(inverse(B),B))) = C. [para(40(a,1),1(a,1))].
% 1.70/1.98 105 multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(B),B)))))))) = C. [para(40(a,2),4(a,2,2,1)),rewrite([1(13)]),flip(a)].
% 1.70/1.98 113 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(inverse(E))))),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(A),A))))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),inverse(multiply(inverse(F),F))))). [para(40(a,1),15(a,1,2,1,1,1,2,2,1))].
% 1.70/1.98 118 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,C)))))),inverse(multiply(inverse(B),B)))) = C. [para(40(a,1),18(a,1,1))].
% 1.70/1.98 121 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B)))))),A)),E)),inverse(multiply(inverse(A),A)))))) = multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B)))))))),multiply(F,inverse(inverse(E))))),inverse(multiply(D,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B))))))))). [para(18(a,1),40(a,2,2,1,1))].
% 1.70/1.98 132 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))) = inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D)))))). [para(40(a,2),40(a,2))].
% 1.70/1.98 169 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D))))))),A)),D)),inverse(multiply(inverse(A),A)))))) = multiply(inverse(C),C). [para(67(a,1),1(a,1,1,2,1,1,1,2))].
% 1.70/1.98 183 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(D,C)),multiply(D,inverse(E)))),inverse(multiply(inverse(C),C))))))))))),inverse(multiply(inverse(B),B))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,E))),inverse(multiply(inverse(F),F))))). [para(4(a,1),67(a,1,1,1,2,2,1,1,2))].
% 1.70/1.98 184 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B))) = multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,C))),inverse(multiply(inverse(B),B))). [para(4(a,1),67(a,1,1,1,2,2,1)),rewrite([1(15)])].
% 1.70/1.98 188 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))) = multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,inverse(inverse(multiply(E,C)))))),inverse(multiply(inverse(E),E))). [para(18(a,1),67(a,1,1,1,2,2,1,1,2)),flip(a)].
% 1.70/1.98 190 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D))))))))),multiply(A,inverse(inverse(E))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D)))))))),inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D)))))))))) = inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(multiply(inverse(D),E)),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))). [para(67(a,1),40(a,1,1,2,1,1,1,1,1)),flip(a)].
% 1.70/1.98 194 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(inverse(E))))),inverse(multiply(inverse(D),D))))))))),inverse(multiply(inverse(B),B))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),inverse(multiply(inverse(F),F))))). [para(40(a,1),67(a,1,1,1,2,2,1,1,2))].
% 1.70/1.98 195 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(inverse(E))))),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(B),B))) = multiply(inverse(multiply(inverse(multiply(D,B)),E)),inverse(multiply(inverse(B),B))). [para(40(a,1),67(a,1,1,1,2,2,1))].
% 1.70/1.98 196 multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),D)),inverse(multiply(inverse(B),B))))))),multiply(A,inverse(inverse(multiply(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),D)),inverse(multiply(inverse(B),B))))),inverse(E))))))),inverse(multiply(multiply(inverse(multiply(inverse(multiply(F,C)),multiply(F,inverse(inverse(D))))),inverse(multiply(inverse(C),C))),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),D)),inverse(multiply(inverse(B),B)))))))) = E. [para(40(a,1),67(a,1,2,1,1))].
% 1.70/1.98 206 inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = multiply(inverse(A),A). [para(67(a,1),67(a,1,1,1,2,2,1,1)),rewrite([190(38)])].
% 1.70/1.98 208 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D))))). [back_rewrite(113),rewrite([195(21)])].
% 1.70/1.98 211 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(D)))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C)))))) = multiply(B,inverse(inverse(multiply(C,inverse(multiply(D,inverse(multiply(inverse(C),C)))))))). [para(1(a,1),105(a,1,2,1,1,2,1,1)),flip(a)].
% 1.70/1.98 215 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,D)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(B,E)),D)),inverse(multiply(inverse(E),E)))))). [para(105(a,1),3(a,1,1,2,1,1,1,2))].
% 1.70/1.98 289 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B)))) = inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,C))),inverse(multiply(inverse(B),B)))). [para(4(a,1),118(a,1,1,1,1,2,2,1)),rewrite([1(15)])].
% 1.70/1.98 295 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B)))))))),multiply(A,inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B)))))),E)))))),inverse(multiply(D,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,D))),inverse(multiply(inverse(B),B)))))))))) = E. [para(18(a,1),118(a,1,1,2,1,1))].
% 1.70/1.98 312 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,D)))))))),multiply(A,inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,D))))))),inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,D))))))))) = multiply(inverse(C),C). [para(118(a,1),67(a,1,1,1,2,2,1))].
% 1.70/1.98 316 multiply(inverse(multiply(A,B)),inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(B,C))))),multiply(A,inverse(inverse(multiply(B,C)))))))))))) = inverse(multiply(inverse(B),B)). [para(118(a,1),105(a,1,2,1,1,2,1,1))].
% 1.70/1.98 323 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),inverse(multiply(inverse(C),C)))))),multiply(A,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),inverse(multiply(inverse(C),C))))))) = multiply(inverse(multiply(D,multiply(C,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(D)))),inverse(multiply(inverse(C),C))))))). [para(1(a,1),184(a,1,1,1,1)),flip(a)].
% 1.70/1.98 328 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),inverse(multiply(inverse(C),C)))))),multiply(A,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),inverse(multiply(inverse(C),C))))))) = multiply(inverse(multiply(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,inverse(D)))),inverse(multiply(inverse(F),F))))),multiply(C,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,D))),inverse(multiply(inverse(C),C))))))). [para(4(a,1),184(a,1,1,1,1)),flip(a)].
% 1.70/1.98 360 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,C))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))) = multiply(inverse(multiply(D,multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,inverse(inverse(multiply(B,D)))))),C))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))). [para(118(a,1),184(a,1,1,1,1)),flip(a)].
% 1.70/1.98 366 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),inverse(multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,inverse(E)))),inverse(multiply(inverse(F),F))))),multiply(D,inverse(V7)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),inverse(multiply(inverse(D),D)))))))))))),inverse(multiply(inverse(A),A)))))) = multiply(V8,inverse(multiply(inverse(multiply(inverse(multiply(V9,V8)),multiply(V9,V7))),inverse(multiply(inverse(V8),V8))))). [para(8(a,1),4(a,2,2,1,1,1,2,2))].
% 1.70/1.98 395 inverse(multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))),multiply(D,inverse(E)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(F,D)),multiply(F,C))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(F,D)),multiply(F,C))),inverse(multiply(inverse(D),D)))))))) = multiply(inverse(multiply(inverse(multiply(F,D)),multiply(F,C))),inverse(inverse(multiply(inverse(multiply(inverse(D),D)),inverse(multiply(E,inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))))). [para(8(a,1),105(a,1,2,1,1,2,1,1)),flip(a)].
% 1.70/1.98 427 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),inverse(multiply(inverse(D),D)))),multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),inverse(inverse(multiply(inverse(multiply(inverse(D),D)),inverse(multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))))))))),inverse(multiply(inverse(A),A)))))) = multiply(V6,inverse(multiply(inverse(multiply(inverse(multiply(V7,V6)),multiply(V7,F))),inverse(multiply(inverse(V6),V6))))). [back_rewrite(366),rewrite([395(53)])].
% 1.70/1.98 430 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),inverse(multiply(inverse(multiply(multiply(inverse(B),B),multiply(inverse(multiply(inverse(B),B)),inverse(C)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))))))) = C. [para(206(a,1),1(a,1,1,2,1,1,1,1))].
% 1.70/1.98 467 multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))),inverse(multiply(inverse(multiply(multiply(inverse(A),A),C)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))))),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))))))))) = C. [para(206(a,1),105(a,1,2,1,1,2,1,1,1,1))].
% 1.70/1.98 476 inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(multiply(inverse(A),A),inverse(multiply(inverse(A),A)))))))))) = multiply(inverse(A),A). [para(184(a,1),206(a,1,1,2,1)),rewrite([211(25)])].
% 1.70/1.98 552 multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),inverse(multiply(inverse(C),C)))))),multiply(A,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),inverse(multiply(inverse(C),C))))))) = multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(B,F)),D)),inverse(multiply(inverse(F),F)))))),multiply(C,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(B,C)),D)),inverse(multiply(inverse(C),C))))))). [para(208(a,1),184(a,1,1,1,1,1)),flip(a)].
% 1.70/1.98 556 multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),inverse(multiply(inverse(multiply(multiply(inverse(B),B),C)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),D)),C)),inverse(multiply(inverse(D),D))))). [para(206(a,1),208(a,1,2,1,1,1,1))].
% 1.70/1.98 557 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(A),A))))) = multiply(B,inverse(multiply(multiply(inverse(B),B),inverse(multiply(inverse(B),B))))). [para(206(a,1),208(a,1,2,1,1)),flip(a)].
% 1.70/1.98 636 inverse(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))),inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))))),multiply(D,E))),inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(B,F)),C)),inverse(multiply(inverse(F),F)))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))))))))) = E. [para(132(a,1),18(a,1,1,1,2,1,2,1,1))].
% 1.70/1.98 637 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))))),E)),inverse(multiply(C,inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))))))))) = inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),inverse(multiply(inverse(F),F)))))). [para(18(a,1),132(a,1,1,2,1,2,1,1))].
% 1.70/1.98 639 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),D)),inverse(multiply(inverse(B),B))))),A)),E)),inverse(multiply(inverse(A),A)))))) = multiply(inverse(multiply(inverse(multiply(F,multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),D)),inverse(multiply(inverse(B),B))))))),multiply(F,inverse(inverse(E))))),inverse(multiply(inverse(multiply(V6,inverse(multiply(inverse(multiply(inverse(multiply(C,V6)),D)),inverse(multiply(inverse(V6),V6)))))),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),D)),inverse(multiply(inverse(B),B)))))))). [para(132(a,1),40(a,2,2,1,1))].
% 1.70/1.98 652 inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))))) = inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,A)),multiply(E,inverse(inverse(multiply(A,B)))))),D)),C)),inverse(multiply(inverse(D),D)))))). [para(118(a,1),132(a,1,1,2,1,1,1,1))].
% 1.70/1.98 661 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))))),inverse(multiply(inverse(multiply(inverse(D),D)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))))),inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(B,E)),C)),inverse(multiply(inverse(E),E)))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))))))))))) = multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))). [para(132(a,1),206(a,1,1,2,1,2,1,2,1,1))].
% 1.70/1.98 663 inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),inverse(multiply(inverse(multiply(multiply(inverse(B),B),C)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))))))) = inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),D)),C)),inverse(multiply(inverse(D),D)))))). [para(206(a,1),132(a,1,1,2,1,1,1,1))].
% 1.70/1.98 670 inverse(multiply(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(multiply(inverse(A),A),inverse(multiply(inverse(A),A))))))))),inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(multiply(inverse(A),A),inverse(multiply(inverse(A),A))))))))))),C)),inverse(multiply(multiply(inverse(A),A),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(multiply(inverse(A),A),inverse(multiply(inverse(A),A))))))))))))))) = inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D)))))). [para(476(a,1),132(a,1,1,2,1,2,1,1))].
% 1.70/1.98 679 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),D)),C)),inverse(multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(multiply(inverse(B),B),multiply(D,E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),D)),C)),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),D)),C)),inverse(multiply(inverse(D),D)))))))))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,inverse(E)))),inverse(multiply(inverse(F),F))))). [para(169(a,1),4(a,1,1,2,1,1,1,1))].
% 1.70/1.98 683 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))) = multiply(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,inverse(inverse(multiply(F,inverse(V6))))))),D)),V6)),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(V7,multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,inverse(inverse(multiply(F,inverse(V6))))))),D)),V6)),inverse(multiply(inverse(D),D))))))),multiply(V7,inverse(C)))),inverse(multiply(multiply(inverse(F),F),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,inverse(inverse(multiply(F,inverse(V6))))))),D)),V6)),inverse(multiply(inverse(D),D)))))))))). [para(169(a,1),4(a,2,2,1,2,1,1))].
% 1.70/1.98 695 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),D)),C)),inverse(multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(multiply(inverse(B),B),E)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),D)),C)),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),D)),C)),inverse(multiply(inverse(D),D)))))))))) = multiply(inverse(multiply(inverse(multiply(F,D)),multiply(F,inverse(inverse(E))))),inverse(multiply(inverse(D),D))). [para(169(a,1),40(a,1,1,2,1,1,1,1))].
% 1.70/1.98 697 inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D))))))),A)),D)),inverse(multiply(inverse(A),A))))),inverse(multiply(inverse(multiply(inverse(multiply(E,multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D))))))),A)),D)),inverse(multiply(inverse(A),A))))))),F)),inverse(multiply(multiply(inverse(C),C),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(D))))))),A)),D)),inverse(multiply(inverse(A),A))))))))))) = multiply(inverse(multiply(inverse(multiply(V6,E)),multiply(V6,inverse(inverse(F))))),inverse(multiply(inverse(E),E))). [para(169(a,1),40(a,1,1,2,1,2,1,1))].
% 1.70/1.98 707 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(inverse(E))))))),multiply(B,inverse(inverse(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(D,F)),E)),inverse(multiply(inverse(F),F))))))))))),A)),multiply(inverse(D),D))),inverse(multiply(inverse(A),A)))))) = multiply(inverse(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(inverse(E)))))),inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(inverse(E)))))). [para(40(a,2),169(a,1,1,2,1,1,1,1,1,1,1,2,2,1,1))].
% 1.70/1.98 721 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,D)))))),A)),multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,inverse(inverse(multiply(F,D)))))),inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(A),A)))))) = multiply(inverse(C),C). [para(118(a,1),169(a,1,1,2,1,1,1,1,1,1,1,2,2,1,1,2))].
% 1.70/1.98 772 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(D))))),A)),inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(C,E)),D)),inverse(multiply(inverse(E),E)))))))),inverse(multiply(inverse(A),A))))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(F),F))))). [para(40(a,2),49(a,1,2,1,1,1,2))].
% 1.70/1.98 798 multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))),inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))))),multiply(D,E))),inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(B,F)),C)),inverse(multiply(inverse(F),F)))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))))))) = multiply(V6,inverse(multiply(inverse(multiply(inverse(multiply(V7,V6)),multiply(V7,E))),inverse(multiply(inverse(V6),V6))))). [para(132(a,1),49(a,1,2,1,2,1,1))].
% 1.70/1.98 843 multiply(A,inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(D))))),inverse(multiply(inverse(C),C))),inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(D))))),inverse(multiply(inverse(C),C))))),E)),inverse(multiply(inverse(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(C,F)),D)),inverse(multiply(inverse(F),F))))))),multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(D))))),inverse(multiply(inverse(C),C))))))))))) = E. [para(64(a,2),105(a,1,2,1,1,2,1,2,1,1))].
% 1.70/1.98 849 inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(B,C))))),multiply(A,inverse(inverse(multiply(B,C))))))))))) = multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))). [para(118(a,1),64(a,1,1,1,2,1,1)),rewrite([211(41)])].
% 1.70/1.98 868 multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))))),multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))),multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))). [para(64(a,2),206(a,2,1)),rewrite([206(85)]),flip(a)].
% 1.70/1.98 869 inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),inverse(multiply(inverse(multiply(multiply(inverse(B),B),C)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))),inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))))))))) = multiply(inverse(B),inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))))))). [para(206(a,1),64(a,1,1,1,2,1,1,1,1)),rewrite([211(75)])].
% 1.70/1.98 894 inverse(inverse(multiply(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B))),inverse(multiply(inverse(multiply(inverse(multiply(D,multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B))))),E)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,B)),multiply(F,C))),inverse(multiply(inverse(B),B)))),multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(B),B)))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(V6,D)),multiply(V6,inverse(inverse(E))))),inverse(multiply(inverse(D),D)))). [para(289(a,1),64(a,1,1,1,2,1,2,1,1))].
% 1.70/1.98 901 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(D,E)),multiply(D,inverse(inverse(F))))),inverse(multiply(inverse(E),E)))))))))),A)),inverse(multiply(V6,inverse(multiply(inverse(multiply(inverse(multiply(E,V6)),F)),inverse(multiply(inverse(V6),V6)))))))),inverse(multiply(inverse(A),A)))))) = multiply(inverse(C),C). [para(64(a,1),169(a,1,1,2,1,1,1,1,1,1,1,2,2,1,1,2))].
% 1.70/1.98 921 multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),A))))))))) = B. [back_rewrite(467),rewrite([869(57)])].
% 1.70/1.98 930 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,D))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,V6))),inverse(multiply(inverse(F),F)))),multiply(inverse(multiply(inverse(multiply(E,F)),multiply(E,V6))),inverse(inverse(multiply(inverse(multiply(inverse(F),F)),inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F))))))))))). [para(4(a,1),10(a,2,2,1,1,1,1)),rewrite([395(94)])].
% 1.70/1.98 931 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,F))),inverse(multiply(inverse(D),D)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(V6,inverse(multiply(inverse(multiply(inverse(multiply(V7,V6)),multiply(V7,multiply(V8,inverse(multiply(inverse(multiply(inverse(multiply(V9,V8)),multiply(V9,inverse(F)))),inverse(multiply(inverse(V8),V8)))))))),inverse(multiply(inverse(V6),V6))))). [para(4(a,1),10(a,2,2,1,1,1,2,2))].
% 1.70/1.98 937 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(F,E)),multiply(F,inverse(C)))),inverse(multiply(inverse(E),E))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B)))),inverse(inverse(V6))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(B,C))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B))))))))),inverse(multiply(inverse(multiply(A,multiply(B,C))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B))))))))))))) = V6. [para(10(a,1),15(a,1,2,1,1,1,1))].
% 1.70/1.98 963 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,multiply(inverse(D),D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,D)),multiply(F,inverse(inverse(V6))))),E)),inverse(multiply(V7,inverse(multiply(inverse(multiply(inverse(multiply(D,V7)),V6)),inverse(multiply(inverse(V7),V7)))))))),inverse(multiply(inverse(E),E))))). [para(40(a,2),10(a,2,2,1,1,1,2))].
% 1.70/1.98 968 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,multiply(inverse(D),D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,D)),multiply(F,inverse(inverse(multiply(D,inverse(V6))))))),E)),V6)),inverse(multiply(inverse(E),E))))). [para(67(a,1),10(a,2,2,1,1,1,2))].
% 1.70/1.98 974 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(multiply(D,multiply(inverse(multiply(inverse(C),C)),E))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))))))) = multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(V6,F)),multiply(V6,inverse(E)))),inverse(multiply(inverse(F),F))))). [para(118(a,1),10(a,1,1,1,1,1,1,1)),rewrite([118(42),118(66)])].
% 1.70/1.98 990 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,D))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(inverse(multiply(inverse(E),E)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,E)),multiply(F,V6))),inverse(multiply(inverse(E),E)))),multiply(inverse(multiply(inverse(multiply(V7,E)),multiply(V7,V6))),inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))))). [para(184(a,1),10(a,2,2,1,1,1,1,1))].
% 1.70/1.98 994 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(B,D))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B)))))))))) = multiply(inverse(multiply(inverse(multiply(inverse(E),E)),inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(multiply(multiply(inverse(F),F),multiply(inverse(multiply(inverse(F),F)),inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F))))))),inverse(multiply(inverse(multiply(inverse(E),E)),inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F))))))))))). [para(206(a,1),10(a,2,2,1,1,1,1))].
% 1.70/1.98 1012 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(E)))),inverse(multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(E,multiply(D,F))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(E)))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(E)))),inverse(multiply(inverse(D),D)))))))))))),inverse(multiply(inverse(B),B)))) = inverse(multiply(inverse(multiply(inverse(multiply(V6,B)),multiply(V6,inverse(multiply(inverse(multiply(inverse(multiply(V7,A)),multiply(V7,inverse(F)))),inverse(multiply(inverse(A),A))))))),inverse(multiply(inverse(B),B)))). [para(10(a,2),289(a,1,1,1,1,2))].
% 1.70/1.98 1059 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),A)),C)),inverse(multiply(inverse(A),A)))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,inverse(multiply(inverse(B),inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))))))))))),inverse(multiply(inverse(D),D))))). [para(921(a,1),4(a,1,1,2,1,1,1,2))].
% 1.70/1.98 1065 multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),B)) = multiply(inverse(multiply(C,A)),multiply(C,B)). [para(4(a,1),921(a,1,2,2,1)),rewrite([1(17)])].
% 1.70/1.98 1085 multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))))))) = multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),inverse(inverse(multiply(C,inverse(multiply(multiply(inverse(A),A),inverse(multiply(inverse(C),C))))))))). [para(206(a,1),921(a,1,2,2,1,1,2,1,1)),flip(a)].
% 1.70/1.98 1086 multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))) = multiply(inverse(B),B). [para(206(a,1),921(a,1,2,2,1))].
% 1.70/1.98 1111 multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))),multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))) = c_0. [new_symbol(1086)].
% 1.70/1.98 1112 multiply(inverse(A),A) = c_0. [back_rewrite(1086),rewrite([1111(18)]),flip(a)].
% 1.70/1.98 1137 multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(c_0,inverse(c_0)))))))) = multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))). [back_rewrite(1085),rewrite([1112(2),1112(4),1112(6),1112(9),1112(10),1112(11),1112(14),1112(15)]),flip(a)].
% 1.70/1.98 1155 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(c_0),multiply(inverse(B),C)). [back_rewrite(1065),rewrite([1112(2)]),flip(a)].
% 1.70/1.98 1161 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),A)),B)),inverse(c_0))))) = multiply(C,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(multiply(inverse(D),inverse(inverse(multiply(D,inverse(multiply(inverse(B),inverse(c_0))))))))))),inverse(c_0)))). [back_rewrite(1059),rewrite([1112(2),1112(8),1112(18),1155(27),1112(31)])].
% 1.70/1.98 1205 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(D)))),inverse(c_0))),inverse(multiply(inverse(multiply(D,multiply(C,E))),inverse(c_0))))))),inverse(c_0))) = inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(E)))),inverse(c_0)))))),inverse(c_0))). [back_rewrite(1012),rewrite([1155(7),1112(11),1155(21),1112(25),1155(33),1112(37),1112(40),1112(26),1155(35),1112(39),1155(43),1112(47)])].
% 1.70/1.98 1221 inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(B)))),inverse(c_0))),inverse(multiply(inverse(multiply(B,multiply(A,C))),inverse(c_0))))) = multiply(inverse(multiply(inverse(c_0),inverse(c_0))),inverse(multiply(inverse(multiply(c_0,multiply(inverse(c_0),inverse(C)))),inverse(c_0)))). [back_rewrite(994),rewrite([1155(5),1112(9),1155(19),1112(23),1155(31),1112(35),1112(38),1112(22),1112(24),1112(27),1112(28),1112(28),1112(29),1112(35),1112(37),1112(40),1112(41),1112(42),1112(44),1112(47),1112(48),1112(47)])].
% 1.70/1.98 1224 multiply(inverse(multiply(inverse(c_0),inverse(c_0))),inverse(multiply(inverse(multiply(c_0,multiply(inverse(c_0),inverse(A)))),inverse(c_0)))) = multiply(inverse(c_0),inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(A)))),inverse(c_0)))). [back_rewrite(990),rewrite([1155(5),1112(9),1155(19),1112(23),1155(31),1112(35),1112(38),1221(20),1112(20),1155(24),1112(28),1155(34),1155(39),1112(31),1112(34),1112(35)])].
% 1.70/1.98 1234 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(multiply(B,A)))))),inverse(C)))),inverse(c_0))),inverse(multiply(inverse(multiply(C,multiply(inverse(c_0),D))),inverse(c_0))))) = multiply(E,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(E),inverse(D)))),inverse(c_0)))). [back_rewrite(974),rewrite([1155(7),1112(15),1112(18),1112(19),1112(19),1155(29),1112(37),1112(40),1112(41),1155(47),1112(55),1112(58),1112(59),1112(58),1155(33),1112(37)])].
% 1.70/1.98 1240 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(multiply(B,inverse(C))))))),A)),C)),inverse(c_0)))) = multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))). [back_rewrite(968),rewrite([1155(5),1112(9),1112(13),1155(20),1112(24),1155(32),1112(36),1112(39),1221(21),1224(19),1112(10),1112(6),1155(17),1112(25)]),flip(a)].
% 1.70/1.98 1243 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),A)),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(c_0))))))),inverse(c_0)))) = multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))). [back_rewrite(963),rewrite([1155(5),1112(9),1112(13),1155(20),1112(24),1155(32),1112(36),1112(39),1221(21),1224(19),1112(10),1112(6),1155(15),1112(25),1112(33)]),flip(a)].
% 1.70/1.98 1269 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),inverse(c_0))),inverse(multiply(inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),inverse(C)))),inverse(c_0)))),multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(A)))),inverse(c_0))),inverse(inverse(E))))),inverse(c_0)))) = E. [back_rewrite(937),rewrite([1155(8),1112(12),1155(20),1112(24),1112(27),1155(12),1112(16),1155(24),1112(28),1155(43),1112(47),1155(55),1112(59),1112(62),1155(51),1112(55),1155(63),1112(67),1112(70),1112(51)])].
% 1.70/1.98 1275 multiply(inverse(c_0),inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))))),inverse(c_0)))) = multiply(C,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),multiply(D,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),inverse(B)))),inverse(c_0))))))),inverse(c_0)))). [back_rewrite(931),rewrite([1155(5),1112(9),1155(15),1112(19),1155(30),1112(34),1155(42),1112(46),1112(49),1221(31),1224(29),1155(34),1112(38),1155(43),1112(47)])].
% 1.70/1.98 1276 multiply(inverse(c_0),inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(A)))),inverse(c_0)))) = multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(inverse(multiply(inverse(c_0),inverse(multiply(A,inverse(c_0)))))))). [back_rewrite(930),rewrite([1155(5),1112(9),1155(19),1112(23),1155(31),1112(35),1112(38),1221(20),1224(18),1155(20),1112(24),1155(30),1112(34),1112(36),1112(39),1112(40),1155(43)])].
% 1.70/1.98 1285 multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(inverse(B),inverse(c_0)))))))) = B. [back_rewrite(921),rewrite([1112(2),1112(6)])].
% 1.70/1.98 1305 inverse(multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0))))) = c_0. [back_rewrite(901),rewrite([1155(8),1112(12),1155(19),1285(20),1112(16),1112(24),1243(27),1112(12)])].
% 1.70/1.98 1312 inverse(inverse(multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)),inverse(multiply(inverse(multiply(inverse(multiply(C,multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))),D)),inverse(c_0)))))) = inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(inverse(D))))),inverse(c_0))). [back_rewrite(894),rewrite([1155(4),1112(8),1155(13),1112(17),1155(26),1112(30),1155(36),1112(40),1112(42),1155(35),1112(39)])].
% 1.70/1.98 1333 multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0)))))),multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0))) = c_0. [back_rewrite(868),rewrite([1112(6),1155(17),1112(21),1155(29),1112(33),1155(41),1112(45),1112(47)])].
% 1.70/1.98 1342 inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,C)))),inverse(multiply(C,inverse(c_0)))))) = multiply(A,inverse(inverse(multiply(B,inverse(c_0))))). [back_rewrite(849),rewrite([1112(14),1112(13),1112(16),1112(17)])].
% 1.70/1.98 1348 multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)))) = B. [back_rewrite(843),rewrite([1155(6),1112(10),1155(17),1112(21),1112(32),1155(43),1112(47),1333(49),1312(33)])].
% 1.70/1.98 1389 multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0)))),inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0))))),D))),inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(B,E)),C)),inverse(c_0))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0))))))))) = multiply(F,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(F),D))),inverse(c_0)))). [back_rewrite(798),rewrite([1112(6),1112(15),1155(22),1112(30),1112(40),1155(52),1112(56)])].
% 1.70/1.98 1411 multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(c_0)))),inverse(c_0)))) = multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))). [back_rewrite(772),rewrite([1155(6),1112(16),1112(24),1243(27),1112(13),1155(15),1112(19)]),flip(a)].
% 1.70/1.98 1448 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(multiply(B,C)))))),A)),multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),inverse(inverse(multiply(D,C)))))),inverse(c_0)))),inverse(c_0))))) = c_0. [back_rewrite(721),rewrite([1155(7),1155(18),1112(22),1112(27),1112(33)])].
% 1.70/1.98 1458 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C)))))),inverse(inverse(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(c_0)))))))))),A)),c_0)),inverse(c_0))))) = c_0. [back_rewrite(707),rewrite([1155(6),1112(16),1155(24),1112(30),1112(33),1155(43),1155(52),1112(55)])].
% 1.70/1.98 1468 inverse(multiply(multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))),inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))))),B)),inverse(multiply(c_0,multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))))))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)). [back_rewrite(697),rewrite([1155(8),1112(16),1240(19),1155(17),1112(25),1240(28),1112(24),1155(31),1112(39),1240(42),1155(44),1112(48)])].
% 1.70/1.98 1469 inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,inverse(B))))))),C)),B)),inverse(c_0))),inverse(multiply(inverse(multiply(c_0,D)),inverse(c_0))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(inverse(D))))),inverse(c_0)). [back_rewrite(695),rewrite([1155(8),1112(16),1112(20),1155(29),1112(37),1155(48),1112(56),1112(59),1155(33),1112(37)])].
% 1.70/1.98 1480 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))) = multiply(multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0)))),inverse(multiply(inverse(multiply(inverse(c_0),multiply(c_0,inverse(B)))),inverse(multiply(c_0,multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0))))))))). [back_rewrite(683),rewrite([1155(4),1112(8),1155(20),1112(28),1240(31),1155(29),1112(37),1240(40),1155(35),1305(33),1112(30),1155(37),1112(45),1240(48)])].
% 1.70/1.98 1484 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,B)))))),inverse(c_0)) = multiply(C,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(B)))),inverse(c_0)))). [back_rewrite(679),rewrite([1155(8),1112(16),1112(20),1155(30),1112(38),1155(49),1112(57),1112(60),1469(28),1155(17),1112(21)])].
% 1.70/1.98 1493 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0)). [back_rewrite(670),rewrite([1112(2),1112(5),1112(6),1137(13),1112(11),1112(14),1112(15),1137(22),1112(24),1112(25),1112(28),1112(29),1137(36),1468(38),1112(17)]),flip(a)].
% 1.70/1.98 1496 inverse(multiply(inverse(multiply(inverse(c_0),inverse(c_0))),inverse(multiply(inverse(multiply(c_0,A)),inverse(c_0))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(inverse(A))))),inverse(c_0)). [back_rewrite(663),rewrite([1112(2),1112(4),1112(7),1112(8),1112(8),1112(11),1112(13),1112(16),1112(17),1112(18),1112(20),1112(23),1112(24),1112(23),1112(17),1112(23),1493(27)])].
% 1.70/1.98 1497 inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),inverse(c_0)))))),inverse(multiply(inverse(c_0),inverse(c_0))))) = multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),inverse(c_0))))). [back_rewrite(661),rewrite([1112(6),1493(10),1112(17),1112(24),1112(30),1493(34),1112(41),1112(53),1493(57),1112(64),1112(70),1112(36),1493(40),1112(47)])].
% 1.70/1.98 1502 multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,B))))))),inverse(inverse(C))))),inverse(c_0)) = inverse(multiply(inverse(c_0),inverse(multiply(inverse(multiply(B,C)),inverse(c_0))))). [back_rewrite(652),rewrite([1112(2),1112(6),1112(9),1112(10),1155(17),1112(25),1493(29)]),flip(a)].
% 1.70/1.98 1510 multiply(inverse(multiply(inverse(c_0),multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),inverse(inverse(C))))),inverse(multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),inverse(c_0))))))) = multiply(inverse(multiply(inverse(c_0),multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),inverse(inverse(C))))),inverse(c_0)). [back_rewrite(639),rewrite([1112(6),1112(15),1493(19),1493(12),1112(27),1155(36),1493(33),1112(45),1493(49),1112(56)]),flip(a)].
% 1.70/1.98 1511 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))),inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))))),D)),inverse(multiply(B,inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))))))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(inverse(D))))),inverse(c_0)). [back_rewrite(637),rewrite([1155(4),1112(8),1155(16),1112(20),1155(32),1112(36),1112(52),1493(56)])].
% 1.70/1.98 1512 inverse(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0)))),inverse(multiply(inverse(multiply(inverse(c_0),multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0)),D))),inverse(multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0)),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0))))))))))) = D. [back_rewrite(636),rewrite([1112(6),1112(15),1155(22),1493(21),1112(31),1493(35),1112(42)])].
% 1.70/1.98 1551 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),inverse(multiply(inverse(c_0),inverse(c_0))))),inverse(c_0)))) = multiply(B,inverse(multiply(c_0,inverse(c_0)))). [back_rewrite(557),rewrite([1112(5),1112(7),1112(10),1112(11),1112(13),1112(18),1112(19)])].
% 1.70/1.98 1552 multiply(inverse(multiply(inverse(c_0),inverse(c_0))),inverse(multiply(inverse(multiply(c_0,A)),inverse(c_0)))) = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),B)),A)),inverse(c_0)))). [back_rewrite(556),rewrite([1112(2),1112(4),1112(7),1112(8),1112(8),1112(11),1112(13),1112(16),1112(17),1112(18),1112(20),1112(23),1112(24),1112(23),1112(16),1112(22)])].
% 1.70/1.98 1556 multiply(inverse(multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),multiply(C,D))),inverse(c_0)) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),inverse(c_0)))),D))),inverse(c_0)). [back_rewrite(552),rewrite([1112(6),1155(12),1112(20),1112(29),1112(32),1112(23),1493(27),1112(37),1112(46),1112(49)]),flip(a)].
% 1.70/1.98 1607 inverse(multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(inverse(multiply(inverse(c_0),inverse(multiply(A,inverse(c_0))))))))) = A. [back_rewrite(430),rewrite([1112(2),1112(4),1112(7),1112(8),1112(8),1112(9),1112(15),1112(17),1112(20),1112(21),1112(22),1112(24),1112(27),1112(28),1112(27),1224(18),1276(16)])].
% 1.70/1.98 1608 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(inverse(multiply(inverse(c_0),inverse(multiply(B,inverse(c_0))))))))))),inverse(c_0))))) = multiply(C,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),B))),inverse(c_0)))). [back_rewrite(427),rewrite([1155(6),1112(10),1155(16),1112(20),1112(22),1112(25),1112(26),1155(29),1155(20),1112(24),1155(32),1112(36)])].
% 1.70/1.98 1635 multiply(inverse(multiply(A,multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(multiply(B,A)))))),C))),inverse(c_0)) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(c_0)),C))),inverse(c_0)). [back_rewrite(360),rewrite([1112(2),1155(6),1112(10),1112(13),1112(14),1155(18),1112(25),1112(28),1112(29)]),flip(a)].
% 1.70/1.98 1646 multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(B)))),inverse(c_0)))),multiply(C,D))),inverse(c_0)) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),B))),inverse(c_0)))),D))),inverse(c_0)). [back_rewrite(328),rewrite([1155(4),1112(8),1155(14),1155(20),1112(24),1155(31),1112(35),1112(38),1155(24),1112(28),1155(38),1112(42),1155(49),1112(53),1112(56)]),flip(a)].
% 1.70/1.98 1648 multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(B)))),inverse(c_0)))),C))),inverse(c_0)) = multiply(inverse(multiply(B,multiply(A,C))),inverse(c_0)). [back_rewrite(323),rewrite([1155(5),1112(9),1155(15),1155(22),1112(26),1155(34),1112(38),1112(41),1155(28),1112(32),1155(40),1112(44),1112(47)])].
% 1.70/1.98 1651 multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,inverse(c_0)))))) = inverse(c_0). [back_rewrite(316),rewrite([1112(16),1342(13),1155(9),1112(12)])].
% 1.70/1.98 1654 multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,B))))))),inverse(B)))),inverse(c_0)) = c_0. [back_rewrite(312),rewrite([1155(7),1155(14),1155(23),1155(33),1112(36),1112(21)])].
% 1.70/1.98 1661 inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))),inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))),C)))))),inverse(multiply(B,inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))))))) = C. [back_rewrite(295),rewrite([1155(4),1112(8),1155(18),1112(22),1155(31),1155(37),1112(41)])].
% 1.70/1.98 1694 inverse(multiply(inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(B)))),inverse(c_0))),inverse(multiply(inverse(multiply(B,C)),inverse(c_0))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(C))))),inverse(c_0)). [back_rewrite(215),rewrite([1155(5),1112(9),1155(18),1112(22),1155(30),1112(34),1112(37),1112(25),1493(29)])].
% 1.70/1.98 1697 inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,B))),inverse(C)))),inverse(c_0))) = multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(c_0))))))). [back_rewrite(211),rewrite([1155(7),1112(15),1112(15)])].
% 1.70/1.98 1703 multiply(inverse(multiply(inverse(c_0),multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)),inverse(inverse(multiply(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),inverse(c_0)))),inverse(D))))))),inverse(c_0)) = D. [back_rewrite(196),rewrite([1112(6),1112(17),1155(26),1493(12),1155(35),1112(39),1112(46),1510(52)])].
% 1.70/1.98 1704 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0)))))))),inverse(c_0)) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(c_0)))). [back_rewrite(194),rewrite([1155(8),1112(12),1155(18),1112(22),1112(29)])].
% 1.70/1.98 1706 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(inverse(multiply(C,B)))))),inverse(c_0)). [back_rewrite(188),rewrite([1155(4),1112(8),1155(19),1112(23)])].
% 1.70/1.98 1707 multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(C)))),inverse(c_0)))))))))),inverse(c_0)) = multiply(D,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),C))),inverse(c_0)))). [back_rewrite(183),rewrite([1155(7),1112(11),1155(19),1112(23),1155(28),1112(32)])].
% 1.70/1.98 1721 multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))),inverse(inverse(C))))),inverse(multiply(B,inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))))) = multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))),inverse(inverse(C))))),inverse(c_0)). [back_rewrite(121),rewrite([1155(4),1112(8),1112(18),1493(22),1155(27),1112(31),1155(41),1155(47),1112(51)]),flip(a)].
% 1.70/1.98 1732 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),C))),inverse(c_0))))))),inverse(c_0))))) = multiply(D,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),multiply(E,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(E),inverse(C)))),inverse(c_0))))))),inverse(c_0)))). [back_rewrite(36),rewrite([1155(6),1112(10),1155(15),1112(19),1155(30),1112(34),1155(39),1112(43)])].
% 1.70/1.98 1736 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))) = B. [back_rewrite(18),rewrite([1155(4),1112(8)])].
% 1.70/1.98 1740 multiply(c_0,a2) != a2 # answer(prove_these_axioms_2). [back_rewrite(2),rewrite([1112(4)])].
% 1.70/1.98 1741 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(B)))),inverse(c_0))))) = B. [back_rewrite(1),rewrite([1155(5),1112(9)])].
% 1.70/1.98 1763 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(inverse(multiply(C,D)))))),inverse(c_0)))),inverse(c_0))) = inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(D)))),inverse(c_0)))))),inverse(c_0))). [back_rewrite(1205),rewrite([1694(22)])].
% 1.70/1.98 1768 multiply(inverse(c_0),multiply(inverse(inverse(c_0)),inverse(inverse(multiply(inverse(c_0),inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))),inverse(c_0)))))))) = multiply(C,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),multiply(D,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(D),inverse(B)))),inverse(c_0))))))),inverse(c_0)))). [back_rewrite(1275),rewrite([1276(27)])].
% 1.70/1.98 1778 multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0)))),inverse(multiply(inverse(multiply(inverse(c_0),multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0)),D))),inverse(multiply(multiply(inverse(multiply(inverse(c_0),multiply(inverse(B),inverse(inverse(C))))),inverse(c_0)),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(c_0))))))))) = multiply(E,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(E),D))),inverse(c_0)))). [back_rewrite(1389),rewrite([1493(21),1493(35)])].
% 1.70/1.98 1784 multiply(inverse(c_0),inverse(c_0)) = c_0. [back_rewrite(1458),rewrite([1493(21),1651(26),1493(14),1112(10),1112(4)])].
% 1.70/1.98 1786 inverse(c_0) = c_0. [back_rewrite(1448),rewrite([1763(29),1654(22),1411(13),1784(7),1784(5)])].
% 1.70/1.98 1861 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(c_0,A)),B)),c_0)))) = multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),inverse(multiply(inverse(D),inverse(inverse(multiply(D,inverse(multiply(inverse(B),c_0)))))))))),c_0))). [back_rewrite(1161),rewrite([1786(2),1786(7),1786(12),1786(16),1786(27)])].
% 1.70/1.98 1897 inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(multiply(B,A)))))),inverse(C)))),c_0)),inverse(multiply(inverse(multiply(C,multiply(c_0,D))),c_0)))) = multiply(E,inverse(multiply(inverse(multiply(c_0,multiply(inverse(E),inverse(D)))),c_0))). [back_rewrite(1234),rewrite([1786(2),1786(14),1786(17),1786(21),1786(26),1786(32)])].
% 1.70/1.98 1913 multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),c_0)),inverse(multiply(inverse(multiply(multiply(D,inverse(multiply(inverse(multiply(c_0,multiply(inverse(D),inverse(C)))),c_0))),multiply(inverse(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(A)))),c_0)),inverse(inverse(E))))),c_0))) = E. [back_rewrite(1269),rewrite([1786(5),1786(8),1786(14),1786(18),1786(24),1786(32)])].
% 1.70/1.98 1979 inverse(multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))),inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))),C)))))),inverse(multiply(B,inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))))))) = C. [back_rewrite(1661),rewrite([1786(2),1786(3),1786(8),1786(14),1786(19),1786(30),1786(35)])].
% 1.70/1.98 1987 multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))),inverse(inverse(C))))),inverse(multiply(B,inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))))) = multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))),inverse(inverse(C))))),c_0). [back_rewrite(1721),rewrite([1786(2),1786(3),1786(8),1786(19),1786(24),1786(32),1786(33),1786(38),1786(49)])].
% 1.70/1.98 2044 multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),c_0))),inverse(multiply(inverse(multiply(c_0,multiply(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0),D))),inverse(multiply(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),c_0)))))))) = multiply(E,inverse(multiply(inverse(multiply(c_0,multiply(inverse(E),D))),c_0))). [back_rewrite(1778),rewrite([1786(6),1786(10),1786(11),1786(18),1786(23),1786(30),1786(36),1786(45),1786(50)])].
% 1.70/1.98 2047 inverse(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),c_0))),inverse(multiply(inverse(multiply(c_0,multiply(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0),D))),inverse(multiply(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),c_0)))))))))) = D. [back_rewrite(1512),rewrite([1786(6),1786(10),1786(11),1786(18),1786(23),1786(30),1786(36)])].
% 1.70/1.98 2067 multiply(inverse(multiply(c_0,c_0)),inverse(multiply(inverse(multiply(c_0,A)),c_0))) = multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(c_0,B)),A)),c_0))). [back_rewrite(1552),rewrite([1786(2),1786(3),1786(9),1786(13),1786(18)])].
% 1.70/1.98 2068 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),inverse(multiply(c_0,c_0)))),c_0))) = multiply(B,inverse(multiply(c_0,c_0))). [back_rewrite(1551),rewrite([1786(5),1786(6),1786(11),1786(16)])].
% 1.70/1.98 2069 inverse(multiply(inverse(multiply(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),c_0))))),inverse(multiply(c_0,c_0)))) = multiply(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),c_0)))). [back_rewrite(1497),rewrite([1786(2),1786(9),1786(15),1786(21),1786(22),1786(27),1786(34),1786(40)])].
% 1.70/1.98 2070 inverse(multiply(inverse(multiply(c_0,c_0)),inverse(multiply(inverse(multiply(c_0,A)),c_0)))) = multiply(inverse(multiply(c_0,multiply(c_0,inverse(inverse(A))))),c_0). [back_rewrite(1496),rewrite([1786(2),1786(3),1786(9),1786(14),1786(15),1786(15),1786(21)])].
% 1.70/1.98 2073 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))) = multiply(multiply(c_0,inverse(multiply(c_0,c_0))),inverse(multiply(inverse(multiply(c_0,multiply(c_0,inverse(B)))),inverse(multiply(c_0,multiply(c_0,inverse(multiply(c_0,c_0)))))))). [back_rewrite(1480),rewrite([1786(2),1786(7),1786(12),1786(13),1786(14),1786(18),1786(25),1786(26),1786(27)])].
% 1.70/1.98 2088 multiply(c_0,c_0) = c_0. [back_rewrite(1784),rewrite([1786(2),1786(3)])].
% 1.70/1.98 2101 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))),c_0))))))) = multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),multiply(D,inverse(multiply(inverse(multiply(c_0,multiply(inverse(D),inverse(B)))),c_0)))))),c_0))). [back_rewrite(1768),rewrite([1786(2),1786(3),1786(3),1786(4),1786(5),1786(10),1786(14),1786(22),1786(24),1786(30),1786(37)])].
% 1.70/1.98 2118 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(B)))),c_0)))) = B. [back_rewrite(1741),rewrite([1786(2),1786(8)])].
% 1.70/1.98 2121 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))) = B. [back_rewrite(1736),rewrite([1786(2),1786(7)])].
% 1.70/1.98 2124 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(c_0,multiply(inverse(B),C))),c_0)))))),c_0)))) = multiply(D,inverse(multiply(inverse(multiply(c_0,multiply(inverse(D),multiply(E,inverse(multiply(inverse(multiply(c_0,multiply(inverse(E),inverse(C)))),c_0)))))),c_0))). [back_rewrite(1732),rewrite([1786(2),1786(4),1786(9),1786(16),1786(21),1786(23),1786(29),1786(36)])].
% 1.70/1.98 2132 multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,multiply(B,inverse(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(C)))),c_0))))))))),c_0) = multiply(D,inverse(multiply(inverse(multiply(c_0,multiply(inverse(D),C))),c_0))). [back_rewrite(1707),rewrite([1786(2),1786(4),1786(10),1786(20),1786(22),1786(27)])].
% 1.70/1.98 2133 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))) = multiply(inverse(multiply(c_0,multiply(inverse(C),inverse(inverse(multiply(C,B)))))),c_0). [back_rewrite(1706),rewrite([1786(2),1786(7),1786(12),1786(20)])].
% 1.70/1.98 2134 multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0))))))),c_0) = multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),c_0))). [back_rewrite(1704),rewrite([1786(2),1786(4),1786(11),1786(19),1786(25)])].
% 1.70/1.98 2135 multiply(inverse(multiply(c_0,multiply(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0),inverse(inverse(multiply(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),c_0))),inverse(D))))))),c_0) = D. [back_rewrite(1703),rewrite([1786(2),1786(3),1786(10),1786(16),1786(27)])].
% 1.70/1.98 2138 inverse(multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(A,B))),inverse(C)))),c_0)) = multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,c_0)))))). [back_rewrite(1697),rewrite([1786(2),1786(10),1786(13)])].
% 1.70/1.98 2140 inverse(multiply(inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(B)))),c_0)),inverse(multiply(inverse(multiply(B,C)),c_0)))) = multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(C))))),c_0). [back_rewrite(1694),rewrite([1786(2),1786(8),1786(13),1786(18),1786(25)])].
% 1.70/1.98 2159 multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(B)))),c_0))),C))),c_0) = multiply(inverse(multiply(B,multiply(A,C))),c_0). [back_rewrite(1648),rewrite([1786(2),1786(3),1786(9),1786(16),1786(21)])].
% 1.70/1.98 2160 multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(B)))),c_0))),multiply(C,D))),c_0) = multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),B))),c_0))),D))),c_0). [back_rewrite(1646),rewrite([1786(2),1786(8),1786(15),1786(17),1786(18),1786(23),1786(30)])].
% 1.70/1.98 2165 multiply(inverse(multiply(A,multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(multiply(B,A)))))),C))),c_0) = multiply(inverse(multiply(c_0,multiply(c_0,C))),c_0). [back_rewrite(1635),rewrite([1786(2),1786(13),1786(15),1786(16),1786(16),1786(20)])].
% 1.70/1.98 2178 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(B,c_0)))))))))),c_0)))) = multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),B))),c_0))). [back_rewrite(1608),rewrite([1786(2),1786(4),1786(5),1786(5),1786(6),1786(7),1786(18),1786(23),1786(28)])].
% 1.70/1.98 2179 inverse(multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0)))))))) = A. [back_rewrite(1607),rewrite([1786(2),1786(3),1786(3),1786(4),1786(5)])].
% 1.70/1.98 2195 multiply(inverse(multiply(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0),multiply(C,D))),c_0) = multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),c_0))),D))),c_0). [back_rewrite(1556),rewrite([1786(2),1786(9),1786(14),1786(16),1786(21),1786(28)])].
% 1.70/1.98 2204 inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))),inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))))),D)),inverse(multiply(B,inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))))))))) = multiply(inverse(multiply(c_0,multiply(inverse(C),inverse(inverse(D))))),c_0). [back_rewrite(1511),rewrite([1786(2),1786(7),1786(12),1786(17),1786(26),1786(31),1786(42),1786(49)])].
% 1.70/1.98 2209 multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,B))))))),inverse(inverse(C))))),c_0) = inverse(multiply(c_0,inverse(multiply(inverse(multiply(B,C)),c_0)))). [back_rewrite(1502),rewrite([1786(2),1786(3),1786(17),1786(19),1786(22)])].
% 1.70/1.98 2215 multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,B)))))),c_0) = multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),inverse(B)))),c_0))). [back_rewrite(1484),rewrite([1786(2),1786(10),1786(12),1786(18)])].
% 1.70/1.98 2227 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0))) = B. [back_rewrite(1348),rewrite([1786(2),1786(9)])].
% 1.70/1.98 2230 multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(inverse(B),c_0))))))) = B. [back_rewrite(1285),rewrite([1786(2),1786(5)])].
% 1.70/1.98 2237 multiply(c_0,inverse(multiply(inverse(multiply(c_0,multiply(c_0,inverse(A)))),c_0))) = multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0))))))). [back_rewrite(1276),rewrite([1786(2),1786(3),1786(4),1786(4),1786(9),1786(13),1786(14),1786(14),1786(15),1786(16)])].
% 1.70/1.98 2250 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(c_0,multiply(inverse(B),C)). [back_rewrite(1155),rewrite([1786(6)])].
% 1.70/1.98 2258 inverse(multiply(inverse(multiply(inverse(multiply(c_0,multiply(c_0,inverse(A)))),c_0)),inverse(multiply(inverse(multiply(A,multiply(c_0,B))),c_0)))) = multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),inverse(B)))),c_0))). [back_rewrite(1897),rewrite([2165(14)])].
% 1.70/1.98 2270 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(inverse(A),c_0))))))) = A. [back_rewrite(1913),rewrite([2160(32),2159(23),2138(22),2250(19),1786(3)])].
% 1.70/1.98 2271 inverse(multiply(inverse(multiply(c_0,multiply(A,inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(c_0,multiply(inverse(B),A))),c_0)))),C)))))),inverse(multiply(A,inverse(multiply(B,inverse(multiply(inverse(multiply(c_0,multiply(inverse(B),A))),c_0)))))))) = C. [back_rewrite(1979),rewrite([2121(12)])].
% 1.70/1.98 2299 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0)))) = multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(B,c_0))))))). [back_rewrite(2073),rewrite([2088(14),1786(13),2088(13),2088(22),1786(21),2088(21),2088(20),1786(19),2237(21)])].
% 1.70/1.98 2301 inverse(multiply(c_0,inverse(multiply(inverse(multiply(c_0,A)),c_0)))) = multiply(inverse(multiply(c_0,multiply(c_0,inverse(inverse(A))))),c_0). [back_rewrite(2070),rewrite([2088(3),1786(2)])].
% 1.70/1.98 2302 multiply(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(A,C)),B)),c_0)))) = c_0. [back_rewrite(2069),rewrite([2088(22),1786(21),2195(21),1112(17),2088(3),1786(2),2088(3),1786(2)]),flip(a)].
% 1.70/1.98 2303 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),c_0)),c_0))) = multiply(B,c_0). [back_rewrite(2068),rewrite([2088(6),1786(5),2088(13),1786(12)])].
% 1.70/1.98 2304 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(c_0,A)),B)),c_0))) = multiply(c_0,inverse(multiply(inverse(multiply(c_0,B)),c_0))). [back_rewrite(2067),rewrite([2088(3),1786(2)]),flip(a)].
% 1.70/1.98 2312 inverse(inverse(multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),c_0))),inverse(multiply(inverse(multiply(c_0,multiply(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0),D))),c_0))))) = D. [back_rewrite(2047),rewrite([2302(39),1786(23)])].
% 1.70/1.98 2315 multiply(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),c_0))),inverse(multiply(inverse(multiply(c_0,multiply(multiply(inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(C))))),c_0),D))),c_0))) = multiply(E,inverse(multiply(inverse(multiply(c_0,multiply(inverse(E),D))),c_0))). [back_rewrite(2044),rewrite([2302(39),1786(23)])].
% 1.70/1.98 2351 multiply(inverse(multiply(c_0,multiply(A,inverse(inverse(B))))),inverse(multiply(A,inverse(multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),A))),c_0))))))) = multiply(inverse(multiply(c_0,multiply(A,inverse(inverse(B))))),c_0). [back_rewrite(1987),rewrite([2121(12),2121(31)])].
% 1.70/1.98 2367 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(multiply(inverse(B),inverse(inverse(multiply(B,inverse(multiply(inverse(C),c_0)))))))))),c_0))) = multiply(inverse(multiply(c_0,multiply(c_0,inverse(inverse(C))))),c_0). [back_rewrite(1861),rewrite([2304(9),2301(9)]),flip(a)].
% 1.70/1.98 2374 inverse(multiply(inverse(multiply(c_0,multiply(A,inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(c_0,multiply(inverse(B),A))),c_0)))),C)))))),c_0)) = C. [back_rewrite(2271),rewrite([2351(30)])].
% 1.70/1.98 2391 multiply(A,multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0)))))))) = c_0. [para(2179(a,1),1112(a,1,1))].
% 1.70/1.98 2395 multiply(inverse(multiply(c_0,A)),c_0) = multiply(c_0,multiply(inverse(A),c_0)). [para(2088(a,1),2250(a,1,2))].
% 1.70/1.98 2396 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(c_0,multiply(inverse(B),A)). [para(1112(a,1),2250(a,1,2))].
% 1.70/1.98 2421 inverse(multiply(c_0,multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(c_0,multiply(c_0,multiply(inverse(A),B)))))),C))))),c_0))) = C. [back_rewrite(2374),rewrite([2395(8),2396(7),2395(18)])].
% 1.70/1.98 2426 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(B,inverse(multiply(inverse(C),c_0)))))))),A))))) = multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(C))),c_0))). [back_rewrite(2367),rewrite([2395(17),2396(16),2395(27),2395(26)])].
% 1.70/1.98 2472 multiply(multiply(A,inverse(multiply(c_0,multiply(inverse(B),multiply(C,A))))),inverse(multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),C))),D)),c_0)))) = multiply(E,inverse(multiply(c_0,multiply(c_0,multiply(inverse(D),E))))). [back_rewrite(2315),rewrite([2396(6),2395(17),2396(16),2395(21),2395(30),2396(29)])].
% 1.70/1.98 2475 inverse(inverse(multiply(multiply(A,inverse(multiply(c_0,multiply(inverse(B),multiply(C,A))))),inverse(multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),C))),D)),c_0)))))) = D. [back_rewrite(2312),rewrite([2396(6),2395(17),2396(16),2395(21)])].
% 1.70/1.98 2484 inverse(multiply(c_0,inverse(multiply(c_0,multiply(inverse(A),c_0))))) = multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),c_0))). [back_rewrite(2301),rewrite([2395(6),2395(18),2395(17)])].
% 1.70/1.98 2485 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A)))))) = multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(B,c_0))))))). [back_rewrite(2299),rewrite([2395(7),2396(6)])].
% 1.70/1.98 2498 inverse(multiply(inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(A)),c_0)))),inverse(multiply(inverse(multiply(A,multiply(c_0,B))),c_0)))) = multiply(C,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(B)),C))))). [back_rewrite(2258),rewrite([2395(8),2395(7),2395(26),2396(25)])].
% 1.70/1.98 2511 multiply(c_0,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(A)),c_0))))) = multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0))))))). [back_rewrite(2237),rewrite([2395(9),2395(8)])].
% 1.70/1.98 2519 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),A))))) = B. [back_rewrite(2227),rewrite([2395(9),2396(8)])].
% 1.70/1.98 2530 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A))) = multiply(C,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(B)),C))))). [back_rewrite(2215),rewrite([2395(10),2396(9),2395(17),2396(16)])].
% 1.70/1.98 2532 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),inverse(multiply(c_0,multiply(inverse(B),inverse(inverse(multiply(B,C))))))))) = inverse(multiply(c_0,inverse(multiply(inverse(multiply(C,A)),c_0)))). [back_rewrite(2209),rewrite([2395(17),2396(16)])].
% 1.70/1.98 2535 inverse(multiply(inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A)))))),inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A)))))))),D)),inverse(multiply(B,inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A)))))))))))) = multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(D))),C))). [back_rewrite(2204),rewrite([2395(7),2396(6),2395(16),2396(15),2395(29),2396(28),2395(46),2396(45)])].
% 1.70/1.98 2542 multiply(inverse(multiply(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),B))),multiply(C,D))),c_0) = multiply(c_0,multiply(c_0,multiply(inverse(D),inverse(multiply(c_0,multiply(inverse(A),multiply(B,C))))))). [back_rewrite(2195),rewrite([2395(9),2396(8),2396(20),2395(26),2396(25)])].
% 1.70/1.98 2550 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A)))))) = multiply(C,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),C))))). [back_rewrite(2178),rewrite([2395(18),2396(17),2179(14),2395(15),2396(14)])].
% 1.70/1.98 2574 inverse(multiply(inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(A)),B)))),inverse(multiply(inverse(multiply(A,C)),c_0)))) = multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(C))),B))). [back_rewrite(2140),rewrite([2395(8),2396(7),2395(24),2396(23)])].
% 1.70/1.98 2577 multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),B))),inverse(inverse(multiply(multiply(C,inverse(multiply(c_0,multiply(inverse(A),multiply(B,C))))),inverse(D)))))),c_0)) = D. [back_rewrite(2135),rewrite([2395(10),2396(9),2396(15),2395(25)])].
% 1.70/1.98 2578 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),C))))))),A))) = multiply(D,inverse(multiply(c_0,multiply(inverse(B),multiply(C,D))))). [back_rewrite(2134),rewrite([2395(11),2396(10),2395(18),2396(17),2396(23)])].
% 1.70/1.98 2579 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A)))))) = multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(C,B)))),C))). [back_rewrite(2133),rewrite([2395(7),2396(6),2395(19),2396(18)])].
% 1.70/1.98 2580 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(C)),B))))))))),A))) = multiply(D,inverse(multiply(c_0,multiply(c_0,multiply(inverse(C),D))))). [back_rewrite(2132),rewrite([2395(10),2396(9),2395(19),2396(18),2395(25),2396(24)])].
% 1.70/1.98 2588 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(multiply(B,inverse(multiply(c_0,multiply(c_0,multiply(inverse(C),B)))))),A)))))) = multiply(D,inverse(multiply(c_0,multiply(c_0,multiply(inverse(multiply(E,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(C)),E)))))),D))))). [back_rewrite(2124),rewrite([2395(9),2396(8),2395(15),2396(14),2395(27),2396(26),2395(33),2396(32)])].
% 1.70/1.98 2593 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(B)),A)))))) = B. [back_rewrite(2118),rewrite([2395(8),2396(7)])].
% 1.70/1.98 2605 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A))))),c_0))))))) = multiply(C,inverse(multiply(c_0,multiply(c_0,multiply(B,C))))). [back_rewrite(2101),rewrite([2395(10),2396(9),2395(29),2396(28),2395(35),2396(34),2593(31)])].
% 1.70/1.98 2617 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A))))) = multiply(B,c_0). [back_rewrite(2303),rewrite([2396(5),2395(7),2396(6)])].
% 1.70/1.98 2625 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(c_0,A)))),c_0))) = multiply(inverse(A),c_0). [back_rewrite(2498),rewrite([2574(18),2617(20)])].
% 1.70/1.98 2635 inverse(multiply(multiply(A,c_0),c_0)) = multiply(multiply(inverse(A),c_0),c_0). [back_rewrite(2588),rewrite([2617(10),2617(10),2617(16),2617(16)])].
% 1.70/1.98 2644 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,multiply(multiply(inverse(A),c_0),c_0)))))) = multiply(B,inverse(multiply(c_0,multiply(c_0,multiply(A,B))))). [back_rewrite(2605),rewrite([2617(11),2635(8)])].
% 1.70/1.98 2652 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(B),c_0))))),A))) = multiply(B,c_0). [back_rewrite(2580),rewrite([2617(11),2617(20)])].
% 1.70/1.98 2653 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A))) = inverse(multiply(B,c_0)). [back_rewrite(2579),rewrite([2617(8)]),flip(a)].
% 1.70/1.98 2659 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A)))))) = multiply(B,c_0). [back_rewrite(2550),rewrite([2617(16)])].
% 1.70/1.98 2665 inverse(multiply(inverse(multiply(A,c_0)),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(A,c_0)))),C)),inverse(multiply(A,inverse(multiply(A,c_0)))))))) = multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(C))),B))). [back_rewrite(2535),rewrite([2617(8),2617(11),2617(18)])].
% 1.70/1.98 2666 inverse(multiply(A,c_0)) = multiply(inverse(A),c_0). [back_rewrite(2530),rewrite([2653(9),2617(12)])].
% 1.70/1.98 2672 multiply(inverse(inverse(A)),c_0) = A. [back_rewrite(2519),rewrite([2617(10)])].
% 1.70/1.98 2674 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,multiply(inverse(A),c_0)))))) = multiply(c_0,inverse(multiply(c_0,multiply(c_0,A)))). [back_rewrite(2511),rewrite([2672(7),2666(13)]),flip(a)].
% 1.70/1.98 2687 multiply(c_0,inverse(multiply(c_0,multiply(c_0,A)))) = multiply(inverse(A),c_0). [back_rewrite(2485),rewrite([2617(8),2666(3),2666(9),2674(14)]),flip(a)].
% 1.70/1.98 2689 multiply(multiply(A,inverse(multiply(c_0,multiply(inverse(B),multiply(C,A))))),inverse(multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),C))),D)),c_0)))) = multiply(D,c_0). [back_rewrite(2472),rewrite([2617(31)])].
% 1.70/1.98 2701 multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A)) = multiply(c_0,multiply(c_0,inverse(B))). [back_rewrite(2426),rewrite([2666(7),2672(7),2617(14),2396(8),2672(14)])].
% 1.70/1.98 2704 inverse(multiply(c_0,multiply(inverse(multiply(A,inverse(inverse(multiply(multiply(inverse(A),c_0),B))))),c_0))) = B. [back_rewrite(2421),rewrite([2617(9),2666(4)])].
% 1.70/1.98 2715 multiply(A,multiply(inverse(A),c_0)) = c_0. [back_rewrite(2391),rewrite([2666(6),2674(11),2687(7)])].
% 1.70/1.98 2716 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,A))))) = A. [back_rewrite(2270),rewrite([2666(7),2672(7)])].
% 1.70/1.98 2717 multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,B))))) = B. [back_rewrite(2230),rewrite([2666(6),2672(6)])].
% 1.70/1.98 2733 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),inverse(B)))) = inverse(multiply(c_0,multiply(B,A))). [back_rewrite(2532),rewrite([2717(12),2666(15),2672(15)])].
% 1.70/1.98 2745 multiply(c_0,multiply(c_0,multiply(c_0,A))) = multiply(A,c_0). [back_rewrite(2652),rewrite([2701(11),2666(7),2672(7)])].
% 1.70/1.98 2747 multiply(c_0,multiply(c_0,inverse(multiply(c_0,A)))) = multiply(inverse(A),c_0). [back_rewrite(2625),rewrite([2672(9)])].
% 1.70/1.98 2748 multiply(A,inverse(multiply(c_0,multiply(inverse(B),multiply(C,A))))) = multiply(multiply(inverse(C),inverse(inverse(B))),c_0). [back_rewrite(2578),rewrite([2701(16),2687(13),2396(9),2745(10)]),flip(a)].
% 1.70/1.98 2750 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),B))) = multiply(c_0,multiply(inverse(inverse(inverse(A))),B)). [back_rewrite(2665),rewrite([2666(3),2666(6),2666(13),2715(14),1786(12),2396(12),2748(13),2666(7),2396(7)]),flip(a)].
% 1.70/1.98 2760 inverse(multiply(c_0,inverse(multiply(c_0,multiply(inverse(A),c_0))))) = multiply(c_0,multiply(c_0,inverse(A))). [back_rewrite(2484),rewrite([2672(16)])].
% 1.70/1.98 2761 inverse(inverse(multiply(multiply(multiply(inverse(A),inverse(inverse(B))),c_0),inverse(multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(inverse(inverse(inverse(B))),A)),C)),c_0)))))) = C. [back_rewrite(2475),rewrite([2748(7),2750(15)])].
% 1.70/1.98 2768 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A))))) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(2644),rewrite([2716(13)]),flip(a)].
% 1.70/1.98 2789 multiply(multiply(multiply(inverse(A),inverse(inverse(B))),c_0),inverse(multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(inverse(inverse(inverse(B))),A)),C)),c_0)))) = multiply(C,c_0). [back_rewrite(2689),rewrite([2748(7),2750(15)])].
% 1.70/1.98 2793 multiply(c_0,multiply(inverse(multiply(multiply(c_0,multiply(inverse(inverse(inverse(A))),B)),inverse(inverse(multiply(multiply(multiply(inverse(B),inverse(inverse(A))),c_0),inverse(C)))))),c_0)) = C. [back_rewrite(2577),rewrite([2750(9),2748(14)])].
% 1.70/1.98 2799 inverse(multiply(c_0,multiply(A,B))) = multiply(c_0,multiply(inverse(inverse(inverse(B))),inverse(A))). [back_rewrite(2733),rewrite([2750(9)]),flip(a)].
% 1.70/1.98 2807 multiply(c_0,multiply(c_0,multiply(inverse(A),multiply(c_0,multiply(inverse(inverse(inverse(multiply(B,C)))),inverse(inverse(D))))))) = multiply(inverse(multiply(multiply(c_0,multiply(inverse(inverse(inverse(D))),B)),multiply(C,A))),c_0). [back_rewrite(2542),rewrite([2750(8),2799(20)]),flip(a)].
% 1.70/1.98 2811 inverse(inverse(multiply(multiply(multiply(inverse(A),inverse(inverse(B))),c_0),multiply(c_0,multiply(c_0,inverse(inverse(multiply(multiply(c_0,multiply(inverse(inverse(inverse(B))),A)),C)))))))) = C. [back_rewrite(2761),rewrite([2799(19),1786(9),1786(9),1786(9)])].
% 1.70/1.98 2812 inverse(multiply(A,multiply(c_0,inverse(multiply(B,A))))) = multiply(B,c_0). [back_rewrite(2659),rewrite([2799(6),1786(7),2672(7)])].
% 1.70/1.98 2819 multiply(c_0,multiply(c_0,inverse(A))) = inverse(A). [back_rewrite(2760),rewrite([2799(7),1786(4),1786(4),1786(4),2745(8),2672(4)]),flip(a)].
% 1.70/1.98 2827 multiply(multiply(multiply(inverse(A),inverse(inverse(B))),c_0),inverse(inverse(multiply(multiply(c_0,multiply(inverse(inverse(inverse(B))),A)),C)))) = multiply(C,c_0). [back_rewrite(2789),rewrite([2799(19),1786(9),1786(9),1786(9),2819(19)])].
% 1.70/1.98 2838 multiply(A,multiply(c_0,inverse(multiply(B,A)))) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(2768),rewrite([2799(6),1786(7),2672(7)])].
% 1.70/1.98 2865 inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(inverse(A),c_0),B)))))) = B. [back_rewrite(2704),rewrite([2799(13),1786(3),1786(3),1786(3),2819(13)])].
% 1.70/1.98 2867 multiply(inverse(A),c_0) = inverse(A). [back_rewrite(2687),rewrite([2799(6),1786(7),2672(7),2819(5)]),flip(a)].
% 1.70/1.98 2878 inverse(inverse(A)) = A. [back_rewrite(2811),rewrite([2819(19),2827(16),2666(3),2867(3)])].
% 1.70/1.98 2881 inverse(multiply(c_0,A)) = inverse(A). [back_rewrite(2747),rewrite([2819(7),2867(6)])].
% 1.70/1.98 2882 multiply(c_0,multiply(c_0,A)) = A. [back_rewrite(2716),rewrite([2881(5),2878(4)])].
% 1.70/1.98 2889 multiply(A,c_0) = A. [back_rewrite(2812),rewrite([2838(5),2867(3),2867(3),2878(2)]),flip(a)].
% 1.70/1.98 2898 multiply(A,multiply(inverse(A),B)) = B. [back_rewrite(2865),rewrite([2889(3),2878(4),2878(5)])].
% 1.70/1.98 2910 inverse(multiply(multiply(c_0,multiply(inverse(A),B)),multiply(C,D))) = multiply(inverse(D),multiply(c_0,multiply(inverse(multiply(B,C)),A))). [back_rewrite(2807),rewrite([2878(7),2878(8),2882(11),2878(10),2889(16)]),flip(a)].
% 1.70/1.98 2913 multiply(c_0,A) = A. [back_rewrite(2793),rewrite([2878(4),2878(8),2889(9),2878(11),2910(11),2878(3),2898(5),1112(4),2889(4),2889(3),2889(3)])].
% 1.70/1.98 2914 $F # answer(prove_these_axioms_2). [resolve(2913,a,1740,a)].
% 1.70/1.98
% 1.70/1.98 % SZS output end Refutation
% 1.70/1.98 ============================== end of proof ==========================
% 1.70/1.98
% 1.70/1.98 ============================== STATISTICS ============================
% 1.70/1.98
% 1.70/1.98 Given=32. Generated=5730. Kept=2913. proofs=1.
% 1.70/1.98 Usable=5. Sos=61. Demods=106. Limbo=46, Disabled=2802. Hints=0.
% 1.70/1.98 Megabytes=7.98.
% 1.70/1.98 User_CPU=0.92, System_CPU=0.01, Wall_clock=1.
% 1.70/1.98
% 1.70/1.98 ============================== end of statistics =====================
% 1.70/1.98
% 1.70/1.98 ============================== end of search =========================
% 1.70/1.98
% 1.70/1.98 THEOREM PROVED
% 1.70/1.98 % SZS status Unsatisfiable
% 1.70/1.98
% 1.70/1.98 Exiting with 1 proof.
% 1.70/1.98
% 1.70/1.98 Process 10671 exit (max_proofs) Tue Jun 14 13:41:22 2022
% 1.70/1.98 Prover9 interrupted
%------------------------------------------------------------------------------