TSTP Solution File: GRP417-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 1.59s 1.88s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 06:39:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.59/1.88 ============================== Prover9 ===============================
% 1.59/1.88 Prover9 (32) version 2009-11A, November 2009.
% 1.59/1.88 Process 20736 was started by sandbox on n005.cluster.edu,
% 1.59/1.88 Mon Jun 13 06:39:09 2022
% 1.59/1.88 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20583_n005.cluster.edu".
% 1.59/1.88 ============================== end of head ===========================
% 1.59/1.88
% 1.59/1.88 ============================== INPUT =================================
% 1.59/1.88
% 1.59/1.88 % Reading from file /tmp/Prover9_20583_n005.cluster.edu
% 1.59/1.88
% 1.59/1.88 set(prolog_style_variables).
% 1.59/1.88 set(auto2).
% 1.59/1.88 % set(auto2) -> set(auto).
% 1.59/1.88 % set(auto) -> set(auto_inference).
% 1.59/1.88 % set(auto) -> set(auto_setup).
% 1.59/1.88 % set(auto_setup) -> set(predicate_elim).
% 1.59/1.88 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.59/1.88 % set(auto) -> set(auto_limits).
% 1.59/1.88 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.59/1.88 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.59/1.88 % set(auto) -> set(auto_denials).
% 1.59/1.88 % set(auto) -> set(auto_process).
% 1.59/1.88 % set(auto2) -> assign(new_constants, 1).
% 1.59/1.88 % set(auto2) -> assign(fold_denial_max, 3).
% 1.59/1.88 % set(auto2) -> assign(max_weight, "200.000").
% 1.59/1.88 % set(auto2) -> assign(max_hours, 1).
% 1.59/1.88 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.59/1.88 % set(auto2) -> assign(max_seconds, 0).
% 1.59/1.88 % set(auto2) -> assign(max_minutes, 5).
% 1.59/1.88 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.59/1.88 % set(auto2) -> set(sort_initial_sos).
% 1.59/1.88 % set(auto2) -> assign(sos_limit, -1).
% 1.59/1.88 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.59/1.88 % set(auto2) -> assign(max_megs, 400).
% 1.59/1.88 % set(auto2) -> assign(stats, some).
% 1.59/1.88 % set(auto2) -> clear(echo_input).
% 1.59/1.88 % set(auto2) -> set(quiet).
% 1.59/1.88 % set(auto2) -> clear(print_initial_clauses).
% 1.59/1.88 % set(auto2) -> clear(print_given).
% 1.59/1.88 assign(lrs_ticks,-1).
% 1.59/1.88 assign(sos_limit,10000).
% 1.59/1.88 assign(order,kbo).
% 1.59/1.88 set(lex_order_vars).
% 1.59/1.88 clear(print_given).
% 1.59/1.88
% 1.59/1.88 % formulas(sos). % not echoed (2 formulas)
% 1.59/1.88
% 1.59/1.88 ============================== end of input ==========================
% 1.59/1.88
% 1.59/1.88 % From the command line: assign(max_seconds, 300).
% 1.59/1.88
% 1.59/1.88 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.59/1.88
% 1.59/1.88 % Formulas that are not ordinary clauses:
% 1.59/1.88
% 1.59/1.88 ============================== end of process non-clausal formulas ===
% 1.59/1.88
% 1.59/1.88 ============================== PROCESS INITIAL CLAUSES ===============
% 1.59/1.88
% 1.59/1.88 ============================== PREDICATE ELIMINATION =================
% 1.59/1.88
% 1.59/1.88 ============================== end predicate elimination =============
% 1.59/1.88
% 1.59/1.88 Auto_denials:
% 1.59/1.88 % copying label prove_these_axioms_3 to answer in negative clause
% 1.59/1.88
% 1.59/1.88 Term ordering decisions:
% 1.59/1.88
% 1.59/1.88 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 1.59/1.88 Function symbol KB weights: a3=1. b3=1. c3=1. multiply=1. inverse=0.
% 1.59/1.88
% 1.59/1.88 ============================== end of process initial clauses ========
% 1.59/1.88
% 1.59/1.88 ============================== CLAUSES FOR SEARCH ====================
% 1.59/1.88
% 1.59/1.88 ============================== end of clauses for search =============
% 1.59/1.88
% 1.59/1.88 ============================== SEARCH ================================
% 1.59/1.88
% 1.59/1.88 % Starting search at 0.01 seconds.
% 1.59/1.88
% 1.59/1.88 ============================== PROOF =================================
% 1.59/1.88 % SZS status Unsatisfiable
% 1.59/1.88 % SZS output start Refutation
% 1.59/1.88
% 1.59/1.88 % Proof 1 at 0.93 (+ 0.01) seconds: prove_these_axioms_3.
% 1.59/1.88 % Length of proof is 274.
% 1.59/1.88 % Level of proof is 39.
% 1.59/1.88 % Maximum clause weight is 185.000.
% 1.59/1.88 % Given clauses 32.
% 1.59/1.88
% 1.59/1.88 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].
% 1.59/1.88 2 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # label(prove_these_axioms_3) # label(negated_conjecture) # answer(prove_these_axioms_3). [assumption].
% 1.59/1.88 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))].
% 1.59/1.88 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))].
% 1.59/1.88 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)])].
% 1.59/1.88 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))].
% 1.59/1.88 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))].
% 1.59/1.88 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))].
% 1.59/1.88 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))].
% 1.59/1.88 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))].
% 1.59/1.88 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)])].
% 1.59/1.88 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))].
% 1.59/1.88 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))].
% 1.59/1.88 105 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)].
% 1.59/1.88 113 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))].
% 1.59/1.88 118 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))].
% 1.59/1.88 121 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))].
% 1.59/1.88 132 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))].
% 1.59/1.88 169 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))].
% 1.59/1.88 183 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))].
% 1.59/1.88 184 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)])].
% 1.59/1.88 188 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)].
% 1.59/1.88 190 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)].
% 1.59/1.88 194 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))].
% 1.59/1.88 195 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))].
% 1.59/1.88 196 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))].
% 1.59/1.88 206 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)])].
% 1.59/1.88 208 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)])].
% 1.59/1.88 211 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)].
% 1.59/1.88 215 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))].
% 1.59/1.88 222 inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,D))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C)))))) = multiply(B,inverse(inverse(multiply(C,inverse(multiply(multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(F,E)),multiply(F,inverse(D)))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(C),C)))))))). [para(4(a,1),105(a,1,2,1,1,2,1,1)),flip(a)].
% 1.59/1.88 289 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)])].
% 1.59/1.88 295 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))].
% 1.59/1.88 312 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))].
% 1.59/1.88 316 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))].
% 1.59/1.88 323 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)].
% 1.59/1.89 328 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)].
% 1.59/1.89 360 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)].
% 1.59/1.89 366 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))].
% 1.59/1.89 395 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)].
% 1.59/1.89 427 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)])].
% 1.59/1.89 430 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))].
% 1.59/1.89 467 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))].
% 1.59/1.89 476 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)])].
% 1.59/1.89 552 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)].
% 1.59/1.89 556 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))].
% 1.59/1.89 557 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)].
% 1.59/1.89 636 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))].
% 1.59/1.89 637 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))].
% 1.59/1.89 639 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))].
% 1.59/1.89 652 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))].
% 1.59/1.89 661 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))].
% 1.59/1.89 663 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))].
% 1.59/1.89 670 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))].
% 1.59/1.89 679 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))].
% 1.59/1.89 683 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))].
% 1.59/1.89 695 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))].
% 1.59/1.89 697 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))].
% 1.59/1.89 707 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))].
% 1.59/1.89 721 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))].
% 1.59/1.89 772 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))].
% 1.59/1.89 798 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))].
% 1.59/1.89 843 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))].
% 1.59/1.89 849 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)])].
% 1.59/1.89 868 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)].
% 1.59/1.89 869 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)])].
% 1.59/1.89 894 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))].
% 1.59/1.89 901 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))].
% 1.59/1.89 921 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)])].
% 1.59/1.89 930 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)])].
% 1.59/1.89 931 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))].
% 1.59/1.89 937 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))].
% 1.59/1.89 963 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))].
% 1.59/1.89 968 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))].
% 1.59/1.89 974 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)])].
% 1.59/1.89 990 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))].
% 1.59/1.89 994 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))].
% 1.59/1.89 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))].
% 1.59/1.89 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))].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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))].
% 1.59/1.89 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)].
% 1.59/1.89 1112 multiply(inverse(A),A) = c_0. [back_rewrite(1086),rewrite([1111(18)]),flip(a)].
% 1.59/1.89 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)].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 1691 multiply(A,inverse(inverse(multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(C),inverse(D)))),inverse(c_0)))),inverse(c_0))))))) = inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(inverse(multiply(A,B))),D))),inverse(c_0))). [back_rewrite(222),rewrite([1155(6),1112(14),1155(17),1112(21),1112(26)]),flip(a)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 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)].
% 1.59/1.89 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)])].
% 1.59/1.89 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)])].
% 1.59/1.89 1740 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)])].
% 1.59/1.89 1762 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)])].
% 1.59/1.89 1767 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)])].
% 1.59/1.89 1777 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)])].
% 1.59/1.89 1783 multiply(inverse(c_0),inverse(c_0)) = c_0. [back_rewrite(1458),rewrite([1493(21),1651(26),1493(14),1112(10),1112(4)])].
% 1.59/1.89 1785 inverse(c_0) = c_0. [back_rewrite(1448),rewrite([1762(29),1654(22),1411(13),1783(7),1783(5)])].
% 1.59/1.89 1860 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([1785(2),1785(7),1785(12),1785(16),1785(27)])].
% 1.59/1.89 1896 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([1785(2),1785(14),1785(17),1785(21),1785(26),1785(32)])].
% 1.59/1.89 1912 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([1785(5),1785(8),1785(14),1785(18),1785(24),1785(32)])].
% 1.59/1.89 1978 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([1785(2),1785(3),1785(8),1785(14),1785(19),1785(30),1785(35)])].
% 1.59/1.89 1986 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([1785(2),1785(3),1785(8),1785(19),1785(24),1785(32),1785(33),1785(38),1785(49)])].
% 1.59/1.89 2043 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(1777),rewrite([1785(6),1785(10),1785(11),1785(18),1785(23),1785(30),1785(36),1785(45),1785(50)])].
% 1.59/1.89 2046 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([1785(6),1785(10),1785(11),1785(18),1785(23),1785(30),1785(36)])].
% 1.59/1.89 2066 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([1785(2),1785(3),1785(9),1785(13),1785(18)])].
% 1.59/1.89 2067 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([1785(5),1785(6),1785(11),1785(16)])].
% 1.59/1.89 2068 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([1785(2),1785(9),1785(15),1785(21),1785(22),1785(27),1785(34),1785(40)])].
% 1.59/1.89 2069 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([1785(2),1785(3),1785(9),1785(14),1785(15),1785(15),1785(21)])].
% 1.59/1.89 2072 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([1785(2),1785(7),1785(12),1785(13),1785(14),1785(18),1785(25),1785(26),1785(27)])].
% 1.59/1.89 2081 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),c_0))),c_0))) = multiply(c_0,inverse(multiply(c_0,c_0))). [back_rewrite(1411),rewrite([1785(2),1785(4),1785(8),1785(12),1785(13),1785(14)])].
% 1.59/1.89 2087 multiply(c_0,c_0) = c_0. [back_rewrite(1783),rewrite([1785(2),1785(3)])].
% 1.59/1.89 2100 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(1767),rewrite([1785(2),1785(3),1785(3),1785(4),1785(5),1785(10),1785(14),1785(22),1785(24),1785(30),1785(37)])].
% 1.59/1.89 2117 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(B)))),c_0)))) = B. [back_rewrite(1740),rewrite([1785(2),1785(8)])].
% 1.59/1.89 2120 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))) = B. [back_rewrite(1736),rewrite([1785(2),1785(7)])].
% 1.59/1.89 2123 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([1785(2),1785(4),1785(9),1785(16),1785(21),1785(23),1785(29),1785(36)])].
% 1.59/1.89 2131 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([1785(2),1785(4),1785(10),1785(20),1785(22),1785(27)])].
% 1.59/1.89 2132 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([1785(2),1785(7),1785(12),1785(20)])].
% 1.59/1.89 2133 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([1785(2),1785(4),1785(11),1785(19),1785(25)])].
% 1.59/1.89 2134 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([1785(2),1785(3),1785(10),1785(16),1785(27)])].
% 1.59/1.89 2137 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([1785(2),1785(10),1785(13)])].
% 1.59/1.89 2139 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([1785(2),1785(8),1785(13),1785(18),1785(25)])].
% 1.59/1.89 2141 multiply(A,inverse(inverse(multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(multiply(c_0,multiply(inverse(C),inverse(D)))),c_0))),c_0)))))) = inverse(multiply(inverse(multiply(c_0,multiply(inverse(inverse(multiply(A,B))),D))),c_0)). [back_rewrite(1691),rewrite([1785(2),1785(8),1785(12),1785(19),1785(26)])].
% 1.59/1.89 2158 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([1785(2),1785(3),1785(9),1785(16),1785(21)])].
% 1.59/1.89 2159 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([1785(2),1785(8),1785(15),1785(17),1785(18),1785(23),1785(30)])].
% 1.59/1.89 2164 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([1785(2),1785(13),1785(15),1785(16),1785(16),1785(20)])].
% 1.59/1.89 2177 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([1785(2),1785(4),1785(5),1785(5),1785(6),1785(7),1785(18),1785(23),1785(28)])].
% 1.59/1.89 2178 inverse(multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0)))))))) = A. [back_rewrite(1607),rewrite([1785(2),1785(3),1785(3),1785(4),1785(5)])].
% 1.59/1.89 2194 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([1785(2),1785(9),1785(14),1785(16),1785(21),1785(28)])].
% 1.59/1.89 2203 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([1785(2),1785(7),1785(12),1785(17),1785(26),1785(31),1785(42),1785(49)])].
% 1.59/1.89 2208 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([1785(2),1785(3),1785(17),1785(19),1785(22)])].
% 1.59/1.89 2214 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([1785(2),1785(10),1785(12),1785(18)])].
% 1.59/1.89 2226 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0))) = B. [back_rewrite(1348),rewrite([1785(2),1785(9)])].
% 1.59/1.89 2229 multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(inverse(B),c_0))))))) = B. [back_rewrite(1285),rewrite([1785(2),1785(5)])].
% 1.59/1.89 2236 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([1785(2),1785(3),1785(4),1785(4),1785(9),1785(13),1785(14),1785(14),1785(15),1785(16)])].
% 1.59/1.89 2249 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(c_0,multiply(inverse(B),C)). [back_rewrite(1155),rewrite([1785(6)])].
% 1.59/1.89 2257 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(1896),rewrite([2164(14)])].
% 1.59/1.89 2269 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(inverse(A),c_0))))))) = A. [back_rewrite(1912),rewrite([2159(32),2158(23),2137(22),2249(19),1785(3)])].
% 1.59/1.89 2270 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(1978),rewrite([2120(12)])].
% 1.59/1.89 2295 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),c_0))),c_0))) = c_0. [back_rewrite(2081),rewrite([2087(14),1785(13),2087(13)])].
% 1.59/1.89 2298 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(2072),rewrite([2087(14),1785(13),2087(13),2087(22),1785(21),2087(21),2087(20),1785(19),2236(21)])].
% 1.59/1.89 2300 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(2069),rewrite([2087(3),1785(2)])].
% 1.59/1.89 2301 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(2068),rewrite([2087(22),1785(21),2194(21),1112(17),2087(3),1785(2),2087(3),1785(2)]),flip(a)].
% 1.59/1.89 2302 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),c_0)),c_0))) = multiply(B,c_0). [back_rewrite(2067),rewrite([2087(6),1785(5),2087(13),1785(12)])].
% 1.59/1.89 2303 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(2066),rewrite([2087(3),1785(2)]),flip(a)].
% 1.59/1.89 2311 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(2046),rewrite([2301(39),1785(23)])].
% 1.59/1.89 2314 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(2043),rewrite([2301(39),1785(23)])].
% 1.59/1.89 2350 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(1986),rewrite([2120(12),2120(31)])].
% 1.59/1.89 2366 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(1860),rewrite([2303(9),2300(9)]),flip(a)].
% 1.59/1.89 2373 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(2270),rewrite([2350(30)])].
% 1.59/1.89 2396 multiply(A,multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0)))))))) = c_0. [para(2178(a,1),1112(a,1,1))].
% 1.59/1.89 2404 multiply(inverse(multiply(c_0,A)),c_0) = multiply(c_0,multiply(inverse(A),c_0)). [para(2087(a,1),2249(a,1,2))].
% 1.59/1.89 2405 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(c_0,multiply(inverse(B),A)). [para(1112(a,1),2249(a,1,2))].
% 1.59/1.89 2409 multiply(c_0,multiply(inverse(A),inverse(multiply(c_0,multiply(c_0,multiply(c_0,B)))))) = multiply(inverse(multiply(B,A)),c_0). [para(2295(a,1),2249(a,1,2)),rewrite([2404(14),2405(13),1785(10)]),flip(a)].
% 1.59/1.89 2436 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(2373),rewrite([2404(8),2405(7),2404(18)])].
% 1.59/1.89 2441 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(2366),rewrite([2404(17),2405(16),2404(27),2404(26)])].
% 1.59/1.89 2487 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(2314),rewrite([2405(6),2404(17),2405(16),2404(21),2404(30),2405(29)])].
% 1.59/1.89 2490 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(2311),rewrite([2405(6),2404(17),2405(16),2404(21)])].
% 1.59/1.89 2499 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(2300),rewrite([2404(6),2404(18),2404(17)])].
% 1.59/1.89 2500 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(2298),rewrite([2404(7),2405(6)])].
% 1.59/1.89 2513 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(2257),rewrite([2404(8),2404(7),2404(26),2405(25)])].
% 1.59/1.89 2526 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(2236),rewrite([2404(9),2404(8)])].
% 1.59/1.89 2534 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),A))))) = B. [back_rewrite(2226),rewrite([2404(9),2405(8)])].
% 1.59/1.89 2545 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(2214),rewrite([2404(10),2405(9),2404(17),2405(16)])].
% 1.59/1.89 2547 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(2208),rewrite([2404(17),2405(16)])].
% 1.59/1.89 2550 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(2203),rewrite([2404(7),2405(6),2404(16),2405(15),2404(29),2405(28),2404(46),2405(45)])].
% 1.59/1.89 2557 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(2194),rewrite([2404(9),2405(8),2405(20),2404(26),2405(25)])].
% 1.59/1.89 2565 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(2177),rewrite([2404(18),2405(17),2178(14),2404(15),2405(14)])].
% 1.59/1.89 2588 multiply(A,inverse(inverse(multiply(B,inverse(multiply(multiply(C,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(D)),C))))),c_0)))))) = inverse(multiply(c_0,multiply(c_0,multiply(inverse(D),inverse(multiply(A,B)))))). [back_rewrite(2141),rewrite([2404(8),2405(7),2404(25),2405(24)])].
% 1.59/1.89 2589 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(2139),rewrite([2404(8),2405(7),2404(24),2405(23)])].
% 1.59/1.89 2592 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(2134),rewrite([2404(10),2405(9),2405(15),2404(25)])].
% 1.59/1.89 2593 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(2133),rewrite([2404(11),2405(10),2404(18),2405(17),2405(23)])].
% 1.59/1.89 2594 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(2132),rewrite([2404(7),2405(6),2404(19),2405(18)])].
% 1.59/1.89 2595 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(2131),rewrite([2404(10),2405(9),2404(19),2405(18),2404(25),2405(24)])].
% 1.59/1.89 2603 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(2123),rewrite([2404(9),2405(8),2404(15),2405(14),2404(27),2405(26),2404(33),2405(32)])].
% 1.59/1.89 2608 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(B)),A)))))) = B. [back_rewrite(2117),rewrite([2404(8),2405(7)])].
% 1.59/1.89 2620 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(2100),rewrite([2404(10),2405(9),2404(29),2405(28),2404(35),2405(34),2608(31)])].
% 1.59/1.89 2631 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A))))) = multiply(B,c_0). [back_rewrite(2302),rewrite([2405(5),2404(7),2405(6)])].
% 1.59/1.89 2639 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(c_0,A)))),c_0))) = multiply(inverse(A),c_0). [back_rewrite(2513),rewrite([2589(18),2631(20)])].
% 1.59/1.89 2649 inverse(multiply(multiply(A,c_0),c_0)) = multiply(multiply(inverse(A),c_0),c_0). [back_rewrite(2603),rewrite([2631(10),2631(10),2631(16),2631(16)])].
% 1.59/1.89 2658 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(2620),rewrite([2631(11),2649(8)])].
% 1.59/1.89 2666 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(B),c_0))))),A))) = multiply(B,c_0). [back_rewrite(2595),rewrite([2631(11),2631(20)])].
% 1.59/1.89 2667 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A))) = inverse(multiply(B,c_0)). [back_rewrite(2594),rewrite([2631(8)]),flip(a)].
% 1.59/1.89 2668 inverse(multiply(c_0,multiply(c_0,multiply(inverse(A),inverse(multiply(B,C)))))) = multiply(B,inverse(inverse(multiply(C,multiply(multiply(inverse(inverse(A)),c_0),c_0))))). [back_rewrite(2588),rewrite([2631(9),2649(6)]),flip(a)].
% 1.59/1.89 2673 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A)))))) = multiply(B,c_0). [back_rewrite(2565),rewrite([2631(16)])].
% 1.59/1.89 2679 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(2550),rewrite([2631(8),2631(11),2631(18)])].
% 1.59/1.89 2680 inverse(multiply(A,c_0)) = multiply(inverse(A),c_0). [back_rewrite(2545),rewrite([2667(9),2631(12)])].
% 1.59/1.89 2686 multiply(inverse(inverse(A)),c_0) = A. [back_rewrite(2534),rewrite([2631(10)])].
% 1.59/1.89 2688 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(2526),rewrite([2686(7),2680(13)]),flip(a)].
% 1.59/1.89 2701 multiply(c_0,inverse(multiply(c_0,multiply(c_0,A)))) = multiply(inverse(A),c_0). [back_rewrite(2500),rewrite([2631(8),2680(3),2680(9),2688(14)]),flip(a)].
% 1.59/1.89 2703 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(2487),rewrite([2631(31)])].
% 1.59/1.89 2715 multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A)) = multiply(c_0,multiply(c_0,inverse(B))). [back_rewrite(2441),rewrite([2680(7),2686(7),2631(14),2405(8),2686(14)])].
% 1.59/1.89 2718 inverse(multiply(c_0,multiply(inverse(multiply(A,inverse(inverse(multiply(multiply(inverse(A),c_0),B))))),c_0))) = B. [back_rewrite(2436),rewrite([2631(9),2680(4)])].
% 1.59/1.89 2730 multiply(A,multiply(inverse(A),c_0)) = c_0. [back_rewrite(2396),rewrite([2680(6),2688(11),2701(7)])].
% 1.59/1.89 2731 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,A))))) = A. [back_rewrite(2269),rewrite([2680(7),2686(7)])].
% 1.59/1.89 2732 multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,B))))) = B. [back_rewrite(2229),rewrite([2680(6),2686(6)])].
% 1.59/1.89 2748 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),inverse(B)))) = inverse(multiply(c_0,multiply(B,A))). [back_rewrite(2547),rewrite([2732(12),2680(15),2686(15)])].
% 1.59/1.89 2761 multiply(c_0,multiply(c_0,multiply(c_0,A))) = multiply(A,c_0). [back_rewrite(2666),rewrite([2715(11),2680(7),2686(7)])].
% 1.59/1.89 2763 multiply(c_0,multiply(c_0,inverse(multiply(c_0,A)))) = multiply(inverse(A),c_0). [back_rewrite(2639),rewrite([2686(9)])].
% 1.59/1.89 2764 multiply(A,inverse(multiply(c_0,multiply(inverse(B),multiply(C,A))))) = multiply(multiply(inverse(C),inverse(inverse(B))),c_0). [back_rewrite(2593),rewrite([2715(16),2701(13),2405(9),2761(10)]),flip(a)].
% 1.59/1.89 2766 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),B))) = multiply(c_0,multiply(inverse(inverse(inverse(A))),B)). [back_rewrite(2679),rewrite([2680(3),2680(6),2680(13),2730(14),1785(12),2405(12),2764(13),2680(7),2405(7)]),flip(a)].
% 1.59/1.89 2776 inverse(multiply(c_0,multiply(c_0,multiply(inverse(A),inverse(multiply(B,C)))))) = multiply(B,inverse(inverse(multiply(C,multiply(A,c_0))))). [back_rewrite(2668),rewrite([2686(13)])].
% 1.59/1.89 2777 inverse(multiply(c_0,inverse(multiply(c_0,multiply(inverse(A),c_0))))) = multiply(c_0,multiply(c_0,inverse(A))). [back_rewrite(2499),rewrite([2686(16)])].
% 1.59/1.89 2779 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(2490),rewrite([2764(7),2766(15)])].
% 1.59/1.89 2786 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A))))) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(2658),rewrite([2731(13)]),flip(a)].
% 1.59/1.89 2805 multiply(c_0,multiply(inverse(A),multiply(inverse(B),c_0))) = multiply(inverse(multiply(B,A)),c_0). [back_rewrite(2409),rewrite([2761(8),2680(5)])].
% 1.59/1.89 2810 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(2703),rewrite([2764(7),2766(15)])].
% 1.59/1.89 2814 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(2592),rewrite([2766(9),2764(14)])].
% 1.59/1.89 2820 inverse(multiply(c_0,multiply(A,B))) = multiply(c_0,multiply(inverse(inverse(inverse(B))),inverse(A))). [back_rewrite(2748),rewrite([2766(9)]),flip(a)].
% 1.59/1.89 2828 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(2557),rewrite([2766(8),2820(20)]),flip(a)].
% 1.59/1.89 2832 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(2779),rewrite([2820(19),1785(9),1785(9),1785(9)])].
% 1.59/1.89 2833 inverse(multiply(A,multiply(c_0,inverse(multiply(B,A))))) = multiply(B,c_0). [back_rewrite(2673),rewrite([2820(6),1785(7),2686(7)])].
% 1.59/1.89 2840 multiply(c_0,multiply(c_0,inverse(A))) = inverse(A). [back_rewrite(2777),rewrite([2820(7),1785(4),1785(4),1785(4),2761(8),2686(4)]),flip(a)].
% 1.59/1.89 2848 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(2810),rewrite([2820(19),1785(9),1785(9),1785(9),2840(19)])].
% 1.59/1.89 2860 multiply(A,multiply(c_0,inverse(multiply(B,A)))) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(2786),rewrite([2820(6),1785(7),2686(7)])].
% 1.59/1.89 2866 multiply(c_0,inverse(multiply(inverse(A),inverse(multiply(B,C))))) = multiply(B,inverse(inverse(multiply(C,multiply(A,c_0))))). [back_rewrite(2776),rewrite([2820(9),1785(10),2686(10)])].
% 1.59/1.89 2888 inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(inverse(A),c_0),B)))))) = B. [back_rewrite(2718),rewrite([2820(13),1785(3),1785(3),1785(3),2840(13)])].
% 1.59/1.89 2890 multiply(inverse(A),c_0) = inverse(A). [back_rewrite(2701),rewrite([2820(6),1785(7),2686(7),2840(5)]),flip(a)].
% 1.59/1.89 2901 inverse(inverse(A)) = A. [back_rewrite(2832),rewrite([2840(19),2848(16),2680(3),2890(3)])].
% 1.59/1.89 2904 inverse(multiply(c_0,A)) = inverse(A). [back_rewrite(2763),rewrite([2840(7),2890(6)])].
% 1.59/1.89 2905 multiply(c_0,multiply(c_0,A)) = A. [back_rewrite(2731),rewrite([2904(5),2901(4)])].
% 1.59/1.89 2912 multiply(A,c_0) = A. [back_rewrite(2833),rewrite([2860(5),2890(3),2890(3),2901(2)]),flip(a)].
% 1.59/1.89 2921 multiply(A,multiply(inverse(A),B)) = B. [back_rewrite(2888),rewrite([2912(3),2901(4),2901(5)])].
% 1.59/1.89 2933 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(2828),rewrite([2901(7),2901(8),2905(11),2901(10),2912(16)]),flip(a)].
% 1.59/1.89 2936 multiply(c_0,A) = A. [back_rewrite(2814),rewrite([2901(4),2901(8),2912(9),2901(11),2933(11),2901(3),2921(5),1112(4),2912(4),2912(3),2912(3)])].
% 1.59/1.89 2937 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [back_rewrite(2805),rewrite([2912(5),2936(5),2912(7)]),flip(a)].
% 1.59/1.89 2959 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)). [back_rewrite(2866),rewrite([2937(4),2937(7),2937(5),2901(3),2901(3),2901(4),2936(4),2912(4),2937(4),2937(6),2901(4),2901(4)])].
% 1.59/1.89 2960 $F # answer(prove_these_axioms_3). [resolve(2959,a,2,a)].
% 1.59/1.89
% 1.59/1.89 % SZS output end Refutation
% 1.59/1.89 ============================== end of proof ==========================
% 1.59/1.89
% 1.59/1.89 ============================== STATISTICS ============================
% 1.59/1.89
% 1.59/1.89 Given=32. Generated=5806. Kept=2959. proofs=1.
% 1.59/1.89 Usable=5. Sos=37. Demods=98. Limbo=58, Disabled=2860. Hints=0.
% 1.59/1.89 Megabytes=8.01.
% 1.59/1.89 User_CPU=0.93, System_CPU=0.01, Wall_clock=1.
% 1.59/1.89
% 1.59/1.89 ============================== end of statistics =====================
% 1.59/1.89
% 1.59/1.89 ============================== end of search =========================
% 1.59/1.89
% 1.59/1.89 THEOREM PROVED
% 1.59/1.89 % SZS status Unsatisfiable
% 1.59/1.89
% 1.59/1.89 Exiting with 1 proof.
% 1.59/1.89
% 1.59/1.89 Process 20736 exit (max_proofs) Mon Jun 13 06:39:10 2022
% 1.59/1.89 Prover9 interrupted
%------------------------------------------------------------------------------