TSTP Solution File: GRP053-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n019.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 11:16:57 EDT 2022
% Result : Unsatisfiable 1.52s 1.80s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n019.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 : Tue Jun 14 02:26:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.52/1.80 ============================== Prover9 ===============================
% 1.52/1.80 Prover9 (32) version 2009-11A, November 2009.
% 1.52/1.80 Process 24050 was started by sandbox on n019.cluster.edu,
% 1.52/1.80 Tue Jun 14 02:26:55 2022
% 1.52/1.80 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23897_n019.cluster.edu".
% 1.52/1.80 ============================== end of head ===========================
% 1.52/1.80
% 1.52/1.80 ============================== INPUT =================================
% 1.52/1.80
% 1.52/1.80 % Reading from file /tmp/Prover9_23897_n019.cluster.edu
% 1.52/1.80
% 1.52/1.80 set(prolog_style_variables).
% 1.52/1.80 set(auto2).
% 1.52/1.80 % set(auto2) -> set(auto).
% 1.52/1.80 % set(auto) -> set(auto_inference).
% 1.52/1.80 % set(auto) -> set(auto_setup).
% 1.52/1.80 % set(auto_setup) -> set(predicate_elim).
% 1.52/1.80 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.52/1.80 % set(auto) -> set(auto_limits).
% 1.52/1.80 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.52/1.80 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.52/1.80 % set(auto) -> set(auto_denials).
% 1.52/1.80 % set(auto) -> set(auto_process).
% 1.52/1.80 % set(auto2) -> assign(new_constants, 1).
% 1.52/1.80 % set(auto2) -> assign(fold_denial_max, 3).
% 1.52/1.80 % set(auto2) -> assign(max_weight, "200.000").
% 1.52/1.80 % set(auto2) -> assign(max_hours, 1).
% 1.52/1.80 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.52/1.80 % set(auto2) -> assign(max_seconds, 0).
% 1.52/1.80 % set(auto2) -> assign(max_minutes, 5).
% 1.52/1.80 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.52/1.80 % set(auto2) -> set(sort_initial_sos).
% 1.52/1.80 % set(auto2) -> assign(sos_limit, -1).
% 1.52/1.80 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.52/1.80 % set(auto2) -> assign(max_megs, 400).
% 1.52/1.80 % set(auto2) -> assign(stats, some).
% 1.52/1.80 % set(auto2) -> clear(echo_input).
% 1.52/1.80 % set(auto2) -> set(quiet).
% 1.52/1.80 % set(auto2) -> clear(print_initial_clauses).
% 1.52/1.80 % set(auto2) -> clear(print_given).
% 1.52/1.80 assign(lrs_ticks,-1).
% 1.52/1.80 assign(sos_limit,10000).
% 1.52/1.80 assign(order,kbo).
% 1.52/1.80 set(lex_order_vars).
% 1.52/1.80 clear(print_given).
% 1.52/1.80
% 1.52/1.80 % formulas(sos). % not echoed (2 formulas)
% 1.52/1.80
% 1.52/1.80 ============================== end of input ==========================
% 1.52/1.80
% 1.52/1.80 % From the command line: assign(max_seconds, 300).
% 1.52/1.80
% 1.52/1.80 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.52/1.80
% 1.52/1.80 % Formulas that are not ordinary clauses:
% 1.52/1.80
% 1.52/1.80 ============================== end of process non-clausal formulas ===
% 1.52/1.80
% 1.52/1.80 ============================== PROCESS INITIAL CLAUSES ===============
% 1.52/1.80
% 1.52/1.80 ============================== PREDICATE ELIMINATION =================
% 1.52/1.80
% 1.52/1.80 ============================== end predicate elimination =============
% 1.52/1.80
% 1.52/1.80 Auto_denials:
% 1.52/1.80 % copying label prove_these_axioms to answer in negative clause
% 1.52/1.80
% 1.52/1.80 Term ordering decisions:
% 1.52/1.80
% 1.52/1.80 % Assigning unary symbol inverse kb_weight 0 and highest precedence (10).
% 1.52/1.80 Function symbol KB weights: a1=1. a2=1. a3=1. b1=1. b2=1. b3=1. c3=1. multiply=1. inverse=0.
% 1.52/1.80
% 1.52/1.80 ============================== end of process initial clauses ========
% 1.52/1.80
% 1.52/1.80 ============================== CLAUSES FOR SEARCH ====================
% 1.52/1.80
% 1.52/1.80 ============================== end of clauses for search =============
% 1.52/1.80
% 1.52/1.80 ============================== SEARCH ================================
% 1.52/1.80
% 1.52/1.80 % Starting search at 0.01 seconds.
% 1.52/1.80
% 1.52/1.80 ============================== PROOF =================================
% 1.52/1.80 % SZS status Unsatisfiable
% 1.52/1.80 % SZS output start Refutation
% 1.52/1.80
% 1.52/1.80 % Proof 1 at 0.83 (+ 0.01) seconds: prove_these_axioms.
% 1.52/1.80 % Length of proof is 276.
% 1.52/1.80 % Level of proof is 39.
% 1.52/1.80 % Maximum clause weight is 185.000.
% 1.52/1.80 % Given clauses 32.
% 1.52/1.80
% 1.52/1.80 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].
% 1.52/1.80 2 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) | multiply(multiply(inverse(b2),b2),a2) != a2 | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # label(prove_these_axioms) # label(negated_conjecture) # answer(prove_these_axioms). [assumption].
% 1.52/1.80 3 multiply(inverse(b1),b1) != multiply(inverse(a1),a1) | multiply(multiply(inverse(b2),b2),a2) != a2 | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # answer(prove_these_axioms). [copy(2),flip(a)].
% 1.52/1.80 4 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))].
% 1.52/1.80 5 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))].
% 1.52/1.80 9 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),4(a,1,1,1,1,1,1,2,2)),rewrite([1(41),1(52)])].
% 1.52/1.80 11 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),4(a,1,1,2,1,1,1,2,2))].
% 1.52/1.80 16 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(A),A))))) = C. [para(5(a,1),1(a,1))].
% 1.52/1.80 19 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))))) = C. [para(5(a,2),1(a,1,1))].
% 1.52/1.80 37 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(5(a,1),5(a,2,2,1,1,1,2,2))].
% 1.52/1.80 41 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(16(a,1),1(a,1,1,2,1,1,1,2))].
% 1.52/1.80 50 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(5(a,1),16(a,1,2,1,1,1,2,2,1)),rewrite([1(15)])].
% 1.52/1.80 65 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(16(a,1),19(a,1,1,1,2,1,1,1,2))].
% 1.52/1.80 68 multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),inverse(multiply(inverse(B),B))) = C. [para(41(a,1),1(a,1))].
% 1.52/1.80 106 multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(B),B)))))))) = C. [para(41(a,2),5(a,2,2,1)),rewrite([1(13)]),flip(a)].
% 1.52/1.80 114 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(41(a,1),16(a,1,2,1,1,1,2,2,1))].
% 1.52/1.80 119 inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,C)))))),inverse(multiply(inverse(B),B)))) = C. [para(41(a,1),19(a,1,1))].
% 1.52/1.80 122 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(19(a,1),41(a,2,2,1,1))].
% 1.52/1.80 133 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(41(a,2),41(a,2))].
% 1.52/1.80 170 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(68(a,1),1(a,1,1,2,1,1,1,2))].
% 1.52/1.80 184 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(5(a,1),68(a,1,1,1,2,2,1,1,2))].
% 1.52/1.80 185 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(5(a,1),68(a,1,1,1,2,2,1)),rewrite([1(15)])].
% 1.52/1.80 189 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(19(a,1),68(a,1,1,1,2,2,1,1,2)),flip(a)].
% 1.52/1.80 191 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(68(a,1),41(a,1,1,2,1,1,1,1,1)),flip(a)].
% 1.52/1.80 195 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(41(a,1),68(a,1,1,1,2,2,1,1,2))].
% 1.52/1.80 196 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(41(a,1),68(a,1,1,1,2,2,1))].
% 1.52/1.80 197 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(41(a,1),68(a,1,2,1,1))].
% 1.52/1.80 207 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(68(a,1),68(a,1,1,1,2,2,1,1)),rewrite([191(38)])].
% 1.52/1.80 209 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(114),rewrite([196(21)])].
% 1.52/1.80 212 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),106(a,1,2,1,1,2,1,1)),flip(a)].
% 1.52/1.80 216 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(106(a,1),4(a,1,1,2,1,1,1,2))].
% 1.52/1.80 223 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(5(a,1),106(a,1,2,1,1,2,1,1)),flip(a)].
% 1.52/1.80 290 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(5(a,1),119(a,1,1,1,1,2,2,1)),rewrite([1(15)])].
% 1.52/1.80 296 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(19(a,1),119(a,1,1,2,1,1))].
% 1.52/1.80 313 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(119(a,1),68(a,1,1,1,2,2,1))].
% 1.52/1.80 317 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(119(a,1),106(a,1,2,1,1,2,1,1))].
% 1.52/1.80 324 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),185(a,1,1,1,1)),flip(a)].
% 1.52/1.80 329 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(5(a,1),185(a,1,1,1,1)),flip(a)].
% 1.52/1.80 361 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(119(a,1),185(a,1,1,1,1)),flip(a)].
% 1.52/1.80 367 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(9(a,1),5(a,2,2,1,1,1,2,2))].
% 1.52/1.80 396 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(9(a,1),106(a,1,2,1,1,2,1,1)),flip(a)].
% 1.52/1.80 428 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(367),rewrite([396(53)])].
% 1.52/1.80 431 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(207(a,1),1(a,1,1,2,1,1,1,1))].
% 1.52/1.80 468 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(207(a,1),106(a,1,2,1,1,2,1,1,1,1))].
% 1.52/1.80 477 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(185(a,1),207(a,1,1,2,1)),rewrite([212(25)])].
% 1.52/1.80 553 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(209(a,1),185(a,1,1,1,1,1)),flip(a)].
% 1.52/1.80 557 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(207(a,1),209(a,1,2,1,1,1,1))].
% 1.52/1.80 558 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(207(a,1),209(a,1,2,1,1)),flip(a)].
% 1.52/1.80 637 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(133(a,1),19(a,1,1,1,2,1,2,1,1))].
% 1.52/1.80 638 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(19(a,1),133(a,1,1,2,1,2,1,1))].
% 1.52/1.80 640 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(133(a,1),41(a,2,2,1,1))].
% 1.52/1.80 653 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(119(a,1),133(a,1,1,2,1,1,1,1))].
% 1.52/1.80 662 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(133(a,1),207(a,1,1,2,1,2,1,2,1,1))].
% 1.52/1.80 664 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(207(a,1),133(a,1,1,2,1,1,1,1))].
% 1.52/1.80 671 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(477(a,1),133(a,1,1,2,1,2,1,1))].
% 1.52/1.80 680 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(170(a,1),5(a,1,1,2,1,1,1,1))].
% 1.52/1.80 684 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(170(a,1),5(a,2,2,1,2,1,1))].
% 1.52/1.80 696 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(170(a,1),41(a,1,1,2,1,1,1,1))].
% 1.52/1.80 698 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(170(a,1),41(a,1,1,2,1,2,1,1))].
% 1.52/1.80 708 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(41(a,2),170(a,1,1,2,1,1,1,1,1,1,1,2,2,1,1))].
% 1.52/1.80 722 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(119(a,1),170(a,1,1,2,1,1,1,1,1,1,1,2,2,1,1,2))].
% 1.52/1.80 773 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(41(a,2),50(a,1,2,1,1,1,2))].
% 1.52/1.80 799 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(133(a,1),50(a,1,2,1,2,1,1))].
% 1.52/1.80 844 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(65(a,2),106(a,1,2,1,1,2,1,2,1,1))].
% 1.52/1.80 850 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(119(a,1),65(a,1,1,1,2,1,1)),rewrite([212(41)])].
% 1.52/1.80 869 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(65(a,2),207(a,2,1)),rewrite([207(85)]),flip(a)].
% 1.52/1.80 870 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(207(a,1),65(a,1,1,1,2,1,1,1,1)),rewrite([212(75)])].
% 1.52/1.80 895 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(290(a,1),65(a,1,1,1,2,1,2,1,1))].
% 1.52/1.80 902 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(65(a,1),170(a,1,1,2,1,1,1,1,1,1,1,2,2,1,1,2))].
% 1.52/1.80 922 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(468),rewrite([870(57)])].
% 1.52/1.80 931 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,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(5(a,1),11(a,2,2,1,1,1,1)),rewrite([396(94)])].
% 1.52/1.80 932 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(5(a,1),11(a,2,2,1,1,1,2,2))].
% 1.52/1.80 938 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(11(a,1),16(a,1,2,1,1,1,1))].
% 1.52/1.80 964 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(41(a,2),11(a,2,2,1,1,1,2))].
% 1.52/1.80 969 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(68(a,1),11(a,2,2,1,1,1,2))].
% 1.52/1.80 975 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(119(a,1),11(a,1,1,1,1,1,1,1)),rewrite([119(42),119(66)])].
% 1.52/1.80 991 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(185(a,1),11(a,2,2,1,1,1,1,1))].
% 1.52/1.80 995 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(207(a,1),11(a,2,2,1,1,1,1))].
% 1.52/1.80 1013 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(11(a,2),290(a,1,1,1,1,2))].
% 1.52/1.80 1060 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(922(a,1),5(a,1,1,2,1,1,1,2))].
% 1.52/1.80 1066 multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),B)) = multiply(inverse(multiply(C,A)),multiply(C,B)). [para(5(a,1),922(a,1,2,2,1)),rewrite([1(17)])].
% 1.52/1.80 1086 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(207(a,1),922(a,1,2,2,1,1,2,1,1)),flip(a)].
% 1.52/1.80 1087 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(207(a,1),922(a,1,2,2,1))].
% 1.52/1.80 1112 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(1087)].
% 1.52/1.80 1113 multiply(inverse(A),A) = c_0. [back_rewrite(1087),rewrite([1112(18)]),flip(a)].
% 1.52/1.80 1138 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(1086),rewrite([1113(2),1113(4),1113(6),1113(9),1113(10),1113(11),1113(14),1113(15)]),flip(a)].
% 1.52/1.80 1156 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(c_0),multiply(inverse(B),C)). [back_rewrite(1066),rewrite([1113(2)]),flip(a)].
% 1.52/1.80 1162 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(1060),rewrite([1113(2),1113(8),1113(18),1156(27),1113(31)])].
% 1.52/1.80 1206 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(1013),rewrite([1156(7),1113(11),1156(21),1113(25),1156(33),1113(37),1113(40),1113(26),1156(35),1113(39),1156(43),1113(47)])].
% 1.52/1.80 1222 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(995),rewrite([1156(5),1113(9),1156(19),1113(23),1156(31),1113(35),1113(38),1113(22),1113(24),1113(27),1113(28),1113(28),1113(29),1113(35),1113(37),1113(40),1113(41),1113(42),1113(44),1113(47),1113(48),1113(47)])].
% 1.52/1.80 1225 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(991),rewrite([1156(5),1113(9),1156(19),1113(23),1156(31),1113(35),1113(38),1222(20),1113(20),1156(24),1113(28),1156(34),1156(39),1113(31),1113(34),1113(35)])].
% 1.52/1.80 1235 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(975),rewrite([1156(7),1113(15),1113(18),1113(19),1113(19),1156(29),1113(37),1113(40),1113(41),1156(47),1113(55),1113(58),1113(59),1113(58),1156(33),1113(37)])].
% 1.52/1.80 1241 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(969),rewrite([1156(5),1113(9),1113(13),1156(20),1113(24),1156(32),1113(36),1113(39),1222(21),1225(19),1113(10),1113(6),1156(17),1113(25)]),flip(a)].
% 1.52/1.80 1244 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(964),rewrite([1156(5),1113(9),1113(13),1156(20),1113(24),1156(32),1113(36),1113(39),1222(21),1225(19),1113(10),1113(6),1156(15),1113(25),1113(33)]),flip(a)].
% 1.52/1.80 1270 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(938),rewrite([1156(8),1113(12),1156(20),1113(24),1113(27),1156(12),1113(16),1156(24),1113(28),1156(43),1113(47),1156(55),1113(59),1113(62),1156(51),1113(55),1156(63),1113(67),1113(70),1113(51)])].
% 1.52/1.80 1276 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(932),rewrite([1156(5),1113(9),1156(15),1113(19),1156(30),1113(34),1156(42),1113(46),1113(49),1222(31),1225(29),1156(34),1113(38),1156(43),1113(47)])].
% 1.52/1.80 1277 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(931),rewrite([1156(5),1113(9),1156(19),1113(23),1156(31),1113(35),1113(38),1222(20),1225(18),1156(20),1113(24),1156(30),1113(34),1113(36),1113(39),1113(40),1156(43)])].
% 1.52/1.80 1286 multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(inverse(B),inverse(c_0)))))))) = B. [back_rewrite(922),rewrite([1113(2),1113(6)])].
% 1.52/1.80 1306 inverse(multiply(inverse(c_0),inverse(multiply(inverse(c_0),inverse(c_0))))) = c_0. [back_rewrite(902),rewrite([1156(8),1113(12),1156(19),1286(20),1113(16),1113(24),1244(27),1113(12)])].
% 1.52/1.80 1313 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(895),rewrite([1156(4),1113(8),1156(13),1113(17),1156(26),1113(30),1156(36),1113(40),1113(42),1156(35),1113(39)])].
% 1.52/1.80 1334 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(869),rewrite([1113(6),1156(17),1113(21),1156(29),1113(33),1156(41),1113(45),1113(47)])].
% 1.52/1.80 1343 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(850),rewrite([1113(14),1113(13),1113(16),1113(17)])].
% 1.52/1.80 1349 multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(B))))),inverse(c_0)))) = B. [back_rewrite(844),rewrite([1156(6),1113(10),1156(17),1113(21),1113(32),1156(43),1113(47),1334(49),1313(33)])].
% 1.52/1.80 1390 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(799),rewrite([1113(6),1113(15),1156(22),1113(30),1113(40),1156(52),1113(56)])].
% 1.52/1.80 1412 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(773),rewrite([1156(6),1113(16),1113(24),1244(27),1113(13),1156(15),1113(19)]),flip(a)].
% 1.52/1.80 1449 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(722),rewrite([1156(7),1156(18),1113(22),1113(27),1113(33)])].
% 1.52/1.80 1459 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(708),rewrite([1156(6),1113(16),1156(24),1113(30),1113(33),1156(43),1156(52),1113(55)])].
% 1.52/1.80 1469 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(698),rewrite([1156(8),1113(16),1241(19),1156(17),1113(25),1241(28),1113(24),1156(31),1113(39),1241(42),1156(44),1113(48)])].
% 1.52/1.80 1470 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(696),rewrite([1156(8),1113(16),1113(20),1156(29),1113(37),1156(48),1113(56),1113(59),1156(33),1113(37)])].
% 1.52/1.80 1481 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(684),rewrite([1156(4),1113(8),1156(20),1113(28),1241(31),1156(29),1113(37),1241(40),1156(35),1306(33),1113(30),1156(37),1113(45),1241(48)])].
% 1.52/1.80 1485 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(680),rewrite([1156(8),1113(16),1113(20),1156(30),1113(38),1156(49),1113(57),1113(60),1470(28),1156(17),1113(21)])].
% 1.52/1.80 1494 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(671),rewrite([1113(2),1113(5),1113(6),1138(13),1113(11),1113(14),1113(15),1138(22),1113(24),1113(25),1113(28),1113(29),1138(36),1469(38),1113(17)]),flip(a)].
% 1.52/1.80 1497 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(664),rewrite([1113(2),1113(4),1113(7),1113(8),1113(8),1113(11),1113(13),1113(16),1113(17),1113(18),1113(20),1113(23),1113(24),1113(23),1113(17),1113(23),1494(27)])].
% 1.52/1.80 1498 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(662),rewrite([1113(6),1494(10),1113(17),1113(24),1113(30),1494(34),1113(41),1113(53),1494(57),1113(64),1113(70),1113(36),1494(40),1113(47)])].
% 1.52/1.80 1503 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(653),rewrite([1113(2),1113(6),1113(9),1113(10),1156(17),1113(25),1494(29)]),flip(a)].
% 1.52/1.80 1511 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(640),rewrite([1113(6),1113(15),1494(19),1494(12),1113(27),1156(36),1494(33),1113(45),1494(49),1113(56)]),flip(a)].
% 1.52/1.80 1512 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(638),rewrite([1156(4),1113(8),1156(16),1113(20),1156(32),1113(36),1113(52),1494(56)])].
% 1.52/1.80 1513 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(637),rewrite([1113(6),1113(15),1156(22),1494(21),1113(31),1494(35),1113(42)])].
% 1.52/1.80 1552 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(558),rewrite([1113(5),1113(7),1113(10),1113(11),1113(13),1113(18),1113(19)])].
% 1.52/1.80 1553 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(557),rewrite([1113(2),1113(4),1113(7),1113(8),1113(8),1113(11),1113(13),1113(16),1113(17),1113(18),1113(20),1113(23),1113(24),1113(23),1113(16),1113(22)])].
% 1.52/1.80 1557 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(553),rewrite([1113(6),1156(12),1113(20),1113(29),1113(32),1113(23),1494(27),1113(37),1113(46),1113(49)]),flip(a)].
% 1.52/1.80 1608 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(431),rewrite([1113(2),1113(4),1113(7),1113(8),1113(8),1113(9),1113(15),1113(17),1113(20),1113(21),1113(22),1113(24),1113(27),1113(28),1113(27),1225(18),1277(16)])].
% 1.52/1.80 1609 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(428),rewrite([1156(6),1113(10),1156(16),1113(20),1113(22),1113(25),1113(26),1156(29),1156(20),1113(24),1156(32),1113(36)])].
% 1.52/1.80 1636 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(361),rewrite([1113(2),1156(6),1113(10),1113(13),1113(14),1156(18),1113(25),1113(28),1113(29)]),flip(a)].
% 1.52/1.80 1647 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(329),rewrite([1156(4),1113(8),1156(14),1156(20),1113(24),1156(31),1113(35),1113(38),1156(24),1113(28),1156(38),1113(42),1156(49),1113(53),1113(56)]),flip(a)].
% 1.52/1.80 1649 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(324),rewrite([1156(5),1113(9),1156(15),1156(22),1113(26),1156(34),1113(38),1113(41),1156(28),1113(32),1156(40),1113(44),1113(47)])].
% 1.52/1.80 1652 multiply(inverse(c_0),multiply(inverse(A),inverse(inverse(multiply(A,inverse(c_0)))))) = inverse(c_0). [back_rewrite(317),rewrite([1113(16),1343(13),1156(9),1113(12)])].
% 1.52/1.80 1655 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(313),rewrite([1156(7),1156(14),1156(23),1156(33),1113(36),1113(21)])].
% 1.52/1.80 1662 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(296),rewrite([1156(4),1113(8),1156(18),1113(22),1156(31),1156(37),1113(41)])].
% 1.52/1.80 1692 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(223),rewrite([1156(6),1113(14),1156(17),1113(21),1113(26)]),flip(a)].
% 1.52/1.80 1695 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(216),rewrite([1156(5),1113(9),1156(18),1113(22),1156(30),1113(34),1113(37),1113(25),1494(29)])].
% 1.52/1.80 1698 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(212),rewrite([1156(7),1113(15),1113(15)])].
% 1.52/1.80 1704 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(197),rewrite([1113(6),1113(17),1156(26),1494(12),1156(35),1113(39),1113(46),1511(52)])].
% 1.52/1.80 1705 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(195),rewrite([1156(8),1113(12),1156(18),1113(22),1113(29)])].
% 1.52/1.80 1707 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(189),rewrite([1156(4),1113(8),1156(19),1113(23)])].
% 1.52/1.80 1708 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(184),rewrite([1156(7),1113(11),1156(19),1113(23),1156(28),1113(32)])].
% 1.52/1.80 1722 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(122),rewrite([1156(4),1113(8),1113(18),1494(22),1156(27),1113(31),1156(41),1156(47),1113(51)]),flip(a)].
% 1.52/1.80 1733 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(37),rewrite([1156(6),1113(10),1156(15),1113(19),1156(30),1113(34),1156(39),1113(43)])].
% 1.52/1.80 1737 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),B))),inverse(c_0)))))) = B. [back_rewrite(19),rewrite([1156(4),1113(8)])].
% 1.52/1.80 1741 multiply(c_0,a2) != a2 | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # answer(prove_these_axioms). [back_rewrite(3),rewrite([1113(4),1113(5),1113(7)]),xx(a)].
% 1.52/1.80 1742 inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(c_0),multiply(inverse(A),inverse(B)))),inverse(c_0))))) = B. [back_rewrite(1),rewrite([1156(5),1113(9)])].
% 1.52/1.80 1764 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(1206),rewrite([1695(22)])].
% 1.52/1.80 1769 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(1276),rewrite([1277(27)])].
% 1.52/1.80 1779 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(1390),rewrite([1494(21),1494(35)])].
% 1.52/1.80 1785 multiply(inverse(c_0),inverse(c_0)) = c_0. [back_rewrite(1459),rewrite([1494(21),1652(26),1494(14),1113(10),1113(4)])].
% 1.52/1.80 1787 inverse(c_0) = c_0. [back_rewrite(1449),rewrite([1764(29),1655(22),1412(13),1785(7),1785(5)])].
% 1.52/1.80 1862 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(1162),rewrite([1787(2),1787(7),1787(12),1787(16),1787(27)])].
% 1.52/1.80 1898 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(1235),rewrite([1787(2),1787(14),1787(17),1787(21),1787(26),1787(32)])].
% 1.52/1.80 1914 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(1270),rewrite([1787(5),1787(8),1787(14),1787(18),1787(24),1787(32)])].
% 1.52/1.80 1980 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(1662),rewrite([1787(2),1787(3),1787(8),1787(14),1787(19),1787(30),1787(35)])].
% 1.52/1.80 1988 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(1722),rewrite([1787(2),1787(3),1787(8),1787(19),1787(24),1787(32),1787(33),1787(38),1787(49)])].
% 1.52/1.80 2045 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(1779),rewrite([1787(6),1787(10),1787(11),1787(18),1787(23),1787(30),1787(36),1787(45),1787(50)])].
% 1.52/1.80 2048 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(1513),rewrite([1787(6),1787(10),1787(11),1787(18),1787(23),1787(30),1787(36)])].
% 1.52/1.80 2068 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(1553),rewrite([1787(2),1787(3),1787(9),1787(13),1787(18)])].
% 1.52/1.80 2069 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(1552),rewrite([1787(5),1787(6),1787(11),1787(16)])].
% 1.52/1.80 2070 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(1498),rewrite([1787(2),1787(9),1787(15),1787(21),1787(22),1787(27),1787(34),1787(40)])].
% 1.52/1.80 2071 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(1497),rewrite([1787(2),1787(3),1787(9),1787(14),1787(15),1787(15),1787(21)])].
% 1.52/1.80 2074 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(1481),rewrite([1787(2),1787(7),1787(12),1787(13),1787(14),1787(18),1787(25),1787(26),1787(27)])].
% 1.52/1.80 2083 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(1412),rewrite([1787(2),1787(4),1787(8),1787(12),1787(13),1787(14)])].
% 1.52/1.80 2089 multiply(c_0,c_0) = c_0. [back_rewrite(1785),rewrite([1787(2),1787(3)])].
% 1.52/1.80 2102 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(1769),rewrite([1787(2),1787(3),1787(3),1787(4),1787(5),1787(10),1787(14),1787(22),1787(24),1787(30),1787(37)])].
% 1.52/1.80 2119 inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(B)))),c_0)))) = B. [back_rewrite(1742),rewrite([1787(2),1787(8)])].
% 1.52/1.80 2122 inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),B))),c_0))))) = B. [back_rewrite(1737),rewrite([1787(2),1787(7)])].
% 1.52/1.80 2125 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(1733),rewrite([1787(2),1787(4),1787(9),1787(16),1787(21),1787(23),1787(29),1787(36)])].
% 1.52/1.80 2133 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(1708),rewrite([1787(2),1787(4),1787(10),1787(20),1787(22),1787(27)])].
% 1.52/1.80 2134 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(1707),rewrite([1787(2),1787(7),1787(12),1787(20)])].
% 1.52/1.80 2135 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(1705),rewrite([1787(2),1787(4),1787(11),1787(19),1787(25)])].
% 1.52/1.80 2136 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(1704),rewrite([1787(2),1787(3),1787(10),1787(16),1787(27)])].
% 1.52/1.80 2139 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(1698),rewrite([1787(2),1787(10),1787(13)])].
% 1.52/1.80 2141 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(1695),rewrite([1787(2),1787(8),1787(13),1787(18),1787(25)])].
% 1.52/1.80 2143 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(1692),rewrite([1787(2),1787(8),1787(12),1787(19),1787(26)])].
% 1.52/1.81 2160 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(1649),rewrite([1787(2),1787(3),1787(9),1787(16),1787(21)])].
% 1.52/1.81 2161 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(1647),rewrite([1787(2),1787(8),1787(15),1787(17),1787(18),1787(23),1787(30)])].
% 1.52/1.81 2166 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(1636),rewrite([1787(2),1787(13),1787(15),1787(16),1787(16),1787(20)])].
% 1.52/1.81 2179 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(1609),rewrite([1787(2),1787(4),1787(5),1787(5),1787(6),1787(7),1787(18),1787(23),1787(28)])].
% 1.52/1.81 2180 inverse(multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0)))))))) = A. [back_rewrite(1608),rewrite([1787(2),1787(3),1787(3),1787(4),1787(5)])].
% 1.52/1.81 2196 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(1557),rewrite([1787(2),1787(9),1787(14),1787(16),1787(21),1787(28)])].
% 1.52/1.81 2205 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(1512),rewrite([1787(2),1787(7),1787(12),1787(17),1787(26),1787(31),1787(42),1787(49)])].
% 1.52/1.81 2210 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(1503),rewrite([1787(2),1787(3),1787(17),1787(19),1787(22)])].
% 1.52/1.81 2216 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(1485),rewrite([1787(2),1787(10),1787(12),1787(18)])].
% 1.52/1.81 2228 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),inverse(inverse(B))))),c_0))) = B. [back_rewrite(1349),rewrite([1787(2),1787(9)])].
% 1.52/1.81 2231 multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,inverse(multiply(inverse(B),c_0))))))) = B. [back_rewrite(1286),rewrite([1787(2),1787(5)])].
% 1.52/1.81 2238 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(1277),rewrite([1787(2),1787(3),1787(4),1787(4),1787(9),1787(13),1787(14),1787(14),1787(15),1787(16)])].
% 1.52/1.81 2251 multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(c_0,multiply(inverse(B),C)). [back_rewrite(1156),rewrite([1787(6)])].
% 1.52/1.81 2259 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(1898),rewrite([2166(14)])].
% 1.52/1.81 2271 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(inverse(A),c_0))))))) = A. [back_rewrite(1914),rewrite([2161(32),2160(23),2139(22),2251(19),1787(3)])].
% 1.52/1.81 2272 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(1980),rewrite([2122(12)])].
% 1.52/1.81 2297 multiply(A,inverse(multiply(inverse(multiply(c_0,multiply(inverse(A),c_0))),c_0))) = c_0. [back_rewrite(2083),rewrite([2089(14),1787(13),2089(13)])].
% 1.52/1.81 2300 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(2074),rewrite([2089(14),1787(13),2089(13),2089(22),1787(21),2089(21),2089(20),1787(19),2238(21)])].
% 1.52/1.81 2302 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(2071),rewrite([2089(3),1787(2)])].
% 1.52/1.81 2303 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(2070),rewrite([2089(22),1787(21),2196(21),1113(17),2089(3),1787(2),2089(3),1787(2)]),flip(a)].
% 1.52/1.81 2304 multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),c_0)),c_0))) = multiply(B,c_0). [back_rewrite(2069),rewrite([2089(6),1787(5),2089(13),1787(12)])].
% 1.52/1.81 2305 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(2068),rewrite([2089(3),1787(2)]),flip(a)].
% 1.52/1.81 2313 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(2048),rewrite([2303(39),1787(23)])].
% 1.52/1.81 2316 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(2045),rewrite([2303(39),1787(23)])].
% 1.52/1.81 2352 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(1988),rewrite([2122(12),2122(31)])].
% 1.52/1.81 2368 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(1862),rewrite([2305(9),2302(9)]),flip(a)].
% 1.52/1.81 2375 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(2272),rewrite([2352(30)])].
% 1.52/1.81 2392 multiply(A,multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,inverse(multiply(A,c_0)))))))) = c_0. [para(2180(a,1),1113(a,1,1))].
% 1.52/1.81 2396 multiply(inverse(multiply(c_0,A)),c_0) = multiply(c_0,multiply(inverse(A),c_0)). [para(2089(a,1),2251(a,1,2))].
% 1.52/1.81 2397 multiply(inverse(multiply(inverse(A),B)),c_0) = multiply(c_0,multiply(inverse(B),A)). [para(1113(a,1),2251(a,1,2))].
% 1.52/1.81 2401 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(2297(a,1),2251(a,1,2)),rewrite([2396(14),2397(13),1787(10)]),flip(a)].
% 1.52/1.81 2422 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(2375),rewrite([2396(8),2397(7),2396(18)])].
% 1.52/1.81 2427 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(2368),rewrite([2396(17),2397(16),2396(27),2396(26)])].
% 1.52/1.81 2473 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(2316),rewrite([2397(6),2396(17),2397(16),2396(21),2396(30),2397(29)])].
% 1.52/1.81 2476 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(2313),rewrite([2397(6),2396(17),2397(16),2396(21)])].
% 1.52/1.81 2485 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(2302),rewrite([2396(6),2396(18),2396(17)])].
% 1.52/1.81 2486 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(2300),rewrite([2396(7),2397(6)])].
% 1.52/1.81 2499 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(2259),rewrite([2396(8),2396(7),2396(26),2397(25)])].
% 1.52/1.81 2512 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(2238),rewrite([2396(9),2396(8)])].
% 1.52/1.81 2520 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(B))),A))))) = B. [back_rewrite(2228),rewrite([2396(9),2397(8)])].
% 1.52/1.81 2531 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(2216),rewrite([2396(10),2397(9),2396(17),2397(16)])].
% 1.52/1.81 2533 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(2210),rewrite([2396(17),2397(16)])].
% 1.52/1.81 2536 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(2205),rewrite([2396(7),2397(6),2396(16),2397(15),2396(29),2397(28),2396(46),2397(45)])].
% 1.52/1.81 2543 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(2196),rewrite([2396(9),2397(8),2397(20),2396(26),2397(25)])].
% 1.52/1.81 2551 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(2179),rewrite([2396(18),2397(17),2180(14),2396(15),2397(14)])].
% 1.52/1.81 2574 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(2143),rewrite([2396(8),2397(7),2396(25),2397(24)])].
% 1.52/1.81 2575 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(2141),rewrite([2396(8),2397(7),2396(24),2397(23)])].
% 1.52/1.81 2578 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(2136),rewrite([2396(10),2397(9),2397(15),2396(25)])].
% 1.52/1.81 2579 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(2135),rewrite([2396(11),2397(10),2396(18),2397(17),2397(23)])].
% 1.52/1.81 2580 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(2134),rewrite([2396(7),2397(6),2396(19),2397(18)])].
% 1.52/1.81 2581 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(2133),rewrite([2396(10),2397(9),2396(19),2397(18),2396(25),2397(24)])].
% 1.52/1.81 2589 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(2125),rewrite([2396(9),2397(8),2396(15),2397(14),2396(27),2397(26),2396(33),2397(32)])].
% 1.52/1.81 2594 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(inverse(B)),A)))))) = B. [back_rewrite(2119),rewrite([2396(8),2397(7)])].
% 1.52/1.81 2606 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(2102),rewrite([2396(10),2397(9),2396(29),2397(28),2396(35),2397(34),2594(31)])].
% 1.52/1.81 2618 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(inverse(B),A))))) = multiply(B,c_0). [back_rewrite(2304),rewrite([2397(5),2396(7),2397(6)])].
% 1.52/1.81 2626 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(c_0,A)))),c_0))) = multiply(inverse(A),c_0). [back_rewrite(2499),rewrite([2575(18),2618(20)])].
% 1.52/1.81 2636 inverse(multiply(multiply(A,c_0),c_0)) = multiply(multiply(inverse(A),c_0),c_0). [back_rewrite(2589),rewrite([2618(10),2618(10),2618(16),2618(16)])].
% 1.52/1.81 2645 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(2606),rewrite([2618(11),2636(8)])].
% 1.52/1.81 2653 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,multiply(inverse(B),c_0))))),A))) = multiply(B,c_0). [back_rewrite(2581),rewrite([2618(11),2618(20)])].
% 1.52/1.81 2654 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A))) = inverse(multiply(B,c_0)). [back_rewrite(2580),rewrite([2618(8)]),flip(a)].
% 1.52/1.81 2655 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(2574),rewrite([2618(9),2636(6)]),flip(a)].
% 1.52/1.81 2660 inverse(multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A)))))) = multiply(B,c_0). [back_rewrite(2551),rewrite([2618(16)])].
% 1.52/1.81 2666 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(2536),rewrite([2618(8),2618(11),2618(18)])].
% 1.52/1.81 2667 inverse(multiply(A,c_0)) = multiply(inverse(A),c_0). [back_rewrite(2531),rewrite([2654(9),2618(12)])].
% 1.52/1.81 2673 multiply(inverse(inverse(A)),c_0) = A. [back_rewrite(2520),rewrite([2618(10)])].
% 1.52/1.81 2675 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(2512),rewrite([2673(7),2667(13)]),flip(a)].
% 1.52/1.81 2688 multiply(c_0,inverse(multiply(c_0,multiply(c_0,A)))) = multiply(inverse(A),c_0). [back_rewrite(2486),rewrite([2618(8),2667(3),2667(9),2675(14)]),flip(a)].
% 1.52/1.81 2690 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(2473),rewrite([2618(31)])].
% 1.52/1.81 2702 multiply(c_0,multiply(inverse(inverse(inverse(multiply(A,B)))),A)) = multiply(c_0,multiply(c_0,inverse(B))). [back_rewrite(2427),rewrite([2667(7),2673(7),2618(14),2397(8),2673(14)])].
% 1.52/1.81 2705 inverse(multiply(c_0,multiply(inverse(multiply(A,inverse(inverse(multiply(multiply(inverse(A),c_0),B))))),c_0))) = B. [back_rewrite(2422),rewrite([2618(9),2667(4)])].
% 1.52/1.81 2716 multiply(A,multiply(inverse(A),c_0)) = c_0. [back_rewrite(2392),rewrite([2667(6),2675(11),2688(7)])].
% 1.52/1.81 2717 multiply(c_0,multiply(c_0,inverse(inverse(multiply(c_0,A))))) = A. [back_rewrite(2271),rewrite([2667(7),2673(7)])].
% 1.52/1.81 2718 multiply(c_0,multiply(inverse(A),inverse(inverse(multiply(A,B))))) = B. [back_rewrite(2231),rewrite([2667(6),2673(6)])].
% 1.52/1.81 2734 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),inverse(B)))) = inverse(multiply(c_0,multiply(B,A))). [back_rewrite(2533),rewrite([2718(12),2667(15),2673(15)])].
% 1.52/1.81 2746 multiply(c_0,multiply(c_0,multiply(c_0,A))) = multiply(A,c_0). [back_rewrite(2653),rewrite([2702(11),2667(7),2673(7)])].
% 1.52/1.81 2748 multiply(c_0,multiply(c_0,inverse(multiply(c_0,A)))) = multiply(inverse(A),c_0). [back_rewrite(2626),rewrite([2673(9)])].
% 1.52/1.81 2749 multiply(A,inverse(multiply(c_0,multiply(inverse(B),multiply(C,A))))) = multiply(multiply(inverse(C),inverse(inverse(B))),c_0). [back_rewrite(2579),rewrite([2702(16),2688(13),2397(9),2746(10)]),flip(a)].
% 1.52/1.81 2751 multiply(c_0,multiply(c_0,multiply(inverse(inverse(inverse(A))),B))) = multiply(c_0,multiply(inverse(inverse(inverse(A))),B)). [back_rewrite(2666),rewrite([2667(3),2667(6),2667(13),2716(14),1787(12),2397(12),2749(13),2667(7),2397(7)]),flip(a)].
% 1.52/1.81 2760 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(2655),rewrite([2673(13)])].
% 1.52/1.81 2761 inverse(multiply(c_0,inverse(multiply(c_0,multiply(inverse(A),c_0))))) = multiply(c_0,multiply(c_0,inverse(A))). [back_rewrite(2485),rewrite([2673(16)])].
% 1.52/1.81 2762 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(2476),rewrite([2749(7),2751(15)])].
% 1.52/1.81 2769 multiply(A,inverse(multiply(c_0,multiply(c_0,multiply(B,A))))) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(2645),rewrite([2717(13)]),flip(a)].
% 1.52/1.81 2785 multiply(c_0,multiply(inverse(A),multiply(inverse(B),c_0))) = multiply(inverse(multiply(B,A)),c_0). [back_rewrite(2401),rewrite([2746(8),2667(5)])].
% 1.52/1.81 2790 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(2690),rewrite([2749(7),2751(15)])].
% 1.52/1.81 2794 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(2578),rewrite([2751(9),2749(14)])].
% 1.52/1.81 2800 inverse(multiply(c_0,multiply(A,B))) = multiply(c_0,multiply(inverse(inverse(inverse(B))),inverse(A))). [back_rewrite(2734),rewrite([2751(9)]),flip(a)].
% 1.52/1.81 2808 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(2543),rewrite([2751(8),2800(20)]),flip(a)].
% 1.52/1.81 2812 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(2762),rewrite([2800(19),1787(9),1787(9),1787(9)])].
% 1.52/1.81 2813 inverse(multiply(A,multiply(c_0,inverse(multiply(B,A))))) = multiply(B,c_0). [back_rewrite(2660),rewrite([2800(6),1787(7),2673(7)])].
% 1.52/1.81 2820 multiply(c_0,multiply(c_0,inverse(A))) = inverse(A). [back_rewrite(2761),rewrite([2800(7),1787(4),1787(4),1787(4),2746(8),2673(4)]),flip(a)].
% 1.52/1.81 2828 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(2790),rewrite([2800(19),1787(9),1787(9),1787(9),2820(19)])].
% 1.52/1.81 2839 multiply(A,multiply(c_0,inverse(multiply(B,A)))) = multiply(multiply(inverse(B),c_0),c_0). [back_rewrite(2769),rewrite([2800(6),1787(7),2673(7)])].
% 1.52/1.81 2845 multiply(c_0,inverse(multiply(inverse(A),inverse(multiply(B,C))))) = multiply(B,inverse(inverse(multiply(C,multiply(A,c_0))))). [back_rewrite(2760),rewrite([2800(9),1787(10),2673(10)])].
% 1.52/1.81 2866 inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(inverse(A),c_0),B)))))) = B. [back_rewrite(2705),rewrite([2800(13),1787(3),1787(3),1787(3),2820(13)])].
% 1.52/1.81 2868 multiply(inverse(A),c_0) = inverse(A). [back_rewrite(2688),rewrite([2800(6),1787(7),2673(7),2820(5)]),flip(a)].
% 1.52/1.81 2879 inverse(inverse(A)) = A. [back_rewrite(2812),rewrite([2820(19),2828(16),2667(3),2868(3)])].
% 1.52/1.81 2882 inverse(multiply(c_0,A)) = inverse(A). [back_rewrite(2748),rewrite([2820(7),2868(6)])].
% 1.52/1.81 2883 multiply(c_0,multiply(c_0,A)) = A. [back_rewrite(2717),rewrite([2882(5),2879(4)])].
% 1.52/1.81 2890 multiply(A,c_0) = A. [back_rewrite(2813),rewrite([2839(5),2868(3),2868(3),2879(2)]),flip(a)].
% 1.52/1.81 2899 multiply(A,multiply(inverse(A),B)) = B. [back_rewrite(2866),rewrite([2890(3),2879(4),2879(5)])].
% 1.52/1.81 2911 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(2808),rewrite([2879(7),2879(8),2883(11),2879(10),2890(16)]),flip(a)].
% 1.52/1.81 2914 multiply(c_0,A) = A. [back_rewrite(2794),rewrite([2879(4),2879(8),2890(9),2879(11),2911(11),2879(3),2899(5),1113(4),2890(4),2890(3),2890(3)])].
% 1.52/1.81 2915 inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)). [back_rewrite(2785),rewrite([2890(5),2914(5),2890(7)]),flip(a)].
% 1.52/1.81 2937 multiply(multiply(A,B),C) = multiply(A,multiply(B,C)). [back_rewrite(2845),rewrite([2915(4),2915(7),2915(5),2879(3),2879(3),2879(4),2914(4),2890(4),2915(4),2915(6),2879(4),2879(4)])].
% 1.52/1.81 2938 $F # answer(prove_these_axioms). [back_rewrite(1741),rewrite([2914(3),2937(8)]),xx(a),xx(b)].
% 1.52/1.81
% 1.52/1.81 % SZS output end Refutation
% 1.52/1.81 ============================== end of proof ==========================
% 1.52/1.81
% 1.52/1.81 ============================== STATISTICS ============================
% 1.52/1.81
% 1.52/1.81 Given=32. Generated=5828. Kept=2936. proofs=1.
% 1.52/1.81 Usable=2. Sos=8. Demods=34. Limbo=24, Disabled=2904. Hints=0.
% 1.52/1.81 Megabytes=8.01.
% 1.52/1.81 User_CPU=0.83, System_CPU=0.01, Wall_clock=1.
% 1.52/1.81
% 1.52/1.81 ============================== end of statistics =====================
% 1.52/1.81
% 1.52/1.81 ============================== end of search =========================
% 1.52/1.81
% 1.52/1.81 THEOREM PROVED
% 1.52/1.81 % SZS status Unsatisfiable
% 1.52/1.81
% 1.52/1.81 Exiting with 1 proof.
% 1.52/1.81
% 1.52/1.81 Process 24050 exit (max_proofs) Tue Jun 14 02:26:56 2022
% 1.52/1.81 Prover9 interrupted
%------------------------------------------------------------------------------