TSTP Solution File: GRP071-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP071-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 11:17:02 EDT 2022
% Result : Unsatisfiable 1.46s 1.71s
% Output : Refutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP071-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 21:11:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.46/1.71 ============================== Prover9 ===============================
% 1.46/1.71 Prover9 (32) version 2009-11A, November 2009.
% 1.46/1.71 Process 11846 was started by sandbox2 on n008.cluster.edu,
% 1.46/1.71 Mon Jun 13 21:11:08 2022
% 1.46/1.71 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11693_n008.cluster.edu".
% 1.46/1.71 ============================== end of head ===========================
% 1.46/1.71
% 1.46/1.71 ============================== INPUT =================================
% 1.46/1.71
% 1.46/1.71 % Reading from file /tmp/Prover9_11693_n008.cluster.edu
% 1.46/1.71
% 1.46/1.71 set(prolog_style_variables).
% 1.46/1.71 set(auto2).
% 1.46/1.71 % set(auto2) -> set(auto).
% 1.46/1.71 % set(auto) -> set(auto_inference).
% 1.46/1.71 % set(auto) -> set(auto_setup).
% 1.46/1.71 % set(auto_setup) -> set(predicate_elim).
% 1.46/1.71 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.46/1.71 % set(auto) -> set(auto_limits).
% 1.46/1.71 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.46/1.71 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.46/1.71 % set(auto) -> set(auto_denials).
% 1.46/1.71 % set(auto) -> set(auto_process).
% 1.46/1.71 % set(auto2) -> assign(new_constants, 1).
% 1.46/1.71 % set(auto2) -> assign(fold_denial_max, 3).
% 1.46/1.71 % set(auto2) -> assign(max_weight, "200.000").
% 1.46/1.71 % set(auto2) -> assign(max_hours, 1).
% 1.46/1.71 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.46/1.71 % set(auto2) -> assign(max_seconds, 0).
% 1.46/1.71 % set(auto2) -> assign(max_minutes, 5).
% 1.46/1.71 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.46/1.71 % set(auto2) -> set(sort_initial_sos).
% 1.46/1.71 % set(auto2) -> assign(sos_limit, -1).
% 1.46/1.71 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.46/1.71 % set(auto2) -> assign(max_megs, 400).
% 1.46/1.71 % set(auto2) -> assign(stats, some).
% 1.46/1.71 % set(auto2) -> clear(echo_input).
% 1.46/1.71 % set(auto2) -> set(quiet).
% 1.46/1.71 % set(auto2) -> clear(print_initial_clauses).
% 1.46/1.71 % set(auto2) -> clear(print_given).
% 1.46/1.71 assign(lrs_ticks,-1).
% 1.46/1.71 assign(sos_limit,10000).
% 1.46/1.71 assign(order,kbo).
% 1.46/1.71 set(lex_order_vars).
% 1.46/1.71 clear(print_given).
% 1.46/1.71
% 1.46/1.71 % formulas(sos). % not echoed (3 formulas)
% 1.46/1.71
% 1.46/1.71 ============================== end of input ==========================
% 1.46/1.71
% 1.46/1.71 % From the command line: assign(max_seconds, 300).
% 1.46/1.71
% 1.46/1.71 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.46/1.71
% 1.46/1.71 % Formulas that are not ordinary clauses:
% 1.46/1.71
% 1.46/1.71 ============================== end of process non-clausal formulas ===
% 1.46/1.71
% 1.46/1.71 ============================== PROCESS INITIAL CLAUSES ===============
% 1.46/1.71
% 1.46/1.71 ============================== PREDICATE ELIMINATION =================
% 1.46/1.71
% 1.46/1.71 ============================== end predicate elimination =============
% 1.46/1.71
% 1.46/1.71 Auto_denials:
% 1.46/1.71 % copying label prove_these_axioms to answer in negative clause
% 1.46/1.71
% 1.46/1.71 Term ordering decisions:
% 1.46/1.71
% 1.46/1.71 % Assigning unary symbol inverse kb_weight 0 and highest precedence (11).
% 1.46/1.71 Function symbol KB weights: a1=1. a2=1. a3=1. b1=1. b2=1. b3=1. c3=1. divide=1. multiply=1. inverse=0.
% 1.46/1.71
% 1.46/1.71 ============================== end of process initial clauses ========
% 1.46/1.71
% 1.46/1.71 ============================== CLAUSES FOR SEARCH ====================
% 1.46/1.71
% 1.46/1.71 ============================== end of clauses for search =============
% 1.46/1.71
% 1.46/1.71 ============================== SEARCH ================================
% 1.46/1.71
% 1.46/1.71 % Starting search at 0.01 seconds.
% 1.46/1.71
% 1.46/1.71 ============================== PROOF =================================
% 1.46/1.71 % SZS status Unsatisfiable
% 1.46/1.71 % SZS output start Refutation
% 1.46/1.71
% 1.46/1.71 % Proof 1 at 0.72 (+ 0.01) seconds: prove_these_axioms.
% 1.46/1.71 % Length of proof is 213.
% 1.46/1.71 % Level of proof is 42.
% 1.46/1.71 % Maximum clause weight is 53.000.
% 1.46/1.71 % Given clauses 41.
% 1.46/1.71
% 1.46/1.71 1 multiply(A,B) = divide(A,inverse(B)) # label(multiply) # label(axiom). [assumption].
% 1.46/1.71 2 divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) = B # label(single_axiom) # label(axiom). [assumption].
% 1.46/1.71 3 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].
% 1.46/1.71 4 divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)) | divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 | divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) # answer(prove_these_axioms). [copy(3),rewrite([1(4),1(9),1(15),1(18),1(24),1(27),1(32),1(34)]),flip(a)].
% 1.46/1.71 5 divide(inverse(divide(A,divide(B,C))),divide(divide(divide(divide(D,E),F),inverse(divide(F,divide(C,divide(E,D))))),A)) = B. [para(2(a,1),2(a,1,1,1,2,2))].
% 1.46/1.71 6 divide(inverse(divide(A,B)),divide(divide(C,divide(D,E)),A)) = inverse(divide(C,divide(B,divide(E,D)))). [para(2(a,1),2(a,1,1,1,2))].
% 1.46/1.71 7 divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,divide(D,E)))))) = divide(E,D). [para(2(a,1),2(a,1,1,1))].
% 1.46/1.71 8 divide(inverse(divide(A,divide(B,divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C)))))))),divide(F,A)) = B. [para(2(a,1),2(a,1,2,1))].
% 1.46/1.71 9 divide(inverse(divide(A,divide(B,C))),divide(divide(divide(divide(divide(divide(D,E),F),inverse(divide(F,divide(V6,divide(E,D))))),V7),inverse(divide(V7,divide(C,V6)))),A)) = B. [para(5(a,1),2(a,1,1,1,2,2))].
% 1.46/1.71 10 divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,D))))) = divide(divide(divide(E,F),V6),inverse(divide(V6,divide(D,divide(F,E))))). [para(5(a,1),2(a,1,1,1))].
% 1.46/1.71 11 divide(inverse(divide(A,divide(B,divide(divide(divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C))))),V6),inverse(divide(V6,divide(V7,F))))))),divide(V7,A)) = B. [para(5(a,1),2(a,1,2,1))].
% 1.46/1.71 14 divide(inverse(divide(A,divide(B,C))),divide(divide(divide(D,E),inverse(divide(E,divide(C,divide(divide(divide(F,V6),V7),inverse(divide(V7,divide(D,divide(V6,F))))))))),A)) = B. [para(2(a,1),5(a,1,2,1,1,1))].
% 1.46/1.71 24 inverse(divide(A,divide(divide(B,divide(divide(C,D),A)),divide(D,C)))) = B. [para(6(a,1),2(a,1))].
% 1.46/1.71 27 inverse(divide(inverse(divide(A,divide(B,divide(C,D)))),divide(E,divide(A,divide(D,C))))) = divide(inverse(divide(F,E)),divide(B,F)). [para(2(a,1),6(a,1,2,1)),flip(a)].
% 1.46/1.71 34 inverse(divide(A,divide(B,divide(divide(divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C))))),V6),inverse(divide(V6,divide(V7,F))))))) = divide(inverse(divide(V8,B)),divide(divide(A,V7),V8)). [para(5(a,1),6(a,1,2,1,2)),flip(a)].
% 1.46/1.71 44 inverse(divide(A,divide(divide(divide(B,divide(divide(C,D),E)),divide(D,C)),divide(F,V6)))) = divide(B,divide(divide(A,divide(V6,F)),E)). [para(24(a,1),6(a,1,1)),flip(a)].
% 1.46/1.71 47 inverse(inverse(divide(A,divide(B,divide(inverse(divide(divide(C,D),B)),divide(D,C)))))) = A. [para(6(a,1),24(a,1,1))].
% 1.46/1.71 50 inverse(divide(divide(inverse(divide(divide(A,B),divide(C,D))),divide(B,A)),divide(E,divide(D,C)))) = inverse(inverse(E)). [para(2(a,1),47(a,1,1,1)),flip(a)].
% 1.46/1.71 69 inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),divide(A,divide(E,F)))),divide(D,C))))) = divide(inverse(divide(V6,B)),divide(divide(F,E),V6)). [para(7(a,1),6(a,1,2,1)),flip(a)].
% 1.46/1.71 81 divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(C,divide(D,E))))),inverse(C)) = divide(D,E). [para(7(a,1),7(a,1,2,2,1,2,2)),rewrite([7(9)]),flip(a)].
% 1.46/1.71 123 divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(C,D)))),inverse(C)) = D. [para(2(a,1),81(a,1,1,2,1,2,2)),rewrite([2(15)])].
% 1.46/1.71 133 divide(divide(divide(A,B),inverse(divide(divide(B,A),inverse(divide(C,divide(D,divide(E,F))))))),inverse(inverse(divide(V6,D)))) = divide(divide(C,divide(F,E)),V6). [para(6(a,1),81(a,1,1,2,1,2))].
% 1.46/1.71 135 divide(divide(divide(A,B),C),inverse(divide(C,divide(divide(D,E),divide(B,A))))) = divide(E,D). [para(24(a,1),81(a,1,1,2))].
% 1.46/1.71 144 inverse(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(divide(D,E),divide(A,C))),divide(E,D))))) = B. [para(123(a,1),2(a,1,1,1,2,2)),rewrite([6(13)])].
% 1.46/1.71 146 divide(inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),divide(A,E))),divide(D,C))))),E) = B. [para(123(a,1),2(a,1,2))].
% 1.46/1.71 199 divide(divide(divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,D))))),E),inverse(divide(E,divide(divide(F,V6),D)))) = divide(V6,F). [para(123(a,1),135(a,1,2,1,2,2))].
% 1.46/1.71 222 inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),divide(A,inverse(E)))),divide(D,C))))) = divide(divide(F,V6),inverse(divide(divide(V6,F),divide(E,B)))). [para(123(a,1),144(a,1,1,2,1))].
% 1.46/1.71 269 divide(inverse(divide(A,B)),divide(divide(divide(divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C))))),V6),inverse(divide(V6,divide(inverse(V7),F)))),A)) = divide(divide(V8,V9),inverse(divide(divide(V9,V8),divide(V7,B)))). [para(123(a,1),9(a,1,1,1,2))].
% 1.46/1.71 316 divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,D))))) = divide(E,inverse(divide(inverse(F),divide(D,divide(inverse(divide(divide(V6,V7),divide(F,E))),divide(V7,V6)))))). [para(146(a,1),7(a,1,2,2,1,2,2))].
% 1.46/1.71 375 divide(inverse(inverse(A)),divide(B,divide(inverse(divide(divide(C,D),B)),divide(D,C)))) = A. [para(50(a,1),8(a,1,1)),rewrite([2(10)])].
% 1.46/1.71 400 inverse(inverse(inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),divide(A,divide(E,F)))),divide(D,C))))))) = inverse(divide(divide(inverse(divide(divide(V6,V7),divide(F,E))),divide(V7,V6)),B)). [para(146(a,1),50(a,1,1,2)),flip(a)].
% 1.46/1.71 404 divide(inverse(A),divide(divide(divide(B,C),inverse(divide(divide(C,B),D))),inverse(inverse(A)))) = D. [para(375(a,1),2(a,1,1,1))].
% 1.46/1.71 425 inverse(divide(A,divide(B,divide(inverse(divide(divide(C,D),B)),divide(D,C))))) = divide(inverse(A),divide(E,divide(inverse(divide(divide(F,V6),E)),divide(V6,F)))). [para(47(a,1),375(a,1,1,1)),flip(a)].
% 1.46/1.71 430 divide(inverse(inverse(inverse(A))),divide(divide(B,C),inverse(divide(divide(C,B),A)))) = divide(divide(inverse(divide(divide(D,E),F)),divide(E,D)),F). [para(375(a,1),7(a,1,2,2,1,2))].
% 1.46/1.71 440 divide(divide(divide(A,B),inverse(divide(divide(B,A),C))),inverse(inverse(inverse(C)))) = divide(D,divide(inverse(divide(divide(E,F),D)),divide(F,E))). [para(375(a,1),123(a,1,1,2,1,2))].
% 1.46/1.71 486 divide(A,divide(divide(divide(B,C),inverse(divide(divide(C,B),D))),inverse(A))) = D. [para(24(a,1),404(a,1,1)),rewrite([24(12)])].
% 1.46/1.71 555 divide(inverse(inverse(A)),divide(divide(B,C),inverse(divide(divide(C,B),divide(divide(divide(D,E),F),inverse(divide(F,divide(V6,divide(E,D))))))))) = divide(inverse(divide(divide(V7,V8),divide(A,V6))),divide(V8,V7)). [para(10(a,1),7(a,1,2,2,1,2))].
% 1.46/1.71 566 divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C)))))))),inverse(inverse(V6))) = divide(divide(V7,V8),inverse(divide(divide(V8,V7),divide(V6,F)))). [para(10(a,1),123(a,1,1,2,1,2))].
% 1.46/1.71 583 divide(inverse(divide(A,divide(B,C))),divide(divide(divide(inverse(D),divide(divide(E,F),inverse(divide(divide(F,E),divide(D,V6))))),inverse(divide(inverse(divide(inverse(divide(V7,divide(V8,divide(V9,V10)))),divide(V6,divide(V7,divide(V10,V9))))),divide(C,V8)))),A)) = B. [para(10(a,2),9(a,1,2,1,1))].
% 1.46/1.71 609 inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),B)),divide(D,C))))) = A. [para(486(a,1),2(a,1,1,1,2)),rewrite([6(11)])].
% 1.46/1.71 708 divide(divide(inverse(divide(divide(A,B),divide(C,divide(D,E)))),divide(B,A)),F) = inverse(inverse(divide(C,divide(F,divide(E,D))))). [para(6(a,1),609(a,1,1)),flip(a)].
% 1.46/1.71 710 divide(A,divide(divide(inverse(B),divide(divide(C,D),A)),divide(D,C))) = B. [para(24(a,1),609(a,1,1,2,2,1)),rewrite([44(12)])].
% 1.46/1.71 742 inverse(divide(divide(A,B),divide(C,divide(divide(divide(B,A),D),inverse(C))))) = D. [para(710(a,1),2(a,1,1,1,2)),rewrite([6(10)])].
% 1.46/1.71 843 inverse(divide(divide(inverse(divide(divide(A,B),divide(C,D))),divide(B,A)),divide(E,divide(D,inverse(E))))) = inverse(C). [para(123(a,1),742(a,1,1,2,2,1))].
% 1.46/1.71 879 divide(inverse(divide(A,B)),inverse(inverse(divide(C,divide(A,B))))) = inverse(C). [para(11(a,1),6(a,2,1)),rewrite([708(21),5(14)])].
% 1.46/1.71 947 divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,inverse(divide(D,divide(E,divide(divide(divide(divide(divide(F,V6),V7),inverse(divide(V7,divide(V8,divide(V6,F))))),V9),inverse(divide(V9,divide(V10,V8)))))))))))) = divide(divide(divide(D,V10),V11),inverse(divide(V11,E))). [para(11(a,1),10(a,2,2,1,2))].
% 1.46/1.71 962 divide(inverse(divide(A,B)),divide(C,A)) = divide(inverse(divide(D,B)),divide(C,D)). [para(486(a,1),11(a,1,1,1,2)),rewrite([2(11)])].
% 1.46/1.71 983 divide(inverse(A),inverse(inverse(divide(B,A)))) = inverse(B). [para(2(a,1),879(a,1,1,1)),rewrite([2(8)])].
% 1.46/1.71 984 inverse(inverse(divide(A,divide(B,divide(C,D))))) = divide(inverse(divide(divide(D,C),A)),inverse(inverse(B))). [para(2(a,1),879(a,1,2,1,1)),flip(a)].
% 1.46/1.71 999 divide(inverse(divide(A,divide(inverse(divide(divide(B,C),A)),divide(C,B)))),D) = inverse(D). [para(47(a,1),879(a,1,2))].
% 1.46/1.71 1010 divide(divide(divide(A,B),inverse(divide(divide(B,A),inverse(C)))),inverse(inverse(divide(D,E)))) = inverse(inverse(divide(C,divide(D,E)))). [para(879(a,1),123(a,1,1,2,1,2))].
% 1.46/1.71 1019 divide(inverse(divide(divide(A,B),divide(inverse(divide(divide(C,D),divide(E,B))),divide(D,C)))),inverse(A)) = inverse(inverse(E)). [para(144(a,1),879(a,1,2,1))].
% 1.46/1.71 1033 divide(inverse(divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A)))))),divide(inverse(divide(divide(inverse(divide(divide(E,F),divide(V6,D))),divide(F,E)),V7)),inverse(inverse(inverse(V6))))) = inverse(V7). [para(10(a,1),879(a,1,1,1)),rewrite([984(19)])].
% 1.46/1.71 1040 divide(A,divide(inverse(divide(divide(divide(inverse(divide(divide(B,C),D)),divide(C,B)),D),E)),inverse(inverse(inverse(A))))) = inverse(E). [para(609(a,1),879(a,1,1)),rewrite([984(11)])].
% 1.46/1.71 1045 divide(A,divide(inverse(divide(divide(divide(divide(divide(B,C),A),inverse(D)),D),E)),inverse(inverse(divide(C,B))))) = inverse(E). [para(742(a,1),879(a,1,1)),rewrite([984(10)])].
% 1.46/1.71 1067 inverse(divide(divide(inverse(divide(divide(A,B),divide(C,D))),divide(B,A)),E)) = inverse(divide(inverse(divide(D,C)),inverse(inverse(E)))). [back_rewrite(400),rewrite([984(12),123(9)]),flip(a)].
% 1.46/1.71 1093 inverse(inverse(divide(divide(A,divide(B,divide(C,D))),divide(E,B)))) = divide(divide(A,divide(D,C)),E). [back_rewrite(133),rewrite([1010(13)])].
% 1.46/1.71 1094 divide(inverse(divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A)))))),divide(inverse(divide(inverse(divide(D,E)),inverse(inverse(F)))),inverse(inverse(inverse(E))))) = inverse(F). [back_rewrite(1033),rewrite([1067(16)])].
% 1.46/1.71 1095 inverse(divide(inverse(divide(A,B)),inverse(inverse(divide(C,divide(A,inverse(C))))))) = inverse(B). [back_rewrite(843),rewrite([1067(11)])].
% 1.46/1.71 1148 divide(inverse(inverse(inverse(divide(A,B)))),inverse(inverse(inverse(A)))) = inverse(inverse(B)). [para(983(a,1),983(a,1,2,1,1))].
% 1.46/1.71 1206 inverse(inverse(divide(divide(divide(A,B),inverse(divide(divide(B,A),C))),inverse(D)))) = divide(inverse(inverse(inverse(C))),inverse(inverse(inverse(D)))). [para(486(a,1),1148(a,1,1,1,1,1)),flip(a)].
% 1.46/1.71 1211 divide(inverse(divide(inverse(divide(divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),C),D)),inverse(inverse(inverse(E))))),inverse(inverse(inverse(D)))) = inverse(E). [para(609(a,1),1148(a,2,1)),rewrite([984(11)])].
% 1.46/1.71 1216 inverse(inverse(divide(A,divide(divide(divide(B,C),D),inverse(A))))) = divide(inverse(inverse(D)),inverse(inverse(inverse(divide(C,B))))). [para(742(a,1),1148(a,1,1,1,1)),flip(a)].
% 1.46/1.71 1223 inverse(inverse(inverse(inverse(divide(A,B))))) = divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(inverse(B))))). [para(1148(a,1),983(a,1,2,1,1)),flip(a)].
% 1.46/1.71 1438 divide(divide(A,B),inverse(divide(B,C))) = divide(divide(A,D),inverse(divide(D,C))). [para(962(a,1),7(a,1,2,2,1,2,2)),rewrite([7(12)])].
% 1.46/1.71 1495 divide(inverse(divide(A,divide(divide(divide(B,C),inverse(divide(divide(C,B),D))),inverse(E)))),divide(F,A)) = divide(inverse(D),divide(F,E)). [para(486(a,1),962(a,1,1,1)),flip(a)].
% 1.46/1.71 1500 inverse(divide(inverse(divide(A,B)),divide(C,A))) = divide(divide(inverse(divide(divide(D,E),C)),divide(E,D)),B). [para(962(a,1),609(a,1,1))].
% 1.46/1.71 1516 divide(inverse(divide(A,B)),inverse(inverse(divide(inverse(divide(C,D)),divide(A,C))))) = inverse(inverse(divide(B,D))). [para(962(a,1),983(a,1,2,1,1))].
% 1.46/1.71 1521 divide(inverse(divide(A,B)),divide(inverse(inverse(inverse(divide(C,D)))),A)) = divide(inverse(divide(inverse(inverse(inverse(C))),B)),inverse(inverse(D))). [para(1148(a,1),962(a,1,2)),flip(a)].
% 1.46/1.71 1555 divide(inverse(divide(A,B)),inverse(inverse(divide(C,divide(A,inverse(C)))))) = B. [para(1095(a,1),375(a,1,1,1)),rewrite([375(9)]),flip(a)].
% 1.46/1.71 1599 inverse(divide(A,divide(divide(B,C),divide(D,E)))) = divide(inverse(divide(C,B)),divide(inverse(inverse(A)),inverse(inverse(inverse(divide(D,E)))))). [para(135(a,1),1555(a,1,1,1)),rewrite([1216(9)]),flip(a)].
% 1.46/1.71 1601 inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),divide(A,inverse(inverse(divide(E,divide(F,inverse(E)))))))),divide(D,C))))) = inverse(divide(F,B)). [para(1555(a,1),144(a,1,1,2,1))].
% 1.46/1.71 1605 divide(divide(A,B),divide(inverse(divide(divide(C,D),divide(E,B))),divide(D,C))) = divide(A,inverse(inverse(divide(F,divide(inverse(E),inverse(F)))))). [para(144(a,1),1555(a,1,1)),flip(a)].
% 1.46/1.71 1647 divide(inverse(divide(inverse(A),B)),inverse(inverse(divide(inverse(divide(C,A)),inverse(C))))) = B. [para(983(a,1),1555(a,1,2,1,1,2))].
% 1.46/1.71 1989 inverse(inverse(divide(divide(divide(A,B),inverse(divide(B,divide(C,divide(divide(divide(D,E),F),inverse(divide(F,divide(A,divide(E,D))))))))),V6))) = divide(inverse(inverse(inverse(V7))),divide(inverse(inverse(inverse(inverse(V6)))),divide(inverse(inverse(inverse(inverse(V7)))),inverse(inverse(inverse(inverse(C))))))). [para(14(a,1),1148(a,1,1,1,1,1)),rewrite([1223(9),1223(12)]),flip(a)].
% 1.46/1.71 2009 divide(inverse(divide(divide(divide(divide(A,B),inverse(divide(B,divide(C,divide(divide(divide(D,E),F),inverse(divide(F,divide(A,divide(E,D))))))))),V6),V7)),V8) = divide(inverse(divide(V9,V7)),divide(inverse(divide(V6,divide(V8,C))),V9)). [para(14(a,1),962(a,1,2))].
% 1.46/1.71 2049 divide(inverse(divide(A,B)),inverse(inverse(divide(inverse(divide(C,D)),inverse(C))))) = divide(divide(E,F),inverse(divide(divide(F,E),divide(D,divide(B,A))))). [para(7(a,1),1647(a,1,1,1))].
% 1.46/1.71 2057 divide(inverse(divide(A,B)),divide(divide(divide(divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C))))),V6),inverse(divide(V6,divide(inverse(inverse(divide(inverse(divide(V7,V8)),inverse(V7)))),F)))),A)) = inverse(divide(inverse(V8),B)). [para(1647(a,1),9(a,1,1,1,2))].
% 1.46/1.71 2077 divide(inverse(divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A)))))),inverse(inverse(divide(inverse(divide(E,F)),inverse(E))))) = divide(divide(V6,V7),inverse(divide(divide(V7,V6),divide(F,D)))). [para(10(a,1),1647(a,1,1,1))].
% 1.46/1.71 2088 divide(inverse(inverse(A)),inverse(inverse(divide(B,inverse(inverse(B)))))) = A. [para(609(a,1),1647(a,1,2,1,1,1)),rewrite([999(8)])].
% 1.46/1.71 2103 divide(inverse(inverse(inverse(divide(inverse(divide(A,B)),inverse(A))))),inverse(inverse(C))) = inverse(inverse(divide(inverse(B),C))). [para(1647(a,1),983(a,1,2,1,1))].
% 1.46/1.71 2178 divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(inverse(inverse(inverse(A))))))) = divide(inverse(inverse(inverse(B))),inverse(inverse(inverse(inverse(inverse(B)))))). [para(2088(a,1),1148(a,1,1,1,1,1)),rewrite([1223(16)]),flip(a)].
% 1.46/1.71 2196 divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(inverse(inverse(inverse(A))))))) = c_0. [new_symbol(2178)].
% 1.46/1.71 2197 divide(inverse(inverse(inverse(A))),inverse(inverse(inverse(inverse(inverse(A)))))) = c_0. [back_rewrite(2178),rewrite([2196(11)]),flip(a)].
% 1.46/1.71 2199 divide(inverse(divide(A,divide(B,divide(inverse(inverse(inverse(inverse(inverse(C))))),inverse(inverse(inverse(C))))))),divide(c_0,A)) = B. [para(2197(a,1),2(a,1,2,1))].
% 1.46/1.71 2204 inverse(divide(A,divide(B,divide(inverse(inverse(inverse(inverse(inverse(C))))),inverse(inverse(inverse(C))))))) = divide(inverse(divide(D,B)),divide(divide(A,c_0),D)). [para(2197(a,1),6(a,1,2,1,2)),flip(a)].
% 1.46/1.71 2207 divide(inverse(inverse(inverse(inverse(inverse(A))))),inverse(inverse(inverse(A)))) = divide(inverse(B),divide(divide(C,D),inverse(divide(divide(D,C),divide(B,c_0))))). [para(2197(a,1),7(a,1,2,2,1,2,2)),flip(a)].
% 1.46/1.71 2226 divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,D))))) = divide(divide(c_0,E),inverse(divide(E,divide(D,divide(inverse(inverse(inverse(inverse(inverse(F))))),inverse(inverse(inverse(F)))))))). [para(2197(a,1),10(a,2,1,1))].
% 1.46/1.71 2232 divide(inverse(inverse(A)),inverse(inverse(inverse(inverse(A))))) = c_0. [para(609(a,1),2197(a,1,1,1,1)),rewrite([609(11)])].
% 1.46/1.71 2249 divide(inverse(divide(A,B)),divide(inverse(inverse(inverse(C))),A)) = divide(inverse(divide(inverse(inverse(inverse(inverse(inverse(C))))),B)),c_0). [para(2197(a,1),962(a,1,2)),flip(a)].
% 1.46/1.71 2260 divide(inverse(inverse(A)),inverse(inverse(c_0))) = A. [para(2197(a,1),2088(a,1,2,1,1))].
% 1.46/1.71 2262 divide(inverse(divide(inverse(divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(inverse(B)))))),C)),c_0) = divide(inverse(divide(inverse(inverse(inverse(A))),C)),inverse(inverse(B))). [back_rewrite(1521),rewrite([2249(8),1223(5)])].
% 1.46/1.71 2270 divide(inverse(divide(A,B)),divide(divide(C,D),A)) = inverse(divide(C,divide(B,divide(inverse(inverse(c_0)),inverse(inverse(D)))))). [para(2260(a,1),6(a,1,2,1,2))].
% 1.46/1.71 2274 divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),divide(A,D))))) = divide(inverse(inverse(c_0)),inverse(inverse(D))). [para(2260(a,1),7(a,1,2,2,1,2,2))].
% 1.46/1.71 2281 divide(divide(divide(A,B),inverse(divide(divide(B,A),C))),inverse(inverse(inverse(C)))) = inverse(inverse(c_0)). [para(2260(a,1),123(a,1,1,2,1,2))].
% 1.46/1.71 2293 divide(inverse(inverse(inverse(A))),divide(divide(B,C),inverse(divide(divide(C,B),A)))) = divide(divide(divide(D,E),F),inverse(divide(F,divide(inverse(inverse(c_0)),divide(E,D))))). [para(2260(a,1),10(a,1,2,2,1,2))].
% 1.46/1.71 2294 divide(divide(A,B),inverse(divide(B,divide(C,divide(inverse(inverse(c_0)),inverse(inverse(A))))))) = divide(inverse(inverse(c_0)),inverse(inverse(C))). [para(2260(a,1),10(a,2,1,1)),rewrite([2274(8)]),flip(a)].
% 1.46/1.71 2309 inverse(inverse(inverse(inverse(c_0)))) = c_0. [para(2260(a,1),1148(a,1,1,1,1,1)),rewrite([2232(9)]),flip(a)].
% 1.46/1.71 2314 divide(inverse(divide(A,B)),divide(inverse(inverse(C)),A)) = divide(inverse(divide(inverse(inverse(c_0)),B)),C). [para(2260(a,1),962(a,1,2)),flip(a)].
% 1.46/1.71 2316 divide(inverse(divide(inverse(inverse(A)),B)),inverse(inverse(divide(inverse(c_0),A)))) = B. [para(2260(a,1),1555(a,1,2,1,1,2))].
% 1.46/1.71 2331 inverse(divide(A,divide(B,divide(inverse(inverse(inverse(inverse(inverse(C))))),inverse(inverse(inverse(C))))))) = inverse(divide(A,divide(B,c_0))). [back_rewrite(2204),rewrite([2270(18),2260(19)])].
% 1.46/1.71 2345 inverse(divide(divide(divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))),E),divide(F,divide(inverse(inverse(c_0)),inverse(inverse(inverse(divide(E,divide(inverse(inverse(divide(inverse(divide(V6,V7)),inverse(V6)))),D))))))))) = inverse(divide(inverse(V7),F)). [back_rewrite(2057),rewrite([2270(22)])].
% 1.46/1.71 2486 divide(inverse(divide(A,B)),divide(inverse(inverse(divide(inverse(inverse(c_0)),inverse(inverse(C))))),inverse(inverse(inverse(divide(inverse(inverse(c_0)),inverse(inverse(inverse(divide(inverse(divide(inverse(divide(D,divide(E,divide(F,V6)))),divide(C,divide(D,divide(V6,F))))),divide(A,E))))))))))) = B. [back_rewrite(583),rewrite([2274(11),2270(24),1599(28)])].
% 1.46/1.71 2518 inverse(divide(divide(divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))),E),divide(F,divide(inverse(inverse(c_0)),inverse(inverse(inverse(divide(E,divide(inverse(V6),D))))))))) = divide(divide(V7,V8),inverse(divide(divide(V8,V7),divide(V6,F)))). [back_rewrite(269),rewrite([2270(17)])].
% 1.46/1.71 2534 inverse(divide(inverse(A),divide(B,divide(inverse(divide(divide(C,D),divide(A,divide(E,F)))),divide(D,C))))) = inverse(divide(F,divide(B,divide(inverse(inverse(c_0)),inverse(inverse(E)))))). [back_rewrite(69),rewrite([2270(16)])].
% 1.46/1.71 2536 inverse(divide(A,divide(B,divide(divide(divide(divide(divide(C,D),E),inverse(divide(E,divide(F,divide(D,C))))),V6),inverse(divide(V6,divide(V7,F))))))) = inverse(divide(A,divide(B,divide(inverse(inverse(c_0)),inverse(inverse(V7)))))). [back_rewrite(34),rewrite([2270(20)])].
% 1.46/1.71 2547 divide(divide(c_0,A),inverse(divide(A,divide(B,c_0)))) = divide(inverse(inverse(c_0)),inverse(inverse(B))). [back_rewrite(2226),rewrite([2274(8),2331(20)]),flip(a)].
% 1.46/1.71 2548 divide(inverse(inverse(inverse(inverse(inverse(A))))),inverse(inverse(inverse(A)))) = c_0. [back_rewrite(2207),rewrite([2274(18),2260(16)])].
% 1.46/1.71 2590 divide(divide(divide(A,B),C),inverse(divide(C,D))) = divide(inverse(inverse(c_0)),inverse(divide(inverse(divide(B,A)),inverse(inverse(D))))). [back_rewrite(947),rewrite([2536(18),2274(17),984(13),2260(9)]),flip(a)].
% 1.46/1.71 2613 divide(A,inverse(divide(inverse(B),divide(C,divide(inverse(divide(divide(D,E),divide(B,A))),divide(E,D)))))) = divide(inverse(inverse(c_0)),inverse(inverse(C))). [back_rewrite(316),rewrite([2274(8)]),flip(a)].
% 1.46/1.71 2614 divide(inverse(inverse(c_0)),inverse(inverse(divide(A,B)))) = divide(B,A). [back_rewrite(199),rewrite([2274(8),2590(12),2260(9),983(9)])].
% 1.46/1.71 2617 divide(A,divide(inverse(divide(divide(B,C),A)),divide(C,B))) = inverse(inverse(c_0)). [back_rewrite(440),rewrite([2281(9)]),flip(a)].
% 1.46/1.71 2631 inverse(divide(A,inverse(inverse(c_0)))) = divide(inverse(A),inverse(inverse(c_0))). [back_rewrite(425),rewrite([2617(6),2617(12)])].
% 1.46/1.71 2637 divide(inverse(divide(A,divide(B,c_0))),divide(c_0,A)) = B. [back_rewrite(2199),rewrite([2548(9)])].
% 1.46/1.71 2681 divide(inverse(divide(A,B)),divide(inverse(divide(C,divide(D,E))),A)) = divide(inverse(divide(divide(divide(inverse(inverse(c_0)),inverse(inverse(E))),C),B)),D). [back_rewrite(2009),rewrite([2590(8),983(11),2294(11)]),flip(a)].
% 1.46/1.71 2686 divide(inverse(inverse(inverse(A))),divide(inverse(inverse(inverse(inverse(B)))),divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(inverse(C))))))) = inverse(inverse(divide(divide(inverse(inverse(c_0)),inverse(inverse(C))),B))). [back_rewrite(1989),rewrite([2590(8),983(11),2294(11)]),flip(a)].
% 1.46/1.71 2733 inverse(divide(divide(divide(inverse(inverse(c_0)),inverse(inverse(A))),B),divide(C,divide(inverse(inverse(c_0)),inverse(inverse(inverse(divide(B,divide(inverse(D),A))))))))) = divide(divide(E,F),inverse(divide(divide(F,E),divide(D,C)))). [back_rewrite(2518),rewrite([2590(7),983(10)])].
% 1.46/1.71 2761 inverse(divide(divide(divide(inverse(inverse(c_0)),inverse(inverse(A))),B),divide(C,divide(inverse(inverse(c_0)),inverse(inverse(inverse(divide(B,divide(inverse(inverse(divide(inverse(divide(D,E)),inverse(D)))),A))))))))) = inverse(divide(inverse(E),C)). [back_rewrite(2345),rewrite([2590(7),983(10)])].
% 1.46/1.71 2765 divide(inverse(inverse(inverse(A))),divide(divide(B,C),inverse(divide(divide(C,B),A)))) = divide(inverse(inverse(c_0)),c_0). [back_rewrite(2293),rewrite([2590(19),983(22),2309(17)])].
% 1.46/1.71 2770 divide(inverse(divide(inverse(inverse(c_0)),inverse(inverse(A)))),inverse(inverse(divide(inverse(divide(B,C)),inverse(B))))) = divide(divide(D,E),inverse(divide(divide(E,D),divide(C,A)))). [back_rewrite(2077),rewrite([2590(7),983(10)])].
% 1.46/1.71 2826 divide(inverse(divide(inverse(inverse(c_0)),inverse(inverse(A)))),divide(inverse(divide(inverse(divide(A,B)),inverse(inverse(C)))),inverse(inverse(inverse(B))))) = inverse(C). [back_rewrite(1094),rewrite([2590(7),983(10)])].
% 1.46/1.71 2843 divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(inverse(inverse(c_0)),inverse(inverse(C)))))),inverse(inverse(D))) = divide(divide(E,F),inverse(divide(divide(F,E),divide(D,C)))). [back_rewrite(566),rewrite([2590(9),983(12)])].
% 1.46/1.71 2844 divide(inverse(inverse(A)),divide(divide(B,C),inverse(divide(divide(C,B),divide(inverse(inverse(c_0)),inverse(inverse(D))))))) = divide(inverse(divide(divide(E,F),divide(A,D))),divide(F,E)). [back_rewrite(555),rewrite([2590(11),983(14)])].
% 1.46/1.71 2867 divide(inverse(inverse(inverse(c_0))),A) = inverse(A). [back_rewrite(999),rewrite([2617(6)])].
% 1.46/1.71 2872 divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),C) = divide(inverse(inverse(c_0)),c_0). [back_rewrite(430),rewrite([2765(9)]),flip(a)].
% 1.46/1.71 2879 divide(inverse(divide(inverse(divide(divide(inverse(inverse(c_0)),c_0),A)),inverse(inverse(inverse(B))))),inverse(inverse(inverse(A)))) = inverse(B). [back_rewrite(1211),rewrite([2872(6)])].
% 1.46/1.71 2880 divide(A,divide(inverse(divide(divide(inverse(inverse(c_0)),c_0),B)),inverse(inverse(inverse(A))))) = inverse(B). [back_rewrite(1040),rewrite([2872(6)])].
% 1.46/1.71 2894 inverse(divide(inverse(divide(A,B)),divide(C,divide(A,divide(D,E))))) = divide(inverse(divide(divide(E,D),C)),B). [para(146(a,1),27(a,1,1,1,1,2)),rewrite([2534(20),2681(20),2614(19),2260(13)])].
% 1.46/1.71 2902 divide(inverse(inverse(divide(inverse(divide(A,B)),divide(C,A)))),inverse(inverse(divide(inverse(divide(divide(D,E),F)),inverse(inverse(C)))))) = divide(inverse(divide(divide(E,D),B)),inverse(inverse(F))). [para(27(a,1),1148(a,1,1,1,1)),rewrite([984(11),984(20)])].
% 1.46/1.71 2904 inverse(divide(inverse(divide(A,B)),divide(C,A))) = divide(inverse(divide(inverse(divide(divide(divide(D,divide(E,F)),B),V6)),inverse(divide(inverse(divide(divide(E,F),D)),inverse(inverse(C)))))),inverse(inverse(inverse(V6)))). [para(27(a,1),1148(a,2,1)),rewrite([984(11),984(10)]),flip(a)].
% 1.46/1.71 2906 divide(inverse(divide(inverse(inverse(c_0)),A)),inverse(divide(B,C))) = divide(inverse(divide(inverse(inverse(inverse(B))),A)),inverse(inverse(C))). [para(1148(a,1),27(a,2,2)),rewrite([2894(13),2314(10)])].
% 1.46/1.71 2921 divide(inverse(divide(inverse(divide(A,divide(B,divide(C,D)))),E)),inverse(inverse(divide(divide(inverse(divide(F,A)),divide(V6,F)),divide(inverse(divide(divide(C,D),B)),inverse(inverse(V6))))))) = E. [para(27(a,1),1647(a,1,2,1,1,1)),rewrite([984(15)])].
% 1.46/1.71 2929 divide(inverse(divide(A,B)),divide(inverse(inverse(divide(inverse(inverse(c_0)),inverse(inverse(C))))),inverse(inverse(inverse(divide(inverse(inverse(c_0)),inverse(divide(divide(inverse(divide(divide(D,E),C)),divide(E,D)),A)))))))) = B. [back_rewrite(2486),rewrite([2894(22),1093(23)])].
% 1.46/1.71 2940 divide(inverse(divide(A,B)),inverse(inverse(inverse(divide(A,c_0))))) = B. [para(2309(a,1),1555(a,1,2,1,1,2,2)),rewrite([2867(9)])].
% 1.46/1.71 2944 divide(c_0,inverse(inverse(c_0))) = inverse(inverse(c_0)). [para(2309(a,1),2260(a,1,1))].
% 1.46/1.71 2953 divide(inverse(divide(A,B)),divide(C,A)) = divide(inverse(inverse(B)),divide(C,inverse(inverse(inverse(c_0))))). [para(2867(a,1),962(a,1,1,1)),flip(a)].
% 1.46/1.71 2956 divide(divide(A,B),inverse(divide(B,C))) = divide(divide(A,inverse(inverse(inverse(c_0)))),inverse(inverse(C))). [para(2867(a,1),1438(a,1,2,1)),flip(a)].
% 1.46/1.71 2957 inverse(inverse(inverse(c_0))) = inverse(c_0). [para(2867(a,1),2260(a,1))].
% 1.46/1.71 2965 divide(inverse(divide(inverse(divide(A,divide(B,divide(C,D)))),E)),inverse(inverse(divide(divide(inverse(inverse(A)),divide(F,inverse(c_0))),divide(inverse(divide(divide(C,D),B)),inverse(inverse(F))))))) = E. [back_rewrite(2921),rewrite([2953(10),2957(12)])].
% 1.46/1.71 2975 divide(inverse(divide(inverse(divide(divide(divide(A,divide(B,C)),D),E)),inverse(divide(inverse(divide(divide(B,C),A)),inverse(inverse(F)))))),inverse(inverse(inverse(E)))) = inverse(divide(inverse(inverse(D)),divide(F,inverse(c_0)))). [back_rewrite(2904),rewrite([2953(4),2957(6)]),flip(a)].
% 1.46/1.71 2976 divide(inverse(inverse(divide(inverse(inverse(A)),divide(B,inverse(c_0))))),inverse(inverse(divide(inverse(divide(divide(C,D),E)),inverse(inverse(B)))))) = divide(inverse(divide(divide(D,C),A)),inverse(inverse(E))). [back_rewrite(2902),rewrite([2953(4),2957(6)])].
% 1.46/1.71 3010 divide(inverse(inverse(divide(A,c_0))),divide(c_0,inverse(c_0))) = A. [back_rewrite(2637),rewrite([2953(7),2957(9)])].
% 1.46/1.71 3015 divide(inverse(divide(inverse(inverse(c_0)),A)),B) = divide(inverse(inverse(A)),divide(inverse(inverse(B)),inverse(c_0))). [back_rewrite(2314),rewrite([2953(6),2957(8)]),flip(a)].
% 1.46/1.71 3016 inverse(divide(A,divide(B,divide(inverse(inverse(c_0)),inverse(inverse(C)))))) = divide(inverse(inverse(B)),divide(divide(A,C),inverse(c_0))). [back_rewrite(2270),rewrite([2953(5),2957(7)]),flip(a)].
% 1.46/1.71 3035 divide(inverse(divide(A,B)),inverse(inverse(divide(inverse(inverse(C)),divide(A,inverse(c_0)))))) = inverse(inverse(divide(B,C))). [back_rewrite(1516),rewrite([2953(6),2957(8)])].
% 1.46/1.71 3038 divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),D) = inverse(divide(inverse(inverse(D)),divide(C,inverse(c_0)))). [back_rewrite(1500),rewrite([2953(4),2957(6)]),flip(a)].
% 1.46/1.71 3041 divide(divide(inverse(inverse(inverse(A))),inverse(inverse(inverse(B)))),divide(C,inverse(c_0))) = divide(inverse(A),divide(C,B)). [back_rewrite(1495),rewrite([2953(11),1206(9),2957(11)])].
% 1.46/1.71 3069 divide(divide(divide(A,B),inverse(c_0)),inverse(inverse(C))) = divide(inverse(inverse(c_0)),inverse(divide(inverse(divide(B,A)),inverse(inverse(C))))). [back_rewrite(2590),rewrite([2956(5),2957(5)])].
% 1.46/1.71 3071 divide(divide(c_0,inverse(c_0)),inverse(inverse(divide(A,c_0)))) = divide(inverse(inverse(c_0)),inverse(inverse(A))). [back_rewrite(2547),rewrite([2956(7),2957(5)])].
% 1.46/1.71 3110 divide(divide(A,B),inverse(divide(B,C))) = divide(divide(A,inverse(c_0)),inverse(inverse(C))). [back_rewrite(2956),rewrite([2957(8)])].
% 1.46/1.71 3122 divide(inverse(c_0),A) = inverse(A). [back_rewrite(2867),rewrite([2957(4)])].
% 1.46/1.71 3123 inverse(inverse(c_0)) = c_0. [back_rewrite(2309),rewrite([2957(4)])].
% 1.46/1.71 3141 divide(inverse(divide(c_0,A)),inverse(divide(B,C))) = divide(inverse(divide(inverse(inverse(inverse(B))),A)),inverse(inverse(C))). [back_rewrite(2906),rewrite([3123(3)])].
% 1.46/1.71 3150 divide(inverse(divide(c_0,inverse(inverse(A)))),divide(inverse(divide(inverse(divide(A,B)),inverse(inverse(C)))),inverse(inverse(inverse(B))))) = inverse(C). [back_rewrite(2826),rewrite([3123(3)])].
% 1.46/1.71 3154 divide(inverse(divide(c_0,inverse(inverse(A)))),inverse(inverse(divide(inverse(divide(B,C)),inverse(B))))) = divide(divide(D,E),inverse(divide(divide(E,D),divide(C,A)))). [back_rewrite(2770),rewrite([3123(3)])].
% 1.46/1.71 3167 inverse(divide(divide(divide(c_0,inverse(inverse(A))),B),divide(C,divide(c_0,inverse(inverse(inverse(divide(B,divide(inverse(inverse(divide(inverse(divide(D,E)),inverse(D)))),A))))))))) = inverse(divide(inverse(E),C)). [back_rewrite(2761),rewrite([3123(3),3123(8)])].
% 1.46/1.71 3173 inverse(divide(divide(divide(c_0,inverse(inverse(A))),B),divide(C,divide(c_0,inverse(inverse(inverse(divide(B,divide(inverse(D),A))))))))) = divide(divide(E,F),inverse(divide(divide(F,E),divide(D,C)))). [back_rewrite(2733),rewrite([3123(3),3123(8)])].
% 1.46/1.71 3197 divide(inverse(divide(A,B)),divide(inverse(inverse(divide(c_0,inverse(inverse(C))))),inverse(inverse(inverse(divide(c_0,inverse(inverse(divide(inverse(inverse(A)),divide(C,inverse(c_0))))))))))) = B. [back_rewrite(2929),rewrite([3123(5),3123(11),3038(15)])].
% 1.46/1.71 3198 inverse(divide(inverse(inverse(A)),divide(A,inverse(c_0)))) = divide(c_0,c_0). [back_rewrite(2872),rewrite([3038(6),3123(10)])].
% 1.46/1.71 3204 inverse(inverse(divide(inverse(inverse(A)),divide(divide(B,C),inverse(c_0))))) = inverse(divide(inverse(divide(C,B)),inverse(inverse(A)))). [back_rewrite(1067),rewrite([3038(7)])].
% 1.46/1.71 3212 divide(inverse(divide(inverse(inverse(A)),B)),inverse(inverse(inverse(A)))) = B. [back_rewrite(2316),rewrite([3122(7)])].
% 1.46/1.71 3220 divide(divide(c_0,inverse(c_0)),inverse(inverse(divide(A,c_0)))) = divide(c_0,inverse(inverse(A))). [back_rewrite(3071),rewrite([3123(12)])].
% 1.46/1.71 3222 divide(divide(divide(A,B),inverse(c_0)),inverse(inverse(C))) = divide(c_0,inverse(divide(inverse(divide(B,A)),inverse(inverse(C))))). [back_rewrite(3069),rewrite([3123(10)])].
% 1.46/1.71 3232 inverse(divide(A,divide(B,divide(c_0,inverse(inverse(C)))))) = divide(inverse(inverse(B)),divide(divide(A,C),inverse(c_0))). [back_rewrite(3016),rewrite([3123(3)])].
% 1.46/1.71 3233 divide(inverse(divide(c_0,A)),B) = divide(inverse(inverse(A)),divide(inverse(inverse(B)),inverse(c_0))). [back_rewrite(3015),rewrite([3123(3)])].
% 1.46/1.71 3255 divide(c_0,c_0) = c_0. [back_rewrite(2944),rewrite([3123(4),3123(6)])].
% 1.46/1.71 3257 divide(A,divide(inverse(inverse(B)),divide(inverse(inverse(inverse(inverse(inverse(A))))),inverse(c_0)))) = inverse(B). [back_rewrite(2880),rewrite([3123(3),3255(3),3233(7)])].
% 1.46/1.71 3258 divide(inverse(inverse(inverse(inverse(inverse(A))))),inverse(c_0)) = inverse(A). [back_rewrite(2879),rewrite([3123(3),3255(3),3233(7),3212(16)])].
% 1.46/1.71 3279 divide(inverse(inverse(A)),divide(divide(B,C),inverse(divide(divide(C,B),divide(c_0,inverse(inverse(D))))))) = divide(inverse(divide(divide(E,F),divide(A,D))),divide(F,E)). [back_rewrite(2844),rewrite([3123(7)])].
% 1.46/1.71 3280 divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(c_0,inverse(inverse(C)))))),inverse(inverse(D))) = divide(divide(E,F),inverse(divide(divide(F,E),divide(D,C)))). [back_rewrite(2843),rewrite([3123(5)])].
% 1.46/1.71 3365 divide(inverse(inverse(inverse(A))),divide(inverse(inverse(inverse(inverse(B)))),divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(inverse(C))))))) = inverse(inverse(divide(divide(c_0,inverse(inverse(C))),B))). [back_rewrite(2686),rewrite([3123(21)])].
% 1.46/1.71 3379 inverse(divide(A,c_0)) = divide(inverse(A),c_0). [back_rewrite(2631),rewrite([3123(3),3123(7)])].
% 1.46/1.71 3395 divide(c_0,inverse(inverse(divide(A,B)))) = divide(B,A). [back_rewrite(2614),rewrite([3123(3)])].
% 1.46/1.71 3396 divide(A,inverse(divide(inverse(B),divide(C,divide(inverse(divide(divide(D,E),divide(B,A))),divide(E,D)))))) = divide(c_0,inverse(inverse(C))). [back_rewrite(2613),rewrite([3123(14)])].
% 1.46/1.71 3467 divide(inverse(inverse(A)),c_0) = A. [back_rewrite(2260),rewrite([3123(5)])].
% 1.46/1.71 3483 divide(divide(A,B),inverse(divide(divide(B,A),divide(C,D)))) = divide(inverse(inverse(D)),divide(divide(c_0,inverse(inverse(inverse(C)))),inverse(c_0))). [back_rewrite(3173),rewrite([3232(16),3110(12),3222(14),3467(7),983(9)]),flip(a)].
% 1.46/1.71 3489 divide(inverse(inverse(A)),divide(divide(c_0,inverse(inverse(inverse(inverse(B))))),inverse(c_0))) = inverse(divide(inverse(B),A)). [back_rewrite(3167),rewrite([3232(21),3110(17),3222(19),3467(7),983(14),1223(11),1223(8),3212(19)])].
% 1.46/1.71 3499 divide(inverse(inverse(A)),divide(divide(c_0,inverse(inverse(inverse(B)))),inverse(c_0))) = divide(inverse(inverse(inverse(inverse(A)))),divide(inverse(inverse(inverse(inverse(B)))),inverse(c_0))). [back_rewrite(3154),rewrite([3233(12),1223(12),1223(9),3212(20),3483(18)]),flip(a)].
% 1.46/1.71 3502 divide(inverse(inverse(inverse(inverse(A)))),divide(inverse(inverse(divide(inverse(divide(inverse(divide(A,B)),inverse(inverse(C)))),inverse(inverse(inverse(B)))))),inverse(c_0))) = inverse(C). [back_rewrite(3150),rewrite([3233(16)])].
% 1.46/1.71 3511 divide(inverse(inverse(A)),divide(inverse(inverse(inverse(divide(B,C)))),inverse(c_0))) = divide(inverse(divide(inverse(inverse(inverse(B))),A)),inverse(inverse(C))). [back_rewrite(3141),rewrite([3233(6)])].
% 1.46/1.71 3522 inverse(divide(inverse(inverse(A)),divide(A,inverse(c_0)))) = c_0. [back_rewrite(3198),rewrite([3255(10)])].
% 1.46/1.71 3523 divide(A,divide(inverse(inverse(B)),inverse(A))) = inverse(B). [back_rewrite(3257),rewrite([3258(10)])].
% 1.46/1.71 3527 divide(divide(c_0,inverse(c_0)),A) = divide(c_0,inverse(inverse(A))). [back_rewrite(3220),rewrite([3379(7),3379(8),3467(8)])].
% 1.46/1.71 3528 divide(A,divide(c_0,inverse(c_0))) = A. [back_rewrite(3010),rewrite([3379(3),3379(4),3467(4)])].
% 1.46/1.71 3530 divide(inverse(divide(A,B)),inverse(A)) = B. [back_rewrite(2940),rewrite([3379(5),3379(6),3467(6)])].
% 1.46/1.71 3534 divide(inverse(divide(A,B)),divide(inverse(inverse(divide(c_0,inverse(inverse(C))))),inverse(inverse(inverse(divide(divide(C,inverse(c_0)),inverse(inverse(A)))))))) = B. [back_rewrite(3197),rewrite([3395(18)])].
% 1.46/1.71 3544 divide(inverse(inverse(inverse(inverse(A)))),divide(inverse(inverse(inverse(inverse(B)))),inverse(c_0))) = divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(B))). [back_rewrite(3280),rewrite([3483(9),3123(8),3527(11),3123(8),3528(9),3483(13),3499(18)]),flip(a)].
% 1.46/1.71 3545 divide(inverse(divide(divide(A,B),divide(C,D))),divide(B,A)) = divide(inverse(inverse(C)),inverse(inverse(inverse(inverse(D))))). [back_rewrite(3279),rewrite([3483(11),3123(10),3527(13),3123(10),3528(11)]),flip(a)].
% 1.46/1.71 3556 divide(inverse(divide(A,B)),inverse(inverse(C))) = divide(inverse(inverse(B)),divide(inverse(inverse(inverse(inverse(C)))),inverse(A))). [back_rewrite(2049),rewrite([3530(6),3483(12),3499(17),1223(10),3041(22)])].
% 1.46/1.71 3564 inverse(divide(inverse(A),divide(B,divide(inverse(inverse(A)),inverse(inverse(inverse(inverse(inverse(C))))))))) = divide(inverse(inverse(inverse(inverse(B)))),inverse(inverse(C))). [back_rewrite(222),rewrite([3545(8),3483(18),3499(23),3544(24)])].
% 1.46/1.71 3566 divide(divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(B))),inverse(B)) = A. [back_rewrite(123),rewrite([3483(6),3499(11),3544(12)])].
% 1.46/1.71 3569 divide(A,inverse(divide(inverse(B),divide(C,divide(inverse(inverse(B)),inverse(inverse(inverse(inverse(A))))))))) = divide(c_0,inverse(inverse(C))). [back_rewrite(3396),rewrite([3545(7)])].
% 1.46/1.71 3573 inverse(divide(A,B)) = divide(inverse(inverse(inverse(inverse(B)))),inverse(inverse(A))). [back_rewrite(1601),rewrite([3545(12),1223(10),1223(13),3523(18),3564(12)]),flip(a)].
% 1.46/1.71 3575 divide(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(B)))) = divide(inverse(inverse(inverse(inverse(A)))),inverse(B)). [back_rewrite(3489),rewrite([3499(12),3258(12),3573(9)]),flip(a)].
% 1.46/1.71 3593 divide(inverse(inverse(inverse(inverse(inverse(A))))),inverse(inverse(B))) = divide(inverse(inverse(inverse(A))),inverse(inverse(B))). [back_rewrite(2103),rewrite([3573(2),3566(9),3573(9),3575(14),3573(13),3575(18),3575(16)]),flip(a)].
% 1.46/1.71 3599 divide(divide(inverse(inverse(inverse(inverse(A)))),inverse(B)),inverse(inverse(B))) = A. [back_rewrite(1647),rewrite([3573(3),3575(8),3573(8),3566(15)])].
% 1.46/1.71 3663 divide(divide(A,B),divide(divide(divide(inverse(inverse(inverse(inverse(C)))),inverse(inverse(B))),divide(inverse(inverse(inverse(inverse(D)))),inverse(inverse(E)))),divide(E,D))) = divide(A,inverse(inverse(C))). [back_rewrite(1605),rewrite([3573(5),3573(3),3573(9),3575(14),3575(12),3593(10),3573(9),3575(14),3575(12),3593(10),3573(9),3575(14),3575(12),3593(10),3573(10),3573(16),3575(21),3575(19),3593(17),3573(24),3573(23),3575(28),3573(27),3575(32),3575(30),3575(28),3573(27),3575(32),3575(30),3575(28),3573(27),3575(32),3575(30),3575(28),3599(29)])].
% 1.46/1.71 3664 inverse(inverse(A)) = A. [back_rewrite(1019),rewrite([3573(5),3573(3),3573(9),3575(14),3575(12),3593(10),3573(9),3575(14),3575(12),3593(10),3573(9),3575(14),3575(12),3593(10),3573(10),3573(16),3575(21),3575(19),3593(17),3663(19),3573(4),3593(9),3566(9)]),flip(a)].
% 1.46/1.71 3672 divide(A,divide(divide(B,C),inverse(c_0))) = divide(divide(A,inverse(C)),B). [back_rewrite(3511),rewrite([3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(7),3573(8),3664(7),3664(7),3664(7),3664(9)])].
% 1.46/1.71 3674 divide(divide(A,B),divide(C,divide(B,A))) = inverse(C). [back_rewrite(3502),rewrite([3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(4),3573(5),3664(2),3664(2),3573(4),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3664(4),3573(4),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(5),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(4),3672(8),3664(2)])].
% 1.46/1.71 3716 divide(divide(A,inverse(B)),C) = divide(A,divide(C,B)). [back_rewrite(3204),rewrite([3664(2),3672(5),3573(4),3664(2),3664(2),3573(3),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3664(2),3573(4),3573(3),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3664(2),3573(3),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3664(2),3664(4),3573(5),3664(5),3664(5),3664(5),3664(6),3573(6),3664(5),3664(5),3573(5),3664(5),3664(5),3664(5),3573(5),3664(5),3664(5),3664(5)])].
% 1.46/1.71 3728 divide(divide(A,B),divide(C,B)) = divide(A,C). [back_rewrite(3035),rewrite([3573(2),3664(2),3664(2),3664(2),3664(3),3573(6),3573(5),3664(4),3664(4),3664(5),3122(4),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(5),3664(5),3664(5),3664(5),3573(5),3664(5),3664(5),3664(5)])].
% 1.46/1.71 3732 divide(divide(A,divide(B,C)),D) = divide(A,divide(D,divide(C,B))). [back_rewrite(2976),rewrite([3664(2),3573(5),3573(4),3664(3),3664(3),3664(4),3122(3),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(4),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3664(5),3573(5),3664(3),3664(3),3573(4),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3664(4),3573(4),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(5),3573(4),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3664(4),3573(4),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(4),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3664(4),3573(4),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3573(3),3664(3),3664(3),3664(3),3664(5),3728(5),3573(6),3664(5),3664(5),3573(5),3664(5),3664(5),3664(5),3573(5),3664(5),3664(5),3664(5),3664(7)]),flip(a)].
% 1.46/1.71 3733 divide(divide(divide(A,B),C),inverse(C)) = divide(A,B). [back_rewrite(2975),rewrite([3732(3),3732(4),3573(5),3573(4),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(4),3573(4),3664(2),3664(2),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(4),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(4),3573(4),3664(2),3664(2),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(5),3732(4),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(8),3732(7),3573(8),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(8),3732(7),3732(8),3732(6),3728(7),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(4),3664(6),3573(9),3573(8),3664(7),3664(7),3664(8),3122(7),3664(6),3664(6),3664(6)])].
% 1.46/1.71 3736 divide(A,divide(B,B)) = A. [back_rewrite(2965),rewrite([3573(4),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(4),3732(3),3732(4),3573(5),3573(4),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(4),3573(4),3664(2),3664(2),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(4),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(4),3573(4),3664(2),3664(2),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3664(5),3732(4),3664(6),3573(11),3664(10),3664(10),3573(10),3664(10),3664(10),3664(10),3573(10),3664(10),3664(10),3664(10),3664(12),3732(11),3732(12),3122(10),3732(9),3573(11),3573(10),3573(9),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3664(8),3733(8),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(8),3732(7),3573(8),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(7),3573(7),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(6),3664(6),3664(6),3664(8),3732(7),3732(8),3732(6),3728(7)])].
% 1.46/1.71 3738 divide(A,divide(c_0,divide(B,C))) = divide(A,divide(C,B)). [back_rewrite(2262),rewrite([3664(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3732(4),3664(6),3573(7),3664(6),3664(6),3664(6),3664(8),3716(7)])].
% 1.46/1.71 3744 divide(A,divide(B,inverse(A))) = inverse(B). [back_rewrite(1045),rewrite([3716(5),3736(4),3573(4),3664(2),3664(2),3573(3),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(3),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3573(2),3664(2),3664(2),3664(2),3664(3),3573(5),3664(5),3664(5),3664(5),3573(5),3664(5),3664(5),3664(5),3732(5),3674(4)])].
% 1.46/1.71 3745 divide(A,c_0) = A. [back_rewrite(3534),rewrite([3573(2),3664(2),3664(2),3664(2),3664(4),3573(4),3664(3),3664(3),3664(4),3573(4),3664(4),3664(4),3664(4),3664(8),3716(7),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(5),3664(5),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(5),3664(5),3664(6),3664(7),3573(7),3664(5),3664(5),3573(6),3664(6),3664(6),3664(6),3573(6),3664(5),3664(5),3664(6),3573(7),3573(6),3664(6),3664(6),3664(6),3573(6),3664(5),3664(5),3664(6),3573(6),3664(6),3664(6),3664(6),3573(6),3664(5),3664(5),3664(6),3664(7),3728(7),3738(6),3728(4)])].
% 1.46/1.71 3759 divide(inverse(A),divide(B,divide(A,C))) = divide(inverse(C),B). [back_rewrite(3365),rewrite([3664(2),3664(3),3664(3),3664(3),3664(3),3664(3),3664(3),3664(7),3573(8),3664(6),3664(6),3573(7),3664(6),3664(6),3664(7),3745(6),3573(7),3664(6),3664(6),3664(7)])].
% 1.46/1.71 3760 divide(c_0,A) = inverse(A). [back_rewrite(3569),rewrite([3664(3),3664(3),3664(3),3759(4),3573(3),3664(2),3664(2),3664(2),3744(3),3664(4)]),flip(a)].
% 1.46/1.71 3761 divide(divide(A,B),C) = divide(A,divide(C,inverse(B))). [back_rewrite(3556),rewrite([3573(2),3664(2),3664(2),3664(2),3664(3),3664(4),3664(4),3664(4)])].
% 1.46/1.71 3765 divide(A,A) = c_0. [back_rewrite(3522),rewrite([3664(2),3573(5),3573(4),3664(3),3664(3),3664(4),3122(3),3664(2),3664(2),3664(2)])].
% 1.46/1.71 3774 $F # answer(prove_these_axioms). [back_rewrite(4),rewrite([3765(5),3765(6),3765(8),3760(7),3664(6),3761(13),3664(12),3573(18),3664(16),3664(16),3664(18)]),xx(a),xx(b),xx(c)].
% 1.46/1.71
% 1.46/1.71 % SZS output end Refutation
% 1.46/1.71 ============================== end of proof ==========================
% 1.46/1.71
% 1.46/1.71 ============================== STATISTICS ============================
% 1.46/1.71
% 1.46/1.71 Given=41. Generated=7088. Kept=3772. proofs=1.
% 1.46/1.71 Usable=1. Sos=54. Demods=244. Limbo=201, Disabled=3519. Hints=0.
% 1.46/1.71 Megabytes=6.89.
% 1.46/1.71 User_CPU=0.73, System_CPU=0.01, Wall_clock=1.
% 1.46/1.71
% 1.46/1.71 ============================== end of statistics =====================
% 1.46/1.71
% 1.46/1.71 ============================== end of search =========================
% 1.46/1.71
% 1.46/1.71 THEOREM PROVED
% 1.46/1.71 % SZS status Unsatisfiable
% 1.46/1.71
% 1.46/1.71 Exiting with 1 proof.
% 1.46/1.71
% 1.46/1.71 Process 11846 exit (max_proofs) Mon Jun 13 21:11:09 2022
% 1.46/1.71 Prover9 interrupted
%------------------------------------------------------------------------------