TSTP Solution File: GRP479-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:19:16 EDT 2022
% Result : Unsatisfiable 1.05s 1.31s
% Output : Refutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11 % Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n014.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 09:23:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.31 ============================== Prover9 ===============================
% 0.96/1.31 Prover9 (32) version 2009-11A, November 2009.
% 0.96/1.31 Process 28833 was started by sandbox2 on n014.cluster.edu,
% 0.96/1.31 Tue Jun 14 09:23:22 2022
% 0.96/1.31 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28680_n014.cluster.edu".
% 0.96/1.31 ============================== end of head ===========================
% 0.96/1.31
% 0.96/1.31 ============================== INPUT =================================
% 0.96/1.31
% 0.96/1.31 % Reading from file /tmp/Prover9_28680_n014.cluster.edu
% 0.96/1.31
% 0.96/1.31 set(prolog_style_variables).
% 0.96/1.31 set(auto2).
% 0.96/1.31 % set(auto2) -> set(auto).
% 0.96/1.31 % set(auto) -> set(auto_inference).
% 0.96/1.31 % set(auto) -> set(auto_setup).
% 0.96/1.31 % set(auto_setup) -> set(predicate_elim).
% 0.96/1.31 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.96/1.31 % set(auto) -> set(auto_limits).
% 0.96/1.31 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.96/1.31 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.96/1.31 % set(auto) -> set(auto_denials).
% 0.96/1.31 % set(auto) -> set(auto_process).
% 0.96/1.31 % set(auto2) -> assign(new_constants, 1).
% 0.96/1.31 % set(auto2) -> assign(fold_denial_max, 3).
% 0.96/1.31 % set(auto2) -> assign(max_weight, "200.000").
% 0.96/1.31 % set(auto2) -> assign(max_hours, 1).
% 0.96/1.31 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.96/1.31 % set(auto2) -> assign(max_seconds, 0).
% 0.96/1.31 % set(auto2) -> assign(max_minutes, 5).
% 0.96/1.31 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.96/1.31 % set(auto2) -> set(sort_initial_sos).
% 0.96/1.31 % set(auto2) -> assign(sos_limit, -1).
% 0.96/1.31 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.96/1.31 % set(auto2) -> assign(max_megs, 400).
% 0.96/1.31 % set(auto2) -> assign(stats, some).
% 0.96/1.31 % set(auto2) -> clear(echo_input).
% 0.96/1.31 % set(auto2) -> set(quiet).
% 0.96/1.31 % set(auto2) -> clear(print_initial_clauses).
% 0.96/1.31 % set(auto2) -> clear(print_given).
% 0.96/1.31 assign(lrs_ticks,-1).
% 0.96/1.31 assign(sos_limit,10000).
% 0.96/1.31 assign(order,kbo).
% 0.96/1.31 set(lex_order_vars).
% 0.96/1.31 clear(print_given).
% 0.96/1.31
% 0.96/1.31 % formulas(sos). % not echoed (3 formulas)
% 0.96/1.31
% 0.96/1.31 ============================== end of input ==========================
% 0.96/1.31
% 0.96/1.31 % From the command line: assign(max_seconds, 300).
% 0.96/1.31
% 0.96/1.31 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.05/1.31
% 1.05/1.31 % Formulas that are not ordinary clauses:
% 1.05/1.31
% 1.05/1.31 ============================== end of process non-clausal formulas ===
% 1.05/1.31
% 1.05/1.31 ============================== PROCESS INITIAL CLAUSES ===============
% 1.05/1.31
% 1.05/1.31 ============================== PREDICATE ELIMINATION =================
% 1.05/1.31
% 1.05/1.31 ============================== end predicate elimination =============
% 1.05/1.31
% 1.05/1.31 Auto_denials:
% 1.05/1.31 % copying label prove_these_axioms_2 to answer in negative clause
% 1.05/1.31
% 1.05/1.31 Term ordering decisions:
% 1.05/1.31
% 1.05/1.31 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 1.05/1.31 Function symbol KB weights: a2=1. b2=1. divide=1. multiply=1. inverse=0.
% 1.05/1.31
% 1.05/1.31 ============================== end of process initial clauses ========
% 1.05/1.31
% 1.05/1.31 ============================== CLAUSES FOR SEARCH ====================
% 1.05/1.31
% 1.05/1.31 ============================== end of clauses for search =============
% 1.05/1.31
% 1.05/1.31 ============================== SEARCH ================================
% 1.05/1.31
% 1.05/1.31 % Starting search at 0.01 seconds.
% 1.05/1.31
% 1.05/1.31 ============================== PROOF =================================
% 1.05/1.31 % SZS status Unsatisfiable
% 1.05/1.31 % SZS output start Refutation
% 1.05/1.31
% 1.05/1.31 % Proof 1 at 0.32 (+ 0.01) seconds: prove_these_axioms_2.
% 1.05/1.31 % Length of proof is 82.
% 1.05/1.31 % Level of proof is 24.
% 1.05/1.31 % Maximum clause weight is 56.000.
% 1.05/1.31 % Given clauses 30.
% 1.05/1.31
% 1.05/1.31 1 multiply(A,B) = divide(A,inverse(B)) # label(multiply) # label(axiom). [assumption].
% 1.05/1.31 2 divide(inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))),D) = C # label(single_axiom) # label(axiom). [assumption].
% 1.05/1.31 3 multiply(multiply(inverse(b2),b2),a2) != a2 # label(prove_these_axioms_2) # label(negated_conjecture) # answer(prove_these_axioms_2). [assumption].
% 1.05/1.31 4 divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 # answer(prove_these_axioms_2). [copy(3),rewrite([1(4),1(7)])].
% 1.05/1.31 5 divide(inverse(divide(divide(divide(A,A),inverse(divide(divide(divide(B,B),C),divide(D,divide(C,E))))),divide(F,D))),E) = F. [para(2(a,1),2(a,1,1,1,2,2))].
% 1.05/1.31 6 inverse(divide(divide(divide(A,A),B),divide(C,divide(B,divide(D,E))))) = divide(inverse(divide(divide(divide(F,F),D),C)),E). [para(2(a,1),2(a,1,1,1,2)),flip(a)].
% 1.05/1.31 9 divide(inverse(divide(divide(divide(A,A),inverse(divide(divide(divide(B,B),C),D))),divide(E,inverse(divide(divide(divide(F,F),V6),divide(D,divide(V6,divide(C,V7)))))))),V7) = E. [para(2(a,1),5(a,1,1,1,1,2,1,2))].
% 1.05/1.31 10 inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))) = divide(inverse(divide(divide(divide(E,E),inverse(divide(divide(divide(F,F),V6),divide(D,divide(V6,V7))))),C)),V7). [para(2(a,1),5(a,1,1,1,2)),flip(a)].
% 1.05/1.31 11 divide(inverse(divide(divide(divide(A,A),inverse(divide(divide(divide(B,B),inverse(divide(divide(divide(C,C),inverse(divide(divide(divide(D,D),E),divide(F,divide(E,V6))))),divide(V7,F)))),divide(V8,V7)))),divide(V9,V8))),V6) = V9. [para(5(a,1),5(a,1,1,1,1,2,1,2,2))].
% 1.05/1.31 15 divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),divide(B,D)) = C. [para(6(a,1),2(a,1,1))].
% 1.05/1.31 25 inverse(divide(divide(divide(A,A),B),divide(divide(C,D),divide(B,D)))) = C. [para(6(a,2),5(a,1)),rewrite([2(10)])].
% 1.05/1.31 37 divide(inverse(divide(A,divide(B,divide(divide(C,inverse(divide(divide(divide(D,D),C),A))),E)))),E) = B. [para(15(a,1),2(a,1,1,1,1))].
% 1.05/1.31 49 divide(divide(divide(inverse(divide(divide(divide(A,A),B),C)),D),E),divide(F,E)) = divide(C,divide(F,divide(B,D))). [para(6(a,1),15(a,1,1,1))].
% 1.05/1.31 52 divide(divide(inverse(divide(A,B)),C),divide(divide(D,inverse(divide(divide(divide(E,E),D),A))),C)) = B. [para(15(a,1),15(a,1,1,1,1,1))].
% 1.05/1.31 62 divide(divide(A,B),divide(C,B)) = divide(divide(A,D),divide(C,D)). [para(25(a,1),15(a,1,1,1))].
% 1.05/1.31 65 divide(inverse(divide(divide(divide(A,B),divide(C,B)),divide(D,divide(divide(C,A),E)))),E) = D. [para(62(a,1),2(a,1,1,1,1))].
% 1.05/1.31 81 divide(divide(inverse(divide(divide(divide(A,B),divide(C,B)),D)),E),divide(divide(C,A),E)) = D. [para(62(a,1),15(a,1,1,1,1,1))].
% 1.05/1.31 82 divide(divide(inverse(divide(divide(divide(A,A),B),divide(C,B))),D),divide(E,D)) = divide(C,E). [para(62(a,1),15(a,1,1,1,1))].
% 1.05/1.31 84 divide(divide(A,B),divide(divide(inverse(divide(divide(divide(C,C),D),E)),F),B)) = divide(divide(A,divide(D,F)),E). [para(15(a,1),62(a,1,2)),flip(a)].
% 1.05/1.31 85 inverse(divide(divide(divide(A,B),divide(C,B)),divide(divide(D,E),divide(divide(C,A),E)))) = D. [para(62(a,1),25(a,1,1,1))].
% 1.05/1.31 169 divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(E,A)),divide(C,divide(E,B))) = D. [para(2(a,1),81(a,1,1,1,1,1,2)),rewrite([84(14)])].
% 1.05/1.31 240 divide(divide(inverse(divide(divide(divide(A,A),B),divide(C,B))),divide(D,E)),F) = divide(C,divide(inverse(divide(divide(divide(V6,V6),D),F)),E)). [para(15(a,1),82(a,1,2))].
% 1.05/1.31 244 divide(divide(A,B),divide(C,divide(B,D))) = divide(divide(A,E),divide(C,divide(E,D))). [para(82(a,1),62(a,1,1)),rewrite([49(13)])].
% 1.05/1.31 245 divide(divide(A,divide(B,C)),divide(D,B)) = divide(divide(A,divide(E,C)),divide(D,E)). [para(82(a,1),62(a,1,2)),rewrite([84(13)])].
% 1.05/1.31 526 inverse(divide(divide(divide(A,B),C),divide(divide(D,divide(E,A)),divide(C,divide(E,B))))) = D. [para(2(a,1),85(a,1,1,1,2)),rewrite([84(12)])].
% 1.05/1.31 607 divide(A,divide(divide(B,C),divide(D,C))) = divide(A,divide(divide(B,E),divide(D,E))). [para(65(a,1),169(a,1,1))].
% 1.05/1.31 792 divide(divide(inverse(divide(divide(divide(A,A),B),divide(C,B))),divide(divide(D,E),divide(F,E))),divide(V6,divide(divide(D,V7),divide(F,V7)))) = divide(C,V6). [para(607(a,1),82(a,1,1))].
% 1.05/1.31 1087 divide(divide(A,B),inverse(divide(divide(divide(C,C),D),divide(E,divide(D,F))))) = divide(divide(A,V6),divide(inverse(divide(divide(divide(V7,V7),inverse(divide(divide(divide(V8,V8),V9),divide(F,divide(V9,B))))),E)),V6)). [para(10(a,2),62(a,1,2))].
% 1.05/1.31 1089 inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))) = divide(inverse(divide(divide(divide(E,E),inverse(divide(divide(divide(F,F),divide(V6,V7)),divide(D,divide(divide(V6,V8),divide(V9,V8)))))),C)),divide(V9,V7)). [para(62(a,1),10(a,2,1,1,1,2,1,2,2))].
% 1.05/1.31 1104 inverse(divide(divide(divide(A,A),B),C)) = divide(inverse(divide(divide(divide(D,D),inverse(divide(divide(divide(E,E),F),divide(V6,divide(F,V7))))),inverse(divide(divide(divide(V8,V9),divide(V10,V9)),divide(C,divide(divide(V10,V8),divide(B,V6))))))),V7). [para(65(a,1),10(a,1,1,2))].
% 1.05/1.31 1223 divide(divide(A,B),divide(inverse(divide(C,divide(D,divide(divide(E,inverse(divide(divide(divide(F,F),E),C))),V6)))),B)) = divide(divide(A,V6),D). [para(37(a,1),62(a,1,2)),flip(a)].
% 1.05/1.31 1316 divide(divide(divide(inverse(divide(A,B)),C),D),divide(E,D)) = divide(B,divide(E,divide(divide(F,inverse(divide(divide(divide(V6,V6),F),A))),C))). [para(52(a,1),62(a,1,1)),flip(a)].
% 1.05/1.31 1333 divide(divide(inverse(A),B),divide(divide(C,inverse(divide(divide(divide(D,D),C),divide(inverse(divide(divide(divide(E,F),divide(V6,F)),A)),V7)))),B)) = divide(divide(V6,E),V7). [para(81(a,1),52(a,1,1,1,1))].
% 1.05/1.31 1339 divide(A,divide(B,inverse(divide(divide(divide(C,C),B),divide(divide(D,D),E))))) = divide(A,E). [para(52(a,1),82(a,1)),flip(a)].
% 1.05/1.31 1351 divide(divide(A,divide(B,inverse(divide(divide(divide(C,C),B),D)))),E) = divide(divide(A,F),divide(divide(inverse(divide(D,E)),V6),divide(F,V6))). [para(52(a,1),244(a,1,2))].
% 1.05/1.31 1382 divide(divide(A,divide(B,C)),divide(D,divide(B,E))) = divide(divide(A,F),divide(divide(V6,inverse(divide(divide(divide(V7,V7),V6),divide(divide(C,E),D)))),F)). [para(526(a,1),52(a,1,1,1)),flip(a)].
% 1.05/1.31 1415 divide(A,inverse(divide(divide(divide(B,B),A),divide(divide(C,C),D)))) = D. [para(1339(a,1),15(a,1,1,1,1)),rewrite([15(7)]),flip(a)].
% 1.05/1.31 1444 divide(divide(A,B),divide(C,divide(B,inverse(divide(divide(divide(D,D),E),divide(divide(F,F),V6)))))) = divide(divide(A,E),divide(C,V6)). [para(1339(a,1),244(a,1,2)),flip(a)].
% 1.05/1.31 1493 inverse(divide(divide(divide(A,A),B),divide(C,C))) = B. [para(1415(a,1),25(a,1,1,2,1)),rewrite([1444(11)])].
% 1.05/1.31 1525 divide(A,inverse(divide(divide(divide(B,B),A),divide(divide(divide(C,D),divide(E,D)),divide(F,E))))) = divide(F,C). [para(245(a,1),1415(a,1,2,1,2))].
% 1.05/1.31 1533 divide(inverse(divide(divide(divide(A,A),inverse(divide(divide(divide(B,B),C),D))),divide(E,inverse(divide(F,divide(D,divide(inverse(divide(divide(divide(V6,V6),divide(V7,V7)),divide(divide(V8,V8),F))),divide(C,V9)))))))),V9) = E. [para(1415(a,1),9(a,1,1,1,2,2,1,1))].
% 1.05/1.31 1546 inverse(divide(divide(divide(A,A),B),divide(C,divide(B,D)))) = divide(inverse(divide(divide(divide(E,E),inverse(divide(F,divide(D,divide(inverse(divide(divide(divide(V6,V6),divide(V7,V7)),divide(divide(V8,V8),F))),V9))))),C)),V9). [para(1415(a,1),10(a,2,1,1,1,2,1,1))].
% 1.05/1.31 1557 divide(inverse(divide(divide(divide(A,A),divide(B,B)),divide(divide(C,C),D))),inverse(divide(D,divide(divide(E,E),F)))) = F. [para(1415(a,1),1415(a,1,2,1,1))].
% 1.05/1.31 1576 divide(divide(A,B),divide(inverse(divide(divide(divide(C,C),inverse(divide(divide(divide(D,D),inverse(divide(divide(divide(E,E),inverse(divide(divide(divide(F,F),V6),divide(V7,divide(V6,V8))))),divide(V9,V7)))),divide(V10,V9)))),divide(V11,V10))),B)) = divide(divide(A,V8),V11). [para(11(a,1),62(a,1,2)),flip(a)].
% 1.05/1.31 1580 divide(inverse(divide(divide(divide(A,A),inverse(divide(divide(divide(B,B),inverse(divide(divide(divide(C,C),inverse(divide(divide(divide(D,D),E),divide(F,divide(E,V6))))),divide(V7,F)))),divide(divide(V8,V9),V7)))),divide(divide(V10,V11),divide(V8,V11)))),V6) = divide(V10,V9). [para(62(a,1),11(a,1,1,1,2))].
% 1.05/1.31 1591 inverse(divide(divide(divide(A,A),inverse(divide(divide(divide(B,B),inverse(divide(divide(divide(C,C),inverse(divide(divide(divide(D,D),E),divide(F,divide(E,divide(divide(V6,V7),V8)))))),divide(V9,F)))),divide(V10,V9)))),divide(V11,V10))) = divide(inverse(divide(divide(divide(V7,V12),divide(V6,V12)),V11)),V8). [para(11(a,1),65(a,1,1,1,2)),flip(a)].
% 1.05/1.31 1596 inverse(divide(divide(divide(A,B),divide(C,B)),divide(D,divide(divide(C,A),E)))) = divide(inverse(divide(divide(divide(F,F),inverse(divide(divide(divide(V6,V6),inverse(divide(divide(divide(V7,V7),inverse(divide(divide(divide(V8,V8),V9),divide(V10,divide(V9,V11))))),divide(V12,V10)))),divide(E,V12)))),D)),V11). [para(65(a,1),11(a,1,1,1,2)),flip(a)].
% 1.05/1.31 1729 inverse(divide(A,divide(B,B))) = divide(C,inverse(divide(divide(divide(D,D),C),A))). [para(15(a,1),1493(a,1,1,1))].
% 1.05/1.31 1730 inverse(divide(divide(divide(A,B),divide(C,B)),divide(D,D))) = divide(C,A). [para(62(a,1),1493(a,1,1,1))].
% 1.05/1.31 1733 divide(divide(A,B),divide(C,B)) = divide(A,C). [para(1493(a,1),82(a,1,1,1))].
% 1.05/1.31 1736 inverse(divide(divide(divide(A,A),B),divide(C,inverse(divide(divide(D,D),C))))) = B. [para(82(a,1),1493(a,1,1,2)),rewrite([1733(6)])].
% 1.05/1.31 1741 inverse(divide(divide(A,A),B)) = B. [para(244(a,1),1493(a,1,1)),rewrite([1733(5),1733(4)])].
% 1.05/1.31 1742 inverse(divide(divide(A,B),divide(C,C))) = divide(B,A). [para(245(a,1),1493(a,1,1,1)),rewrite([1733(3),1733(3)])].
% 1.05/1.31 1744 divide(A,A) = divide(B,B). [para(1493(a,1),169(a,1,1,1)),rewrite([1733(5)])].
% 1.05/1.31 1745 divide(A,divide(B,B)) = A. [para(607(a,1),1493(a,1,1,1,1)),rewrite([1733(3),1733(4),1733(3),1742(5)])].
% 1.05/1.31 1750 divide(divide(A,inverse(divide(divide(divide(B,B),A),C))),inverse(divide(C,D))) = inverse(D). [para(52(a,1),1493(a,1,1,1)),rewrite([1745(2)]),flip(a)].
% 1.05/1.31 1751 divide(divide(A,A),B) = inverse(B). [para(1415(a,1),1493(a,1,1,1)),rewrite([1745(2),1745(4),1741(6)]),flip(a)].
% 1.05/1.31 1804 divide(inverse(divide(inverse(A),divide(B,A))),C) = divide(B,C). [back_rewrite(792),rewrite([1751(2),1733(7),1733(9),1733(9)])].
% 1.05/1.31 1858 divide(divide(A,divide(B,C)),D) = divide(A,divide(inverse(divide(inverse(B),D)),C)). [back_rewrite(240),rewrite([1751(2),1804(6),1751(5)])].
% 1.05/1.31 1877 inverse(divide(A,B)) = divide(B,A). [back_rewrite(1730),rewrite([1733(3),1745(3)])].
% 1.05/1.31 1887 divide(A,divide(divide(B,inverse(inverse(B))),C)) = divide(A,inverse(C)). [back_rewrite(1596),rewrite([1733(3),1877(6),1858(5),1877(2),1733(3),1877(2),1751(2),1751(7),1877(10),1858(9),1877(9),1751(9),1751(8),1877(7),1733(8),1877(7),1751(7),1877(6),1733(7),1877(6),1751(6),1877(5),1877(6),1858(6),1877(6)]),flip(a)].
% 1.05/1.31 1889 divide(divide(divide(A,inverse(B)),C),D) = divide(A,divide(divide(D,inverse(C)),B)). [back_rewrite(1591),rewrite([1751(5),1877(10),1858(9),1877(7),1751(9),1877(6),1751(7),1877(6),1858(5),1877(5),1858(8),1877(5),1733(6),1877(5),1877(7),1751(7),1877(6),1858(7),1877(4),1733(5),1877(4),1877(6),1751(6),1877(5),1858(6),1877(3),1733(4),1877(3),1877(5),1733(7),1877(7),1858(7),1877(7)])].
% 1.05/1.31 1890 divide(A,inverse(inverse(B))) = divide(A,B). [back_rewrite(1580),rewrite([1751(5),1877(8),1858(7),1877(7),1751(7),1751(6),1877(5),1733(6),1877(5),1751(5),1877(4),1733(6),1877(5),1751(5),1877(4),1733(6),1858(5),1877(5),1877(7),1889(6),1733(6),1858(5),1877(4),1887(6)])].
% 1.05/1.31 1891 divide(divide(A,B),C) = divide(A,divide(C,inverse(B))). [back_rewrite(1576),rewrite([1751(6),1877(9),1858(8),1877(8),1751(8),1751(7),1877(6),1733(7),1877(6),1751(6),1877(5),1733(6),1877(5),1751(5),1877(4),1733(5),1877(4),1733(5)]),flip(a)].
% 1.05/1.31 1899 divide(A,divide(B,divide(inverse(A),inverse(C)))) = divide(C,B). [back_rewrite(1525),rewrite([1751(2),1891(4),1891(4),1745(5),1891(4),1891(4),1745(5),1877(4),1891(3)])].
% 1.05/1.31 1910 divide(A,divide(B,divide(inverse(C),divide(inverse(B),divide(C,divide(D,divide(E,F))))))) = divide(A,divide(D,divide(E,F))). [back_rewrite(1382),rewrite([1891(5),1877(4),1891(4),1877(3),1891(3),1891(3),1745(4),1751(6),1891(7),1877(10),1891(9),1877(8),1891(11),1877(10),1891(9),1877(8),1891(12),1891(12),1877(11),1891(10),1877(9),1891(8),1890(8)]),flip(a)].
% 1.05/1.31 1916 divide(A,divide(B,divide(inverse(C),divide(inverse(D),C)))) = divide(A,divide(B,D)). [back_rewrite(1351),rewrite([1751(2),1877(3),1891(5),1877(4),1891(3),1890(3),1745(2),1877(5),1891(5),1891(8),1877(7),1891(7),1891(7),1745(8),1891(7),1891(7),1877(6)]),flip(a)].
% 1.05/1.31 1917 divide(inverse(A),divide(B,divide(A,divide(C,D)))) = divide(D,divide(B,inverse(C))). [back_rewrite(1333),rewrite([1751(4),1891(6),1891(6),1745(7),1891(5),1877(7),1891(6),1890(6),1891(6),1877(5),1877(8),1891(7),1877(6),1891(5),1891(10),1877(9),1891(8),1877(7),1891(6),1890(6),1891(10),1891(10),1877(9),1891(8),1877(7),1891(6),1877(5),1910(11),1891(7)])].
% 1.05/1.31 1919 divide(A,divide(B,divide(C,divide(D,divide(inverse(C),E))))) = divide(A,divide(B,divide(inverse(E),D))). [back_rewrite(1316),rewrite([1877(2),1891(2),1891(4),1877(3),1891(6),1877(5),1891(4),1891(6),1891(6),1877(5),1916(7),1751(6),1877(7),1891(8),1877(7)]),flip(a)].
% 1.05/1.31 1921 divide(A,divide(B,divide(inverse(C),divide(D,C)))) = divide(A,divide(B,inverse(D))). [back_rewrite(1223),rewrite([1751(3),1877(4),1891(5),1877(4),1919(7),1877(6),1891(5),1877(4),1891(6),1877(5),1891(4),1890(4),1745(3),1891(4),1891(4),1877(3),1891(7)])].
% 1.05/1.31 1927 divide(A,divide(B,divide(C,inverse(B)))) = divide(A,inverse(C)). [back_rewrite(1104),rewrite([1751(2),1877(3),1751(5),1877(8),1891(7),1877(6),1921(8),1751(6),1877(5),1891(7),1891(7),1745(8),1891(8),1891(8),1891(12),1891(12),1877(11),1891(10),1877(9),1917(11),1890(8),1877(10),1891(9),1877(8),1891(7),1899(9),1891(7),1891(7),1877(6),1921(8),1877(7),1891(6),1890(6),1891(6),1877(5)]),flip(a)].
% 1.05/1.32 1928 divide(A,divide(inverse(B),divide(C,B))) = divide(A,inverse(C)). [back_rewrite(1089),rewrite([1751(2),1877(5),1891(4),1877(3),1751(8),1877(7),1891(9),1891(9),1745(10),1891(9),1891(9),1877(8),1921(10),1877(9),1891(8),1890(8),1751(8),1877(7),1891(6),1891(8),1877(7),1877(9),1891(8),1877(7),1891(10),1877(9),1891(8),1890(8),1891(8),1891(8),1877(7),1921(9),1927(8)])].
% 1.05/1.32 1929 divide(A,divide(B,divide(inverse(C),divide(D,divide(C,E))))) = divide(A,divide(B,divide(inverse(E),D))). [back_rewrite(1087),rewrite([1751(3),1877(6),1891(5),1877(4),1928(5),1891(4),1891(4),1890(4),1751(8),1877(11),1891(10),1877(9),1928(10),1751(9),1877(8),1891(8),1877(10),1891(9),1890(9),1891(9),1877(8),1891(10),1891(10),1877(9),1891(8),1890(8)]),flip(a)].
% 1.05/1.32 1930 inverse(inverse(A)) = A. [back_rewrite(1736),rewrite([1751(2),1751(3),1890(4),1745(3)])].
% 1.05/1.32 1931 divide(A,A) = c_0. [new_symbol(1744)].
% 1.05/1.32 1932 divide(c_0,divide(A,B)) = divide(B,A). [back_rewrite(1742),rewrite([1931(2),1891(3),1877(5),1891(4),1930(3)])].
% 1.05/1.32 1933 divide(A,divide(B,inverse(A))) = divide(c_0,B). [back_rewrite(1729),rewrite([1931(1),1877(3),1931(3),1891(5),1932(6),1877(5)]),flip(a)].
% 1.05/1.32 1935 divide(c_0,inverse(A)) = A. [back_rewrite(1557),rewrite([1931(1),1931(2),1931(3),1931(2),1932(4),1877(3),1931(3),1877(6),1891(5),1932(6),1891(5),1891(5),1931(5),1932(5)])].
% 1.05/1.32 1937 divide(A,divide(c_0,B)) = divide(A,inverse(B)). [back_rewrite(1546),rewrite([1931(1),1891(5),1891(5),1877(4),1928(5),1932(4),1877(3),1931(3),1931(4),1931(5),1931(6),1931(5),1932(7),1877(6),1891(6),1932(7),1877(8),1891(7),1877(6),1933(6),1932(7),1891(5),1932(6),1891(5),1877(7),1891(6),1930(5),1891(6),1877(5),1933(5)]),flip(a)].
% 1.05/1.32 1938 divide(A,c_0) = A. [back_rewrite(1533),rewrite([1931(1),1931(2),1891(4),1932(5),1877(4),1932(4),1931(3),1931(4),1931(5),1931(4),1937(6),1935(5),1877(8),1891(7),1877(6),1891(5),1899(7),1891(6),1891(6),1877(5),1891(4),1929(8),1930(3),1877(5),1891(4),1877(3),1928(4),1891(3),1930(2),1931(1)])].
% 1.05/1.32 1939 divide(c_0,A) = inverse(A). [back_rewrite(1750),rewrite([1931(1),1891(3),1932(4),1877(3),1933(3),1877(4),1891(4),1891(4),1931(4),1938(3)])].
% 1.05/1.32 1946 $F # answer(prove_these_axioms_2). [back_rewrite(4),rewrite([1931(5),1939(4),1930(3)]),xx(a)].
% 1.05/1.32
% 1.05/1.32 % SZS output end Refutation
% 1.05/1.32 ============================== end of proof ==========================
% 1.05/1.32
% 1.05/1.32 ============================== STATISTICS ============================
% 1.05/1.32
% 1.05/1.32 Given=30. Generated=4885. Kept=1944. proofs=1.
% 1.05/1.32 Usable=7. Sos=102. Demods=247. Limbo=195, Disabled=1643. Hints=0.
% 1.05/1.32 Megabytes=4.00.
% 1.05/1.32 User_CPU=0.32, System_CPU=0.01, Wall_clock=0.
% 1.05/1.32
% 1.05/1.32 ============================== end of statistics =====================
% 1.05/1.32
% 1.05/1.32 ============================== end of search =========================
% 1.05/1.32
% 1.05/1.32 THEOREM PROVED
% 1.05/1.32 % SZS status Unsatisfiable
% 1.05/1.32
% 1.05/1.32 Exiting with 1 proof.
% 1.05/1.32
% 1.05/1.32 Process 28833 exit (max_proofs) Tue Jun 14 09:23:22 2022
% 1.05/1.32 Prover9 interrupted
%------------------------------------------------------------------------------