TSTP Solution File: GRP476-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP476-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 11:19:15 EDT 2022
% Result : Unsatisfiable 0.54s 1.00s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP476-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 600
% 0.11/0.29 % DateTime : Mon Jun 13 18:48:12 EDT 2022
% 0.11/0.29 % CPUTime :
% 0.54/1.00 ============================== Prover9 ===============================
% 0.54/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.54/1.00 Process 18354 was started by sandbox2 on n032.cluster.edu,
% 0.54/1.00 Mon Jun 13 18:48:12 2022
% 0.54/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_18201_n032.cluster.edu".
% 0.54/1.00 ============================== end of head ===========================
% 0.54/1.00
% 0.54/1.00 ============================== INPUT =================================
% 0.54/1.00
% 0.54/1.00 % Reading from file /tmp/Prover9_18201_n032.cluster.edu
% 0.54/1.00
% 0.54/1.00 set(prolog_style_variables).
% 0.54/1.00 set(auto2).
% 0.54/1.00 % set(auto2) -> set(auto).
% 0.54/1.00 % set(auto) -> set(auto_inference).
% 0.54/1.00 % set(auto) -> set(auto_setup).
% 0.54/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.54/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.54/1.00 % set(auto) -> set(auto_limits).
% 0.54/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.54/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.54/1.00 % set(auto) -> set(auto_denials).
% 0.54/1.00 % set(auto) -> set(auto_process).
% 0.54/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.54/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.54/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.54/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.54/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.54/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.54/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.54/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.54/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.54/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.54/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.54/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.54/1.00 % set(auto2) -> assign(stats, some).
% 0.54/1.00 % set(auto2) -> clear(echo_input).
% 0.54/1.00 % set(auto2) -> set(quiet).
% 0.54/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.54/1.00 % set(auto2) -> clear(print_given).
% 0.54/1.00 assign(lrs_ticks,-1).
% 0.54/1.00 assign(sos_limit,10000).
% 0.54/1.00 assign(order,kbo).
% 0.54/1.00 set(lex_order_vars).
% 0.54/1.00 clear(print_given).
% 0.54/1.00
% 0.54/1.00 % formulas(sos). % not echoed (3 formulas)
% 0.54/1.00
% 0.54/1.00 ============================== end of input ==========================
% 0.54/1.00
% 0.54/1.00 % From the command line: assign(max_seconds, 300).
% 0.54/1.00
% 0.54/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.54/1.00
% 0.54/1.00 % Formulas that are not ordinary clauses:
% 0.54/1.00
% 0.54/1.00 ============================== end of process non-clausal formulas ===
% 0.54/1.00
% 0.54/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.54/1.00
% 0.54/1.00 ============================== PREDICATE ELIMINATION =================
% 0.54/1.00
% 0.54/1.00 ============================== end predicate elimination =============
% 0.54/1.00
% 0.54/1.00 Auto_denials:
% 0.54/1.00 % copying label prove_these_axioms_2 to answer in negative clause
% 0.54/1.00
% 0.54/1.00 Term ordering decisions:
% 0.54/1.00
% 0.54/1.00 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 0.54/1.00 Function symbol KB weights: a2=1. b2=1. divide=1. multiply=1. inverse=0.
% 0.54/1.00
% 0.54/1.00 ============================== end of process initial clauses ========
% 0.54/1.00
% 0.54/1.00 ============================== CLAUSES FOR SEARCH ====================
% 0.54/1.00
% 0.54/1.00 ============================== end of clauses for search =============
% 0.54/1.00
% 0.54/1.00 ============================== SEARCH ================================
% 0.54/1.00
% 0.54/1.00 % Starting search at 0.01 seconds.
% 0.54/1.00
% 0.54/1.00 ============================== PROOF =================================
% 0.54/1.00 % SZS status Unsatisfiable
% 0.54/1.00 % SZS output start Refutation
% 0.54/1.00
% 0.54/1.00 % Proof 1 at 0.20 (+ 0.01) seconds: prove_these_axioms_2.
% 0.54/1.00 % Length of proof is 81.
% 0.54/1.00 % Level of proof is 24.
% 0.54/1.00 % Maximum clause weight is 52.000.
% 0.54/1.00 % Given clauses 30.
% 0.54/1.00
% 0.54/1.00 1 multiply(A,B) = divide(A,inverse(B)) # label(multiply) # label(axiom). [assumption].
% 0.54/1.00 2 divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D # label(single_axiom) # label(axiom). [assumption].
% 0.54/1.00 3 multiply(multiply(inverse(b2),b2),a2) != a2 # label(prove_these_axioms_2) # label(negated_conjecture) # answer(prove_these_axioms_2). [assumption].
% 0.54/1.00 4 divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2 # answer(prove_these_axioms_2). [copy(3),rewrite([1(4),1(7)])].
% 0.54/1.00 5 divide(inverse(divide(divide(A,B),divide(C,B))),divide(divide(D,E),inverse(divide(divide(divide(E,D),F),divide(A,F))))) = C. [para(2(a,1),2(a,1,1,1,1,1))].
% 0.54/1.00 6 inverse(divide(divide(divide(A,B),C),divide(D,C))) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),D)),divide(F,E)). [para(2(a,1),2(a,1,1,1,2)),flip(a)].
% 0.54/1.00 7 divide(inverse(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))),E),divide(F,E))),D) = F. [para(2(a,1),2(a,1,2))].
% 0.54/1.00 8 divide(inverse(divide(divide(A,B),divide(C,B))),divide(divide(divide(D,E),inverse(divide(divide(divide(E,D),F),divide(V6,F)))),inverse(divide(divide(V6,V7),divide(A,V7))))) = C. [para(5(a,1),2(a,1,1,1,1,1))].
% 0.54/1.00 10 divide(inverse(divide(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))),inverse(divide(divide(D,E),divide(F,E)))),V6),divide(V7,V6))),F) = V7. [para(5(a,1),2(a,1,2))].
% 0.54/1.00 21 divide(divide(inverse(divide(divide(divide(A,B),divide(C,D)),E)),divide(B,A)),divide(C,D)) = E. [para(6(a,1),2(a,1,1))].
% 0.54/1.00 24 inverse(divide(divide(divide(A,B),C),divide(divide(D,divide(B,A)),C))) = D. [para(6(a,2),2(a,1))].
% 0.54/1.00 37 inverse(divide(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))),inverse(divide(divide(D,E),divide(F,E)))),V6),divide(V7,V6))) = divide(inverse(divide(divide(divide(V8,V9),F),V7)),divide(V9,V8)). [para(5(a,1),6(a,2,1,1,1,2))].
% 0.54/1.00 50 inverse(divide(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))),inverse(divide(divide(D,E),divide(F,E)))),V6),divide(divide(V7,F),V6))) = V7. [para(5(a,1),24(a,1,1,2,1,2))].
% 0.54/1.00 51 inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(divide(A,D),divide(C,D))). [para(5(a,1),24(a,1,1,2,1)),rewrite([2(7)])].
% 0.54/1.00 56 divide(A,inverse(divide(divide(B,C),divide(D,C)))) = divide(A,inverse(divide(divide(B,E),divide(D,E)))). [para(51(a,1),1(a,2,2)),rewrite([1(4)])].
% 0.54/1.00 57 inverse(divide(divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),E),divide(F,E))) = inverse(divide(D,divide(F,divide(B,A)))). [para(2(a,1),51(a,1,1,1)),flip(a)].
% 0.54/1.00 58 inverse(divide(divide(A,B),divide(inverse(divide(divide(divide(C,D),E),divide(F,E))),B))) = inverse(divide(divide(A,divide(D,C)),F)). [para(2(a,1),51(a,1,1,2)),flip(a)].
% 0.54/1.00 68 divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),C) = D. [para(2(a,1),21(a,1,1,1,1,1,2)),rewrite([2(13)])].
% 0.54/1.00 91 inverse(divide(divide(inverse(divide(divide(divide(A,B),divide(C,divide(B,A))),D)),E),divide(C,E))) = inverse(D). [para(21(a,1),51(a,1,1)),flip(a)].
% 0.54/1.00 96 divide(inverse(divide(A,divide(B,C))),divide(divide(D,E),inverse(divide(divide(divide(E,D),C),A)))) = B. [para(7(a,1),5(a,1,1,1,1)),rewrite([58(20),2(12)])].
% 0.54/1.00 132 divide(inverse(divide(divide(divide(A,B),divide(divide(C,D),inverse(divide(divide(divide(D,C),E),F)))),V6)),divide(B,A)) = inverse(divide(F,divide(V6,E))). [para(68(a,1),6(a,1,1,1)),flip(a)].
% 0.54/1.00 140 inverse(divide(A,divide(divide(B,divide(divide(C,D),inverse(divide(divide(divide(D,C),E),A)))),E))) = B. [para(68(a,1),24(a,1,1,1))].
% 0.54/1.00 152 divide(divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(divide(divide(D,C),E),A)))),E) = B. [para(68(a,1),68(a,1,1,1,1,1))].
% 0.54/1.00 157 divide(inverse(divide(divide(A,inverse(divide(divide(B,C),divide(D,C)))),divide(E,inverse(divide(divide(B,F),divide(D,F)))))),divide(divide(V6,V7),inverse(divide(divide(divide(V7,V6),V8),divide(A,V8))))) = E. [para(56(a,1),5(a,1,1,1,1))].
% 0.54/1.01 199 inverse(divide(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),D))),inverse(divide(D,divide(E,C)))),F),divide(V6,F))) = divide(inverse(divide(divide(divide(V7,V8),E),V6)),divide(V8,V7)). [para(96(a,1),6(a,2,1,1,1,2))].
% 0.54/1.01 285 inverse(divide(divide(inverse(divide(divide(A,B),divide(C,B))),D),divide(E,D))) = inverse(divide(C,divide(E,divide(divide(divide(F,V6),inverse(divide(divide(divide(V6,F),V7),divide(V8,V7)))),inverse(divide(divide(V8,V9),divide(A,V9))))))). [para(8(a,1),51(a,1,1,1)),flip(a)].
% 0.54/1.01 340 divide(divide(inverse(A),divide(divide(B,C),inverse(divide(divide(divide(C,B),D),inverse(divide(divide(E,F),divide(A,F))))))),D) = divide(divide(V6,V7),inverse(divide(divide(divide(V7,V6),V8),divide(E,V8)))). [para(5(a,1),152(a,1,1,1,1))].
% 0.54/1.01 380 divide(divide(inverse(A),divide(divide(B,C),inverse(divide(divide(divide(C,B),D),inverse(divide(E,divide(A,F))))))),D) = divide(divide(V6,V7),inverse(divide(divide(divide(V7,V6),F),E))). [para(96(a,1),152(a,1,1,1,1))].
% 0.54/1.01 403 inverse(divide(divide(inverse(divide(divide(A,B),C)),D),divide(inverse(divide(divide(A,E),divide(B,E))),D))) = inverse(C). [para(5(a,1),91(a,1,1,1,1,1,1,2)),rewrite([2(7)])].
% 0.54/1.01 453 inverse(divide(divide(inverse(divide(A,B)),C),divide(inverse(divide(A,divide(D,D))),C))) = inverse(B). [para(7(a,1),403(a,1,1,1,1,1,1)),rewrite([57(18),2(10)])].
% 0.54/1.01 487 inverse(divide(divide(A,B),divide(C,B))) = divide(inverse(divide(divide(divide(D,E),divide(F,inverse(divide(divide(divide(divide(divide(V6,V7),inverse(divide(divide(divide(V7,V6),V8),divide(V9,V8)))),inverse(divide(divide(V9,V10),divide(F,V10)))),V11),divide(A,V11))))),C)),divide(E,D)). [para(10(a,1),6(a,1,1,1,1))].
% 0.54/1.01 520 divide(inverse(divide(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))),inverse(divide(divide(D,E),divide(F,E)))),inverse(divide(divide(V6,V7),divide(V8,V7)))),divide(V9,inverse(divide(divide(V6,V10),divide(V8,V10)))))),F) = V9. [para(56(a,1),10(a,1,1,1,1))].
% 0.54/1.01 521 inverse(divide(divide(divide(divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))),inverse(divide(divide(D,E),divide(F,E)))),V6),divide(V7,V6))) = divide(inverse(divide(V8,V7)),divide(divide(V9,V10),inverse(divide(divide(divide(V10,V9),F),V8)))). [para(10(a,1),96(a,1,1,1,2)),flip(a)].
% 0.54/1.01 562 inverse(divide(A,divide(inverse(divide(divide(divide(B,C),D),divide(E,E))),divide(C,B)))) = inverse(divide(A,D)). [para(2(a,1),453(a,1,1,1))].
% 0.54/1.01 590 inverse(divide(divide(inverse(divide(divide(inverse(divide(A,B)),inverse(divide(A,divide(C,C)))),D)),E),divide(inverse(B),E))) = inverse(D). [para(453(a,1),403(a,1,1,2,1))].
% 0.54/1.01 596 inverse(divide(divide(divide(A,B),C),divide(D,D))) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),C)),divide(F,E)). [para(562(a,1),2(a,1,1)),flip(a)].
% 0.54/1.01 610 divide(inverse(divide(divide(divide(A,B),C),divide(D,D))),divide(B,A)) = C. [para(562(a,1),68(a,1,1,1)),rewrite([68(7)]),flip(a)].
% 0.54/1.01 643 inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(divide(D,D),divide(C,A))). [para(610(a,1),6(a,1,1,1,1)),rewrite([132(17)])].
% 0.54/1.01 647 inverse(divide(divide(divide(A,B),C),divide(divide(D,D),C))) = divide(B,A). [para(610(a,1),6(a,2))].
% 0.54/1.01 652 inverse(divide(divide(divide(A,B),C),divide(D,D))) = inverse(divide(divide(divide(A,B),E),divide(C,E))). [para(610(a,1),24(a,1,1,2,1)),flip(a)].
% 0.54/1.01 660 divide(A,A) = divide(B,B). [para(610(a,1),68(a,1,1))].
% 0.54/1.01 662 divide(inverse(divide(A,divide(B,B))),divide(divide(C,D),inverse(divide(divide(divide(D,C),E),A)))) = E. [para(68(a,1),610(a,1,1,1,1))].
% 0.54/1.01 698 divide(A,A) = c_0. [new_symbol(660)].
% 0.54/1.01 745 divide(inverse(divide(A,c_0)),divide(divide(B,C),inverse(divide(divide(divide(C,B),D),A)))) = D. [back_rewrite(662),rewrite([698(1)])].
% 0.54/1.01 754 inverse(divide(divide(divide(A,B),C),divide(D,C))) = inverse(divide(divide(divide(A,B),D),c_0)). [back_rewrite(652),rewrite([698(3)]),flip(a)].
% 0.54/1.01 759 inverse(divide(divide(divide(A,B),c_0),c_0)) = divide(B,A). [back_rewrite(647),rewrite([698(3),754(6)])].
% 0.54/1.01 763 inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(c_0,divide(C,A))). [back_rewrite(643),rewrite([698(5)])].
% 0.54/1.01 784 divide(inverse(divide(divide(divide(A,B),divide(C,D)),E)),divide(B,A)) = inverse(divide(divide(divide(D,C),E),c_0)). [back_rewrite(596),rewrite([698(3)]),flip(a)].
% 0.54/1.01 789 inverse(divide(c_0,divide(inverse(A),inverse(divide(divide(inverse(divide(B,A)),inverse(divide(B,c_0))),C))))) = inverse(C). [back_rewrite(590),rewrite([698(3),763(13)])].
% 0.54/1.01 809 divide(c_0,inverse(a2)) != a2 # answer(prove_these_axioms_2). [back_rewrite(4),rewrite([698(5)])].
% 0.54/1.01 863 inverse(divide(c_0,divide(A,divide(divide(divide(B,C),inverse(divide(c_0,divide(D,divide(C,B))))),inverse(divide(c_0,divide(E,D))))))) = divide(inverse(divide(F,A)),divide(divide(V6,V7),inverse(divide(divide(divide(V7,V6),E),F)))). [back_rewrite(521),rewrite([763(6),763(11),763(16)])].
% 0.54/1.01 864 divide(inverse(divide(c_0,divide(A,divide(divide(divide(B,C),inverse(divide(c_0,divide(D,divide(C,B))))),inverse(divide(c_0,divide(E,D))))))),E) = A. [back_rewrite(520),rewrite([763(6),763(11),763(16),763(21),763(24)])].
% 0.54/1.01 892 inverse(divide(divide(A,B),c_0)) = inverse(divide(c_0,divide(B,A))). [back_rewrite(487),rewrite([763(4),763(11),763(16),763(21),784(27),864(21)]),flip(a)].
% 0.54/1.01 958 divide(divide(inverse(A),divide(divide(B,C),inverse(divide(divide(divide(C,B),D),inverse(divide(c_0,divide(A,E))))))),D) = divide(divide(F,V6),inverse(divide(c_0,divide(E,divide(V6,F))))). [back_rewrite(340),rewrite([763(8),763(19)])].
% 0.54/1.01 1000 inverse(divide(A,divide(B,divide(divide(divide(C,D),inverse(divide(c_0,divide(E,divide(D,C))))),inverse(divide(c_0,divide(F,E))))))) = inverse(divide(c_0,divide(B,inverse(divide(c_0,divide(A,F)))))). [back_rewrite(285),rewrite([763(4),763(8),763(14),763(19)]),flip(a)].
% 0.54/1.01 1046 inverse(divide(c_0,divide(A,divide(divide(divide(B,C),inverse(divide(divide(divide(C,B),D),E))),inverse(divide(E,divide(F,D))))))) = divide(inverse(divide(divide(divide(V6,V7),F),A)),divide(V7,V6)). [back_rewrite(199),rewrite([763(14)])].
% 0.54/1.01 1063 divide(inverse(divide(c_0,divide(A,B))),divide(divide(C,D),inverse(divide(c_0,divide(B,divide(D,C)))))) = A. [back_rewrite(157),rewrite([763(4),763(9),763(12),763(10)])].
% 0.54/1.01 1109 inverse(divide(c_0,divide(divide(A,B),inverse(divide(c_0,divide(c_0,B)))))) = A. [back_rewrite(50),rewrite([763(6),763(11),763(17),1000(17)])].
% 0.54/1.01 1116 divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)) = inverse(divide(c_0,divide(D,inverse(divide(c_0,divide(c_0,C)))))). [back_rewrite(37),rewrite([763(6),763(11),763(16),1000(16)]),flip(a)].
% 0.54/1.01 1176 inverse(divide(c_0,divide(c_0,divide(A,B)))) = divide(B,A). [back_rewrite(759),rewrite([892(6)])].
% 0.54/1.01 1189 divide(inverse(divide(A,B)),divide(divide(C,D),inverse(divide(divide(divide(D,C),E),A)))) = inverse(divide(c_0,divide(B,inverse(divide(c_0,divide(c_0,E)))))). [back_rewrite(863),rewrite([1000(16)]),flip(a)].
% 0.54/1.01 1194 inverse(divide(c_0,divide(A,divide(divide(divide(B,C),inverse(divide(divide(divide(C,B),D),E))),inverse(divide(E,divide(F,D))))))) = inverse(divide(c_0,divide(A,inverse(divide(c_0,divide(c_0,F)))))). [back_rewrite(1046),rewrite([1116(20)])].
% 0.54/1.01 1202 inverse(divide(c_0,divide(c_0,inverse(divide(c_0,divide(c_0,A)))))) = A. [back_rewrite(745),rewrite([1189(10)])].
% 0.54/1.01 1206 divide(divide(A,B),inverse(divide(divide(divide(B,A),C),D))) = inverse(divide(D,divide(c_0,C))). [para(698(a,1),140(a,1,1,2,1)),flip(a)].
% 0.54/1.01 1207 inverse(divide(c_0,divide(A,divide(inverse(divide(B,divide(c_0,C))),inverse(divide(B,divide(D,C))))))) = inverse(divide(c_0,divide(A,inverse(divide(c_0,divide(c_0,D)))))). [back_rewrite(1194),rewrite([1206(7)])].
% 0.54/1.01 1238 divide(divide(inverse(A),inverse(divide(inverse(divide(c_0,divide(A,B))),divide(c_0,C)))),C) = divide(divide(D,E),inverse(divide(c_0,divide(B,divide(E,D))))). [back_rewrite(958),rewrite([1206(11)])].
% 0.54/1.01 1258 divide(divide(inverse(A),inverse(divide(inverse(divide(B,divide(A,C))),divide(c_0,D)))),D) = inverse(divide(B,divide(c_0,C))). [back_rewrite(380),rewrite([1206(10),1206(16)])].
% 0.54/1.01 1275 divide(divide(A,B),inverse(divide(c_0,divide(C,divide(B,A))))) = inverse(divide(c_0,divide(c_0,C))). [back_rewrite(1238),rewrite([1258(11)]),flip(a)].
% 0.54/1.01 1309 divide(inverse(divide(c_0,divide(A,B))),inverse(divide(c_0,divide(c_0,B)))) = A. [back_rewrite(1063),rewrite([1275(11)])].
% 0.54/1.01 1324 inverse(c_0) = c_0. [para(698(a,1),1176(a,1,1,2,2)),rewrite([698(4),698(3),698(3)])].
% 0.54/1.01 1328 inverse(divide(c_0,divide(c_0,inverse(divide(c_0,A))))) = inverse(A). [para(698(a,1),789(a,1,1,2,2,1,1)),rewrite([1324(3)])].
% 0.54/1.01 1338 inverse(divide(c_0,A)) = A. [para(1202(a,1),789(a,2)),rewrite([789(22),1328(10)])].
% 0.54/1.01 1342 divide(c_0,divide(c_0,A)) = A. [back_rewrite(1202),rewrite([1338(7),1338(7)])].
% 0.54/1.01 1368 divide(divide(A,B),inverse(B)) = A. [back_rewrite(1309),rewrite([1338(4),1342(5)])].
% 0.54/1.01 1416 divide(A,divide(inverse(divide(B,divide(c_0,C))),inverse(divide(B,divide(D,C))))) = divide(A,inverse(D)). [back_rewrite(1207),rewrite([1338(12),1342(14),1338(14)])].
% 0.54/1.01 1434 inverse(divide(A,B)) = divide(B,A). [back_rewrite(1176),rewrite([1342(5)])].
% 0.54/1.01 1454 divide(A,c_0) = A. [back_rewrite(1109),rewrite([1342(6),1368(4),1434(3)])].
% 0.54/1.01 1458 divide(divide(A,B),divide(C,B)) = divide(A,C). [back_rewrite(763),rewrite([1434(4),1434(7),1454(6)])].
% 0.54/1.01 1470 divide(A,divide(c_0,B)) = divide(A,inverse(B)). [back_rewrite(1416),rewrite([1434(4),1434(6),1458(6),1458(4)])].
% 0.54/1.01 1486 divide(c_0,inverse(A)) = A. [back_rewrite(1342),rewrite([1470(4)])].
% 0.54/1.01 1487 $F # answer(prove_these_axioms_2). [resolve(1486,a,809,a)].
% 0.54/1.01
% 0.54/1.01 % SZS output end Refutation
% 0.54/1.01 ============================== end of proof ==========================
% 0.54/1.01
% 0.54/1.01 ============================== STATISTICS ============================
% 0.54/1.01
% 0.54/1.01 Given=30. Generated=2785. Kept=1485. proofs=1.
% 0.54/1.01 Usable=4. Sos=13. Demods=32. Limbo=16, Disabled=1454. Hints=0.
% 0.54/1.01 Megabytes=2.25.
% 0.54/1.01 User_CPU=0.20, System_CPU=0.01, Wall_clock=0.
% 0.54/1.01
% 0.54/1.01 ============================== end of statistics =====================
% 0.54/1.01
% 0.54/1.01 ============================== end of search =========================
% 0.54/1.01
% 0.54/1.01 THEOREM PROVED
% 0.54/1.01 % SZS status Unsatisfiable
% 0.54/1.01
% 0.54/1.01 Exiting with 1 proof.
% 0.54/1.01
% 0.54/1.01 Process 18354 exit (max_proofs) Mon Jun 13 18:48:12 2022
% 0.54/1.01 Prover9 interrupted
%------------------------------------------------------------------------------