TSTP Solution File: GRP477-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP477-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 0.98s 1.25s
% Output : Refutation 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP477-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n018.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 23:36:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.98/1.25 ============================== Prover9 ===============================
% 0.98/1.25 Prover9 (32) version 2009-11A, November 2009.
% 0.98/1.25 Process 18545 was started by sandbox2 on n018.cluster.edu,
% 0.98/1.25 Mon Jun 13 23:36:13 2022
% 0.98/1.25 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_18392_n018.cluster.edu".
% 0.98/1.25 ============================== end of head ===========================
% 0.98/1.25
% 0.98/1.25 ============================== INPUT =================================
% 0.98/1.25
% 0.98/1.25 % Reading from file /tmp/Prover9_18392_n018.cluster.edu
% 0.98/1.25
% 0.98/1.25 set(prolog_style_variables).
% 0.98/1.25 set(auto2).
% 0.98/1.25 % set(auto2) -> set(auto).
% 0.98/1.25 % set(auto) -> set(auto_inference).
% 0.98/1.25 % set(auto) -> set(auto_setup).
% 0.98/1.25 % set(auto_setup) -> set(predicate_elim).
% 0.98/1.25 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.98/1.25 % set(auto) -> set(auto_limits).
% 0.98/1.25 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.98/1.25 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.98/1.25 % set(auto) -> set(auto_denials).
% 0.98/1.25 % set(auto) -> set(auto_process).
% 0.98/1.25 % set(auto2) -> assign(new_constants, 1).
% 0.98/1.25 % set(auto2) -> assign(fold_denial_max, 3).
% 0.98/1.25 % set(auto2) -> assign(max_weight, "200.000").
% 0.98/1.25 % set(auto2) -> assign(max_hours, 1).
% 0.98/1.25 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.98/1.25 % set(auto2) -> assign(max_seconds, 0).
% 0.98/1.25 % set(auto2) -> assign(max_minutes, 5).
% 0.98/1.25 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.98/1.25 % set(auto2) -> set(sort_initial_sos).
% 0.98/1.25 % set(auto2) -> assign(sos_limit, -1).
% 0.98/1.25 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.98/1.25 % set(auto2) -> assign(max_megs, 400).
% 0.98/1.25 % set(auto2) -> assign(stats, some).
% 0.98/1.25 % set(auto2) -> clear(echo_input).
% 0.98/1.25 % set(auto2) -> set(quiet).
% 0.98/1.25 % set(auto2) -> clear(print_initial_clauses).
% 0.98/1.25 % set(auto2) -> clear(print_given).
% 0.98/1.25 assign(lrs_ticks,-1).
% 0.98/1.25 assign(sos_limit,10000).
% 0.98/1.25 assign(order,kbo).
% 0.98/1.25 set(lex_order_vars).
% 0.98/1.25 clear(print_given).
% 0.98/1.25
% 0.98/1.25 % formulas(sos). % not echoed (3 formulas)
% 0.98/1.25
% 0.98/1.25 ============================== end of input ==========================
% 0.98/1.25
% 0.98/1.25 % From the command line: assign(max_seconds, 300).
% 0.98/1.25
% 0.98/1.25 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.98/1.25
% 0.98/1.25 % Formulas that are not ordinary clauses:
% 0.98/1.25
% 0.98/1.25 ============================== end of process non-clausal formulas ===
% 0.98/1.25
% 0.98/1.25 ============================== PROCESS INITIAL CLAUSES ===============
% 0.98/1.25
% 0.98/1.25 ============================== PREDICATE ELIMINATION =================
% 0.98/1.25
% 0.98/1.25 ============================== end predicate elimination =============
% 0.98/1.25
% 0.98/1.25 Auto_denials:
% 0.98/1.25 % copying label prove_these_axioms_3 to answer in negative clause
% 0.98/1.25
% 0.98/1.25 Term ordering decisions:
% 0.98/1.25
% 0.98/1.25 % Assigning unary symbol inverse kb_weight 0 and highest precedence (7).
% 0.98/1.25 Function symbol KB weights: a3=1. b3=1. c3=1. divide=1. multiply=1. inverse=0.
% 0.98/1.25
% 0.98/1.25 ============================== end of process initial clauses ========
% 0.98/1.25
% 0.98/1.25 ============================== CLAUSES FOR SEARCH ====================
% 0.98/1.25
% 0.98/1.25 ============================== end of clauses for search =============
% 0.98/1.25
% 0.98/1.25 ============================== SEARCH ================================
% 0.98/1.25
% 0.98/1.25 % Starting search at 0.01 seconds.
% 0.98/1.25
% 0.98/1.25 ============================== PROOF =================================
% 0.98/1.25 % SZS status Unsatisfiable
% 0.98/1.25 % SZS output start Refutation
% 0.98/1.25
% 0.98/1.25 % Proof 1 at 0.26 (+ 0.01) seconds: prove_these_axioms_3.
% 0.98/1.25 % Length of proof is 77.
% 0.98/1.25 % Level of proof is 22.
% 0.98/1.25 % Maximum clause weight is 52.000.
% 0.98/1.25 % Given clauses 29.
% 0.98/1.25
% 0.98/1.25 1 multiply(A,B) = divide(A,inverse(B)) # label(multiply) # label(axiom). [assumption].
% 0.98/1.25 2 divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D # label(single_axiom) # label(axiom). [assumption].
% 0.98/1.25 3 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) # label(prove_these_axioms_3) # label(negated_conjecture) # answer(prove_these_axioms_3). [assumption].
% 0.98/1.25 4 divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) # answer(prove_these_axioms_3). [copy(3),rewrite([1(3),1(6),1(11),1(13)])].
% 0.98/1.25 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))].
% 0.98/1.25 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)].
% 0.98/1.25 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))].
% 0.98/1.25 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))].
% 0.98/1.25 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))].
% 0.98/1.25 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))].
% 0.98/1.25 24 inverse(divide(divide(divide(A,B),C),divide(divide(D,divide(B,A)),C))) = D. [para(6(a,2),2(a,1))].
% 0.98/1.25 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))].
% 0.98/1.25 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))].
% 0.98/1.25 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)])].
% 0.98/1.25 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)])].
% 0.98/1.25 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)].
% 0.98/1.25 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)].
% 0.98/1.25 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)])].
% 0.98/1.25 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)].
% 0.98/1.25 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)])].
% 0.98/1.25 132 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)].
% 0.98/1.25 140 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))].
% 0.98/1.25 143 inverse(divide(divide(A,B),divide(divide(inverse(divide(divide(divide(C,D),E),F)),divide(D,C)),B))) = inverse(divide(divide(A,E),F)). [para(68(a,1),51(a,1,1,2)),flip(a)].
% 0.98/1.25 152 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))].
% 0.98/1.25 157 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))].
% 0.98/1.25 285 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)].
% 0.98/1.25 340 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))].
% 0.98/1.25 380 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))].
% 0.98/1.25 403 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)])].
% 0.98/1.25 453 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)])].
% 0.98/1.25 487 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))].
% 0.98/1.25 520 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))].
% 0.98/1.25 521 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)].
% 0.98/1.25 562 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))].
% 0.98/1.25 590 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))].
% 0.98/1.25 596 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)].
% 0.98/1.25 610 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)].
% 0.98/1.25 643 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)])].
% 0.98/1.25 647 inverse(divide(divide(divide(A,B),C),divide(divide(D,D),C))) = divide(B,A). [para(610(a,1),6(a,2))].
% 0.98/1.25 652 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)].
% 0.98/1.25 660 divide(A,A) = divide(B,B). [para(610(a,1),68(a,1,1))].
% 0.98/1.25 662 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))].
% 0.98/1.25 698 divide(A,A) = c_0. [new_symbol(660)].
% 0.98/1.25 745 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)])].
% 0.98/1.25 754 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)].
% 0.98/1.25 759 inverse(divide(divide(divide(A,B),c_0),c_0)) = divide(B,A). [back_rewrite(647),rewrite([698(3),754(6)])].
% 0.98/1.25 763 inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(c_0,divide(C,A))). [back_rewrite(643),rewrite([698(5)])].
% 0.98/1.25 784 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)].
% 0.98/1.25 789 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)])].
% 0.98/1.25 862 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)])].
% 0.98/1.25 863 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)])].
% 0.98/1.25 891 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),863(21)]),flip(a)].
% 0.98/1.25 957 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)])].
% 0.98/1.25 999 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)].
% 0.98/1.25 1062 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)])].
% 0.98/1.25 1108 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),999(17)])].
% 0.98/1.25 1115 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),999(16)]),flip(a)].
% 0.98/1.25 1162 inverse(divide(c_0,divide(inverse(divide(c_0,divide(A,inverse(divide(c_0,divide(c_0,B)))))),C))) = inverse(divide(divide(C,B),A)). [back_rewrite(143),rewrite([1115(7),763(13)])].
% 0.98/1.25 1175 inverse(divide(c_0,divide(c_0,divide(A,B)))) = divide(B,A). [back_rewrite(759),rewrite([891(6)])].
% 0.98/1.25 1188 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(862),rewrite([999(16)]),flip(a)].
% 0.98/1.25 1201 inverse(divide(c_0,divide(c_0,inverse(divide(c_0,divide(c_0,A)))))) = A. [back_rewrite(745),rewrite([1188(10)])].
% 0.98/1.25 1205 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)].
% 0.98/1.25 1237 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(957),rewrite([1205(11)])].
% 0.98/1.25 1257 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([1205(10),1205(16)])].
% 0.98/1.25 1274 divide(divide(A,B),inverse(divide(c_0,divide(C,divide(B,A))))) = inverse(divide(c_0,divide(c_0,C))). [back_rewrite(1237),rewrite([1257(11)]),flip(a)].
% 0.98/1.25 1308 divide(inverse(divide(c_0,divide(A,B))),inverse(divide(c_0,divide(c_0,B)))) = A. [back_rewrite(1062),rewrite([1274(11)])].
% 0.98/1.25 1323 inverse(c_0) = c_0. [para(698(a,1),1175(a,1,1,2,2)),rewrite([698(4),698(3),698(3)])].
% 0.98/1.25 1327 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([1323(3)])].
% 0.98/1.25 1337 inverse(divide(c_0,A)) = A. [para(1201(a,1),789(a,2)),rewrite([789(22),1327(10)])].
% 0.98/1.25 1341 divide(c_0,divide(c_0,A)) = A. [back_rewrite(1201),rewrite([1337(7),1337(7)])].
% 0.98/1.25 1367 divide(divide(A,B),inverse(B)) = A. [back_rewrite(1308),rewrite([1337(4),1341(5)])].
% 0.98/1.25 1433 inverse(divide(A,B)) = divide(B,A). [back_rewrite(1175),rewrite([1341(5)])].
% 0.98/1.25 1438 divide(divide(divide(divide(A,inverse(B)),c_0),C),c_0) = divide(A,divide(C,B)). [back_rewrite(1162),rewrite([1341(6),1433(6),1433(8),1433(10)])].
% 0.98/1.25 1453 divide(A,c_0) = A. [back_rewrite(1108),rewrite([1341(6),1367(4),1433(3)])].
% 0.98/1.25 1482 divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)) # answer(prove_these_axioms_3). [back_rewrite(4),rewrite([1433(13)])].
% 0.98/1.25 1483 divide(divide(A,inverse(B)),C) = divide(A,divide(C,B)). [back_rewrite(1438),rewrite([1453(4),1453(5)])].
% 0.98/1.25 1484 $F # answer(prove_these_axioms_3). [resolve(1483,a,1482,a)].
% 0.98/1.25
% 0.98/1.25 % SZS output end Refutation
% 0.98/1.25 ============================== end of proof ==========================
% 0.98/1.25
% 0.98/1.25 ============================== STATISTICS ============================
% 0.98/1.25
% 0.98/1.25 Given=29. Generated=2772. Kept=1482. proofs=1.
% 0.98/1.25 Usable=3. Sos=11. Demods=43. Limbo=30, Disabled=1440. Hints=0.
% 0.98/1.25 Megabytes=2.25.
% 0.98/1.25 User_CPU=0.26, System_CPU=0.01, Wall_clock=1.
% 0.98/1.25
% 0.98/1.25 ============================== end of statistics =====================
% 0.98/1.25
% 0.98/1.25 ============================== end of search =========================
% 0.98/1.25
% 0.98/1.25 THEOREM PROVED
% 0.98/1.25 % SZS status Unsatisfiable
% 0.98/1.25
% 0.98/1.25 Exiting with 1 proof.
% 0.98/1.25
% 0.98/1.25 Process 18545 exit (max_proofs) Mon Jun 13 23:36:14 2022
% 0.98/1.25 Prover9 interrupted
%------------------------------------------------------------------------------