TSTP Solution File: GRP103-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP103-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 11:17:10 EDT 2022
% Result : Unsatisfiable 0.82s 1.11s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP103-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 12:16:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.82/1.11 ============================== Prover9 ===============================
% 0.82/1.11 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.11 Process 20130 was started by sandbox2 on n015.cluster.edu,
% 0.82/1.11 Tue Jun 14 12:16:54 2022
% 0.82/1.11 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_19977_n015.cluster.edu".
% 0.82/1.11 ============================== end of head ===========================
% 0.82/1.11
% 0.82/1.11 ============================== INPUT =================================
% 0.82/1.11
% 0.82/1.11 % Reading from file /tmp/Prover9_19977_n015.cluster.edu
% 0.82/1.11
% 0.82/1.11 set(prolog_style_variables).
% 0.82/1.11 set(auto2).
% 0.82/1.11 % set(auto2) -> set(auto).
% 0.82/1.11 % set(auto) -> set(auto_inference).
% 0.82/1.11 % set(auto) -> set(auto_setup).
% 0.82/1.11 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.11 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.11 % set(auto) -> set(auto_limits).
% 0.82/1.11 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.11 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.11 % set(auto) -> set(auto_denials).
% 0.82/1.11 % set(auto) -> set(auto_process).
% 0.82/1.11 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.11 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.11 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.11 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.11 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.11 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.11 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.11 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.11 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.11 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.11 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.11 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.11 % set(auto2) -> assign(stats, some).
% 0.82/1.11 % set(auto2) -> clear(echo_input).
% 0.82/1.11 % set(auto2) -> set(quiet).
% 0.82/1.11 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.11 % set(auto2) -> clear(print_given).
% 0.82/1.11 assign(lrs_ticks,-1).
% 0.82/1.11 assign(sos_limit,10000).
% 0.82/1.11 assign(order,kbo).
% 0.82/1.11 set(lex_order_vars).
% 0.82/1.11 clear(print_given).
% 0.82/1.11
% 0.82/1.11 % formulas(sos). % not echoed (5 formulas)
% 0.82/1.11
% 0.82/1.11 ============================== end of input ==========================
% 0.82/1.11
% 0.82/1.11 % From the command line: assign(max_seconds, 300).
% 0.82/1.11
% 0.82/1.11 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.11
% 0.82/1.11 % Formulas that are not ordinary clauses:
% 0.82/1.11
% 0.82/1.11 ============================== end of process non-clausal formulas ===
% 0.82/1.11
% 0.82/1.11 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.11
% 0.82/1.11 ============================== PREDICATE ELIMINATION =================
% 0.82/1.11
% 0.82/1.11 ============================== end predicate elimination =============
% 0.82/1.11
% 0.82/1.11 Auto_denials:
% 0.82/1.11 % copying label prove_these_axioms to answer in negative clause
% 0.82/1.11
% 0.82/1.11 Term ordering decisions:
% 0.82/1.11
% 0.82/1.11 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 0.82/1.11 Function symbol KB weights: identity=1. a1=1. a2=1. a3=1. a4=1. b3=1. b4=1. c3=1. double_divide=1. multiply=1. inverse=0.
% 0.82/1.11
% 0.82/1.11 ============================== end of process initial clauses ========
% 0.82/1.11
% 0.82/1.11 ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.11
% 0.82/1.11 ============================== end of clauses for search =============
% 0.82/1.11
% 0.82/1.11 ============================== SEARCH ================================
% 0.82/1.11
% 0.82/1.11 % Starting search at 0.01 seconds.
% 0.82/1.11
% 0.82/1.11 ============================== PROOF =================================
% 0.82/1.11 % SZS status Unsatisfiable
% 0.82/1.11 % SZS output start Refutation
% 0.82/1.11
% 0.82/1.11 % Proof 1 at 0.11 (+ 0.00) seconds: prove_these_axioms.
% 0.82/1.11 % Length of proof is 72.
% 0.82/1.11 % Level of proof is 24.
% 0.82/1.11 % Maximum clause weight is 42.000.
% 0.82/1.11 % Given clauses 57.
% 0.82/1.11
% 0.82/1.11 1 inverse(A) = double_divide(A,identity) # label(inverse) # label(axiom). [assumption].
% 0.82/1.11 2 identity = double_divide(A,inverse(A)) # label(identity) # label(axiom). [assumption].
% 0.82/1.11 3 double_divide(A,double_divide(A,identity)) = identity. [copy(2),rewrite([1(2)]),flip(a)].
% 0.82/1.11 4 multiply(A,B) = double_divide(double_divide(B,A),identity) # label(multiply) # label(axiom). [assumption].
% 0.82/1.11 5 double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C # label(single_axiom) # label(axiom). [assumption].
% 0.82/1.11 6 multiply(inverse(a1),a1) != identity | multiply(identity,a2) != a2 | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) | multiply(a4,b4) != multiply(b4,a4) # label(prove_these_axioms) # label(negated_conjecture) # answer(prove_these_axioms). [assumption].
% 0.82/1.11 7 double_divide(identity,identity) != identity | double_divide(double_divide(a2,identity),identity) != a2 | double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) | double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) # answer(prove_these_axioms). [copy(6),rewrite([1(2),4(5),3(5),4(8),4(15),4(19),4(25),4(28),4(34),4(39)]),flip(c)].
% 0.82/1.11 8 double_divide(double_divide(A,double_divide(identity,double_divide(B,double_divide(double_divide(identity,identity),A)))),double_divide(identity,identity)) = B. [para(3(a,1),5(a,1,1,2,1))].
% 0.82/1.11 9 double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))),double_divide(identity,identity)) = B. [para(3(a,1),5(a,1,1,2,2,2))].
% 0.82/1.11 11 double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A))))),double_divide(D,C))),double_divide(identity,identity)) = D. [para(5(a,1),5(a,1,1,2,2,2))].
% 0.82/1.11 12 double_divide(double_divide(identity,double_divide(double_divide(identity,identity),A)),double_divide(identity,identity)) = double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B)))). [para(5(a,1),5(a,1,1,2,2))].
% 0.82/1.11 13 double_divide(double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,double_divide(A,identity))),double_divide(identity,identity)) = A. [para(3(a,1),8(a,1,1,2,2,2))].
% 0.82/1.11 14 double_divide(identity,identity) = identity. [para(3(a,1),8(a,1,1,2,2)),rewrite([3(5),3(5)]),flip(a)].
% 0.82/1.11 17 double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))) = double_divide(double_divide(identity,double_divide(identity,B)),identity). [para(8(a,1),5(a,1,1,2,2)),rewrite([14(4),14(7),14(10)]),flip(a)].
% 0.82/1.11 18 double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),identity) = A. [back_rewrite(13),rewrite([14(3),14(3),14(9)])].
% 0.82/1.11 19 double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(double_divide(identity,double_divide(identity,C)),identity). [back_rewrite(12),rewrite([14(4),14(7)]),flip(a)].
% 0.82/1.11 20 double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,A)),identity)),double_divide(B,A))),identity) = B. [back_rewrite(11),rewrite([14(3),19(8),14(15)])].
% 0.82/1.11 22 double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))),identity) = B. [back_rewrite(9),rewrite([14(11)])].
% 0.82/1.11 23 double_divide(double_divide(double_divide(identity,double_divide(identity,A)),identity),identity) = A. [back_rewrite(8),rewrite([14(4),17(6),14(9)])].
% 0.82/1.11 24 double_divide(double_divide(a2,identity),identity) != a2 | double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) | double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity) # answer(prove_these_axioms). [back_rewrite(7),rewrite([14(3)]),xx(a)].
% 0.82/1.11 25 double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),A) = identity. [para(18(a,1),3(a,1,2))].
% 0.82/1.11 26 double_divide(double_divide(identity,double_divide(identity,A)),identity) = double_divide(identity,double_divide(identity,double_divide(A,identity))). [para(18(a,1),18(a,1,1,2,2))].
% 0.82/1.11 27 double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),identity))) = A. [back_rewrite(23),rewrite([26(6),26(8)])].
% 0.82/1.11 28 double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),double_divide(B,A))),identity) = B. [back_rewrite(20),rewrite([26(8)])].
% 0.82/1.11 29 double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))) = double_divide(identity,double_divide(identity,double_divide(C,identity))). [back_rewrite(19),rewrite([26(12)])].
% 0.82/1.11 30 double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))) = double_divide(identity,double_divide(identity,double_divide(B,identity))). [back_rewrite(17),rewrite([26(12)])].
% 0.82/1.11 34 double_divide(double_divide(double_divide(A,identity),identity),identity) = double_divide(identity,A). [para(3(a,1),22(a,1,1,2))].
% 0.82/1.11 50 double_divide(identity,double_divide(identity,double_divide(identity,A))) = double_divide(A,identity). [para(34(a,1),27(a,1,2,2))].
% 0.82/1.11 52 double_divide(double_divide(identity,A),identity) = double_divide(identity,double_divide(A,identity)). [para(34(a,1),34(a,1,1))].
% 0.82/1.11 54 double_divide(identity,double_divide(double_divide(double_divide(double_divide(A,identity),identity),double_divide(B,A)),identity)) = B. [back_rewrite(28),rewrite([50(9),52(10)])].
% 0.82/1.11 58 double_divide(identity,double_divide(identity,double_divide(A,B))) = double_divide(B,double_divide(identity,double_divide(A,identity))). [para(25(a,1),29(a,1,2,2)),rewrite([52(4),52(16),52(15),27(16)]),flip(a)].
% 0.82/1.11 69 double_divide(double_divide(A,double_divide(B,C)),double_divide(double_divide(identity,double_divide(identity,B)),double_divide(identity,double_divide(identity,double_divide(A,identity))))) = double_divide(identity,double_divide(identity,double_divide(C,identity))). [para(29(a,1),29(a,1,2,2))].
% 0.82/1.11 73 double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,identity),identity),double_divide(A,B))) = identity. [para(54(a,1),25(a,1,1,2))].
% 0.82/1.11 81 double_divide(double_divide(A,double_divide(identity,double_divide(B,identity))),identity) = double_divide(identity,double_divide(identity,double_divide(double_divide(B,A),identity))). [para(58(a,1),4(a,2,1)),rewrite([4(5),52(7),52(6)]),flip(a)].
% 0.82/1.11 83 double_divide(A,double_divide(identity,A)) = identity. [para(25(a,1),58(a,1,2,2)),rewrite([14(4),14(3),81(10),27(10)]),flip(a)].
% 0.82/1.11 88 double_divide(A,double_divide(double_divide(B,double_divide(identity,double_divide(C,identity))),double_divide(D,double_divide(double_divide(identity,double_divide(C,B)),A)))) = double_divide(identity,double_divide(identity,double_divide(D,identity))). [para(58(a,1),29(a,1,2,1))].
% 0.82/1.11 91 double_divide(double_divide(A,identity),double_divide(double_divide(A,B),identity)) = double_divide(identity,double_divide(identity,double_divide(B,identity))). [para(58(a,2),29(a,1,2,2)),rewrite([14(5),50(9)])].
% 0.82/1.11 96 double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,A)),double_divide(identity,double_divide(identity,double_divide(A,B)))),identity)) = B. [para(58(a,2),54(a,1,2,1,2)),rewrite([52(7),52(9),34(8)])].
% 0.82/1.11 98 double_divide(double_divide(identity,double_divide(A,identity)),double_divide(identity,double_divide(B,identity))) = double_divide(identity,double_divide(double_divide(A,B),identity)). [para(58(a,2),58(a,1,2,2)),rewrite([50(8)]),flip(a)].
% 0.82/1.11 99 double_divide(double_divide(identity,double_divide(A,double_divide(identity,B))),double_divide(double_divide(identity,B),double_divide(C,double_divide(identity,double_divide(identity,double_divide(A,identity)))))) = double_divide(identity,double_divide(identity,double_divide(C,identity))). [para(30(a,1),29(a,1,2,2,2))].
% 0.82/1.11 107 double_divide(identity,double_divide(identity,double_divide(A,identity))) = double_divide(A,identity). [para(83(a,1),29(a,1,2,2)),rewrite([14(3),14(3)]),flip(a)].
% 0.82/1.11 109 double_divide(identity,double_divide(A,identity)) = A. [para(83(a,1),54(a,1,2,1,2)),rewrite([52(5),52(7),52(9),34(8),52(7),52(6),107(7)])].
% 0.82/1.11 113 double_divide(identity,A) = double_divide(A,identity). [para(83(a,1),30(a,1,2,2)),rewrite([14(3),109(7)]),flip(a)].
% 0.82/1.11 118 double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,identity),double_divide(C,double_divide(A,identity)))) = double_divide(C,identity). [back_rewrite(99),rewrite([113(3),113(7),109(12),113(9),109(17),113(14)])].
% 0.82/1.11 122 double_divide(double_divide(A,identity),double_divide(identity,double_divide(A,B))) = double_divide(B,identity). [back_rewrite(91),rewrite([113(5,R),109(11),113(8)])].
% 0.82/1.11 125 double_divide(A,double_divide(double_divide(B,C),double_divide(D,double_divide(double_divide(identity,double_divide(C,B)),A)))) = double_divide(D,identity). [back_rewrite(88),rewrite([109(4),109(13),113(10)])].
% 0.82/1.11 132 double_divide(double_divide(A,double_divide(B,C)),double_divide(B,double_divide(A,identity))) = double_divide(C,identity). [back_rewrite(69),rewrite([113(5),109(6),109(7),113(4),109(11),113(8)])].
% 0.82/1.11 141 double_divide(identity,double_divide(identity,double_divide(A,B))) = double_divide(A,B). [back_rewrite(98),rewrite([109(4),109(4),113(5,R)]),flip(a)].
% 0.82/1.11 142 double_divide(A,double_divide(A,B)) = B. [back_rewrite(96),rewrite([113(4),109(5),141(6),113(5,R),141(6)])].
% 0.82/1.11 144 double_divide(A,B) = double_divide(B,A). [back_rewrite(58),rewrite([142(5),109(5)])].
% 0.82/1.11 146 double_divide(double_divide(A,identity),double_divide(B,double_divide(A,B))) = identity. [back_rewrite(73),rewrite([144(2),144(6),109(6)])].
% 0.82/1.11 147 double_divide(identity,double_divide(c3,double_divide(identity,double_divide(a3,b3)))) != double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3)))) # answer(prove_these_axioms). [back_rewrite(24),rewrite([144(3),144(5),142(5),144(6),144(8),144(10),144(12),144(16),144(18),144(21),144(25),144(27),144(32)]),flip(b),xx(a),xx(c)].
% 0.82/1.11 149 double_divide(A,double_divide(double_divide(B,C),double_divide(D,double_divide(A,double_divide(identity,double_divide(B,C)))))) = double_divide(D,identity). [back_rewrite(125),rewrite([144(3),144(5)])].
% 0.82/1.11 157 double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(C,identity)) = double_divide(double_divide(B,identity),double_divide(C,double_divide(A,identity))). [para(118(a,1),142(a,1,2))].
% 0.82/1.11 159 double_divide(A,double_divide(B,A)) = B. [para(146(a,1),142(a,1,2)),rewrite([144(4),109(4)]),flip(a)].
% 0.82/1.11 161 double_divide(double_divide(A,identity),double_divide(double_divide(B,identity),double_divide(A,double_divide(C,identity)))) = double_divide(identity,double_divide(C,double_divide(B,identity))). [para(118(a,1),159(a,1,2)),rewrite([144(9)])].
% 0.82/1.11 164 double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,double_divide(C,identity)))) = double_divide(B,double_divide(C,double_divide(A,identity))). [para(118(a,1),122(a,1,2,2)),rewrite([144(7),142(7),159(7),144(4),144(12)]),flip(a)].
% 0.82/1.11 165 double_divide(double_divide(A,identity),double_divide(B,double_divide(C,A))) = double_divide(C,double_divide(B,identity)). [para(132(a,1),142(a,1,2)),rewrite([144(5)])].
% 0.82/1.11 166 double_divide(double_divide(A,B),double_divide(C,double_divide(A,identity))) = double_divide(identity,double_divide(B,C)). [para(142(a,1),132(a,1,1,2)),rewrite([144(6),144(8)])].
% 0.82/1.11 170 double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(B,double_divide(A,identity)). [para(118(a,1),132(a,1,1)),rewrite([144(11),142(11),159(8),144(3),144(8)]),flip(a)].
% 0.82/1.11 171 double_divide(double_divide(A,double_divide(B,identity)),double_divide(C,identity)) = double_divide(B,double_divide(A,C)). [para(132(a,1),159(a,1,2))].
% 0.82/1.11 175 double_divide(double_divide(A,identity),double_divide(double_divide(B,identity),double_divide(A,double_divide(C,identity)))) = double_divide(B,double_divide(C,identity)). [back_rewrite(161),rewrite([170(14)])].
% 0.82/1.11 176 double_divide(double_divide(A,identity),double_divide(B,double_divide(C,identity))) = double_divide(C,double_divide(A,B)). [back_rewrite(157),rewrite([170(5),171(6)]),flip(a)].
% 0.82/1.11 177 double_divide(double_divide(A,identity),double_divide(B,double_divide(A,C))) = double_divide(C,double_divide(B,identity)). [back_rewrite(175),rewrite([176(8),144(3)])].
% 0.82/1.11 179 double_divide(identity,double_divide(A,double_divide(B,C))) = double_divide(C,double_divide(A,double_divide(B,identity))). [back_rewrite(164),rewrite([176(7)])].
% 0.82/1.11 190 double_divide(identity,double_divide(A,double_divide(identity,double_divide(B,C)))) = double_divide(double_divide(B,C),double_divide(A,identity)). [para(149(a,1),165(a,1,2)),rewrite([144(7),144(10),177(10),14(7),144(6)])].
% 0.82/1.11 192 double_divide(double_divide(identity,c3),double_divide(a3,b3)) != double_divide(double_divide(identity,a3),double_divide(b3,c3)) # answer(prove_these_axioms). [back_rewrite(147),rewrite([190(9),144(6),144(7),190(16),144(13),144(14)])].
% 0.82/1.11 199 double_divide(identity,double_divide(A,double_divide(B,double_divide(C,identity)))) = double_divide(B,double_divide(C,A)). [para(170(a,1),166(a,1,1)),rewrite([14(6),171(6),144(7)]),flip(a)].
% 0.82/1.11 227 double_divide(double_divide(A,double_divide(B,C)),double_divide(D,C)) = double_divide(B,double_divide(D,A)). [para(165(a,1),179(a,1,2,2)),rewrite([199(6),144(1),144(8),159(8)]),flip(a)].
% 0.82/1.11 231 double_divide(double_divide(A,B),double_divide(C,double_divide(A,D))) = double_divide(D,double_divide(B,C)). [para(179(a,2),166(a,2,2)),rewrite([227(7),144(7),142(10)])].
% 0.82/1.11 367 double_divide(double_divide(A,B),double_divide(C,D)) = double_divide(double_divide(A,D),double_divide(B,C)). [para(142(a,1),231(a,1,2,2))].
% 0.82/1.11 368 $F # answer(prove_these_axioms). [resolve(367,a,192,a(flip))].
% 0.82/1.11
% 0.82/1.11 % SZS output end Refutation
% 0.82/1.11 ============================== end of proof ==========================
% 0.82/1.11
% 0.82/1.11 ============================== STATISTICS ============================
% 0.82/1.11
% 0.82/1.11 Given=57. Generated=2149. Kept=365. proofs=1.
% 0.82/1.11 Usable=15. Sos=85. Demods=34. Limbo=0, Disabled=269. Hints=0.
% 0.82/1.11 Megabytes=0.31.
% 0.82/1.11 User_CPU=0.11, System_CPU=0.00, Wall_clock=0.
% 0.82/1.11
% 0.82/1.11 ============================== end of statistics =====================
% 0.82/1.11
% 0.82/1.11 ============================== end of search =========================
% 0.82/1.11
% 0.82/1.11 THEOREM PROVED
% 0.82/1.11 % SZS status Unsatisfiable
% 0.82/1.11
% 0.82/1.11 Exiting with 1 proof.
% 0.82/1.11
% 0.82/1.11 Process 20130 exit (max_proofs) Tue Jun 14 12:16:54 2022
% 0.82/1.11 Prover9 interrupted
%------------------------------------------------------------------------------