TSTP Solution File: GRP102-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP102-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 11:17:10 EDT 2022
% Result : Unsatisfiable 0.81s 1.09s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP102-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % 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 06:00:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.81/1.09 ============================== Prover9 ===============================
% 0.81/1.09 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.09 Process 6378 was started by sandbox2 on n014.cluster.edu,
% 0.81/1.09 Tue Jun 14 06:00:07 2022
% 0.81/1.09 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_6224_n014.cluster.edu".
% 0.81/1.09 ============================== end of head ===========================
% 0.81/1.09
% 0.81/1.09 ============================== INPUT =================================
% 0.81/1.09
% 0.81/1.09 % Reading from file /tmp/Prover9_6224_n014.cluster.edu
% 0.81/1.09
% 0.81/1.09 set(prolog_style_variables).
% 0.81/1.09 set(auto2).
% 0.81/1.09 % set(auto2) -> set(auto).
% 0.81/1.09 % set(auto) -> set(auto_inference).
% 0.81/1.09 % set(auto) -> set(auto_setup).
% 0.81/1.09 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.09 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.09 % set(auto) -> set(auto_limits).
% 0.81/1.09 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.09 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.09 % set(auto) -> set(auto_denials).
% 0.81/1.09 % set(auto) -> set(auto_process).
% 0.81/1.09 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.09 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.09 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.09 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.09 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.09 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.09 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.09 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.09 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.09 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.09 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.09 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.09 % set(auto2) -> assign(stats, some).
% 0.81/1.09 % set(auto2) -> clear(echo_input).
% 0.81/1.09 % set(auto2) -> set(quiet).
% 0.81/1.09 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.09 % set(auto2) -> clear(print_given).
% 0.81/1.09 assign(lrs_ticks,-1).
% 0.81/1.09 assign(sos_limit,10000).
% 0.81/1.09 assign(order,kbo).
% 0.81/1.09 set(lex_order_vars).
% 0.81/1.09 clear(print_given).
% 0.81/1.09
% 0.81/1.09 % formulas(sos). % not echoed (5 formulas)
% 0.81/1.09
% 0.81/1.09 ============================== end of input ==========================
% 0.81/1.09
% 0.81/1.09 % From the command line: assign(max_seconds, 300).
% 0.81/1.09
% 0.81/1.09 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.09
% 0.81/1.09 % Formulas that are not ordinary clauses:
% 0.81/1.09
% 0.81/1.09 ============================== end of process non-clausal formulas ===
% 0.81/1.09
% 0.81/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.09
% 0.81/1.09 ============================== PREDICATE ELIMINATION =================
% 0.81/1.09
% 0.81/1.09 ============================== end predicate elimination =============
% 0.81/1.09
% 0.81/1.09 Auto_denials:
% 0.81/1.09 % copying label prove_these_axioms to answer in negative clause
% 0.81/1.09
% 0.81/1.09 Term ordering decisions:
% 0.81/1.09
% 0.81/1.09 % Assigning unary symbol inverse kb_weight 0 and highest precedence (12).
% 0.81/1.09 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.
% 0.81/1.09
% 0.81/1.09 ============================== end of process initial clauses ========
% 0.81/1.09
% 0.81/1.09 ============================== CLAUSES FOR SEARCH ====================
% 0.81/1.09
% 0.81/1.09 ============================== end of clauses for search =============
% 0.81/1.09
% 0.81/1.09 ============================== SEARCH ================================
% 0.81/1.09
% 0.81/1.09 % Starting search at 0.01 seconds.
% 0.81/1.09
% 0.81/1.09 ============================== PROOF =================================
% 0.81/1.09 % SZS status Unsatisfiable
% 0.81/1.09 % SZS output start Refutation
% 0.81/1.09
% 0.81/1.09 % Proof 1 at 0.16 (+ 0.01) seconds: prove_these_axioms.
% 0.81/1.09 % Length of proof is 74.
% 0.81/1.09 % Level of proof is 26.
% 0.81/1.09 % Maximum clause weight is 42.000.
% 0.81/1.09 % Given clauses 70.
% 0.81/1.09
% 0.81/1.09 1 inverse(A) = double_divide(A,identity) # label(inverse) # label(axiom). [assumption].
% 0.81/1.09 2 identity = double_divide(A,inverse(A)) # label(identity) # label(axiom). [assumption].
% 0.81/1.09 3 double_divide(A,double_divide(A,identity)) = identity. [copy(2),rewrite([1(2)]),flip(a)].
% 0.81/1.09 4 multiply(A,B) = double_divide(double_divide(B,A),identity) # label(multiply) # label(axiom). [assumption].
% 0.81/1.09 5 double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C # label(single_axiom) # label(axiom). [assumption].
% 0.81/1.09 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].
% 0.81/1.09 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)].
% 0.81/1.09 8 double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,B),double_divide(A,identity))),double_divide(identity,identity)) = B. [para(3(a,1),5(a,1,1,2,1,1))].
% 0.81/1.09 9 double_divide(double_divide(A,double_divide(identity,double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(B,A),identity). [para(3(a,1),5(a,1,1,2,1))].
% 0.81/1.09 11 double_divide(double_divide(double_divide(double_divide(double_divide(A,B),C),double_divide(A,identity)),double_divide(C,double_divide(B,identity))),double_divide(identity,identity)) = double_divide(identity,identity). [para(5(a,1),5(a,1,1,2,1))].
% 0.81/1.09 13 double_divide(double_divide(double_divide(double_divide(identity,A),identity),identity),double_divide(identity,identity)) = A. [para(3(a,1),8(a,1,1,2))].
% 0.81/1.09 17 double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)) = double_divide(identity,identity). [para(3(a,1),13(a,1,1,1,1))].
% 0.81/1.09 18 double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(A,B),double_divide(double_divide(double_divide(double_divide(identity,A),identity),identity),identity))),double_divide(identity,identity)) = B. [para(13(a,1),5(a,1,1,2,1,1))].
% 0.81/1.09 21 double_divide(double_divide(identity,identity),double_divide(identity,identity)) = double_divide(identity,identity). [para(17(a,1),5(a,1,1,2,1)),rewrite([3(10)])].
% 0.81/1.09 23 double_divide(identity,identity) = identity. [para(21(a,1),5(a,1,1,2,1)),rewrite([21(8),3(5),3(5)]),flip(a)].
% 0.81/1.09 26 double_divide(double_divide(identity,double_divide(double_divide(A,B),double_divide(double_divide(double_divide(double_divide(identity,A),identity),identity),identity))),identity) = B. [back_rewrite(18),rewrite([23(3),23(15)])].
% 0.81/1.09 30 double_divide(double_divide(double_divide(double_divide(identity,A),identity),identity),identity) = A. [back_rewrite(13),rewrite([23(9)])].
% 0.81/1.09 32 double_divide(double_divide(double_divide(double_divide(double_divide(A,B),C),double_divide(A,identity)),double_divide(C,double_divide(B,identity))),identity) = identity. [back_rewrite(11),rewrite([23(12),23(14)])].
% 0.81/1.09 34 double_divide(double_divide(A,double_divide(identity,double_divide(B,identity))),identity) = double_divide(double_divide(B,A),identity). [back_rewrite(9),rewrite([23(8)])].
% 0.81/1.09 36 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([23(3)]),xx(a)].
% 0.81/1.09 37 double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),identity) = C. [back_rewrite(5),rewrite([23(9)])].
% 0.81/1.09 38 double_divide(double_divide(identity,double_divide(double_divide(A,B),A)),identity) = B. [back_rewrite(26),rewrite([30(10)])].
% 0.81/1.09 42 double_divide(double_divide(identity,double_divide(double_divide(A,B),A)),B) = identity. [para(38(a,1),3(a,1,2))].
% 0.81/1.09 43 double_divide(double_divide(identity,double_divide(identity,A)),identity) = double_divide(A,identity). [para(3(a,1),38(a,1,1,2,1))].
% 0.81/1.09 44 double_divide(double_divide(A,identity),identity) = double_divide(double_divide(B,A),B). [para(38(a,1),30(a,1,1,1))].
% 0.81/1.09 51 double_divide(double_divide(A,identity),A) = identity. [para(42(a,1),38(a,1,1,2)),rewrite([23(3),23(3)]),flip(a)].
% 0.81/1.09 54 double_divide(double_divide(A,identity),identity) = A. [para(51(a,1),38(a,1,1,2,1)),rewrite([34(8)])].
% 0.81/1.09 57 double_divide(double_divide(A,B),A) = B. [back_rewrite(44),rewrite([54(4)]),flip(a)].
% 0.81/1.09 58 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(36),rewrite([54(5)]),xx(a)].
% 0.81/1.09 63 double_divide(identity,A) = double_divide(A,identity). [back_rewrite(43),rewrite([57(6)])].
% 0.81/1.09 64 double_divide(identity,double_divide(A,identity)) = A. [back_rewrite(38),rewrite([57(3),63(2),63(4,R)])].
% 0.81/1.09 66 double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) | double_divide(identity,double_divide(b4,a4)) != double_divide(identity,double_divide(a4,b4)) # answer(prove_these_axioms). [back_rewrite(58),rewrite([63(5,R),63(9,R),63(15,R),63(18,R),63(24,R),63(29,R)])].
% 0.81/1.09 67 double_divide(identity,double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)))) = C. [back_rewrite(37),rewrite([63(8,R)])].
% 0.81/1.09 69 double_divide(identity,double_divide(A,B)) = double_divide(identity,double_divide(B,A)). [back_rewrite(34),rewrite([64(4),63(3,R),63(6,R)])].
% 0.81/1.09 70 double_divide(identity,double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(double_divide(C,B),A),double_divide(C,identity)))) = identity. [back_rewrite(32),rewrite([63(11,R),69(11)])].
% 0.81/1.09 72 multiply(A,B) = double_divide(identity,double_divide(A,B)). [back_rewrite(4),rewrite([63(4,R),69(4)])].
% 0.81/1.09 73 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(66),rewrite([69(6),69(9),69(16),69(24)]),flip(a),xx(b)].
% 0.81/1.09 75 double_divide(A,double_divide(B,A)) = B. [para(57(a,1),57(a,1,1))].
% 0.81/1.09 76 double_divide(identity,double_divide(identity,double_divide(A,B))) = double_divide(B,A). [para(69(a,1),57(a,1,1)),rewrite([63(5,R)])].
% 0.81/1.09 78 double_divide(identity,double_divide(A,double_divide(identity,double_divide(B,double_divide(A,identity))))) = B. [para(23(a,1),67(a,1,2,2,2)),rewrite([63(3),63(6,R),69(6)])].
% 0.81/1.09 79 double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) = double_divide(C,identity). [para(67(a,1),57(a,1,1)),flip(a)].
% 0.81/1.09 80 double_divide(identity,double_divide(A,double_divide(double_divide(B,C),double_divide(identity,double_divide(A,B))))) = C. [para(57(a,1),67(a,1,2,2,1,1)),rewrite([63(5,R)])].
% 0.81/1.09 84 double_divide(identity,double_divide(A,double_divide(B,double_divide(C,identity)))) = double_divide(B,double_divide(C,A)). [para(75(a,1),67(a,1,2,2,1))].
% 0.81/1.09 85 double_divide(identity,double_divide(double_divide(A,B),double_divide(identity,double_divide(C,double_divide(identity,double_divide(A,B)))))) = C. [para(69(a,1),67(a,1,2,2,1,1)),rewrite([69(5),23(9),63(8,R),69(8)])].
% 0.81/1.09 86 double_divide(identity,double_divide(double_divide(A,identity),double_divide(identity,double_divide(A,B)))) = B. [para(67(a,1),67(a,1,2,2,1,1)),rewrite([79(7),23(7),63(6,R)])].
% 0.81/1.09 88 double_divide(double_divide(double_divide(A,B),C),double_divide(A,double_divide(C,double_divide(B,identity)))) = identity. [back_rewrite(70),rewrite([84(11)])].
% 0.81/1.09 89 double_divide(A,double_divide(A,B)) = B. [para(57(a,1),76(a,1,2,2)),rewrite([63(3),75(4)]),flip(a)].
% 0.81/1.09 90 double_divide(A,B) = double_divide(B,A). [para(63(a,1),76(a,1,2)),rewrite([63(4,R),89(5)])].
% 0.81/1.09 91 double_divide(double_divide(A,double_divide(B,C)),double_divide(B,double_divide(A,double_divide(C,identity)))) = identity. [back_rewrite(88),rewrite([90(2)])].
% 0.81/1.09 92 double_divide(identity,double_divide(A,double_divide(B,double_divide(C,identity)))) = double_divide(B,double_divide(A,C)). [back_rewrite(84),rewrite([90(7)])].
% 0.81/1.09 96 double_divide(identity,double_divide(A,identity)) = A. [para(89(a,1),72(a,2)),rewrite([72(2),90(3)])].
% 0.81/1.10 97 double_divide(A,double_divide(identity,double_divide(B,double_divide(A,identity)))) = double_divide(B,identity). [para(78(a,1),89(a,1,2)),rewrite([90(2)]),flip(a)].
% 0.81/1.10 98 double_divide(double_divide(A,identity),double_divide(identity,double_divide(B,A))) = double_divide(B,identity). [para(86(a,1),89(a,1,2)),rewrite([90(2),90(6)]),flip(a)].
% 0.81/1.10 100 double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(B,double_divide(A,identity)). [para(97(a,1),89(a,1,2)),flip(a)].
% 0.81/1.10 101 double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(identity,double_divide(A,B)). [para(98(a,1),89(a,1,2)),rewrite([90(7)])].
% 0.81/1.10 102 double_divide(double_divide(A,identity),double_divide(identity,double_divide(A,B))) = double_divide(B,identity). [para(90(a,1),98(a,1,1)),rewrite([90(2),90(4)])].
% 0.81/1.10 103 double_divide(A,double_divide(B,A)) = B. [para(86(a,1),98(a,1,2)),rewrite([90(5),89(5),90(2),90(6),96(6)])].
% 0.81/1.10 104 double_divide(A,double_divide(double_divide(B,C),double_divide(identity,double_divide(A,C)))) = double_divide(B,identity). [para(80(a,1),89(a,1,2)),rewrite([90(2),90(3)]),flip(a)].
% 0.81/1.10 115 double_divide(double_divide(A,B),double_divide(identity,double_divide(C,double_divide(identity,double_divide(A,B))))) = double_divide(C,identity). [para(85(a,1),89(a,1,2)),rewrite([90(2)]),flip(a)].
% 0.81/1.10 118 double_divide(identity,double_divide(A,double_divide(B,C))) = double_divide(B,double_divide(A,double_divide(C,identity))). [para(91(a,1),89(a,1,2)),rewrite([90(4)])].
% 0.81/1.10 122 double_divide(double_divide(A,double_divide(identity,double_divide(B,C))),double_divide(double_divide(B,identity),double_divide(A,C))) = identity. [para(101(a,1),91(a,1,1,2)),rewrite([90(10),103(10)])].
% 0.81/1.10 124 double_divide(double_divide(A,double_divide(B,identity)),double_divide(B,double_divide(A,C))) = double_divide(C,identity). [para(92(a,1),98(a,1,2)),rewrite([90(5),100(5),90(4)])].
% 0.81/1.10 127 double_divide(identity,double_divide(A,double_divide(identity,double_divide(B,C)))) = double_divide(double_divide(B,identity),double_divide(A,C)). [para(101(a,1),92(a,1,2,2))].
% 0.81/1.10 129 double_divide(double_divide(A,identity),double_divide(B,double_divide(A,C))) = double_divide(C,double_divide(B,identity)). [para(92(a,1),102(a,1,2)),rewrite([90(10),100(10)])].
% 0.81/1.10 130 double_divide(double_divide(A,B),double_divide(double_divide(A,identity),double_divide(B,C))) = double_divide(C,identity). [back_rewrite(115),rewrite([127(7),90(4)])].
% 0.81/1.10 131 double_divide(double_divide(identity,b3),double_divide(a3,c3)) != double_divide(double_divide(identity,a3),double_divide(b3,c3)) # answer(prove_these_axioms). [back_rewrite(73),rewrite([127(9),90(3),90(6),127(16),90(10)]),flip(a)].
% 0.81/1.10 144 double_divide(double_divide(A,B),double_divide(identity,double_divide(C,B))) = double_divide(C,double_divide(A,identity)). [para(104(a,1),89(a,1,2)),flip(a)].
% 0.81/1.10 168 double_divide(identity,double_divide(A,double_divide(B,double_divide(C,double_divide(D,identity))))) = double_divide(B,double_divide(identity,double_divide(D,double_divide(A,C)))). [para(118(a,2),92(a,2,2)),rewrite([90(6),100(6)])].
% 0.81/1.10 180 double_divide(double_divide(A,double_divide(B,identity)),double_divide(B,C)) = double_divide(identity,double_divide(A,C)). [para(89(a,1),124(a,1,2,2)),rewrite([90(8)])].
% 0.81/1.10 223 double_divide(double_divide(A,double_divide(B,C)),double_divide(D,identity)) = double_divide(B,double_divide(identity,double_divide(C,double_divide(D,A)))). [para(118(a,1),129(a,1,2,2)),rewrite([23(3),168(7)]),flip(a)].
% 0.81/1.10 299 double_divide(identity,double_divide(A,double_divide(double_divide(B,identity),double_divide(C,D)))) = double_divide(double_divide(B,D),double_divide(A,C)). [para(122(a,1),144(a,1,2,2)),rewrite([23(8),90(7),223(14),89(14)])].
% 0.81/1.10 334 double_divide(double_divide(A,B),double_divide(C,D)) = double_divide(double_divide(A,D),double_divide(C,B)). [para(130(a,1),180(a,1,2)),rewrite([90(3),223(7),90(4),89(7),299(10)])].
% 0.81/1.10 545 double_divide(double_divide(A,B),double_divide(C,D)) = double_divide(double_divide(A,C),double_divide(B,D)). [para(90(a,1),334(a,1,2)),rewrite([90(5)])].
% 0.81/1.10 546 $F # answer(prove_these_axioms). [resolve(545,a,131,a)].
% 0.81/1.10
% 0.81/1.10 % SZS output end Refutation
% 0.81/1.10 ============================== end of proof ==========================
% 0.81/1.10
% 0.81/1.10 ============================== STATISTICS ============================
% 0.81/1.10
% 0.81/1.10 Given=70. Generated=3570. Kept=543. proofs=1.
% 0.81/1.10 Usable=19. Sos=111. Demods=40. Limbo=3, Disabled=414. Hints=0.
% 0.81/1.10 Megabytes=0.44.
% 0.81/1.10 User_CPU=0.16, System_CPU=0.01, Wall_clock=0.
% 0.81/1.10
% 0.81/1.10 ============================== end of statistics =====================
% 0.81/1.10
% 0.81/1.10 ============================== end of search =========================
% 0.81/1.10
% 0.81/1.10 THEOREM PROVED
% 0.81/1.10 % SZS status Unsatisfiable
% 0.81/1.10
% 0.81/1.10 Exiting with 1 proof.
% 0.81/1.10
% 0.81/1.10 Process 6378 exit (max_proofs) Tue Jun 14 06:00:07 2022
% 0.81/1.10 Prover9 interrupted
%------------------------------------------------------------------------------