TSTP Solution File: SEU235+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 : Tue Jul 19 08:39:54 EDT 2022
% Result : Theorem 31.33s 5.23s
% Output : CNFRefutation 31.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of clauses : 85 ( 44 unt; 7 nHn; 82 RR)
% Number of literals : 164 ( 10 equ; 88 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_82,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_82) ).
cnf(i_0_80,negated_conjecture,
subset(esk15_0,esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_80) ).
cnf(i_0_84,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_84) ).
cnf(i_0_75,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_75) ).
cnf(i_0_20,plain,
element(esk2_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_20) ).
cnf(i_0_79,negated_conjecture,
esk15_0 != empty_set,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_79) ).
cnf(i_0_90,plain,
( X1 = X2
| ~ empty(X2)
| ~ empty(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_90) ).
cnf(i_0_23,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_23) ).
cnf(i_0_85,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_85) ).
cnf(i_0_73,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_73) ).
cnf(i_0_81,negated_conjecture,
ordinal(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_81) ).
cnf(i_0_77,negated_conjecture,
( in(esk17_1(X1),esk15_0)
| ~ ordinal(X1)
| ~ in(X1,esk15_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_77) ).
cnf(i_0_89,plain,
( in(esk18_2(X1,X2),X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_89) ).
cnf(i_0_78,negated_conjecture,
( ordinal(esk17_1(X1))
| ~ ordinal(X1)
| ~ in(X1,esk15_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_78) ).
cnf(i_0_88,plain,
( ~ in(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,esk18_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_88) ).
cnf(i_0_16,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_16) ).
cnf(i_0_74,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_74) ).
cnf(i_0_4,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_4) ).
cnf(i_0_76,negated_conjecture,
( ~ ordinal(X1)
| ~ in(X1,esk15_0)
| ~ ordinal_subset(X1,esk17_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_76) ).
cnf(i_0_68,plain,
( ordinal_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_68) ).
cnf(i_0_70,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tzlu8gnl/input.p',i_0_70) ).
cnf(c_0_112,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_82 ).
cnf(c_0_113,negated_conjecture,
subset(esk15_0,esk16_0),
i_0_80 ).
cnf(c_0_114,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_84 ).
cnf(c_0_115,negated_conjecture,
element(esk15_0,powerset(esk16_0)),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_116,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_75 ).
cnf(c_0_117,plain,
element(esk2_1(X1),X1),
i_0_20 ).
cnf(c_0_118,negated_conjecture,
esk15_0 != empty_set,
i_0_79 ).
cnf(c_0_119,plain,
( X1 = X2
| ~ empty(X2)
| ~ empty(X1) ),
i_0_90 ).
cnf(c_0_120,plain,
empty(empty_set),
i_0_23 ).
cnf(c_0_121,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_85 ).
cnf(c_0_122,negated_conjecture,
( element(X1,esk16_0)
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,plain,
( in(esk2_1(X1),X1)
| empty(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_124,negated_conjecture,
~ empty(esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119])]),c_0_120])]) ).
cnf(c_0_125,plain,
( ~ in(X1,esk15_0)
| ~ empty(esk16_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_115]) ).
cnf(c_0_126,negated_conjecture,
element(esk2_1(esk15_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_127,plain,
~ empty(esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_123]),c_0_124]) ).
cnf(c_0_128,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
i_0_73 ).
cnf(c_0_129,plain,
in(esk2_1(esk15_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_126]),c_0_127]) ).
cnf(c_0_130,negated_conjecture,
ordinal(esk16_0),
i_0_81 ).
cnf(c_0_131,negated_conjecture,
( in(esk17_1(X1),esk15_0)
| ~ ordinal(X1)
| ~ in(X1,esk15_0) ),
i_0_77 ).
cnf(c_0_132,plain,
ordinal(esk2_1(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).
cnf(c_0_133,plain,
( in(esk18_2(X1,X2),X2)
| ~ in(X1,X2) ),
i_0_89 ).
cnf(c_0_134,negated_conjecture,
in(esk17_1(esk2_1(esk15_0)),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_123]),c_0_124]),c_0_132])]) ).
cnf(c_0_135,negated_conjecture,
( ordinal(esk17_1(X1))
| ~ ordinal(X1)
| ~ in(X1,esk15_0) ),
i_0_78 ).
cnf(c_0_136,plain,
in(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,negated_conjecture,
ordinal(esk17_1(esk2_1(esk15_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_123]),c_0_124]),c_0_132])]) ).
cnf(c_0_138,negated_conjecture,
element(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk16_0),
inference(spm,[status(thm)],[c_0_122,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
in(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_134]),c_0_137])]) ).
cnf(c_0_140,plain,
in(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_138]),c_0_127]) ).
cnf(c_0_141,plain,
in(esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0),esk15_0),
inference(spm,[status(thm)],[c_0_133,c_0_139]) ).
cnf(c_0_142,plain,
ordinal(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_140]),c_0_130])]) ).
cnf(c_0_143,plain,
( ~ in(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,esk18_2(X1,X2)) ),
i_0_88 ).
cnf(c_0_144,negated_conjecture,
element(esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0),esk16_0),
inference(spm,[status(thm)],[c_0_122,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
in(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_136]),c_0_142])]) ).
cnf(c_0_146,negated_conjecture,
ordinal(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_142])]) ).
cnf(c_0_147,plain,
( ~ in(esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0),esk18_2(X1,esk15_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_141]) ).
cnf(c_0_148,plain,
in(esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_144]),c_0_127]) ).
cnf(c_0_149,plain,
( ~ in(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk18_2(X1,esk15_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_136]) ).
cnf(c_0_150,negated_conjecture,
in(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_145]),c_0_146])]) ).
cnf(c_0_151,negated_conjecture,
ordinal(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_145]),c_0_146])]) ).
cnf(c_0_152,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_16 ).
cnf(c_0_153,plain,
( X1 = X2
| in(X2,X1)
| in(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
i_0_74 ).
cnf(c_0_154,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_4 ).
cnf(c_0_155,negated_conjecture,
~ in(esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0),esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),
inference(spm,[status(thm)],[c_0_147,c_0_134]) ).
cnf(c_0_156,plain,
ordinal(esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_148]),c_0_130])]) ).
cnf(c_0_157,negated_conjecture,
~ in(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0)),
inference(spm,[status(thm)],[c_0_149,c_0_139]) ).
cnf(c_0_158,negated_conjecture,
in(esk17_1(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)))),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_150]),c_0_151])]) ).
cnf(c_0_159,negated_conjecture,
ordinal(esk17_1(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_150]),c_0_151])]) ).
cnf(c_0_160,negated_conjecture,
( ~ ordinal(X1)
| ~ in(X1,esk15_0)
| ~ ordinal_subset(X1,esk17_1(X1)) ),
i_0_76 ).
cnf(c_0_161,plain,
( ordinal_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ subset(X1,X2) ),
i_0_68 ).
cnf(c_0_162,plain,
( X1 = X2
| in(X2,X1)
| subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_163,plain,
( ~ in(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),esk18_2(X1,esk15_0))
| ~ in(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_143,c_0_145]) ).
cnf(c_0_164,plain,
esk18_2(esk17_1(esk17_1(esk2_1(esk15_0))),esk15_0) = esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_153]),c_0_156]),c_0_142])]),c_0_157]) ).
cnf(c_0_165,negated_conjecture,
in(esk17_1(esk17_1(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))))),esk15_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_158]),c_0_159])]) ).
cnf(c_0_166,negated_conjecture,
ordinal(esk17_1(esk17_1(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_158]),c_0_159])]) ).
cnf(c_0_167,negated_conjecture,
~ ordinal_subset(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_136]),c_0_142])]) ).
cnf(c_0_168,plain,
( X1 = X2
| ordinal_subset(X1,X2)
| in(X2,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_169,negated_conjecture,
~ in(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_139]),c_0_164]) ).
cnf(c_0_170,negated_conjecture,
~ ordinal_subset(esk17_1(esk17_1(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))))),esk17_1(esk17_1(esk17_1(esk17_1(esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_165]),c_0_166])]) ).
cnf(c_0_171,negated_conjecture,
esk17_1(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)) = esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_146]),c_0_142])]),c_0_169]) ).
cnf(c_0_172,plain,
( ordinal_subset(X1,X1)
| ~ ordinal(X2)
| ~ ordinal(X1) ),
i_0_70 ).
cnf(c_0_173,negated_conjecture,
~ ordinal_subset(esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0),esk18_2(esk17_1(esk2_1(esk15_0)),esk15_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]),c_0_171]) ).
cnf(c_0_174,negated_conjecture,
( ordinal_subset(X1,X1)
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_130]) ).
cnf(c_0_175,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_142])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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 : Sun Jun 19 02:35:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 31.33/5.23 # ENIGMATIC: Solved by autoschedule:
% 31.33/5.23 # No SInE strategy applied
% 31.33/5.23 # Trying AutoSched0 for 150 seconds
% 31.33/5.23 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S2q
% 31.33/5.23 # and selection function SelectCQArNTNp.
% 31.33/5.23 #
% 31.33/5.23 # Preprocessing time : 0.024 s
% 31.33/5.23 # Presaturation interreduction done
% 31.33/5.23
% 31.33/5.23 # Proof found!
% 31.33/5.23 # SZS status Theorem
% 31.33/5.23 # SZS output start CNFRefutation
% See solution above
% 31.33/5.23 # Training examples: 0 positive, 0 negative
% 31.33/5.23
% 31.33/5.23 # -------------------------------------------------
% 31.33/5.23 # User time : 2.824 s
% 31.33/5.23 # System time : 0.085 s
% 31.33/5.23 # Total time : 2.908 s
% 31.33/5.23 # Maximum resident set size: 7120 pages
% 31.33/5.23
%------------------------------------------------------------------------------