TSTP Solution File: SEU253+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU253+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 08:40:06 EDT 2022
% Result : Theorem 8.19s 2.45s
% Output : CNFRefutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 19 unt; 12 nHn; 52 RR)
% Number of literals : 132 ( 14 equ; 62 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_57,negated_conjecture,
~ connected(relation_restriction(esk10_0,esk9_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_57) ).
cnf(i_0_35,plain,
( connected(X1)
| in(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_35) ).
cnf(i_0_17,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_17) ).
cnf(i_0_59,negated_conjecture,
relation(esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_59) ).
cnf(i_0_34,plain,
( connected(X1)
| in(esk3_1(X1),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_34) ).
cnf(i_0_53,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_field(relation_restriction(X3,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_53) ).
cnf(i_0_47,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_47) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_6) ).
cnf(i_0_54,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(X1,relation_field(relation_restriction(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_54) ).
cnf(i_0_36,plain,
( X1 = X2
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ connected(X3)
| ~ in(X2,relation_field(X3))
| ~ in(X1,relation_field(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_36) ).
cnf(i_0_58,negated_conjecture,
connected(esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_58) ).
cnf(i_0_50,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_50) ).
cnf(i_0_31,plain,
( connected(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk3_1(X1),esk2_1(X1)),singleton(esk3_1(X1))),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_31) ).
cnf(i_0_32,plain,
( connected(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_32) ).
cnf(i_0_33,plain,
( connected(X1)
| esk2_1(X1) != esk3_1(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tqcyj78w/lgb.p',i_0_33) ).
cnf(c_0_75,negated_conjecture,
~ connected(relation_restriction(esk10_0,esk9_0)),
i_0_57 ).
cnf(c_0_76,plain,
( connected(X1)
| in(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
i_0_35 ).
cnf(c_0_77,negated_conjecture,
( in(esk2_1(relation_restriction(esk10_0,esk9_0)),relation_field(relation_restriction(esk10_0,esk9_0)))
| ~ relation(relation_restriction(esk10_0,esk9_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_17 ).
cnf(c_0_79,negated_conjecture,
relation(esk10_0),
i_0_59 ).
cnf(c_0_80,plain,
( connected(X1)
| in(esk3_1(X1),relation_field(X1))
| ~ relation(X1) ),
i_0_34 ).
cnf(c_0_81,plain,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_field(relation_restriction(X3,X2))) ),
i_0_53 ).
cnf(c_0_82,plain,
in(esk2_1(relation_restriction(esk10_0,esk9_0)),relation_field(relation_restriction(esk10_0,esk9_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_83,negated_conjecture,
( in(esk3_1(relation_restriction(esk10_0,esk9_0)),relation_field(relation_restriction(esk10_0,esk9_0)))
| ~ relation(relation_restriction(esk10_0,esk9_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_80]) ).
cnf(c_0_84,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
i_0_47 ).
cnf(c_0_85,plain,
in(esk2_1(relation_restriction(esk10_0,esk9_0)),esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_79])]) ).
cnf(c_0_86,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_87,plain,
in(esk3_1(relation_restriction(esk10_0,esk9_0)),relation_field(relation_restriction(esk10_0,esk9_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_78]),c_0_79])]) ).
cnf(c_0_88,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(X1,relation_field(relation_restriction(X2,X3))) ),
i_0_54 ).
cnf(c_0_89,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_1(relation_restriction(esk10_0,esk9_0)))),cartesian_product2(X2,esk9_0))
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_90,plain,
in(esk3_1(relation_restriction(esk10_0,esk9_0)),esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_87]),c_0_79])]) ).
cnf(c_0_91,plain,
( X1 = X2
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ connected(X3)
| ~ in(X2,relation_field(X3))
| ~ in(X1,relation_field(X3)) ),
i_0_36 ).
cnf(c_0_92,plain,
in(esk2_1(relation_restriction(esk10_0,esk9_0)),relation_field(esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_82]),c_0_79])]) ).
cnf(c_0_93,negated_conjecture,
connected(esk10_0),
i_0_58 ).
cnf(c_0_94,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
i_0_50 ).
cnf(c_0_95,plain,
in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),cartesian_product2(esk9_0,esk9_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_86]) ).
cnf(c_0_96,plain,
( X1 = esk2_1(relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),X1),singleton(esk2_1(relation_restriction(esk10_0,esk9_0)))),esk10_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk2_1(relation_restriction(esk10_0,esk9_0)))),esk10_0)
| ~ in(X1,relation_field(esk10_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_79]),c_0_93])]),c_0_86]) ).
cnf(c_0_97,plain,
in(esk3_1(relation_restriction(esk10_0,esk9_0)),relation_field(esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_87]),c_0_79])]) ).
cnf(c_0_98,plain,
( connected(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk3_1(X1),esk2_1(X1)),singleton(esk3_1(X1))),X1) ),
i_0_31 ).
cnf(c_0_99,plain,
( in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),relation_restriction(X1,esk9_0))
| ~ in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0)
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_86]),c_0_86]) ).
cnf(c_0_101,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_1(relation_restriction(esk10_0,esk9_0)))),cartesian_product2(X2,esk9_0))
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_90]),c_0_86]) ).
cnf(c_0_102,plain,
( connected(X1)
| ~ in(unordered_pair(singleton(esk3_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_86]),c_0_86]) ).
cnf(c_0_103,plain,
( esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(singleton(esk3_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_79])]) ).
cnf(c_0_104,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),cartesian_product2(esk9_0,esk9_0)),
inference(spm,[status(thm)],[c_0_101,c_0_85]) ).
cnf(c_0_105,plain,
( esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0)
| ~ relation(relation_restriction(esk10_0,esk9_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_75]) ).
cnf(c_0_106,plain,
( connected(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1) ),
i_0_32 ).
cnf(c_0_107,plain,
( in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),relation_restriction(X1,esk9_0))
| ~ in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_104]) ).
cnf(c_0_108,plain,
( esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_78]),c_0_79])]) ).
cnf(c_0_109,plain,
( connected(X1)
| ~ in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_106,c_0_86]) ).
cnf(c_0_110,plain,
( esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0))
| in(unordered_pair(singleton(esk2_1(relation_restriction(esk10_0,esk9_0))),unordered_pair(esk2_1(relation_restriction(esk10_0,esk9_0)),esk3_1(relation_restriction(esk10_0,esk9_0)))),relation_restriction(esk10_0,esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_79])]) ).
cnf(c_0_111,plain,
( esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0))
| ~ relation(relation_restriction(esk10_0,esk9_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_75]) ).
cnf(c_0_112,plain,
( connected(X1)
| esk2_1(X1) != esk3_1(X1)
| ~ relation(X1) ),
i_0_33 ).
cnf(c_0_113,plain,
esk3_1(relation_restriction(esk10_0,esk9_0)) = esk2_1(relation_restriction(esk10_0,esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_78]),c_0_79])]) ).
cnf(c_0_114,plain,
~ relation(relation_restriction(esk10_0,esk9_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_75]) ).
cnf(c_0_115,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_78]),c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU253+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 : n004.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 23:57:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 8.19/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.19/2.45 # No SInE strategy applied
% 8.19/2.45 # Trying AutoSched0 for 150 seconds
% 8.19/2.45 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 8.19/2.45 # and selection function SelectNewComplexAHP.
% 8.19/2.45 #
% 8.19/2.45 # Preprocessing time : 0.024 s
% 8.19/2.45 # Presaturation interreduction done
% 8.19/2.45
% 8.19/2.45 # Proof found!
% 8.19/2.45 # SZS status Theorem
% 8.19/2.45 # SZS output start CNFRefutation
% See solution above
% 8.19/2.45 # Training examples: 0 positive, 0 negative
% 8.19/2.45
% 8.19/2.45 # -------------------------------------------------
% 8.19/2.45 # User time : 0.076 s
% 8.19/2.45 # System time : 0.009 s
% 8.19/2.45 # Total time : 0.085 s
% 8.19/2.45 # Maximum resident set size: 7124 pages
% 8.19/2.45
%------------------------------------------------------------------------------