TSTP Solution File: SEU254+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:40:07 EDT 2022
% Result : Theorem 8.31s 2.48s
% Output : CNFRefutation 8.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 54 ( 21 unt; 6 nHn; 50 RR)
% Number of literals : 116 ( 2 equ; 59 neg)
% Maximal clause size : 5 ( 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 : 83 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk3_1(X1),esk4_1(X1)),singleton(esk3_1(X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_23) ).
cnf(i_0_6,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_6) ).
cnf(i_0_43,negated_conjecture,
~ transitive(relation_restriction(esk11_0,esk10_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_43) ).
cnf(i_0_24,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_24) ).
cnf(i_0_13,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_13) ).
cnf(i_0_45,negated_conjecture,
relation(esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_45) ).
cnf(i_0_37,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_37) ).
cnf(i_0_40,plain,
( in(X1,cartesian_product2(X2,X2))
| ~ relation(X3)
| ~ in(X1,relation_restriction(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_40) ).
cnf(i_0_38,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_38) ).
cnf(i_0_36,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-fktxx29r/lgb.p',i_0_36) ).
cnf(i_0_25,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ transitive(X3)
| ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_25) ).
cnf(i_0_41,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_41) ).
cnf(i_0_44,negated_conjecture,
transitive(esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_44) ).
cnf(i_0_39,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-fktxx29r/lgb.p',i_0_39) ).
cnf(i_0_22,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk4_1(X1)),singleton(esk2_1(X1))),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fktxx29r/lgb.p',i_0_22) ).
cnf(c_0_61,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk3_1(X1),esk4_1(X1)),singleton(esk3_1(X1))),X1)
| ~ relation(X1) ),
i_0_23 ).
cnf(c_0_62,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_6 ).
cnf(c_0_63,negated_conjecture,
~ transitive(relation_restriction(esk11_0,esk10_0)),
i_0_43 ).
cnf(c_0_64,plain,
( in(unordered_pair(singleton(esk3_1(X1)),unordered_pair(esk3_1(X1),esk4_1(X1))),X1)
| transitive(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk2_1(X1),esk3_1(X1)),singleton(esk2_1(X1))),X1)
| ~ relation(X1) ),
i_0_24 ).
cnf(c_0_66,negated_conjecture,
( in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk3_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),relation_restriction(esk11_0,esk10_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_67,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_13 ).
cnf(c_0_68,negated_conjecture,
relation(esk11_0),
i_0_45 ).
cnf(c_0_69,plain,
( in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk3_1(X1))),X1)
| transitive(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_70,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
i_0_37 ).
cnf(c_0_71,plain,
( in(X1,cartesian_product2(X2,X2))
| ~ relation(X3)
| ~ in(X1,relation_restriction(X3,X2)) ),
i_0_40 ).
cnf(c_0_72,plain,
in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk3_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),relation_restriction(esk11_0,esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_73,negated_conjecture,
( in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk3_1(relation_restriction(esk11_0,esk10_0)))),relation_restriction(esk11_0,esk10_0))
| ~ relation(relation_restriction(esk11_0,esk10_0)) ),
inference(spm,[status(thm)],[c_0_63,c_0_69]) ).
cnf(c_0_74,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_70,c_0_62]) ).
cnf(c_0_75,plain,
in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk3_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),cartesian_product2(esk10_0,esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_68])]) ).
cnf(c_0_76,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),cartesian_product2(X2,X4)) ),
i_0_38 ).
cnf(c_0_77,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk3_1(relation_restriction(esk11_0,esk10_0)))),relation_restriction(esk11_0,esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_67]),c_0_68])]) ).
cnf(c_0_78,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
i_0_36 ).
cnf(c_0_79,plain,
in(esk4_1(relation_restriction(esk11_0,esk10_0)),esk10_0),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_76,c_0_62]) ).
cnf(c_0_81,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk3_1(relation_restriction(esk11_0,esk10_0)))),cartesian_product2(esk10_0,esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_77]),c_0_68])]) ).
cnf(c_0_82,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ transitive(X3)
| ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_25 ).
cnf(c_0_83,plain,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
i_0_41 ).
cnf(c_0_84,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_1(relation_restriction(esk11_0,esk10_0)))),cartesian_product2(X2,esk10_0))
| ~ in(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_62]) ).
cnf(c_0_85,plain,
in(esk2_1(relation_restriction(esk11_0,esk10_0)),esk10_0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3)
| ~ relation(X3)
| ~ transitive(X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_62]) ).
cnf(c_0_87,plain,
in(unordered_pair(singleton(esk3_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk3_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_72]),c_0_68])]) ).
cnf(c_0_88,negated_conjecture,
transitive(esk11_0),
i_0_44 ).
cnf(c_0_89,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
i_0_39 ).
cnf(c_0_90,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),cartesian_product2(esk10_0,esk10_0)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_1(relation_restriction(esk11_0,esk10_0)))),esk11_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_1(relation_restriction(esk11_0,esk10_0)))),esk11_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_62]),c_0_62]),c_0_68]),c_0_88])]) ).
cnf(c_0_92,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk3_1(relation_restriction(esk11_0,esk10_0)))),esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_68])]) ).
cnf(c_0_93,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_1(X1),esk4_1(X1)),singleton(esk2_1(X1))),X1) ),
i_0_22 ).
cnf(c_0_94,plain,
( in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),relation_restriction(X1,esk10_0))
| ~ in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),esk11_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
( transitive(X1)
| ~ in(unordered_pair(singleton(esk2_1(X1)),unordered_pair(esk2_1(X1),esk4_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_93,c_0_62]) ).
cnf(c_0_97,plain,
in(unordered_pair(singleton(esk2_1(relation_restriction(esk11_0,esk10_0))),unordered_pair(esk2_1(relation_restriction(esk11_0,esk10_0)),esk4_1(relation_restriction(esk11_0,esk10_0)))),relation_restriction(esk11_0,esk10_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_68])]) ).
cnf(c_0_98,plain,
~ relation(relation_restriction(esk11_0,esk10_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_63]) ).
cnf(c_0_99,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_67]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU254+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 00:41:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.31/2.48 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.31/2.48 # No SInE strategy applied
% 8.31/2.48 # Trying AutoSched0 for 150 seconds
% 8.31/2.48 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 8.31/2.48 # and selection function SelectNewComplexAHP.
% 8.31/2.48 #
% 8.31/2.48 # Preprocessing time : 0.024 s
% 8.31/2.48 # Presaturation interreduction done
% 8.31/2.48
% 8.31/2.48 # Proof found!
% 8.31/2.48 # SZS status Theorem
% 8.31/2.48 # SZS output start CNFRefutation
% See solution above
% 8.31/2.48 # Training examples: 0 positive, 0 negative
% 8.31/2.48
% 8.31/2.48 # -------------------------------------------------
% 8.31/2.48 # User time : 0.049 s
% 8.31/2.48 # System time : 0.008 s
% 8.31/2.48 # Total time : 0.057 s
% 8.31/2.48 # Maximum resident set size: 7128 pages
% 8.31/2.48
%------------------------------------------------------------------------------