TSTP Solution File: SEU011+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU011+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 08:38:00 EDT 2022
% Result : Theorem 14.72s 3.27s
% Output : CNFRefutation 14.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of clauses : 52 ( 14 unt; 3 nHn; 40 RR)
% Number of literals : 190 ( 61 equ; 138 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 117 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_8) ).
cnf(i_0_55,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_55) ).
cnf(i_0_12,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_12) ).
cnf(i_0_24,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_24) ).
cnf(i_0_50,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_50) ).
cnf(i_0_33,plain,
set_intersection2(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_33) ).
cnf(i_0_66,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk14_2(X1,X2)) != apply(X2,esk14_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_66) ).
cnf(i_0_56,plain,
( relation_dom(X1) = X2
| X1 != identity_relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_56) ).
cnf(i_0_57,plain,
( relation_dom(relation_composition(identity_relation(X1),X2)) = set_intersection2(relation_dom(X2),X1)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_57) ).
cnf(i_0_9,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_9) ).
cnf(i_0_10,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_10) ).
cnf(i_0_67,plain,
( X1 = X2
| in(esk14_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_67) ).
cnf(i_0_19,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_19) ).
cnf(i_0_60,negated_conjecture,
relation_composition(identity_relation(esk13_0),identity_relation(esk12_0)) != identity_relation(set_intersection2(esk12_0,esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_60) ).
cnf(i_0_4,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_4) ).
cnf(i_0_11,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7nlhkr2p/input.p',i_0_11) ).
cnf(c_0_84,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_8 ).
cnf(c_0_85,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X3) ),
i_0_55 ).
cnf(c_0_86,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_87,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(set_intersection2(X3,X4))
| ~ in(X2,X4)
| ~ in(X2,X3)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_88,plain,
relation(identity_relation(X1)),
i_0_12 ).
cnf(c_0_89,plain,
function(identity_relation(X1)),
i_0_24 ).
cnf(c_0_90,plain,
( apply(relation_composition(X1,X2),X3) = apply(X2,apply(X1,X3))
| ~ function(X1)
| ~ function(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ in(X3,relation_dom(relation_composition(X1,X2))) ),
i_0_50 ).
cnf(c_0_91,plain,
( apply(identity_relation(set_intersection2(X1,X2)),X3) = X3
| ~ in(X3,X2)
| ~ in(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_87]),c_0_88]),c_0_89])]) ).
cnf(c_0_92,plain,
( apply(relation_composition(X1,identity_relation(set_intersection2(X2,X3))),X4) = apply(X1,X4)
| ~ in(X4,relation_dom(relation_composition(X1,identity_relation(set_intersection2(X2,X3)))))
| ~ in(apply(X1,X4),X3)
| ~ in(apply(X1,X4),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_88]),c_0_89])]) ).
cnf(c_0_93,plain,
set_intersection2(X1,X1) = X1,
i_0_33 ).
cnf(c_0_94,plain,
( X1 = X2
| relation_dom(X1) != relation_dom(X2)
| apply(X1,esk14_2(X1,X2)) != apply(X2,esk14_2(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_66 ).
cnf(c_0_95,plain,
( apply(relation_composition(X1,identity_relation(X2)),X3) = apply(X1,X3)
| ~ in(X3,relation_dom(relation_composition(X1,identity_relation(X2))))
| ~ in(apply(X1,X3),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
( relation_dom(X1) = X2
| X1 != identity_relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_56 ).
cnf(c_0_97,plain,
( X1 = relation_composition(X2,identity_relation(X3))
| apply(X1,esk14_2(X1,relation_composition(X2,identity_relation(X3)))) != apply(X2,esk14_2(X1,relation_composition(X2,identity_relation(X3))))
| relation_dom(X1) != relation_dom(relation_composition(X2,identity_relation(X3)))
| ~ in(esk14_2(X1,relation_composition(X2,identity_relation(X3))),relation_dom(relation_composition(X2,identity_relation(X3))))
| ~ in(apply(X2,esk14_2(X1,relation_composition(X2,identity_relation(X3)))),X3)
| ~ relation(relation_composition(X2,identity_relation(X3)))
| ~ relation(X1)
| ~ relation(X2)
| ~ function(relation_composition(X2,identity_relation(X3)))
| ~ function(X1)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,plain,
( relation_dom(relation_composition(identity_relation(X1),X2)) = set_intersection2(relation_dom(X2),X1)
| ~ function(X2)
| ~ relation(X2) ),
i_0_57 ).
cnf(c_0_99,plain,
relation_dom(identity_relation(X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_96]),c_0_88]),c_0_89])]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_9 ).
cnf(c_0_101,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_10 ).
cnf(c_0_102,plain,
( X1 = relation_composition(identity_relation(X2),identity_relation(X3))
| apply(X1,esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3)))) != apply(identity_relation(X2),esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3))))
| relation_dom(X1) != set_intersection2(X3,X2)
| ~ in(apply(identity_relation(X2),esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3)))),X3)
| ~ in(esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3))),set_intersection2(X3,X2))
| ~ relation(relation_composition(identity_relation(X2),identity_relation(X3)))
| ~ relation(X1)
| ~ function(relation_composition(identity_relation(X2),identity_relation(X3)))
| ~ function(X1) ),
inference(cn,[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(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_99]),c_0_88]),c_0_89]),c_0_88]),c_0_89])]) ).
cnf(c_0_103,plain,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_93]) ).
cnf(c_0_104,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_100]) ).
cnf(c_0_105,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_106,plain,
( X1 = X2
| in(esk14_2(X1,X2),relation_dom(X1))
| relation_dom(X1) != relation_dom(X2)
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_67 ).
cnf(c_0_107,plain,
( X1 = relation_composition(identity_relation(X2),identity_relation(X3))
| apply(X1,esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3)))) != esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3)))
| relation_dom(X1) != set_intersection2(X3,X2)
| ~ in(esk14_2(X1,relation_composition(identity_relation(X2),identity_relation(X3))),set_intersection2(X3,X2))
| ~ relation(relation_composition(identity_relation(X2),identity_relation(X3)))
| ~ relation(X1)
| ~ function(relation_composition(identity_relation(X2),identity_relation(X3)))
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]) ).
cnf(c_0_108,plain,
( identity_relation(X1) = X2
| in(esk14_2(identity_relation(X1),X2),X1)
| X1 != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_99]),c_0_88]),c_0_89])]) ).
cnf(c_0_109,plain,
( relation_composition(identity_relation(X1),identity_relation(X2)) = identity_relation(set_intersection2(X2,X1))
| apply(identity_relation(set_intersection2(X2,X1)),esk14_2(identity_relation(set_intersection2(X2,X1)),relation_composition(identity_relation(X1),identity_relation(X2)))) != esk14_2(identity_relation(set_intersection2(X2,X1)),relation_composition(identity_relation(X1),identity_relation(X2)))
| relation_dom(relation_composition(identity_relation(X1),identity_relation(X2))) != set_intersection2(X2,X1)
| ~ relation(relation_composition(identity_relation(X1),identity_relation(X2)))
| ~ function(relation_composition(identity_relation(X1),identity_relation(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_99]),c_0_88]),c_0_89])]) ).
cnf(c_0_110,plain,
( relation_composition(identity_relation(X1),identity_relation(X2)) = identity_relation(set_intersection2(X2,X1))
| relation_dom(relation_composition(identity_relation(X1),identity_relation(X2))) != set_intersection2(X2,X1)
| ~ relation(relation_composition(identity_relation(X1),identity_relation(X2)))
| ~ function(relation_composition(identity_relation(X1),identity_relation(X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_103]),c_0_108]) ).
cnf(c_0_111,plain,
( relation_composition(identity_relation(X1),identity_relation(X2)) = identity_relation(set_intersection2(X2,X1))
| ~ relation(relation_composition(identity_relation(X1),identity_relation(X2)))
| ~ function(relation_composition(identity_relation(X1),identity_relation(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_98]),c_0_99]),c_0_88]),c_0_89])]) ).
cnf(c_0_112,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_19 ).
cnf(c_0_113,negated_conjecture,
relation_composition(identity_relation(esk13_0),identity_relation(esk12_0)) != identity_relation(set_intersection2(esk12_0,esk13_0)),
i_0_60 ).
cnf(c_0_114,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_4 ).
cnf(c_0_115,plain,
( relation_composition(identity_relation(X1),identity_relation(X2)) = identity_relation(set_intersection2(X2,X1))
| ~ relation(relation_composition(identity_relation(X1),identity_relation(X2))) ),
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_111,c_0_112]),c_0_88]),c_0_88]),c_0_89]),c_0_89])]) ).
cnf(c_0_116,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_11 ).
cnf(c_0_117,negated_conjecture,
relation_composition(identity_relation(esk13_0),identity_relation(esk12_0)) != identity_relation(set_intersection2(esk13_0,esk12_0)),
inference(rw,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
relation_composition(identity_relation(X1),identity_relation(X2)) = identity_relation(set_intersection2(X2,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_88]),c_0_88])]) ).
cnf(c_0_119,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118]),c_0_114])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU011+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n027.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 : Sun Jun 19 22:51:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 14.72/3.27 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.72/3.27 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 14.72/3.27 # Preprocessing time : 0.862 s
% 14.72/3.27
% 14.72/3.27 # Proof found!
% 14.72/3.27 # SZS status Theorem
% 14.72/3.27 # SZS output start CNFRefutation
% See solution above
% 14.72/3.27 # Training examples: 0 positive, 0 negative
% 14.72/3.27
% 14.72/3.27 # -------------------------------------------------
% 14.72/3.27 # User time : 0.856 s
% 14.72/3.27 # System time : 0.095 s
% 14.72/3.27 # Total time : 0.952 s
% 14.72/3.27 # ...preprocessing : 0.862 s
% 14.72/3.27 # ...main loop : 0.090 s
% 14.72/3.27 # Maximum resident set size: 167324 pages
% 14.72/3.27
%------------------------------------------------------------------------------