TSTP Solution File: SEU007+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU007+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:37:58 EDT 2022
% Result : Theorem 20.28s 3.92s
% Output : CNFRefutation 20.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 57 ( 16 unt; 12 nHn; 38 RR)
% Number of literals : 180 ( 41 equ; 104 neg)
% Maximal clause size : 7 ( 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 : 126 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_52,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_52) ).
cnf(i_0_55,plain,
( X1 = X2
| in(esk11_2(X1,X2),X2)
| in(esk11_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_55) ).
cnf(i_0_59,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_59) ).
cnf(i_0_12,plain,
relation(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_12) ).
cnf(i_0_24,plain,
function(identity_relation(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_24) ).
cnf(i_0_9,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_9) ).
cnf(i_0_63,negated_conjecture,
relation(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_63) ).
cnf(i_0_62,negated_conjecture,
function(esk14_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_62) ).
cnf(i_0_60,plain,
( relation_dom(X1) = X2
| X1 != identity_relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_60) ).
cnf(i_0_51,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_51) ).
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-_2impytq/input.p',i_0_8) ).
cnf(i_0_56,plain,
( X1 = X2
| ~ in(esk11_2(X1,X2),X2)
| ~ in(esk11_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_56) ).
cnf(i_0_50,plain,
( in(X1,relation_dom(relation_composition(X2,X3)))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_50) ).
cnf(i_0_10,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_10) ).
cnf(i_0_61,negated_conjecture,
relation_dom(relation_composition(identity_relation(esk13_0),esk14_0)) != set_intersection2(relation_dom(esk14_0),esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_61) ).
cnf(i_0_4,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_2impytq/input.p',i_0_4) ).
cnf(c_0_80,plain,
( in(X1,relation_dom(X2))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X3))) ),
i_0_52 ).
cnf(c_0_81,plain,
( X1 = X2
| in(esk11_2(X1,X2),X2)
| in(esk11_2(X1,X2),X1) ),
i_0_55 ).
cnf(c_0_82,plain,
( apply(X1,X2) = X2
| X1 != identity_relation(X3)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,X3) ),
i_0_59 ).
cnf(c_0_83,plain,
relation(identity_relation(X1)),
i_0_12 ).
cnf(c_0_84,plain,
function(identity_relation(X1)),
i_0_24 ).
cnf(c_0_85,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_9 ).
cnf(c_0_86,plain,
( relation_dom(relation_composition(X1,X2)) = X3
| in(esk11_2(relation_dom(relation_composition(X1,X2)),X3),relation_dom(X1))
| in(esk11_2(relation_dom(relation_composition(X1,X2)),X3),X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
relation(esk14_0),
i_0_63 ).
cnf(c_0_88,negated_conjecture,
function(esk14_0),
i_0_62 ).
cnf(c_0_89,plain,
( relation_dom(X1) = X2
| X1 != identity_relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
i_0_60 ).
cnf(c_0_90,plain,
( in(apply(X1,X2),relation_dom(X3))
| ~ function(X3)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_composition(X1,X3))) ),
i_0_51 ).
cnf(c_0_91,plain,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_82]),c_0_83]),c_0_84])]) ).
cnf(c_0_92,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_93,negated_conjecture,
( relation_dom(relation_composition(X1,esk14_0)) = X2
| in(esk11_2(relation_dom(relation_composition(X1,esk14_0)),X2),relation_dom(X1))
| in(esk11_2(relation_dom(relation_composition(X1,esk14_0)),X2),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_94,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_89]),c_0_83]),c_0_84])]) ).
cnf(c_0_95,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_8 ).
cnf(c_0_96,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(relation_composition(identity_relation(X3),X2)))
| ~ in(X1,X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_83]),c_0_84])]) ).
cnf(c_0_97,plain,
( X1 = set_intersection2(X2,X3)
| in(esk11_2(X1,set_intersection2(X2,X3)),X3)
| in(esk11_2(X1,set_intersection2(X2,X3)),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_81]) ).
cnf(c_0_98,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = X2
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),X2),X1)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_83]),c_0_94]),c_0_84])]) ).
cnf(c_0_99,plain,
( X1 = X2
| ~ in(esk11_2(X1,X2),X2)
| ~ in(esk11_2(X1,X2),X1) ),
i_0_56 ).
cnf(c_0_100,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_95]) ).
cnf(c_0_101,plain,
( in(X1,relation_dom(relation_composition(X2,X3)))
| ~ function(X3)
| ~ function(X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),relation_dom(X3)) ),
i_0_50 ).
cnf(c_0_102,plain,
( relation_dom(relation_composition(identity_relation(X1),X2)) = set_intersection2(X3,X4)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),relation_dom(X2))
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),X4)
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_103,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X2,X3)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,X3)),X3)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,X3)),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_98]) ).
cnf(c_0_104,plain,
( X1 = set_intersection2(X2,X3)
| ~ in(esk11_2(X1,set_intersection2(X2,X3)),X1)
| ~ in(esk11_2(X1,set_intersection2(X2,X3)),X3)
| ~ in(esk11_2(X1,set_intersection2(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
( in(X1,relation_dom(relation_composition(identity_relation(X2),X3)))
| ~ in(X1,relation_dom(X3))
| ~ in(X1,X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_91]),c_0_94]),c_0_83]),c_0_84])]) ).
cnf(c_0_106,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X2,X3)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,X3)),relation_dom(esk14_0))
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,X3)),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_87]),c_0_88])]) ).
cnf(c_0_107,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_10 ).
cnf(c_0_108,plain,
( relation_dom(relation_composition(identity_relation(X1),X2)) = set_intersection2(X3,X4)
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),relation_dom(X2))
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),X4)
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),X3)
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),X2)),set_intersection2(X3,X4)),X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X2,relation_dom(esk14_0))
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,relation_dom(esk14_0))),relation_dom(esk14_0)) ),
inference(ef,[status(thm)],[c_0_106]) ).
cnf(c_0_110,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_107]) ).
cnf(c_0_111,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X2,relation_dom(esk14_0))
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,relation_dom(esk14_0))),relation_dom(esk14_0))
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,relation_dom(esk14_0))),X2)
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,relation_dom(esk14_0))),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_87]),c_0_88])]) ).
cnf(c_0_112,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X2,X3)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,X3)),X2)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,X3)),X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_98]) ).
cnf(c_0_113,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X2,relation_dom(esk14_0))
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,relation_dom(esk14_0))),X2)
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X2,relation_dom(esk14_0))),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_109]) ).
cnf(c_0_114,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X1,X2)
| in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X1,X2)),X1) ),
inference(ef,[status(thm)],[c_0_112]) ).
cnf(c_0_115,negated_conjecture,
relation_dom(relation_composition(identity_relation(esk13_0),esk14_0)) != set_intersection2(relation_dom(esk14_0),esk13_0),
i_0_61 ).
cnf(c_0_116,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_4 ).
cnf(c_0_117,plain,
( relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X1,relation_dom(esk14_0))
| ~ in(esk11_2(relation_dom(relation_composition(identity_relation(X1),esk14_0)),set_intersection2(X1,relation_dom(esk14_0))),X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
relation_dom(relation_composition(identity_relation(esk13_0),esk14_0)) != set_intersection2(esk13_0,relation_dom(esk14_0)),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
relation_dom(relation_composition(identity_relation(X1),esk14_0)) = set_intersection2(X1,relation_dom(esk14_0)),
inference(spm,[status(thm)],[c_0_117,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU007+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n009.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 : Sun Jun 19 19:00:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 20.28/3.92 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 20.28/3.92 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 37; version: 991; iters: 150)
% 20.28/3.92 # Preprocessing time : 1.189 s
% 20.28/3.92 # Presaturation interreduction done
% 20.28/3.92
% 20.28/3.92 # Proof found!
% 20.28/3.92 # SZS status Theorem
% 20.28/3.92 # SZS output start CNFRefutation
% See solution above
% 20.28/3.92 # Training examples: 0 positive, 0 negative
% 20.28/3.92
% 20.28/3.92 # -------------------------------------------------
% 20.28/3.92 # User time : 1.445 s
% 20.28/3.92 # System time : 0.134 s
% 20.28/3.92 # Total time : 1.579 s
% 20.28/3.92 # ...preprocessing : 1.189 s
% 20.28/3.92 # ...main loop : 0.391 s
% 20.28/3.92 # Maximum resident set size: 184780 pages
% 20.28/3.92
%------------------------------------------------------------------------------