%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU258+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:40:09 EDT 2022
% Result : Theorem 16.53s 3.42s
% Output : CNFRefutation 16.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 41 ( 10 unt; 2 nHn; 35 RR)
% Number of literals : 105 ( 4 equ; 66 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_61,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-fpw74vz_/input.p',i_0_61) ).
cnf(i_0_58,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-fpw74vz_/input.p',i_0_58) ).
cnf(i_0_70,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_70) ).
cnf(i_0_30,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_30) ).
cnf(i_0_46,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
| ~ relation(X2)
| ~ reflexive(X2)
| ~ in(X1,relation_field(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_46) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_12) ).
cnf(i_0_14,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_14) ).
cnf(i_0_73,negated_conjecture,
subset(esk9_0,relation_field(esk10_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_73) ).
cnf(i_0_75,negated_conjecture,
relation(esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_75) ).
cnf(i_0_13,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_13) ).
cnf(i_0_9,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_9) ).
cnf(i_0_72,negated_conjecture,
relation_field(relation_restriction(esk10_0,esk9_0)) != esk9_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_72) ).
cnf(i_0_66,plain,
( subset(relation_field(relation_restriction(X1,X2)),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_66) ).
cnf(i_0_20,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_20) ).
cnf(i_0_74,negated_conjecture,
well_ordering(esk10_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fpw74vz_/input.p',i_0_74) ).
cnf(c_0_91,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
i_0_61 ).
cnf(c_0_92,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
i_0_58 ).
cnf(c_0_93,plain,
( in(X1,relation_field(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
i_0_70 ).
cnf(c_0_94,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_restriction(X3,X4))
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_30 ).
cnf(c_0_96,plain,
( in(X1,relation_field(relation_restriction(X2,X3)))
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X2)
| ~ in(X1,X3)
| ~ in(X4,X3)
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_97,plain,
( in(unordered_pair(unordered_pair(X1,X1),singleton(X1)),X2)
| ~ relation(X2)
| ~ reflexive(X2)
| ~ in(X1,relation_field(X2)) ),
i_0_46 ).
cnf(c_0_98,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_12 ).
cnf(c_0_99,plain,
( in(X1,relation_field(relation_restriction(X2,X3)))
| ~ in(X1,relation_field(X2))
| ~ in(X1,X3)
| ~ reflexive(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_14 ).
cnf(c_0_101,negated_conjecture,
subset(esk9_0,relation_field(esk10_0)),
i_0_73 ).
cnf(c_0_102,plain,
( subset(X1,relation_field(relation_restriction(X2,X3)))
| ~ in(esk1_2(X1,relation_field(relation_restriction(X2,X3))),relation_field(X2))
| ~ in(esk1_2(X1,relation_field(relation_restriction(X2,X3))),X3)
| ~ reflexive(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,negated_conjecture,
( in(X1,relation_field(esk10_0))
| ~ in(X1,esk9_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
relation(esk10_0),
i_0_75 ).
cnf(c_0_105,negated_conjecture,
( subset(X1,relation_field(relation_restriction(esk10_0,X2)))
| ~ in(esk1_2(X1,relation_field(relation_restriction(esk10_0,X2))),esk9_0)
| ~ in(esk1_2(X1,relation_field(relation_restriction(esk10_0,X2))),X2)
| ~ reflexive(esk10_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_106,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_13 ).
cnf(c_0_107,plain,
( subset(esk9_0,relation_field(relation_restriction(esk10_0,X1)))
| ~ in(esk1_2(esk9_0,relation_field(relation_restriction(esk10_0,X1))),X1)
| ~ reflexive(esk10_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_108,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_9 ).
cnf(c_0_109,plain,
( subset(esk9_0,relation_field(relation_restriction(esk10_0,esk9_0)))
| ~ reflexive(esk10_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_106]) ).
cnf(c_0_110,negated_conjecture,
relation_field(relation_restriction(esk10_0,esk9_0)) != esk9_0,
i_0_72 ).
cnf(c_0_111,plain,
( ~ reflexive(esk10_0)
| ~ subset(relation_field(relation_restriction(esk10_0,esk9_0)),esk9_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_112,plain,
( subset(relation_field(relation_restriction(X1,X2)),X2)
| ~ relation(X1) ),
i_0_66 ).
cnf(c_0_113,plain,
~ reflexive(esk10_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_104])]) ).
cnf(c_0_114,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
i_0_20 ).
cnf(c_0_115,negated_conjecture,
well_ordering(esk10_0),
i_0_74 ).
cnf(c_0_116,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU258+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 11:30:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 16.53/3.42 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.53/3.42 # 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: 41; version: 991; iters: 150)
% 16.53/3.42 # Preprocessing time : 0.872 s
% 16.53/3.42
% 16.53/3.42 # Proof found!
% 16.53/3.42 # SZS status Theorem
% 16.53/3.42 # SZS output start CNFRefutation
% See solution above
% 16.53/3.42 # Training examples: 0 positive, 0 negative
% 16.53/3.42
% 16.53/3.42 # -------------------------------------------------
% 16.53/3.42 # User time : 0.911 s
% 16.53/3.42 # System time : 0.105 s
% 16.53/3.42 # Total time : 1.016 s
% 16.53/3.42 # ...preprocessing : 0.872 s
% 16.53/3.42 # ...main loop : 0.144 s
% 16.53/3.42 # Maximum resident set size: 168380 pages
% 16.53/3.42
%------------------------------------------------------------------------------