%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU185+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:39:18 EDT 2022
% Result : Theorem 16.77s 3.53s
% Output : CNFRefutation 16.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 51 ( 12 unt; 2 nHn; 47 RR)
% Number of literals : 155 ( 15 equ; 105 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 112 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_21) ).
cnf(i_0_2,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_2) ).
cnf(i_0_16,plain,
( in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_16) ).
cnf(i_0_11,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_11) ).
cnf(i_0_15,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_15) ).
cnf(i_0_8,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_8) ).
cnf(i_0_54,negated_conjecture,
subset(relation_dom(esk18_0),relation_rng(esk19_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_54) ).
cnf(i_0_56,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_56) ).
cnf(i_0_55,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_55) ).
cnf(i_0_6,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_6) ).
cnf(i_0_3,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_3) ).
cnf(i_0_52,plain,
( subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_52) ).
cnf(i_0_7,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_7) ).
cnf(i_0_53,negated_conjecture,
relation_rng(relation_composition(esk19_0,esk18_0)) != relation_rng(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_53) ).
cnf(i_0_31,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ewovvagb/input.p',i_0_31) ).
cnf(c_0_72,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| ~ relation(X3)
| ~ relation(X5)
| ~ relation(X4)
| ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
i_0_21 ).
cnf(c_0_73,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3)
| ~ relation(relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_74,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_2 ).
cnf(c_0_75,plain,
( in(unordered_pair(unordered_pair(esk5_3(X1,X2,X3),X3),singleton(esk5_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_16 ).
cnf(c_0_76,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| ~ in(unordered_pair(unordered_pair(X2,X5),singleton(X5)),X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3)
| ~ relation(relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_rng(X2),X1)),singleton(esk5_3(X2,relation_rng(X2),X1))),X2)
| ~ in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_74])]) ).
cnf(c_0_78,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
i_0_11 ).
cnf(c_0_79,plain,
( in(X1,X2)
| X2 != relation_rng(X3)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
i_0_15 ).
cnf(c_0_80,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk5_3(X4,relation_rng(X4),X2))),X3)
| ~ in(X2,relation_rng(X4))
| ~ relation(relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_74]) ).
cnf(c_0_81,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_82,plain,
( in(X1,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_83,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| ~ in(unordered_pair(singleton(X1),unordered_pair(esk5_3(X4,relation_rng(X4),X2),X1)),X3)
| ~ in(X2,relation_rng(X4))
| ~ relation(relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_74]) ).
cnf(c_0_84,plain,
( in(unordered_pair(singleton(esk5_3(X1,relation_rng(X1),X2)),unordered_pair(X2,esk5_3(X1,relation_rng(X1),X2))),X1)
| ~ in(X2,relation_rng(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_74]) ).
cnf(c_0_85,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_8 ).
cnf(c_0_86,negated_conjecture,
subset(relation_dom(esk18_0),relation_rng(esk19_0)),
i_0_54 ).
cnf(c_0_87,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X1)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_74]) ).
cnf(c_0_88,plain,
( in(X1,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_74]) ).
cnf(c_0_89,plain,
( in(unordered_pair(unordered_pair(X1,esk5_3(X2,relation_rng(X2),esk5_3(X3,relation_rng(X3),X1))),singleton(esk5_3(X2,relation_rng(X2),esk5_3(X3,relation_rng(X3),X1)))),relation_composition(X2,X3))
| ~ in(esk5_3(X3,relation_rng(X3),X1),relation_rng(X2))
| ~ in(X1,relation_rng(X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_74]) ).
cnf(c_0_90,negated_conjecture,
( in(X1,relation_rng(esk19_0))
| ~ in(X1,relation_dom(esk18_0)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,plain,
( in(esk5_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ in(X2,relation_rng(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_77]) ).
cnf(c_0_92,negated_conjecture,
relation(esk18_0),
i_0_56 ).
cnf(c_0_93,plain,
( in(X1,relation_rng(relation_composition(X2,X3)))
| ~ in(esk5_3(X3,relation_rng(X3),X1),relation_rng(X2))
| ~ in(X1,relation_rng(X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( in(esk5_3(esk18_0,relation_rng(esk18_0),X1),relation_rng(esk19_0))
| ~ in(X1,relation_rng(esk18_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_95,negated_conjecture,
relation(esk19_0),
i_0_55 ).
cnf(c_0_96,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_6 ).
cnf(c_0_97,negated_conjecture,
( in(X1,relation_rng(relation_composition(esk19_0,esk18_0)))
| ~ in(X1,relation_rng(esk18_0))
| ~ relation(relation_composition(esk19_0,esk18_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_92]),c_0_95])]) ).
cnf(c_0_98,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_3 ).
cnf(c_0_99,plain,
( subset(relation_rng(relation_composition(X1,X2)),relation_rng(X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_52 ).
cnf(c_0_100,plain,
( subset(X1,relation_rng(relation_composition(esk19_0,esk18_0)))
| ~ in(esk1_2(X1,relation_rng(relation_composition(esk19_0,esk18_0))),relation_rng(esk18_0))
| ~ relation(relation_composition(esk19_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_7 ).
cnf(c_0_102,plain,
( relation_rng(relation_composition(X1,X2)) = relation_rng(X2)
| ~ subset(relation_rng(X2),relation_rng(relation_composition(X1,X2)))
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
( subset(relation_rng(esk18_0),relation_rng(relation_composition(esk19_0,esk18_0)))
| ~ relation(relation_composition(esk19_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_104,negated_conjecture,
relation_rng(relation_composition(esk19_0,esk18_0)) != relation_rng(esk18_0),
i_0_53 ).
cnf(c_0_105,plain,
~ relation(relation_composition(esk19_0,esk18_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_92]),c_0_95])]),c_0_104]) ).
cnf(c_0_106,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_31 ).
cnf(c_0_107,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_92]),c_0_95])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU185+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 : n021.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 09:10:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected complete mode:
% 16.77/3.53 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 16.77/3.53 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 16.77/3.53 # Preprocessing time : 1.202 s
% 16.77/3.53 # Presaturation interreduction done
% 16.77/3.53
% 16.77/3.53 # Proof found!
% 16.77/3.53 # SZS status Theorem
% 16.77/3.53 # SZS output start CNFRefutation
% See solution above
% 16.77/3.53 # Training examples: 0 positive, 0 negative
% 16.77/3.53
% 16.77/3.53 # -------------------------------------------------
% 16.77/3.53 # User time : 1.142 s
% 16.77/3.53 # System time : 0.154 s
% 16.77/3.53 # Total time : 1.296 s
% 16.77/3.53 # ...preprocessing : 1.202 s
% 16.77/3.53 # ...main loop : 0.094 s
% 16.77/3.53 # Maximum resident set size: 183684 pages
% 16.77/3.53
%------------------------------------------------------------------------------