TSTP Solution File: SEU214+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU214+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 08:39:37 EDT 2022
% Result : Theorem 14.24s 3.14s
% Output : CNFRefutation 14.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 23 unt; 0 nHn; 52 RR)
% Number of literals : 144 ( 19 equ; 92 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 86 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_8) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_4) ).
cnf(i_0_58,negated_conjecture,
in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_58) ).
cnf(i_0_19,plain,
( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_19) ).
cnf(i_0_27,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_27) ).
cnf(i_0_62,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_62) ).
cnf(i_0_60,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_60) ).
cnf(i_0_61,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_61) ).
cnf(i_0_59,negated_conjecture,
function(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_59) ).
cnf(i_0_20,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_20) ).
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-8ngcfbsr/input.p',i_0_11) ).
cnf(i_0_18,plain,
( in(unordered_pair(unordered_pair(esk4_5(X1,X2,X3,X4,X5),X5),singleton(esk4_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_18) ).
cnf(i_0_7,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_7) ).
cnf(i_0_57,negated_conjecture,
apply(relation_composition(esk19_0,esk18_0),esk17_0) != apply(esk18_0,apply(esk19_0,esk17_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8ngcfbsr/input.p',i_0_57) ).
cnf(c_0_77,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
i_0_8 ).
cnf(c_0_78,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_79,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X1))),X2)
| ~ in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_77]),c_0_78]) ).
cnf(c_0_80,negated_conjecture,
in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0))),
i_0_58 ).
cnf(c_0_81,plain,
( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
i_0_19 ).
cnf(c_0_82,negated_conjecture,
( in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0))),relation_composition(esk19_0,esk18_0))
| ~ relation(relation_composition(esk19_0,esk18_0))
| ~ function(relation_composition(esk19_0,esk18_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_27 ).
cnf(c_0_84,negated_conjecture,
relation(esk18_0),
i_0_62 ).
cnf(c_0_85,negated_conjecture,
relation(esk19_0),
i_0_60 ).
cnf(c_0_86,negated_conjecture,
function(esk18_0),
i_0_61 ).
cnf(c_0_87,negated_conjecture,
function(esk19_0),
i_0_59 ).
cnf(c_0_88,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_78])]) ).
cnf(c_0_89,plain,
( in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0))),relation_composition(esk19_0,esk18_0))
| ~ relation(relation_composition(esk19_0,esk18_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_82,c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_90,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_20 ).
cnf(c_0_91,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_92,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_78]) ).
cnf(c_0_93,plain,
in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0))),relation_composition(esk19_0,esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_84]),c_0_85])]) ).
cnf(c_0_94,plain,
( in(unordered_pair(unordered_pair(esk4_5(X1,X2,X3,X4,X5),X5),singleton(esk4_5(X1,X2,X3,X4,X5))),X2)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
i_0_18 ).
cnf(c_0_95,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_91]) ).
cnf(c_0_96,plain,
( in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)))),esk19_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_92,c_0_93]),c_0_84]),c_0_85])]) ).
cnf(c_0_97,plain,
( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk4_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_78])]) ).
cnf(c_0_98,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_78]) ).
cnf(c_0_99,plain,
in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)))),esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_90]),c_0_84]),c_0_85])]) ).
cnf(c_0_100,plain,
( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk4_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X1)),relation_composition(X2,X3))
| ~ relation(relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_78]) ).
cnf(c_0_101,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X3,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
i_0_7 ).
cnf(c_0_102,plain,
in(esk17_0,relation_dom(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_85])]) ).
cnf(c_0_103,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X1)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_78]) ).
cnf(c_0_104,plain,
( in(unordered_pair(singleton(esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0))),unordered_pair(apply(relation_composition(esk19_0,esk18_0),esk17_0),esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)))),esk18_0)
| ~ relation(relation_composition(esk19_0,esk18_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_93]),c_0_84]),c_0_85])]),c_0_78]) ).
cnf(c_0_105,plain,
( X1 = apply(esk19_0,esk17_0)
| ~ in(unordered_pair(unordered_pair(esk17_0,X1),singleton(esk17_0)),esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_85]),c_0_87])]) ).
cnf(c_0_106,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X3,X1)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
cnf(c_0_107,plain,
in(unordered_pair(singleton(esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0))),unordered_pair(apply(relation_composition(esk19_0,esk18_0),esk17_0),esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)))),esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_90]),c_0_84]),c_0_85])]) ).
cnf(c_0_108,plain,
( X1 = apply(esk19_0,esk17_0)
| ~ in(unordered_pair(singleton(esk17_0),unordered_pair(esk17_0,X1)),esk19_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_78]) ).
cnf(c_0_109,plain,
in(esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)),relation_dom(esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_84])]) ).
cnf(c_0_110,plain,
esk4_5(esk19_0,esk18_0,relation_composition(esk19_0,esk18_0),esk17_0,apply(relation_composition(esk19_0,esk18_0),esk17_0)) = apply(esk19_0,esk17_0),
inference(spm,[status(thm)],[c_0_108,c_0_99]) ).
cnf(c_0_111,plain,
in(apply(esk19_0,esk17_0),relation_dom(esk18_0)),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_112,plain,
( X1 = apply(esk18_0,apply(esk19_0,esk17_0))
| ~ in(unordered_pair(unordered_pair(apply(esk19_0,esk17_0),X1),singleton(apply(esk19_0,esk17_0))),esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_111]),c_0_84]),c_0_86])]) ).
cnf(c_0_113,plain,
( X1 = apply(esk18_0,apply(esk19_0,esk17_0))
| ~ in(unordered_pair(singleton(apply(esk19_0,esk17_0)),unordered_pair(apply(esk19_0,esk17_0),X1)),esk18_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_78]) ).
cnf(c_0_114,plain,
in(unordered_pair(singleton(apply(esk19_0,esk17_0)),unordered_pair(apply(esk19_0,esk17_0),apply(relation_composition(esk19_0,esk18_0),esk17_0))),esk18_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_110]),c_0_110]),c_0_78]) ).
cnf(c_0_115,negated_conjecture,
apply(relation_composition(esk19_0,esk18_0),esk17_0) != apply(esk18_0,apply(esk19_0,esk17_0)),
i_0_57 ).
cnf(c_0_116,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU214+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 17:26:18 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 14.24/3.14 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.24/3.14 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 43; version: 991; iters: 150)
% 14.24/3.14 # Preprocessing time : 0.825 s
% 14.24/3.14 # Presaturation interreduction done
% 14.24/3.14
% 14.24/3.14 # Proof found!
% 14.24/3.14 # SZS status Theorem
% 14.24/3.14 # SZS output start CNFRefutation
% See solution above
% 14.24/3.14 # Training examples: 0 positive, 0 negative
% 14.24/3.14
% 14.24/3.14 # -------------------------------------------------
% 14.24/3.14 # User time : 0.842 s
% 14.24/3.14 # System time : 0.100 s
% 14.24/3.14 # Total time : 0.942 s
% 14.24/3.14 # ...preprocessing : 0.825 s
% 14.24/3.14 # ...main loop : 0.116 s
% 14.24/3.14 # Maximum resident set size: 167100 pages
% 14.24/3.14
%------------------------------------------------------------------------------