TSTP Solution File: SEU214+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU214+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 15.14s 3.28s
% Output : CNFRefutation 15.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of clauses : 59 ( 18 unt; 0 nHn; 57 RR)
% Number of literals : 278 ( 59 equ; 223 neg)
% Maximal clause size : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 174 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_11) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_4) ).
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/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_19) ).
cnf(i_0_17,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/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_17) ).
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/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_8) ).
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/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/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/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_7) ).
cnf(i_0_26,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_26) ).
cnf(i_0_59,negated_conjecture,
in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_59) ).
cnf(i_0_61,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_61) ).
cnf(i_0_63,negated_conjecture,
relation(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_63) ).
cnf(i_0_34,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_34) ).
cnf(i_0_62,negated_conjecture,
function(esk16_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_62) ).
cnf(i_0_60,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_60) ).
cnf(i_0_58,negated_conjecture,
apply(relation_composition(esk17_0,esk16_0),esk15_0) != apply(esk16_0,apply(esk17_0,esk15_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ps5c_ki1/input.p',i_0_58) ).
cnf(c_0_79,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_80,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
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,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5))),X2)
| X4 != relation_composition(X2,X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_81,c_0_80]) ).
cnf(c_0_84,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_17 ).
cnf(c_0_85,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_86,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X2 != relation_dom(X4)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,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_88,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_89,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| X2 != apply(X5,X6)
| ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4)
| ~ in(X6,relation_dom(X5))
| ~ relation(X5)
| ~ relation(X4)
| ~ relation(X3)
| ~ function(X5) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
( in(X1,X2)
| X3 != relation_composition(X4,X5)
| X6 != apply(X3,X1)
| X2 != relation_dom(X4)
| ~ in(X1,relation_dom(X3))
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X5)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_91,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X2)
| ~ relation(X1) ),
i_0_26 ).
cnf(c_0_92,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X1)),X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_93,plain,
( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,X4,X5,X1)),singleton(esk4_5(X2,X3,X4,X5,X1))),X3)
| X4 != relation_composition(X2,X3)
| ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X4)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_87,c_0_80]) ).
cnf(c_0_94,plain,
( X1 = apply(X2,X3)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2)
| ~ in(X3,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_80]) ).
cnf(c_0_95,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_composition(X4,X5)
| X2 != apply(X5,X6)
| X6 != apply(X4,X1)
| ~ in(X6,relation_dom(X5))
| ~ in(X1,relation_dom(X4))
| ~ relation(X5)
| ~ relation(X4)
| ~ relation(X3)
| ~ function(X5)
| ~ function(X4) ),
inference(spm,[status(thm)],[c_0_89,c_0_85]) ).
cnf(c_0_96,plain,
( in(X1,X2)
| X3 != apply(relation_composition(X4,X5),X1)
| X2 != relation_dom(X4)
| ~ in(X1,relation_dom(relation_composition(X4,X5)))
| ~ relation(X4)
| ~ relation(X5)
| ~ function(relation_composition(X4,X5)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_91]) ).
cnf(c_0_97,plain,
( in(esk4_5(X1,X2,X3,X4,X5),X6)
| X3 != relation_composition(X1,X2)
| X6 != relation_dom(X2)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,plain,
( esk4_5(X1,X2,X3,X4,X5) = apply(X1,X4)
| X3 != relation_composition(X1,X2)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
| ~ in(X4,relation_dom(X1))
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_83]) ).
cnf(c_0_99,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
| X2 != apply(X4,X5)
| X5 != apply(X3,X1)
| ~ in(X5,relation_dom(X4))
| ~ in(X1,relation_dom(X3))
| ~ relation(X4)
| ~ relation(X3)
| ~ function(X4)
| ~ function(X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_95]),c_0_91]) ).
cnf(c_0_100,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ in(X1,relation_dom(relation_composition(X3,X4)))
| ~ relation(X3)
| ~ relation(X4)
| ~ function(relation_composition(X3,X4)) ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_101,negated_conjecture,
in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))),
i_0_59 ).
cnf(c_0_102,negated_conjecture,
relation(esk17_0),
i_0_61 ).
cnf(c_0_103,negated_conjecture,
relation(esk16_0),
i_0_63 ).
cnf(c_0_104,plain,
( in(esk4_5(X1,X2,X3,X4,X5),X6)
| X3 != relation_composition(X1,X2)
| X5 != apply(X3,X4)
| X6 != relation_dom(X2)
| ~ in(X4,relation_dom(X3))
| ~ relation(X2)
| ~ relation(X3)
| ~ relation(X1)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_85]) ).
cnf(c_0_105,plain,
( esk4_5(X1,X2,X3,X4,X5) = apply(X1,X4)
| X3 != relation_composition(X1,X2)
| X5 != apply(X3,X4)
| ~ in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X3))
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ function(X1)
| ~ function(X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_85]) ).
cnf(c_0_106,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X3))),relation_composition(X4,X2))
| X3 != apply(X4,X1)
| ~ in(X3,relation_dom(X2))
| ~ in(X1,relation_dom(X4))
| ~ relation(X2)
| ~ relation(X4)
| ~ function(X2)
| ~ function(X4) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_99]),c_0_80]) ).
cnf(c_0_107,plain,
( function(relation_composition(X1,X2))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| ~ relation(X1) ),
i_0_34 ).
cnf(c_0_108,negated_conjecture,
( in(esk15_0,X1)
| X1 != relation_dom(esk17_0)
| ~ function(relation_composition(esk17_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]) ).
cnf(c_0_109,negated_conjecture,
function(esk16_0),
i_0_62 ).
cnf(c_0_110,negated_conjecture,
function(esk17_0),
i_0_60 ).
cnf(c_0_111,plain,
( in(apply(X1,X2),X3)
| X4 != relation_composition(X1,X5)
| X6 != apply(X4,X2)
| X3 != relation_dom(X5)
| ~ in(X2,relation_dom(X4))
| ~ in(X2,relation_dom(X1))
| ~ relation(X5)
| ~ relation(X4)
| ~ relation(X1)
| ~ function(X4)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
( apply(X1,X2) = apply(relation_composition(X3,X1),X4)
| X2 != apply(X3,X4)
| ~ in(X4,relation_dom(relation_composition(X3,X1)))
| ~ in(X2,relation_dom(X1))
| ~ in(X4,relation_dom(X3))
| ~ relation(X1)
| ~ relation(X3)
| ~ function(X1)
| ~ function(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_106]),c_0_107]),c_0_91]) ).
cnf(c_0_113,plain,
( in(esk15_0,X1)
| X1 != relation_dom(esk17_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_108,c_0_107]),c_0_103]),c_0_102]),c_0_109]),c_0_110])]) ).
cnf(c_0_114,plain,
( in(apply(X1,X2),X3)
| X4 != apply(relation_composition(X1,X5),X2)
| X3 != relation_dom(X5)
| ~ in(X2,relation_dom(relation_composition(X1,X5)))
| ~ in(X2,relation_dom(X1))
| ~ relation(X5)
| ~ relation(X1)
| ~ function(relation_composition(X1,X5))
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_111]),c_0_91]) ).
cnf(c_0_115,negated_conjecture,
apply(relation_composition(esk17_0,esk16_0),esk15_0) != apply(esk16_0,apply(esk17_0,esk15_0)),
i_0_58 ).
cnf(c_0_116,plain,
( apply(X1,apply(X2,X3)) = apply(relation_composition(X2,X1),X3)
| ~ in(X3,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X3),relation_dom(X1))
| ~ in(X3,relation_dom(X2))
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X1)
| ~ function(X2) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_117,plain,
in(esk15_0,relation_dom(esk17_0)),
inference(er,[status(thm)],[c_0_113]) ).
cnf(c_0_118,plain,
( in(apply(X1,X2),X3)
| X3 != relation_dom(X4)
| ~ in(X2,relation_dom(relation_composition(X1,X4)))
| ~ in(X2,relation_dom(X1))
| ~ relation(X4)
| ~ relation(X1)
| ~ function(relation_composition(X1,X4))
| ~ function(X1) ),
inference(er,[status(thm)],[c_0_114]) ).
cnf(c_0_119,negated_conjecture,
~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)),
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_115,c_0_116]),c_0_101]),c_0_117]),c_0_103]),c_0_102]),c_0_109]),c_0_110])]) ).
cnf(c_0_120,negated_conjecture,
( in(apply(esk17_0,esk15_0),X1)
| X1 != relation_dom(esk16_0)
| ~ function(relation_composition(esk17_0,esk16_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_118,c_0_101]),c_0_117]),c_0_103]),c_0_102]),c_0_110])]) ).
cnf(c_0_121,negated_conjecture,
~ function(relation_composition(esk17_0,esk16_0)),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_122,plain,
$false,
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_121,c_0_107]),c_0_103]),c_0_102]),c_0_109]),c_0_110])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU214+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n028.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 : Mon Jun 20 02:10:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 15.14/3.28 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.14/3.28 # 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: 43; version: 991; iters: 150)
% 15.14/3.28 # Preprocessing time : 0.864 s
% 15.14/3.28
% 15.14/3.28 # Proof found!
% 15.14/3.28 # SZS status Theorem
% 15.14/3.28 # SZS output start CNFRefutation
% See solution above
% 15.14/3.28 # Training examples: 0 positive, 0 negative
% 15.14/3.28
% 15.14/3.28 # -------------------------------------------------
% 15.14/3.28 # User time : 0.856 s
% 15.14/3.28 # System time : 0.123 s
% 15.14/3.28 # Total time : 0.979 s
% 15.14/3.28 # ...preprocessing : 0.864 s
% 15.14/3.28 # ...main loop : 0.115 s
% 15.14/3.28 # Maximum resident set size: 168956 pages
% 15.14/3.28
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