TSTP Solution File: SEU437+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU437+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:42:30 EDT 2022
% Result : Theorem 16.51s 3.48s
% Output : CNFRefutation 16.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 55 ( 15 unt; 15 nHn; 48 RR)
% Number of literals : 176 ( 2 equ; 106 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 157 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_81,plain,
( r2_hidden(X1,k9_relat_1(X2,k1_tarski(X3)))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_81) ).
cnf(i_0_9,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_9) ).
cnf(i_0_12,plain,
( r2_hidden(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r2_hidden(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_12) ).
cnf(i_0_2,negated_conjecture,
r1_tarski(esk4_0,esk5_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_2) ).
cnf(i_0_8,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_8) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_3) ).
cnf(i_0_82,plain,
( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X2,k9_relat_1(X3,k1_tarski(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_82) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_4) ).
cnf(i_0_76,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_76) ).
cnf(i_0_29,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_29) ).
cnf(i_0_77,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_77) ).
cnf(i_0_72,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,k9_relat_1(X3,k1_tarski(X4)))
| ~ m1_subset_1(X2,X1)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X6,X1)))
| ~ r2_hidden(X2,k8_relset_2(X6,X1,X5,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_72) ).
cnf(i_0_11,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk6_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_11) ).
cnf(i_0_70,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,k8_relset_2(X3,X1,X4,X5))
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))
| ~ r2_hidden(X2,k9_relat_1(X5,k1_tarski(esk17_5(X1,X3,X4,X2,X5)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_70) ).
cnf(i_0_71,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,k8_relset_2(X3,X1,X4,X5))
| r2_hidden(esk17_5(X1,X3,X4,X2,X5),X4)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_71) ).
cnf(i_0_10,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk6_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_10) ).
cnf(i_0_1,negated_conjecture,
~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gs6nktqh/input.p',i_0_5) ).
cnf(c_0_101,plain,
( r2_hidden(X1,k9_relat_1(X2,k1_tarski(X3)))
| ~ v1_relat_1(X2)
| ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),X2) ),
i_0_81 ).
cnf(c_0_102,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
i_0_9 ).
cnf(c_0_103,plain,
( r2_hidden(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r2_hidden(X1,X3) ),
i_0_12 ).
cnf(c_0_104,negated_conjecture,
r1_tarski(esk4_0,esk5_0),
i_0_2 ).
cnf(c_0_105,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_8 ).
cnf(c_0_106,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
i_0_3 ).
cnf(c_0_107,plain,
( r2_hidden(X1,k9_relat_1(X2,k1_tarski(X3)))
| ~ r2_hidden(k2_tarski(k1_tarski(X3),k2_tarski(X3,X1)),X2)
| ~ v1_relat_1(X2) ),
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
( r2_hidden(X1,esk5_0)
| ~ r2_hidden(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
| ~ v1_relat_1(X3)
| ~ r2_hidden(X2,k9_relat_1(X3,k1_tarski(X1))) ),
i_0_82 ).
cnf(c_0_111,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
i_0_4 ).
cnf(c_0_112,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
i_0_76 ).
cnf(c_0_113,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
i_0_29 ).
cnf(c_0_114,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_77 ).
cnf(c_0_115,plain,
( r2_hidden(X1,k9_relat_1(esk5_0,k1_tarski(X2)))
| ~ r2_hidden(k2_tarski(k1_tarski(X2),k2_tarski(X2,X1)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_116,plain,
( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),X3)
| ~ r2_hidden(X2,k9_relat_1(X3,k1_tarski(X1)))
| ~ v1_relat_1(X3) ),
inference(rw,[status(thm)],[c_0_110,c_0_102]) ).
cnf(c_0_117,negated_conjecture,
v1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_105,c_0_111]) ).
cnf(c_0_118,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,k9_relat_1(X3,k1_tarski(X4)))
| ~ m1_subset_1(X2,X1)
| ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X6,X1)))
| ~ r2_hidden(X2,k8_relset_2(X6,X1,X5,X3)) ),
i_0_72 ).
cnf(c_0_119,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk6_2(X1,X2),X1) ),
i_0_11 ).
cnf(c_0_120,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,k8_relset_2(X3,X2,X4,X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_121,plain,
( ~ r2_hidden(X1,k8_relset_2(X2,X3,X4,X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_113]) ).
cnf(c_0_122,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,k8_relset_2(X3,X1,X4,X5))
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))
| ~ r2_hidden(X2,k9_relat_1(X5,k1_tarski(esk17_5(X1,X3,X4,X2,X5)))) ),
i_0_70 ).
cnf(c_0_123,plain,
( r2_hidden(X1,k9_relat_1(esk5_0,k1_tarski(X2)))
| ~ r2_hidden(X1,k9_relat_1(esk4_0,k1_tarski(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]) ).
cnf(c_0_124,plain,
( r2_hidden(esk6_2(k8_relset_2(X1,X2,X3,X4),X5),k9_relat_1(X4,k1_tarski(X6)))
| r1_tarski(k8_relset_2(X1,X2,X3,X4),X5)
| v1_xboole_0(X2)
| ~ r2_hidden(X6,X3)
| ~ m1_subset_1(esk6_2(k8_relset_2(X1,X2,X3,X4),X5),X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_125,plain,
( m1_subset_1(esk6_2(k8_relset_2(X1,X2,X3,X4),X5),X2)
| r1_tarski(k8_relset_2(X1,X2,X3,X4),X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_120,c_0_119]) ).
cnf(c_0_126,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,X4),X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_119]) ).
cnf(c_0_127,plain,
( r2_hidden(X1,k8_relset_2(X2,X3,X4,esk5_0))
| v1_xboole_0(X3)
| ~ r2_hidden(X1,k9_relat_1(esk4_0,k1_tarski(esk17_5(X3,X2,X4,X1,esk5_0))))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_128,plain,
( r2_hidden(esk6_2(k8_relset_2(X1,X2,X3,X4),X5),k9_relat_1(X4,k1_tarski(X6)))
| r1_tarski(k8_relset_2(X1,X2,X3,X4),X5)
| ~ r2_hidden(X6,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_129,plain,
( r2_hidden(esk6_2(k8_relset_2(X1,X2,X3,esk4_0),X4),k8_relset_2(X5,X6,X7,esk5_0))
| r1_tarski(k8_relset_2(X1,X2,X3,esk4_0),X4)
| v1_xboole_0(X6)
| ~ r2_hidden(esk17_5(X6,X5,X7,esk6_2(k8_relset_2(X1,X2,X3,esk4_0),X4),esk5_0),X3)
| ~ m1_subset_1(esk6_2(k8_relset_2(X1,X2,X3,esk4_0),X4),X6)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X7,k1_zfmisc_1(X5))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_130,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,k8_relset_2(X3,X1,X4,X5))
| r2_hidden(esk17_5(X1,X3,X4,X2,X5),X4)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1))) ),
i_0_71 ).
cnf(c_0_131,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk6_2(X1,X2),X2) ),
i_0_10 ).
cnf(c_0_132,plain,
( r2_hidden(esk6_2(k8_relset_2(X1,X2,X3,esk4_0),X4),k8_relset_2(X5,X6,X3,esk5_0))
| r1_tarski(k8_relset_2(X1,X2,X3,esk4_0),X4)
| v1_xboole_0(X6)
| ~ m1_subset_1(esk6_2(k8_relset_2(X1,X2,X3,esk4_0),X4),X6)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X5))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,esk4_0),k8_relset_2(X4,X5,X3,esk5_0))
| v1_xboole_0(X5)
| ~ m1_subset_1(esk6_2(k8_relset_2(X1,X2,X3,esk4_0),k8_relset_2(X4,X5,X3,esk5_0)),X5)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_134,negated_conjecture,
~ r1_tarski(k8_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k8_relset_2(esk1_0,esk2_0,esk3_0,esk5_0)),
i_0_1 ).
cnf(c_0_135,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,esk4_0),k8_relset_2(X4,X2,X3,esk5_0))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(X4,X2)))
| ~ m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_125]),c_0_126]) ).
cnf(c_0_136,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
i_0_5 ).
cnf(c_0_137,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_106]),c_0_111]),c_0_136])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU437+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 04:42:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 16.51/3.48 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 16.51/3.48 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 16.51/3.48 # Preprocessing time : 1.164 s
% 16.51/3.48
% 16.51/3.48 # Proof found!
% 16.51/3.48 # SZS status Theorem
% 16.51/3.48 # SZS output start CNFRefutation
% See solution above
% 16.51/3.48 # Training examples: 0 positive, 0 negative
% 16.51/3.48
% 16.51/3.48 # -------------------------------------------------
% 16.51/3.48 # User time : 1.056 s
% 16.51/3.48 # System time : 0.139 s
% 16.51/3.48 # Total time : 1.195 s
% 16.51/3.48 # ...preprocessing : 1.164 s
% 16.51/3.48 # ...main loop : 0.031 s
% 16.51/3.48 # Maximum resident set size: 177916 pages
% 16.51/3.48
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