TSTP Solution File: ALG223+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 : Thu Jul 14 15:33:08 EDT 2022
% Result : Theorem 9.50s 2.61s
% Output : CNFRefutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 57 ( 20 unt; 7 nHn; 57 RR)
% Number of literals : 158 ( 0 equ; 102 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 92 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
( r2_hidden(esk6_5(X1,X2,X3,X4,X5),X3)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X4)
| ~ r1_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_19) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_5) ).
cnf(i_0_7,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_7) ).
cnf(i_0_6,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_6) ).
cnf(i_0_74,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_74) ).
cnf(i_0_17,plain,
( r1_closure3(X1,X2,X3,X4)
| r2_hidden(esk7_4(X1,X2,X3,X4),X4)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_17) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_4) ).
cnf(i_0_2,negated_conjecture,
r1_closure3(esk1_0,esk2_0,esk5_0,esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
r1_closure3(esk1_0,esk2_0,esk4_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_3) ).
cnf(i_0_1,negated_conjecture,
~ r1_closure3(esk1_0,esk2_0,esk5_0,esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_1) ).
cnf(i_0_82,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_82) ).
cnf(i_0_76,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_76) ).
cnf(i_0_18,plain,
( r1_tarski(X1,esk6_5(X2,X3,X4,X5,X1))
| ~ m1_pboole(X3,X2)
| ~ r2_hidden(X1,X5)
| ~ r1_closure3(X2,X3,X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_18) ).
cnf(i_0_75,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_75) ).
cnf(i_0_16,plain,
( r1_closure3(X1,X2,X3,X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(esk7_4(X1,X2,X3,X4),X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5vzclzvg/lgb.p',i_0_16) ).
cnf(c_0_98,plain,
( r2_hidden(esk6_5(X1,X2,X3,X4,X5),X3)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X4)
| ~ r1_closure3(X1,X2,X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
i_0_19 ).
cnf(c_0_99,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
i_0_5 ).
cnf(c_0_100,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
i_0_7 ).
cnf(c_0_101,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
i_0_6 ).
cnf(c_0_102,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_74 ).
cnf(c_0_103,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,X1,esk4_0,X2),X1)
| ~ r2_hidden(X2,esk4_0)
| ~ r1_closure3(esk1_0,esk2_0,X1,esk4_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
cnf(c_0_104,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,X1,esk3_0,X2),X1)
| ~ r2_hidden(X2,esk3_0)
| ~ r1_closure3(esk1_0,esk2_0,X1,esk3_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_101]),c_0_100])]) ).
cnf(c_0_105,plain,
( r1_closure3(X1,X2,X3,X4)
| r2_hidden(esk7_4(X1,X2,X3,X4),X4)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
i_0_17 ).
cnf(c_0_106,plain,
( m1_subset_1(esk6_5(esk1_0,esk2_0,X1,esk4_0,X2),X1)
| ~ r2_hidden(X2,esk4_0)
| ~ r1_closure3(esk1_0,esk2_0,X1,esk4_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
i_0_4 ).
cnf(c_0_108,negated_conjecture,
r1_closure3(esk1_0,esk2_0,esk5_0,esk4_0),
i_0_2 ).
cnf(c_0_109,plain,
( m1_subset_1(esk6_5(esk1_0,esk2_0,X1,esk3_0,X2),X1)
| ~ r2_hidden(X2,esk3_0)
| ~ r1_closure3(esk1_0,esk2_0,X1,esk3_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
r1_closure3(esk1_0,esk2_0,esk4_0,esk3_0),
i_0_3 ).
cnf(c_0_111,negated_conjecture,
( r2_hidden(esk7_4(esk1_0,esk2_0,X1,esk3_0),esk3_0)
| r1_closure3(esk1_0,esk2_0,X1,esk3_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_101]),c_0_100])]) ).
cnf(c_0_112,negated_conjecture,
~ r1_closure3(esk1_0,esk2_0,esk5_0,esk3_0),
i_0_1 ).
cnf(c_0_113,negated_conjecture,
( m1_subset_1(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,X1),esk5_0)
| ~ r2_hidden(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).
cnf(c_0_114,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_82 ).
cnf(c_0_115,negated_conjecture,
( m1_subset_1(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,X1),esk4_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_99]),c_0_110])]) ).
cnf(c_0_116,negated_conjecture,
r2_hidden(esk7_4(esk1_0,esk2_0,esk5_0,esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_107]),c_0_112]) ).
cnf(c_0_117,negated_conjecture,
( m1_subset_1(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,X1)),esk5_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_104]),c_0_110]),c_0_99])]) ).
cnf(c_0_118,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk3_0)
| ~ r1_closure3(esk1_0,esk2_0,X1,esk3_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_114,c_0_104]) ).
cnf(c_0_119,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_76 ).
cnf(c_0_120,negated_conjecture,
m1_subset_1(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0)),esk4_0),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_121,plain,
( r1_tarski(X1,esk6_5(X2,X3,X4,X5,X1))
| ~ m1_pboole(X3,X2)
| ~ r2_hidden(X1,X5)
| ~ r1_closure3(X2,X3,X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X2,X3))) ),
i_0_18 ).
cnf(c_0_122,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk4_0)
| ~ r1_closure3(esk1_0,esk2_0,X1,esk4_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_114,c_0_103]) ).
cnf(c_0_123,negated_conjecture,
m1_subset_1(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0))),esk5_0),
inference(spm,[status(thm)],[c_0_117,c_0_116]) ).
cnf(c_0_124,negated_conjecture,
( ~ v1_xboole_0(esk4_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_99]),c_0_110])]) ).
cnf(c_0_125,plain,
( v1_xboole_0(esk4_0)
| r2_hidden(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_126,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_75 ).
cnf(c_0_127,negated_conjecture,
( r1_tarski(X1,esk6_5(esk1_0,esk2_0,X2,esk4_0,X1))
| ~ r2_hidden(X1,esk4_0)
| ~ r1_closure3(esk1_0,esk2_0,X2,esk4_0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_99]),c_0_100])]) ).
cnf(c_0_128,negated_conjecture,
( ~ v1_xboole_0(esk5_0)
| ~ r2_hidden(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_107]),c_0_108])]) ).
cnf(c_0_129,plain,
( v1_xboole_0(esk5_0)
| r2_hidden(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_119,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0)),esk4_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( r1_closure3(X1,X2,X3,X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(esk7_4(X1,X2,X3,X4),X5) ),
i_0_16 ).
cnf(c_0_132,plain,
( r1_tarski(X1,esk6_5(esk1_0,esk2_0,X2,esk4_0,X3))
| ~ r2_hidden(X3,esk4_0)
| ~ r1_tarski(X1,X3)
| ~ r1_closure3(esk1_0,esk2_0,X2,esk4_0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0))),esk5_0)
| ~ r2_hidden(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
r2_hidden(esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0)),esk4_0),
inference(spm,[status(thm)],[c_0_130,c_0_116]) ).
cnf(c_0_135,plain,
( r1_closure3(X1,X2,X3,X4)
| ~ r2_hidden(esk6_5(esk1_0,esk2_0,X5,esk4_0,X6),X3)
| ~ r2_hidden(X6,esk4_0)
| ~ r1_tarski(esk7_4(X1,X2,X3,X4),X6)
| ~ r1_closure3(esk1_0,esk2_0,X5,esk4_0)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
r2_hidden(esk6_5(esk1_0,esk2_0,esk5_0,esk4_0,esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0))),esk5_0),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,negated_conjecture,
( r1_closure3(X1,X2,esk5_0,X3)
| ~ r1_tarski(esk7_4(X1,X2,esk5_0,X3),esk6_5(esk1_0,esk2_0,esk4_0,esk3_0,esk7_4(esk1_0,esk2_0,esk5_0,esk3_0)))
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_134]),c_0_108]),c_0_107])]) ).
cnf(c_0_138,negated_conjecture,
( r1_tarski(X1,esk6_5(esk1_0,esk2_0,X2,esk3_0,X1))
| ~ r2_hidden(X1,esk3_0)
| ~ r1_closure3(esk1_0,esk2_0,X2,esk3_0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_101]),c_0_100])]) ).
cnf(c_0_139,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_137,c_0_138]),c_0_100]),c_0_107]),c_0_101]),c_0_116]),c_0_110]),c_0_99])]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.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 : Tue Jun 7 23:25:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.50/2.61 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.50/2.61 # No SInE strategy applied
% 9.50/2.61 # Trying AutoSched0 for 150 seconds
% 9.50/2.61 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S059I
% 9.50/2.61 # and selection function SelectComplexExceptUniqMaxPosHorn.
% 9.50/2.61 #
% 9.50/2.61 # Preprocessing time : 0.023 s
% 9.50/2.61 # Presaturation interreduction done
% 9.50/2.61
% 9.50/2.61 # Proof found!
% 9.50/2.61 # SZS status Theorem
% 9.50/2.61 # SZS output start CNFRefutation
% See solution above
% 9.50/2.61 # Training examples: 0 positive, 0 negative
% 9.50/2.61
% 9.50/2.61 # -------------------------------------------------
% 9.50/2.61 # User time : 0.190 s
% 9.50/2.61 # System time : 0.012 s
% 9.50/2.61 # Total time : 0.202 s
% 9.50/2.61 # Maximum resident set size: 7128 pages
% 9.50/2.61
%------------------------------------------------------------------------------