TSTP Solution File: ALG224+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG224+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 9.60s 2.64s
% Output : CNFRefutation 9.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 48 ( 20 unt; 3 nHn; 45 RR)
% Number of literals : 133 ( 0 equ; 86 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-5 aty)
% Number of variables : 82 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
( r1_tarski(esk6_5(X1,X2,X3,X4,X5),X5)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ r2_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/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_18) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_5) ).
cnf(i_0_7,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_7) ).
cnf(i_0_77,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_77) ).
cnf(i_0_17,plain,
( r2_closure3(X1,X2,X3,X4)
| r2_hidden(esk7_4(X1,X2,X3,X4),X3)
| ~ 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/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/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/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_4) ).
cnf(i_0_6,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_6) ).
cnf(i_0_3,negated_conjecture,
r2_closure3(esk1_0,esk2_0,esk3_0,esk4_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_3) ).
cnf(i_0_1,negated_conjecture,
~ r2_closure3(esk1_0,esk2_0,esk3_0,esk5_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_1) ).
cnf(i_0_75,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_75) ).
cnf(i_0_78,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_78) ).
cnf(i_0_16,plain,
( r2_closure3(X1,X2,X3,X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(X5,esk7_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_16) ).
cnf(i_0_72,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_72) ).
cnf(i_0_19,plain,
( r2_hidden(esk6_5(X1,X2,X3,X4,X5),X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ r2_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/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_19) ).
cnf(i_0_2,negated_conjecture,
r2_closure3(esk1_0,esk2_0,esk4_0,esk5_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k31a5vmb/lgb.p',i_0_2) ).
cnf(c_0_94,plain,
( r1_tarski(esk6_5(X1,X2,X3,X4,X5),X5)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ r2_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_18 ).
cnf(c_0_95,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
i_0_5 ).
cnf(c_0_96,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
i_0_7 ).
cnf(c_0_97,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_77 ).
cnf(c_0_98,negated_conjecture,
( r1_tarski(esk6_5(esk1_0,esk2_0,X1,esk4_0,X2),X2)
| ~ r2_hidden(X2,X1)
| ~ r2_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_94,c_0_95]),c_0_96])]) ).
cnf(c_0_99,plain,
( r2_closure3(X1,X2,X3,X4)
| r2_hidden(esk7_4(X1,X2,X3,X4),X3)
| ~ 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_100,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
i_0_4 ).
cnf(c_0_101,plain,
( m1_subset_1(esk6_5(esk1_0,esk2_0,X1,esk4_0,X2),k1_zfmisc_1(X2))
| ~ r2_hidden(X2,X1)
| ~ r2_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_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))),
i_0_6 ).
cnf(c_0_103,negated_conjecture,
r2_closure3(esk1_0,esk2_0,esk3_0,esk4_0),
i_0_3 ).
cnf(c_0_104,negated_conjecture,
( r2_hidden(esk7_4(esk1_0,esk2_0,X1,esk5_0),X1)
| r2_closure3(esk1_0,esk2_0,X1,esk5_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_99,c_0_100]),c_0_96])]) ).
cnf(c_0_105,negated_conjecture,
~ r2_closure3(esk1_0,esk2_0,esk3_0,esk5_0),
i_0_1 ).
cnf(c_0_106,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_75 ).
cnf(c_0_107,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_78 ).
cnf(c_0_108,negated_conjecture,
( m1_subset_1(esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,X1),k1_zfmisc_1(X1))
| ~ r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_109,negated_conjecture,
r2_hidden(esk7_4(esk1_0,esk2_0,esk3_0,esk5_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_102]),c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( r1_tarski(esk6_5(esk1_0,esk2_0,X1,esk5_0,X2),X2)
| ~ r2_hidden(X2,X1)
| ~ r2_closure3(esk1_0,esk2_0,X1,esk5_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_94,c_0_100]),c_0_96])]) ).
cnf(c_0_111,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
m1_subset_1(esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)),k1_zfmisc_1(esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X1,esk6_5(esk1_0,esk2_0,X3,esk5_0,X2))
| ~ r2_hidden(X2,X3)
| ~ r2_closure3(esk1_0,esk2_0,X3,esk5_0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_106,c_0_110]) ).
cnf(c_0_114,plain,
( r1_tarski(X1,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r1_tarski(X1,esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_115,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(X2,X3)
| ~ r2_closure3(esk1_0,esk2_0,X3,esk5_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk6_5(esk1_0,esk2_0,X3,esk5_0,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_113,c_0_107]) ).
cnf(c_0_116,plain,
( r2_closure3(X1,X2,X3,X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ r1_tarski(X5,esk7_4(X1,X2,X3,X4)) ),
i_0_16 ).
cnf(c_0_117,plain,
( r1_tarski(X1,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_hidden(esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)),X2)
| ~ r2_closure3(esk1_0,esk2_0,X2,esk5_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk6_5(esk1_0,esk2_0,X2,esk5_0,esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_118,plain,
r1_tarski(X1,X1),
i_0_72 ).
cnf(c_0_119,plain,
( r2_hidden(esk6_5(X1,X2,X3,X4,X5),X4)
| ~ m1_pboole(X2,X1)
| ~ r2_hidden(X5,X3)
| ~ r2_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_120,plain,
( ~ r2_hidden(esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)),X1)
| ~ r2_hidden(X2,esk5_0)
| ~ r2_closure3(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(X2,k1_zfmisc_1(esk6_5(esk1_0,esk2_0,X1,esk5_0,esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)))))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_96]),c_0_100]),c_0_102])]),c_0_105]) ).
cnf(c_0_121,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_97,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,X1,esk5_0,X2),esk5_0)
| ~ r2_hidden(X2,X1)
| ~ r2_closure3(esk1_0,esk2_0,X1,esk5_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_119,c_0_100]),c_0_96])]) ).
cnf(c_0_123,plain,
( ~ r2_hidden(esk6_5(esk1_0,esk2_0,esk3_0,esk4_0,esk7_4(esk1_0,esk2_0,esk3_0,esk5_0)),X1)
| ~ r2_closure3(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(esk1_0,esk2_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_124,negated_conjecture,
( r2_hidden(esk6_5(esk1_0,esk2_0,X1,esk4_0,X2),esk4_0)
| ~ r2_hidden(X2,X1)
| ~ r2_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_119,c_0_95]),c_0_96])]) ).
cnf(c_0_125,negated_conjecture,
r2_closure3(esk1_0,esk2_0,esk4_0,esk5_0),
i_0_2 ).
cnf(c_0_126,negated_conjecture,
$false,
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(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]),c_0_95]),c_0_109]),c_0_103]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG224+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 04:24:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.60/2.64 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.60/2.64 # No SInE strategy applied
% 9.60/2.64 # Trying AutoSched0 for 150 seconds
% 9.60/2.64 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S059I
% 9.60/2.64 # and selection function SelectComplexExceptUniqMaxPosHorn.
% 9.60/2.64 #
% 9.60/2.64 # Preprocessing time : 0.020 s
% 9.60/2.64 # Presaturation interreduction done
% 9.60/2.64
% 9.60/2.64 # Proof found!
% 9.60/2.64 # SZS status Theorem
% 9.60/2.64 # SZS output start CNFRefutation
% See solution above
% 9.60/2.64 # Training examples: 0 positive, 0 negative
% 9.60/2.64
% 9.60/2.64 # -------------------------------------------------
% 9.60/2.64 # User time : 0.269 s
% 9.60/2.64 # System time : 0.008 s
% 9.60/2.64 # Total time : 0.277 s
% 9.60/2.64 # Maximum resident set size: 7124 pages
% 9.60/2.64
%------------------------------------------------------------------------------