TSTP Solution File: SEU425+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU425+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:42:17 EDT 2022
% Result : Theorem 8.68s 2.38s
% Output : CNFRefutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 13 unt; 7 nHn; 43 RR)
% Number of literals : 113 ( 20 equ; 59 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 78 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_65,plain,
( r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_65) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_2) ).
cnf(i_0_10,plain,
( X1 = k1_xboole_0
| v1_funct_2(X2,X3,X1)
| k4_relset_1(X3,X1,X2) != X3
| ~ m2_relset_1(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_10) ).
cnf(i_0_59,plain,
( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_59) ).
cnf(i_0_60,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_60) ).
cnf(i_0_63,plain,
( m2_relset_1(X1,X2,X3)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X3)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_63) ).
cnf(i_0_61,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_61) ).
cnf(i_0_68,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_68) ).
cnf(i_0_67,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_67) ).
cnf(i_0_62,plain,
r1_tarski(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_62) ).
cnf(i_0_5,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-8zajby5p/lgb.p',i_0_5) ).
cnf(i_0_24,plain,
( v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_24) ).
cnf(i_0_15,plain,
( k1_relat_1(X1) = k1_zfmisc_1(X2)
| X1 != k5_relset_2(X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_15) ).
cnf(i_0_23,plain,
( v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_23) ).
cnf(i_0_1,negated_conjecture,
( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_1) ).
cnf(i_0_35,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_35) ).
cnf(i_0_38,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8zajby5p/lgb.p',i_0_38) ).
cnf(c_0_86,plain,
( r1_tarski(k2_relat_1(k5_relset_2(X1,X2)),k1_zfmisc_1(k2_relat_1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ),
i_0_65 ).
cnf(c_0_87,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
i_0_2 ).
cnf(c_0_88,plain,
( X1 = k1_xboole_0
| v1_funct_2(X2,X3,X1)
| k4_relset_1(X3,X1,X2) != X3
| ~ m2_relset_1(X2,X3,X1) ),
i_0_10 ).
cnf(c_0_89,plain,
( k4_relset_1(X1,X2,X3) = k1_relat_1(X3)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_59 ).
cnf(c_0_90,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
i_0_60 ).
cnf(c_0_91,plain,
( m2_relset_1(X1,X2,X3)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X3)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
i_0_63 ).
cnf(c_0_92,negated_conjecture,
r1_tarski(k2_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,plain,
( X1 = k1_xboole_0
| v1_funct_2(X2,k1_relat_1(X2),X1)
| ~ m1_relset_1(X2,k1_relat_1(X2),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89])]),c_0_90]) ).
cnf(c_0_94,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_61 ).
cnf(c_0_95,plain,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0))
| ~ r1_tarski(k1_relat_1(k5_relset_2(esk1_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_68 ).
cnf(c_0_97,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_67 ).
cnf(c_0_98,plain,
r1_tarski(X1,X1),
i_0_62 ).
cnf(c_0_99,plain,
( X1 = k1_xboole_0
| v1_funct_2(X2,k1_relat_1(X2),X1)
| ~ m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0))
| ~ m1_subset_1(k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_5 ).
cnf(c_0_103,plain,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0
| v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_104,plain,
( v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
i_0_24 ).
cnf(c_0_105,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_102,c_0_87]) ).
cnf(c_0_106,plain,
( k1_relat_1(X1) = k1_zfmisc_1(X2)
| X1 != k5_relset_2(X2,X3)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1) ),
i_0_15 ).
cnf(c_0_107,plain,
( v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
i_0_23 ).
cnf(c_0_108,plain,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0
| v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105])]) ).
cnf(c_0_109,plain,
( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
| ~ v1_relat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_106]),c_0_107]),c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
i_0_1 ).
cnf(c_0_111,plain,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0
| v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_105])]) ).
cnf(c_0_112,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_113,plain,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0))
| ~ r1_tarski(k1_zfmisc_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_109]),c_0_105])]) ).
cnf(c_0_114,plain,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_98])]) ).
cnf(c_0_115,plain,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_107]),c_0_105])]) ).
cnf(c_0_116,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
i_0_35 ).
cnf(c_0_117,plain,
k1_zfmisc_1(k2_relat_1(esk3_0)) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_104]),c_0_105])]) ).
cnf(c_0_118,plain,
v1_xboole_0(k1_xboole_0),
i_0_38 ).
cnf(c_0_119,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU425+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 18:50:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.68/2.38 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.68/2.38 # No SInE strategy applied
% 8.68/2.38 # Trying AutoSched0 for 150 seconds
% 8.68/2.38 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.68/2.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.68/2.38 #
% 8.68/2.38 # Preprocessing time : 0.024 s
% 8.68/2.38 # Presaturation interreduction done
% 8.68/2.38
% 8.68/2.38 # Proof found!
% 8.68/2.38 # SZS status Theorem
% 8.68/2.38 # SZS output start CNFRefutation
% See solution above
% 8.68/2.38 # Training examples: 0 positive, 0 negative
% 8.68/2.38
% 8.68/2.38 # -------------------------------------------------
% 8.68/2.38 # User time : 0.064 s
% 8.68/2.38 # System time : 0.005 s
% 8.68/2.38 # Total time : 0.069 s
% 8.68/2.38 # Maximum resident set size: 7120 pages
% 8.68/2.38
%------------------------------------------------------------------------------