TSTP Solution File: SEU451+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:42:45 EDT 2022
% Result : Theorem 7.52s 2.35s
% Output : CNFRefutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 10 unt; 0 nHn; 32 RR)
% Number of literals : 68 ( 23 equ; 37 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-6 aty)
% Number of variables : 88 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_68,plain,
( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_68) ).
cnf(i_0_62,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_62) ).
cnf(i_0_64,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_64) ).
cnf(i_0_65,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_65) ).
cnf(i_0_12,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_12) ).
cnf(i_0_69,plain,
( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_69) ).
cnf(i_0_63,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_63) ).
cnf(i_0_19,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_19) ).
cnf(i_0_2,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)) != k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-59aiedtj/lgb.p',i_0_1) ).
cnf(c_0_80,plain,
( k7_relset_1(X1,X2,X2,X2,X3,k6_partfun1(X2)) = X3
| ~ m2_relset_1(X3,X1,X2) ),
i_0_68 ).
cnf(c_0_81,plain,
( k7_relset_1(X1,X2,X3,X4,X5,X6) = k5_relat_1(X5,X6)
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ),
i_0_62 ).
cnf(c_0_82,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
i_0_64 ).
cnf(c_0_83,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m1_relset_1(k6_partfun1(X2),X2,X2)
| ~ m1_relset_1(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_84,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_65 ).
cnf(c_0_85,plain,
m2_relset_1(k6_partfun1(X1),X1,X1),
i_0_12 ).
cnf(c_0_86,plain,
( k7_relset_1(X1,X1,X1,X2,k6_partfun1(X1),X3) = X3
| ~ m2_relset_1(X3,X1,X2) ),
i_0_69 ).
cnf(c_0_87,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m1_relset_1(X1,X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_88,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
i_0_63 ).
cnf(c_0_89,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_19 ).
cnf(c_0_90,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m1_relset_1(k6_partfun1(X1),X1,X1)
| ~ m1_relset_1(X2,X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_81]),c_0_82]) ).
cnf(c_0_91,plain,
( k5_relat_1(X1,k6_partfun1(X2)) = X1
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
cnf(c_0_92,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
i_0_2 ).
cnf(c_0_93,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X5,X2,X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_94,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m1_relset_1(X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_84]),c_0_85])]) ).
cnf(c_0_95,negated_conjecture,
k5_relat_1(esk3_0,k6_partfun1(esk2_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m2_relset_1(X5,X2,X3)
| ~ m2_relset_1(X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_89]) ).
cnf(c_0_97,plain,
( k5_relat_1(k6_partfun1(X1),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_84]) ).
cnf(c_0_98,negated_conjecture,
k9_relset_2(esk1_0,esk2_0,esk2_0,esk3_0,k6_partfun1(esk2_0)) != k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0),
i_0_1 ).
cnf(c_0_99,negated_conjecture,
( k9_relset_2(X1,X2,X3,esk3_0,k6_partfun1(esk2_0)) = esk3_0
| ~ m2_relset_1(k6_partfun1(esk2_0),X2,X3)
| ~ m2_relset_1(esk3_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
k5_relat_1(k6_partfun1(esk1_0),esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
k9_relset_2(esk1_0,esk1_0,esk2_0,k6_partfun1(esk1_0),esk3_0) != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_85]),c_0_92])]) ).
cnf(c_0_102,negated_conjecture,
( k9_relset_2(X1,X2,X3,k6_partfun1(esk1_0),esk3_0) = esk3_0
| ~ m2_relset_1(k6_partfun1(esk1_0),X1,X2)
| ~ m2_relset_1(esk3_0,X2,X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_85]),c_0_92])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU451+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 15:10:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 7.52/2.35 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.52/2.35 # No SInE strategy applied
% 7.52/2.35 # Trying AutoSched0 for 150 seconds
% 7.52/2.35 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.52/2.35 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.52/2.35 #
% 7.52/2.35 # Preprocessing time : 0.024 s
% 7.52/2.35 # Presaturation interreduction done
% 7.52/2.35
% 7.52/2.35 # Proof found!
% 7.52/2.35 # SZS status Theorem
% 7.52/2.35 # SZS output start CNFRefutation
% See solution above
% 7.52/2.35 # Training examples: 0 positive, 0 negative
% 7.52/2.35
% 7.52/2.35 # -------------------------------------------------
% 7.52/2.35 # User time : 0.024 s
% 7.52/2.35 # System time : 0.008 s
% 7.52/2.35 # Total time : 0.033 s
% 7.52/2.35 # Maximum resident set size: 7124 pages
% 7.52/2.35
%------------------------------------------------------------------------------