%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU427+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 08:42:19 EDT 2022
% Result : Theorem 9.95s 2.67s
% Output : CNFRefutation 9.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of clauses : 58 ( 27 unt; 0 nHn; 44 RR)
% Number of literals : 99 ( 38 equ; 47 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 97 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_62,plain,
( k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_62) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_3) ).
cnf(i_0_8,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_8) ).
cnf(i_0_31,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_31) ).
cnf(i_0_2,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_2) ).
cnf(i_0_60,plain,
( k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_60) ).
cnf(i_0_21,plain,
( m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_21) ).
cnf(i_0_68,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_68) ).
cnf(i_0_9,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_9) ).
cnf(i_0_11,plain,
( k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X2),X1,k6_relset_2(X1,X2,X3),k3_pua2mss1(X4))) = k7_relset_2(X2,X1,X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_11) ).
cnf(i_0_67,plain,
( k2_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3)) = k9_relat_1(X1,k2_xboole_0(X2,X3))
| ~ v1_relat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_67) ).
cnf(i_0_71,plain,
k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)) = k3_pua2mss1(k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_71) ).
cnf(i_0_1,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_1) ).
cnf(i_0_61,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_61) ).
cnf(i_0_4,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_5) ).
cnf(i_0_63,plain,
( k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_63) ).
cnf(i_0_18,plain,
( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uf1bysf9/lgb.p',i_0_18) ).
cnf(c_0_90,plain,
( k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
i_0_62 ).
cnf(c_0_91,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
i_0_3 ).
cnf(c_0_92,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_8 ).
cnf(c_0_93,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_31 ).
cnf(c_0_94,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k6_relset_2(esk2_0,esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
i_0_2 ).
cnf(c_0_95,negated_conjecture,
k6_relset_2(esk2_0,esk1_0,esk5_0) = k5_relset_2(esk1_0,esk5_0),
inference(pm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2)))) ),
i_0_60 ).
cnf(c_0_97,plain,
( m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
i_0_21 ).
cnf(c_0_98,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(pm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m2_relset_1(X3,X1,k1_zfmisc_1(X2)) ),
inference(pm,[status(thm)],[c_0_96,c_0_93]) ).
cnf(c_0_101,negated_conjecture,
m2_relset_1(k5_relset_2(esk1_0,esk5_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_97,c_0_95]),c_0_91])]) ).
cnf(c_0_102,plain,
k2_xboole_0(X1,k1_xboole_0) = X1,
i_0_68 ).
cnf(c_0_103,plain,
k2_xboole_0(X1,X2) = k2_xboole_0(X2,X1),
i_0_9 ).
cnf(c_0_104,plain,
( v1_relat_1(k6_relset_2(X1,X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(pm,[status(thm)],[c_0_98,c_0_97]) ).
cnf(c_0_105,plain,
( k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X2),X1,k6_relset_2(X1,X2,X3),k3_pua2mss1(X4))) = k7_relset_2(X2,X1,X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
i_0_11 ).
cnf(c_0_106,plain,
( k2_xboole_0(k9_relat_1(X1,X2),k9_relat_1(X1,X3)) = k9_relat_1(X1,k2_xboole_0(X2,X3))
| ~ v1_relat_1(X1) ),
i_0_67 ).
cnf(c_0_107,negated_conjecture,
k9_relat_1(k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(esk3_0)) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_108,plain,
k2_xboole_0(k1_xboole_0,X1) = X1,
inference(pm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
v1_relat_1(k5_relset_2(esk1_0,esk5_0)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_104,c_0_91]),c_0_95]) ).
cnf(c_0_110,negated_conjecture,
( k8_setfam_1(esk2_0,k4_relset_2(k1_zfmisc_1(esk1_0),esk2_0,k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(X1))) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_105,c_0_95]),c_0_91])]) ).
cnf(c_0_111,plain,
k9_relat_1(k5_relset_2(esk1_0,esk5_0),k2_xboole_0(k3_pua2mss1(esk3_0),X1)) = k9_relat_1(k5_relset_2(esk1_0,esk5_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109])]) ).
cnf(c_0_112,plain,
k2_xboole_0(k3_pua2mss1(X1),k3_pua2mss1(X2)) = k3_pua2mss1(k2_xboole_0(X1,X2)),
i_0_71 ).
cnf(c_0_113,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k4_subset_1(esk1_0,esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
i_0_1 ).
cnf(c_0_114,plain,
( k4_subset_1(X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_61 ).
cnf(c_0_115,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
i_0_4 ).
cnf(c_0_116,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
i_0_5 ).
cnf(c_0_117,plain,
( k8_setfam_1(esk2_0,k9_relat_1(k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(X1))) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_110,c_0_100]),c_0_101])]) ).
cnf(c_0_118,plain,
k9_relat_1(k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(k2_xboole_0(esk3_0,X1))) = k9_relat_1(k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(X1)),
inference(pm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,negated_conjecture,
k8_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116])]) ).
cnf(c_0_120,plain,
( k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
i_0_63 ).
cnf(c_0_121,plain,
( k8_setfam_1(esk2_0,k9_relat_1(k5_relset_2(esk1_0,esk5_0),k3_pua2mss1(X1))) = k7_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0)
| ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0)) ),
inference(pm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( k7_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,esk4_0),esk5_0) != k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_119,c_0_120]),c_0_91])]) ).
cnf(c_0_123,plain,
( k7_relset_2(esk1_0,esk2_0,k2_xboole_0(esk3_0,X1),esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(k2_xboole_0(esk3_0,X1),k1_zfmisc_1(esk1_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(pm,[status(thm)],[c_0_117,c_0_121]) ).
cnf(c_0_124,plain,
( m1_subset_1(k4_subset_1(X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_18 ).
cnf(c_0_125,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) != k7_relset_2(esk1_0,esk2_0,esk4_0,esk5_0)
| ~ m1_subset_1(k2_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_122,c_0_123]),c_0_115])]) ).
cnf(c_0_126,plain,
( m1_subset_1(k2_xboole_0(X1,X2),k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(pm,[status(thm)],[c_0_124,c_0_114]) ).
cnf(c_0_127,plain,
k8_relset_2(esk1_0,esk2_0,esk4_0,esk5_0) != k7_relset_2(esk1_0,esk2_0,esk4_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_125,c_0_126]),c_0_115]),c_0_116])]) ).
cnf(c_0_128,negated_conjecture,
( k8_relset_2(esk1_0,esk2_0,X1,esk5_0) = k7_relset_2(esk1_0,esk2_0,X1,esk5_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(esk1_0)) ),
inference(pm,[status(thm)],[c_0_120,c_0_91]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_127,c_0_128]),c_0_115])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU427+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 : n014.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 08:35:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.95/2.67 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.95/2.67 # No SInE strategy applied
% 9.95/2.67 # Trying AutoSched0 for 150 seconds
% 9.95/2.67 # AutoSched0-Mode selected heuristic G_E___300_C01_S00
% 9.95/2.67 # and selection function NoSelection.
% 9.95/2.67 #
% 9.95/2.67 # Preprocessing time : 0.023 s
% 9.95/2.67
% 9.95/2.67 # Proof found!
% 9.95/2.67 # SZS status Theorem
% 9.95/2.67 # SZS output start CNFRefutation
% See solution above
% 9.95/2.67 # Training examples: 0 positive, 0 negative
% 9.95/2.67
% 9.95/2.67 # -------------------------------------------------
% 9.95/2.67 # User time : 0.242 s
% 9.95/2.67 # System time : 0.014 s
% 9.95/2.67 # Total time : 0.255 s
% 9.95/2.67 # Maximum resident set size: 7128 pages
% 9.95/2.67
%------------------------------------------------------------------------------