%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU340+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 08:40:58 EDT 2022
% Result : Theorem 8.55s 2.47s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 74 ( 34 unt; 7 nHn; 69 RR)
% Number of literals : 167 ( 2 equ; 95 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_27) ).
cnf(i_0_58,negated_conjecture,
rel_str(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_58) ).
cnf(i_0_15,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_15) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_3) ).
cnf(i_0_26,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_26) ).
cnf(i_0_55,negated_conjecture,
element(esk16_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_55) ).
cnf(i_0_63,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_63) ).
cnf(i_0_53,negated_conjecture,
related(esk13_0,esk15_0,esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_53) ).
cnf(i_0_56,negated_conjecture,
element(esk15_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_56) ).
cnf(i_0_49,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_49) ).
cnf(i_0_60,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_60) ).
cnf(i_0_64,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_64) ).
cnf(i_0_32,plain,
element(esk7_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_32) ).
cnf(i_0_66,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_66) ).
cnf(i_0_13,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X5,X4)
| ~ in(X1,X4)
| ~ is_transitive_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_13) ).
cnf(i_0_2,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_2) ).
cnf(i_0_54,negated_conjecture,
related(esk13_0,esk14_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_54) ).
cnf(i_0_57,negated_conjecture,
element(esk14_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_57) ).
cnf(i_0_5,plain,
( is_transitive_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ transitive_relstr(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_5) ).
cnf(i_0_59,negated_conjecture,
transitive_relstr(esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_59) ).
cnf(i_0_14,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_14) ).
cnf(i_0_52,negated_conjecture,
~ related(esk13_0,esk14_0,esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5h5qfsx6/lgb.p',i_0_52) ).
cnf(c_0_89,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_27 ).
cnf(c_0_90,negated_conjecture,
rel_str(esk13_0),
i_0_58 ).
cnf(c_0_91,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_15 ).
cnf(c_0_92,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_93,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_26 ).
cnf(c_0_94,negated_conjecture,
relation_of2_as_subset(the_InternalRel(esk13_0),the_carrier(esk13_0),the_carrier(esk13_0)),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,negated_conjecture,
element(esk16_0,the_carrier(esk13_0)),
i_0_55 ).
cnf(c_0_97,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_63 ).
cnf(c_0_98,plain,
element(the_InternalRel(esk13_0),powerset(cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0)))),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk16_0)),the_InternalRel(esk13_0))
| ~ related(esk13_0,X1,esk16_0)
| ~ element(X1,the_carrier(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_90])]) ).
cnf(c_0_100,negated_conjecture,
related(esk13_0,esk15_0,esk16_0),
i_0_53 ).
cnf(c_0_101,negated_conjecture,
element(esk15_0,the_carrier(esk13_0)),
i_0_56 ).
cnf(c_0_102,plain,
( element(X1,cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0)))
| ~ in(X1,the_InternalRel(esk13_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk16_0)),the_InternalRel(esk13_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,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
i_0_49 ).
cnf(c_0_105,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_60 ).
cnf(c_0_106,plain,
element(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk16_0)),cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0))),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_64 ).
cnf(c_0_108,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(rw,[status(thm)],[c_0_104,c_0_92]) ).
cnf(c_0_109,plain,
( empty(cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0)))
| in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk16_0)),cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0))) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( ~ empty(cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0)))
| ~ in(X1,the_InternalRel(esk13_0)) ),
inference(spm,[status(thm)],[c_0_107,c_0_98]) ).
cnf(c_0_111,plain,
( empty(cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0)))
| in(esk16_0,the_carrier(esk13_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,plain,
element(esk7_1(X1),X1),
i_0_32 ).
cnf(c_0_113,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_66 ).
cnf(c_0_114,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X5,X4)
| ~ in(X1,X4)
| ~ is_transitive_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_13 ).
cnf(c_0_115,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_2 ).
cnf(c_0_116,plain,
( in(esk16_0,the_carrier(esk13_0))
| ~ in(X1,the_InternalRel(esk13_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,plain,
( empty(X1)
| in(esk7_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_112]) ).
cnf(c_0_118,plain,
~ empty(the_InternalRel(esk13_0)),
inference(spm,[status(thm)],[c_0_113,c_0_103]) ).
cnf(c_0_119,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| ~ is_transitive_in(X3,X4)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X2)),X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4)
| ~ in(X2,X4)
| ~ in(X1,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_92]),c_0_92]),c_0_92]) ).
cnf(c_0_120,plain,
relation(the_InternalRel(esk13_0)),
inference(spm,[status(thm)],[c_0_115,c_0_98]) ).
cnf(c_0_121,negated_conjecture,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk15_0)),the_InternalRel(esk13_0))
| ~ related(esk13_0,X1,esk15_0)
| ~ element(X1,the_carrier(esk13_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_101]),c_0_90])]) ).
cnf(c_0_122,negated_conjecture,
related(esk13_0,esk14_0,esk15_0),
i_0_54 ).
cnf(c_0_123,negated_conjecture,
element(esk14_0,the_carrier(esk13_0)),
i_0_57 ).
cnf(c_0_124,plain,
in(esk16_0,the_carrier(esk13_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_125,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk16_0)),the_InternalRel(esk13_0))
| ~ is_transitive_in(the_InternalRel(esk13_0),X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk15_0)),the_InternalRel(esk13_0))
| ~ in(esk15_0,X2)
| ~ in(esk16_0,X2)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_103]),c_0_120])]) ).
cnf(c_0_126,negated_conjecture,
in(unordered_pair(singleton(esk14_0),unordered_pair(esk14_0,esk15_0)),the_InternalRel(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_127,plain,
( is_transitive_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ transitive_relstr(X1) ),
i_0_5 ).
cnf(c_0_128,negated_conjecture,
transitive_relstr(esk13_0),
i_0_59 ).
cnf(c_0_129,negated_conjecture,
( empty(the_carrier(esk13_0))
| in(esk15_0,the_carrier(esk13_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_101]) ).
cnf(c_0_130,plain,
~ empty(the_carrier(esk13_0)),
inference(spm,[status(thm)],[c_0_113,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( empty(the_carrier(esk13_0))
| in(esk14_0,the_carrier(esk13_0)) ),
inference(spm,[status(thm)],[c_0_105,c_0_123]) ).
cnf(c_0_132,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1)) ),
i_0_14 ).
cnf(c_0_133,negated_conjecture,
( in(unordered_pair(singleton(esk14_0),unordered_pair(esk14_0,esk16_0)),the_InternalRel(esk13_0))
| ~ is_transitive_in(the_InternalRel(esk13_0),X1)
| ~ in(esk15_0,X1)
| ~ in(esk16_0,X1)
| ~ in(esk14_0,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
is_transitive_in(the_InternalRel(esk13_0),the_carrier(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_90])]) ).
cnf(c_0_135,negated_conjecture,
in(esk15_0,the_carrier(esk13_0)),
inference(sr,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
in(esk14_0,the_carrier(esk13_0)),
inference(sr,[status(thm)],[c_0_131,c_0_130]) ).
cnf(c_0_137,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),the_InternalRel(X1))
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
inference(rw,[status(thm)],[c_0_132,c_0_92]) ).
cnf(c_0_138,negated_conjecture,
in(unordered_pair(singleton(esk14_0),unordered_pair(esk14_0,esk16_0)),the_InternalRel(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_124]),c_0_136])]) ).
cnf(c_0_139,negated_conjecture,
~ related(esk13_0,esk14_0,esk16_0),
i_0_52 ).
cnf(c_0_140,plain,
$false,
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_137,c_0_138]),c_0_90]),c_0_96]),c_0_123])]),c_0_139]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU340+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n025.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Mon Jun 20 01:09:01 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected complete mode:
% 8.55/2.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.55/2.47 # No SInE strategy applied
% 8.55/2.47 # Trying AutoSched0 for 150 seconds
% 8.55/2.47 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.55/2.47 # and selection function SelectComplexG.
% 8.55/2.47 #
% 8.55/2.47 # Preprocessing time : 0.024 s
% 8.55/2.47
% 8.55/2.47 # Proof found!
% 8.55/2.47 # SZS status Theorem
% 8.55/2.47 # SZS output start CNFRefutation
% See solution above
% 8.55/2.47 # Training examples: 0 positive, 0 negative
% 8.55/2.47
% 8.55/2.47 # -------------------------------------------------
% 8.55/2.47 # User time : 0.090 s
% 8.55/2.47 # System time : 0.007 s
% 8.55/2.47 # Total time : 0.097 s
% 8.55/2.47 # Maximum resident set size: 7124 pages
% 8.55/2.47
%------------------------------------------------------------------------------