TSTP Solution File: SEU339+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU339+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:40:57 EDT 2022
% Result : Theorem 6.55s 2.04s
% Output : CNFRefutation 6.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of clauses : 75 ( 36 unt; 6 nHn; 70 RR)
% Number of literals : 151 ( 11 equ; 82 neg)
% Maximal clause size : 7 ( 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 : 86 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,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-q07edbuy/lgb.p',i_0_14) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_3) ).
cnf(i_0_26,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-q07edbuy/lgb.p',i_0_26) ).
cnf(i_0_56,negated_conjecture,
rel_str(esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_56) ).
cnf(i_0_54,negated_conjecture,
element(esk14_0,the_carrier(esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_54) ).
cnf(i_0_25,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_25) ).
cnf(i_0_9,plain,
( X1 = X2
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_9) ).
cnf(i_0_53,negated_conjecture,
related(esk12_0,esk13_0,esk14_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_53) ).
cnf(i_0_55,negated_conjecture,
element(esk13_0,the_carrier(esk12_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_55) ).
cnf(i_0_2,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_2) ).
cnf(i_0_51,negated_conjecture,
esk14_0 != esk13_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_51) ).
cnf(i_0_52,negated_conjecture,
related(esk12_0,esk14_0,esk13_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_52) ).
cnf(i_0_12,plain,
( is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_12) ).
cnf(i_0_57,negated_conjecture,
antisymmetric_relstr(esk12_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_57) ).
cnf(i_0_58,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_58) ).
cnf(i_0_62,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_62) ).
cnf(i_0_31,plain,
element(esk6_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_31) ).
cnf(i_0_61,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_61) ).
cnf(i_0_63,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_63) ).
cnf(i_0_34,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q07edbuy/lgb.p',i_0_34) ).
cnf(i_0_48,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-q07edbuy/lgb.p',i_0_48) ).
cnf(c_0_85,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_14 ).
cnf(c_0_86,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_87,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_26 ).
cnf(c_0_88,negated_conjecture,
rel_str(esk12_0),
i_0_56 ).
cnf(c_0_89,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_85,c_0_86]) ).
cnf(c_0_90,negated_conjecture,
element(esk14_0,the_carrier(esk12_0)),
i_0_54 ).
cnf(c_0_91,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_25 ).
cnf(c_0_92,negated_conjecture,
relation_of2_as_subset(the_InternalRel(esk12_0),the_carrier(esk12_0),the_carrier(esk12_0)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
( X1 = X2
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3) ),
i_0_9 ).
cnf(c_0_94,negated_conjecture,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk14_0)),the_InternalRel(esk12_0))
| ~ related(esk12_0,X1,esk14_0)
| ~ element(X1,the_carrier(esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_88])]) ).
cnf(c_0_95,negated_conjecture,
related(esk12_0,esk13_0,esk14_0),
i_0_53 ).
cnf(c_0_96,negated_conjecture,
element(esk13_0,the_carrier(esk12_0)),
i_0_55 ).
cnf(c_0_97,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_2 ).
cnf(c_0_98,plain,
element(the_InternalRel(esk12_0),powerset(cartesian_product2(the_carrier(esk12_0),the_carrier(esk12_0)))),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,plain,
( X1 = X2
| ~ is_antisymmetric_in(X3,X4)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ relation(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_86]),c_0_86]) ).
cnf(c_0_100,negated_conjecture,
in(unordered_pair(singleton(esk13_0),unordered_pair(esk13_0,esk14_0)),the_InternalRel(esk12_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_101,plain,
relation(the_InternalRel(esk12_0)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
esk14_0 != esk13_0,
i_0_51 ).
cnf(c_0_103,negated_conjecture,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk13_0)),the_InternalRel(esk12_0))
| ~ related(esk12_0,X1,esk13_0)
| ~ element(X1,the_carrier(esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_96]),c_0_88])]) ).
cnf(c_0_104,negated_conjecture,
related(esk12_0,esk14_0,esk13_0),
i_0_52 ).
cnf(c_0_105,plain,
( ~ is_antisymmetric_in(the_InternalRel(esk12_0),X1)
| ~ in(unordered_pair(singleton(esk14_0),unordered_pair(esk13_0,esk14_0)),the_InternalRel(esk12_0))
| ~ in(esk13_0,X1)
| ~ in(esk14_0,X1) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]),c_0_102]),c_0_86]) ).
cnf(c_0_106,negated_conjecture,
in(unordered_pair(singleton(esk14_0),unordered_pair(esk13_0,esk14_0)),the_InternalRel(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_86]),c_0_90])]) ).
cnf(c_0_107,plain,
( is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1) ),
i_0_12 ).
cnf(c_0_108,negated_conjecture,
antisymmetric_relstr(esk12_0),
i_0_57 ).
cnf(c_0_109,plain,
( ~ is_antisymmetric_in(the_InternalRel(esk12_0),X1)
| ~ in(esk13_0,X1)
| ~ in(esk14_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_110,negated_conjecture,
is_antisymmetric_in(the_InternalRel(esk12_0),the_carrier(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_88])]) ).
cnf(c_0_111,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_58 ).
cnf(c_0_112,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_62 ).
cnf(c_0_113,plain,
element(esk6_1(X1),X1),
i_0_31 ).
cnf(c_0_114,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_61 ).
cnf(c_0_115,negated_conjecture,
( ~ in(esk13_0,the_carrier(esk12_0))
| ~ in(esk14_0,the_carrier(esk12_0)) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( empty(the_carrier(esk12_0))
| in(esk13_0,the_carrier(esk12_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_96]) ).
cnf(c_0_117,negated_conjecture,
( empty(the_carrier(esk12_0))
| in(esk14_0,the_carrier(esk12_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_90]) ).
cnf(c_0_118,plain,
( ~ empty(X1)
| ~ in(X2,esk6_1(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,plain,
( empty(X1)
| in(esk6_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_113]) ).
cnf(c_0_120,plain,
( element(X1,cartesian_product2(the_carrier(esk12_0),the_carrier(esk12_0)))
| ~ in(X1,the_InternalRel(esk12_0)) ),
inference(spm,[status(thm)],[c_0_114,c_0_98]) ).
cnf(c_0_121,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_63 ).
cnf(c_0_122,negated_conjecture,
empty(the_carrier(esk12_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_123,plain,
( empty(esk6_1(powerset(X1)))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_124,plain,
empty(empty_set),
i_0_34 ).
cnf(c_0_125,plain,
element(unordered_pair(singleton(esk13_0),unordered_pair(esk13_0,esk14_0)),cartesian_product2(the_carrier(esk12_0),the_carrier(esk12_0))),
inference(spm,[status(thm)],[c_0_120,c_0_100]) ).
cnf(c_0_126,plain,
the_carrier(esk12_0) = empty_set,
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,plain,
empty(esk6_1(powerset(empty_set))),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),cartesian_product2(X4,X2)) ),
i_0_48 ).
cnf(c_0_129,plain,
element(unordered_pair(singleton(esk13_0),unordered_pair(esk13_0,esk14_0)),cartesian_product2(empty_set,empty_set)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126]),c_0_126]) ).
cnf(c_0_130,plain,
esk6_1(powerset(empty_set)) = empty_set,
inference(spm,[status(thm)],[c_0_121,c_0_127]) ).
cnf(c_0_131,plain,
( ~ empty(cartesian_product2(the_carrier(esk12_0),the_carrier(esk12_0)))
| ~ in(X1,the_InternalRel(esk12_0)) ),
inference(spm,[status(thm)],[c_0_112,c_0_98]) ).
cnf(c_0_132,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(rw,[status(thm)],[c_0_128,c_0_86]) ).
cnf(c_0_133,plain,
( empty(cartesian_product2(empty_set,empty_set))
| in(unordered_pair(singleton(esk13_0),unordered_pair(esk13_0,esk14_0)),cartesian_product2(empty_set,empty_set)) ),
inference(spm,[status(thm)],[c_0_111,c_0_129]) ).
cnf(c_0_134,plain,
~ in(X1,empty_set),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_130]),c_0_124])]) ).
cnf(c_0_135,plain,
( ~ empty(cartesian_product2(empty_set,empty_set))
| ~ in(X1,the_InternalRel(esk12_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_126]),c_0_126]) ).
cnf(c_0_136,plain,
empty(cartesian_product2(empty_set,empty_set)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_137,plain,
~ in(X1,the_InternalRel(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_100,c_0_137]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEU339+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.08 % Command : enigmatic-eprover.py %s %d 1
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Mon Jun 20 03:24:35 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.34 # ENIGMATIC: Selected complete mode:
% 6.55/2.04 # ENIGMATIC: Solved by autoschedule-lgb:
% 6.55/2.04 # No SInE strategy applied
% 6.55/2.04 # Trying AutoSched0 for 150 seconds
% 6.55/2.04 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 6.55/2.04 # and selection function SelectComplexG.
% 6.55/2.04 #
% 6.55/2.04 # Preprocessing time : 0.014 s
% 6.55/2.04
% 6.55/2.04 # Proof found!
% 6.55/2.04 # SZS status Theorem
% 6.55/2.04 # SZS output start CNFRefutation
% See solution above
% 6.55/2.04 # Training examples: 0 positive, 0 negative
% 6.55/2.04
% 6.55/2.04 # -------------------------------------------------
% 6.55/2.04 # User time : 0.018 s
% 6.55/2.04 # System time : 0.006 s
% 6.55/2.04 # Total time : 0.024 s
% 6.55/2.04 # Maximum resident set size: 7120 pages
% 6.55/2.04
%------------------------------------------------------------------------------