TSTP Solution File: SEU363+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU363+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:41:32 EDT 2022
% Result : Theorem 7.79s 2.28s
% Output : CNFRefutation 7.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 63 ( 40 unt; 0 nHn; 60 RR)
% Number of literals : 112 ( 11 equ; 51 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_21) ).
cnf(i_0_69,negated_conjecture,
rel_str(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_69) ).
cnf(i_0_20,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_20) ).
cnf(i_0_45,plain,
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_45) ).
cnf(i_0_58,negated_conjecture,
in(esk17_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_58) ).
cnf(i_0_65,negated_conjecture,
element(esk15_0,the_carrier(esk12_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_65) ).
cnf(i_0_61,negated_conjecture,
esk15_0 = esk17_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_61) ).
cnf(i_0_3,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_3) ).
cnf(i_0_59,negated_conjecture,
in(esk16_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_59) ).
cnf(i_0_8,plain,
( in(ordered_pair(X1,X2),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_8) ).
cnf(i_0_60,negated_conjecture,
related(esk12_0,esk14_0,esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_60) ).
cnf(i_0_62,negated_conjecture,
esk16_0 = esk14_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_62) ).
cnf(i_0_66,negated_conjecture,
element(esk14_0,the_carrier(esk12_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_66) ).
cnf(i_0_6,plain,
( relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2)) = the_InternalRel(X2)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_6) ).
cnf(i_0_68,negated_conjecture,
full_subrelstr(esk13_0,esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_68) ).
cnf(i_0_67,negated_conjecture,
subrelstr(esk13_0,esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_67) ).
cnf(i_0_41,plain,
( relation_restriction_as_relation_of(X1,X2) = relation_restriction(X1,X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_41) ).
cnf(i_0_48,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_48) ).
cnf(i_0_19,plain,
( rel_str(X1)
| ~ rel_str(X2)
| ~ subrelstr(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_19) ).
cnf(i_0_7,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_7) ).
cnf(i_0_63,negated_conjecture,
element(esk17_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_63) ).
cnf(i_0_64,negated_conjecture,
element(esk16_0,the_carrier(esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_64) ).
cnf(i_0_57,negated_conjecture,
~ related(esk13_0,esk16_0,esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s9axixfi/input.p',i_0_57) ).
cnf(c_0_93,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_21 ).
cnf(c_0_94,negated_conjecture,
rel_str(esk12_0),
i_0_69 ).
cnf(c_0_95,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_20 ).
cnf(c_0_96,negated_conjecture,
relation_of2_as_subset(the_InternalRel(esk12_0),the_carrier(esk12_0),the_carrier(esk12_0)),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,plain,
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
i_0_45 ).
cnf(c_0_98,negated_conjecture,
in(esk17_0,the_carrier(esk13_0)),
i_0_58 ).
cnf(c_0_99,negated_conjecture,
element(esk15_0,the_carrier(esk12_0)),
i_0_65 ).
cnf(c_0_100,negated_conjecture,
esk15_0 = esk17_0,
i_0_61 ).
cnf(c_0_101,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_3 ).
cnf(c_0_102,plain,
element(the_InternalRel(esk12_0),powerset(cartesian_product2(the_carrier(esk12_0),the_carrier(esk12_0)))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( in(ordered_pair(X1,esk17_0),cartesian_product2(X2,the_carrier(esk13_0)))
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
in(esk16_0,the_carrier(esk13_0)),
i_0_59 ).
cnf(c_0_105,plain,
( in(ordered_pair(X1,X2),the_InternalRel(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_8 ).
cnf(c_0_106,negated_conjecture,
element(esk17_0,the_carrier(esk12_0)),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
related(esk12_0,esk14_0,esk15_0),
i_0_60 ).
cnf(c_0_108,negated_conjecture,
esk16_0 = esk14_0,
i_0_62 ).
cnf(c_0_109,negated_conjecture,
element(esk14_0,the_carrier(esk12_0)),
i_0_66 ).
cnf(c_0_110,plain,
( relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X2)) = the_InternalRel(X2)
| ~ rel_str(X1)
| ~ subrelstr(X2,X1)
| ~ full_subrelstr(X2,X1) ),
i_0_6 ).
cnf(c_0_111,negated_conjecture,
full_subrelstr(esk13_0,esk12_0),
i_0_68 ).
cnf(c_0_112,negated_conjecture,
subrelstr(esk13_0,esk12_0),
i_0_67 ).
cnf(c_0_113,plain,
( relation_restriction_as_relation_of(X1,X2) = relation_restriction(X1,X2)
| ~ relation(X1) ),
i_0_41 ).
cnf(c_0_114,plain,
relation(the_InternalRel(esk12_0)),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_115,plain,
( in(X1,relation_restriction(X2,X3))
| ~ relation(X2)
| ~ in(X1,X2)
| ~ in(X1,cartesian_product2(X3,X3)) ),
i_0_48 ).
cnf(c_0_116,negated_conjecture,
in(ordered_pair(esk16_0,esk17_0),cartesian_product2(the_carrier(esk13_0),the_carrier(esk13_0))),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_117,negated_conjecture,
( in(ordered_pair(X1,esk17_0),the_InternalRel(esk12_0))
| ~ related(esk12_0,X1,esk17_0)
| ~ element(X1,the_carrier(esk12_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_94])]) ).
cnf(c_0_118,negated_conjecture,
related(esk12_0,esk16_0,esk17_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108]),c_0_100]) ).
cnf(c_0_119,negated_conjecture,
element(esk16_0,the_carrier(esk12_0)),
inference(rw,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_120,negated_conjecture,
relation_restriction_as_relation_of(the_InternalRel(esk12_0),the_carrier(esk13_0)) = the_InternalRel(esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_94])]) ).
cnf(c_0_121,plain,
relation_restriction_as_relation_of(the_InternalRel(esk12_0),X1) = relation_restriction(the_InternalRel(esk12_0),X1),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,plain,
( in(ordered_pair(esk16_0,esk17_0),relation_restriction(X1,the_carrier(esk13_0)))
| ~ relation(X1)
| ~ in(ordered_pair(esk16_0,esk17_0),X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
in(ordered_pair(esk16_0,esk17_0),the_InternalRel(esk12_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_124,negated_conjecture,
relation_restriction(the_InternalRel(esk12_0),the_carrier(esk13_0)) = the_InternalRel(esk13_0),
inference(rw,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( rel_str(X1)
| ~ rel_str(X2)
| ~ subrelstr(X1,X2) ),
i_0_19 ).
cnf(c_0_126,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
i_0_7 ).
cnf(c_0_127,negated_conjecture,
in(ordered_pair(esk16_0,esk17_0),the_InternalRel(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_114])]) ).
cnf(c_0_128,negated_conjecture,
element(esk17_0,the_carrier(esk13_0)),
i_0_63 ).
cnf(c_0_129,negated_conjecture,
element(esk16_0,the_carrier(esk13_0)),
i_0_64 ).
cnf(c_0_130,negated_conjecture,
rel_str(esk13_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_112]),c_0_94])]) ).
cnf(c_0_131,negated_conjecture,
~ related(esk13_0,esk16_0,esk17_0),
i_0_57 ).
cnf(c_0_132,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_126,c_0_127]),c_0_128]),c_0_129]),c_0_130])]),c_0_131]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU363+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % 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 : Sun Jun 19 23:15:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.79/2.28 # ENIGMATIC: Solved by autoschedule:
% 7.79/2.28 # No SInE strategy applied
% 7.79/2.28 # Trying AutoSched0 for 150 seconds
% 7.79/2.28 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 7.79/2.28 # and selection function SelectComplexG.
% 7.79/2.28 #
% 7.79/2.28 # Preprocessing time : 0.024 s
% 7.79/2.28
% 7.79/2.28 # Proof found!
% 7.79/2.28 # SZS status Theorem
% 7.79/2.28 # SZS output start CNFRefutation
% See solution above
% 7.79/2.28 # Training examples: 0 positive, 0 negative
% 7.79/2.28
% 7.79/2.28 # -------------------------------------------------
% 7.79/2.28 # User time : 0.080 s
% 7.79/2.28 # System time : 0.008 s
% 7.79/2.28 # Total time : 0.088 s
% 7.79/2.28 # Maximum resident set size: 7120 pages
% 7.79/2.28
%------------------------------------------------------------------------------