TSTP Solution File: SEU383+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% 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 08:41:43 EDT 2022
% Result : Theorem 8.87s 2.50s
% Output : CNFRefutation 8.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of clauses : 65 ( 22 unt; 16 nHn; 58 RR)
% Number of literals : 153 ( 18 equ; 79 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_59,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_59) ).
cnf(i_0_68,negated_conjecture,
element(esk18_0,powerset(the_carrier(esk17_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_68) ).
cnf(i_0_52,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_52) ).
cnf(i_0_54,plain,
( X1 = X2
| in(esk16_2(X1,X2),X2)
| in(esk16_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_54) ).
cnf(i_0_14,plain,
( in(X1,X2)
| ~ rel_str(X3)
| ~ in(X4,X2)
| ~ upper_relstr_subset(X2,X3)
| ~ related(X3,X4,X1)
| ~ element(X1,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_14) ).
cnf(i_0_53,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_53) ).
cnf(i_0_60,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_60) ).
cnf(i_0_69,negated_conjecture,
upper_relstr_subset(esk18_0,esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_69) ).
cnf(i_0_72,negated_conjecture,
rel_str(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_72) ).
cnf(i_0_55,plain,
( X1 = X2
| ~ in(esk16_2(X1,X2),X2)
| ~ in(esk16_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_55) ).
cnf(i_0_61,plain,
( X1 = X2
| proper_element(X1,powerset(X2))
| ~ element(X1,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_61) ).
cnf(i_0_58,plain,
( empty_carrier(X1)
| related(X1,bottom_of_relstr(X1),X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_58) ).
cnf(i_0_73,negated_conjecture,
lower_bounded_relstr(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_73) ).
cnf(i_0_74,negated_conjecture,
antisymmetric_relstr(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_74) ).
cnf(i_0_77,negated_conjecture,
~ empty_carrier(esk17_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_77) ).
cnf(i_0_67,negated_conjecture,
( in(bottom_of_relstr(esk17_0),esk18_0)
| ~ proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_67) ).
cnf(i_0_62,plain,
( X1 != X2
| ~ element(X1,powerset(X2))
| ~ proper_element(X1,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_62) ).
cnf(i_0_56,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_56) ).
cnf(i_0_51,plain,
subset(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_51) ).
cnf(i_0_18,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_18) ).
cnf(i_0_66,negated_conjecture,
( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_66) ).
cnf(i_0_71,negated_conjecture,
~ empty(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ko5g3umj/input.p',i_0_71) ).
cnf(c_0_100,plain,
( element(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_59 ).
cnf(c_0_101,negated_conjecture,
element(esk18_0,powerset(the_carrier(esk17_0))),
i_0_68 ).
cnf(c_0_102,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_52 ).
cnf(c_0_103,plain,
( X1 = X2
| in(esk16_2(X1,X2),X2)
| in(esk16_2(X1,X2),X1) ),
i_0_54 ).
cnf(c_0_104,negated_conjecture,
( element(X1,the_carrier(esk17_0))
| ~ in(X1,esk18_0) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
( X1 = X2
| in(esk16_2(X1,X2),X1)
| element(esk16_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( esk18_0 = X1
| element(esk16_2(esk18_0,X1),the_carrier(esk17_0))
| element(esk16_2(esk18_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_107,plain,
( in(X1,X2)
| ~ rel_str(X3)
| ~ in(X4,X2)
| ~ upper_relstr_subset(X2,X3)
| ~ related(X3,X4,X1)
| ~ element(X1,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3))) ),
i_0_14 ).
cnf(c_0_108,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_53 ).
cnf(c_0_109,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| element(esk16_2(esk18_0,the_carrier(esk17_0)),the_carrier(esk17_0)) ),
inference(ef,[status(thm)],[c_0_106]) ).
cnf(c_0_110,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_60 ).
cnf(c_0_111,plain,
( in(X1,X2)
| ~ related(X3,X4,X1)
| ~ in(X4,X2)
| ~ element(X2,powerset(the_carrier(X3)))
| ~ element(X1,the_carrier(X3))
| ~ upper_relstr_subset(X2,X3)
| ~ rel_str(X3) ),
inference(csr,[status(thm)],[c_0_107,c_0_100]) ).
cnf(c_0_112,negated_conjecture,
upper_relstr_subset(esk18_0,esk17_0),
i_0_69 ).
cnf(c_0_113,negated_conjecture,
rel_str(esk17_0),
i_0_72 ).
cnf(c_0_114,plain,
( X1 = X2
| ~ in(esk16_2(X1,X2),X2)
| ~ in(esk16_2(X1,X2),X1) ),
i_0_55 ).
cnf(c_0_115,plain,
( the_carrier(esk17_0) = esk18_0
| in(esk16_2(esk18_0,the_carrier(esk17_0)),the_carrier(esk17_0))
| empty(the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
( ~ in(X1,esk18_0)
| ~ empty(the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_101]) ).
cnf(c_0_117,plain,
( X1 = X2
| proper_element(X1,powerset(X2))
| ~ element(X1,powerset(X2)) ),
i_0_61 ).
cnf(c_0_118,negated_conjecture,
( in(X1,esk18_0)
| ~ related(esk17_0,X2,X1)
| ~ in(X2,esk18_0)
| ~ element(X1,the_carrier(esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_101]),c_0_112]),c_0_113])]) ).
cnf(c_0_119,plain,
( the_carrier(esk17_0) = esk18_0
| ~ in(esk16_2(esk18_0,the_carrier(esk17_0)),esk18_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_120,plain,
( empty_carrier(X1)
| related(X1,bottom_of_relstr(X1),X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ lower_bounded_relstr(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_58 ).
cnf(c_0_121,negated_conjecture,
lower_bounded_relstr(esk17_0),
i_0_73 ).
cnf(c_0_122,negated_conjecture,
antisymmetric_relstr(esk17_0),
i_0_74 ).
cnf(c_0_123,negated_conjecture,
~ empty_carrier(esk17_0),
i_0_77 ).
cnf(c_0_124,negated_conjecture,
( in(bottom_of_relstr(esk17_0),esk18_0)
| ~ proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
i_0_67 ).
cnf(c_0_125,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| proper_element(esk18_0,powerset(the_carrier(esk17_0))) ),
inference(spm,[status(thm)],[c_0_117,c_0_101]) ).
cnf(c_0_126,plain,
( X1 != X2
| ~ element(X1,powerset(X2))
| ~ proper_element(X1,powerset(X2)) ),
i_0_62 ).
cnf(c_0_127,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_56 ).
cnf(c_0_128,plain,
subset(X1,X1),
i_0_51 ).
cnf(c_0_129,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
i_0_18 ).
cnf(c_0_130,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| ~ related(esk17_0,X1,esk16_2(esk18_0,the_carrier(esk17_0)))
| ~ in(X1,esk18_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_109]),c_0_119]) ).
cnf(c_0_131,plain,
( the_carrier(esk17_0) = esk18_0
| related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(esk18_0,the_carrier(esk17_0))) ),
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_120,c_0_109]),c_0_121]),c_0_122]),c_0_113])]),c_0_123]) ).
cnf(c_0_132,negated_conjecture,
( the_carrier(esk17_0) = esk18_0
| in(bottom_of_relstr(esk17_0),esk18_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,plain,
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(er,[status(thm)],[c_0_126]) ).
cnf(c_0_134,plain,
element(X1,powerset(X1)),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_135,negated_conjecture,
element(bottom_of_relstr(esk17_0),the_carrier(esk17_0)),
inference(spm,[status(thm)],[c_0_129,c_0_113]) ).
cnf(c_0_136,negated_conjecture,
( proper_element(esk18_0,powerset(the_carrier(esk17_0)))
| ~ in(bottom_of_relstr(esk17_0),esk18_0) ),
i_0_66 ).
cnf(c_0_137,plain,
the_carrier(esk17_0) = esk18_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_138,plain,
~ proper_element(X1,powerset(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]) ).
cnf(c_0_139,plain,
( in(bottom_of_relstr(esk17_0),the_carrier(esk17_0))
| empty(the_carrier(esk17_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
~ empty(esk18_0),
i_0_71 ).
cnf(c_0_141,negated_conjecture,
~ in(bottom_of_relstr(esk17_0),esk18_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_142,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_137]),c_0_137]),c_0_140]),c_0_141]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n024.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 07:15:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.87/2.50 # ENIGMATIC: Solved by autoschedule:
% 8.87/2.50 # No SInE strategy applied
% 8.87/2.50 # Trying AutoSched0 for 150 seconds
% 8.87/2.50 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.87/2.50 # and selection function SelectComplexG.
% 8.87/2.50 #
% 8.87/2.50 # Preprocessing time : 0.024 s
% 8.87/2.50
% 8.87/2.50 # Proof found!
% 8.87/2.50 # SZS status Theorem
% 8.87/2.50 # SZS output start CNFRefutation
% See solution above
% 8.87/2.50 # Training examples: 0 positive, 0 negative
% 8.87/2.50
% 8.87/2.50 # -------------------------------------------------
% 8.87/2.50 # User time : 0.180 s
% 8.87/2.50 # System time : 0.008 s
% 8.87/2.50 # Total time : 0.188 s
% 8.87/2.50 # Maximum resident set size: 7124 pages
% 8.87/2.50
%------------------------------------------------------------------------------