TSTP Solution File: SEU138+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU138+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:38:45 EDT 2022
% Result : Theorem 105.25s 14.62s
% Output : CNFRefutation 105.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of clauses : 132 ( 85 unt; 6 nHn; 40 RR)
% Number of literals : 187 ( 75 equ; 67 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 312 ( 63 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_75,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_75) ).
cnf(i_0_65,lemma,
( disjoint(X1,X2)
| in(esk9_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_65) ).
cnf(i_0_72,lemma,
( ~ disjoint(X1,X2)
| ~ in(X3,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_72) ).
cnf(i_0_53,lemma,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_53) ).
cnf(i_0_76,lemma,
subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_76) ).
cnf(i_0_52,lemma,
( subset(set_intersection2(X1,X2),set_intersection2(X3,X2))
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_52) ).
cnf(i_0_48,lemma,
subset(set_intersection2(X1,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_48) ).
cnf(i_0_3,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_3) ).
cnf(i_0_28,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_28) ).
cnf(i_0_47,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_47) ).
cnf(i_0_49,lemma,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_49) ).
cnf(i_0_59,lemma,
subset(set_difference(X1,X2),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_59) ).
cnf(i_0_68,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_68) ).
cnf(i_0_62,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_62) ).
cnf(i_0_2,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_2) ).
cnf(i_0_66,lemma,
( disjoint(X1,X2)
| in(esk9_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_66) ).
cnf(i_0_58,lemma,
( subset(set_difference(X1,X2),set_difference(X3,X2))
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_58) ).
cnf(i_0_4,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_4) ).
cnf(i_0_31,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_31) ).
cnf(i_0_54,plain,
set_intersection2(X1,empty_set) = empty_set,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_54) ).
cnf(i_0_51,lemma,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_51) ).
cnf(i_0_36,plain,
empty(empty_set),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_36) ).
cnf(i_0_7,plain,
( X1 = empty_set
| in(esk1_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_7) ).
cnf(i_0_63,plain,
set_difference(X1,empty_set) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_63) ).
cnf(i_0_41,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_41) ).
cnf(i_0_70,negated_conjecture,
set_difference(esk10_0,set_difference(esk10_0,esk11_0)) != set_intersection2(esk10_0,esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wqx0upfa/input.p',i_0_70) ).
cnf(c_0_103,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_75 ).
cnf(c_0_104,lemma,
( disjoint(X1,X2)
| in(esk9_2(X1,X2),X2) ),
i_0_65 ).
cnf(c_0_105,lemma,
( ~ disjoint(X1,X2)
| ~ in(X3,set_intersection2(X1,X2)) ),
i_0_72 ).
cnf(c_0_106,plain,
( disjoint(X1,X2)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,lemma,
( set_intersection2(X1,X2) = X1
| ~ subset(X1,X2) ),
i_0_53 ).
cnf(c_0_108,lemma,
subset(X1,set_union2(X1,X2)),
i_0_76 ).
cnf(c_0_109,lemma,
( subset(set_intersection2(X1,X2),set_intersection2(X3,X2))
| ~ subset(X1,X3) ),
i_0_52 ).
cnf(c_0_110,lemma,
subset(set_intersection2(X1,X2),X1),
i_0_48 ).
cnf(c_0_111,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_3 ).
cnf(c_0_112,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
i_0_28 ).
cnf(c_0_113,plain,
( ~ in(X1,set_intersection2(X2,X3))
| ~ empty(X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_114,lemma,
set_intersection2(X1,set_union2(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_115,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
i_0_47 ).
cnf(c_0_116,lemma,
subset(set_intersection2(X1,X2),set_intersection2(set_union2(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_117,lemma,
( subset(X1,set_intersection2(X2,X3))
| ~ subset(X1,X3)
| ~ subset(X1,X2) ),
i_0_49 ).
cnf(c_0_118,lemma,
subset(set_difference(X1,X2),X1),
i_0_59 ).
cnf(c_0_119,lemma,
subset(set_intersection2(X1,X2),X2),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_120,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_121,lemma,
set_difference(set_union2(X1,X2),X2) = set_difference(X1,X2),
i_0_68 ).
cnf(c_0_122,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
i_0_62 ).
cnf(c_0_123,plain,
( ~ in(X1,X2)
| ~ empty(set_union2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_2 ).
cnf(c_0_125,lemma,
set_union2(set_intersection2(X1,X2),set_intersection2(set_union2(X1,X3),X2)) = set_intersection2(set_union2(X1,X3),X2),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_126,lemma,
( subset(set_intersection2(X1,X2),set_intersection2(X3,X1))
| ~ subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_110]) ).
cnf(c_0_127,lemma,
subset(set_intersection2(set_difference(X1,X2),X3),set_intersection2(X1,X3)),
inference(spm,[status(thm)],[c_0_109,c_0_118]) ).
cnf(c_0_128,lemma,
subset(set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(X2,X3)),
inference(spm,[status(thm)],[c_0_109,c_0_119]) ).
cnf(c_0_129,lemma,
( disjoint(X1,X2)
| ~ in(esk9_2(X1,X2),set_difference(X3,X2)) ),
inference(spm,[status(thm)],[c_0_120,c_0_104]) ).
cnf(c_0_130,lemma,
( disjoint(X1,X2)
| in(esk9_2(X1,X2),X1) ),
i_0_66 ).
cnf(c_0_131,lemma,
( subset(set_difference(X1,X2),set_difference(X3,X2))
| ~ subset(X1,X3) ),
i_0_58 ).
cnf(c_0_132,lemma,
set_difference(set_union2(X1,X2),set_difference(X2,X1)) = set_difference(X1,set_difference(X2,X1)),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_133,plain,
( ~ in(X1,X2)
| ~ empty(set_union2(X3,X2)) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_134,lemma,
set_union2(X1,set_union2(X2,X1)) = set_union2(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_121]),c_0_122]) ).
cnf(c_0_135,plain,
set_union2(set_intersection2(X1,X2),set_intersection2(X2,set_union2(X1,X3))) = set_intersection2(X2,set_union2(X1,X3)),
inference(spm,[status(thm)],[c_0_125,c_0_111]) ).
cnf(c_0_136,lemma,
set_union2(X1,set_difference(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_118]),c_0_124]) ).
cnf(c_0_137,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_4 ).
cnf(c_0_138,lemma,
subset(set_intersection2(set_difference(X1,X2),X3),set_intersection2(set_intersection2(X1,X3),set_difference(X1,X2))),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_139,plain,
subset(set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(X3,X2)),
inference(spm,[status(thm)],[c_0_128,c_0_111]) ).
cnf(c_0_140,plain,
( set_intersection2(X1,X2) = empty_set
| ~ disjoint(X1,X2) ),
i_0_31 ).
cnf(c_0_141,lemma,
disjoint(set_difference(X1,X2),X2),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_142,plain,
set_intersection2(X1,empty_set) = empty_set,
i_0_54 ).
cnf(c_0_143,lemma,
( subset(X1,X2)
| ~ subset(X3,X2)
| ~ subset(X1,X3) ),
i_0_51 ).
cnf(c_0_144,lemma,
subset(set_difference(X1,X2),set_difference(set_union2(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_131,c_0_108]) ).
cnf(c_0_145,plain,
set_difference(set_union2(X1,X2),set_difference(X1,X2)) = set_difference(X2,set_difference(X1,X2)),
inference(spm,[status(thm)],[c_0_132,c_0_124]) ).
cnf(c_0_146,lemma,
( ~ in(X1,set_union2(X2,X3))
| ~ empty(set_union2(X3,X2)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_147,lemma,
set_union2(set_intersection2(X1,X2),set_intersection2(X2,X1)) = set_intersection2(X2,X1),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_148,plain,
set_intersection2(set_intersection2(X1,X2),set_difference(X1,X3)) = set_intersection2(set_difference(X1,X3),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).
cnf(c_0_149,plain,
set_intersection2(X1,set_difference(X2,X1)) = empty_set,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_111]) ).
cnf(c_0_150,plain,
set_intersection2(empty_set,X1) = empty_set,
inference(spm,[status(thm)],[c_0_111,c_0_142]) ).
cnf(c_0_151,lemma,
( subset(X1,X2)
| ~ subset(X1,set_difference(X2,X3)) ),
inference(spm,[status(thm)],[c_0_143,c_0_118]) ).
cnf(c_0_152,lemma,
subset(set_difference(X1,set_difference(X1,X2)),set_difference(X2,set_difference(X1,X2))),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_153,lemma,
subset(set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(X1,X3)),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_154,lemma,
set_intersection2(set_intersection2(X1,X2),set_intersection2(set_intersection2(X3,X1),X2)) = set_intersection2(set_intersection2(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_128]),c_0_111]) ).
cnf(c_0_155,lemma,
( ~ in(X1,set_intersection2(X2,X3))
| ~ empty(set_intersection2(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_147]) ).
cnf(c_0_156,plain,
set_intersection2(set_difference(X1,X2),set_difference(X3,X1)) = empty_set,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_157,plain,
empty(empty_set),
i_0_36 ).
cnf(c_0_158,lemma,
subset(set_difference(X1,set_difference(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_159,lemma,
subset(set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(set_intersection2(X1,X3),set_intersection2(X1,X2))),
inference(spm,[status(thm)],[c_0_126,c_0_153]) ).
cnf(c_0_160,lemma,
subset(set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(set_intersection2(X2,X3),set_intersection2(X1,X2))),
inference(spm,[status(thm)],[c_0_126,c_0_128]) ).
cnf(c_0_161,plain,
set_intersection2(set_intersection2(X1,X2),set_intersection2(set_intersection2(X3,X2),X1)) = set_intersection2(set_intersection2(X3,X2),X1),
inference(spm,[status(thm)],[c_0_154,c_0_111]) ).
cnf(c_0_162,plain,
~ in(X1,set_intersection2(set_difference(X2,X3),set_difference(X3,X4))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).
cnf(c_0_163,lemma,
set_intersection2(X1,set_difference(X2,set_difference(X2,X1))) = set_difference(X2,set_difference(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_158]),c_0_111]) ).
cnf(c_0_164,plain,
( ~ in(X1,set_intersection2(X2,X3))
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_113,c_0_111]) ).
cnf(c_0_165,lemma,
set_intersection2(X1,set_difference(X1,X2)) = set_difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_118]),c_0_111]) ).
cnf(c_0_166,plain,
subset(set_intersection2(set_intersection2(X1,X2),X3),set_intersection2(X3,X1)),
inference(spm,[status(thm)],[c_0_153,c_0_111]) ).
cnf(c_0_167,plain,
set_intersection2(set_intersection2(X1,X2),set_intersection2(X1,X3)) = set_intersection2(set_intersection2(X1,X3),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_159]),c_0_139])]) ).
cnf(c_0_168,lemma,
set_intersection2(X1,set_intersection2(X2,X1)) = set_intersection2(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_119]),c_0_111]) ).
cnf(c_0_169,lemma,
set_intersection2(set_intersection2(X1,X2),set_intersection2(X3,X1)) = set_intersection2(set_intersection2(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_160]),c_0_161]) ).
cnf(c_0_170,lemma,
~ in(X1,set_difference(X2,set_difference(X2,set_difference(X3,X2)))),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_171,plain,
( X1 = empty_set
| in(esk1_1(X1),X1) ),
i_0_7 ).
cnf(c_0_172,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_173,plain,
subset(set_intersection2(X1,set_intersection2(X2,X3)),set_intersection2(X1,X2)),
inference(spm,[status(thm)],[c_0_166,c_0_111]) ).
cnf(c_0_174,lemma,
set_intersection2(set_intersection2(X1,X2),set_intersection2(X2,X3)) = set_intersection2(set_intersection2(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_175,plain,
set_difference(X1,set_difference(X1,set_difference(X2,X1))) = empty_set,
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,plain,
set_difference(X1,empty_set) = X1,
i_0_63 ).
cnf(c_0_177,lemma,
set_difference(set_difference(X1,X2),set_difference(X1,set_difference(X1,X2))) = set_difference(X1,set_difference(X1,set_difference(X1,X2))),
inference(spm,[status(thm)],[c_0_145,c_0_136]) ).
cnf(c_0_178,plain,
( set_difference(X1,X2) = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_171]) ).
cnf(c_0_179,lemma,
( subset(set_difference(X1,X2),set_intersection2(X3,X1))
| ~ subset(set_difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_180,lemma,
set_intersection2(set_intersection2(X1,X2),X3) = set_intersection2(X1,set_intersection2(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_173]),c_0_167]),c_0_174]) ).
cnf(c_0_181,plain,
set_difference(X1,set_difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_175]),c_0_136]),c_0_176]),c_0_176]) ).
cnf(c_0_182,lemma,
( set_difference(X1,X2) = X1
| ~ empty(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_176]),c_0_176]) ).
cnf(c_0_183,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
i_0_41 ).
cnf(c_0_184,lemma,
subset(set_difference(X1,set_difference(X1,X2)),set_intersection2(X2,X1)),
inference(spm,[status(thm)],[c_0_179,c_0_158]) ).
cnf(c_0_185,plain,
set_intersection2(X1,set_intersection2(set_difference(X2,X1),X3)) = empty_set,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_149]),c_0_150]) ).
cnf(c_0_186,plain,
set_difference(set_union2(X1,X2),set_difference(X1,X2)) = X2,
inference(rw,[status(thm)],[c_0_145,c_0_181]) ).
cnf(c_0_187,lemma,
( set_difference(X1,X2) = X1
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_188,lemma,
set_difference(set_difference(X1,set_difference(X1,X2)),set_intersection2(X2,X1)) = empty_set,
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_189,lemma,
set_intersection2(X1,set_difference(set_difference(X2,X1),X3)) = empty_set,
inference(spm,[status(thm)],[c_0_185,c_0_165]) ).
cnf(c_0_190,plain,
( set_union2(X1,X2) = X2
| ~ empty(set_difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_191,lemma,
set_difference(set_difference(set_difference(X1,X2),X3),set_difference(set_difference(set_difference(X1,X2),X3),X2)) = empty_set,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_176]) ).
cnf(c_0_192,lemma,
set_union2(X1,set_intersection2(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_110]),c_0_124]) ).
cnf(c_0_193,lemma,
set_intersection2(set_intersection2(X1,X2),set_intersection2(set_intersection2(X1,X3),X2)) = set_intersection2(set_intersection2(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_153]),c_0_111]) ).
cnf(c_0_194,lemma,
subset(set_difference(set_intersection2(X1,X2),X3),set_difference(X2,X3)),
inference(spm,[status(thm)],[c_0_131,c_0_119]) ).
cnf(c_0_195,plain,
set_difference(set_difference(set_difference(X1,X2),X3),X2) = set_difference(set_difference(X1,X2),X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_136]),c_0_157])]) ).
cnf(c_0_196,lemma,
set_difference(X1,set_difference(X1,set_intersection2(X1,X2))) = set_intersection2(X1,X2),
inference(spm,[status(thm)],[c_0_186,c_0_192]) ).
cnf(c_0_197,plain,
set_intersection2(set_intersection2(X1,X2),set_intersection2(X2,set_intersection2(X3,X1))) = set_intersection2(X2,set_intersection2(X3,X1)),
inference(spm,[status(thm)],[c_0_154,c_0_111]) ).
cnf(c_0_198,lemma,
set_intersection2(X1,set_intersection2(set_intersection2(X1,X2),X3)) = set_intersection2(set_intersection2(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_193]),c_0_111]),c_0_168]) ).
cnf(c_0_199,lemma,
set_intersection2(set_difference(X1,X2),set_difference(set_intersection2(X3,X1),X2)) = set_difference(set_intersection2(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_194]),c_0_111]) ).
cnf(c_0_200,lemma,
set_difference(set_intersection2(set_difference(X1,X2),X3),X2) = set_intersection2(set_difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_201,plain,
set_intersection2(X1,set_intersection2(X2,X3)) = set_intersection2(X3,set_intersection2(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_174]),c_0_169]),c_0_180]) ).
cnf(c_0_202,lemma,
set_intersection2(X1,set_intersection2(set_difference(X1,X2),X3)) = set_intersection2(set_difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_198,c_0_165]) ).
cnf(c_0_203,lemma,
set_intersection2(set_difference(X1,X2),set_difference(set_union2(X1,X3),X2)) = set_difference(X1,X2),
inference(spm,[status(thm)],[c_0_107,c_0_144]) ).
cnf(c_0_204,lemma,
set_intersection2(set_difference(X1,X2),set_difference(X3,X2)) = set_intersection2(set_difference(X3,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_205,lemma,
set_intersection2(X1,set_difference(set_union2(X1,X2),X3)) = set_difference(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204]),c_0_111]) ).
cnf(c_0_206,negated_conjecture,
set_difference(esk10_0,set_difference(esk10_0,esk11_0)) != set_intersection2(esk10_0,esk11_0),
i_0_70 ).
cnf(c_0_207,plain,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(spm,[status(thm)],[c_0_205,c_0_186]) ).
cnf(c_0_208,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU138+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 23:17:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 105.25/14.62 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 105.25/14.62 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 105.25/14.62 # Preprocessing time : 0.838 s
% 105.25/14.62 # Presaturation interreduction done
% 105.25/14.62
% 105.25/14.62 # Proof found!
% 105.25/14.62 # SZS status Theorem
% 105.25/14.62 # SZS output start CNFRefutation
% See solution above
% 105.25/14.62 # Training examples: 0 positive, 0 negative
% 105.25/14.62
% 105.25/14.62 # -------------------------------------------------
% 105.25/14.62 # User time : 12.020 s
% 105.25/14.62 # System time : 0.254 s
% 105.25/14.62 # Total time : 12.274 s
% 105.25/14.62 # ...preprocessing : 0.838 s
% 105.25/14.62 # ...main loop : 11.436 s
% 105.25/14.62 # Maximum resident set size: 168156 pages
% 105.25/14.62
%------------------------------------------------------------------------------