TSTP Solution File: SET634+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 00:13:03 EDT 2022
% Result : Theorem 57.69s 8.69s
% Output : CNFRefutation 57.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of clauses : 115 ( 66 unt; 17 nHn; 35 RR)
% Number of literals : 174 ( 44 equ; 45 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 307 ( 40 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_17) ).
cnf(i_0_3,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_3) ).
cnf(i_0_4,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_4) ).
cnf(i_0_18,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_18) ).
cnf(i_0_8,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_8) ).
cnf(i_0_6,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_6) ).
cnf(i_0_5,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_5) ).
cnf(i_0_7,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_7) ).
cnf(i_0_12,plain,
intersection(X1,X2) = intersection(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_12) ).
cnf(i_0_9,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_9) ).
cnf(i_0_21,negated_conjecture,
difference(intersection(esk4_0,esk5_0),esk6_0) != intersection(esk4_0,difference(esk5_0,esk6_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r0ifj31q/input.p',i_0_21) ).
cnf(c_0_33,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
i_0_17 ).
cnf(c_0_34,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_3 ).
cnf(c_0_35,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_4 ).
cnf(c_0_36,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
i_0_18 ).
cnf(c_0_37,plain,
( subset(X1,intersection(X2,X3))
| ~ member(esk3_2(X1,intersection(X2,X3)),X3)
| ~ member(esk3_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_8 ).
cnf(c_0_39,plain,
( member(esk3_2(intersection(X1,X2),X3),X2)
| subset(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_6 ).
cnf(c_0_41,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_5 ).
cnf(c_0_42,plain,
( subset(X1,intersection(X2,X1))
| ~ member(esk3_2(X1,intersection(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_43,plain,
( member(esk3_2(intersection(X1,difference(X2,X3)),X4),X2)
| subset(intersection(X1,difference(X2,X3)),X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_7 ).
cnf(c_0_45,plain,
( member(esk3_2(X1,X2),difference(X1,X3))
| member(esk3_2(X1,X2),X3)
| subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
cnf(c_0_46,plain,
subset(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_47,plain,
intersection(X1,X2) = intersection(X2,X1),
i_0_12 ).
cnf(c_0_48,plain,
( member(esk3_2(intersection(X1,X2),X3),X1)
| subset(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_36]) ).
cnf(c_0_49,plain,
( member(esk3_2(intersection(X1,X2),X3),difference(X2,X4))
| member(esk3_2(intersection(X1,X2),X3),X4)
| subset(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_50,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_9 ).
cnf(c_0_51,plain,
subset(intersection(X1,difference(X2,X3)),intersection(X2,intersection(X1,difference(X2,X3)))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,plain,
( member(esk3_2(difference(X1,X2),X3),X1)
| subset(difference(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_53,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk3_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_54,plain,
( member(esk3_2(X1,difference(X1,X2)),X2)
| subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
cnf(c_0_55,plain,
subset(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,plain,
( subset(intersection(difference(X1,X2),X3),X4)
| ~ member(esk3_2(intersection(difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_48]) ).
cnf(c_0_57,plain,
( member(esk3_2(intersection(X1,X2),difference(X2,X3)),X3)
| subset(intersection(X1,X2),difference(X2,X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_58,plain,
intersection(X1,intersection(X2,difference(X1,X3))) = intersection(X2,difference(X1,X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_46])]) ).
cnf(c_0_59,plain,
subset(difference(X1,X2),intersection(X1,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
cnf(c_0_60,plain,
( subset(difference(X1,intersection(X2,X3)),X4)
| ~ member(esk3_2(difference(X1,intersection(X2,X3)),X4),X3)
| ~ member(esk3_2(difference(X1,intersection(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_34]) ).
cnf(c_0_61,plain,
( member(esk3_2(X1,difference(X1,intersection(X2,X3))),X3)
| subset(X1,difference(X1,intersection(X2,X3))) ),
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_62,plain,
( intersection(X1,X2) = X1
| ~ subset(X1,intersection(X1,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_55]) ).
cnf(c_0_63,plain,
subset(difference(X1,X1),X2),
inference(spm,[status(thm)],[c_0_53,c_0_52]) ).
cnf(c_0_64,plain,
( intersection(X1,X2) = X2
| ~ subset(X2,intersection(X1,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_46]) ).
cnf(c_0_65,plain,
subset(intersection(difference(X1,X2),X3),difference(X3,X2)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
intersection(X1,intersection(difference(X1,X2),X3)) = intersection(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_58,c_0_47]) ).
cnf(c_0_67,plain,
intersection(X1,difference(X1,X2)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_59]),c_0_46])]) ).
cnf(c_0_68,plain,
( subset(difference(X1,intersection(X2,X1)),X3)
| ~ member(esk3_2(difference(X1,intersection(X2,X1)),X3),X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_52]) ).
cnf(c_0_69,plain,
subset(difference(X1,X2),difference(difference(X1,X2),intersection(X3,X2))),
inference(spm,[status(thm)],[c_0_53,c_0_61]) ).
cnf(c_0_70,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_33,c_0_52]) ).
cnf(c_0_71,plain,
intersection(difference(X1,X1),X2) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_72,plain,
intersection(X1,difference(X2,X2)) = difference(X2,X2),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_73,plain,
subset(intersection(X1,difference(X2,X3)),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_65,c_0_47]) ).
cnf(c_0_74,plain,
intersection(X1,difference(difference(X1,X2),X3)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,plain,
subset(difference(X1,intersection(X2,X1)),difference(difference(X1,intersection(X2,X1)),X2)),
inference(spm,[status(thm)],[c_0_68,c_0_54]) ).
cnf(c_0_76,plain,
difference(difference(X1,X2),intersection(X3,X2)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_69]),c_0_70])]) ).
cnf(c_0_77,plain,
difference(X1,X1) = difference(X2,X2),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
( member(X1,X2)
| ~ member(X1,difference(X3,X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_71]) ).
cnf(c_0_79,plain,
subset(difference(difference(X1,X2),X3),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
difference(difference(X1,intersection(X2,X1)),X2) = difference(X1,intersection(X2,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_75]),c_0_70])]) ).
cnf(c_0_81,plain,
difference(difference(X1,X2),intersection(X2,X3)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_76,c_0_47]) ).
cnf(c_0_82,plain,
( subset(intersection(X1,difference(X2,X3)),X4)
| ~ member(esk3_2(intersection(X1,difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_83,plain,
~ member(X1,difference(X2,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_77]),c_0_78]) ).
cnf(c_0_84,plain,
( subset(X1,difference(X1,difference(X2,X3)))
| ~ member(esk3_2(X1,difference(X1,difference(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_54]) ).
cnf(c_0_85,plain,
subset(difference(X1,intersection(X2,X1)),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
subset(difference(X1,X2),difference(X1,intersection(X2,X3))),
inference(spm,[status(thm)],[c_0_79,c_0_81]) ).
cnf(c_0_87,plain,
subset(intersection(X1,difference(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_82,c_0_48]) ).
cnf(c_0_88,plain,
( subset(intersection(X1,difference(X2,X3)),intersection(X4,X2))
| ~ member(esk3_2(intersection(X1,difference(X2,X3)),intersection(X4,X2)),X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_89,plain,
( member(esk3_2(intersection(X1,difference(X2,difference(X1,X3))),X4),X3)
| subset(intersection(X1,difference(X2,difference(X1,X3))),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49]),c_0_47]),c_0_47]) ).
cnf(c_0_90,plain,
subset(X1,difference(X1,difference(X2,X2))),
inference(spm,[status(thm)],[c_0_83,c_0_54]) ).
cnf(c_0_91,plain,
( X1 = difference(X2,X2)
| ~ subset(X1,difference(X2,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_92,plain,
subset(X1,difference(X1,difference(X2,X1))),
inference(spm,[status(thm)],[c_0_84,c_0_36]) ).
cnf(c_0_93,plain,
difference(X1,intersection(X2,X1)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_85]),c_0_86])]) ).
cnf(c_0_94,plain,
( X1 = intersection(X2,difference(X3,X2))
| ~ subset(X1,intersection(X2,difference(X3,X2))) ),
inference(spm,[status(thm)],[c_0_50,c_0_87]) ).
cnf(c_0_95,plain,
subset(intersection(X1,difference(X2,difference(X1,X3))),intersection(X3,X2)),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,plain,
difference(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_90]),c_0_70])]) ).
cnf(c_0_97,plain,
intersection(X1,difference(X2,X1)) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_91,c_0_87]) ).
cnf(c_0_98,plain,
difference(X1,difference(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_92]),c_0_70])]) ).
cnf(c_0_99,plain,
difference(X1,intersection(X1,X2)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_93,c_0_47]) ).
cnf(c_0_100,plain,
intersection(X1,difference(difference(X2,X3),difference(X1,X3))) = intersection(X3,difference(X2,X3)),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,plain,
difference(X1,intersection(X2,difference(X3,X2))) = X1,
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,plain,
( subset(intersection(X1,X2),intersection(X3,X2))
| ~ member(esk3_2(intersection(X1,X2),intersection(X3,X2)),X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_103,plain,
( member(esk3_2(intersection(difference(X1,X2),X3),X4),X1)
| subset(intersection(difference(X1,X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_104,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),difference(X3,X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_98]) ).
cnf(c_0_105,plain,
subset(intersection(X1,difference(X2,difference(X1,X3))),X3),
inference(spm,[status(thm)],[c_0_33,c_0_89]) ).
cnf(c_0_106,plain,
difference(X1,difference(difference(X2,X3),difference(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_107,plain,
subset(intersection(difference(X1,X2),X3),intersection(X1,X3)),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_108,plain,
( subset(intersection(X1,X2),X3)
| ~ member(esk3_2(intersection(X1,X2),X3),difference(X2,X1)) ),
inference(spm,[status(thm)],[c_0_104,c_0_93]) ).
cnf(c_0_109,plain,
( member(esk3_2(intersection(X1,X2),intersection(difference(X2,X3),intersection(X1,X2))),X3)
| subset(intersection(X1,X2),intersection(difference(X2,X3),intersection(X1,X2))) ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_110,plain,
subset(intersection(X1,difference(X2,difference(X1,X3))),intersection(X1,X3)),
inference(spm,[status(thm)],[c_0_105,c_0_99]) ).
cnf(c_0_111,plain,
difference(X1,difference(X2,difference(X1,difference(X3,X2)))) = X1,
inference(spm,[status(thm)],[c_0_106,c_0_98]) ).
cnf(c_0_112,plain,
subset(intersection(difference(X1,X2),X3),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_107,c_0_47]) ).
cnf(c_0_113,plain,
subset(intersection(X1,X2),intersection(intersection(X1,X2),difference(X2,difference(X2,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_47]) ).
cnf(c_0_114,plain,
subset(intersection(X1,X2),intersection(X1,difference(X2,difference(X3,X1)))),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
subset(intersection(X1,difference(X2,X3)),intersection(X1,X2)),
inference(spm,[status(thm)],[c_0_112,c_0_47]) ).
cnf(c_0_116,plain,
intersection(intersection(X1,X2),difference(X2,difference(X2,X1))) = intersection(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_113]),c_0_55])]) ).
cnf(c_0_117,plain,
subset(difference(X1,difference(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_105,c_0_67]) ).
cnf(c_0_118,plain,
intersection(X1,difference(X2,difference(X3,X1))) = intersection(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_114]),c_0_115])]) ).
cnf(c_0_119,plain,
( difference(X1,difference(X1,X2)) = intersection(X2,X1)
| ~ subset(difference(X1,difference(X1,X2)),intersection(X2,X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_116]) ).
cnf(c_0_120,plain,
subset(difference(X1,difference(X1,X2)),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_117,c_0_93]) ).
cnf(c_0_121,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_118]),c_0_99]) ).
cnf(c_0_122,plain,
difference(X1,difference(X1,X2)) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_123,plain,
difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_121,c_0_98]) ).
cnf(c_0_124,plain,
intersection(difference(X1,X2),difference(X3,X2)) = intersection(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_118,c_0_98]) ).
cnf(c_0_125,plain,
( member(esk3_2(difference(intersection(X1,X2),X3),X4),X2)
| subset(difference(intersection(X1,X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_52]) ).
cnf(c_0_126,plain,
intersection(difference(X1,X2),X3) = intersection(X1,difference(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_122]),c_0_124]) ).
cnf(c_0_127,plain,
subset(difference(intersection(X1,X2),X3),intersection(X2,difference(intersection(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_42,c_0_125]) ).
cnf(c_0_128,plain,
intersection(X1,difference(X2,intersection(X1,X3))) = intersection(X1,difference(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_99]),c_0_126]) ).
cnf(c_0_129,plain,
difference(X1,intersection(X2,difference(X1,X3))) = difference(X1,difference(X2,X3)),
inference(spm,[status(thm)],[c_0_93,c_0_126]) ).
cnf(c_0_130,plain,
intersection(X1,difference(X2,difference(X1,X3))) = intersection(intersection(X3,X1),X2),
inference(spm,[status(thm)],[c_0_126,c_0_122]) ).
cnf(c_0_131,plain,
intersection(X1,difference(intersection(X2,X1),X3)) = difference(intersection(X2,X1),X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_127]),c_0_46])]) ).
cnf(c_0_132,plain,
intersection(intersection(X1,X2),X3) = intersection(X2,intersection(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_122]) ).
cnf(c_0_133,plain,
intersection(X1,difference(intersection(X1,X2),X3)) = difference(intersection(X1,X2),X3),
inference(spm,[status(thm)],[c_0_131,c_0_47]) ).
cnf(c_0_134,negated_conjecture,
difference(intersection(esk4_0,esk5_0),esk6_0) != intersection(esk4_0,difference(esk5_0,esk6_0)),
i_0_21 ).
cnf(c_0_135,plain,
difference(intersection(X1,X2),X3) = intersection(X1,difference(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_67]),c_0_126]),c_0_126]),c_0_133]) ).
cnf(c_0_136,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_135])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET634+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 Jul 11 00:35:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 57.69/8.69 # ENIGMATIC: Solved by autoschedule:
% 57.69/8.69 # No SInE strategy applied
% 57.69/8.69 # Trying AutoSched0 for 150 seconds
% 57.69/8.69 # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 57.69/8.69 # and selection function SelectComplexExceptUniqMaxHorn.
% 57.69/8.69 #
% 57.69/8.69 # Preprocessing time : 0.023 s
% 57.69/8.69 # Presaturation interreduction done
% 57.69/8.69
% 57.69/8.69 # Proof found!
% 57.69/8.69 # SZS status Theorem
% 57.69/8.69 # SZS output start CNFRefutation
% See solution above
% 57.69/8.69 # Training examples: 0 positive, 0 negative
% 57.69/8.69
% 57.69/8.69 # -------------------------------------------------
% 57.69/8.69 # User time : 6.022 s
% 57.69/8.69 # System time : 0.269 s
% 57.69/8.69 # Total time : 6.291 s
% 57.69/8.69 # Maximum resident set size: 7116 pages
% 57.69/8.69
%------------------------------------------------------------------------------