TSTP Solution File: SET613+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET613+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 00:12:48 EDT 2022
% Result : Theorem 96.82s 13.68s
% Output : CNFRefutation 96.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 16
% Syntax : Number of clauses : 262 ( 189 unt; 27 nHn; 44 RR)
% Number of literals : 351 ( 132 equ; 63 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 705 ( 118 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_21) ).
cnf(i_0_3,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_3) ).
cnf(i_0_7,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_7) ).
cnf(i_0_22,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_22) ).
cnf(i_0_6,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_6) ).
cnf(i_0_23,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_23) ).
cnf(i_0_16,plain,
intersection(X1,X2) = intersection(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_16) ).
cnf(i_0_9,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_9) ).
cnf(i_0_12,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_12) ).
cnf(i_0_10,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_10) ).
cnf(i_0_11,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_11) ).
cnf(i_0_8,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_8) ).
cnf(i_0_4,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_4) ).
cnf(i_0_15,plain,
union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_15) ).
cnf(i_0_5,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_5) ).
cnf(i_0_25,negated_conjecture,
difference(union(esk4_0,esk5_0),intersection(esk4_0,esk5_0)) != union(difference(esk4_0,esk5_0),difference(esk5_0,esk4_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tonjn91w/lgb.p',i_0_25) ).
cnf(c_0_42,plain,
( subset(X1,X2)
| ~ member(esk3_2(X1,X2),X2) ),
i_0_21 ).
cnf(c_0_43,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_3 ).
cnf(c_0_44,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
i_0_7 ).
cnf(c_0_45,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),X1) ),
i_0_22 ).
cnf(c_0_46,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
i_0_6 ).
cnf(c_0_47,plain,
( subset(X1,union(X2,X3))
| ~ member(esk3_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( subset(intersection(X1,X2),X3)
| member(esk3_2(intersection(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,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_42,c_0_46]) ).
cnf(c_0_50,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_23 ).
cnf(c_0_51,plain,
subset(intersection(X1,X2),union(X3,X2)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,plain,
( subset(X1,intersection(X2,X1))
| ~ member(esk3_2(X1,intersection(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_53,plain,
subset(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_42,c_0_48]) ).
cnf(c_0_54,plain,
intersection(X1,X2) = intersection(X2,X1),
i_0_16 ).
cnf(c_0_55,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_9 ).
cnf(c_0_56,plain,
( member(X1,union(X2,X3))
| ~ member(X1,intersection(X4,X3)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_12 ).
cnf(c_0_58,plain,
subset(X1,intersection(X1,X1)),
inference(spm,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_59,plain,
subset(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),difference(X1,X3))
| member(esk3_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_45]) ).
cnf(c_0_61,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_10 ).
cnf(c_0_62,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_11 ).
cnf(c_0_63,plain,
( subset(intersection(X1,X2),X3)
| member(esk3_2(intersection(X1,X2),X3),union(X4,X2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_64,plain,
intersection(X1,X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_65,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
i_0_8 ).
cnf(c_0_66,plain,
( subset(X1,difference(X1,X2))
| member(esk3_2(X1,difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_67,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk3_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_45]) ).
cnf(c_0_68,plain,
( subset(difference(X1,X2),X3)
| member(esk3_2(difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_45]) ).
cnf(c_0_69,plain,
( subset(X1,X2)
| member(esk3_2(X1,X2),union(X3,X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_4 ).
cnf(c_0_71,plain,
( subset(X1,difference(X1,intersection(X2,X3)))
| member(esk3_2(X1,difference(X1,intersection(X2,X3))),X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( intersection(X1,X2) = X1
| ~ subset(X1,intersection(X1,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_59]) ).
cnf(c_0_73,plain,
subset(difference(X1,X1),X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,plain,
( intersection(X1,X2) = X2
| ~ subset(X2,intersection(X1,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_53]) ).
cnf(c_0_75,plain,
subset(X1,intersection(X1,union(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_69]),c_0_54]) ).
cnf(c_0_76,plain,
union(X1,X2) = union(X2,X1),
i_0_15 ).
cnf(c_0_77,plain,
( subset(X1,union(X2,X3))
| ~ member(esk3_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_70]) ).
cnf(c_0_78,plain,
( subset(X1,union(X2,difference(X1,X3)))
| member(esk3_2(X1,union(X2,difference(X1,X3))),X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_60]) ).
cnf(c_0_79,plain,
( subset(intersection(X1,difference(X2,X3)),X4)
| ~ member(esk3_2(intersection(X1,difference(X2,X3)),X4),X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_48]) ).
cnf(c_0_80,plain,
( subset(intersection(X1,X2),X3)
| member(esk3_2(intersection(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_45]) ).
cnf(c_0_81,plain,
subset(difference(X1,X2),difference(difference(X1,X2),intersection(X2,X3))),
inference(spm,[status(thm)],[c_0_67,c_0_71]) ).
cnf(c_0_82,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_42,c_0_68]) ).
cnf(c_0_83,plain,
intersection(difference(X1,X1),X2) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
intersection(X1,difference(X2,X2)) = difference(X2,X2),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_85,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_5 ).
cnf(c_0_86,plain,
subset(X1,intersection(X1,union(X1,X2))),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,plain,
subset(difference(X1,X2),union(X3,X1)),
inference(spm,[status(thm)],[c_0_47,c_0_68]) ).
cnf(c_0_88,plain,
subset(X1,union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,plain,
subset(intersection(X1,difference(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,plain,
difference(difference(X1,X2),intersection(X2,X3)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_81]),c_0_82])]) ).
cnf(c_0_91,plain,
subset(difference(X1,X2),intersection(X1,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_52,c_0_68]) ).
cnf(c_0_92,plain,
difference(X1,X1) = difference(X2,X2),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
( member(X1,X2)
| ~ member(X1,difference(X3,X3)) ),
inference(spm,[status(thm)],[c_0_50,c_0_73]) ).
cnf(c_0_94,plain,
( subset(union(X1,X2),X3)
| member(esk3_2(union(X1,X2),X3),X2)
| member(esk3_2(union(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_45]) ).
cnf(c_0_95,plain,
intersection(X1,union(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_86]),c_0_59])]) ).
cnf(c_0_96,plain,
( member(X1,union(X2,X3))
| ~ member(X1,difference(X3,X4)) ),
inference(spm,[status(thm)],[c_0_50,c_0_87]) ).
cnf(c_0_97,plain,
( subset(intersection(difference(X1,X2),X3),X4)
| ~ member(esk3_2(intersection(difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_80]) ).
cnf(c_0_98,plain,
( subset(intersection(X1,X2),X3)
| member(esk3_2(intersection(X1,X2),X3),difference(X2,X4))
| member(esk3_2(intersection(X1,X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
cnf(c_0_99,plain,
( subset(X1,difference(X1,difference(X2,X3)))
| ~ member(esk3_2(X1,difference(X1,difference(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_66]) ).
cnf(c_0_100,plain,
( member(X1,union(X2,difference(X3,X2)))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_88]) ).
cnf(c_0_101,plain,
subset(intersection(intersection(X1,X2),difference(X3,X1)),X4),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_102,plain,
intersection(X1,difference(X1,X2)) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_91]),c_0_53])]) ).
cnf(c_0_103,plain,
~ member(X1,difference(X2,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_92]),c_0_93]) ).
cnf(c_0_104,plain,
( subset(union(X1,X2),X1)
| member(esk3_2(union(X1,X2),X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_94]),c_0_95]),c_0_95]) ).
cnf(c_0_105,plain,
subset(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_106,plain,
( subset(intersection(X1,difference(X2,X3)),X4)
| member(esk3_2(intersection(X1,difference(X2,X3)),X4),X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_48]) ).
cnf(c_0_107,plain,
( subset(difference(X1,X2),X3)
| member(esk3_2(difference(X1,X2),X3),union(X4,X1)) ),
inference(spm,[status(thm)],[c_0_96,c_0_45]) ).
cnf(c_0_108,plain,
( subset(intersection(X1,X2),intersection(X3,X1))
| ~ member(esk3_2(intersection(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_80]) ).
cnf(c_0_109,plain,
( subset(intersection(X1,difference(X2,difference(X1,X3))),X4)
| member(esk3_2(intersection(X1,difference(X2,difference(X1,X3))),X4),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_54]),c_0_54]) ).
cnf(c_0_110,plain,
( subset(intersection(X1,X2),difference(X2,X3))
| member(esk3_2(intersection(X1,X2),difference(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_98]) ).
cnf(c_0_111,plain,
subset(X1,difference(X1,difference(X2,X1))),
inference(spm,[status(thm)],[c_0_99,c_0_45]) ).
cnf(c_0_112,plain,
( subset(X1,union(X2,difference(X3,X2)))
| ~ member(esk3_2(X1,union(X2,difference(X3,X2))),X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_100]) ).
cnf(c_0_113,plain,
( X1 = difference(X2,X2)
| ~ subset(X1,difference(X2,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_73]) ).
cnf(c_0_114,plain,
subset(difference(intersection(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_115,plain,
subset(union(X1,difference(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_116,plain,
subset(X1,union(X1,X2)),
inference(spm,[status(thm)],[c_0_105,c_0_76]) ).
cnf(c_0_117,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_49,c_0_106]) ).
cnf(c_0_118,plain,
subset(difference(X1,X2),intersection(union(X3,X1),difference(X1,X2))),
inference(spm,[status(thm)],[c_0_52,c_0_107]) ).
cnf(c_0_119,plain,
subset(intersection(X1,difference(X2,difference(X1,X3))),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_120,plain,
subset(intersection(difference(X1,X2),X3),difference(X3,X2)),
inference(spm,[status(thm)],[c_0_97,c_0_110]) ).
cnf(c_0_121,plain,
difference(X1,difference(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_111]),c_0_82])]) ).
cnf(c_0_122,plain,
subset(union(X1,union(X2,difference(X1,X2))),union(X2,difference(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_104]),c_0_76]) ).
cnf(c_0_123,plain,
difference(intersection(X1,X2),X1) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
union(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_115]),c_0_116])]) ).
cnf(c_0_125,plain,
subset(intersection(X1,difference(X2,difference(X1,X3))),intersection(X3,X2)),
inference(spm,[status(thm)],[c_0_117,c_0_109]) ).
cnf(c_0_126,plain,
intersection(union(X1,X2),difference(X2,X3)) = difference(X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_118]),c_0_53])]) ).
cnf(c_0_127,plain,
subset(difference(X1,difference(X1,X2)),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_119,c_0_102]) ).
cnf(c_0_128,plain,
subset(intersection(X1,X2),difference(X2,difference(X3,X1))),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_129,plain,
subset(union(X1,intersection(X1,X2)),X1),
inference(rw,[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_124]),c_0_76]) ).
cnf(c_0_130,plain,
subset(difference(X1,difference(union(X2,X1),X3)),intersection(X3,X1)),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_131,plain,
difference(X1,difference(X1,X2)) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_127]),c_0_128])]) ).
cnf(c_0_132,plain,
subset(union(X1,difference(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_129,c_0_102]) ).
cnf(c_0_133,plain,
difference(X1,difference(union(X2,X1),X3)) = intersection(X3,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_130]),c_0_128])]) ).
cnf(c_0_134,plain,
difference(X1,intersection(X2,X1)) = difference(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_131]),c_0_54]),c_0_102]) ).
cnf(c_0_135,plain,
union(X1,difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_132]),c_0_116])]) ).
cnf(c_0_136,plain,
intersection(X1,difference(union(X2,X1),X3)) = difference(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_133]),c_0_134]),c_0_54]) ).
cnf(c_0_137,plain,
difference(difference(X1,X2),difference(X1,X3)) = intersection(X3,difference(X1,X2)),
inference(spm,[status(thm)],[c_0_133,c_0_135]) ).
cnf(c_0_138,plain,
intersection(difference(X1,X2),difference(X1,X3)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_139,plain,
difference(difference(X1,X2),X3) = difference(difference(X1,X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_137]),c_0_134]),c_0_138]) ).
cnf(c_0_140,plain,
subset(intersection(X1,difference(X2,X3)),difference(intersection(X1,difference(X2,X3)),X3)),
inference(spm,[status(thm)],[c_0_79,c_0_66]) ).
cnf(c_0_141,plain,
( subset(difference(union(X1,X2),X3),X4)
| member(esk3_2(difference(union(X1,X2),X3),X4),X2)
| member(esk3_2(difference(union(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_68]) ).
cnf(c_0_142,plain,
intersection(X1,difference(X2,X3)) = difference(intersection(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_139]),c_0_131]) ).
cnf(c_0_143,plain,
intersection(difference(X1,X2),union(X3,X1)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_126]) ).
cnf(c_0_144,plain,
difference(intersection(X1,difference(X2,X3)),X3) = intersection(X1,difference(X2,X3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_140]),c_0_82])]) ).
cnf(c_0_145,plain,
( subset(X1,union(X2,intersection(X3,X4)))
| ~ member(esk3_2(X1,union(X2,intersection(X3,X4))),X4)
| ~ member(esk3_2(X1,union(X2,intersection(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_146,plain,
( subset(X1,union(difference(X1,X2),X3))
| member(esk3_2(X1,union(difference(X1,X2),X3)),X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_60]) ).
cnf(c_0_147,plain,
( subset(difference(union(X1,X2),X3),difference(X1,X3))
| member(esk3_2(difference(union(X1,X2),X3),difference(X1,X3)),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_141]),c_0_142]),c_0_95]),c_0_142]),c_0_95]) ).
cnf(c_0_148,plain,
intersection(difference(X1,X2),union(X1,X3)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_143,c_0_76]) ).
cnf(c_0_149,plain,
union(X1,intersection(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_129]),c_0_116])]) ).
cnf(c_0_150,plain,
difference(X1,intersection(X1,X2)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_134,c_0_54]) ).
cnf(c_0_151,plain,
difference(intersection(difference(X1,X2),X3),X2) = intersection(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_144,c_0_54]) ).
cnf(c_0_152,plain,
difference(difference(X1,X2),intersection(X3,X2)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_54]) ).
cnf(c_0_153,plain,
( subset(X1,union(X2,intersection(X3,X1)))
| ~ member(esk3_2(X1,union(X2,intersection(X3,X1))),X3) ),
inference(spm,[status(thm)],[c_0_145,c_0_45]) ).
cnf(c_0_154,plain,
( subset(X1,union(difference(X1,intersection(X2,X3)),X4))
| member(esk3_2(X1,union(difference(X1,intersection(X2,X3)),X4)),X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_146]) ).
cnf(c_0_155,plain,
union(X1,union(X2,difference(X1,X2))) = union(X2,difference(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_122]),c_0_105])]) ).
cnf(c_0_156,plain,
subset(difference(union(X1,X2),X2),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_67,c_0_147]) ).
cnf(c_0_157,plain,
subset(difference(X1,X2),difference(union(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_120,c_0_148]) ).
cnf(c_0_158,plain,
union(union(X1,X2),difference(X2,X3)) = union(X1,X2),
inference(spm,[status(thm)],[c_0_149,c_0_126]) ).
cnf(c_0_159,plain,
difference(X1,difference(intersection(X1,X2),X3)) = difference(X1,difference(X2,X3)),
inference(spm,[status(thm)],[c_0_150,c_0_142]) ).
cnf(c_0_160,plain,
difference(intersection(X1,X2),difference(X3,X1)) = intersection(X1,X2),
inference(spm,[status(thm)],[c_0_151,c_0_121]) ).
cnf(c_0_161,plain,
intersection(X1,union(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_75]),c_0_59])]) ).
cnf(c_0_162,plain,
subset(intersection(intersection(X1,X2),difference(X3,X2)),X4),
inference(spm,[status(thm)],[c_0_89,c_0_152]) ).
cnf(c_0_163,plain,
subset(X1,union(intersection(X2,X1),difference(X1,intersection(X3,X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_76]) ).
cnf(c_0_164,plain,
intersection(X1,union(X2,difference(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_95,c_0_155]) ).
cnf(c_0_165,plain,
difference(union(X1,X2),X2) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_156]),c_0_157])]) ).
cnf(c_0_166,plain,
subset(difference(X1,X2),difference(difference(X1,X2),X2)),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_167,plain,
union(difference(X1,X2),union(X3,X1)) = union(X3,X1),
inference(spm,[status(thm)],[c_0_76,c_0_158]) ).
cnf(c_0_168,plain,
difference(X1,difference(X2,difference(X3,X1))) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_150]) ).
cnf(c_0_169,plain,
difference(difference(X1,union(X2,X3)),X3) = difference(X1,union(X2,X3)),
inference(spm,[status(thm)],[c_0_152,c_0_161]) ).
cnf(c_0_170,plain,
subset(difference(intersection(X1,X2),X2),X3),
inference(spm,[status(thm)],[c_0_162,c_0_102]) ).
cnf(c_0_171,plain,
subset(X1,union(difference(X1,X2),intersection(union(X3,X2),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_161]),c_0_76]) ).
cnf(c_0_172,plain,
intersection(union(X1,X2),union(X2,difference(X1,X2))) = union(X1,X2),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_173,plain,
difference(union(X1,X2),X1) = difference(X2,X1),
inference(spm,[status(thm)],[c_0_165,c_0_76]) ).
cnf(c_0_174,plain,
difference(difference(X1,X2),X2) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_166]),c_0_82])]) ).
cnf(c_0_175,plain,
union(difference(X1,X2),union(X1,X3)) = union(X1,X3),
inference(spm,[status(thm)],[c_0_167,c_0_76]) ).
cnf(c_0_176,plain,
difference(difference(X1,X2),difference(X3,X2)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_168,c_0_121]) ).
cnf(c_0_177,plain,
difference(difference(X1,X2),union(X3,X2)) = difference(X1,union(X3,X2)),
inference(rw,[status(thm)],[c_0_169,c_0_139]) ).
cnf(c_0_178,plain,
( subset(intersection(X1,X2),union(X3,intersection(X4,X2)))
| ~ member(esk3_2(intersection(X1,X2),union(X3,intersection(X4,X2))),X4) ),
inference(spm,[status(thm)],[c_0_145,c_0_48]) ).
cnf(c_0_179,plain,
( subset(intersection(X1,X2),union(difference(X2,X3),X4))
| member(esk3_2(intersection(X1,X2),union(difference(X2,X3),X4)),X3) ),
inference(spm,[status(thm)],[c_0_77,c_0_98]) ).
cnf(c_0_180,plain,
subset(difference(X1,union(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_170,c_0_161]) ).
cnf(c_0_181,plain,
subset(union(X1,difference(X2,X1)),union(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_174]),c_0_175]) ).
cnf(c_0_182,plain,
subset(union(X1,X2),union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_88,c_0_165]) ).
cnf(c_0_183,plain,
difference(difference(X1,X2),X3) = difference(X1,union(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_165]),c_0_176]),c_0_177]) ).
cnf(c_0_184,plain,
subset(intersection(X1,X2),union(difference(X2,X3),intersection(X3,X2))),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_185,plain,
( X1 = difference(X2,union(X3,X2))
| ~ subset(X1,difference(X2,union(X3,X2))) ),
inference(spm,[status(thm)],[c_0_57,c_0_180]) ).
cnf(c_0_186,plain,
intersection(X1,union(difference(X1,X2),intersection(X1,X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_150]),c_0_76]) ).
cnf(c_0_187,plain,
( X1 = difference(intersection(X2,X3),X2)
| ~ subset(X1,difference(intersection(X2,X3),X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_114]) ).
cnf(c_0_188,plain,
subset(intersection(X1,difference(X2,X3)),difference(X1,X3)),
inference(spm,[status(thm)],[c_0_120,c_0_54]) ).
cnf(c_0_189,plain,
subset(X1,difference(X1,difference(X2,X2))),
inference(spm,[status(thm)],[c_0_103,c_0_66]) ).
cnf(c_0_190,plain,
( difference(X1,X2) = X1
| ~ subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_57,c_0_82]) ).
cnf(c_0_191,plain,
union(X1,difference(X2,X1)) = union(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_181]),c_0_182])]) ).
cnf(c_0_192,plain,
difference(union(X1,X2),union(X3,X1)) = difference(X2,union(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_173]),c_0_183]) ).
cnf(c_0_193,plain,
subset(X1,union(difference(X1,X2),intersection(X2,X1))),
inference(spm,[status(thm)],[c_0_184,c_0_64]) ).
cnf(c_0_194,plain,
intersection(X1,difference(X2,union(X3,X1))) = difference(X1,union(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_120]),c_0_54]) ).
cnf(c_0_195,plain,
difference(X1,union(difference(X1,X2),intersection(X1,X2))) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_150,c_0_186]) ).
cnf(c_0_196,plain,
intersection(intersection(X1,X2),difference(X3,X1)) = difference(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_197,plain,
difference(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_189]),c_0_82])]) ).
cnf(c_0_198,plain,
difference(difference(intersection(X1,X2),X1),X3) = difference(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_190,c_0_114]) ).
cnf(c_0_199,plain,
union(union(X1,X2),union(X3,X1)) = union(X2,union(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_191]) ).
cnf(c_0_200,plain,
( union(difference(X1,X2),intersection(X2,X1)) = X1
| ~ subset(union(difference(X1,X2),intersection(X2,X1)),X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_193]) ).
cnf(c_0_201,plain,
subset(union(difference(X1,X2),intersection(X2,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_135]),c_0_131]) ).
cnf(c_0_202,plain,
difference(intersection(X1,X2),union(difference(X1,X2),intersection(X1,X2))) = difference(intersection(X1,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]) ).
cnf(c_0_203,plain,
difference(X1,difference(intersection(X2,X3),X2)) = X1,
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_204,plain,
intersection(X1,intersection(union(X2,X1),X3)) = intersection(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_150]),c_0_133]),c_0_54]) ).
cnf(c_0_205,plain,
difference(intersection(X1,X2),X2) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_113,c_0_170]) ).
cnf(c_0_206,plain,
subset(intersection(X1,X2),intersection(union(X3,X2),intersection(X1,X2))),
inference(spm,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_207,plain,
subset(intersection(X1,difference(X2,difference(X1,X3))),X3),
inference(spm,[status(thm)],[c_0_42,c_0_109]) ).
cnf(c_0_208,plain,
subset(union(X1,X2),union(X2,union(X3,X1))),
inference(spm,[status(thm)],[c_0_116,c_0_199]) ).
cnf(c_0_209,plain,
union(difference(X1,X2),intersection(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).
cnf(c_0_210,plain,
difference(X1,difference(X2,union(difference(X1,X2),intersection(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_202]),c_0_203]) ).
cnf(c_0_211,plain,
intersection(difference(X1,X2),X3) = difference(intersection(X1,X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_142]),c_0_142]),c_0_204]) ).
cnf(c_0_212,plain,
subset(union(X1,intersection(X2,X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_205]),c_0_124]),c_0_124]),c_0_76]) ).
cnf(c_0_213,plain,
difference(intersection(X1,X2),difference(X1,X3)) = intersection(X3,intersection(X1,X2)),
inference(spm,[status(thm)],[c_0_133,c_0_149]) ).
cnf(c_0_214,plain,
subset(intersection(X1,X2),intersection(X2,intersection(X1,X2))),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_215,plain,
subset(X1,intersection(X1,union(X2,union(X3,X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_161]),c_0_54]) ).
cnf(c_0_216,plain,
subset(union(difference(X1,X1),X2),X2),
inference(spm,[status(thm)],[c_0_115,c_0_76]) ).
cnf(c_0_217,plain,
difference(difference(intersection(X1,X2),X2),X3) = difference(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_190,c_0_170]) ).
cnf(c_0_218,plain,
subset(difference(X1,difference(X1,X2)),X2),
inference(spm,[status(thm)],[c_0_207,c_0_102]) ).
cnf(c_0_219,plain,
subset(union(intersection(X1,X2),X3),union(X3,X2)),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_220,plain,
difference(intersection(X1,X2),union(difference(X2,X1),intersection(X2,X1))) = difference(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_210]),c_0_211]) ).
cnf(c_0_221,plain,
intersection(X1,difference(intersection(X1,X2),X3)) = difference(intersection(X1,X2),X3),
inference(spm,[status(thm)],[c_0_126,c_0_149]) ).
cnf(c_0_222,plain,
intersection(X1,intersection(X2,union(X3,X1))) = intersection(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_133]),c_0_54]) ).
cnf(c_0_223,plain,
union(X1,intersection(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_212]),c_0_116])]) ).
cnf(c_0_224,plain,
intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_131]),c_0_213]) ).
cnf(c_0_225,plain,
intersection(X1,intersection(X2,X1)) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_214]),c_0_53])]) ).
cnf(c_0_226,plain,
intersection(X1,union(X2,union(X3,X1))) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_215]),c_0_59])]) ).
cnf(c_0_227,plain,
union(difference(X1,X1),X2) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_216]),c_0_105])]) ).
cnf(c_0_228,plain,
difference(difference(X1,union(X2,X1)),X3) = difference(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_217,c_0_161]) ).
cnf(c_0_229,plain,
intersection(difference(X1,X2),union(X3,difference(X1,X3))) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_148,c_0_155]) ).
cnf(c_0_230,plain,
( difference(X1,difference(X1,X2)) = X2
| ~ subset(X2,difference(X1,difference(X1,X2))) ),
inference(spm,[status(thm)],[c_0_57,c_0_218]) ).
cnf(c_0_231,plain,
subset(X1,difference(union(X2,X1),difference(X3,X1))),
inference(spm,[status(thm)],[c_0_128,c_0_161]) ).
cnf(c_0_232,plain,
subset(union(X1,intersection(X2,X3)),union(X1,X3)),
inference(spm,[status(thm)],[c_0_219,c_0_76]) ).
cnf(c_0_233,plain,
union(intersection(X1,X2),union(difference(X2,X1),intersection(X2,X1))) = union(difference(X2,X1),intersection(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_220]),c_0_124]),c_0_124]) ).
cnf(c_0_234,plain,
difference(intersection(X1,X2),union(X3,X1)) = difference(X1,union(X3,X1)),
inference(spm,[status(thm)],[c_0_221,c_0_194]) ).
cnf(c_0_235,plain,
intersection(X1,intersection(X2,X3)) = intersection(X2,intersection(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_236,plain,
intersection(intersection(X1,X2),union(X3,X1)) = intersection(X1,X2),
inference(spm,[status(thm)],[c_0_226,c_0_149]) ).
cnf(c_0_237,plain,
union(difference(X1,union(X2,X1)),X3) = X3,
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_238,plain,
subset(difference(X1,X2),difference(union(X3,difference(X1,X3)),X2)),
inference(spm,[status(thm)],[c_0_120,c_0_229]) ).
cnf(c_0_239,plain,
difference(union(X1,X2),difference(union(X1,X2),X2)) = X2,
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_240,plain,
subset(union(X1,X2),union(X1,union(X2,X3))),
inference(spm,[status(thm)],[c_0_232,c_0_95]) ).
cnf(c_0_241,plain,
union(intersection(X1,X2),intersection(X2,X1)) = intersection(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_204]),c_0_236]),c_0_237]),c_0_236]),c_0_237]) ).
cnf(c_0_242,plain,
union(X1,difference(X2,union(X1,X3))) = union(difference(X2,X3),X1),
inference(spm,[status(thm)],[c_0_191,c_0_183]) ).
cnf(c_0_243,plain,
subset(difference(X1,difference(union(X2,difference(X1,X2)),difference(X1,X2))),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_244,plain,
subset(difference(X1,X2),difference(X1,difference(X3,difference(X1,X2)))),
inference(spm,[status(thm)],[c_0_231,c_0_135]) ).
cnf(c_0_245,plain,
subset(X1,difference(union(X1,X2),difference(X3,X1))),
inference(spm,[status(thm)],[c_0_128,c_0_95]) ).
cnf(c_0_246,plain,
subset(union(X1,intersection(X2,X3)),union(X1,intersection(X3,X2))),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_247,plain,
subset(union(X1,X2),union(X2,union(X1,X3))),
inference(spm,[status(thm)],[c_0_208,c_0_76]) ).
cnf(c_0_248,plain,
union(X1,difference(X2,difference(X1,X3))) = union(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_135]),c_0_191]),c_0_76]) ).
cnf(c_0_249,plain,
difference(intersection(X1,X2),difference(X2,X3)) = intersection(X3,intersection(X1,X2)),
inference(spm,[status(thm)],[c_0_133,c_0_223]) ).
cnf(c_0_250,plain,
difference(X1,difference(union(X2,difference(X1,X2)),difference(X1,X2))) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_243]),c_0_244])]) ).
cnf(c_0_251,plain,
difference(union(X1,X2),difference(union(X1,X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_230,c_0_245]) ).
cnf(c_0_252,plain,
difference(X1,intersection(union(X2,X1),X3)) = difference(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_150]),c_0_136]) ).
cnf(c_0_253,plain,
subset(union(X1,intersection(X2,X3)),union(intersection(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_246,c_0_76]) ).
cnf(c_0_254,plain,
subset(union(intersection(X1,X2),X3),union(X3,intersection(X2,X1))),
inference(spm,[status(thm)],[c_0_247,c_0_241]) ).
cnf(c_0_255,plain,
union(intersection(X1,X2),difference(X1,difference(X2,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_159]),c_0_149]) ).
cnf(c_0_256,plain,
difference(intersection(X1,union(X2,X3)),difference(X2,X3)) = intersection(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_165]),c_0_222]) ).
cnf(c_0_257,plain,
difference(X1,union(X2,difference(X3,X1))) = difference(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_165]),c_0_168]) ).
cnf(c_0_258,plain,
difference(union(X1,X2),difference(union(X1,difference(union(X1,X2),X1)),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_76]) ).
cnf(c_0_259,plain,
difference(difference(X1,X2),intersection(X1,X3)) = difference(difference(X1,X2),X3),
inference(spm,[status(thm)],[c_0_252,c_0_135]) ).
cnf(c_0_260,plain,
union(intersection(X1,X2),X3) = union(X3,intersection(X2,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_253]),c_0_254])]) ).
cnf(c_0_261,plain,
union(intersection(X1,X2),intersection(X1,X3)) = intersection(X1,union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_224]),c_0_54]),c_0_95]) ).
cnf(c_0_262,plain,
difference(intersection(union(X1,X2),X3),X2) = difference(intersection(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_165]),c_0_211]) ).
cnf(c_0_263,plain,
intersection(X1,union(X2,difference(X3,X1))) = intersection(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_257]),c_0_131]),c_0_54]) ).
cnf(c_0_264,plain,
union(X1,difference(X2,union(X3,X1))) = union(difference(X2,X3),X1),
inference(spm,[status(thm)],[c_0_242,c_0_76]) ).
cnf(c_0_265,plain,
difference(union(X1,X2),difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_173]),c_0_174]),c_0_173]) ).
cnf(c_0_266,plain,
difference(intersection(X1,union(X2,X3)),X2) = difference(intersection(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_173]),c_0_142]) ).
cnf(c_0_267,plain,
difference(X1,union(intersection(X1,X2),X3)) = difference(X1,union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_183]),c_0_183]) ).
cnf(c_0_268,plain,
difference(difference(X1,X2),difference(X1,X3)) = difference(intersection(X3,X1),X2),
inference(rw,[status(thm)],[c_0_137,c_0_142]) ).
cnf(c_0_269,plain,
union(intersection(X1,X2),intersection(X2,X3)) = intersection(X2,union(X3,X1)),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_270,plain,
union(X1,intersection(union(X2,X1),X3)) = union(intersection(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_262]),c_0_191]),c_0_76]) ).
cnf(c_0_271,plain,
intersection(union(X1,X2),union(difference(X3,X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_161]) ).
cnf(c_0_272,plain,
union(difference(X1,X2),intersection(X1,union(X2,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_265]),c_0_76]) ).
cnf(c_0_273,plain,
union(X1,intersection(X2,union(X1,X3))) = union(intersection(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_266]),c_0_191]),c_0_76]) ).
cnf(c_0_274,plain,
intersection(X1,union(intersection(X1,X2),X3)) = intersection(union(X2,X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_267]),c_0_131]),c_0_54]) ).
cnf(c_0_275,plain,
difference(X1,union(difference(X1,X2),X3)) = difference(intersection(X2,X1),X3),
inference(rw,[status(thm)],[c_0_268,c_0_183]) ).
cnf(c_0_276,plain,
difference(X1,difference(intersection(X2,X1),X3)) = difference(X1,difference(X2,X3)),
inference(spm,[status(thm)],[c_0_134,c_0_211]) ).
cnf(c_0_277,plain,
intersection(union(X1,X2),union(X3,X2)) = union(intersection(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_161]),c_0_270]) ).
cnf(c_0_278,plain,
intersection(union(X1,X2),X3) = intersection(X3,union(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]),c_0_54]),c_0_274]) ).
cnf(c_0_279,plain,
intersection(X1,union(difference(X1,X2),X3)) = difference(X1,difference(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_275]),c_0_276]),c_0_54]) ).
cnf(c_0_280,plain,
union(intersection(X1,X2),difference(X2,X3)) = difference(X2,difference(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_135]),c_0_278]),c_0_279]) ).
cnf(c_0_281,plain,
difference(X1,intersection(X2,intersection(X1,X3))) = difference(X1,intersection(X2,X3)),
inference(spm,[status(thm)],[c_0_150,c_0_235]) ).
cnf(c_0_282,plain,
union(difference(X1,X2),intersection(X2,intersection(X3,X1))) = difference(X1,difference(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_249]),c_0_280]) ).
cnf(c_0_283,plain,
difference(X1,difference(X2,difference(X1,X3))) = difference(X1,intersection(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_213]),c_0_281]) ).
cnf(c_0_284,plain,
difference(union(X1,X2),difference(X2,X3)) = union(difference(X1,X2),intersection(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_222]),c_0_165]) ).
cnf(c_0_285,negated_conjecture,
difference(union(esk4_0,esk5_0),intersection(esk4_0,esk5_0)) != union(difference(esk4_0,esk5_0),difference(esk5_0,esk4_0)),
i_0_25 ).
cnf(c_0_286,plain,
difference(union(X1,X2),intersection(X3,X2)) = union(difference(X1,X2),difference(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_211]),c_0_54]),c_0_161]) ).
cnf(c_0_287,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET613+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 03:43:57 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 96.82/13.68 # ENIGMATIC: Solved by autoschedule-lgb:
% 96.82/13.68 # No SInE strategy applied
% 96.82/13.68 # Trying AutoSched0 for 150 seconds
% 96.82/13.68 # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 96.82/13.68 # and selection function SelectComplexExceptUniqMaxHorn.
% 96.82/13.68 #
% 96.82/13.68 # Preprocessing time : 0.023 s
% 96.82/13.68 # Presaturation interreduction done
% 96.82/13.68
% 96.82/13.68 # Proof found!
% 96.82/13.68 # SZS status Theorem
% 96.82/13.68 # SZS output start CNFRefutation
% See solution above
% 96.82/13.68 # Training examples: 0 positive, 0 negative
% 96.82/13.68
% 96.82/13.68 # -------------------------------------------------
% 96.82/13.68 # User time : 10.588 s
% 96.82/13.68 # System time : 0.475 s
% 96.82/13.68 # Total time : 11.063 s
% 96.82/13.68 # Maximum resident set size: 7120 pages
% 96.82/13.68
%------------------------------------------------------------------------------