TSTP Solution File: SET615+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 00:12:50 EDT 2022
% Result : Theorem 46.77s 7.30s
% Output : CNFRefutation 46.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 12
% Syntax : Number of clauses : 172 ( 121 unt; 21 nHn; 30 RR)
% Number of literals : 236 ( 79 equ; 44 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 : 467 ( 76 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_6) ).
cnf(i_0_12,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_12) ).
cnf(i_0_11,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_11) ).
cnf(i_0_1,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_1) ).
cnf(i_0_4,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_4) ).
cnf(i_0_5,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_5) ).
cnf(i_0_2,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_2) ).
cnf(i_0_7,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_7) ).
cnf(i_0_3,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_3) ).
cnf(i_0_13,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_13) ).
cnf(i_0_10,plain,
union(X1,X2) = union(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_10) ).
cnf(i_0_19,negated_conjecture,
union(difference(esk3_0,esk5_0),difference(esk4_0,esk5_0)) != difference(union(esk3_0,esk4_0),esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3midw8gl/lgb.p',i_0_19) ).
cnf(c_0_32,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
i_0_6 ).
cnf(c_0_33,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
i_0_12 ).
cnf(c_0_34,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
i_0_11 ).
cnf(c_0_35,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X3) ),
i_0_1 ).
cnf(c_0_36,plain,
( member(X1,X2)
| member(X1,difference(X3,X2))
| ~ member(X1,X3) ),
i_0_4 ).
cnf(c_0_37,plain,
( subset(difference(X1,X2),X3)
| member(esk1_2(difference(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
i_0_5 ).
cnf(c_0_39,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
i_0_2 ).
cnf(c_0_40,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),difference(X1,X3))
| member(esk1_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_42,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_7 ).
cnf(c_0_43,plain,
subset(difference(X1,X2),X1),
inference(spm,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_44,plain,
( subset(difference(X1,X2),X3)
| ~ member(esk1_2(difference(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_45,plain,
( subset(X1,union(X2,X3))
| ~ member(esk1_2(X1,union(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_46,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X3,X2)) ),
i_0_3 ).
cnf(c_0_47,plain,
( subset(X1,union(X2,difference(X1,X3)))
| member(esk1_2(X1,union(X2,difference(X1,X3))),X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( difference(X1,X2) = X1
| ~ subset(X1,difference(X1,X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
subset(difference(X1,X1),X2),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
cnf(c_0_50,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_13 ).
cnf(c_0_51,plain,
( subset(X1,union(union(X2,X3),X4))
| ~ member(esk1_2(X1,union(union(X2,X3),X4)),X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_52,plain,
( subset(union(X1,X2),X3)
| member(esk1_2(union(X1,X2),X3),X2)
| member(esk1_2(union(X1,X2),X3),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_33]) ).
cnf(c_0_53,plain,
subset(X1,union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_45,c_0_47]) ).
cnf(c_0_54,plain,
difference(difference(X1,X1),X2) = difference(X1,X1),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,plain,
( member(X1,X2)
| ~ member(X1,difference(X3,X3)) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_56,plain,
subset(X1,union(union(X2,X3),difference(X1,X3))),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_57,plain,
union(X1,X2) = union(X2,X1),
i_0_10 ).
cnf(c_0_58,plain,
( subset(X1,union(X2,union(X3,X4)))
| ~ member(esk1_2(X1,union(X2,union(X3,X4))),X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_59,plain,
( subset(union(X1,X2),X1)
| member(esk1_2(union(X1,X2),X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_60,plain,
( member(X1,union(X2,difference(X3,X2)))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_61,plain,
( subset(difference(difference(X1,X2),X3),X4)
| member(esk1_2(difference(difference(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_62,plain,
~ member(X1,difference(X2,X2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_54]),c_0_55]) ).
cnf(c_0_63,plain,
subset(X1,union(X2,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_64,plain,
( subset(X1,difference(X1,X2))
| member(esk1_2(X1,difference(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_65,plain,
subset(X1,union(union(X2,X3),difference(X1,X2))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
subset(union(X1,union(X2,union(X3,X1))),union(X2,union(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_57]) ).
cnf(c_0_67,plain,
( subset(X1,union(X2,difference(X3,X2)))
| ~ member(esk1_2(X1,union(X2,difference(X3,X2))),X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_60]) ).
cnf(c_0_68,plain,
( X1 = difference(X2,X2)
| ~ subset(X1,difference(X2,X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_69,plain,
subset(difference(difference(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_44,c_0_61]) ).
cnf(c_0_70,plain,
subset(union(X1,difference(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_62,c_0_59]) ).
cnf(c_0_71,plain,
subset(X1,union(X1,X2)),
inference(spm,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_72,plain,
( subset(difference(union(X1,X2),X3),X4)
| member(esk1_2(difference(union(X1,X2),X3),X4),X2)
| member(esk1_2(difference(union(X1,X2),X3),X4),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_73,plain,
( subset(X1,difference(X1,difference(X2,X3)))
| ~ member(esk1_2(X1,difference(X1,difference(X2,X3))),X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_64]) ).
cnf(c_0_74,plain,
subset(X1,union(difference(X1,X2),union(X2,X3))),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_75,plain,
union(X1,union(X2,union(X3,X1))) = union(X2,union(X3,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_66]),c_0_63])]) ).
cnf(c_0_76,plain,
subset(union(X1,union(X2,difference(X1,X2))),union(X2,difference(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_57]) ).
cnf(c_0_77,plain,
difference(difference(X1,X2),X1) = difference(X3,X3),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,plain,
union(X1,difference(X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_70]),c_0_71])]) ).
cnf(c_0_79,plain,
( subset(difference(union(X1,X2),X3),X1)
| member(esk1_2(difference(union(X1,X2),X3),X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_72]) ).
cnf(c_0_80,plain,
subset(X1,difference(X1,difference(X2,X1))),
inference(spm,[status(thm)],[c_0_73,c_0_33]) ).
cnf(c_0_81,plain,
( member(X1,difference(union(X2,X3),X4))
| member(X1,X4)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_82,plain,
subset(X1,union(X2,union(X3,difference(X1,X2)))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
subset(union(X1,difference(X1,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_78]),c_0_57]) ).
cnf(c_0_84,plain,
subset(difference(union(X1,X2),X2),X1),
inference(spm,[status(thm)],[c_0_44,c_0_79]) ).
cnf(c_0_85,plain,
difference(X1,difference(X2,X1)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_80]),c_0_43])]) ).
cnf(c_0_86,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),difference(union(X3,X1),X4))
| member(esk1_2(X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_81,c_0_33]) ).
cnf(c_0_87,plain,
subset(X1,union(X2,union(difference(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_82,c_0_57]) ).
cnf(c_0_88,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_42,c_0_76]),c_0_63])]) ).
cnf(c_0_89,plain,
union(X1,union(union(X2,X1),X3)) = union(union(X2,X1),X3),
inference(spm,[status(thm)],[c_0_75,c_0_57]) ).
cnf(c_0_90,plain,
union(X1,difference(X1,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_83]),c_0_71])]) ).
cnf(c_0_91,plain,
subset(difference(union(X1,X2),X1),X2),
inference(spm,[status(thm)],[c_0_84,c_0_57]) ).
cnf(c_0_92,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),difference(X3,X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_85]) ).
cnf(c_0_93,plain,
( subset(X1,difference(union(X2,X1),X3))
| member(esk1_2(X1,difference(union(X2,X1),X3)),X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_86]) ).
cnf(c_0_94,plain,
subset(X1,union(X2,union(X3,difference(difference(X1,X2),X3)))),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,plain,
union(difference(X1,X2),union(X1,X3)) = union(X1,X3),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,plain,
( difference(union(X1,X2),X1) = X2
| ~ subset(X2,difference(union(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_91]) ).
cnf(c_0_97,plain,
subset(X1,difference(union(X2,X1),difference(X3,X1))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,plain,
subset(X1,union(X2,difference(difference(X1,difference(X2,X3)),X2))),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
difference(union(X1,difference(X2,X1)),difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_57]) ).
cnf(c_0_100,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),difference(X2,X3)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_77]),c_0_78]),c_0_78]) ).
cnf(c_0_101,plain,
subset(union(X1,difference(X2,X1)),union(X2,difference(X1,X2))),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,plain,
subset(X1,union(difference(X1,X2),union(X3,X2))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_103,plain,
( subset(union(difference(X1,X2),X3),X1)
| member(esk1_2(union(difference(X1,X2),X3),X1),X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_52]) ).
cnf(c_0_104,plain,
union(X1,difference(X2,X1)) = union(X2,difference(X1,X2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_101]),c_0_101])]) ).
cnf(c_0_105,plain,
subset(X1,union(X2,difference(X1,difference(X2,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_90]),c_0_57]) ).
cnf(c_0_106,plain,
subset(union(X1,difference(union(X1,X2),X3)),union(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_103]),c_0_57]) ).
cnf(c_0_107,plain,
difference(union(X1,difference(X2,X1)),difference(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_99,c_0_104]) ).
cnf(c_0_108,plain,
subset(union(X1,difference(X2,X1)),union(X2,X1)),
inference(spm,[status(thm)],[c_0_105,c_0_99]) ).
cnf(c_0_109,plain,
( subset(difference(difference(X1,X2),X3),X4)
| ~ member(esk1_2(difference(difference(X1,X2),X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_110,plain,
subset(union(X1,X2),union(X1,difference(X2,X1))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
subset(union(X1,difference(X2,X1)),union(X1,X2)),
inference(spm,[status(thm)],[c_0_108,c_0_57]) ).
cnf(c_0_112,plain,
( subset(X1,union(X2,difference(X1,difference(X3,X4))))
| ~ member(esk1_2(X1,union(X2,difference(X1,difference(X3,X4)))),X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_113,plain,
( subset(union(X1,X2),union(X1,X3))
| member(esk1_2(union(X1,X2),union(X1,X3)),X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_114,plain,
subset(difference(difference(X1,X2),X3),difference(difference(difference(X1,X2),X3),X2)),
inference(spm,[status(thm)],[c_0_109,c_0_64]) ).
cnf(c_0_115,plain,
difference(union(X1,difference(X2,X1)),X1) = difference(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_99]),c_0_57]) ).
cnf(c_0_116,plain,
union(X1,difference(X2,X1)) = union(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_110]),c_0_111])]) ).
cnf(c_0_117,plain,
subset(union(X1,X2),union(X1,difference(union(X1,X2),difference(X3,X2)))),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,plain,
difference(difference(difference(X1,X2),X3),X2) = difference(difference(X1,X2),X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_114]),c_0_43])]) ).
cnf(c_0_119,plain,
difference(union(X1,X2),X1) = difference(X2,X1),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,plain,
union(X1,difference(union(X1,X2),difference(X3,X2))) = union(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_117]),c_0_106])]) ).
cnf(c_0_121,plain,
difference(difference(X1,X2),difference(X3,X1)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_118,c_0_85]) ).
cnf(c_0_122,plain,
difference(difference(union(X1,X2),difference(X3,X2)),X1) = difference(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_119]) ).
cnf(c_0_123,plain,
difference(union(X1,X2),difference(X2,X1)) = X1,
inference(rw,[status(thm)],[c_0_99,c_0_116]) ).
cnf(c_0_124,plain,
union(difference(X1,X2),union(X3,X1)) = union(X3,X1),
inference(spm,[status(thm)],[c_0_75,c_0_90]) ).
cnf(c_0_125,plain,
difference(difference(X1,X2),difference(X2,X3)) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_85,c_0_121]) ).
cnf(c_0_126,plain,
difference(X1,difference(difference(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_85,c_0_118]) ).
cnf(c_0_127,plain,
difference(difference(union(X1,X2),difference(X3,X1)),X2) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_122,c_0_57]) ).
cnf(c_0_128,plain,
difference(difference(union(X1,difference(X2,X3)),X3),X1) = difference(difference(X2,X3),X1),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_129,plain,
subset(difference(X1,X2),difference(union(X3,difference(X1,X2)),X2)),
inference(spm,[status(thm)],[c_0_44,c_0_93]) ).
cnf(c_0_130,plain,
union(union(X1,X2),difference(X2,X3)) = union(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_124]) ).
cnf(c_0_131,plain,
difference(union(X1,difference(difference(X2,X1),X3)),difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_122]),c_0_126]),c_0_57]) ).
cnf(c_0_132,plain,
difference(difference(union(X1,X2),difference(X3,X1)),difference(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_116]),c_0_85]) ).
cnf(c_0_133,plain,
difference(union(difference(X1,X2),difference(X3,X1)),X1) = difference(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_128]),c_0_125]) ).
cnf(c_0_134,plain,
subset(difference(X1,X2),difference(union(X3,X1),X2)),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
difference(union(X1,X2),difference(union(X1,X3),difference(X2,X1))) = difference(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_57]),c_0_116]) ).
cnf(c_0_136,plain,
( subset(union(X1,X2),union(X3,X1))
| member(esk1_2(union(X1,X2),union(X3,X1)),X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_52]) ).
cnf(c_0_137,plain,
union(X1,union(difference(X1,X2),difference(X3,X1))) = union(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_133]),c_0_116]) ).
cnf(c_0_138,plain,
subset(difference(X1,difference(union(X2,X3),difference(X1,X2))),difference(X1,X2)),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_139,plain,
subset(difference(X1,X2),difference(X1,difference(X3,difference(X1,X2)))),
inference(spm,[status(thm)],[c_0_97,c_0_90]) ).
cnf(c_0_140,plain,
subset(union(X1,X2),union(union(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_51,c_0_136]) ).
cnf(c_0_141,plain,
subset(union(X1,union(X1,X2)),union(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_59]),c_0_57]) ).
cnf(c_0_142,plain,
union(difference(X1,X2),union(X2,difference(difference(X1,X2),X3))) = union(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_123]),c_0_57]),c_0_124]) ).
cnf(c_0_143,plain,
difference(X1,difference(union(X2,X3),difference(X1,X2))) = difference(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_138]),c_0_139])]) ).
cnf(c_0_144,plain,
union(X1,union(difference(X2,X1),difference(X1,X3))) = union(X1,X2),
inference(spm,[status(thm)],[c_0_137,c_0_57]) ).
cnf(c_0_145,plain,
union(X1,difference(union(X1,X2),difference(X3,difference(X2,X1)))) = union(X1,X2),
inference(spm,[status(thm)],[c_0_120,c_0_116]) ).
cnf(c_0_146,plain,
subset(union(X1,union(X2,X1)),union(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_59]),c_0_57]) ).
cnf(c_0_147,plain,
subset(union(X1,X2),union(X1,union(X3,X2))),
inference(spm,[status(thm)],[c_0_140,c_0_57]) ).
cnf(c_0_148,plain,
union(X1,union(X1,X2)) = union(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_141]),c_0_63])]) ).
cnf(c_0_149,plain,
union(X1,difference(union(X2,X3),difference(X1,X2))) = union(difference(X1,X2),union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_57]) ).
cnf(c_0_150,plain,
union(X1,difference(union(X1,X2),difference(X1,X3))) = union(X1,X2),
inference(spm,[status(thm)],[c_0_145,c_0_121]) ).
cnf(c_0_151,plain,
union(X1,union(X2,X1)) = union(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_146]),c_0_63])]) ).
cnf(c_0_152,plain,
subset(union(X1,X2),union(X2,union(X3,X1))),
inference(spm,[status(thm)],[c_0_147,c_0_57]) ).
cnf(c_0_153,plain,
union(X1,union(difference(X1,X2),union(X2,X3))) = union(difference(X1,X2),union(X2,X3)),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,plain,
union(X1,difference(union(X2,X1),difference(X1,X3))) = union(X2,X1),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_155,plain,
union(union(X1,X2),difference(X1,X3)) = union(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_95]) ).
cnf(c_0_156,plain,
difference(union(X1,difference(X2,X1)),X2) = difference(X1,X2),
inference(spm,[status(thm)],[c_0_115,c_0_104]) ).
cnf(c_0_157,plain,
difference(union(X1,X2),difference(X1,X2)) = X2,
inference(rw,[status(thm)],[c_0_107,c_0_116]) ).
cnf(c_0_158,plain,
subset(union(union(X1,X2),X3),union(difference(X3,X1),union(X1,X2))),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,plain,
union(difference(X1,X2),difference(X1,difference(difference(X1,X2),X3))) = X1,
inference(spm,[status(thm)],[c_0_154,c_0_90]) ).
cnf(c_0_160,plain,
subset(union(X1,difference(X2,X3)),union(X2,X1)),
inference(spm,[status(thm)],[c_0_140,c_0_90]) ).
cnf(c_0_161,plain,
subset(union(difference(X1,X2),X3),union(X1,X3)),
inference(spm,[status(thm)],[c_0_140,c_0_155]) ).
cnf(c_0_162,plain,
difference(union(X1,X2),X2) = difference(X1,X2),
inference(rw,[status(thm)],[c_0_156,c_0_116]) ).
cnf(c_0_163,plain,
difference(union(X1,X2),difference(union(X1,X2),difference(X1,X3))) = difference(X1,X3),
inference(spm,[status(thm)],[c_0_157,c_0_155]) ).
cnf(c_0_164,plain,
subset(union(X1,X2),union(X1,difference(X2,difference(X1,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_57]) ).
cnf(c_0_165,plain,
subset(union(X1,difference(X2,X3)),union(X1,X2)),
inference(spm,[status(thm)],[c_0_160,c_0_57]) ).
cnf(c_0_166,plain,
subset(union(difference(X1,X2),X3),union(X3,X1)),
inference(spm,[status(thm)],[c_0_161,c_0_57]) ).
cnf(c_0_167,plain,
difference(X1,difference(union(X1,X2),difference(X1,X3))) = difference(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_150]),c_0_163]) ).
cnf(c_0_168,plain,
union(X1,difference(union(X2,X3),difference(X1,X3))) = union(difference(X1,X3),union(X2,X3)),
inference(spm,[status(thm)],[c_0_149,c_0_151]) ).
cnf(c_0_169,plain,
union(X1,difference(X2,difference(X1,X3))) = union(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_164]),c_0_165])]) ).
cnf(c_0_170,plain,
union(difference(X1,X2),union(X2,X3)) = union(union(X2,X3),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_158]),c_0_166])]) ).
cnf(c_0_171,plain,
difference(union(X1,X2),difference(union(union(X1,X2),X3),X2)) = X2,
inference(spm,[status(thm)],[c_0_167,c_0_157]) ).
cnf(c_0_172,plain,
union(difference(X1,X2),union(X3,X2)) = union(X1,union(X3,X2)),
inference(rw,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_173,plain,
union(union(X1,X2),union(X3,X1)) = union(union(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_162]),c_0_170]) ).
cnf(c_0_174,plain,
union(union(X1,X2),difference(X3,X2)) = union(union(X1,X2),X3),
inference(spm,[status(thm)],[c_0_169,c_0_171]) ).
cnf(c_0_175,plain,
union(union(X1,X2),X3) = union(X2,union(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_119]),c_0_172]),c_0_173]) ).
cnf(c_0_176,plain,
union(X1,difference(union(X1,difference(X2,X3)),X3)) = union(X1,difference(X2,X3)),
inference(spm,[status(thm)],[c_0_120,c_0_123]) ).
cnf(c_0_177,plain,
union(X1,union(difference(X2,X1),X3)) = union(X1,union(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175]),c_0_175]) ).
cnf(c_0_178,plain,
union(X1,difference(union(X1,X2),difference(X3,X1))) = difference(union(X1,X2),difference(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_132]),c_0_57]) ).
cnf(c_0_179,plain,
union(X1,difference(union(difference(X2,X3),X1),X3)) = union(difference(X2,X3),X1),
inference(spm,[status(thm)],[c_0_176,c_0_57]) ).
cnf(c_0_180,plain,
difference(union(difference(X1,X2),X3),X2) = difference(union(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_177]),c_0_119]) ).
cnf(c_0_181,plain,
union(X1,union(X2,X3)) = union(X2,union(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_162]),c_0_172]),c_0_175]),c_0_89]),c_0_175]) ).
cnf(c_0_182,plain,
union(X1,difference(union(X2,X1),difference(X3,X1))) = difference(union(X2,X1),difference(X3,X1)),
inference(spm,[status(thm)],[c_0_178,c_0_151]) ).
cnf(c_0_183,plain,
union(X1,difference(union(X2,X1),X3)) = union(difference(X2,X3),X1),
inference(rw,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_184,plain,
difference(union(X1,union(X2,X3)),X2) = difference(union(X3,X1),X2),
inference(spm,[status(thm)],[c_0_162,c_0_175]) ).
cnf(c_0_185,plain,
union(difference(X1,X2),union(X2,X3)) = union(X3,union(X1,X2)),
inference(rw,[status(thm)],[c_0_170,c_0_175]) ).
cnf(c_0_186,plain,
difference(union(X1,union(X2,X3)),X3) = difference(union(X1,X2),X3),
inference(spm,[status(thm)],[c_0_119,c_0_181]) ).
cnf(c_0_187,plain,
difference(union(X1,X2),difference(X3,X2)) = union(X2,difference(X1,difference(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183]),c_0_57]) ).
cnf(c_0_188,plain,
difference(union(X1,difference(X2,X3)),X3) = difference(union(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]) ).
cnf(c_0_189,negated_conjecture,
union(difference(esk3_0,esk5_0),difference(esk4_0,esk5_0)) != difference(union(esk3_0,esk4_0),esk5_0),
i_0_19 ).
cnf(c_0_190,plain,
union(difference(X1,X2),difference(X3,X2)) = difference(union(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_85]),c_0_188]) ).
cnf(c_0_191,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190]),c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 07:54:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 46.77/7.30 # ENIGMATIC: Solved by autoschedule-lgb:
% 46.77/7.30 # No SInE strategy applied
% 46.77/7.30 # Trying AutoSched0 for 150 seconds
% 46.77/7.30 # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 46.77/7.30 # and selection function SelectComplexExceptUniqMaxHorn.
% 46.77/7.30 #
% 46.77/7.30 # Preprocessing time : 0.023 s
% 46.77/7.30 # Presaturation interreduction done
% 46.77/7.30
% 46.77/7.30 # Proof found!
% 46.77/7.30 # SZS status Theorem
% 46.77/7.30 # SZS output start CNFRefutation
% See solution above
% 46.77/7.30 # Training examples: 0 positive, 0 negative
% 46.77/7.30
% 46.77/7.30 # -------------------------------------------------
% 46.77/7.30 # User time : 4.753 s
% 46.77/7.30 # System time : 0.195 s
% 46.77/7.30 # Total time : 4.947 s
% 46.77/7.30 # Maximum resident set size: 7128 pages
% 46.77/7.30
%------------------------------------------------------------------------------