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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET610+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 00:12:45 EDT 2022

% Result   : Theorem 19.20s 3.81s
% Output   : CNFRefutation 19.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  114 (  49 unt;  35 nHn;  33 RR)
%            Number of literals    :  202 (  54 equ;  51 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   1 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   :  277 (  30 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    ( subset(X1,X2)
    | ~ member(esk3_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_17) ).

cnf(i_0_3,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_3) ).

cnf(i_0_19,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_19) ).

cnf(i_0_13,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_13) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | member(esk3_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/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-vnxm60m8/input.p',i_0_8) ).

cnf(i_0_5,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_5) ).

cnf(i_0_6,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_6) ).

cnf(i_0_7,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_7) ).

cnf(i_0_14,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_14) ).

cnf(i_0_4,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_4) ).

cnf(i_0_9,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_9) ).

cnf(i_0_12,plain,
    union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_12) ).

cnf(i_0_21,negated_conjecture,
    difference(union(esk4_0,esk5_0),esk5_0) != difference(esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vnxm60m8/input.p',i_0_21) ).

cnf(c_0_36,plain,
    ( subset(X1,X2)
    | ~ member(esk3_2(X1,X2),X2) ),
    i_0_17 ).

cnf(c_0_37,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    i_0_3 ).

cnf(c_0_38,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_19 ).

cnf(c_0_39,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_13 ).

cnf(c_0_40,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk3_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    ( subset(X1,X2)
    | member(esk3_2(X1,X2),X1) ),
    i_0_18 ).

cnf(c_0_42,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X1)
    | member(esk2_2(X1,X2),X3)
    | ~ subset(X2,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    subset(X1,union(X2,X1)),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_8 ).

cnf(c_0_45,plain,
    ( member(esk3_2(X1,X2),X3)
    | subset(X1,X2)
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_41]) ).

cnf(c_0_46,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),union(X3,X2))
    | member(esk2_2(X1,X2),X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_5 ).

cnf(c_0_48,plain,
    ( member(esk3_2(difference(X1,X2),X3),X1)
    | subset(difference(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_44,c_0_41]) ).

cnf(c_0_49,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    i_0_6 ).

cnf(c_0_50,plain,
    ( member(esk3_2(X1,X2),union(X3,X1))
    | subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_43]) ).

cnf(c_0_51,plain,
    ( union(X1,X2) = X2
    | member(esk2_2(union(X1,X2),X2),union(X1,X2)) ),
    inference(ef,[status(thm)],[c_0_46]) ).

cnf(c_0_52,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    i_0_7 ).

cnf(c_0_53,plain,
    ( member(esk3_2(difference(union(X1,X2),X3),X4),X2)
    | member(esk3_2(difference(union(X1,X2),X3),X4),X1)
    | subset(difference(union(X1,X2),X3),X4) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,plain,
    ( member(esk3_2(X1,X2),difference(union(X3,X1),X4))
    | member(esk3_2(X1,X2),X4)
    | subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    i_0_14 ).

cnf(c_0_56,plain,
    ( union(X1,X2) = X2
    | member(esk2_2(union(X1,X2),X2),X2)
    | member(esk2_2(union(X1,X2),X2),X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_51]) ).

cnf(c_0_57,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_4 ).

cnf(c_0_58,plain,
    ( subset(difference(X1,X2),X3)
    | ~ member(esk3_2(difference(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_41]) ).

cnf(c_0_59,plain,
    ( member(esk3_2(difference(union(X1,X2),X3),X1),X2)
    | subset(difference(union(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_53]) ).

cnf(c_0_60,plain,
    ( member(esk3_2(X1,difference(union(X2,X1),X3)),X3)
    | subset(X1,difference(union(X2,X1),X3)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_54]) ).

cnf(c_0_61,plain,
    ( union(X1,X2) = X2
    | member(esk2_2(union(X1,X2),X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_51]) ).

cnf(c_0_62,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk3_2(X1,union(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_57]) ).

cnf(c_0_63,plain,
    ( member(esk3_2(X1,X2),difference(X1,X3))
    | member(esk3_2(X1,X2),X3)
    | subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_41]) ).

cnf(c_0_64,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_9 ).

cnf(c_0_65,plain,
    subset(difference(union(X1,X2),X2),X1),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    subset(difference(X1,X2),difference(union(X3,difference(X1,X2)),X2)),
    inference(spm,[status(thm)],[c_0_58,c_0_60]) ).

cnf(c_0_67,plain,
    union(X1,X2) = union(X2,X1),
    i_0_12 ).

cnf(c_0_68,plain,
    ( union(X1,X2) = X2
    | member(esk2_2(union(X1,X2),X2),X3)
    | ~ subset(X1,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_61]) ).

cnf(c_0_69,plain,
    ( subset(X1,union(union(X2,X3),X4))
    | ~ member(esk3_2(X1,union(union(X2,X3),X4)),X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_57]) ).

cnf(c_0_70,plain,
    ( member(esk3_2(X1,union(X2,difference(X1,X3))),X3)
    | subset(X1,union(X2,difference(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_40,c_0_63]) ).

cnf(c_0_71,plain,
    ( difference(union(X1,X2),X2) = X1
    | ~ subset(X1,difference(union(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,plain,
    subset(difference(X1,X2),difference(union(difference(X1,X2),X3),X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_73,plain,
    ( union(X1,X2) = X2
    | member(esk2_2(union(X1,X2),X2),union(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_43]) ).

cnf(c_0_74,plain,
    subset(X1,union(union(X2,X3),difference(X1,X2))),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,plain,
    difference(union(X1,difference(X2,X1)),X1) = difference(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_67]) ).

cnf(c_0_76,plain,
    ( union(difference(X1,X2),X3) = X3
    | member(esk2_2(union(difference(X1,X2),X3),X3),X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_61]) ).

cnf(c_0_77,plain,
    ( union(X1,X2) = X1
    | member(esk2_2(union(X1,X2),X1),union(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_67]) ).

cnf(c_0_78,plain,
    ( member(esk3_2(union(X1,X2),X3),X2)
    | member(esk3_2(union(X1,X2),X3),X1)
    | subset(union(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_47,c_0_41]) ).

cnf(c_0_79,plain,
    subset(union(X1,difference(X2,X1)),union(union(X1,X3),difference(X2,X1))),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    union(X1,difference(X1,X2)) = X1,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_76]),c_0_67]),c_0_67]),c_0_67]),c_0_77]) ).

cnf(c_0_81,plain,
    ( member(esk3_2(union(X1,X2),X1),X2)
    | subset(union(X1,X2),X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_78]) ).

cnf(c_0_82,plain,
    subset(union(X1,difference(union(X1,X2),X1)),union(X1,X2)),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_83,plain,
    subset(X1,union(X2,difference(X1,X2))),
    inference(spm,[status(thm)],[c_0_62,c_0_70]) ).

cnf(c_0_84,plain,
    subset(union(X1,union(X2,X1)),union(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_81]),c_0_67]) ).

cnf(c_0_85,plain,
    subset(difference(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_36,c_0_48]) ).

cnf(c_0_86,plain,
    union(X1,difference(union(X1,X2),X1)) = union(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_82]),c_0_83])]) ).

cnf(c_0_87,plain,
    union(X1,union(X2,X1)) = union(X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_84]),c_0_43])]) ).

cnf(c_0_88,plain,
    ( member(esk3_2(X1,difference(X1,X2)),X2)
    | subset(X1,difference(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_63]) ).

cnf(c_0_89,plain,
    subset(difference(X1,X1),X2),
    inference(spm,[status(thm)],[c_0_58,c_0_48]) ).

cnf(c_0_90,plain,
    ( difference(X1,X2) = X1
    | ~ subset(X1,difference(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_64,c_0_85]) ).

cnf(c_0_91,plain,
    ( member(esk3_2(union(X1,X2),X2),X1)
    | subset(union(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_78]) ).

cnf(c_0_92,plain,
    union(X1,difference(union(X2,X1),X1)) = union(X2,X1),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_93,plain,
    ( subset(X1,difference(X1,difference(X2,X3)))
    | ~ member(esk3_2(X1,difference(X1,difference(X2,X3))),X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_88]) ).

cnf(c_0_94,plain,
    ( subset(X1,union(X2,union(X3,X4)))
    | ~ member(esk3_2(X1,union(X2,union(X3,X4))),X4) ),
    inference(spm,[status(thm)],[c_0_40,c_0_37]) ).

cnf(c_0_95,plain,
    ( X1 = difference(X2,X2)
    | ~ subset(X1,difference(X2,X2)) ),
    inference(spm,[status(thm)],[c_0_64,c_0_89]) ).

cnf(c_0_96,plain,
    difference(difference(X1,X1),X2) = difference(X1,X1),
    inference(spm,[status(thm)],[c_0_90,c_0_89]) ).

cnf(c_0_97,plain,
    ( subset(union(difference(X1,X2),X3),X3)
    | ~ member(esk3_2(union(difference(X1,X2),X3),X3),X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_91]) ).

cnf(c_0_98,plain,
    union(difference(X1,X2),difference(X1,difference(X1,X2))) = X1,
    inference(spm,[status(thm)],[c_0_92,c_0_80]) ).

cnf(c_0_99,plain,
    subset(X1,difference(X1,difference(X2,X1))),
    inference(spm,[status(thm)],[c_0_93,c_0_41]) ).

cnf(c_0_100,plain,
    subset(union(X1,union(X2,union(X3,X1))),union(X2,union(X3,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_81]),c_0_67]) ).

cnf(c_0_101,plain,
    difference(X1,X1) = difference(X2,X2),
    inference(spm,[status(thm)],[c_0_95,c_0_89]) ).

cnf(c_0_102,plain,
    ( ~ member(X1,difference(X2,X2))
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_96]) ).

cnf(c_0_103,plain,
    ( subset(X1,difference(X1,difference(X1,X2)))
    | ~ member(esk3_2(X1,difference(X1,difference(X1,X2))),X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_104,plain,
    ( member(esk3_2(difference(union(X1,X2),X1),X3),X2)
    | subset(difference(union(X1,X2),X1),X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_53]) ).

cnf(c_0_105,plain,
    difference(X1,difference(X2,X1)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_99]),c_0_85])]) ).

cnf(c_0_106,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_64,c_0_100]),c_0_43])]) ).

cnf(c_0_107,plain,
    ~ member(X1,difference(X2,X2)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_101]),c_0_102]) ).

cnf(c_0_108,plain,
    subset(difference(union(X1,X2),X1),difference(difference(union(X1,X2),X1),difference(difference(union(X1,X2),X1),X2))),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,plain,
    ( union(X1,X2) = X1
    | member(esk2_2(union(X1,X2),X1),X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_67]) ).

cnf(c_0_110,plain,
    difference(union(X1,difference(X2,X1)),difference(X2,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_105]),c_0_67]) ).

cnf(c_0_111,plain,
    union(difference(X1,X2),union(X3,X1)) = union(X3,X1),
    inference(spm,[status(thm)],[c_0_106,c_0_80]) ).

cnf(c_0_112,plain,
    subset(X1,difference(X1,difference(X2,X2))),
    inference(spm,[status(thm)],[c_0_107,c_0_88]) ).

cnf(c_0_113,plain,
    difference(difference(union(X1,X2),X1),difference(difference(union(X1,X2),X1),X2)) = difference(union(X1,X2),X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_108]),c_0_85])]) ).

cnf(c_0_114,plain,
    ( union(X1,difference(X2,X3)) = X1
    | ~ member(esk2_2(union(X1,difference(X2,X3)),X1),X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_109]) ).

cnf(c_0_115,plain,
    ( union(X1,X2) = X1
    | member(esk2_2(union(X1,X2),X1),X3)
    | ~ subset(X2,X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_109]) ).

cnf(c_0_116,plain,
    difference(union(X1,X2),difference(union(X1,X2),X2)) = X2,
    inference(spm,[status(thm)],[c_0_110,c_0_92]) ).

cnf(c_0_117,plain,
    union(X1,difference(difference(X1,X2),X3)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_80]),c_0_67]) ).

cnf(c_0_118,plain,
    difference(X1,difference(X2,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_112]),c_0_85])]) ).

cnf(c_0_119,plain,
    difference(difference(union(X1,X2),X1),difference(union(X1,X2),X1)) = difference(difference(union(X1,X2),X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_113]),c_0_67]),c_0_80]) ).

cnf(c_0_120,plain,
    ( union(difference(X1,X1),X2) = X2
    | member(esk2_2(union(difference(X1,X1),X2),X2),X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_56]) ).

cnf(c_0_121,plain,
    ( union(X1,X2) = X1
    | ~ member(esk2_2(union(X1,X2),X1),X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_86]) ).

cnf(c_0_122,plain,
    ( union(X1,X2) = X1
    | member(esk2_2(union(X1,X2),X1),union(X3,difference(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_115,c_0_83]) ).

cnf(c_0_123,plain,
    difference(X1,difference(X1,difference(difference(X1,X2),X3))) = difference(difference(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_124,plain,
    difference(X1,difference(difference(union(X2,X3),X2),X3)) = X1,
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_125,plain,
    union(difference(X1,X1),X2) = X2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_120]),c_0_51]) ).

cnf(c_0_126,plain,
    union(X1,union(X2,difference(X1,X2))) = union(X2,difference(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_67]) ).

cnf(c_0_127,plain,
    difference(difference(union(X1,X2),X1),X2) = difference(union(X1,X2),union(X1,X2)),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_128,plain,
    union(X1,difference(X2,X2)) = X1,
    inference(spm,[status(thm)],[c_0_67,c_0_125]) ).

cnf(c_0_129,plain,
    union(X1,difference(union(X2,X1),X2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_128]),c_0_67]) ).

cnf(c_0_130,negated_conjecture,
    difference(union(esk4_0,esk5_0),esk5_0) != difference(esk4_0,esk5_0),
    i_0_21 ).

cnf(c_0_131,plain,
    subset(difference(union(X1,X2),X1),difference(X2,X1)),
    inference(spm,[status(thm)],[c_0_66,c_0_129]) ).

cnf(c_0_132,plain,
    subset(difference(X1,X2),difference(union(X3,X1),X2)),
    inference(spm,[status(thm)],[c_0_72,c_0_111]) ).

cnf(c_0_133,negated_conjecture,
    difference(union(esk5_0,esk4_0),esk5_0) != difference(esk4_0,esk5_0),
    inference(rw,[status(thm)],[c_0_130,c_0_67]) ).

cnf(c_0_134,plain,
    difference(union(X1,X2),X1) = difference(X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_131]),c_0_132])]) ).

cnf(c_0_135,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET610+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 Jul 10 15:58:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 19.20/3.81  # ENIGMATIC: Solved by autoschedule:
% 19.20/3.81  # No SInE strategy applied
% 19.20/3.81  # Trying AutoSched0 for 150 seconds
% 19.20/3.81  # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 19.20/3.81  # and selection function SelectComplexExceptUniqMaxHorn.
% 19.20/3.81  #
% 19.20/3.81  # Preprocessing time       : 0.014 s
% 19.20/3.81  # Presaturation interreduction done
% 19.20/3.81  
% 19.20/3.81  # Proof found!
% 19.20/3.81  # SZS status Theorem
% 19.20/3.81  # SZS output start CNFRefutation
% See solution above
% 19.20/3.82  # Training examples: 0 positive, 0 negative
% 19.20/3.82  
% 19.20/3.82  # -------------------------------------------------
% 19.20/3.82  # User time                : 1.485 s
% 19.20/3.82  # System time              : 0.081 s
% 19.20/3.82  # Total time               : 1.566 s
% 19.20/3.82  # Maximum resident set size: 7120 pages
% 19.20/3.82  
%------------------------------------------------------------------------------