TSTP Solution File: SET608+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET608+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 00:12:43 EDT 2022

% Result   : Theorem 35.81s 5.83s
% Output   : CNFRefutation 35.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   70 (  22 unt;  19 nHn;  29 RR)
%            Number of literals    :  139 (  23 equ;  47 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  174 (  25 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_5) ).

cnf(i_0_19,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_19) ).

cnf(i_0_15,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_15) ).

cnf(i_0_1,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_1) ).

cnf(i_0_20,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_20) ).

cnf(i_0_17,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_17) ).

cnf(i_0_16,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_16) ).

cnf(i_0_4,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_4) ).

cnf(i_0_14,plain,
    intersection(X1,X2) = intersection(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_14) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_3) ).

cnf(i_0_13,plain,
    union(X1,X2) = union(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_13) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_9) ).

cnf(i_0_2,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_2) ).

cnf(i_0_7,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_7) ).

cnf(i_0_10,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_10) ).

cnf(i_0_23,negated_conjecture,
    union(intersection(esk3_0,esk4_0),difference(esk3_0,esk4_0)) != esk3_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ln5e50xl/input.p',i_0_23) ).

cnf(c_0_40,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    i_0_5 ).

cnf(c_0_41,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_42,plain,
    ( intersection(X1,X2) = X3
    | member(esk2_2(intersection(X1,X2),X3),X3)
    | member(esk2_2(intersection(X1,X2),X3),X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    i_0_15 ).

cnf(c_0_44,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    i_0_1 ).

cnf(c_0_45,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    i_0_20 ).

cnf(c_0_46,plain,
    ( intersection(X1,X2) = X2
    | member(esk2_2(intersection(X1,X2),X2),X2) ),
    inference(ef,[status(thm)],[c_0_42]) ).

cnf(c_0_47,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_17 ).

cnf(c_0_48,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk1_2(X1,union(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_16 ).

cnf(c_0_50,plain,
    ( intersection(X1,X2) = X2
    | ~ member(esk2_2(intersection(X1,X2),X2),intersection(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_51,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    i_0_4 ).

cnf(c_0_52,plain,
    ( intersection(X1,X2) = X2
    | member(esk2_2(intersection(X1,X2),X2),X3)
    | ~ subset(X2,X3) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

cnf(c_0_53,plain,
    subset(X1,union(X2,X1)),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( intersection(X1,X2) = X2
    | ~ member(esk2_2(intersection(X1,X2),X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_46]) ).

cnf(c_0_55,plain,
    ( intersection(X1,X2) = X2
    | member(esk2_2(intersection(X1,X2),X2),union(X3,X2)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,plain,
    intersection(X1,X2) = intersection(X2,X1),
    i_0_14 ).

cnf(c_0_57,plain,
    ( subset(X1,intersection(X2,X3))
    | ~ member(esk1_2(X1,intersection(X2,X3)),X3)
    | ~ member(esk1_2(X1,intersection(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_51]) ).

cnf(c_0_58,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_3 ).

cnf(c_0_59,plain,
    intersection(X1,union(X2,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).

cnf(c_0_60,plain,
    union(X1,X2) = union(X2,X1),
    i_0_13 ).

cnf(c_0_61,plain,
    ( subset(X1,intersection(X2,X1))
    | ~ member(esk1_2(X1,intersection(X2,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_49]) ).

cnf(c_0_62,plain,
    ( member(esk1_2(union(X1,X2),X3),X2)
    | member(esk1_2(union(X1,X2),X3),X1)
    | subset(union(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_49]) ).

cnf(c_0_63,plain,
    intersection(X1,union(X1,X2)) = X1,
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(union(X4,X3),X2) ),
    inference(spm,[status(thm)],[c_0_47,c_0_44]) ).

cnf(c_0_65,plain,
    subset(X1,union(X1,X2)),
    inference(spm,[status(thm)],[c_0_53,c_0_60]) ).

cnf(c_0_66,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_9 ).

cnf(c_0_67,plain,
    ( member(esk1_2(union(X1,X2),X1),X2)
    | subset(union(X1,X2),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_63]) ).

cnf(c_0_68,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_2 ).

cnf(c_0_69,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    i_0_7 ).

cnf(c_0_70,plain,
    ( member(X1,union(union(X2,X3),X4))
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_71,plain,
    ( member(esk1_2(union(X1,difference(X2,X3)),X1),X2)
    | subset(union(X1,difference(X2,X3)),X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,plain,
    ( member(esk1_2(union(X1,intersection(X2,X3)),X1),X3)
    | subset(union(X1,intersection(X2,X3)),X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_67]) ).

cnf(c_0_73,plain,
    ( subset(X1,union(X2,intersection(X3,X4)))
    | ~ member(esk1_2(X1,union(X2,intersection(X3,X4))),X4)
    | ~ member(esk1_2(X1,union(X2,intersection(X3,X4))),X3) ),
    inference(spm,[status(thm)],[c_0_48,c_0_51]) ).

cnf(c_0_74,plain,
    ( subset(X1,union(X2,X3))
    | ~ member(esk1_2(X1,union(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_68]) ).

cnf(c_0_75,plain,
    ( member(esk1_2(X1,X2),difference(X1,X3))
    | member(esk1_2(X1,X2),X3)
    | subset(X1,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_49]) ).

cnf(c_0_76,plain,
    ( subset(X1,union(union(X2,X3),X4))
    | ~ member(esk1_2(X1,union(union(X2,X3),X4)),X3) ),
    inference(spm,[status(thm)],[c_0_43,c_0_70]) ).

cnf(c_0_77,plain,
    ( member(esk1_2(union(X1,X2),union(X3,X1)),X2)
    | subset(union(X1,X2),union(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_62]) ).

cnf(c_0_78,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_10 ).

cnf(c_0_79,plain,
    subset(union(X1,difference(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_43,c_0_71]) ).

cnf(c_0_80,plain,
    subset(union(X1,intersection(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_43,c_0_72]) ).

cnf(c_0_81,plain,
    ( subset(X1,union(X2,intersection(X3,X1)))
    | ~ member(esk1_2(X1,union(X2,intersection(X3,X1))),X3) ),
    inference(spm,[status(thm)],[c_0_73,c_0_49]) ).

cnf(c_0_82,plain,
    ( member(esk1_2(X1,union(difference(X1,X2),X3)),X2)
    | subset(X1,union(difference(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_83,plain,
    subset(union(X1,X2),union(union(X3,X2),X1)),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_84,plain,
    union(X1,difference(X1,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_65])]) ).

cnf(c_0_85,plain,
    subset(union(X1,intersection(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_80,c_0_56]) ).

cnf(c_0_86,plain,
    subset(X1,union(intersection(X2,X1),difference(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_60]) ).

cnf(c_0_87,plain,
    subset(union(X1,difference(X2,X3)),union(X2,X1)),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,plain,
    union(X1,intersection(X1,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_85]),c_0_65])]) ).

cnf(c_0_89,plain,
    subset(X1,union(intersection(X1,X2),difference(X1,X2))),
    inference(spm,[status(thm)],[c_0_86,c_0_56]) ).

cnf(c_0_90,plain,
    subset(union(intersection(X1,X2),difference(X1,X3)),X1),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_91,negated_conjecture,
    union(intersection(esk3_0,esk4_0),difference(esk3_0,esk4_0)) != esk3_0,
    i_0_23 ).

cnf(c_0_92,plain,
    union(intersection(X1,X2),difference(X1,X2)) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_89]),c_0_90])]) ).

cnf(c_0_93,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET608+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 07:22:48 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 35.81/5.83  # ENIGMATIC: Solved by autoschedule:
% 35.81/5.83  # No SInE strategy applied
% 35.81/5.83  # Trying AutoSched0 for 150 seconds
% 35.81/5.83  # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 35.81/5.83  # and selection function SelectComplexExceptUniqMaxHorn.
% 35.81/5.83  #
% 35.81/5.83  # Preprocessing time       : 0.012 s
% 35.81/5.83  # Presaturation interreduction done
% 35.81/5.83  
% 35.81/5.83  # Proof found!
% 35.81/5.83  # SZS status Theorem
% 35.81/5.83  # SZS output start CNFRefutation
% See solution above
% 35.81/5.83  # Training examples: 0 positive, 0 negative
% 35.81/5.83  
% 35.81/5.83  # -------------------------------------------------
% 35.81/5.83  # User time                : 3.467 s
% 35.81/5.83  # System time              : 0.181 s
% 35.81/5.83  # Total time               : 3.648 s
% 35.81/5.83  # Maximum resident set size: 7120 pages
% 35.81/5.83  
%------------------------------------------------------------------------------