TSTP Solution File: SET595+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 00:12:33 EDT 2022

% Result   : Theorem 8.31s 2.44s
% Output   : CNFRefutation 8.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   44 (   9 unt;  12 nHn;  36 RR)
%            Number of literals    :   91 (   0 equ;  43 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,negated_conjecture,
    ~ equal_set(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_24) ).

cnf(i_0_5,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_5) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_18) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_19) ).

cnf(i_0_27,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_27) ).

cnf(i_0_26,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_26) ).

cnf(i_0_28,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_28) ).

cnf(i_0_1,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_1) ).

cnf(i_0_20,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_20) ).

cnf(i_0_25,negated_conjecture,
    subset(esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_25) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xwgso28h/lgb.p',i_0_3) ).

cnf(c_0_40,negated_conjecture,
    ~ equal_set(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),
    i_0_24 ).

cnf(c_0_41,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_5 ).

cnf(c_0_42,negated_conjecture,
    ( ~ subset(esk5_0,union(difference(esk5_0,esk4_0),esk4_0))
    | ~ subset(union(difference(esk5_0,esk4_0),esk4_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_44,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_45,negated_conjecture,
    ( ~ member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk5_0)
    | ~ subset(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),union(difference(esk5_0,esk4_0),esk4_0))
    | ~ subset(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_44]) ).

cnf(c_0_47,plain,
    ( ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),union(difference(esk5_0,esk4_0),esk4_0))
    | ~ member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_43]) ).

cnf(c_0_48,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_27 ).

cnf(c_0_49,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    i_0_26 ).

cnf(c_0_50,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_28 ).

cnf(c_0_51,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),union(difference(esk5_0,esk4_0),esk4_0))
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),union(difference(esk5_0,esk4_0),esk4_0)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_43]) ).

cnf(c_0_52,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),union(difference(esk5_0,esk4_0),esk4_0))
    | member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk5_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_44]) ).

cnf(c_0_53,plain,
    ( ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),difference(esk5_0,esk4_0))
    | ~ member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    i_0_1 ).

cnf(c_0_55,plain,
    ( member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk5_0)
    | ~ member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_44]) ).

cnf(c_0_56,plain,
    ( ~ member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk5_0)
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_49]) ).

cnf(c_0_57,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),difference(esk5_0,esk4_0))
    | member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0)
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),union(difference(esk5_0,esk4_0),esk4_0)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_58,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_20 ).

cnf(c_0_59,negated_conjecture,
    subset(esk4_0,esk5_0),
    i_0_25 ).

cnf(c_0_60,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_3 ).

cnf(c_0_61,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),difference(esk5_0,esk4_0))
    | member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk5_0)
    | member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_52]) ).

cnf(c_0_62,plain,
    ~ member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk5_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).

cnf(c_0_63,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),difference(esk5_0,esk4_0))
    | member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0)
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_49]) ).

cnf(c_0_64,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),difference(esk5_0,esk4_0))
    | member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0)
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),difference(esk5_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_48]) ).

cnf(c_0_65,negated_conjecture,
    ( member(X1,esk5_0)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0)
    | member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk5_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).

cnf(c_0_67,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0)
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk4_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_62]) ).

cnf(c_0_68,plain,
    ( member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0)
    | ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),difference(esk5_0,esk4_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_64]),c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk5_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    ~ member(esk2_2(esk5_0,union(difference(esk5_0,esk4_0),esk4_0)),esk4_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_62]) ).

cnf(c_0_71,plain,
    member(esk2_2(union(difference(esk5_0,esk4_0),esk4_0),esk5_0),esk4_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_54]),c_0_69])]),c_0_70]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_71]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET595+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.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 : Sun Jul 10 09:40:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.41  # ENIGMATIC: Selected SinE mode:
% 0.19/0.41  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.41  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.41  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.31/2.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.31/2.44  # No SInE strategy applied
% 8.31/2.44  # Trying AutoSched0 for 150 seconds
% 8.31/2.44  # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 8.31/2.44  # and selection function SelectVGNonCR.
% 8.31/2.44  #
% 8.31/2.44  # Preprocessing time       : 0.012 s
% 8.31/2.44  # Presaturation interreduction done
% 8.31/2.44  
% 8.31/2.44  # Proof found!
% 8.31/2.44  # SZS status Theorem
% 8.31/2.44  # SZS output start CNFRefutation
% See solution above
% 8.31/2.44  # Training examples: 0 positive, 0 negative
% 8.31/2.44  
% 8.31/2.44  # -------------------------------------------------
% 8.31/2.44  # User time                : 0.015 s
% 8.31/2.44  # System time              : 0.005 s
% 8.31/2.44  # Total time               : 0.021 s
% 8.31/2.44  # Maximum resident set size: 7124 pages
% 8.31/2.44  
%------------------------------------------------------------------------------