TSTP Solution File: SET587+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 00:12:27 EDT 2022

% Result   : Theorem 8.73s 2.49s
% Output   : CNFRefutation 8.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (   6 unt;  12 nHn;  21 RR)
%            Number of literals    :   63 (  10 equ;  25 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 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   :   51 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_3) ).

cnf(i_0_20,negated_conjecture,
    ( difference(esk5_0,esk6_0) = empty_set
    | subset(esk5_0,esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_20) ).

cnf(i_0_6,plain,
    ~ member(X1,empty_set),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_6) ).

cnf(i_0_9,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_9) ).

cnf(i_0_7,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_7) ).

cnf(i_0_5,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_5) ).

cnf(i_0_8,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_8) ).

cnf(i_0_1,plain,
    ( X1 = X2
    | member(esk1_2(X1,X2),X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_1) ).

cnf(i_0_4,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_4) ).

cnf(i_0_21,negated_conjecture,
    ( difference(esk5_0,esk6_0) != empty_set
    | ~ subset(esk5_0,esk6_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggko7jkq/lgb.p',i_0_21) ).

cnf(c_0_32,plain,
    ( member(X1,X2)
    | member(X1,difference(X3,X2))
    | ~ member(X1,X3) ),
    i_0_3 ).

cnf(c_0_33,negated_conjecture,
    ( difference(esk5_0,esk6_0) = empty_set
    | subset(esk5_0,esk6_0) ),
    i_0_20 ).

cnf(c_0_34,plain,
    ~ member(X1,empty_set),
    i_0_6 ).

cnf(c_0_35,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_9 ).

cnf(c_0_36,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_7 ).

cnf(c_0_37,negated_conjecture,
    ( member(X1,esk6_0)
    | ~ member(X1,esk5_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).

cnf(c_0_38,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_5 ).

cnf(c_0_39,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_8 ).

cnf(c_0_40,plain,
    ( subset(X1,esk6_0)
    | ~ member(esk2_2(X1,esk6_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    ( member(esk2_2(difference(X1,X2),X3),X1)
    | subset(difference(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    subset(difference(esk5_0,X1),esk6_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,plain,
    ( X1 = X2
    | member(esk1_2(X1,X2),X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_1 ).

cnf(c_0_44,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    i_0_4 ).

cnf(c_0_45,plain,
    ( member(X1,esk6_0)
    | ~ member(X1,difference(esk5_0,X2)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_46,plain,
    ( empty_set = X1
    | member(esk1_2(empty_set,X1),X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ( difference(esk5_0,esk6_0) != empty_set
    | ~ subset(esk5_0,esk6_0) ),
    i_0_21 ).

cnf(c_0_48,plain,
    subset(esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_40,c_0_39]) ).

cnf(c_0_49,plain,
    ( X1 = difference(X2,X3)
    | member(esk1_2(X1,difference(X2,X3)),X1)
    | ~ member(esk1_2(X1,difference(X2,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_44,c_0_43]) ).

cnf(c_0_50,plain,
    ( difference(esk5_0,X1) = empty_set
    | member(esk1_2(empty_set,difference(esk5_0,X1)),esk6_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    difference(esk5_0,esk6_0) != empty_set,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).

cnf(c_0_52,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 : Sat Jul  9 18:40:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 8.73/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.73/2.49  # No SInE strategy applied
% 8.73/2.49  # Trying AutoSched0 for 150 seconds
% 8.73/2.49  # AutoSched0-Mode selected heuristic G_____0010_evo
% 8.73/2.49  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.73/2.49  #
% 8.73/2.49  # Preprocessing time       : 0.023 s
% 8.73/2.49  
% 8.73/2.49  # Proof found!
% 8.73/2.49  # SZS status Theorem
% 8.73/2.49  # SZS output start CNFRefutation
% See solution above
% 8.73/2.49  # Training examples: 0 positive, 0 negative
% 8.73/2.49  
% 8.73/2.49  # -------------------------------------------------
% 8.73/2.49  # User time                : 0.027 s
% 8.73/2.49  # System time              : 0.008 s
% 8.73/2.49  # Total time               : 0.035 s
% 8.73/2.49  # Maximum resident set size: 7128 pages
% 8.73/2.49  
%------------------------------------------------------------------------------