%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 00:12:30 EDT 2022

% Result   : Theorem 6.70s 2.34s
% Output   : CNFRefutation 6.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  10 unt;   2 nHn;  15 RR)
%            Number of literals    :   32 (   5 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ~ member(X1,empty_set),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_7) ).

cnf(i_0_2,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_2) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | ~ subset(X3,X2)
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_3) ).

cnf(i_0_15,negated_conjecture,
    subset(esk3_0,difference(esk4_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_15) ).

cnf(i_0_5,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_5) ).

cnf(i_0_8,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_8) ).

cnf(i_0_14,negated_conjecture,
    empty_set != esk3_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9lrepg_a/input.p',i_0_14) ).

cnf(c_0_23,plain,
    ~ member(X1,empty_set),
    i_0_7 ).

cnf(c_0_24,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    i_0_2 ).

cnf(c_0_25,plain,
    ( member(X1,X2)
    | ~ subset(X3,X2)
    | ~ member(X1,X3) ),
    i_0_3 ).

cnf(c_0_26,negated_conjecture,
    subset(esk3_0,difference(esk4_0,esk3_0)),
    i_0_15 ).

cnf(c_0_27,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    i_0_5 ).

cnf(c_0_28,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_8 ).

cnf(c_0_29,plain,
    subset(empty_set,X1),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    ~ member(X1,esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_31,plain,
    ( X1 = empty_set
    | ~ subset(X1,empty_set) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    subset(esk3_0,X1),
    inference(spm,[status(thm)],[c_0_30,c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    empty_set != esk3_0,
    i_0_14 ).

cnf(c_0_34,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 12:25:48 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 6.70/2.34  # ENIGMATIC: Solved by autoschedule:
% 6.70/2.34  # No SInE strategy applied
% 6.70/2.34  # Trying AutoSched0 for 150 seconds
% 6.70/2.34  # AutoSched0-Mode selected heuristic G_____0010_evo
% 6.70/2.34  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.70/2.34  #
% 6.70/2.34  # Preprocessing time       : 0.013 s
% 6.70/2.34  
% 6.70/2.34  # Proof found!
% 6.70/2.34  # SZS status Theorem
% 6.70/2.34  # SZS output start CNFRefutation
% See solution above
% 6.70/2.34  # Training examples: 0 positive, 0 negative
% 6.70/2.34  
% 6.70/2.34  # -------------------------------------------------
% 6.70/2.34  # User time                : 0.012 s
% 6.70/2.34  # System time              : 0.006 s
% 6.70/2.34  # Total time               : 0.019 s
% 6.70/2.34  # Maximum resident set size: 7120 pages
% 6.70/2.34  
%------------------------------------------------------------------------------