%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 08:39:07 EDT 2022

% Result   : Theorem 7.82s 2.38s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   26 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,negated_conjecture,
    ~ subset(cartesian_product2(esk3_0,esk5_0),cartesian_product2(esk4_0,esk6_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0i5by070/input.p',i_0_6) ).

cnf(i_0_9,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0i5by070/input.p',i_0_9) ).

cnf(i_0_5,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0i5by070/input.p',i_0_5) ).

cnf(i_0_8,negated_conjecture,
    subset(esk3_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0i5by070/input.p',i_0_8) ).

cnf(i_0_4,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))
    | ~ subset(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0i5by070/input.p',i_0_4) ).

cnf(i_0_7,negated_conjecture,
    subset(esk5_0,esk6_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0i5by070/input.p',i_0_7) ).

cnf(c_0_16,negated_conjecture,
    ~ subset(cartesian_product2(esk3_0,esk5_0),cartesian_product2(esk4_0,esk6_0)),
    i_0_6 ).

cnf(c_0_17,plain,
    ( subset(X1,X2)
    | ~ subset(X3,X2)
    | ~ subset(X1,X3) ),
    i_0_9 ).

cnf(c_0_18,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))
    | ~ subset(X1,X3) ),
    i_0_5 ).

cnf(c_0_19,negated_conjecture,
    subset(esk3_0,esk4_0),
    i_0_8 ).

cnf(c_0_20,negated_conjecture,
    ( ~ subset(X1,cartesian_product2(esk4_0,esk6_0))
    | ~ subset(cartesian_product2(esk3_0,esk5_0),X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    subset(cartesian_product2(esk3_0,X1),cartesian_product2(esk4_0,X1)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))
    | ~ subset(X2,X3) ),
    i_0_4 ).

cnf(c_0_23,negated_conjecture,
    subset(esk5_0,esk6_0),
    i_0_7 ).

cnf(c_0_24,negated_conjecture,
    ~ subset(cartesian_product2(esk3_0,esk5_0),cartesian_product2(esk3_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    subset(cartesian_product2(X1,esk5_0),cartesian_product2(X1,esk6_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU167+3 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sun Jun 19 07:09:24 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.47  # ENIGMATIC: Selected complete mode:
% 7.82/2.38  # ENIGMATIC: Solved by autoschedule:
% 7.82/2.38  # No SInE strategy applied
% 7.82/2.38  # Trying AutoSched0 for 150 seconds
% 7.82/2.38  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02FN
% 7.82/2.38  # and selection function PSelectNonAntiRROptimalLit.
% 7.82/2.38  #
% 7.82/2.38  # Preprocessing time       : 0.014 s
% 7.82/2.38  # Presaturation interreduction done
% 7.82/2.38  
% 7.82/2.38  # Proof found!
% 7.82/2.38  # SZS status Theorem
% 7.82/2.38  # SZS output start CNFRefutation
% See solution above
% 7.82/2.38  # Training examples: 0 positive, 0 negative
% 7.82/2.38  
% 7.82/2.38  # -------------------------------------------------
% 7.82/2.38  # User time                : 0.016 s
% 7.82/2.38  # System time              : 0.005 s
% 7.82/2.38  # Total time               : 0.021 s
% 7.82/2.38  # Maximum resident set size: 7120 pages
% 7.82/2.38  
%------------------------------------------------------------------------------