%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 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 00:15:39 EDT 2022

% Result   : Theorem 4.34s 2.10s
% Output   : CNFRefutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   4 unt;   2 nHn;   6 RR)
%            Number of literals    :   20 (   4 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,negated_conjecture,
    ( ~ disjoint(cartesian_product2(esk5_0,singleton(esk3_0)),cartesian_product2(esk6_0,singleton(esk4_0)))
    | ~ disjoint(cartesian_product2(singleton(esk3_0),esk5_0),cartesian_product2(singleton(esk4_0),esk6_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j9gzalz_/input.p',i_0_6) ).

cnf(i_0_5,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j9gzalz_/input.p',i_0_5) ).

cnf(i_0_4,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j9gzalz_/input.p',i_0_4) ).

cnf(i_0_8,plain,
    ( X1 = X2
    | disjoint(singleton(X1),singleton(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j9gzalz_/input.p',i_0_8) ).

cnf(i_0_7,negated_conjecture,
    esk3_0 != esk4_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j9gzalz_/input.p',i_0_7) ).

cnf(c_0_14,negated_conjecture,
    ( ~ disjoint(cartesian_product2(esk5_0,singleton(esk3_0)),cartesian_product2(esk6_0,singleton(esk4_0)))
    | ~ disjoint(cartesian_product2(singleton(esk3_0),esk5_0),cartesian_product2(singleton(esk4_0),esk6_0)) ),
    i_0_6 ).

cnf(c_0_15,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X1,X3) ),
    i_0_5 ).

cnf(c_0_16,plain,
    ( disjoint(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ disjoint(X2,X4) ),
    i_0_4 ).

cnf(c_0_17,plain,
    ~ disjoint(singleton(esk3_0),singleton(esk4_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_18,plain,
    ( X1 = X2
    | disjoint(singleton(X1),singleton(X2)) ),
    i_0_8 ).

cnf(c_0_19,negated_conjecture,
    esk3_0 != esk4_0,
    i_0_7 ).

cnf(c_0_20,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET978+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % 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 : Sat Jul  9 15:45:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 4.34/2.10  # ENIGMATIC: Solved by autoschedule:
% 4.34/2.10  # No SInE strategy applied
% 4.34/2.10  # Trying AutoSched0 for 150 seconds
% 4.34/2.10  # AutoSched0-Mode selected heuristic G_____0010_evo
% 4.34/2.10  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.34/2.10  #
% 4.34/2.10  # Preprocessing time       : 0.023 s
% 4.34/2.10  
% 4.34/2.10  # Proof found!
% 4.34/2.10  # SZS status Theorem
% 4.34/2.10  # SZS output start CNFRefutation
% See solution above
% 4.34/2.10  # Training examples: 0 positive, 0 negative
% 4.34/2.10  
% 4.34/2.10  # -------------------------------------------------
% 4.34/2.10  # User time                : 0.024 s
% 4.34/2.10  # System time              : 0.005 s
% 4.34/2.10  # Total time               : 0.029 s
% 4.34/2.10  # Maximum resident set size: 7120 pages
% 4.34/2.10  
%------------------------------------------------------------------------------