%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 00:13:01 EDT 2022

% Result   : Theorem 8.37s 2.38s
% Output   : CNFRefutation 8.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   6 unt;   0 nHn;  19 RR)
%            Number of literals    :   35 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( intersect(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_4) ).

cnf(i_0_6,plain,
    ( member(esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_6) ).

cnf(i_0_3,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_3) ).

cnf(i_0_5,plain,
    ( member(esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_5) ).

cnf(i_0_9,negated_conjecture,
    intersect(esk2_0,difference(esk3_0,esk4_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_9) ).

cnf(i_0_7,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ~ intersect(esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rio9z2k_/input.p',i_0_8) ).

cnf(c_0_17,plain,
    ( intersect(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X3,X1) ),
    i_0_4 ).

cnf(c_0_18,plain,
    ( member(esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    i_0_6 ).

cnf(c_0_19,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    i_0_3 ).

cnf(c_0_20,plain,
    ( member(esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    i_0_5 ).

cnf(c_0_21,plain,
    ( intersect(X1,X2)
    | ~ member(esk1_2(X2,X3),X1)
    | ~ intersect(X2,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    ( member(esk1_2(X1,difference(X2,X3)),X2)
    | ~ intersect(X1,difference(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,difference(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    intersect(esk2_0,difference(esk3_0,esk4_0)),
    i_0_9 ).

cnf(c_0_25,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,X1) ),
    i_0_7 ).

cnf(c_0_26,negated_conjecture,
    intersect(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    ~ intersect(esk2_0,esk3_0),
    i_0_8 ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET631+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n023.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 00:16:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 8.37/2.38  # ENIGMATIC: Solved by autoschedule:
% 8.37/2.38  # No SInE strategy applied
% 8.37/2.38  # Trying AutoSched0 for 150 seconds
% 8.37/2.38  # AutoSched0-Mode selected heuristic G_E___041_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 8.37/2.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.37/2.38  #
% 8.37/2.38  # Preprocessing time       : 0.023 s
% 8.37/2.38  
% 8.37/2.38  # Proof found!
% 8.37/2.38  # SZS status Theorem
% 8.37/2.38  # SZS output start CNFRefutation
% See solution above
% 8.37/2.38  # Training examples: 0 positive, 0 negative
% 8.37/2.38  
% 8.37/2.38  # -------------------------------------------------
% 8.37/2.38  # User time                : 0.025 s
% 8.37/2.38  # System time              : 0.007 s
% 8.37/2.38  # Total time               : 0.032 s
% 8.37/2.38  # Maximum resident set size: 7124 pages
% 8.37/2.38  
%------------------------------------------------------------------------------