%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 00:14:59 EDT 2022

% Result   : Theorem 7.79s 2.36s
% Output   : CNFRefutation 7.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   6 unt;   0 nHn;  11 RR)
%            Number of literals    :   18 (  11 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2j4id5sl/input.p',i_0_5) ).

cnf(i_0_8,plain,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) != empty_set ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2j4id5sl/input.p',i_0_8) ).

cnf(i_0_12,negated_conjecture,
    set_difference(singleton(esk4_0),singleton(esk5_0)) = empty_set,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2j4id5sl/input.p',i_0_12) ).

cnf(i_0_11,negated_conjecture,
    esk5_0 != esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2j4id5sl/input.p',i_0_11) ).

cnf(c_0_17,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    i_0_5 ).

cnf(c_0_18,plain,
    ( in(X1,X2)
    | set_difference(singleton(X1),X2) != empty_set ),
    i_0_8 ).

cnf(c_0_19,negated_conjecture,
    set_difference(singleton(esk4_0),singleton(esk5_0)) = empty_set,
    i_0_12 ).

cnf(c_0_20,plain,
    ( X1 = X2
    | ~ in(X1,singleton(X2)) ),
    inference(er,[status(thm)],[c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    in(esk4_0,singleton(esk5_0)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    esk5_0 != esk4_0,
    i_0_11 ).

cnf(c_0_23,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.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 03:59:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.79/2.36  # ENIGMATIC: Solved by autoschedule:
% 7.79/2.36  # No SInE strategy applied
% 7.79/2.36  # Trying AutoSched0 for 150 seconds
% 7.79/2.36  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0Y_ni
% 7.79/2.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.79/2.36  #
% 7.79/2.36  # Preprocessing time       : 0.023 s
% 7.79/2.36  # Presaturation interreduction done
% 7.79/2.36  
% 7.79/2.36  # Proof found!
% 7.79/2.36  # SZS status Theorem
% 7.79/2.36  # SZS output start CNFRefutation
% See solution above
% 7.79/2.36  # Training examples: 0 positive, 0 negative
% 7.79/2.36  
% 7.79/2.36  # -------------------------------------------------
% 7.79/2.36  # User time                : 0.027 s
% 7.79/2.36  # System time              : 0.003 s
% 7.79/2.36  # Total time               : 0.029 s
% 7.79/2.36  # Maximum resident set size: 7120 pages
% 7.79/2.36  
%------------------------------------------------------------------------------