%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET873+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 00:14:56 EDT 2022

% Result   : Theorem 6.92s 2.23s
% Output   : CNFRefutation 6.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   24 (  12 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
    ( in(X1,X2)
    | ~ subset(set_union2(singleton(X1),X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/lgb.p',i_0_10) ).

cnf(i_0_2,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/lgb.p',i_0_2) ).

cnf(i_0_15,negated_conjecture,
    set_union2(singleton(esk4_0),singleton(esk5_0)) = singleton(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/lgb.p',i_0_15) ).

cnf(i_0_13,plain,
    subset(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/lgb.p',i_0_13) ).

cnf(i_0_6,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/lgb.p',i_0_6) ).

cnf(i_0_14,negated_conjecture,
    esk5_0 != esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/lgb.p',i_0_14) ).

cnf(c_0_22,plain,
    ( in(X1,X2)
    | ~ subset(set_union2(singleton(X1),X2),X2) ),
    i_0_10 ).

cnf(c_0_23,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    i_0_2 ).

cnf(c_0_24,plain,
    ( in(X1,X2)
    | ~ subset(set_union2(X2,singleton(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,negated_conjecture,
    set_union2(singleton(esk4_0),singleton(esk5_0)) = singleton(esk4_0),
    i_0_15 ).

cnf(c_0_26,plain,
    subset(X1,X1),
    i_0_13 ).

cnf(c_0_27,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    i_0_6 ).

cnf(c_0_28,negated_conjecture,
    in(esk5_0,singleton(esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_29,plain,
    ( esk5_0 = X1
    | singleton(esk4_0) != singleton(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    esk5_0 != esk4_0,
    i_0_14 ).

cnf(c_0_31,plain,
    $false,
    inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET873+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 20:09:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 6.92/2.23  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.92/2.23  # No SInE strategy applied
% 6.92/2.23  # Trying AutoSched0 for 150 seconds
% 6.92/2.23  # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 6.92/2.23  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.92/2.23  #
% 6.92/2.23  # Preprocessing time       : 0.023 s
% 6.92/2.23  
% 6.92/2.23  # Proof found!
% 6.92/2.23  # SZS status Theorem
% 6.92/2.23  # SZS output start CNFRefutation
% See solution above
% 6.92/2.23  # Training examples: 0 positive, 0 negative
% 6.92/2.23  
% 6.92/2.23  # -------------------------------------------------
% 6.92/2.23  # User time                : 0.023 s
% 6.92/2.23  # System time              : 0.006 s
% 6.92/2.23  # Total time               : 0.029 s
% 6.92/2.23  # Maximum resident set size: 7124 pages
% 6.92/2.23  
% 6.92/2.24  eprover: Cannot stat file /export/starexec/sandbox/tmp/enigma-theBenchmark.p-e0nvkmxz/input.p
% 6.92/2.24  eprover: No such file or directory
%------------------------------------------------------------------------------