TSTP Solution File: SET926+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET926+1 : 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 00:15:19 EDT 2022

% Result   : Theorem 4.58s 2.24s
% Output   : CNFRefutation 4.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   6 unt;   2 nHn;   8 RR)
%            Number of literals    :   14 (   8 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 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   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,negated_conjecture,
    set_difference(singleton(esk3_0),esk4_0) != singleton(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9bde7x7/input.p',i_0_9) ).

cnf(i_0_3,plain,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9bde7x7/input.p',i_0_3) ).

cnf(i_0_10,negated_conjecture,
    set_difference(singleton(esk3_0),esk4_0) != empty_set,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9bde7x7/input.p',i_0_10) ).

cnf(i_0_5,plain,
    ( set_difference(singleton(X1),X2) = empty_set
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v9bde7x7/input.p',i_0_5) ).

cnf(c_0_15,negated_conjecture,
    set_difference(singleton(esk3_0),esk4_0) != singleton(esk3_0),
    i_0_9 ).

cnf(c_0_16,plain,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    i_0_3 ).

cnf(c_0_17,negated_conjecture,
    set_difference(singleton(esk3_0),esk4_0) != empty_set,
    i_0_10 ).

cnf(c_0_18,plain,
    ( set_difference(singleton(X1),X2) = empty_set
    | ~ in(X1,X2) ),
    i_0_5 ).

cnf(c_0_19,negated_conjecture,
    in(esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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 : Sun Jul 10 09:49:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 4.58/2.24  # ENIGMATIC: Solved by autoschedule:
% 4.58/2.24  # No SInE strategy applied
% 4.58/2.24  # Trying AutoSched0 for 150 seconds
% 4.58/2.24  # AutoSched0-Mode selected heuristic G_____0010_evo
% 4.58/2.24  # and selection function SelectMaxLComplexAvoidPosPred.
% 4.58/2.24  #
% 4.58/2.24  # Preprocessing time       : 0.023 s
% 4.58/2.24  
% 4.58/2.24  # Proof found!
% 4.58/2.24  # SZS status Theorem
% 4.58/2.24  # SZS output start CNFRefutation
% See solution above
% 4.58/2.24  # Training examples: 0 positive, 0 negative
% 4.58/2.24  
% 4.58/2.24  # -------------------------------------------------
% 4.58/2.24  # User time                : 0.022 s
% 4.58/2.24  # System time              : 0.008 s
% 4.58/2.24  # Total time               : 0.030 s
% 4.58/2.24  # Maximum resident set size: 7116 pages
% 4.58/2.24  
%------------------------------------------------------------------------------