TSTP Solution File: SET879+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 00:14:58 EDT 2022

% Result   : Theorem 7.45s 2.42s
% Output   : CNFRefutation 7.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (   3 unt;   3 nHn;  15 RR)
%            Number of literals    :   37 (  24 equ;  19 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qct2je9p/input.p',i_0_5) ).

cnf(i_0_11,negated_conjecture,
    ( esk4_0 = esk5_0
    | set_difference(singleton(esk4_0),singleton(esk5_0)) != singleton(esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qct2je9p/input.p',i_0_11) ).

cnf(i_0_6,plain,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qct2je9p/input.p',i_0_6) ).

cnf(i_0_7,plain,
    ( set_difference(singleton(X1),X2) != singleton(X1)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qct2je9p/input.p',i_0_7) ).

cnf(i_0_10,negated_conjecture,
    ( set_difference(singleton(esk4_0),singleton(esk5_0)) = singleton(esk4_0)
    | esk4_0 != esk5_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qct2je9p/input.p',i_0_10) ).

cnf(i_0_4,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != singleton(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qct2je9p/input.p',i_0_4) ).

cnf(c_0_18,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    i_0_5 ).

cnf(c_0_19,negated_conjecture,
    ( esk4_0 = esk5_0
    | set_difference(singleton(esk4_0),singleton(esk5_0)) != singleton(esk4_0) ),
    i_0_11 ).

cnf(c_0_20,plain,
    ( set_difference(singleton(X1),X2) = singleton(X1)
    | in(X1,X2) ),
    i_0_6 ).

cnf(c_0_21,plain,
    ( set_difference(singleton(X1),X2) != singleton(X1)
    | ~ in(X1,X2) ),
    i_0_7 ).

cnf(c_0_22,negated_conjecture,
    ( set_difference(singleton(esk4_0),singleton(esk5_0)) = singleton(esk4_0)
    | esk4_0 != esk5_0 ),
    i_0_10 ).

cnf(c_0_23,plain,
    ( X1 = X2
    | ~ in(X1,singleton(X2)) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    ( esk5_0 = esk4_0
    | in(esk4_0,singleton(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != singleton(X3) ),
    i_0_4 ).

cnf(c_0_26,negated_conjecture,
    ( esk5_0 != esk4_0
    | ~ in(esk4_0,singleton(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,plain,
    esk5_0 = esk4_0,
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    in(X1,singleton(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_27]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET879+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n016.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 17:48:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 7.45/2.42  # ENIGMATIC: Solved by autoschedule:
% 7.45/2.42  # No SInE strategy applied
% 7.45/2.42  # Trying AutoSched0 for 150 seconds
% 7.45/2.42  # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.45/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.45/2.42  #
% 7.45/2.42  # Preprocessing time       : 0.019 s
% 7.45/2.42  
% 7.45/2.42  # Proof found!
% 7.45/2.42  # SZS status Theorem
% 7.45/2.42  # SZS output start CNFRefutation
% See solution above
% 7.45/2.42  # Training examples: 0 positive, 0 negative
% 7.45/2.42  
% 7.45/2.42  # -------------------------------------------------
% 7.45/2.42  # User time                : 0.019 s
% 7.45/2.42  # System time              : 0.006 s
% 7.45/2.42  # Total time               : 0.025 s
% 7.45/2.42  # Maximum resident set size: 7116 pages
% 7.45/2.42  
%------------------------------------------------------------------------------