TSTP Solution File: SEU173+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:39:11 EDT 2022

% Result   : Theorem 8.97s 2.36s
% Output   : CNFRefutation 8.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (   5 unt;   5 nHn;  17 RR)
%            Number of literals    :   39 (   2 equ;  20 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
    ( empty(X1)
    | element(X2,X1)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_21) ).

cnf(i_0_181,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_181) ).

cnf(i_0_110,negated_conjecture,
    ~ element(esk18_0,powerset(esk19_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_110) ).

cnf(i_0_17,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_17) ).

cnf(i_0_111,negated_conjecture,
    ( in(X1,esk19_0)
    | ~ in(X1,esk18_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_111) ).

cnf(i_0_44,plain,
    ( subset(X1,X2)
    | in(esk11_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_44) ).

cnf(i_0_43,plain,
    ( subset(X1,X2)
    | ~ in(esk11_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z2eh12hg/input.p',i_0_43) ).

cnf(c_0_189,plain,
    ( empty(X1)
    | element(X2,X1)
    | ~ in(X2,X1) ),
    i_0_21 ).

cnf(c_0_190,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    i_0_181 ).

cnf(c_0_191,negated_conjecture,
    ~ element(esk18_0,powerset(esk19_0)),
    i_0_110 ).

cnf(c_0_192,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(csr,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_193,plain,
    ( in(X1,X2)
    | X2 != powerset(X3)
    | ~ subset(X1,X3) ),
    i_0_17 ).

cnf(c_0_194,negated_conjecture,
    ( in(X1,esk19_0)
    | ~ in(X1,esk18_0) ),
    i_0_111 ).

cnf(c_0_195,plain,
    ( subset(X1,X2)
    | in(esk11_2(X1,X2),X1) ),
    i_0_44 ).

cnf(c_0_196,negated_conjecture,
    ~ in(esk18_0,powerset(esk19_0)),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_197,plain,
    ( in(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(er,[status(thm)],[c_0_193]) ).

cnf(c_0_198,plain,
    ( subset(X1,X2)
    | ~ in(esk11_2(X1,X2),X2) ),
    i_0_43 ).

cnf(c_0_199,negated_conjecture,
    ( in(esk11_2(esk18_0,X1),esk19_0)
    | subset(esk18_0,X1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_200,negated_conjecture,
    ~ subset(esk18_0,esk19_0),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_201,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 22:49:16 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.46  # ENIGMATIC: Selected complete mode:
% 8.97/2.36  # ENIGMATIC: Solved by autoschedule:
% 8.97/2.36  # No SInE strategy applied
% 8.97/2.36  # Trying AutoSched0 for 150 seconds
% 8.97/2.36  # AutoSched0-Mode selected heuristic G_E___200_C45_F1_SE_CS_SP_PI_CO_S5PRR_S0V
% 8.97/2.36  # and selection function PSelectComplexExceptRRHorn.
% 8.97/2.36  #
% 8.97/2.36  # Preprocessing time       : 0.027 s
% 8.97/2.36  
% 8.97/2.36  # Proof found!
% 8.97/2.36  # SZS status Theorem
% 8.97/2.36  # SZS output start CNFRefutation
% See solution above
% 8.97/2.36  # Training examples: 0 positive, 0 negative
% 8.97/2.36  
% 8.97/2.36  # -------------------------------------------------
% 8.97/2.36  # User time                : 0.122 s
% 8.97/2.36  # System time              : 0.009 s
% 8.97/2.36  # Total time               : 0.131 s
% 8.97/2.36  # Maximum resident set size: 7120 pages
% 8.97/2.36  
%------------------------------------------------------------------------------