TSTP Solution File: NUM558+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 : Mon Jul 18 08:37:20 EDT 2022

% Result   : Theorem 7.22s 2.22s
% Output   : CNFRefutation 7.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  12 unt;   0 nHn;  22 RR)
%            Number of literals    :   38 (   2 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_125,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_125) ).

cnf(i_0_166,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_166) ).

cnf(i_0_156,hypothesis,
    ( aElementOf0(X1,xP)
    | X1 != xx
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_156) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_3) ).

cnf(i_0_142,hypothesis,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_142) ).

cnf(i_0_114,hypothesis,
    aSet0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_114) ).

cnf(i_0_131,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,X2)
    | ~ aElementOf0(X2,slbdtsldtrb0(xT,xk)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_131) ).

cnf(i_0_170,negated_conjecture,
    ~ aElementOf0(xx,xT),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3ee0zxet/lgb.p',i_0_170) ).

cnf(c_0_179,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ),
    i_0_125 ).

cnf(c_0_180,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    i_0_166 ).

cnf(c_0_181,hypothesis,
    ( aElementOf0(X1,xP)
    | X1 != xx
    | ~ aElement0(X1) ),
    i_0_156 ).

cnf(c_0_182,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_183,hypothesis,
    aElementOf0(xx,xS),
    i_0_142 ).

cnf(c_0_184,hypothesis,
    aSet0(xS),
    i_0_114 ).

cnf(c_0_185,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,X2)
    | ~ aElementOf0(X2,slbdtsldtrb0(xT,xk)) ),
    i_0_131 ).

cnf(c_0_186,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xT,xk)),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_187,hypothesis,
    ( aElementOf0(xx,xP)
    | ~ aElement0(xx) ),
    inference(er,[status(thm)],[c_0_181]) ).

cnf(c_0_188,hypothesis,
    aElement0(xx),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184])]) ).

cnf(c_0_189,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,xP) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_190,hypothesis,
    aElementOf0(xx,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]) ).

cnf(c_0_191,negated_conjecture,
    ~ aElementOf0(xx,xT),
    i_0_170 ).

cnf(c_0_192,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Fri Jul  8 01:11:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.22/2.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.22/2.22  # No SInE strategy applied
% 7.22/2.22  # Trying AutoSched0 for 150 seconds
% 7.22/2.22  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.22/2.22  # and selection function SelectNewComplexAHP.
% 7.22/2.22  #
% 7.22/2.22  # Preprocessing time       : 0.025 s
% 7.22/2.22  # Presaturation interreduction done
% 7.22/2.22  
% 7.22/2.22  # Proof found!
% 7.22/2.22  # SZS status Theorem
% 7.22/2.22  # SZS output start CNFRefutation
% See solution above
% 7.22/2.22  # Training examples: 0 positive, 0 negative
% 7.22/2.22  
% 7.22/2.22  # -------------------------------------------------
% 7.22/2.22  # User time                : 0.040 s
% 7.22/2.22  # System time              : 0.009 s
% 7.22/2.22  # Total time               : 0.049 s
% 7.22/2.22  # Maximum resident set size: 7124 pages
% 7.22/2.22  
%------------------------------------------------------------------------------