TSTP Solution File: NUM489+3 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM489+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% 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  : 300s
% DateTime : Thu May  9 17:35:57 EDT 2024

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   12 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   1   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 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   :    2 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    xn = sdtpldt0(xp,xr),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(c9,negated_conjecture,
    xn != sdtpldt0(xp,xr),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c10,negated_conjecture,
    xn != sdtpldt0(xp,xr),
    inference(fof_simplification,[status(thm)],[c9]) ).

cnf(c11,negated_conjecture,
    xn != sdtpldt0(xp,xr),
    inference(split_conjunct,[status(thm)],[c10]) ).

cnf(symmetry,axiom,
    ( X101 != X100
    | X100 = X101 ),
    theory(equality) ).

fof(m__1883,plain,
    ( aNaturalNumber0(xr)
    & sdtpldt0(xp,xr) = xn
    & xr = sdtmndt0(xn,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).

cnf(c19,plain,
    sdtpldt0(xp,xr) = xn,
    inference(split_conjunct,[status(thm)],[m__1883]) ).

cnf(c387,plain,
    xn = sdtpldt0(xp,xr),
    inference(resolution,[status(thm)],[c19,symmetry]) ).

cnf(c421,plain,
    $false,
    inference(resolution,[status(thm)],[c387,c11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM489+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed May  8 16:57:53 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.56/0.73  % Version:  1.5
% 0.56/0.73  % SZS status Theorem
% 0.56/0.73  % SZS output start CNFRefutation
% See solution above
% 0.56/0.73  
% 0.56/0.73  % Initial clauses    : 230
% 0.56/0.73  % Processed clauses  : 46
% 0.56/0.73  % Factors computed   : 5
% 0.56/0.73  % Resolvents computed: 77
% 0.56/0.73  % Tautologies deleted: 4
% 0.56/0.73  % Forward subsumed   : 2
% 0.56/0.73  % Backward subsumed  : 0
% 0.56/0.73  % -------- CPU Time ---------
% 0.56/0.73  % User time          : 0.366 s
% 0.56/0.73  % System time        : 0.020 s
% 0.56/0.73  % Total time         : 0.386 s
%------------------------------------------------------------------------------