↑ Up

PyRes---1.5.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% 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  : 300s
% DateTime : Thu May  9 17:47:12 EDT 2024

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   41 (  18   ~;  11   |;   9   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel25_1,axiom,
    ? [X] : big_p(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel25_1) ).

fof(c22,plain,
    ? [X7] : big_p(X7),
    inference(variable_rename,[status(thm)],[pel25_1]) ).

fof(c23,plain,
    big_p(skolem0002),
    inference(skolemize,[status(esa)],[c22]) ).

cnf(c24,plain,
    big_p(skolem0002),
    inference(split_conjunct,[status(thm)],[c23]) ).

fof(pel25_3,axiom,
    ! [X] :
      ( big_p(X)
     => ( big_g(X)
        & big_f(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel25_3) ).

fof(c11,plain,
    ! [X] :
      ( ~ big_p(X)
      | ( big_g(X)
        & big_f(X) ) ),
    inference(fof_nnf,[status(thm)],[pel25_3]) ).

fof(c12,plain,
    ! [X5] :
      ( ~ big_p(X5)
      | ( big_g(X5)
        & big_f(X5) ) ),
    inference(variable_rename,[status(thm)],[c11]) ).

fof(c13,plain,
    ! [X5] :
      ( ( ~ big_p(X5)
        | big_g(X5) )
      & ( ~ big_p(X5)
        | big_f(X5) ) ),
    inference(distribute,[status(thm)],[c12]) ).

cnf(c15,plain,
    ( ~ big_p(X11)
    | big_f(X11) ),
    inference(split_conjunct,[status(thm)],[c13]) ).

cnf(c28,plain,
    big_f(skolem0002),
    inference(resolution,[status(thm)],[c15,c24]) ).

cnf(c14,plain,
    ( ~ big_p(X9)
    | big_g(X9) ),
    inference(split_conjunct,[status(thm)],[c13]) ).

cnf(c26,plain,
    big_g(skolem0002),
    inference(resolution,[status(thm)],[c14,c24]) ).

fof(pel25_2,axiom,
    ! [X] :
      ( big_f(X)
     => ( ~ big_g(X)
        & big_r(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel25_2) ).

fof(c16,plain,
    ! [X] :
      ( big_f(X)
     => ( ~ big_g(X)
        & big_r(X) ) ),
    inference(fof_simplification,[status(thm)],[pel25_2]) ).

fof(c17,plain,
    ! [X] :
      ( ~ big_f(X)
      | ( ~ big_g(X)
        & big_r(X) ) ),
    inference(fof_nnf,[status(thm)],[c16]) ).

fof(c18,plain,
    ! [X6] :
      ( ~ big_f(X6)
      | ( ~ big_g(X6)
        & big_r(X6) ) ),
    inference(variable_rename,[status(thm)],[c17]) ).

fof(c19,plain,
    ! [X6] :
      ( ( ~ big_f(X6)
        | ~ big_g(X6) )
      & ( ~ big_f(X6)
        | big_r(X6) ) ),
    inference(distribute,[status(thm)],[c18]) ).

cnf(c20,plain,
    ( ~ big_f(X12)
    | ~ big_g(X12) ),
    inference(split_conjunct,[status(thm)],[c19]) ).

cnf(c29,plain,
    ~ big_f(skolem0002),
    inference(resolution,[status(thm)],[c20,c26]) ).

cnf(c30,plain,
    $false,
    inference(resolution,[status(thm)],[c29,c28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n007.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  : 300
% 0.13/0.34  % DateTime : Wed May  8 20:23:38 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.52  % Version:  1.5
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  % SZS output start CNFRefutation
% See solution above
% 0.20/0.52  
% 0.20/0.52  % Initial clauses    : 8
% 0.20/0.52  % Processed clauses  : 10
% 0.20/0.52  % Factors computed   : 0
% 0.20/0.52  % Resolvents computed: 6
% 0.20/0.52  % Tautologies deleted: 0
% 0.20/0.52  % Forward subsumed   : 0
% 0.20/0.52  % Backward subsumed  : 0
% 0.20/0.52  % -------- CPU Time ---------
% 0.20/0.52  % User time          : 0.163 s
% 0.20/0.52  % System time        : 0.014 s
% 0.20/0.52  % Total time         : 0.177 s
%------------------------------------------------------------------------------