TSTP Solution File: SYN384+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN384+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : Tue Apr 30 20:52:04 EDT 2024

% Result   : Theorem 0.17s 0.77s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   5   ~;   0   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   23 (  15   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [Z] :
    ? [X,Y] :
    ! [U] :
      ( big_p(X,Y,Z)
     => big_p(U,X,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [Z] :
      ? [X,Y] :
      ! [U] :
        ( big_p(X,Y,Z)
       => big_p(U,X,X) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [Z] :
    ! [X,Y] :
    ? [U] :
      ( big_p(X,Y,Z)
      & ~ big_p(U,X,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ? [Z] :
      ! [X,Y] : big_p(X,Y,Z)
    & ! [X] :
      ? [U] : ~ big_p(U,X,X) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ! [X,Y] : big_p(X,Y,sk0_0)
    & ! [X] : ~ big_p(sk0_1(X),X,X) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] : big_p(X0,X1,sk0_0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f7,plain,
    ! [X0] : ~ big_p(sk0_1(X0),X0,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    $false,
    inference(resolution,[status(thm)],[f7,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.48  % Problem  : SYN384+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.49  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.17/0.76  % Computer : n024.cluster.edu
% 0.17/0.76  % Model    : x86_64 x86_64
% 0.17/0.76  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.76  % Memory   : 8042.1875MB
% 0.17/0.76  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.76  % CPULimit : 300
% 0.17/0.76  % WCLimit  : 300
% 0.17/0.76  % DateTime : Mon Apr 29 21:51:37 EDT 2024
% 0.17/0.76  % CPUTime  : 
% 0.17/0.77  % Drodi V3.6.0
% 0.17/0.77  % Refutation found
% 0.17/0.77  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.77  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.79  % Elapsed time: 0.020663 seconds
% 0.17/0.79  % CPU time: 0.031151 seconds
% 0.17/0.79  % Total memory used: 1.868 MB
% 0.17/0.79  % Net memory used: 1.678 MB
%------------------------------------------------------------------------------