TSTP Solution File: SYN064+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN064+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 : Wed May 31 12:45:51 EDT 2023

% Result   : Theorem 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% 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 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (;  12   !;   8   ?)

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

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

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

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

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

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

fof(f7,plain,
    ~ big_p(sk0_0,sk0_1),
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN064+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 10:31:08 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.5.1
% 0.13/0.34  % Refutation found
% 0.13/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.35  % Elapsed time: 0.016003 seconds
% 0.13/0.35  % CPU time: 0.021254 seconds
% 0.13/0.35  % Memory used: 1.552 MB
%------------------------------------------------------------------------------