TSTP Solution File: SYN383+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN383+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   6   ~;   2   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    9 (   6   !;   3   ?)

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

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

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

fof(f4,plain,
    ! [X] :
      ( big_p(X)
      & big_q(sk0_0(X))
      & ~ big_q(X)
      & ~ big_p(sk0_0(X)) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f6,plain,
    ! [X0] : big_q(sk0_0(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0] : ~ big_q(X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN383+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n029.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 : Mon Apr 29 22:13:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37  % Elapsed time: 0.015463 seconds
% 0.20/0.37  % CPU time: 0.025634 seconds
% 0.20/0.37  % Total memory used: 1.875 MB
% 0.20/0.37  % Net memory used: 1.686 MB
%------------------------------------------------------------------------------