TSTP Solution File: SYN927+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN927+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:53:39 EDT 2024

% Result   : Theorem 0.18s 0.69s
% Output   : CNFRefutation 0.18s
% 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 :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

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

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

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.44  % Problem  : SYN927+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.44  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.18/0.68  % Computer : n014.cluster.edu
% 0.18/0.68  % Model    : x86_64 x86_64
% 0.18/0.68  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.68  % Memory   : 8042.1875MB
% 0.18/0.68  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.68  % CPULimit : 300
% 0.18/0.68  % WCLimit  : 300
% 0.18/0.68  % DateTime : Mon Apr 29 21:45:50 EDT 2024
% 0.18/0.68  % CPUTime  : 
% 0.18/0.68  % Drodi V3.6.0
% 0.18/0.69  % Refutation found
% 0.18/0.69  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.70  % Elapsed time: 0.012140 seconds
% 0.18/0.70  % CPU time: 0.018138 seconds
% 0.18/0.70  % Total memory used: 1.599 MB
% 0.18/0.70  % Net memory used: 1.432 MB
%------------------------------------------------------------------------------