TSTP Solution File: SYN055+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:51:09 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (   9   ~;   5   |;   4   &)
%                                         (   0 <=>;   2  =>;   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   :    8 (   7   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X] : big_p(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] :
      ( big_f(X)
     => ( ~ big_g(X)
        & big_r(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( big_p(X)
     => ( big_g(X)
        & big_f(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    big_p(sk0_0),
    inference(skolemization,[status(esa)],[f1]) ).

fof(f8,plain,
    big_p(sk0_0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f9,plain,
    ! [X] :
      ( ~ big_f(X)
      | ( ~ big_g(X)
        & big_r(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ big_f(X0)
      | ~ big_g(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f12,plain,
    ! [X] :
      ( ~ big_p(X)
      | ( big_g(X)
        & big_f(X) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_g(X0) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | big_f(X0) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f32,plain,
    big_g(sk0_0),
    inference(resolution,[status(thm)],[f13,f8]) ).

fof(f33,plain,
    big_f(sk0_0),
    inference(resolution,[status(thm)],[f14,f8]) ).

fof(f34,plain,
    ~ big_f(sk0_0),
    inference(resolution,[status(thm)],[f32,f10]) ).

fof(f36,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f34,f33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:00:02 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % 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
% 0.13/0.37  % Elapsed time: 0.015846 seconds
% 0.13/0.37  % CPU time: 0.027471 seconds
% 0.13/0.37  % Total memory used: 1.901 MB
% 0.13/0.37  % Net memory used: 1.747 MB
%------------------------------------------------------------------------------