TSTP Solution File: SYN050-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:51:07 EDT 2024

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [Y,Z] :
      ( ~ big_p(Y)
      | ~ big_q(Z)
      | big_r(f(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    big_p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    big_q(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [W] : ~ big_r(W),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ big_p(X0)
      | ~ big_q(X1)
      | big_r(f(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    big_p(a),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f10,plain,
    big_q(b),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0] : ~ big_r(X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ big_p(X0)
      | ~ big_q(X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6,f11]) ).

fof(f23,plain,
    ! [X0] : ~ big_p(X0),
    inference(resolution,[status(thm)],[f22,f10]) ).

fof(f24,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f9,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 22:08:10 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.36  % Elapsed time: 0.015955 seconds
% 0.20/0.36  % CPU time: 0.016197 seconds
% 0.20/0.36  % Total memory used: 3.651 MB
% 0.20/0.36  % Net memory used: 3.544 MB
%------------------------------------------------------------------------------