TSTP Solution File: SYN035-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN035-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:51:03 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  19   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : p(A,B),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] :
      ( ~ p(f(A,B),f(A,B))
      | ~ p(B,f(A,B))
      | q(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [A,B] :
      ( ~ q(f(A,B),f(A,B))
      | ~ q(A,f(A,B))
      | ~ p(f(A,B),f(A,B))
      | ~ p(B,f(A,B)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1] : p(X0,X1),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ p(f(X0,X1),f(X0,X1))
      | ~ p(X1,f(X0,X1))
      | q(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ q(f(X0,X1),f(X0,X1))
      | ~ q(X0,f(X0,X1))
      | ~ p(f(X0,X1),f(X0,X1))
      | ~ p(X1,f(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ q(f(X0,X1),f(X0,X1))
      | ~ q(X0,f(X0,X1))
      | ~ p(X1,f(X0,X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f6,f4]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ q(f(X0,X1),f(X0,X1))
      | ~ q(X0,f(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f7,f4]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ p(X0,f(X1,X0))
      | q(X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5,f4]) ).

fof(f10,plain,
    ! [X0,X1] : q(X0,X1),
    inference(resolution,[status(thm)],[f9,f4]) ).

fof(f11,plain,
    ! [X0,X1] : ~ q(X0,f(X0,X1)),
    inference(backward_subsumption_resolution,[status(thm)],[f8,f10]) ).

fof(f12,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f11,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN035-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:26:02 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.017289 seconds
% 0.14/0.38  % CPU time: 0.019933 seconds
% 0.14/0.38  % Total memory used: 4.564 MB
% 0.14/0.38  % Net memory used: 4.423 MB
%------------------------------------------------------------------------------