TSTP Solution File: SYN033-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN033-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 : Wed May 31 12:45:43 EDT 2023

% Result   : Unsatisfiable 0.08s 0.30s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   38 (;  38   !;   0   ?)

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

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

fof(f3,axiom,
    ! [A,B,C,D,E,F] :
      ( ~ p(A,B,C)
      | ~ p(D,E,B)
      | ~ p(A,D,F)
      | p(F,E,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [A] : ~ p(k(A),A,k(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0,X1] : p(g(X0,X1),X0,X1),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1] : p(X0,h(X0,X1),X1),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [C,E,F] :
      ( ! [A,D] :
          ( ! [B] :
              ( ~ p(A,B,C)
              | ~ p(D,E,B) )
          | ~ p(A,D,F) )
      | p(F,E,C) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ p(X0,X1,X2)
      | ~ p(X3,X4,X1)
      | ~ p(X0,X3,X5)
      | p(X5,X4,X2) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f9,plain,
    ! [X0] : ~ p(k(X0),X0,k(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ p(g(X0,X1),X2,X3)
      | ~ p(X0,X4,X2)
      | p(X1,X4,X3) ),
    inference(resolution,[status(thm)],[f5,f8]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X0)
      | p(X2,X1,X2) ),
    inference(resolution,[status(thm)],[f12,f5]) ).

fof(f17,plain,
    ! [X0,X1] : p(X0,h(X1,X1),X0),
    inference(resolution,[status(thm)],[f6,f14]) ).

fof(f21,plain,
    $false,
    inference(resolution,[status(thm)],[f17,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SYN033-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28  % Computer : n010.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Tue May 30 10:14:22 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.08/0.29  % Drodi V3.5.1
% 0.08/0.30  % Refutation found
% 0.08/0.30  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.51  % Elapsed time: 0.010007 seconds
% 0.12/0.51  % CPU time: 0.021015 seconds
% 0.12/0.51  % Memory used: 6.128 MB
%------------------------------------------------------------------------------