%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN034-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   3 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   35 (  17   ~;  17   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A] :
      ( p(A,a)
      | p(A,f(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A] :
      ( p(A,a)
      | p(f(A),A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [A,B] :
      ( ~ p(A,B)
      | ~ p(B,A)
      | ~ p(B,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f6,plain,
    ! [B] :
      ( ! [A] :
          ( ~ p(A,B)
          | ~ p(B,A) )
      | ~ p(B,a) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ p(X0,X1)
      | ~ p(X1,X0)
      | ~ p(X1,a) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ( spl0_0
  <=> p(a,a) ),
    introduced(split_symbol_definition) ).

fof(f9,plain,
    ( p(a,a)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f8]) ).

fof(f23,plain,
    ! [X0] :
      ( p(X0,a)
      | ~ p(X0,f(X0))
      | ~ p(f(X0),a) ),
    inference(resolution,[status(thm)],[f5,f7]) ).

fof(f24,plain,
    ! [X0] :
      ( p(X0,a)
      | ~ p(f(X0),a) ),
    inference(forward_subsumption_resolution,[status(thm)],[f23,f4]) ).

fof(f25,plain,
    ( p(a,a)
    | p(a,a) ),
    inference(resolution,[status(thm)],[f24,f5]) ).

fof(f26,plain,
    spl0_0,
    inference(split_clause,[status(thm)],[f25,f8]) ).

fof(f27,plain,
    ( ~ p(a,a)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(f28,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f27,f9]) ).

fof(f29,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f28]) ).

fof(f30,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f26,f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN034-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:11:18 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.016284 seconds
% 0.13/0.37  % CPU time: 0.028022 seconds
% 0.13/0.37  % Total memory used: 1.875 MB
% 0.13/0.37  % Net memory used: 1.759 MB
%------------------------------------------------------------------------------