%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN009-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:51:01 EDT 2024

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   73 (  36   ~;  34   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ p(X,Y,Z)
      | ~ t(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ q(X,Y,Z)
      | ~ t(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ r(X,Y,Z)
      | ~ t(Z,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    s(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    t(c,c,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [X,Y,Z] :
      ( ~ s(X)
      | ~ s(Y)
      | ~ s(Z)
      | p(X,Y,Z)
      | q(Y,Z,X)
      | r(Z,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ~ p(X0,X1,X2)
      | ~ t(X0,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ q(X0,X1,X2)
      | ~ t(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( ~ r(X0,X1,X2)
      | ~ t(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,plain,
    s(c),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    t(c,c,c),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ~ s(X0)
      | ~ s(X1)
      | ~ s(X2)
      | p(X0,X1,X2)
      | q(X1,X2,X0)
      | r(X2,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f17,plain,
    ~ p(c,c,c),
    inference(resolution,[status(thm)],[f15,f9]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ~ s(X0)
      | ~ s(X1)
      | ~ s(X2)
      | p(X0,X1,X2)
      | r(X2,X0,X1)
      | ~ t(X2,X0,X1) ),
    inference(resolution,[status(thm)],[f16,f10]) ).

fof(f21,plain,
    ( spl0_0
  <=> s(c) ),
    introduced(split_symbol_definition) ).

fof(f23,plain,
    ( ~ s(c)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f21]) ).

fof(f24,plain,
    ( spl0_1
  <=> p(c,c,c) ),
    introduced(split_symbol_definition) ).

fof(f25,plain,
    ( p(c,c,c)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f24]) ).

fof(f27,plain,
    ( spl0_2
  <=> r(c,c,c) ),
    introduced(split_symbol_definition) ).

fof(f28,plain,
    ( r(c,c,c)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f27]) ).

fof(f30,plain,
    ( ~ s(c)
    | ~ s(c)
    | ~ s(c)
    | p(c,c,c)
    | r(c,c,c) ),
    inference(resolution,[status(thm)],[f18,f15]) ).

fof(f31,plain,
    ( ~ spl0_0
    | spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f30,f21,f24,f27]) ).

fof(f32,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f23,f14]) ).

fof(f33,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f32]) ).

fof(f34,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f25,f17]) ).

fof(f35,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f34]) ).

fof(f36,plain,
    ( ~ t(c,c,c)
    | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f28,f11]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f36,f15]) ).

fof(f38,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f37]) ).

fof(f39,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f31,f33,f35,f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN009-2 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n008.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 22:01:28 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
% 0.14/0.37  % Elapsed time: 0.019482 seconds
% 0.14/0.37  % CPU time: 0.036909 seconds
% 0.14/0.37  % Total memory used: 1.910 MB
% 0.14/0.37  % Net memory used: 1.847 MB
%------------------------------------------------------------------------------