TSTP Solution File: SYN724-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 12:47:29 EDT 2023

% Result   : Unsatisfiable 0.08s 0.27s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (   1 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   66 (  30   ~;  32   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [A] :
      ( s(A)
      | ~ r(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( r(sk1)
    | r(sk2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( r(sk1)
    | ~ r(sk2)
    | ~ s(sk2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ( r(sk2)
    | ~ s(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ( ~ r(sk2)
    | ~ s(sk1)
    | ~ s(sk2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] :
      ( s(X0)
      | ~ r(X0) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ( r(sk1)
    | r(sk2) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ( r(sk1)
    | ~ r(sk2)
    | ~ s(sk2) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ( r(sk2)
    | ~ s(sk1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ( ~ r(sk2)
    | ~ s(sk1)
    | ~ s(sk2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ( spl0_0
  <=> r(sk1) ),
    introduced(split_symbol_definition) ).

fof(f12,plain,
    ( r(sk1)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f11]) ).

fof(f14,plain,
    ( spl0_1
  <=> r(sk2) ),
    introduced(split_symbol_definition) ).

fof(f15,plain,
    ( r(sk2)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f14]) ).

fof(f17,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f7,f11,f14]) ).

fof(f18,plain,
    ( spl0_2
  <=> s(sk2) ),
    introduced(split_symbol_definition) ).

fof(f20,plain,
    ( ~ s(sk2)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f18]) ).

fof(f21,plain,
    ( spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f8,f11,f14,f18]) ).

fof(f22,plain,
    ( spl0_3
  <=> s(sk1) ),
    introduced(split_symbol_definition) ).

fof(f24,plain,
    ( ~ s(sk1)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f22]) ).

fof(f25,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f9,f14,f22]) ).

fof(f26,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f10,f14,f22,f18]) ).

fof(f27,plain,
    ( s(sk1)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f12,f6]) ).

fof(f28,plain,
    ( $false
    | spl0_3
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f27,f24]) ).

fof(f29,plain,
    ( spl0_3
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f28]) ).

fof(f30,plain,
    ( s(sk2)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f15,f6]) ).

fof(f31,plain,
    ( $false
    | spl0_2
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f30,f20]) ).

fof(f32,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f31]) ).

fof(f33,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f17,f21,f25,f26,f29,f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26  % Computer : n019.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit : 300
% 0.08/0.26  % WCLimit  : 300
% 0.08/0.26  % DateTime : Tue May 30 10:25:25 EDT 2023
% 0.08/0.26  % CPUTime  : 
% 0.08/0.26  % Drodi V3.5.1
% 0.08/0.27  % Refutation found
% 0.08/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.28  % Elapsed time: 0.010852 seconds
% 0.08/0.28  % CPU time: 0.018104 seconds
% 0.08/0.28  % Memory used: 1.809 MB
%------------------------------------------------------------------------------