TSTP Solution File: SYN228-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN228-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:51:38 EDT 2024

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   41 (  22   ~;  18   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   2 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [B,C] :
      ( m1(B,C,B)
      | ~ m0(C,C,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f214,axiom,
    ! [D,E] :
      ( p2(D,E,D)
      | ~ m1(E,D,E) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f253,axiom,
    ! [G,H] :
      ( l3(G,H)
      | ~ r0(G)
      | ~ p2(G,H,G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ l3(b,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f378,plain,
    r0(b),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f400,plain,
    m0(b,b,e),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f416,plain,
    ! [X0,X1] :
      ( m1(X0,X1,X0)
      | ~ m0(X1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f43]) ).

fof(f685,plain,
    ! [X0,X1] :
      ( p2(X0,X1,X0)
      | ~ m1(X1,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f214]) ).

fof(f742,plain,
    ! [X0,X1] :
      ( l3(X0,X1)
      | ~ r0(X0)
      | ~ p2(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f253]) ).

fof(f924,plain,
    ~ l3(b,e),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1100,plain,
    ( spl0_50
  <=> r0(b) ),
    introduced(split_symbol_definition) ).

fof(f1101,plain,
    ( r0(b)
    | ~ spl0_50 ),
    inference(component_clause,[status(thm)],[f1100]) ).

fof(f1102,plain,
    ( ~ r0(b)
    | spl0_50 ),
    inference(component_clause,[status(thm)],[f1100]) ).

fof(f2013,plain,
    ( $false
    | spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1102,f378]) ).

fof(f2014,plain,
    spl0_50,
    inference(contradiction_clause,[status(thm)],[f2013]) ).

fof(f2081,plain,
    ! [X0] :
      ( l3(b,X0)
      | ~ p2(b,X0,b)
      | ~ spl0_50 ),
    inference(resolution,[status(thm)],[f1101,f742]) ).

fof(f2159,plain,
    ! [X0] :
      ( ~ m1(X0,b,X0)
      | l3(b,X0)
      | ~ spl0_50 ),
    inference(resolution,[status(thm)],[f685,f2081]) ).

fof(f2161,plain,
    ( ~ m1(e,b,e)
    | ~ spl0_50 ),
    inference(resolution,[status(thm)],[f2159,f924]) ).

fof(f2162,plain,
    ( ~ m0(b,b,e)
    | ~ spl0_50 ),
    inference(resolution,[status(thm)],[f2161,f416]) ).

fof(f2163,plain,
    ( $false
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2162,f400]) ).

fof(f2164,plain,
    ~ spl0_50,
    inference(contradiction_clause,[status(thm)],[f2163]) ).

fof(f2165,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2014,f2164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN228-1 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 22:16:29 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.37  % Drodi V3.6.0
% 0.21/0.42  % Refutation found
% 0.21/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.43  % Elapsed time: 0.071105 seconds
% 0.21/0.43  % CPU time: 0.385209 seconds
% 0.21/0.43  % Total memory used: 51.555 MB
% 0.21/0.43  % Net memory used: 51.123 MB
%------------------------------------------------------------------------------