TSTP Solution File: KRS093+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS093+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:24:45 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   4 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   50 (  24   ~;  17   |;   5   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( cf(X)
        & ce3(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] :
      ( cc(X)
     => ~ cd(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] :
      ( ce3(X)
     => cc(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( cf(X)
     => cd(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    cUnsatisfiable(i2003_11_14_17_20_07201),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X] :
      ( ( ~ cUnsatisfiable(X)
        | ( cf(X)
          & ce3(X) ) )
      & ( cUnsatisfiable(X)
        | ~ cf(X)
        | ~ ce3(X) ) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

fof(f18,plain,
    ( ! [X] :
        ( ~ cUnsatisfiable(X)
        | ( cf(X)
          & ce3(X) ) )
    & ! [X] :
        ( cUnsatisfiable(X)
        | ~ cf(X)
        | ~ ce3(X) ) ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cf(X0) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ce3(X0) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f22,plain,
    ! [X] :
      ( ~ cc(X)
      | ~ cd(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ cc(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f28,plain,
    ! [X] :
      ( ~ ce3(X)
      | cc(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ ce3(X0)
      | cc(X0) ),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f30,plain,
    ! [X] :
      ( ~ cf(X)
      | cd(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ cf(X0)
      | cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f32,plain,
    cUnsatisfiable(i2003_11_14_17_20_07201),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ cf(X0)
      | ~ cc(X0) ),
    inference(resolution,[status(thm)],[f31,f23]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ cf(X0)
      | ~ ce3(X0) ),
    inference(resolution,[status(thm)],[f34,f29]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ cf(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[status(thm)],[f35,f20]) ).

fof(f37,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f36,f19]) ).

fof(f38,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f32,f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS093+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n020.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Apr 29 23:24:32 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.012129 seconds
% 0.12/0.37  % CPU time: 0.013878 seconds
% 0.12/0.37  % Total memory used: 142.432 KB
% 0.12/0.37  % Net memory used: 141.152 KB
%------------------------------------------------------------------------------