%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:24:41 EDT 2024

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   40 (  17   ~;  15   |;   2   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (  20   !;   1   ?)

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

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

fof(f5,axiom,
    ! [X] :
      ( cc(X)
     => ! [Y] :
          ( rr(X,Y)
         => cc(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f15,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | cc(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cc(X0) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f17,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ~ cd(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f19,plain,
    ! [X] :
      ( ~ cc(X)
      | ! [Y] :
          ( ~ rr(X,Y)
          | cc(Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ cc(X0)
      | ~ rr(X0,X1)
      | cc(X1) ),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f21,plain,
    cUnsatisfiable(i2003_11_14_17_18_23845),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f22,plain,
    ! [X] :
      ( ? [Y] :
          ( rr(X,Y)
          & ~ cc(Y) )
      | cd(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f23,plain,
    ! [X] :
      ( ( rr(X,sk0_0(X))
        & ~ cc(sk0_0(X)) )
      | cd(X) ),
    inference(skolemization,[status(esa)],[f22]) ).

fof(f24,plain,
    ! [X0] :
      ( rr(X0,sk0_0(X0))
      | cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ cc(sk0_0(X0))
      | cd(X0) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f26,plain,
    cc(i2003_11_14_17_18_23845),
    inference(resolution,[status(thm)],[f16,f21]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ cc(X0)
      | cc(sk0_0(X0))
      | cd(X0) ),
    inference(resolution,[status(thm)],[f20,f24]) ).

fof(f28,plain,
    ! [X0] :
      ( ~ cc(X0)
      | cd(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f27,f25]) ).

fof(f29,plain,
    cd(i2003_11_14_17_18_23845),
    inference(resolution,[status(thm)],[f28,f26]) ).

fof(f30,plain,
    ~ cUnsatisfiable(i2003_11_14_17_18_23845),
    inference(resolution,[status(thm)],[f29,f18]) ).

fof(f31,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f30,f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Apr 29 23:38:43 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.12/0.34  % Refutation found
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.35  % Elapsed time: 0.010208 seconds
% 0.12/0.35  % CPU time: 0.015855 seconds
% 0.12/0.35  % Total memory used: 205.600 KB
% 0.12/0.35  % Net memory used: 203.008 KB
%------------------------------------------------------------------------------