%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:24:42 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :   93 (  35   ~;  29   |;  26   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   35 (  25   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( rs(X,Y)
            & cp(Y)
            & ? [Z] :
                ( rinvS(Y,Z)
                & cp(Z) ) )
        & ! [Y] :
            ( rs(X,Y)
           => ~ cp(Y) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,plain,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( rs(X,Y)
            & cp(Y)
            & ? [Z] :
                ( rinvS(Y,Z)
                & cp(Z) ) )
        & ! [Y] :
            ( ~ rs(X,Y)
            | ~ cp(Y) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f21]) ).

fof(f93,plain,
    ! [X] :
      ( ( ~ cUnsatisfiable(X)
        | ( ? [Y] :
              ( rs(X,Y)
              & cp(Y)
              & ? [Z] :
                  ( rinvS(Y,Z)
                  & cp(Z) ) )
          & ! [Y] :
              ( ~ rs(X,Y)
              | ~ cp(Y) ) ) )
      & ( cUnsatisfiable(X)
        | ! [Y] :
            ( ~ rs(X,Y)
            | ~ cp(Y)
            | ! [Z] :
                ( ~ rinvS(Y,Z)
                | ~ cp(Z) ) )
        | ? [Y] :
            ( rs(X,Y)
            & cp(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f92]) ).

fof(f94,plain,
    ( ! [X] :
        ( ~ cUnsatisfiable(X)
        | ( ? [Y] :
              ( rs(X,Y)
              & cp(Y)
              & ? [Z] :
                  ( rinvS(Y,Z)
                  & cp(Z) ) )
          & ! [Y] :
              ( ~ rs(X,Y)
              | ~ cp(Y) ) ) )
    & ! [X] :
        ( cUnsatisfiable(X)
        | ! [Y] :
            ( ~ rs(X,Y)
            | ~ cp(Y)
            | ! [Z] :
                ( ~ rinvS(Y,Z)
                | ~ cp(Z) ) )
        | ? [Y] :
            ( rs(X,Y)
            & cp(Y) ) ) ),
    inference(miniscoping,[status(esa)],[f93]) ).

fof(f95,plain,
    ( ! [X] :
        ( ~ cUnsatisfiable(X)
        | ( rs(X,sk0_0(X))
          & cp(sk0_0(X))
          & rinvS(sk0_0(X),sk0_1(X))
          & cp(sk0_1(X))
          & ! [Y] :
              ( ~ rs(X,Y)
              | ~ cp(Y) ) ) )
    & ! [X] :
        ( cUnsatisfiable(X)
        | ! [Y] :
            ( ~ rs(X,Y)
            | ~ cp(Y)
            | ! [Z] :
                ( ~ rinvS(Y,Z)
                | ~ cp(Z) ) )
        | ( rs(X,sk0_2(X))
          & cp(sk0_2(X)) ) ) ),
    inference(skolemization,[status(esa)],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | rs(X0,sk0_0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f95]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | cp(sk0_0(X0)) ),
    inference(cnf_transformation,[status(esa)],[f95]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rs(X0,X1)
      | ~ cp(X1) ),
    inference(cnf_transformation,[status(esa)],[f95]) ).

fof(f124,plain,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp(sk0_0(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[status(thm)],[f100,f96]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ cp(sk0_0(X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f140]) ).

fof(f142,plain,
    ! [X0] : ~ cUnsatisfiable(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f141,f97]) ).

fof(f143,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f124,f142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 23:14:20 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 0.11/0.34  % Refutation found
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36  % Elapsed time: 0.010973 seconds
% 0.11/0.36  % CPU time: 0.018028 seconds
% 0.11/0.36  % Total memory used: 624.112 KB
% 0.11/0.36  % Net memory used: 602.032 KB
%------------------------------------------------------------------------------