%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:25:01 EDT 2024

% Result   : Theorem 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   6 unt;   0 def)
%            Number of atoms       :   90 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   96 (  37   ~;  35   |;  15   &)
%                                         (   7 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   83 (  74   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [Ax,C] :
      ( ! [I1] :
          ( model(I1,Ax)
         => model(I1,C) )
    <=> status(Ax,C,thm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [Ax,C] :
      ( ~ ? [I1] : model(I1,Ax)
    <=> status(Ax,C,cax) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( status(Ax,C,S1)
         => status(Ax,C,S2) )
    <=> isa(S1,S2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,conjecture,
    isa(cax,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ~ isa(cax,thm),
    inference(negated_conjecture,[status(cth)],[f33]) ).

fof(f62,plain,
    ! [Ax,C] :
      ( ! [I1] :
          ( ~ model(I1,Ax)
          | model(I1,C) )
    <=> status(Ax,C,thm) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f63,plain,
    ! [Ax,C] :
      ( ( ? [I1] :
            ( model(I1,Ax)
            & ~ model(I1,C) )
        | status(Ax,C,thm) )
      & ( ! [I1] :
            ( ~ model(I1,Ax)
            | model(I1,C) )
        | ~ status(Ax,C,thm) ) ),
    inference(NNF_transformation,[status(esa)],[f62]) ).

fof(f64,plain,
    ( ! [Ax,C] :
        ( ? [I1] :
            ( model(I1,Ax)
            & ~ model(I1,C) )
        | status(Ax,C,thm) )
    & ! [Ax,C] :
        ( ! [I1] :
            ( ~ model(I1,Ax)
            | model(I1,C) )
        | ~ status(Ax,C,thm) ) ),
    inference(miniscoping,[status(esa)],[f63]) ).

fof(f65,plain,
    ( ! [Ax,C] :
        ( ( model(sk0_9(C,Ax),Ax)
          & ~ model(sk0_9(C,Ax),C) )
        | status(Ax,C,thm) )
    & ! [Ax,C] :
        ( ! [I1] :
            ( ~ model(I1,Ax)
            | model(I1,C) )
        | ~ status(Ax,C,thm) ) ),
    inference(skolemization,[status(esa)],[f64]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( model(sk0_9(X0,X1),X1)
      | status(X1,X0,thm) ),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f126,plain,
    ! [Ax,C] :
      ( ! [I1] : ~ model(I1,Ax)
    <=> status(Ax,C,cax) ),
    inference(pre_NNF_transformation,[status(esa)],[f13]) ).

fof(f127,plain,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        | status(Ax,C,cax) )
      & ( ! [I1] : ~ model(I1,Ax)
        | ~ status(Ax,C,cax) ) ),
    inference(NNF_transformation,[status(esa)],[f126]) ).

fof(f128,plain,
    ( ! [Ax] :
        ( ? [I1] : model(I1,Ax)
        | ! [C] : status(Ax,C,cax) )
    & ! [Ax] :
        ( ! [I1] : ~ model(I1,Ax)
        | ! [C] : ~ status(Ax,C,cax) ) ),
    inference(miniscoping,[status(esa)],[f127]) ).

fof(f129,plain,
    ( ! [Ax] :
        ( model(sk0_29(Ax),Ax)
        | ! [C] : status(Ax,C,cax) )
    & ! [Ax] :
        ( ! [I1] : ~ model(I1,Ax)
        | ! [C] : ~ status(Ax,C,cax) ) ),
    inference(skolemization,[status(esa)],[f128]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( ~ model(X0,X1)
      | ~ status(X1,X2,cax) ),
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f180,plain,
    ! [S1,S2] :
      ( ! [Ax,C] :
          ( ~ status(Ax,C,S1)
          | status(Ax,C,S2) )
    <=> isa(S1,S2) ),
    inference(pre_NNF_transformation,[status(esa)],[f21]) ).

fof(f181,plain,
    ! [S1,S2] :
      ( ( ? [Ax,C] :
            ( status(Ax,C,S1)
            & ~ status(Ax,C,S2) )
        | isa(S1,S2) )
      & ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | status(Ax,C,S2) )
        | ~ isa(S1,S2) ) ),
    inference(NNF_transformation,[status(esa)],[f180]) ).

fof(f182,plain,
    ( ! [S1,S2] :
        ( ? [Ax,C] :
            ( status(Ax,C,S1)
            & ~ status(Ax,C,S2) )
        | isa(S1,S2) )
    & ! [S1,S2] :
        ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | status(Ax,C,S2) )
        | ~ isa(S1,S2) ) ),
    inference(miniscoping,[status(esa)],[f181]) ).

fof(f183,plain,
    ( ! [S1,S2] :
        ( ( status(sk0_44(S2,S1),sk0_45(S2,S1),S1)
          & ~ status(sk0_44(S2,S1),sk0_45(S2,S1),S2) )
        | isa(S1,S2) )
    & ! [S1,S2] :
        ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | status(Ax,C,S2) )
        | ~ isa(S1,S2) ) ),
    inference(skolemization,[status(esa)],[f182]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( status(sk0_44(X0,X1),sk0_45(X0,X1),X1)
      | isa(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f183]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ status(sk0_44(X0,X1),sk0_45(X0,X1),X0)
      | isa(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f183]) ).

fof(f240,plain,
    ~ isa(cax,thm),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( isa(cax,X0)
      | ~ model(X1,sk0_44(X0,cax)) ),
    inference(resolution,[status(thm)],[f184,f131]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( isa(cax,X0)
      | status(sk0_44(X0,cax),X1,thm) ),
    inference(resolution,[status(thm)],[f395,f66]) ).

fof(f415,plain,
    ( spl0_28
  <=> isa(cax,thm) ),
    introduced(split_symbol_definition) ).

fof(f416,plain,
    ( isa(cax,thm)
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f415]) ).

fof(f418,plain,
    ( isa(cax,thm)
    | isa(cax,thm) ),
    inference(resolution,[status(thm)],[f397,f185]) ).

fof(f419,plain,
    spl0_28,
    inference(split_clause,[status(thm)],[f418,f415]) ).

fof(f422,plain,
    ( $false
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f416,f240]) ).

fof(f423,plain,
    ~ spl0_28,
    inference(contradiction_clause,[status(thm)],[f422]) ).

fof(f424,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f419,f423]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n009.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Mon Apr 29 23:19:55 EDT 2024
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.6.0
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28  % Elapsed time: 0.020992 seconds
% 0.06/0.28  % CPU time: 0.102908 seconds
% 0.06/0.28  % Total memory used: 7.026 MB
% 0.06/0.28  % Net memory used: 6.971 MB
%------------------------------------------------------------------------------