%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS195+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (   6 unt;   0 def)
%            Number of atoms       :   98 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  107 (  40   ~;  38   |;  20   &)
%                                         (   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    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   90 (  79   !;  11   ?)

% 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(f15,axiom,
    ! [Ax,C] :
      ( ( ~ ? [I1] : model(I1,Ax)
        & ! [I2] : model(I2,C) )
    <=> status(Ax,C,tca) ),
    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(tca,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ~ isa(tca,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(f139,plain,
    ! [Ax,C] :
      ( ( ! [I1] : ~ model(I1,Ax)
        & ! [I2] : model(I2,C) )
    <=> status(Ax,C,tca) ),
    inference(pre_NNF_transformation,[status(esa)],[f15]) ).

fof(f140,plain,
    ! [Ax,C] :
      ( ( ? [I1] : model(I1,Ax)
        | ? [I2] : ~ model(I2,C)
        | status(Ax,C,tca) )
      & ( ( ! [I1] : ~ model(I1,Ax)
          & ! [I2] : model(I2,C) )
        | ~ status(Ax,C,tca) ) ),
    inference(NNF_transformation,[status(esa)],[f139]) ).

fof(f141,plain,
    ( ! [Ax,C] :
        ( ? [I1] : model(I1,Ax)
        | ? [I2] : ~ model(I2,C)
        | status(Ax,C,tca) )
    & ! [Ax,C] :
        ( ( ! [I1] : ~ model(I1,Ax)
          & ! [I2] : model(I2,C) )
        | ~ status(Ax,C,tca) ) ),
    inference(miniscoping,[status(esa)],[f140]) ).

fof(f142,plain,
    ( ! [Ax,C] :
        ( model(sk0_32(C,Ax),Ax)
        | ~ model(sk0_33(C,Ax),C)
        | status(Ax,C,tca) )
    & ! [Ax,C] :
        ( ( ! [I1] : ~ model(I1,Ax)
          & ! [I2] : model(I2,C) )
        | ~ status(Ax,C,tca) ) ),
    inference(skolemization,[status(esa)],[f141]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( ~ model(X0,X1)
      | ~ status(X1,X2,tca) ),
    inference(cnf_transformation,[status(esa)],[f142]) ).

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(tca,thm),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( isa(tca,X0)
      | ~ model(X1,sk0_44(X0,tca)) ),
    inference(resolution,[status(thm)],[f184,f144]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( isa(tca,X0)
      | status(sk0_44(X0,tca),X1,thm) ),
    inference(resolution,[status(thm)],[f253,f66]) ).

fof(f267,plain,
    ( spl0_2
  <=> isa(tca,thm) ),
    introduced(split_symbol_definition) ).

fof(f268,plain,
    ( isa(tca,thm)
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f267]) ).

fof(f270,plain,
    ( isa(tca,thm)
    | isa(tca,thm) ),
    inference(resolution,[status(thm)],[f185,f260]) ).

fof(f271,plain,
    spl0_2,
    inference(split_clause,[status(thm)],[f270,f267]) ).

fof(f276,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f268,f240]) ).

fof(f277,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f276]) ).

fof(f278,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f271,f277]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS195+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 23:27:40 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.027187 seconds
% 0.13/0.37  % CPU time: 0.100519 seconds
% 0.13/0.37  % Total memory used: 4.372 MB
% 0.13/0.37  % Net memory used: 4.336 MB
%------------------------------------------------------------------------------