%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : KRS262+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 20:25:06 EDT 2024

% Result   : Theorem 0.20s 0.44s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   99 (  39   ~;  35   |;  20   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   84 (  72   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [Ax,C] :
      ( ! [I1] :
          ( model(I1,Ax)
         => model(I1,C) )
    <=> status(Ax,C,thm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Ax,C] :
      ( ! [I1] :
          ( model(I1,Ax)
          & model(I1,C) )
    <=> status(Ax,C,tau) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [S1,S2] :
      ( ? [Ax,C] :
          ( status(Ax,C,S1)
          & status(Ax,C,S2) )
    <=> mighta(S1,S2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ? [F] :
    ! [I] : model(I,F),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,conjecture,
    mighta(tau,thm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ~ mighta(tau,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(f67,plain,
    ! [X0,X1] :
      ( ~ model(sk0_9(X0,X1),X0)
      | status(X1,X0,thm) ),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f102,plain,
    ! [Ax,C] :
      ( ( ? [I1] :
            ( ~ model(I1,Ax)
            | ~ model(I1,C) )
        | status(Ax,C,tau) )
      & ( ! [I1] :
            ( model(I1,Ax)
            & model(I1,C) )
        | ~ status(Ax,C,tau) ) ),
    inference(NNF_transformation,[status(esa)],[f10]) ).

fof(f103,plain,
    ( ! [Ax,C] :
        ( ? [I1] : ~ model(I1,Ax)
        | ? [I1] : ~ model(I1,C)
        | status(Ax,C,tau) )
    & ! [Ax,C] :
        ( ( ! [I1] : model(I1,Ax)
          & ! [I1] : model(I1,C) )
        | ~ status(Ax,C,tau) ) ),
    inference(miniscoping,[status(esa)],[f102]) ).

fof(f104,plain,
    ( ! [Ax,C] :
        ( ~ model(sk0_20(C,Ax),Ax)
        | ~ model(sk0_21(C,Ax),C)
        | status(Ax,C,tau) )
    & ! [Ax,C] :
        ( ( ! [I1] : model(I1,Ax)
          & ! [I1] : model(I1,C) )
        | ~ status(Ax,C,tau) ) ),
    inference(skolemization,[status(esa)],[f103]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ model(sk0_20(X0,X1),X1)
      | ~ model(sk0_21(X0,X1),X0)
      | status(X1,X0,tau) ),
    inference(cnf_transformation,[status(esa)],[f104]) ).

fof(f174,plain,
    ! [S1,S2] :
      ( ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | ~ status(Ax,C,S2) )
        | mighta(S1,S2) )
      & ( ? [Ax,C] :
            ( status(Ax,C,S1)
            & status(Ax,C,S2) )
        | ~ mighta(S1,S2) ) ),
    inference(NNF_transformation,[status(esa)],[f20]) ).

fof(f175,plain,
    ( ! [S1,S2] :
        ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | ~ status(Ax,C,S2) )
        | mighta(S1,S2) )
    & ! [S1,S2] :
        ( ? [Ax,C] :
            ( status(Ax,C,S1)
            & status(Ax,C,S2) )
        | ~ mighta(S1,S2) ) ),
    inference(miniscoping,[status(esa)],[f174]) ).

fof(f176,plain,
    ( ! [S1,S2] :
        ( ! [Ax,C] :
            ( ~ status(Ax,C,S1)
            | ~ status(Ax,C,S2) )
        | mighta(S1,S2) )
    & ! [S1,S2] :
        ( ( status(sk0_42(S2,S1),sk0_43(S2,S1),S1)
          & status(sk0_42(S2,S1),sk0_43(S2,S1),S2) )
        | ~ mighta(S1,S2) ) ),
    inference(skolemization,[status(esa)],[f175]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3] :
      ( ~ status(X0,X1,X2)
      | ~ status(X0,X1,X3)
      | mighta(X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f176]) ).

fof(f215,plain,
    ! [I] : model(I,sk0_52),
    inference(skolemization,[status(esa)],[f27]) ).

fof(f216,plain,
    ! [X0] : model(X0,sk0_52),
    inference(cnf_transformation,[status(esa)],[f215]) ).

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

fof(f271,plain,
    ! [X0] : status(X0,sk0_52,thm),
    inference(resolution,[status(thm)],[f67,f216]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ~ status(X0,sk0_52,X1)
      | mighta(X1,thm) ),
    inference(resolution,[status(thm)],[f271,f177]) ).

fof(f292,plain,
    ! [X0] : ~ status(X0,sk0_52,tau),
    inference(resolution,[status(thm)],[f291,f240]) ).

fof(f492,plain,
    ! [X0] :
      ( ~ model(sk0_20(sk0_52,X0),X0)
      | status(X0,sk0_52,tau) ),
    inference(resolution,[status(thm)],[f105,f216]) ).

fof(f493,plain,
    ! [X0] : ~ model(sk0_20(sk0_52,X0),X0),
    inference(forward_subsumption_resolution,[status(thm)],[f492,f292]) ).

fof(f534,plain,
    $false,
    inference(resolution,[status(thm)],[f493,f216]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS262+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 : n010.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 23:11:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.44  % Refutation found
% 0.20/0.44  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45  % Elapsed time: 0.103211 seconds
% 0.20/0.45  % CPU time: 0.713291 seconds
% 0.20/0.45  % Total memory used: 18.130 MB
% 0.20/0.45  % Net memory used: 17.618 MB
%------------------------------------------------------------------------------