TSTP Solution File: CSR079+7 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR079+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:14:58 EDT 2024

% Result   : Theorem 76.81s 11.67s
% Output   : CNFRefutation 81.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :  110 (  11 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  133 (  44   ~;  44   |;  40   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   62 (  54   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26456,axiom,
    ! [V__X,V__Y] :
      ( s__subclass(V__X,V__Y)
     => ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32412,axiom,
    ! [V__C2,V__U,V__C1] :
      ( V__U = s__UnionFn(V__C1,V__C2)
    <=> ! [V__I1,V__I2,V__I3] :
          ( ( s__instance(V__C1,s__SetOrClass)
            & s__instance(V__U,s__SetOrClass)
            & s__instance(V__C2,s__SetOrClass) )
         => ( ( s__instance(V__I1,V__C1)
              & s__instance(V__I2,V__C2)
              & s__instance(V__I3,V__U) )
           => ( s__instance(V__I1,V__U)
              & s__instance(V__I2,V__U)
              & ( s__instance(V__I3,V__C1)
                | s__instance(V__I3,V__C2) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34802,axiom,
    s__subclass(s__Organism,s__Agent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55620,conjecture,
    ? [X__s__Organism5_1] : s__instance(X__s__Organism5_1,s__Animal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55621,negated_conjecture,
    ~ ? [X__s__Organism5_1] : s__instance(X__s__Organism5_1,s__Animal),
    inference(negated_conjecture,[status(cth)],[f55620]) ).

fof(f112219,plain,
    ! [V__X,V__Y] :
      ( ~ s__subclass(V__X,V__Y)
      | ( s__instance(V__X,s__SetOrClass)
        & s__instance(V__Y,s__SetOrClass) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f26456]) ).

fof(f112221,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[status(esa)],[f112219]) ).

fof(f123612,plain,
    ! [V__C2,V__U,V__C1] :
      ( V__U = s__UnionFn(V__C1,V__C2)
    <=> ! [V__I1,V__I2,V__I3] :
          ( ~ s__instance(V__C1,s__SetOrClass)
          | ~ s__instance(V__U,s__SetOrClass)
          | ~ s__instance(V__C2,s__SetOrClass)
          | ~ s__instance(V__I1,V__C1)
          | ~ s__instance(V__I2,V__C2)
          | ~ s__instance(V__I3,V__U)
          | ( s__instance(V__I1,V__U)
            & s__instance(V__I2,V__U)
            & ( s__instance(V__I3,V__C1)
              | s__instance(V__I3,V__C2) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f32412]) ).

fof(f123613,plain,
    ! [V__C2,V__U,V__C1] :
      ( ( V__U != s__UnionFn(V__C1,V__C2)
        | ! [V__I1,V__I2,V__I3] :
            ( ~ s__instance(V__C1,s__SetOrClass)
            | ~ s__instance(V__U,s__SetOrClass)
            | ~ s__instance(V__C2,s__SetOrClass)
            | ~ s__instance(V__I1,V__C1)
            | ~ s__instance(V__I2,V__C2)
            | ~ s__instance(V__I3,V__U)
            | ( s__instance(V__I1,V__U)
              & s__instance(V__I2,V__U)
              & ( s__instance(V__I3,V__C1)
                | s__instance(V__I3,V__C2) ) ) ) )
      & ( V__U = s__UnionFn(V__C1,V__C2)
        | ? [V__I1,V__I2,V__I3] :
            ( s__instance(V__C1,s__SetOrClass)
            & s__instance(V__U,s__SetOrClass)
            & s__instance(V__C2,s__SetOrClass)
            & s__instance(V__I1,V__C1)
            & s__instance(V__I2,V__C2)
            & s__instance(V__I3,V__U)
            & ( ~ s__instance(V__I1,V__U)
              | ~ s__instance(V__I2,V__U)
              | ( ~ s__instance(V__I3,V__C1)
                & ~ s__instance(V__I3,V__C2) ) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f123612]) ).

fof(f123614,plain,
    ( ! [V__C2,V__U,V__C1] :
        ( V__U != s__UnionFn(V__C1,V__C2)
        | ~ s__instance(V__C1,s__SetOrClass)
        | ~ s__instance(V__U,s__SetOrClass)
        | ~ s__instance(V__C2,s__SetOrClass)
        | ! [V__I1,V__I2,V__I3] :
            ( ~ s__instance(V__I1,V__C1)
            | ~ s__instance(V__I2,V__C2)
            | ~ s__instance(V__I3,V__U)
            | ( s__instance(V__I1,V__U)
              & s__instance(V__I2,V__U)
              & ( s__instance(V__I3,V__C1)
                | s__instance(V__I3,V__C2) ) ) ) )
    & ! [V__C2,V__U,V__C1] :
        ( V__U = s__UnionFn(V__C1,V__C2)
        | ( s__instance(V__C1,s__SetOrClass)
          & s__instance(V__U,s__SetOrClass)
          & s__instance(V__C2,s__SetOrClass)
          & ? [V__I1,V__I2,V__I3] :
              ( s__instance(V__I1,V__C1)
              & s__instance(V__I2,V__C2)
              & s__instance(V__I3,V__U)
              & ( ~ s__instance(V__I1,V__U)
                | ~ s__instance(V__I2,V__U)
                | ( ~ s__instance(V__I3,V__C1)
                  & ~ s__instance(V__I3,V__C2) ) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f123613]) ).

fof(f123615,plain,
    ( ! [V__C2,V__U,V__C1] :
        ( V__U != s__UnionFn(V__C1,V__C2)
        | ~ s__instance(V__C1,s__SetOrClass)
        | ~ s__instance(V__U,s__SetOrClass)
        | ~ s__instance(V__C2,s__SetOrClass)
        | ! [V__I1,V__I2,V__I3] :
            ( ~ s__instance(V__I1,V__C1)
            | ~ s__instance(V__I2,V__C2)
            | ~ s__instance(V__I3,V__U)
            | ( s__instance(V__I1,V__U)
              & s__instance(V__I2,V__U)
              & ( s__instance(V__I3,V__C1)
                | s__instance(V__I3,V__C2) ) ) ) )
    & ! [V__C2,V__U,V__C1] :
        ( V__U = s__UnionFn(V__C1,V__C2)
        | ( s__instance(V__C1,s__SetOrClass)
          & s__instance(V__U,s__SetOrClass)
          & s__instance(V__C2,s__SetOrClass)
          & s__instance(sk0_4526(V__C1,V__U,V__C2),V__C1)
          & s__instance(sk0_4527(V__C1,V__U,V__C2),V__C2)
          & s__instance(sk0_4528(V__C1,V__U,V__C2),V__U)
          & ( ~ s__instance(sk0_4526(V__C1,V__U,V__C2),V__U)
            | ~ s__instance(sk0_4527(V__C1,V__U,V__C2),V__U)
            | ( ~ s__instance(sk0_4528(V__C1,V__U,V__C2),V__C1)
              & ~ s__instance(sk0_4528(V__C1,V__U,V__C2),V__C2) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f123614]) ).

fof(f123622,plain,
    ! [X0,X1,X2] :
      ( X0 = s__UnionFn(X1,X2)
      | s__instance(sk0_4526(X1,X0,X2),X1) ),
    inference(cnf_transformation,[status(esa)],[f123615]) ).

fof(f127396,plain,
    s__subclass(s__Organism,s__Agent),
    inference(cnf_transformation,[status(esa)],[f34802]) ).

fof(f156965,plain,
    ! [X__s__Organism5_1] : ~ s__instance(X__s__Organism5_1,s__Animal),
    inference(pre_NNF_transformation,[status(esa)],[f55621]) ).

fof(f156966,plain,
    ! [X0] : ~ s__instance(X0,s__Animal),
    inference(cnf_transformation,[status(esa)],[f156965]) ).

fof(f160307,plain,
    s__instance(s__Agent,s__SetOrClass),
    inference(resolution,[status(thm)],[f112221,f127396]) ).

fof(f160353,plain,
    ! [X0,X1] : X0 = s__UnionFn(s__Animal,X1),
    inference(resolution,[status(thm)],[f123622,f156966]) ).

fof(f160354,plain,
    ! [X0,X1] : X0 = X1,
    inference(paramodulation,[status(thm)],[f160353,f160353]) ).

fof(f160428,plain,
    ! [X0] : s__instance(X0,s__SetOrClass),
    inference(paramodulation,[status(thm)],[f160354,f160307]) ).

fof(f160432,plain,
    ! [X0,X1] : s__instance(X0,X1),
    inference(paramodulation,[status(thm)],[f160354,f160428]) ).

fof(f160434,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f156966,f160432]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CSR079+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Tue Apr 30 00:04:05 EDT 2024
% 0.09/0.28  % CPUTime  : 
% 1.94/2.12  % Drodi V3.6.0
% 76.81/11.67  % Refutation found
% 76.81/11.67  % SZS status Theorem for theBenchmark: Theorem is valid
% 76.81/11.67  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 82.52/12.42  % Elapsed time: 12.055996 seconds
% 82.52/12.42  % CPU time: 79.399298 seconds
% 82.52/12.42  % Total memory used: 3.987 GB
% 82.52/12.42  % Net memory used: 3.957 GB
%------------------------------------------------------------------------------