TSTP Solution File: CSR118+5 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR118+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:15:42 EDT 2024

% Result   : Theorem 51.09s 7.20s
% Output   : CNFRefutation 52.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  15 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   55 (  25   ~;  23   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,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(f27,axiom,
    ! [V__X,V__Y,V__Z] :
      ( ( s__instance(V__Y,s__SetOrClass)
        & s__instance(V__X,s__SetOrClass) )
     => ( ( s__subclass(V__X,V__Y)
          & s__instance(V__Z,V__X) )
       => s__instance(V__Z,V__Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7193,axiom,
    s__subclass(s__Primate,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7203,axiom,
    s__subclass(s__Hominid,s__Primate),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7206,axiom,
    s__subclass(s__Human,s__Hominid),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16749,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16750,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16751,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(negated_conjecture,[status(cth)],[f16750]) ).

fof(f16791,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)],[f26]) ).

fof(f16792,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[status(esa)],[f16791]) ).

fof(f16793,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[status(esa)],[f16791]) ).

fof(f16794,plain,
    ! [V__X,V__Y,V__Z] :
      ( ~ s__instance(V__Y,s__SetOrClass)
      | ~ s__instance(V__X,s__SetOrClass)
      | ~ s__subclass(V__X,V__Y)
      | ~ s__instance(V__Z,V__X)
      | s__instance(V__Z,V__Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f27]) ).

fof(f16795,plain,
    ! [V__X,V__Y] :
      ( ~ s__instance(V__Y,s__SetOrClass)
      | ~ s__instance(V__X,s__SetOrClass)
      | ! [V__Z] :
          ( ~ s__subclass(V__X,V__Y)
          | ~ s__instance(V__Z,V__X)
          | s__instance(V__Z,V__Y) ) ),
    inference(miniscoping,[status(esa)],[f16794]) ).

fof(f16796,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X1,X0)
      | ~ s__instance(X2,X1)
      | s__instance(X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f16795]) ).

fof(f29484,plain,
    s__subclass(s__Primate,s__Mammal),
    inference(cnf_transformation,[status(esa)],[f7193]) ).

fof(f29494,plain,
    s__subclass(s__Hominid,s__Primate),
    inference(cnf_transformation,[status(esa)],[f7203]) ).

fof(f29497,plain,
    s__subclass(s__Human,s__Hominid),
    inference(cnf_transformation,[status(esa)],[f7206]) ).

fof(f44204,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(cnf_transformation,[status(esa)],[f16749]) ).

fof(f44205,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(cnf_transformation,[status(esa)],[f16751]) ).

fof(f45544,plain,
    ! [X0,X1,X2] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f16796,f16793]) ).

fof(f49037,plain,
    ! [X0,X1,X2] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f45544,f16792]) ).

fof(f49038,plain,
    ! [X0] :
      ( ~ s__subclass(s__Human,X0)
      | s__instance(s__AbrahamLincoln,X0) ),
    inference(resolution,[status(thm)],[f49037,f44204]) ).

fof(f49048,plain,
    s__instance(s__AbrahamLincoln,s__Hominid),
    inference(resolution,[status(thm)],[f49038,f29497]) ).

fof(f49174,plain,
    ! [X0] :
      ( ~ s__subclass(s__Hominid,X0)
      | s__instance(s__AbrahamLincoln,X0) ),
    inference(resolution,[status(thm)],[f49048,f49037]) ).

fof(f49175,plain,
    s__instance(s__AbrahamLincoln,s__Primate),
    inference(resolution,[status(thm)],[f49174,f29494]) ).

fof(f49185,plain,
    ! [X0] :
      ( ~ s__subclass(s__Primate,X0)
      | s__instance(s__AbrahamLincoln,X0) ),
    inference(resolution,[status(thm)],[f49175,f49037]) ).

fof(f49195,plain,
    s__instance(s__AbrahamLincoln,s__Mammal),
    inference(resolution,[status(thm)],[f49185,f29484]) ).

fof(f49196,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f49195,f44205]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : CSR118+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n016.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 : Tue Apr 30 00:25:10 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.60/0.76  % Drodi V3.6.0
% 51.09/7.20  % Refutation found
% 51.09/7.20  % SZS status Theorem for theBenchmark: Theorem is valid
% 51.09/7.20  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 53.58/7.44  % Elapsed time: 7.081594 seconds
% 53.58/7.44  % CPU time: 52.242605 seconds
% 53.58/7.44  % Total memory used: 1.105 GB
% 53.58/7.44  % Net memory used: 1.098 GB
%------------------------------------------------------------------------------