↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR174+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:14:24 PM UTC 2026

% Result   : Theorem 24.70s 3.81s
% Output   : CNFRefutation 2.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   46 (  23 unt;   0 def)
%            Number of atoms       :   81 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   66 (  31   ~;  26   |;   6   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-1 aty)
%            Number of variables   :   45 (  39   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y,Z] :
      ( ( p__d__subclass(Y,Z)
        & p__d__subclass(X,Y) )
     => p__d__subclass(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y,Z] :
      ( ( p__d__subclass(Y,Z)
        & p__d__instance(X,Y) )
     => p__d__instance(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f110,axiom,
    ! [CLASS] :
      ( p__d__subclass(CLASS,c__Entity)
     => ? [THING] : p__d__instance(THING,CLASS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f112,axiom,
    p__d__subclass(c__Physical,c__Entity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f191,axiom,
    p__d__subclass(c__ContentBearingProcess,c__Process),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f233,axiom,
    p__d__subclass(c__Process,c__Physical),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1694,axiom,
    p__d__subclass(c__Speaking,c__LinguisticCommunication),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1695,axiom,
    p__d__subclass(c__Speaking,c__Vocalizing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1901,axiom,
    p__d__subclass(c__Communication,c__ContentBearingProcess),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1914,axiom,
    p__d__subclass(c__LinguisticCommunication,c__Communication),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7433,conjecture,
    ? [X,Y] :
      ( X = Y
      & p__d__instance(X,c__Vocalizing)
      & p__d__instance(Y,c__Speaking) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7434,negated_conjecture,
    ~ ? [X,Y] :
        ( X = Y
        & p__d__instance(X,c__Vocalizing)
        & p__d__instance(Y,c__Speaking) ),
    inference(negated_conjecture,[status(cth)],[f7433]) ).

fof(f7436,plain,
    ! [X,Y,Z] :
      ( p__d__subclass(X,Z)
      | ~ p__d__subclass(Y,Z)
      | ~ p__d__subclass(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f7437,plain,
    ! [X,Z] :
      ( p__d__subclass(X,Z)
      | ! [Y] :
          ( ~ p__d__subclass(Y,Z)
          | ~ p__d__subclass(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f7436]) ).

fof(f7438,plain,
    ! [X0,X1,X2] :
      ( p__d__subclass(X0,X2)
      | ~ p__d__subclass(X1,X2)
      | ~ p__d__subclass(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7437]) ).

fof(f7441,plain,
    ! [X,Y,Z] :
      ( p__d__instance(X,Z)
      | ~ p__d__subclass(Y,Z)
      | ~ p__d__instance(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f7442,plain,
    ! [X,Z] :
      ( p__d__instance(X,Z)
      | ! [Y] :
          ( ~ p__d__subclass(Y,Z)
          | ~ p__d__instance(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f7441]) ).

fof(f7443,plain,
    ! [X0,X1,X2] :
      ( p__d__instance(X0,X2)
      | ~ p__d__subclass(X1,X2)
      | ~ p__d__instance(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7442]) ).

fof(f7718,plain,
    ! [CLASS] :
      ( ? [THING] : p__d__instance(THING,CLASS)
      | ~ p__d__subclass(CLASS,c__Entity) ),
    inference(pre_NNF_transformation,[status(thm)],[f110]) ).

fof(f7719,plain,
    ! [CLASS] :
      ( p__d__instance(sK13_skl(CLASS),CLASS)
      | ~ p__d__subclass(CLASS,c__Entity) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(THING,sK13_skl(CLASS))],[f7718]) ).

fof(f7720,plain,
    ! [X0] :
      ( p__d__instance(sK13_skl(X0),X0)
      | ~ p__d__subclass(X0,c__Entity) ),
    inference(cnf_transformation,[status(thm)],[f7719]) ).

fof(f7725,plain,
    p__d__subclass(c__Physical,c__Entity),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f7884,plain,
    p__d__subclass(c__ContentBearingProcess,c__Process),
    inference(cnf_transformation,[status(thm)],[f191]) ).

fof(f7942,plain,
    p__d__subclass(c__Process,c__Physical),
    inference(cnf_transformation,[status(thm)],[f233]) ).

fof(f10295,plain,
    p__d__subclass(c__Speaking,c__LinguisticCommunication),
    inference(cnf_transformation,[status(thm)],[f1694]) ).

fof(f10296,plain,
    p__d__subclass(c__Speaking,c__Vocalizing),
    inference(cnf_transformation,[status(thm)],[f1695]) ).

fof(f10778,plain,
    p__d__subclass(c__Communication,c__ContentBearingProcess),
    inference(cnf_transformation,[status(thm)],[f1901]) ).

fof(f10812,plain,
    p__d__subclass(c__LinguisticCommunication,c__Communication),
    inference(cnf_transformation,[status(thm)],[f1914]) ).

fof(f23432,plain,
    ! [X,Y] :
      ( X != Y
      | ~ p__d__instance(X,c__Vocalizing)
      | ~ p__d__instance(Y,c__Speaking) ),
    inference(pre_NNF_transformation,[status(thm)],[f7434]) ).

fof(f23433,plain,
    ! [X0,X1] :
      ( X1 != X0
      | ~ p__d__instance(X1,c__Vocalizing)
      | ~ p__d__instance(X0,c__Speaking) ),
    inference(cnf_transformation,[status(thm)],[f23432]) ).

fof(f23601,plain,
    ! [X0] :
      ( ~ p__d__instance(X0,c__Vocalizing)
      | ~ p__d__instance(X0,c__Speaking) ),
    inference(destructive_equality_resolution,[status(thm)],[f23433]) ).

fof(f23607,plain,
    ! [X0] :
      ( p__d__subclass(c__Speaking,X0)
      | ~ p__d__subclass(c__LinguisticCommunication,X0) ),
    inference(resolution,[status(thm)],[f7438,f10295]) ).

fof(f30189,plain,
    p__d__subclass(c__Speaking,c__Communication),
    inference(resolution,[status(thm)],[f10812,f23607]) ).

fof(f30193,plain,
    ! [X0] :
      ( p__d__subclass(c__Speaking,X0)
      | ~ p__d__subclass(c__Communication,X0) ),
    inference(resolution,[status(thm)],[f30189,f7438]) ).

fof(f30194,plain,
    p__d__subclass(c__Speaking,c__ContentBearingProcess),
    inference(resolution,[status(thm)],[f30193,f10778]) ).

fof(f30198,plain,
    ! [X0] :
      ( p__d__subclass(c__Speaking,X0)
      | ~ p__d__subclass(c__ContentBearingProcess,X0) ),
    inference(resolution,[status(thm)],[f30194,f7438]) ).

fof(f30227,plain,
    p__d__subclass(c__Speaking,c__Process),
    inference(resolution,[status(thm)],[f30198,f7884]) ).

fof(f30231,plain,
    ! [X0] :
      ( p__d__subclass(c__Speaking,X0)
      | ~ p__d__subclass(c__Process,X0) ),
    inference(resolution,[status(thm)],[f30227,f7438]) ).

fof(f30238,plain,
    p__d__subclass(c__Speaking,c__Physical),
    inference(resolution,[status(thm)],[f30231,f7942]) ).

fof(f30267,plain,
    ! [X0] :
      ( p__d__subclass(c__Speaking,X0)
      | ~ p__d__subclass(c__Physical,X0) ),
    inference(resolution,[status(thm)],[f30238,f7438]) ).

fof(f30272,plain,
    p__d__subclass(c__Speaking,c__Entity),
    inference(resolution,[status(thm)],[f30267,f7725]) ).

fof(f30275,plain,
    p__d__instance(sK13_skl(c__Speaking),c__Speaking),
    inference(resolution,[status(thm)],[f30272,f7720]) ).

fof(f30314,plain,
    ~ p__d__instance(sK13_skl(c__Speaking),c__Vocalizing),
    inference(resolution,[status(thm)],[f30275,f23601]) ).

fof(f30316,plain,
    ! [X0] :
      ( p__d__instance(sK13_skl(c__Speaking),X0)
      | ~ p__d__subclass(c__Speaking,X0) ),
    inference(resolution,[status(thm)],[f30275,f7443]) ).

fof(f30372,plain,
    p__d__instance(sK13_skl(c__Speaking),c__Vocalizing),
    inference(resolution,[status(thm)],[f30316,f10296]) ).

fof(f30375,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f30372,f30314]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR174+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n001.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 15:20:15 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.38/0.63  % Drodi V4.1.1
% 24.70/3.81  % Refutation found
% 24.70/3.81  % SZS status Theorem for theBenchmark: Theorem is valid
% 24.70/3.81  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.57/3.94  % Elapsed time: 3.544435 seconds
% 2.57/3.94  % CPU time: 25.537309 seconds
% 2.57/3.94  % Total memory used: 654.625 MB
% 2.57/3.94  % Net memory used: 646.051 MB
%------------------------------------------------------------------------------