↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : AGT005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 11:47:11 AM UTC 2026

% Result   : Theorem 0.09s 5.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (  12 unt;   2 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   51 (  21   ~;  19   |;   8   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,C,N,L] :
      ( accept_team(A,L,C,N)
    <=> ( accept_number(A,N)
        & accept_leader(A,L)
        & accept_city(A,C) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f352,axiom,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f353,axiom,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f435,axiom,
    accept_number(christiansufferterrahumanitarianorganization,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f923,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f924,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(negated_conjecture,[status(cth)],[f923]) ).

fof(f925,plain,
    ! [A,C,N,L] :
      ( ( ~ accept_number(A,N)
        | ~ accept_leader(A,L)
        | ~ accept_city(A,C)
        | accept_team(A,L,C,N) )
      & ( ( accept_number(A,N)
          & accept_leader(A,L)
          & accept_city(A,C) )
        | ~ accept_team(A,L,C,N) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f926,plain,
    ( ! [A,C,N,L] :
        ( ~ accept_number(A,N)
        | ~ accept_leader(A,L)
        | ~ accept_city(A,C)
        | accept_team(A,L,C,N) )
    & ! [A,C,N,L] :
        ( ( accept_number(A,N)
          & accept_leader(A,L)
          & accept_city(A,C) )
        | ~ accept_team(A,L,C,N) ) ),
    inference(miniscoping,[status(thm)],[f925]) ).

fof(f930,plain,
    ! [X0,X1,X2,X3] :
      ( ~ accept_number(X0,X3)
      | ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f926]) ).

fof(f1382,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(cnf_transformation,[status(thm)],[f352]) ).

fof(f1383,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(cnf_transformation,[status(thm)],[f353]) ).

fof(f1465,plain,
    accept_number(christiansufferterrahumanitarianorganization,n3),
    inference(cnf_transformation,[status(thm)],[f435]) ).

fof(f1979,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(cnf_transformation,[status(thm)],[f924]) ).

fof(f1991,plain,
    ! [X0,X1] :
      ( ~ accept_number(christiansufferterrahumanitarianorganization,X1)
      | ~ accept_city(christiansufferterrahumanitarianorganization,X0)
      | accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X0,X1) ),
    inference(resolution,[status(thm)],[f1383,f930]) ).

fof(f2002,plain,
    ( ~ accept_number(christiansufferterrahumanitarianorganization,n3)
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(resolution,[status(thm)],[f1991,f1979]) ).

fof(f2003,definition,
    ( sQ0_spl
  <=> accept_city(christiansufferterrahumanitarianorganization,towna) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f2005,plain,
    ( sQ0_spl
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(component_clause,[status(thm)],[f2003]) ).

fof(f2006,definition,
    ( sQ1_spl
  <=> accept_number(christiansufferterrahumanitarianorganization,n3) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f2008,plain,
    ( sQ1_spl
    | ~ accept_number(christiansufferterrahumanitarianorganization,n3) ),
    inference(component_clause,[status(thm)],[f2006]) ).

fof(f2009,plain,
    ( ~ sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f2002,f2003,f2006]) ).

fof(f2010,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2005,f1382]) ).

fof(f2011,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f2010]) ).

fof(f2012,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2008,f1465]) ).

fof(f2013,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f2012]) ).

fof(f2014,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2009,f2011,f2013]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : AGT005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.35  % Computer : n008.cluster.edu
% 0.09/5.35  % Model    : x86_64 x86_64
% 0.09/5.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35  % Memory   : 8046.5625MB
% 0.09/5.35  % OS       : Linux 6.8.0-71-generic
% 0.09/5.35  % CPULimit : 300
% 0.09/5.35  % WCLimit  : 300
% 0.09/5.35  % DateTime : Mon Sep 21 12:49:16 UTC 2026
% 0.09/5.36  % CPUTime  : 
% 0.09/5.38  % Drodi V4.1.1
% 0.09/5.40  % Refutation found
% 0.09/5.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.45  % Elapsed time: 0.073483 seconds
% 0.14/5.45  % CPU time: 0.197745 seconds
% 0.14/5.45  % Total memory used: 84.695 MB
% 0.14/5.45  % Net memory used: 84.622 MB
%------------------------------------------------------------------------------