TSTP Solution File: AGT003+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : AGT003+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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  : 600s
% DateTime : Thu Jul 14 12:02:01 EDT 2022

% Result   : Theorem 222.36s 222.53s
% Output   : CNFRefutation 222.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   39 (  19 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   83 (  41   ~;  34   |;   5   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   54 (   6 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(a1_1,axiom,
    ! [A,C,N,L] :
      ( accept_team(A,L,C,N)
    <=> ( accept_city(A,C)
        & accept_leader(A,L)
        & accept_number(A,N) ) ) ).

fof(event_26,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) ).

fof(event_90,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) ).

fof(event_93,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) ).

fof(query_3,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) ).

fof(subgoal_0,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(strip,[],[query_3]) ).

fof(negate_0_0,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(canonicalize,[],[event_26]) ).

fof(normalize_0_1,plain,
    ! [A,C,L,N] :
      ( ~ accept_team(A,L,C,N)
    <=> ( ~ accept_city(A,C)
        | ~ accept_leader(A,L)
        | ~ accept_number(A,N) ) ),
    inference(canonicalize,[],[a1_1]) ).

fof(normalize_0_2,plain,
    ! [A,C,L,N] :
      ( ~ accept_team(A,L,C,N)
    <=> ( ~ accept_city(A,C)
        | ~ accept_leader(A,L)
        | ~ accept_number(A,N) ) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [A,C,L,N] :
      ( ( ~ accept_team(A,L,C,N)
        | accept_city(A,C) )
      & ( ~ accept_team(A,L,C,N)
        | accept_leader(A,L) )
      & ( ~ accept_team(A,L,C,N)
        | accept_number(A,N) )
      & ( ~ accept_city(A,C)
        | ~ accept_leader(A,L)
        | ~ accept_number(A,N)
        | accept_team(A,L,C,N) ) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [A,C,L,N] :
      ( ~ accept_team(A,L,C,N)
      | accept_city(A,C) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(canonicalize,[],[event_93]) ).

fof(normalize_0_6,plain,
    ! [A,C,L,N] :
      ( ~ accept_team(A,L,C,N)
      | accept_leader(A,L) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_7,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(canonicalize,[],[event_90]) ).

fof(normalize_0_8,plain,
    ! [A,C,L,N] :
      ( ~ accept_team(A,L,C,N)
      | accept_number(A,N) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_9,plain,
    ! [A,C,L,N] :
      ( ~ accept_city(A,C)
      | ~ accept_leader(A,L)
      | ~ accept_number(A,N)
      | accept_team(A,L,C,N) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_10,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(canonicalize,[],[negate_0_0]) ).

cnf(refute_0_0,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ accept_team(A,L,C,N)
    | accept_city(A,C) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6)
    | accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(subst,[],[refute_0_1:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(towna)),bind(L,$fot(countryacivilorganization)),bind(N,$fot(n6))]]) ).

cnf(refute_0_3,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ( ~ accept_team(A,L,C,N)
    | accept_leader(A,L) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_6,plain,
    ( ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6)
    | accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(countryafirstaidorganization)),bind(N,$fot(n6))]]) ).

cnf(refute_0_7,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ accept_team(A,L,C,N)
    | accept_number(A,N) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5)
    | accept_number(christiansufferterrahumanitarianorganization,n5) ),
    inference(subst,[],[refute_0_9:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(coastvillage)),bind(L,$fot(countryahumanitarianorganization)),bind(N,$fot(n5))]]) ).

cnf(refute_0_11,plain,
    accept_number(christiansufferterrahumanitarianorganization,n5),
    inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryahumanitarianorganization,coastvillage,n5) )],[refute_0_8,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ accept_city(A,C)
    | ~ accept_leader(A,L)
    | ~ accept_number(A,N)
    | accept_team(A,L,C,N) ),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_13,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,X_68763)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,X_68764)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n5)
    | accept_team(christiansufferterrahumanitarianorganization,X_68764,X_68763,n5) ),
    inference(subst,[],[refute_0_12:[bind(A,$fot(christiansufferterrahumanitarianorganization)),bind(C,$fot(X_68763)),bind(L,$fot(X_68764)),bind(N,$fot(n5))]]) ).

cnf(refute_0_14,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,X_68763)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,X_68764)
    | accept_team(christiansufferterrahumanitarianorganization,X_68764,X_68763,n5) ),
    inference(resolve,[$cnf( accept_number(christiansufferterrahumanitarianorganization,n5) )],[refute_0_11,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,X_70168)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X_70168,n5) ),
    inference(subst,[],[refute_0_14:[bind(X_68763,$fot(X_70168)),bind(X_68764,$fot(countryafirstaidorganization))]]) ).

cnf(refute_0_16,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,X_70168)
    | accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X_70168,n5) ),
    inference(resolve,[$cnf( accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization) )],[refute_0_7,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,towna)
    | accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) ),
    inference(subst,[],[refute_0_16:[bind(X_70168,$fot(towna))]]) ).

cnf(refute_0_18,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(resolve,[$cnf( accept_city(christiansufferterrahumanitarianorganization,towna) )],[refute_0_3,refute_0_17]) ).

cnf(refute_0_19,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_20,plain,
    $false,
    inference(resolve,[$cnf( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n5) )],[refute_0_18,refute_0_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : AGT003+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun  4 06:08:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 222.36/222.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 222.36/222.53  
% 222.36/222.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 222.36/222.54  
%------------------------------------------------------------------------------