TSTP Solution File: CSR064+2 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR064+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 : Fri Jul 15 21:57:22 EDT 2022

% Result   : Theorem 0.69s 0.90s
% Output   : CNFRefutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  19   ~;   9   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (   1 sgn  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_229,axiom,
    ! [ARG1,ARG2] :
      ( genls(ARG1,ARG2)
     => collection(ARG1) ) ).

fof(ax1_289,axiom,
    ! [OBJ] :
      ~ ( collection(OBJ)
        & individual(OBJ) ) ).

fof(ax1_428,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ).

fof(query114,conjecture,
    ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) ).

fof(subgoal_0,plain,
    ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(strip,[],[query114]) ).

fof(negate_0_0,plain,
    ~ ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ! [ARG1] :
      ( collection(ARG1)
      | ! [ARG2] : ~ genls(ARG1,ARG2) ),
    inference(canonicalize,[],[ax1_229]) ).

fof(normalize_0_2,plain,
    ! [ARG1] :
      ( collection(ARG1)
      | ! [ARG2] : ~ genls(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [ARG1,ARG2] :
      ( ~ genls(ARG1,ARG2)
      | collection(ARG1) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(canonicalize,[],[ax1_428]) ).

fof(normalize_0_5,plain,
    ! [OBJ] :
      ( ~ collection(OBJ)
      | ~ individual(OBJ) ),
    inference(canonicalize,[],[ax1_289]) ).

fof(normalize_0_6,plain,
    ! [OBJ] :
      ( ~ collection(OBJ)
      | ~ individual(OBJ) ),
    inference(specialize,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ genls(ARG1,ARG2)
    | collection(ARG1) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_2,plain,
    ( ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743)
    | collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
    inference(subst,[],[refute_0_1:[bind(ARG1,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))),bind(ARG2,$fot(c_tptpcol_15_74743))]]) ).

cnf(refute_0_3,plain,
    collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(resolve,[$cnf( genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_5,plain,
    ( ~ collection(OBJ)
    | ~ individual(OBJ) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_6,plain,
    ( ~ collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
    | ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
    inference(subst,[],[refute_0_5:[bind(OBJ,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))]]) ).

cnf(refute_0_7,plain,
    ~ collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(resolve,[$cnf( individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    $false,
    inference(resolve,[$cnf( collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_3,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR064+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 15:10:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.69/0.90  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.90  
% 0.69/0.90  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.69/0.90  
%------------------------------------------------------------------------------