TSTP Solution File: CSR064+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR064+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 0.12s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  14 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   61 (  32   ~;  22   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   39 (   2 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just2,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & setorcollection(OBJ) ) ).

fof(just3,axiom,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ).

fof(just10,axiom,
    ! [ARG1,ARG2] :
      ( genls(ARG1,ARG2)
     => subsetof(ARG1,ARG2) ) ).

fof(just23,axiom,
    ! [INS,ARG2] :
      ( genls(INS,ARG2)
     => collection(INS) ) ).

fof(just24,axiom,
    ! [INS,ARG2] :
      ( genls(INS,ARG2)
     => collection(INS) ) ).

fof(just26,axiom,
    ! [X] :
      ( collection(X)
     => genls(X,X) ) ).

fof(just27,axiom,
    ! [X] :
      ( collection(X)
     => genls(X,X) ) ).

fof(just41,axiom,
    ! [INS,ARG2] :
      ( subsetof(INS,ARG2)
     => setorcollection(INS) ) ).

fof(query64,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,[],[query64]) ).

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,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ setorcollection(OBJ) ),
    inference(canonicalize,[],[just2]) ).

fof(normalize_0_1,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ setorcollection(OBJ) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [INS] :
      ( setorcollection(INS)
      | ! [ARG2] : ~ subsetof(INS,ARG2) ),
    inference(canonicalize,[],[just41]) ).

fof(normalize_0_3,plain,
    ! [INS] :
      ( setorcollection(INS)
      | ! [ARG2] : ~ subsetof(INS,ARG2) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [ARG2,INS] :
      ( ~ subsetof(INS,ARG2)
      | setorcollection(INS) ),
    inference(clausify,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( ~ collection(X)
      | genls(X,X) ),
    inference(canonicalize,[],[just27]) ).

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

fof(normalize_0_7,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_8,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ genls(INS,ARG2) ),
    inference(canonicalize,[],[just24]) ).

fof(normalize_0_9,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ genls(INS,ARG2) ),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [ARG2,INS] :
      ( ~ genls(INS,ARG2)
      | collection(INS) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [ARG1,ARG2] :
      ( ~ genls(ARG1,ARG2)
      | subsetof(ARG1,ARG2) ),
    inference(canonicalize,[],[just10]) ).

fof(normalize_0_12,plain,
    ! [ARG1,ARG2] :
      ( ~ genls(ARG1,ARG2)
      | subsetof(ARG1,ARG2) ),
    inference(specialize,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(canonicalize,[],[just3]) ).

cnf(refute_0_0,plain,
    ( ~ individual(OBJ)
    | ~ setorcollection(OBJ) ),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
    | ~ setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
    inference(subst,[],[refute_0_0:[bind(OBJ,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))]]) ).

cnf(refute_0_2,plain,
    ( ~ subsetof(INS,ARG2)
    | setorcollection(INS) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    ( ~ subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
    | setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
    inference(subst,[],[refute_0_2:[bind(ARG2,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))),bind(INS,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))]]) ).

cnf(refute_0_4,plain,
    ( ~ collection(X)
    | genls(X,X) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_5,plain,
    ( ~ collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
    | genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))]]) ).

cnf(refute_0_6,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),c_tptpcol_15_74743),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_7,plain,
    ( ~ genls(INS,ARG2)
    | collection(INS) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_8,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_7:[bind(ARG2,$fot(c_tptpcol_15_74743)),bind(INS,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))]]) ).

cnf(refute_0_9,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_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(resolve,[$cnf( collection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_9,refute_0_5]) ).

cnf(refute_0_11,plain,
    ( ~ genls(ARG1,ARG2)
    | subsetof(ARG1,ARG2) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_12,plain,
    ( ~ genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))
    | subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) ),
    inference(subst,[],[refute_0_11:[bind(ARG1,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)))),bind(ARG2,$fot(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))))]]) ).

cnf(refute_0_13,plain,
    subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(resolve,[$cnf( genls(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_10,refute_0_12]) ).

cnf(refute_0_14,plain,
    setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(resolve,[$cnf( subsetof(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml)),f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_13,refute_0_3]) ).

cnf(refute_0_15,plain,
    ~ individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(resolve,[$cnf( setorcollection(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_14,refute_0_1]) ).

cnf(refute_0_16,plain,
    individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_17,plain,
    $false,
    inference(resolve,[$cnf( individual(f_urlfn(f_urlfn(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml))) )],[refute_0_16,refute_0_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR064+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n029.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 : Thu Jun  9 21:18:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36  
%------------------------------------------------------------------------------