TSTP Solution File: CSR048+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CSR048+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n028.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 21:57:03 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  18   ~;  11   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   15 (   1 sgn   9   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(just1,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) ).

fof(just2,axiom,
    ( mtvisible(c_tptpgeo_member1_mt)
   => borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ) ).

fof(just31,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ) ).

fof(query48,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x45_y9,ARG2) ) ).

fof(subgoal_0,plain,
    ? [ARG2] :
      ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(strip,[],[query48]) ).

fof(negate_0_0,plain,
    ~ ? [ARG2] :
        ( mtvisible(c_tptpgeo_spindlecollectormt)
       => borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    inference(canonicalize,[],[just1]) ).

fof(normalize_0_1,plain,
    ! [GENLMT,SPECMT] :
      ( ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT)
      | mtvisible(GENLMT) ),
    inference(canonicalize,[],[just31]) ).

fof(normalize_0_2,plain,
    ! [GENLMT,SPECMT] :
      ( ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT)
      | mtvisible(GENLMT) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
    & ! [ARG2] : ~ borderson(c_georegion_l4_x45_y9,ARG2) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_4,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
    | borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    inference(canonicalize,[],[just2]) ).

fof(normalize_0_6,plain,
    ! [ARG2] : ~ borderson(c_georegion_l4_x45_y9,ARG2),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_7,plain,
    ! [ARG2] : ~ borderson(c_georegion_l4_x45_y9,ARG2),
    inference(specialize,[],[normalize_0_6]) ).

cnf(refute_0_0,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ genlmt(SPECMT,GENLMT)
    | ~ mtvisible(SPECMT)
    | mtvisible(GENLMT) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_2,plain,
    ( ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt)
    | ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | mtvisible(c_tptpgeo_member1_mt) ),
    inference(subst,[],[refute_0_1:[bind(GENLMT,$fot(c_tptpgeo_member1_mt)),bind(SPECMT,$fot(c_tptpgeo_spindlecollectormt))]]) ).

cnf(refute_0_3,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | mtvisible(c_tptpgeo_member1_mt) ),
    inference(resolve,[$cnf( genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member1_mt) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_5,plain,
    mtvisible(c_tptpgeo_member1_mt),
    inference(resolve,[$cnf( mtvisible(c_tptpgeo_spindlecollectormt) )],[refute_0_4,refute_0_3]) ).

cnf(refute_0_6,plain,
    ( ~ mtvisible(c_tptpgeo_member1_mt)
    | borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_7,plain,
    ~ borderson(c_georegion_l4_x45_y9,ARG2),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_8,plain,
    ~ borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10),
    inference(subst,[],[refute_0_7:[bind(ARG2,$fot(c_georegion_l4_x45_y10))]]) ).

cnf(refute_0_9,plain,
    ~ mtvisible(c_tptpgeo_member1_mt),
    inference(resolve,[$cnf( borderson(c_georegion_l4_x45_y9,c_georegion_l4_x45_y10) )],[refute_0_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( mtvisible(c_tptpgeo_member1_mt) )],[refute_0_5,refute_0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR048+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n028.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 : Fri Jun 10 22:47:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------