TSTP Solution File: CSR029+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CSR029+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n010.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  : 300s
% DateTime : Wed Aug 31 15:58:37 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   57 (   7 unt;   0 def)
%            Number of atoms       :  125 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  116 (  48   ~;  45   |;   7   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f324,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f236,f241,f246,f247,f296,f323]) ).

fof(f323,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f322,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f319,f226]) ).

fof(f226,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_2
  <=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f319,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ spl0_5
    | spl0_6 ),
    inference(resolution,[],[f306,f274]) ).

fof(f274,plain,
    ( inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_5 ),
    inference(resolution,[],[f212,f240]) ).

fof(f240,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_5
  <=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( geographicalsubregions(X0,X1)
     => inregion(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

fof(f306,plain,
    ( ! [X14] :
        ( ~ inregion(c_geolocation_x14_y39,X14)
        | ~ inregion(X14,c_georegion_l3_x4_y13) )
    | spl0_6 ),
    inference(resolution,[],[f178,f245]) ).

fof(f245,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_6
  <=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( ~ inregion(X1,X2)
      | inregion(X0,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X2,X1,X0] :
      ( inregion(X0,X2)
      | ~ inregion(X0,X1)
      | ~ inregion(X1,X2) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X2,X1,X0] :
      ( ( inregion(X0,X1)
        & inregion(X1,X2) )
     => inregion(X0,X2) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X9,X10,X11] :
      ( ( inregion(X9,X10)
        & inregion(X10,X11) )
     => inregion(X9,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

fof(f296,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f295,f220,f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> mtvisible(c_worldgeographymt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f220,plain,
    ( spl0_1
  <=> mtvisible(c_tptpgeo_member3_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f295,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f284,f286]) ).

fof(f286,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f285,f221]) ).

fof(f221,plain,
    ( mtvisible(c_tptpgeo_member3_mt)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f285,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(resolution,[],[f196,f188]) ).

fof(f188,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f150]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f49]) ).

fof(f49,axiom,
    ! [X14,X15] :
      ( ( mtvisible(X14)
        & genlmt(X14,X15) )
     => mtvisible(X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).

fof(f284,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[],[f196,f211]) ).

fof(f211,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

fof(f247,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f207,f220]) ).

fof(f207,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( ( ~ geolevel_3(c_georegion_l3_x4_y13)
      | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )
    & mtvisible(c_tptpgeo_member3_mt) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( geolevel_3(c_georegion_l3_x4_y13)
        & inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
   => ( geolevel_3(c_georegion_l3_x4_y13)
      & inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query29) ).

fof(f246,plain,
    ( ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f208,f229,f243]) ).

fof(f229,plain,
    ( spl0_3
  <=> geolevel_3(c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f208,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f241,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f214,f220,f238]) ).

fof(f214,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(f236,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f183,f233,f229]) ).

fof(f183,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x4_y13) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(f227,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f224,f220]) ).

fof(f202,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : CSR029+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 17:39:14 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.48  % (24208)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.49  % (24208)First to succeed.
% 0.19/0.49  % (24224)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49  % (24208)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (24208)------------------------------
% 0.19/0.49  % (24208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (24208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (24208)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (24208)Memory used [KB]: 5500
% 0.19/0.49  % (24208)Time elapsed: 0.098 s
% 0.19/0.49  % (24208)Instructions burned: 5 (million)
% 0.19/0.49  % (24208)------------------------------
% 0.19/0.49  % (24208)------------------------------
% 0.19/0.49  % (24202)Success in time 0.152 s
%------------------------------------------------------------------------------