TSTP Solution File: CSR029+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Sun May  5 04:56:56 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   58 (   7 unt;   0 def)
%            Number of atoms       :  128 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  118 (  48   ~;  46   |;   7   &)
%                                         (   7 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f282,plain,
    $false,
    inference(avatar_sat_refutation,[],[f215,f220,f229,f231,f236,f250,f253,f281]) ).

fof(f281,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f279]) ).

fof(f279,plain,
    ( $false
    | spl0_3
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f278,f228]) ).

fof(f228,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl0_5
  <=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f278,plain,
    ( ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | spl0_3
    | ~ spl0_6 ),
    inference(resolution,[],[f272,f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,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(f272,plain,
    ( ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
    | spl0_3
    | ~ spl0_6 ),
    inference(resolution,[],[f269,f235]) ).

fof(f235,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_6
  <=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f269,plain,
    ( ! [X0] :
        ( ~ inregion(X0,c_georegion_l3_x4_y13)
        | ~ inregion(c_geolocation_x14_y39,X0) )
    | spl0_3 ),
    inference(resolution,[],[f203,f219]) ).

fof(f219,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl0_3
  <=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f203,plain,
    ! [X2,X0,X1] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(flattening,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ( inregion(X1,X2)
        & inregion(X0,X1) )
     => inregion(X0,X2) ),
    inference(rectify,[],[f41]) ).

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

fof(f253,plain,
    ( ~ spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f245,f247,f222]) ).

fof(f222,plain,
    ( spl0_4
  <=> mtvisible(c_tptpgeo_member3_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f247,plain,
    ( spl0_7
  <=> mtvisible(c_tptpgeo_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f245,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(resolution,[],[f198,f170]) ).

fof(f170,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(f198,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f49]) ).

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

fof(f250,plain,
    ( ~ spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f244,f208,f247]) ).

fof(f208,plain,
    ( spl0_1
  <=> mtvisible(c_worldgeographymt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f244,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[],[f198,f167]) ).

fof(f167,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(f236,plain,
    ( ~ spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f173,f233,f222]) ).

fof(f173,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    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) ).

fof(f231,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f230]) ).

fof(f230,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f224,f159]) ).

fof(f159,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,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(f224,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f229,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f172,f226,f222]) ).

fof(f172,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,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(f220,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f160,f212,f217]) ).

fof(f212,plain,
    ( spl0_2
  <=> geolevel_3(c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f160,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f215,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f171,f212,f208]) ).

fof(f171,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:16:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (22658)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (22662)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (22659)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (22664)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  % (22665)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (22661)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37  % (22660)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  Detected minimum model sizes of [1]
% 0.13/0.37  Detected maximum model sizes of [14]
% 0.13/0.37  Detected minimum model sizes of [1]
% 0.13/0.37  Detected maximum model sizes of [14]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  Detected maximum model sizes of [max,2,3,max,max,max,max,max,max,max,max]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [2,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [3,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  Detected maximum model sizes of [max,2,3,max,max,max,max,max,max,max,max]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  % (22661)First to succeed.
% 0.13/0.37  TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [2,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [2,1,2,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [3,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  % (22661)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22658"
% 0.13/0.37  TRYING [3,1,2,1,1,1,1,1,1,1,1]
% 0.13/0.37  % (22664)Also succeeded, but the first one will report.
% 0.13/0.37  TRYING [2,1,2,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [4]
% 0.13/0.37  TRYING [4,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.37  TRYING [4]
% 0.13/0.37  % (22663)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  TRYING [3,1,2,1,1,1,1,1,1,1,1]
% 0.13/0.37  % (22661)Refutation found. Thanks to Tanya!
% 0.13/0.37  % SZS status Theorem for theBenchmark
% 0.13/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37  % (22661)------------------------------
% 0.13/0.37  % (22661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37  % (22661)Termination reason: Refutation
% 0.13/0.37  
% 0.13/0.37  % (22661)Memory used [KB]: 861
% 0.13/0.37  % (22661)Time elapsed: 0.004 s
% 0.13/0.37  % (22661)Instructions burned: 6 (million)
% 0.13/0.37  % (22658)Success in time 0.007 s
%------------------------------------------------------------------------------