TSTP Solution File: CSR029+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CSR029+2 : 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_uns --cores 0 -t %d %s

% Computer : n017.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 15:54:17 EDT 2022

% Result   : Theorem 1.47s 0.60s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   62 (   7 unt;   0 def)
%            Number of atoms       :  137 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  128 (  53   ~;  50   |;   7   &)
%                                         (   7 <=>;  11  =>;   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   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1232,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1178,f1187,f1192,f1197,f1198,f1215,f1216,f1231]) ).

fof(f1231,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f1229,f1177]) ).

fof(f1177,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1175]) ).

fof(f1175,plain,
    ( spl0_2
  <=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1229,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(resolution,[],[f1227,f1199]) ).

fof(f1199,plain,
    ( inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_5 ),
    inference(resolution,[],[f1164,f1191]) ).

fof(f1191,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1189]) ).

fof(f1189,plain,
    ( spl0_5
  <=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1164,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X1,X0)
      | inregion(X0,X1) ),
    inference(cnf_transformation,[],[f1153]) ).

fof(f1153,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X1,X0)
      | inregion(X0,X1) ),
    inference(rectify,[],[f1147]) ).

fof(f1147,plain,
    ! [X1,X0] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ! [X1,X0] :
      ( geographicalsubregions(X0,X1)
     => inregion(X1,X0) ),
    inference(rectify,[],[f128]) ).

fof(f128,axiom,
    ! [X4,X5] :
      ( geographicalsubregions(X4,X5)
     => inregion(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_128) ).

fof(f1227,plain,
    ( ! [X0] :
        ( ~ inregion(c_georegion_l4_x14_y39,X0)
        | inregion(c_geolocation_x14_y39,X0) )
    | ~ spl0_4 ),
    inference(resolution,[],[f1168,f1186]) ).

fof(f1186,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1184,plain,
    ( spl0_4
  <=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1168,plain,
    ! [X2,X0,X1] :
      ( ~ inregion(X1,X0)
      | ~ inregion(X0,X2)
      | inregion(X1,X2) ),
    inference(cnf_transformation,[],[f1156]) ).

fof(f1156,plain,
    ! [X0,X1,X2] :
      ( inregion(X1,X2)
      | ~ inregion(X1,X0)
      | ~ inregion(X0,X2) ),
    inference(rectify,[],[f1151]) ).

fof(f1151,plain,
    ! [X0,X2,X1] :
      ( inregion(X2,X1)
      | ~ inregion(X2,X0)
      | ~ inregion(X0,X1) ),
    inference(flattening,[],[f1150]) ).

fof(f1150,plain,
    ! [X0,X2,X1] :
      ( inregion(X2,X1)
      | ~ inregion(X0,X1)
      | ~ inregion(X2,X0) ),
    inference(ennf_transformation,[],[f1135]) ).

fof(f1135,plain,
    ! [X0,X2,X1] :
      ( ( inregion(X0,X1)
        & inregion(X2,X0) )
     => inregion(X2,X1) ),
    inference(rectify,[],[f933]) ).

fof(f933,axiom,
    ! [X13,X18,X12] :
      ( ( inregion(X13,X18)
        & inregion(X12,X13) )
     => inregion(X12,X18) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_933) ).

fof(f1216,plain,
    ( ~ spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f1202,f1194,f1208]) ).

fof(f1208,plain,
    ( spl0_8
  <=> mtvisible(c_tptpgeo_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1194,plain,
    ( spl0_6
  <=> mtvisible(c_worldgeographymt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1202,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[],[f1165,f1166]) ).

fof(f1166,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_326) ).

fof(f1165,plain,
    ! [X0,X1] :
      ( ~ genlmt(X1,X0)
      | ~ mtvisible(X1)
      | mtvisible(X0) ),
    inference(cnf_transformation,[],[f1154]) ).

fof(f1154,plain,
    ! [X0,X1] :
      ( ~ genlmt(X1,X0)
      | mtvisible(X0)
      | ~ mtvisible(X1) ),
    inference(rectify,[],[f1140]) ).

fof(f1140,plain,
    ! [X1,X0] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f1139]) ).

fof(f1139,plain,
    ! [X1,X0] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f1136]) ).

fof(f1136,plain,
    ! [X1,X0] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f1123]) ).

fof(f1123,axiom,
    ! [X19,X20] :
      ( ( genlmt(X19,X20)
        & mtvisible(X19) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).

fof(f1215,plain,
    ( spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f1214,f1180,f1208]) ).

fof(f1180,plain,
    ( spl0_3
  <=> mtvisible(c_tptpgeo_member3_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1214,plain,
    ( mtvisible(c_tptpgeo_spindleheadmt)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1200,f1181]) ).

fof(f1181,plain,
    ( mtvisible(c_tptpgeo_member3_mt)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f1180]) ).

fof(f1200,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[],[f1165,f1157]) ).

fof(f1157,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,axiom,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_212) ).

fof(f1198,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f1160,f1180]) ).

fof(f1160,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[],[f1148]) ).

fof(f1148,plain,
    ( ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
      | ~ geolevel_3(c_georegion_l3_x4_y13) )
    & mtvisible(c_tptpgeo_member3_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member3_mt)
     => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
        & geolevel_3(c_georegion_l3_x4_y13) ) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member3_mt)
   => ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
      & geolevel_3(c_georegion_l3_x4_y13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query79) ).

fof(f1197,plain,
    ( spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1158,f1194,f1171]) ).

fof(f1171,plain,
    ( spl0_1
  <=> geolevel_3(c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1158,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1141,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_121) ).

fof(f1192,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1169,f1189,f1180]) ).

fof(f1169,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f1149]) ).

fof(f1149,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    inference(ennf_transformation,[],[f337]) ).

fof(f337,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_337) ).

fof(f1187,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1159,f1184,f1180]) ).

fof(f1159,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f1146]) ).

fof(f1146,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f282,axiom,
    ( mtvisible(c_tptpgeo_member3_mt)
   => inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_282) ).

fof(f1178,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1161,f1175,f1171]) ).

fof(f1161,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ geolevel_3(c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f1148]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR029+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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   : Mon Aug 29 17:10:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.56  % (5890)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.57  % (5906)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.58  % (5890)First to succeed.
% 0.21/0.58  % (5907)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.58  % (5899)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58  % (5898)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.59  % (5891)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.60  % (5890)Refutation found. Thanks to Tanya!
% 1.47/0.60  % SZS status Theorem for theBenchmark
% 1.47/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.60  % (5890)------------------------------
% 1.47/0.60  % (5890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60  % (5890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60  % (5890)Termination reason: Refutation
% 1.47/0.60  
% 1.47/0.60  % (5890)Memory used [KB]: 7164
% 1.47/0.60  % (5890)Time elapsed: 0.118 s
% 1.47/0.60  % (5890)Instructions burned: 9 (million)
% 1.47/0.60  % (5890)------------------------------
% 1.47/0.60  % (5890)------------------------------
% 1.47/0.60  % (5882)Success in time 0.242 s
%------------------------------------------------------------------------------