TSTP Solution File: CSR029+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR029+2 : 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 : n011.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 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   63 (   8 unt;   0 def)
%            Number of atoms       :  141 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  131 (  53   ~;  50   |;   9   &)
%                                         (   6 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9876,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3734,f3856,f3880,f3982,f4067,f8064,f9875]) ).

fof(f9875,plain,
    ( ~ spl0_28
    | spl0_51 ),
    inference(avatar_contradiction_clause,[],[f9874]) ).

fof(f9874,plain,
    ( $false
    | ~ spl0_28
    | spl0_51 ),
    inference(subsumption_resolution,[],[f9870,f3961]) ).

fof(f3961,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f3959]) ).

fof(f3959,plain,
    ( spl0_51
  <=> mtvisible(c_worldgeographymt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f9870,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ spl0_28 ),
    inference(resolution,[],[f8189,f5941]) ).

fof(f5941,plain,
    ( ! [X0] :
        ( ~ genlmt(c_tptpgeo_member3_mt,X0)
        | mtvisible(X0) )
    | ~ spl0_28 ),
    inference(resolution,[],[f3679,f3850]) ).

fof(f3850,plain,
    ( mtvisible(c_tptpgeo_member3_mt)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f3849]) ).

fof(f3849,plain,
    ( spl0_28
  <=> mtvisible(c_tptpgeo_member3_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f3679,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f2611]) ).

fof(f2611,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f2610]) ).

fof(f2610,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f1716]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( ( 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/sandbox/benchmark/theBenchmark.p',ax1_1123) ).

fof(f8189,plain,
    genlmt(c_tptpgeo_member3_mt,c_worldgeographymt),
    inference(resolution,[],[f6053,f2780]) ).

fof(f2780,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f326]) ).

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

fof(f6053,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_spindleheadmt,X0)
      | genlmt(c_tptpgeo_member3_mt,X0) ),
    inference(resolution,[],[f3716,f2778]) ).

fof(f2778,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/sandbox/benchmark/theBenchmark.p',ax1_212) ).

fof(f3716,plain,
    ! [X2,X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ genlmt(X1,X2)
      | genlmt(X0,X2) ),
    inference(cnf_transformation,[],[f2671]) ).

fof(f2671,plain,
    ! [X0,X1,X2] :
      ( genlmt(X0,X2)
      | ~ genlmt(X1,X2)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f2670]) ).

fof(f2670,plain,
    ! [X0,X1,X2] :
      ( genlmt(X0,X2)
      | ~ genlmt(X1,X2)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1776]) ).

fof(f1776,plain,
    ! [X0,X1,X2] :
      ( ( genlmt(X1,X2)
        & genlmt(X0,X1) )
     => genlmt(X0,X2) ),
    inference(rectify,[],[f1128]) ).

fof(f1128,axiom,
    ! [X12,X13,X18] :
      ( ( genlmt(X13,X18)
        & genlmt(X12,X13) )
     => genlmt(X12,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1128) ).

fof(f8064,plain,
    ( spl0_1
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f8062,f3877,f3853,f3727]) ).

fof(f3727,plain,
    ( spl0_1
  <=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f3853,plain,
    ( spl0_29
  <=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f3877,plain,
    ( spl0_34
  <=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f8062,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(resolution,[],[f5954,f5913]) ).

fof(f5913,plain,
    ( inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
    | ~ spl0_34 ),
    inference(resolution,[],[f3660,f3879]) ).

fof(f3879,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f3877]) ).

fof(f3660,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[],[f2591]) ).

fof(f2591,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(ennf_transformation,[],[f1697]) ).

fof(f1697,plain,
    ! [X0,X1] :
      ( geographicalsubregions(X0,X1)
     => inregion(X1,X0) ),
    inference(rectify,[],[f128]) ).

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

fof(f5954,plain,
    ( ! [X0] :
        ( ~ inregion(c_georegion_l4_x14_y39,X0)
        | inregion(c_geolocation_x14_y39,X0) )
    | ~ spl0_29 ),
    inference(resolution,[],[f3698,f3855]) ).

fof(f3855,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f3853]) ).

fof(f3698,plain,
    ! [X2,X0,X1] :
      ( ~ inregion(X0,X1)
      | ~ inregion(X1,X2)
      | inregion(X0,X2) ),
    inference(cnf_transformation,[],[f2635]) ).

fof(f2635,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(flattening,[],[f2634]) ).

fof(f2634,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X1,X2)
      | ~ inregion(X0,X1) ),
    inference(ennf_transformation,[],[f1758]) ).

fof(f1758,plain,
    ! [X0,X1,X2] :
      ( ( inregion(X1,X2)
        & inregion(X0,X1) )
     => inregion(X0,X2) ),
    inference(rectify,[],[f933]) ).

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

fof(f4067,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f2685,f3849]) ).

fof(f2685,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[],[f1888]) ).

fof(f1888,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,[],[f1133]) ).

fof(f1133,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,[],[f1132]) ).

fof(f1132,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',query79) ).

fof(f3982,plain,
    ( ~ spl0_51
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2996,f3731,f3959]) ).

fof(f3731,plain,
    ( spl0_2
  <=> geolevel_3(c_georegion_l3_x4_y13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f2996,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[],[f1924]) ).

fof(f1924,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/sandbox/benchmark/theBenchmark.p',ax1_121) ).

fof(f3880,plain,
    ( ~ spl0_28
    | spl0_34 ),
    inference(avatar_split_clause,[],[f2978,f3877,f3849]) ).

fof(f2978,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f1906]) ).

fof(f1906,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    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/sandbox/benchmark/theBenchmark.p',ax1_337) ).

fof(f3856,plain,
    ( ~ spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f2974,f3853,f3849]) ).

fof(f2974,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f1902]) ).

fof(f1902,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/sandbox/benchmark/theBenchmark.p',ax1_282) ).

fof(f3734,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f2686,f3731,f3727]) ).

fof(f2686,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f1888]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CSR029+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:18:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (18861)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (18862)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.41  % (18863)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.41  % (18864)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)
% 0.22/0.41  % (18865)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.41  % (18866)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.41  % (18867)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.41  % (18868)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)
% 0.22/0.43  TRYING [1]
% 0.22/0.44  TRYING [1]
% 0.22/0.44  TRYING [2]
% 0.22/0.44  TRYING [2]
% 0.22/0.45  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.45  Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.22/0.45  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.45  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.45  Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.22/0.45  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.45  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.45  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.46  TRYING [3]
% 0.22/0.47  TRYING [3]
% 0.22/0.47  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.48  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.50  % (18867)First to succeed.
% 0.22/0.50  % (18867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18861"
% 0.22/0.51  % (18867)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Theorem for theBenchmark
% 0.22/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51  % (18867)------------------------------
% 0.22/0.51  % (18867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.51  % (18867)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (18867)Memory used [KB]: 3852
% 0.22/0.51  % (18867)Time elapsed: 0.095 s
% 0.22/0.51  % (18867)Instructions burned: 180 (million)
% 0.22/0.51  % (18861)Success in time 0.131 s
%------------------------------------------------------------------------------