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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR057+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:42:25 AM UTC 2026

% Result   : Theorem 5.00s 1.65s
% Output   : Refutation 5.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   54 (  13 unt;   2 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   90 (  41   ~;  36   |;   2   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   34 (   0 sgn  32   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(f7,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f10,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_4(c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

fof(f12,axiom,
    ! [X0] :
      ( geolevel_4(X0)
     => geographicalregion(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(f17,axiom,
    ! [X0] :
      ( enduringthing_localized(X0)
     => spatialthing_nonsituational(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

fof(f19,axiom,
    ! [X0] :
      ( partiallytangible(X0)
     => enduringthing_localized(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

fof(f23,axiom,
    ! [X0] :
      ( geographicalregion(X0)
     => partiallytangible(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

fof(f84,axiom,
    ! [X0] :
      ( spatialthing_nonsituational(X0)
     => inregion(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just84) ).

fof(f93,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just93) ).

fof(f102,conjecture,
    ? [X0] :
      ( mtvisible(c_tptpgeo_member8_mt)
     => inregion(X0,c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query57) ).

fof(f103,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptpgeo_member8_mt)
       => inregion(X0,c_georegion_l4_x75_y75) ),
    inference(negated_conjecture,[status(cth)],[f102]) ).

fof(f111,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f112,plain,
    ! [X0] :
      ( geographicalregion(X0)
      | ~ geolevel_4(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f113,plain,
    ! [X0] :
      ( spatialthing_nonsituational(X0)
      | ~ enduringthing_localized(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f114,plain,
    ! [X0] :
      ( enduringthing_localized(X0)
      | ~ partiallytangible(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f115,plain,
    ! [X0] :
      ( partiallytangible(X0)
      | ~ geographicalregion(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f174,plain,
    ! [X0] :
      ( inregion(X0,X0)
      | ~ spatialthing_nonsituational(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f181]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l4_x75_y75)
      & mtvisible(c_tptpgeo_member8_mt) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f197,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f7]) ).

fof(f201,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f203,plain,
    ! [X0] :
      ( geographicalregion(X0)
      | ~ geolevel_4(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ enduringthing_localized(X0)
      | spatialthing_nonsituational(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ partiallytangible(X0)
      | enduringthing_localized(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f214,plain,
    ! [X0] :
      ( partiallytangible(X0)
      | ~ geographicalregion(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f273,plain,
    ! [X0] :
      ( inregion(X0,X0)
      | ~ spatialthing_nonsituational(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f289,plain,
    mtvisible(c_tptpgeo_member8_mt),
    inference(cnf_transformation,[],[f191]) ).

fof(f290,plain,
    ! [X0] : ~ inregion(X0,c_georegion_l4_x75_y75),
    inference(cnf_transformation,[],[f191]) ).

fof(f292,definition,
    ( spl0_1
  <=> mtvisible(c_worldgeographymt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f293,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f295,definition,
    ( spl0_2
  <=> geolevel_4(c_georegion_l4_x75_y75) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f296,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f298,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f201,f295,f292]) ).

fof(f299,plain,
    ! [X0] :
      ( enduringthing_localized(X0)
      | ~ geographicalregion(X0) ),
    inference(resolution,[],[f214,f210]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ geographicalregion(X0)
      | spatialthing_nonsituational(X0) ),
    inference(resolution,[],[f299,f208]) ).

fof(f304,plain,
    ! [X0] :
      ( ~ geolevel_4(X0)
      | spatialthing_nonsituational(X0) ),
    inference(resolution,[],[f301,f203]) ).

fof(f322,plain,
    ~ spatialthing_nonsituational(c_georegion_l4_x75_y75),
    inference(resolution,[],[f273,f290]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ mtvisible(X0)
        | ~ genlmt(X0,c_worldgeographymt) )
    | spl0_1 ),
    inference(resolution,[],[f280,f293]) ).

fof(f334,plain,
    ( ! [X0,X1] :
        ( ~ mtvisible(X1)
        | ~ genlmt(X0,c_worldgeographymt)
        | ~ genlmt(X1,X0) )
    | spl0_1 ),
    inference(resolution,[],[f333,f280]) ).

fof(f341,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_worldgeographymt)
        | ~ genlmt(c_tptpgeo_member8_mt,X0) )
    | spl0_1 ),
    inference(resolution,[],[f334,f289]) ).

fof(f342,plain,
    ( ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
    | spl0_1 ),
    inference(resolution,[],[f341,f198]) ).

fof(f344,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f342,f197]) ).

fof(f345,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f347,plain,
    ( spatialthing_nonsituational(c_georegion_l4_x75_y75)
    | ~ spl0_2 ),
    inference(resolution,[],[f296,f304]) ).

fof(f348,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f347,f322]) ).

fof(f350,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f348]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f345]) ).

cnf(s4,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f350]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s2,s4,s3]) ).

fof(f351,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR057+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.23  % Computer : n006.cluster.edu
% 0.12/0.23  % Model    : x86_64 x86_64
% 0.12/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.23  % Memory   : 8046.5625MB
% 0.12/0.23  % OS       : Linux 6.8.0-71-generic
% 0.12/0.23  % CPULimit : 300
% 0.12/0.23  % WCLimit  : 300
% 0.12/0.23  % DateTime : Mon Sep 28 22:19:10 UTC 2026
% 0.12/0.24  % CPUTime  : 
% 0.12/0.24  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.30  Running first-order theorem proving
% 0.26/0.30  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.00/1.65  % (275619)Detected formulas, will run a generic FOF schedule.
% 5.00/1.65  % (275624)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2008993017:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.00/1.65  % (275630)dis-21_1_sil=8000:lcm=predicate:random_seed=260726273:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.00/1.65  % (275630)First to succeed.
% 5.00/1.65  % (275630)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-275619"
% 5.00/1.65  % (275625)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=814123484:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.00/1.65  % (275629)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1225508034:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.00/1.65  % (275628)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1121505961:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.00/1.65  % (275626)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3264949363:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.00/1.65  % (275627)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1845772542:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.00/1.65  % (275627)Refutation not found, incomplete strategy
% 5.00/1.65  % (275627)------------------------------
% 5.00/1.65  % (275627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65  % (275627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65  % (275627)CaDiCaL version: 2.1.3
% 5.00/1.65  % (275627)Termination reason: Refutation not found, incomplete strategy
% 5.00/1.65  % (275627)Time elapsed: 0.001 s
% 5.00/1.65  % (275627)Peak memory usage: 87 MB
% 5.00/1.65  % (275628)Also succeeded, but the first one will report.
% 5.00/1.65  % (275629)Also succeeded, but the first one will report.
% 5.00/1.65  % (275630)Refutation found. Thanks to Tanya!
% 5.00/1.65  % SZS status Theorem for theBenchmark
% 5.00/1.65  % SZS output start Proof for theBenchmark
% See solution above
% 5.00/1.65  % (275630)------------------------------
% 5.00/1.65  % (275630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.65  % (275630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.65  % (275630)CaDiCaL version: 2.1.3
% 5.00/1.65  % (275630)Termination reason: Refutation
% 5.00/1.65  % (275630)Time elapsed: 0.004 s
% 5.00/1.65  % (275630)Peak memory usage: 89 MB
% 5.00/1.65  % (275630)Instructions burned: 4 (million)
% 5.00/1.65  % (275630)------------------------------
% 5.00/1.65  % (275630)------------------------------
% 5.00/1.65  % (275619)Success in time 0.587 s
% 5.00/1.65  % Vampire exiting
%------------------------------------------------------------------------------