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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR057+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 09:44:45 AM UTC 2026

% Result   : Theorem 0.08s 0.16s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   57 (  18 unt;   2 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   89 (  45   ~;  31   |;   2   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :   38 (   0 sgn  36   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_4(c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f29,axiom,
    ! [X0] :
      ( geolevel_4(X0)
     => geographicalregion(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

fof(f30,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

fof(f31,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

fof(f34,axiom,
    ! [X0] :
      ( enduringthing_localized(X0)
     => spatialthing_nonsituational(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

fof(f36,axiom,
    ! [X0] :
      ( partiallytangible(X0)
     => enduringthing_localized(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).

fof(f40,axiom,
    ! [X0] :
      ( geographicalregion(X0)
     => partiallytangible(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

fof(f84,axiom,
    ! [X0] :
      ( spatialthing_nonsituational(X0)
     => inregion(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just84) ).

fof(f93,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just93) ).

fof(f102,conjecture,
    ? [X0] :
      ( mtvisible(c_tptpgeo_member8_mt)
     => inregion(X0,c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox2/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(f120,plain,
    ! [X0] :
      ( geographicalregion(X0)
      | ~ geolevel_4(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f121,plain,
    ! [X0] :
      ( spatialthing_nonsituational(X0)
      | ~ enduringthing_localized(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f122,plain,
    ! [X0] :
      ( enduringthing_localized(X0)
      | ~ partiallytangible(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f123,plain,
    ! [X0] :
      ( partiallytangible(X0)
      | ~ geographicalregion(X0) ),
    inference(ennf_transformation,[],[f40]) ).

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

fof(f220,plain,
    ! [X0] :
      ( geographicalregion(X0)
      | ~ geolevel_4(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f221,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f30]) ).

fof(f222,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f31]) ).

fof(f225,plain,
    ! [X0] :
      ( spatialthing_nonsituational(X0)
      | ~ enduringthing_localized(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f227,plain,
    ! [X0] :
      ( enduringthing_localized(X0)
      | ~ partiallytangible(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f231,plain,
    ! [X0] :
      ( partiallytangible(X0)
      | ~ geographicalregion(X0) ),
    inference(cnf_transformation,[],[f123]) ).

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(f294,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | mtvisible(c_worldgeographymt) ),
    inference(consistent_polarity_flipping,[],[f201]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ spatialthing_nonsituational(X0)
      | enduringthing_localized(X0) ),
    inference(consistent_polarity_flipping,[],[f225]) ).

fof(f302,plain,
    ! [X0] :
      ( ~ partiallytangible(X0)
      | ~ enduringthing_localized(X0) ),
    inference(consistent_polarity_flipping,[],[f227]) ).

fof(f323,plain,
    ! [X0] :
      ( spatialthing_nonsituational(X0)
      | ~ inregion(X0,X0) ),
    inference(consistent_polarity_flipping,[],[f273]) ).

fof(f330,plain,
    ! [X0,X1] :
      ( mtvisible(X0)
      | ~ mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f280]) ).

fof(f332,plain,
    ! [X0] : inregion(X0,c_georegion_l4_x75_y75),
    inference(consistent_polarity_flipping,[],[f290]) ).

fof(f333,plain,
    ~ mtvisible(c_tptpgeo_member8_mt),
    inference(consistent_polarity_flipping,[],[f289]) ).

fof(f335,definition,
    ( spl0_1
  <=> mtvisible(c_worldgeographymt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_2
  <=> geolevel_4(c_georegion_l4_x75_y75) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f343,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f294,f339,f335]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ enduringthing_localized(X0)
      | ~ geographicalregion(X0) ),
    inference(resolution,[],[f302,f231]) ).

fof(f349,plain,
    ! [X0] :
      ( enduringthing_localized(X0)
      | ~ inregion(X0,X0) ),
    inference(resolution,[],[f323,f301]) ).

fof(f353,plain,
    ! [X0] :
      ( ~ inregion(X0,X0)
      | ~ geographicalregion(X0) ),
    inference(resolution,[],[f349,f344]) ).

fof(f358,plain,
    ~ geographicalregion(c_georegion_l4_x75_y75),
    inference(resolution,[],[f353,f332]) ).

fof(f362,plain,
    ~ geolevel_4(c_georegion_l4_x75_y75),
    inference(resolution,[],[f358,f220]) ).

fof(f363,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f362,f339]) ).

fof(f369,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_member8_mt,X0)
      | ~ mtvisible(X0) ),
    inference(resolution,[],[f330,f333]) ).

fof(f370,plain,
    ~ mtvisible(c_tptpgeo_spindleheadmt),
    inference(resolution,[],[f369,f221]) ).

fof(f372,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_spindleheadmt,X0)
      | ~ mtvisible(X0) ),
    inference(resolution,[],[f370,f330]) ).

fof(f373,plain,
    ~ mtvisible(c_worldgeographymt),
    inference(resolution,[],[f372,f222]) ).

fof(f375,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f373,f335]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f363]) ).

cnf(s4,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f375]) ).

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

fof(f376,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR057+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 22:19:04 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12  Running first-order model finding
% 0.08/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16  % (3856995)Will run a generic schedule for satisfiability detection.
% 0.08/0.16  % (3857001)% WARNING: option uhcvi not known.
% 0.08/0.16  % (3857004)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3970141916:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16  % (3857003)dis+10_1_sil=32000:sp=arity:random_seed=2914475651:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16  % (3857000)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4150293087_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16  % (3857006)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=247096702:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16  % (3857002)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=298711693:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16  % (3857001)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=694500014:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16  % (3857005)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=363243098:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16  % Detected minimum model sizes of [1]
% 0.08/0.16  % Detected maximum model sizes of [16]
% 0.08/0.16  % TRYING [1]
% 0.08/0.16  % (3857006) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856995-3857006"...
% 0.08/0.16  % TRYING [2]
% 0.08/0.16  % (3857005) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856995-3857005"...
% 0.08/0.16  % (3857003) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856995-3857003"...
% 0.08/0.16  % TRYING [3]
% 0.08/0.16  % (3857004) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3856995-3857004"...
% 0.08/0.16  % TRYING [4]
% 0.08/0.16  % (3857006)...printing done.
% 0.08/0.16  % (3857003)...printing done.
% 0.08/0.16  % (3857005)...printing done.
% 0.08/0.16  % (3857004)...printing done.
% 0.08/0.16  % (3857006)Refutation found. Thanks to Tanya!
% 0.08/0.16  % SZS status Theorem for theBenchmark
% 0.08/0.16  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16  % (3857006)------------------------------
% 0.08/0.16  % (3857006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16  % (3857006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16  % (3857006)CaDiCaL version: 2.1.3
% 0.08/0.16  % (3857006)Termination reason: Refutation
% 0.08/0.16  % (3857006)Time elapsed: 0.002 s
% 0.08/0.16  % (3857006)Peak memory usage: 12 MB
% 0.08/0.16  % (3857006)Instructions burned: 4 (million)
% 0.08/0.16  % (3856995)Success in time 0.031 s
% 0.08/0.16  % Vampire exiting
%------------------------------------------------------------------------------