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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR074+2 : 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 09:44:57 AM UTC 2026

% Result   : Theorem 0.21s 0.32s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   56 (  18 unt;   3 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   85 (  36   ~;  33   |;   5   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   29 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f63,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_63) ).

fof(f82,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_82) ).

fof(f128,axiom,
    ! [X0,X1] :
      ( geographicalsubregions(X0,X1)
     => inregion(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_128) ).

fof(f326,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_326) ).

fof(f472,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_472) ).

fof(f478,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_478) ).

fof(f933,axiom,
    ! [X0,X1,X2] :
      ( ( inregion(X0,X1)
        & inregion(X1,X2) )
     => inregion(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_933) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
      & geolevel_3(c_georegion_l3_x17_y24) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query124) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
        & geolevel_3(c_georegion_l3_x17_y24) ) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1266,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f1288,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f1449,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f472]) ).

fof(f1452,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(ennf_transformation,[],[f478]) ).

fof(f1831,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X0,X1)
      | ~ inregion(X1,X2) ),
    inference(ennf_transformation,[],[f933]) ).

fof(f1832,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X0,X1)
      | ~ inregion(X1,X2) ),
    inference(flattening,[],[f1831]) ).

fof(f2012,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f2012]) ).

fof(f2022,plain,
    ( ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
      | ~ geolevel_3(c_georegion_l3_x17_y24) )
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2085,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f63]) ).

fof(f2103,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f1266]) ).

fof(f2149,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[],[f1288]) ).

fof(f2346,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f326]) ).

fof(f2492,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[],[f1449]) ).

fof(f2498,plain,
    ( geolevel_3(c_georegion_l3_x17_y24)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[],[f1452]) ).

fof(f2885,plain,
    ! [X2,X0,X1] :
      ( ~ inregion(X0,X1)
      | inregion(X0,X2)
      | ~ inregion(X1,X2) ),
    inference(cnf_transformation,[],[f1832]) ).

fof(f3053,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f2013]) ).

fof(f3062,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ geolevel_3(c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3065,definition,
    ( spl0_1
  <=> geolevel_3(c_georegion_l3_x17_y24) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f3069,definition,
    ( spl0_2
  <=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f3071,plain,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f3069]) ).

fof(f3072,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3063,f3069,f3065]) ).

fof(f3097,definition,
    ( spl0_8
  <=> mtvisible(c_worldgeographymt) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f3099,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f3097]) ).

fof(f3100,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(avatar_split_clause,[],[f2498,f3065,f3097]) ).

fof(f3101,plain,
    geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
    inference(forward_subsumption_resolution,[],[f2492,f3062]) ).

fof(f3343,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
    inference(forward_subsumption_resolution,[],[f2103,f3062]) ).

fof(f4320,plain,
    inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24),
    inference(resolution,[],[f2149,f3101]) ).

fof(f4599,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_member7_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f3053,f3062]) ).

fof(f4772,plain,
    ! [X0] :
      ( ~ inregion(c_georegion_l4_x53_y74,X0)
      | inregion(c_geolocation_x53_y74,X0) ),
    inference(resolution,[],[f2885,f3343]) ).

fof(f5714,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(resolution,[],[f4599,f2085]) ).

fof(f5715,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_spindleheadmt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f5714,f3053]) ).

fof(f5717,plain,
    inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
    inference(resolution,[],[f4772,f4320]) ).

fof(f5718,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f5717,f3071]) ).

fof(f5719,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f5718]) ).

fof(f5801,plain,
    mtvisible(c_worldgeographymt),
    inference(resolution,[],[f5715,f2346]) ).

fof(f5802,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f5801,f3099]) ).

fof(f5803,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f5802]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f3072]) ).

cnf(s5,plain,
    ( spl0_1
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f3100]) ).

cnf(s49,plain,
    spl0_2,
    inference(sat_conversion,[],[f5719]) ).

cnf(s50,plain,
    spl0_8,
    inference(sat_conversion,[],[f5803]) ).

cnf(s55,plain,
    spl0_1,
    inference(rat,[],[s5,s50]) ).

cnf(s56,plain,
    $false,
    inference(rat,[],[s1,s49,s55]) ).

fof(f5804,plain,
    $false,
    inference(avatar_sat_refutation,[],[s56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR074+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n012.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 22:25:04 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  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
% 0.21/0.32  % (3863288)Will run a generic schedule for satisfiability detection.
% 0.21/0.32  % (3863294)% WARNING: option uhcvi not known.
% 0.21/0.32  % (3863299)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=403970398:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.32  % (3863298)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3689277549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.32  % (3863293)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4219924591_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.32  % (3863295)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3035089221:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.32  % (3863297)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3080589228:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.32  % (3863296)dis+10_1_sil=32000:sp=arity:random_seed=3490129916:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.32  % (3863294)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1795645616:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.32  % TRYING [1]
% 0.21/0.32  % TRYING [2]
% 0.21/0.32  % TRYING [3]
% 0.21/0.32  % (3863298) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3863288-3863298"...
% 0.21/0.32  % (3863298)...printing done.
% 0.21/0.32  % (3863298)Refutation found. Thanks to Tanya!
% 0.21/0.32  % SZS status Theorem for theBenchmark
% 0.21/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32  % (3863298)------------------------------
% 0.21/0.32  % (3863298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32  % (3863298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32  % (3863298)CaDiCaL version: 2.1.3
% 0.21/0.32  % (3863298)Termination reason: Refutation
% 0.21/0.32  % (3863298)Time elapsed: 0.041 s
% 0.21/0.32  % (3863298)Peak memory usage: 15 MB
% 0.21/0.32  % (3863298)Instructions burned: 80 (million)
% 0.21/0.33  % (3863288)Success in time 0.102 s
% 0.21/0.33  % Vampire exiting
%------------------------------------------------------------------------------