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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR029+2 : 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 : n008.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 09:42:02 AM UTC 2026

% Result   : Theorem 2.69s 1.17s
% Output   : Refutation 2.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (  12 unt;   0 def)
%            Number of atoms       :   82 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   77 (  36   ~;  28   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x4_y13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_121) ).

fof(f128,axiom,
    ! [X0,X1] :
      ( geographicalsubregions(X0,X1)
     => inregion(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_128) ).

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

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

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(f933,axiom,
    ! [X0,X1,X2] :
      ( ( inregion(X0,X1)
        & inregion(X1,X2) )
     => inregion(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_933) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).

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/sandbox/benchmark/theBenchmark.p',query79) ).

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,[status(cth)],[f1132]) ).

fof(f1134,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(f1135,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f1136,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f1135]) ).

fof(f1137,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X0,X1)
      | ~ inregion(X1,X2) ),
    inference(ennf_transformation,[],[f933]) ).

fof(f1138,plain,
    ! [X0,X1,X2] :
      ( inregion(X0,X2)
      | ~ inregion(X0,X1)
      | ~ inregion(X1,X2) ),
    inference(flattening,[],[f1137]) ).

fof(f1139,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f1140,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f1141,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f1146,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(ennf_transformation,[],[f337]) ).

fof(f1147,plain,
    mtvisible(c_tptpgeo_member3_mt),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1148,plain,
    ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
    | ~ geolevel_3(c_georegion_l3_x4_y13) ),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1149,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f1136]) ).

fof(f1150,plain,
    ! [X2,X0,X1] :
      ( inregion(X0,X2)
      | ~ inregion(X0,X1)
      | ~ inregion(X1,X2) ),
    inference(cnf_transformation,[],[f1138]) ).

fof(f1151,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[],[f1139]) ).

fof(f1152,plain,
    ( geolevel_3(c_georegion_l3_x4_y13)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[],[f1140]) ).

fof(f1153,plain,
    genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f212]) ).

fof(f1154,plain,
    ( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f1141]) ).

fof(f1157,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f326]) ).

fof(f1159,plain,
    ( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
    | ~ mtvisible(c_tptpgeo_member3_mt) ),
    inference(cnf_transformation,[],[f1146]) ).

fof(f1160,plain,
    inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
    inference(forward_subsumption_resolution,[],[f1154,f1147]) ).

fof(f1161,plain,
    geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
    inference(forward_subsumption_resolution,[],[f1159,f1147]) ).

fof(f1163,plain,
    ( ~ mtvisible(c_tptpgeo_member3_mt)
    | mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[],[f1149,f1153]) ).

fof(f1164,plain,
    ( ~ mtvisible(c_tptpgeo_spindleheadmt)
    | mtvisible(c_worldgeographymt) ),
    inference(resolution,[],[f1149,f1157]) ).

fof(f1166,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(forward_subsumption_resolution,[],[f1163,f1147]) ).

fof(f1167,plain,
    ! [X0] :
      ( ~ inregion(c_geolocation_x14_y39,X0)
      | ~ inregion(X0,c_georegion_l3_x4_y13)
      | ~ geolevel_3(c_georegion_l3_x4_y13) ),
    inference(resolution,[],[f1150,f1148]) ).

fof(f1168,plain,
    ( ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
    | ~ geolevel_3(c_georegion_l3_x4_y13) ),
    inference(resolution,[],[f1167,f1160]) ).

fof(f1173,plain,
    ( ~ geolevel_3(c_georegion_l3_x4_y13)
    | ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
    inference(resolution,[],[f1168,f1151]) ).

fof(f1174,plain,
    ~ geolevel_3(c_georegion_l3_x4_y13),
    inference(forward_subsumption_resolution,[],[f1173,f1161]) ).

fof(f1176,plain,
    ~ mtvisible(c_worldgeographymt),
    inference(resolution,[],[f1174,f1152]) ).

fof(f1177,plain,
    mtvisible(c_worldgeographymt),
    inference(forward_subsumption_resolution,[],[f1164,f1166]) ).

fof(f1178,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1177,f1176]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR029+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n008.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 22:12:10 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running first-order theorem proving
% 0.07/0.23  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
% 2.69/1.17  % (2711929)Detected formulas, will run a generic FOF schedule.
% 2.69/1.17  % (2711938)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3737627260:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.69/1.17  % (2711938)First to succeed.
% 2.69/1.17  % (2711938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2711929"
% 2.69/1.17  % (2711934)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=605524181:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.69/1.17  % (2711935)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=1183032628:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.69/1.17  % (2711936)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=3664746589:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.69/1.17  % (2711940)dis-21_1_sil=8000:lcm=predicate:random_seed=3545265204: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)
% 2.69/1.17  % (2711939)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2683040430:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.69/1.17  % (2711937)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2971064868:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.69/1.17  % (2711937)Refutation not found, incomplete strategy
% 2.69/1.17  % (2711937)------------------------------
% 2.69/1.17  % (2711937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.17  % (2711937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.17  % (2711937)CaDiCaL version: 2.1.3
% 2.69/1.17  % (2711937)Termination reason: Refutation not found, incomplete strategy
% 2.69/1.17  % (2711937)Time elapsed: 0.003 s
% 2.69/1.17  % (2711937)Peak memory usage: 88 MB
% 2.69/1.17  % (2711937)Instructions burned: 3 (million)
% 2.69/1.17  % (2711940)Also succeeded, but the first one will report.
% 2.69/1.17  % (2711939)Also succeeded, but the first one will report.
% 2.69/1.17  % (2711938)Refutation found. Thanks to Tanya!
% 2.69/1.17  % SZS status Theorem for theBenchmark
% 2.69/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.17  % (2711938)------------------------------
% 2.69/1.17  % (2711938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.17  % (2711938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.17  % (2711938)CaDiCaL version: 2.1.3
% 2.69/1.17  % (2711938)Termination reason: Refutation
% 2.69/1.17  % (2711938)Time elapsed: 0.002 s
% 2.69/1.17  % (2711938)Peak memory usage: 89 MB
% 2.69/1.17  % (2711938)Instructions burned: 4 (million)
% 2.69/1.17  % (2711938)------------------------------
% 2.69/1.17  % (2711938)------------------------------
% 2.69/1.17  % (2711929)Success in time 0.306 s
% 2.69/1.17  % Vampire exiting
%------------------------------------------------------------------------------