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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR057+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 : 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 09:42:25 AM UTC 2026

% Result   : Theorem 0.21s 1.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   48 (  23   ~;  16   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   25 (  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1) ).

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

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

fof(f462,axiom,
    ! [X0] :
      ( geolevel_4(X0)
     => geographicalregion(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_462) ).

fof(f464,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_4(c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_464) ).

fof(f1042,axiom,
    ! [X0] :
      ( geographicalregion(X0)
     => geographicalsubregions(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1042) ).

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

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_tptpgeo_member8_mt)
     => inregion(X0,c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query107) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptpgeo_member8_mt)
       => inregion(X0,c_georegion_l4_x75_y75) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1134,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l4_x75_y75)
      & mtvisible(c_tptpgeo_member8_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(f1139,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f1140,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(ennf_transformation,[],[f464]) ).

fof(f1145,plain,
    ! [X0] :
      ( geographicalregion(X0)
      | ~ geolevel_4(X0) ),
    inference(ennf_transformation,[],[f462]) ).

fof(f1146,plain,
    ! [X0] :
      ( geographicalsubregions(X0,X0)
      | ~ geographicalregion(X0) ),
    inference(ennf_transformation,[],[f1042]) ).

fof(f1152,plain,
    mtvisible(c_tptpgeo_member8_mt),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1153,plain,
    ! [X0] : ~ inregion(X0,c_georegion_l4_x75_y75),
    inference(cnf_transformation,[],[f1134]) ).

fof(f1155,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[],[f1]) ).

fof(f1156,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f1136]) ).

fof(f1158,plain,
    ! [X0,X1] :
      ( inregion(X1,X0)
      | ~ geographicalsubregions(X0,X1) ),
    inference(cnf_transformation,[],[f1139]) ).

fof(f1159,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[],[f1140]) ).

fof(f1163,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[],[f326]) ).

fof(f1166,plain,
    ! [X0] :
      ( geographicalregion(X0)
      | ~ geolevel_4(X0) ),
    inference(cnf_transformation,[],[f1145]) ).

fof(f1167,plain,
    ! [X0] :
      ( geographicalsubregions(X0,X0)
      | ~ geographicalregion(X0) ),
    inference(cnf_transformation,[],[f1146]) ).

fof(f1176,plain,
    ! [X0] : ~ geographicalsubregions(c_georegion_l4_x75_y75,X0),
    inference(resolution,[],[f1158,f1153]) ).

fof(f1177,plain,
    ~ geographicalregion(c_georegion_l4_x75_y75),
    inference(resolution,[],[f1176,f1167]) ).

fof(f1181,plain,
    ~ geolevel_4(c_georegion_l4_x75_y75),
    inference(resolution,[],[f1177,f1166]) ).

fof(f1182,plain,
    ~ mtvisible(c_worldgeographymt),
    inference(resolution,[],[f1181,f1159]) ).

fof(f1183,plain,
    ( ~ mtvisible(c_tptpgeo_member8_mt)
    | mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[],[f1156,f1155]) ).

fof(f1184,plain,
    ( ~ mtvisible(c_tptpgeo_spindleheadmt)
    | mtvisible(c_worldgeographymt) ),
    inference(resolution,[],[f1156,f1163]) ).

fof(f1189,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(forward_subsumption_resolution,[],[f1183,f1152]) ).

fof(f1191,plain,
    mtvisible(c_worldgeographymt),
    inference(forward_subsumption_resolution,[],[f1184,f1189]) ).

fof(f1192,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1191,f1182]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR057+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n012.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:20:20 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  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
% 0.21/1.41  % (3857882)Detected formulas, will run a generic FOF schedule.
% 0.21/1.41  % (3857887)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=2530355006:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.41  % (3857889)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=887073956:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.41  % (3857888)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=2987635812:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.41  % (3857891)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1141162149:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.41  % (3857892)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1179808255:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.41  % (3857890)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3828079130:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.41  % (3857890)Refutation not found, incomplete strategy
% 0.21/1.41  % (3857890)------------------------------
% 0.21/1.41  % (3857890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.41  % (3857890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.41  % (3857890)CaDiCaL version: 2.1.3
% 0.21/1.41  % (3857890)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.41  % (3857890)Time elapsed: 0.002 s
% 0.21/1.41  % (3857890)Peak memory usage: 88 MB
% 0.21/1.41  % (3857890)Instructions burned: 3 (million)
% 0.21/1.41  % (3857891)First to succeed.
% 0.21/1.41  % (3857891)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3857882"
% 0.21/1.41  % (3857893)dis-21_1_sil=8000:lcm=predicate:random_seed=173811253: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)
% 0.21/1.41  % (3857892)Also succeeded, but the first one will report.
% 0.21/1.41  % (3857893)Also succeeded, but the first one will report.
% 0.21/1.41  % (3857890)------------------------------
% 0.21/1.41  % (3857890)------------------------------
% 0.21/1.41  % (3857891)Refutation found. Thanks to Tanya!
% 0.21/1.41  % SZS status Theorem for theBenchmark
% 0.21/1.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.41  % (3857891)------------------------------
% 0.21/1.41  % (3857891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.41  % (3857891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.41  % (3857891)CaDiCaL version: 2.1.3
% 0.21/1.41  % (3857891)Termination reason: Refutation
% 0.21/1.41  % (3857891)Time elapsed: 0.003 s
% 0.21/1.41  % (3857891)Peak memory usage: 88 MB
% 0.21/1.41  % (3857891)Instructions burned: 4 (million)
% 0.21/1.41  % (3857891)------------------------------
% 0.21/1.41  % (3857891)------------------------------
% 0.21/1.41  % (3857882)Success in time 0.533 s
% 0.21/1.41  % Vampire exiting
%------------------------------------------------------------------------------