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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR053+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 09:42:22 AM UTC 2026

% Result   : Theorem 5.34s 2.21s
% Output   : Refutation 5.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   8 unt;   2 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (   9   ~;   4   |;   1   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14669,axiom,
    ( mtvisible(c_tptpgeo_member1_mt)
   => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_14669) ).

fof(f44217,conjecture,
    ( mtvisible(c_tptpgeo_member1_mt)
   => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query203) ).

fof(f44218,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member1_mt)
     => geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44223,plain,
    ( ~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
    & mtvisible(c_tptpgeo_member1_mt) ),
    inference(ennf_transformation,[],[f44218]) ).

fof(f44231,plain,
    ( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
    | ~ mtvisible(c_tptpgeo_member1_mt) ),
    inference(ennf_transformation,[],[f14669]) ).

fof(f44237,plain,
    mtvisible(c_tptpgeo_member1_mt),
    inference(cnf_transformation,[],[f44223]) ).

fof(f44238,plain,
    ~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
    inference(cnf_transformation,[],[f44223]) ).

fof(f44246,plain,
    ( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
    | ~ mtvisible(c_tptpgeo_member1_mt) ),
    inference(cnf_transformation,[],[f44231]) ).

fof(f44252,definition,
    ( spl0_1
  <=> mtvisible(c_tptpgeo_member1_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f44256,definition,
    ( spl0_2
  <=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f44260,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f44246,f44256,f44252]) ).

fof(f44261,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f44237,f44252]) ).

fof(f44262,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f44238,f44256]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f44260]) ).

cnf(s3,plain,
    spl0_1,
    inference(sat_conversion,[],[f44261]) ).

cnf(s4,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f44262]) ).

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

fof(f44263,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR053+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n015.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 22:21:47 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.22  Running first-order theorem proving
% 0.06/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.34/2.21  % (3095591)Detected formulas, will run a generic FOF schedule.
% 5.34/2.21  % (3095601)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=65563459:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 5.34/2.21  % (3095596)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=2981410134:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 5.34/2.21  % (3095597)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=2147243918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 5.34/2.21  % (3095600)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1551490006:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 5.34/2.21  % (3095598)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=3115509568:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 5.34/2.21  % (3095601)Instruction limit reached! 
% 5.34/2.21  % (3095601)------------------------------
% 5.34/2.21  % (3095601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/2.21  % (3095601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/2.21  % (3095601)CaDiCaL version: 2.1.3
% 5.34/2.21  % (3095601)Termination reason: Instruction limit
% 5.34/2.21  % (3095601)Termination phase: Property scanning
% 5.34/2.21  % (3095601)Time elapsed: 0.038 s
% 5.34/2.21  % (3095601)Peak memory usage: 110 MB
% 5.34/2.21  % (3095601)Instructions burned: 141 (million)
% 5.34/2.21  % (3095602)dis-21_1_sil=8000:lcm=predicate:random_seed=3840093964:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 5.34/2.21  % (3095599)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1179472316:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 5.34/2.21  % (3095600)Instruction limit reached! 
% 5.34/2.21  % (3095600)------------------------------
% 5.34/2.21  % (3095600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/2.21  % (3095600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/2.21  % (3095600)CaDiCaL version: 2.1.3
% 5.34/2.21  % (3095600)Termination reason: Instruction limit
% 5.34/2.21  % (3095600)Termination phase: Saturation
% 5.34/2.21  % (3095600)Time elapsed: 0.083 s
% 5.34/2.21  % (3095600)Peak memory usage: 116 MB
% 5.34/2.21  % (3095600)Instructions burned: 121 (million)
% 5.34/2.21  % (3095602)Instruction limit reached! 
% 5.34/2.21  % (3095602)------------------------------
% 5.34/2.21  % (3095602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/2.21  % (3095602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/2.21  % (3095602)CaDiCaL version: 2.1.3
% 5.34/2.21  % (3095602)Termination reason: Instruction limit
% 5.34/2.21  % (3095602)Termination phase: SInE selection
% 5.34/2.21  % (3095602)Time elapsed: 0.076 s
% 5.34/2.21  % (3095602)Peak memory usage: 111 MB
% 5.34/2.21  % (3095602)Instructions burned: 129 (million)
% 5.34/2.21  % (3095599)Instruction limit reached! 
% 5.34/2.21  % (3095599)------------------------------
% 5.34/2.21  % (3095599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/2.21  % (3095599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/2.21  % (3095599)CaDiCaL version: 2.1.3
% 5.34/2.21  % (3095599)Termination reason: Instruction limit
% 5.34/2.21  % (3095599)Termination phase: Saturation
% 5.34/2.21  % (3095599)Time elapsed: 0.081 s
% 5.34/2.21  % (3095599)Peak memory usage: 116 MB
% 5.34/2.21  % (3095599)Instructions burned: 109 (million)
% 5.34/2.21  % (3095608)lrs+10_1_sil=8000:sp=occurrence:random_seed=1576804022:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 5.34/2.21  % (3095608)First to succeed.
% 5.34/2.21  % (3095608)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3095591"
% 5.34/2.21  % (3095611)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1212773507:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 5.34/2.21  % (3095612)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2698500515:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 5.34/2.21  % (3095614)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=962073146:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 5.34/2.21  % (3095611)Instruction limit reached! 
% 5.34/2.21  % (3095611)------------------------------
% 5.34/2.21  % (3095611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/2.21  % (3095611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/2.21  % (3095611)CaDiCaL version: 2.1.3
% 5.34/2.21  % (3095611)Termination reason: Instruction limit
% 5.34/2.21  % (3095611)Termination phase: Property scanning
% 5.34/2.21  % (3095611)Time elapsed: 0.073 s
% 5.34/2.21  % (3095611)Peak memory usage: 110 MB
% 5.34/2.21  % (3095611)Instructions burned: 158 (million)
% 5.34/2.21  % (3095612)Also succeeded, but the first one will report.
% 5.34/2.21  % (3095608)Refutation found. Thanks to Tanya!
% 5.34/2.21  % SZS status Theorem for theBenchmark
% 5.34/2.21  % SZS output start Proof for theBenchmark
% See solution above
% 5.34/2.21  % (3095608)------------------------------
% 5.34/2.21  % (3095608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.34/2.21  % (3095608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.34/2.21  % (3095608)CaDiCaL version: 2.1.3
% 5.34/2.21  % (3095608)Termination reason: Refutation
% 5.34/2.21  % (3095608)Time elapsed: 0.052 s
% 5.34/2.21  % (3095608)Peak memory usage: 119 MB
% 5.34/2.21  % (3095608)Instructions burned: 112 (million)
% 5.34/2.21  % (3095608)------------------------------
% 5.34/2.21  % (3095608)------------------------------
% 5.34/2.21  % (3095591)Success in time 1.445 s
% 5.34/2.21  % Vampire exiting
%------------------------------------------------------------------------------