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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR059+3 : 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 : n019.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 09:42:27 AM UTC 2026

% Result   : Theorem 6.69s 2.37s
% Output   : Refutation 6.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  16   ~;  11   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1376,axiom,
    ( mtvisible(c_tptpgeo_member5_mt)
   => borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1376) ).

fof(f4496,axiom,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4496) ).

fof(f7642,axiom,
    ! [X0,X1] :
      ( borderson(X0,X1)
     => borderson(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7642) ).

fof(f7997,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).

fof(f8006,conjecture,
    ( mtvisible(c_tptpgeo_spindlecollectormt)
   => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query159) ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
     => borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8010,plain,
    ( ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47)
    & mtvisible(c_tptpgeo_spindlecollectormt) ),
    inference(ennf_transformation,[],[f8007]) ).

fof(f8011,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f7997]) ).

fof(f8012,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f8011]) ).

fof(f8013,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(ennf_transformation,[],[f7642]) ).

fof(f8016,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(ennf_transformation,[],[f1376]) ).

fof(f8025,plain,
    mtvisible(c_tptpgeo_spindlecollectormt),
    inference(cnf_transformation,[],[f8010]) ).

fof(f8026,plain,
    ~ borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
    inference(cnf_transformation,[],[f8010]) ).

fof(f8027,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f8012]) ).

fof(f8029,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[],[f8013]) ).

fof(f8039,plain,
    ( borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47)
    | ~ mtvisible(c_tptpgeo_member5_mt) ),
    inference(cnf_transformation,[],[f8016]) ).

fof(f8048,plain,
    genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
    inference(cnf_transformation,[],[f4496]) ).

fof(f8066,plain,
    ~ borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
    inference(resolution,[],[f8029,f8026]) ).

fof(f8082,plain,
    ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
    | mtvisible(c_tptpgeo_member5_mt) ),
    inference(resolution,[],[f8027,f8048]) ).

fof(f8086,plain,
    mtvisible(c_tptpgeo_member5_mt),
    inference(forward_subsumption_resolution,[],[f8082,f8025]) ).

fof(f8094,plain,
    ~ mtvisible(c_tptpgeo_member5_mt),
    inference(resolution,[],[f8066,f8039]) ).

fof(f8096,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f8094,f8086]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR059+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.31  % Computer : n019.cluster.edu
% 0.27/0.31  % Model    : x86_64 x86_64
% 0.27/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.31  % Memory   : 8046.5625MB
% 0.27/0.31  % OS       : Linux 6.8.0-71-generic
% 0.27/0.31  % CPULimit : 300
% 0.27/0.31  % WCLimit  : 300
% 0.27/0.31  % DateTime : Mon Sep 28 22:21:33 UTC 2026
% 0.27/0.31  % CPUTime  : 
% 0.27/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.37  Running first-order theorem proving
% 0.27/0.37  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
% 6.69/2.37  % (343208)Detected formulas, will run a generic FOF schedule.
% 6.69/2.37  % (343218)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2323722598:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 6.69/2.37  % (343213)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=2595867426:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 6.69/2.37  % (343215)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=2282478552:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 6.69/2.37  % (343214)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=901724891:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 6.69/2.37  % (343216)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1498246868:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 6.69/2.37  % (343217)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3562774396:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 6.69/2.37  % (343219)dis-21_1_sil=8000:lcm=predicate:random_seed=4236508575:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 6.69/2.37  % (343216)Refutation not found, incomplete strategy
% 6.69/2.37  % (343216)------------------------------
% 6.69/2.37  % (343216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/2.37  % (343216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/2.37  % (343216)CaDiCaL version: 2.1.3
% 6.69/2.37  % (343216)Termination reason: Refutation not found, incomplete strategy
% 6.69/2.37  % (343216)Time elapsed: 0.025 s
% 6.69/2.37  % (343216)Peak memory usage: 93 MB
% 6.69/2.37  % (343216)Instructions burned: 24 (million)
% 6.69/2.37  % (343218)Instruction limit reached! 
% 6.69/2.37  % (343218)------------------------------
% 6.69/2.37  % (343218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/2.37  % (343218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/2.37  % (343218)CaDiCaL version: 2.1.3
% 6.69/2.37  % (343218)Termination reason: Instruction limit
% 6.69/2.37  % (343218)Termination phase: Property scanning
% 6.69/2.37  % (343218)Time elapsed: 0.088 s
% 6.69/2.37  % (343218)Peak memory usage: 93 MB
% 6.69/2.37  % (343218)Instructions burned: 141 (million)
% 6.69/2.37  % (343217)First to succeed.
% 6.69/2.37  % (343217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-343208"
% 6.69/2.37  % (343219)Also succeeded, but the first one will report.
% 6.69/2.37  % (343227)lrs+10_1_sil=8000:sp=occurrence:random_seed=2695224520:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 6.69/2.37  % (343227)Also succeeded, but the first one will report.
% 6.69/2.37  % (343216)------------------------------
% 6.69/2.37  % (343216)------------------------------
% 6.69/2.37  % (343217)Refutation found. Thanks to Tanya!
% 6.69/2.37  % SZS status Theorem for theBenchmark
% 6.69/2.37  % SZS output start Proof for theBenchmark
% See solution above
% 6.69/2.37  % (343217)------------------------------
% 6.69/2.37  % (343217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/2.37  % (343217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/2.37  % (343217)CaDiCaL version: 2.1.3
% 6.69/2.37  % (343217)Termination reason: Refutation
% 6.69/2.37  % (343217)Time elapsed: 0.028 s
% 6.69/2.37  % (343217)Peak memory usage: 94 MB
% 6.69/2.37  % (343217)Instructions burned: 26 (million)
% 6.69/2.37  % (343217)------------------------------
% 6.69/2.37  % (343217)------------------------------
% 6.69/2.37  % (343208)Success in time 1.039 s
% 6.69/2.37  % Vampire exiting
%------------------------------------------------------------------------------