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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR054+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 : n004.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 6.36s 2.17s
% Output   : Refutation 6.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   8 unt;   2 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  12   ~;   8   |;   1   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f217,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_217) ).

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
     => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query104) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
       => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1226,plain,
    ! [X0] :
      ( ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0)
      & mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1245,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f217]) ).

fof(f1364,plain,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric),
    inference(cnf_transformation,[],[f1226]) ).

fof(f1365,plain,
    ! [X0] : ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0),
    inference(cnf_transformation,[],[f1226]) ).

fof(f1378,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(cnf_transformation,[],[f1245]) ).

fof(f1597,definition,
    ( spl0_20
  <=> mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f1598,plain,
    ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1600,definition,
    ( spl0_21
  <=> tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f1601,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f1602,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f1378,f1600,f1597]) ).

fof(f1631,plain,
    ( $false
    | spl0_20 ),
    inference(resolution,[],[f1598,f1364]) ).

fof(f1632,plain,
    spl0_20,
    inference(avatar_contradiction_clause,[],[f1631]) ).

fof(f1633,plain,
    ( $false
    | ~ spl0_21 ),
    inference(resolution,[],[f1365,f1601]) ).

fof(f1634,plain,
    ~ spl0_21,
    inference(avatar_contradiction_clause,[],[f1633]) ).

cnf(s13,plain,
    ( ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s21,plain,
    spl0_20,
    inference(sat_conversion,[],[f1632]) ).

cnf(s22,plain,
    ~ spl0_21,
    inference(sat_conversion,[],[f1634]) ).

cnf(s25,plain,
    $false,
    inference(rat,[],[s13,s22,s21]) ).

fof(f1635,plain,
    $false,
    inference(avatar_sat_refutation,[],[s25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR054+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32  % Computer : n004.cluster.edu
% 0.26/0.32  % Model    : x86_64 x86_64
% 0.26/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.32  % Memory   : 8046.5625MB
% 0.26/0.32  % OS       : Linux 6.8.0-71-generic
% 0.26/0.32  % CPULimit : 300
% 0.26/0.32  % WCLimit  : 300
% 0.26/0.32  % DateTime : Mon Sep 28 22:18:52 UTC 2026
% 0.26/0.32  % CPUTime  : 
% 0.26/0.32  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.38  Running first-order theorem proving
% 0.26/0.38  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
% 6.36/2.17  % (852131)Detected formulas, will run a generic FOF schedule.
% 6.36/2.17  % (852140)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2904121082:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.36/2.17  % (852140)Instruction limit reached! 
% 6.36/2.17  % (852140)------------------------------
% 6.36/2.17  % (852140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17  % (852140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17  % (852140)CaDiCaL version: 2.1.3
% 6.36/2.17  % (852140)Termination reason: Instruction limit
% 6.36/2.17  % (852140)Termination phase: Saturation
% 6.36/2.17  % (852140)Time elapsed: 0.039 s
% 6.36/2.17  % (852140)Peak memory usage: 88 MB
% 6.36/2.17  % (852140)Instructions burned: 120 (million)
% 6.36/2.17  % (852137)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=2099416393:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.36/2.17  % (852136)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=2685787087:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.36/2.17  % (852138)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=2427934449:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.36/2.17  % (852139)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=864011502:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.36/2.17  % (852141)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4184201643:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.36/2.17  % (852142)dis-21_1_sil=8000:lcm=predicate:random_seed=3544127966: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)
% 6.36/2.17  % (852139)Refutation not found, incomplete strategy
% 6.36/2.17  % (852139)------------------------------
% 6.36/2.17  % (852139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17  % (852139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17  % (852139)CaDiCaL version: 2.1.3
% 6.36/2.17  % (852139)Termination reason: Refutation not found, incomplete strategy
% 6.36/2.17  % (852139)Time elapsed: 0.004 s
% 6.36/2.17  % (852139)Peak memory usage: 87 MB
% 6.36/2.17  % (852139)Instructions burned: 3 (million)
% 6.36/2.17  % (852142)First to succeed.
% 6.36/2.17  % (852142)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-852131"
% 6.36/2.17  % (852141)Also succeeded, but the first one will report.
% 6.36/2.17  % (852144)lrs+10_1_sil=8000:sp=occurrence:random_seed=2622175584:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.36/2.17  % (852144)Also succeeded, but the first one will report.
% 6.36/2.17  % (852139)------------------------------
% 6.36/2.17  % (852139)------------------------------
% 6.36/2.17  % (852142)Refutation found. Thanks to Tanya!
% 6.36/2.17  % SZS status Theorem for theBenchmark
% 6.36/2.17  % SZS output start Proof for theBenchmark
% See solution above
% 6.36/2.17  % (852142)------------------------------
% 6.36/2.17  % (852142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.36/2.17  % (852142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/2.17  % (852142)CaDiCaL version: 2.1.3
% 6.36/2.17  % (852142)Termination reason: Refutation
% 6.36/2.17  % (852142)Time elapsed: 0.011 s
% 6.36/2.17  % (852142)Peak memory usage: 90 MB
% 6.36/2.17  % (852142)Instructions burned: 8 (million)
% 6.36/2.17  % (852142)------------------------------
% 6.36/2.17  % (852142)------------------------------
% 6.36/2.17  % (852131)Success in time 0.778 s
% 6.36/2.17  % Vampire exiting
%------------------------------------------------------------------------------