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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR054+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 : n005.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 9.14s 3.98s
% Output   : Refutation 9.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   8 unt;   2 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  11   ~;   6   |;   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(f9513,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_9513) ).

fof(f44217,conjecture,
    ? [X0] :
      ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
     => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query204) ).

fof(f44218,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
       => tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44283,plain,
    ! [X0] :
      ( ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0)
      & mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f44218]) ).

fof(f44287,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f9513]) ).

fof(f44301,plain,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric),
    inference(cnf_transformation,[],[f44283]) ).

fof(f44302,plain,
    ! [X0] : ~ tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),X0),
    inference(cnf_transformation,[],[f44283]) ).

fof(f44306,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(cnf_transformation,[],[f44287]) ).

fof(f44345,definition,
    ( spl0_5
  <=> mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f44349,definition,
    ( spl0_6
  <=> tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170)) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f44351,plain,
    ( tptpofobject(f_instancewithrelationtofn(c_airport_physical,c_airporthasiatacode,s_tlh),f_tptpquantityfn_21(n_170))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f44349]) ).

fof(f44353,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f44306,f44349,f44345]) ).

fof(f44354,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f44301,f44345]) ).

fof(f44355,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f44351,f44302]) ).

fof(f44356,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f44355]) ).

cnf(s4,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f44353]) ).

cnf(s5,plain,
    spl0_5,
    inference(sat_conversion,[],[f44354]) ).

cnf(s6,plain,
    ~ spl0_6,
    inference(sat_conversion,[],[f44356]) ).

cnf(s7,plain,
    $false,
    inference(rat,[],[s4,s6,s5]) ).

fof(f44357,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR054+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.28  % Computer : n005.cluster.edu
% 0.12/0.28  % Model    : x86_64 x86_64
% 0.12/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28  % Memory   : 8046.5625MB
% 0.12/0.28  % OS       : Linux 6.8.0-71-generic
% 0.12/0.28  % CPULimit : 300
% 0.12/0.28  % WCLimit  : 300
% 0.12/0.28  % DateTime : Mon Sep 28 22:19:01 UTC 2026
% 0.28/0.29  % CPUTime  : 
% 0.28/0.29  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.34  Running first-order theorem proving
% 0.28/0.34  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
% 9.14/3.98  % (1247752)Detected formulas, will run a generic FOF schedule.
% 9.14/3.98  % (1247762)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=208167767:s2a=on:i=139:gtg=position_2984 on theBenchmark for (2984ds/139Mi)
% 9.14/3.98  % (1247757)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=2837578587:i=141193_2984 on theBenchmark for (2984ds/141193Mi)
% 9.14/3.98  % (1247760)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3537287713:i=109:sd=1:ins=1:gsp=on:ss=axioms_2984 on theBenchmark for (2984ds/109Mi)
% 9.14/3.98  % (1247758)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=2284419385:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2984 on theBenchmark for (2984ds/134677Mi)
% 9.14/3.98  % (1247759)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=399236723:i=141695:sd=1:nm=32:gsp=on:ss=included_2984 on theBenchmark for (2984ds/141695Mi)
% 9.14/3.98  % (1247762)Instruction limit reached! 
% 9.14/3.98  % (1247762)------------------------------
% 9.14/3.98  % (1247762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/3.98  % (1247762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/3.98  % (1247762)CaDiCaL version: 2.1.3
% 9.14/3.98  % (1247762)Termination reason: Instruction limit
% 9.14/3.98  % (1247762)Termination phase: Property scanning
% 9.14/3.98  % (1247762)Time elapsed: 0.067 s
% 9.14/3.98  % (1247762)Peak memory usage: 110 MB
% 9.14/3.98  % (1247762)Instructions burned: 140 (million)
% 9.14/3.98  % (1247761)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3811785492:i=119:av=off:ss=axioms_2984 on theBenchmark for (2984ds/119Mi)
% 9.14/3.98  % (1247763)dis-21_1_sil=8000:lcm=predicate:random_seed=4152252295:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2984 on theBenchmark for (2984ds/129Mi)
% 9.14/3.98  % (1247760)Instruction limit reached! 
% 9.14/3.98  % (1247760)------------------------------
% 9.14/3.98  % (1247760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/3.98  % (1247760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/3.98  % (1247760)CaDiCaL version: 2.1.3
% 9.14/3.98  % (1247760)Termination reason: Instruction limit
% 9.14/3.98  % (1247760)Termination phase: Saturation
% 9.14/3.98  % (1247760)Time elapsed: 0.124 s
% 9.14/3.98  % (1247760)Peak memory usage: 116 MB
% 9.14/3.98  % (1247760)Instructions burned: 109 (million)
% 9.14/3.98  % (1247761)Instruction limit reached! 
% 9.14/3.98  % (1247761)------------------------------
% 9.14/3.98  % (1247761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/3.98  % (1247761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/3.98  % (1247761)CaDiCaL version: 2.1.3
% 9.14/3.98  % (1247761)Termination reason: Instruction limit
% 9.14/3.98  % (1247761)Termination phase: Saturation
% 9.14/3.98  % (1247761)Time elapsed: 0.137 s
% 9.14/3.98  % (1247761)Peak memory usage: 116 MB
% 9.14/3.98  % (1247761)Instructions burned: 120 (million)
% 9.14/3.98  % (1247763)Instruction limit reached! 
% 9.14/3.98  % (1247763)------------------------------
% 9.14/3.98  % (1247763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/3.98  % (1247763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/3.98  % (1247763)CaDiCaL version: 2.1.3
% 9.14/3.98  % (1247763)Termination reason: Instruction limit
% 9.14/3.98  % (1247763)Termination phase: SInE selection
% 9.14/3.98  % (1247763)Time elapsed: 0.166 s
% 9.14/3.98  % (1247763)Peak memory usage: 111 MB
% 9.14/3.98  % (1247763)Instructions burned: 129 (million)
% 9.14/3.98  % (1247770)lrs+10_1_sil=8000:sp=occurrence:random_seed=1836697606:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 9.14/3.98  % (1247770)First to succeed.
% 9.14/3.98  % (1247770)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1247752"
% 9.14/3.98  % (1247772)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4144043618:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 9.14/3.98  % (1247773)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2867151889:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 9.14/3.98  % (1247774)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=360523244:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 9.14/3.98  % (1247772)Instruction limit reached! 
% 9.14/3.98  % (1247772)------------------------------
% 9.14/3.98  % (1247772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/3.98  % (1247772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/3.98  % (1247772)CaDiCaL version: 2.1.3
% 9.14/3.98  % (1247772)Termination reason: Instruction limit
% 9.14/3.98  % (1247772)Termination phase: Property scanning
% 9.14/3.98  % (1247772)Time elapsed: 0.133 s
% 9.14/3.98  % (1247772)Peak memory usage: 110 MB
% 9.14/3.98  % (1247772)Instructions burned: 157 (million)
% 9.14/3.98  % (1247773)Also succeeded, but the first one will report.
% 9.14/3.98  % (1247770)Refutation found. Thanks to Tanya!
% 9.14/3.98  % SZS status Theorem for theBenchmark
% 9.14/3.98  % SZS output start Proof for theBenchmark
% See solution above
% 9.14/3.98  % (1247770)------------------------------
% 9.14/3.98  % (1247770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/3.98  % (1247770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/3.98  % (1247770)CaDiCaL version: 2.1.3
% 9.14/3.98  % (1247770)Termination reason: Refutation
% 9.14/3.98  % (1247770)Time elapsed: 0.088 s
% 9.14/3.98  % (1247770)Peak memory usage: 120 MB
% 9.14/3.98  % (1247770)Instructions burned: 112 (million)
% 9.14/3.98  % (1247770)------------------------------
% 9.14/3.98  % (1247770)------------------------------
% 9.14/3.98  % (1247752)Success in time 2.494 s
% 9.14/3.98  % Vampire exiting
%------------------------------------------------------------------------------