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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR050+1 : 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 : n006.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 09:42:19 AM UTC 2026

% Result   : Theorem 6.18s 2.08s
% Output   : Refutation 6.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   54 (  18 unt;   2 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   84 (  39   ~;  35   |;   2   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-3 aty)
%            Number of variables   :   25 (   0 sgn  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

fof(f4,axiom,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

fof(f5,axiom,
    genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

fof(f6,axiom,
    genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

fof(f7,axiom,
    genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
     => tptptypes_7_691(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( tptptypes_9_693(X0,X1)
     => tptptypes_8_692(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

fof(f15,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

fof(f78,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just78) ).

fof(f87,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
   => tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query50) ).

fof(f88,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
     => tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(negated_conjecture,[status(cth)],[f87]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( tptptypes_7_691(X1,X0)
      | ~ tptptypes_8_692(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
      | ~ tptptypes_9_693(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f129,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f156]) ).

fof(f166,plain,
    ( ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f167,plain,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    inference(cnf_transformation,[],[f1]) ).

fof(f170,plain,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    inference(cnf_transformation,[],[f4]) ).

fof(f171,plain,
    genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt),
    inference(cnf_transformation,[],[f6]) ).

fof(f173,plain,
    genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt),
    inference(cnf_transformation,[],[f7]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_692(X0,X1)
      | tptptypes_7_691(X1,X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_693(X0,X1)
      | tptptypes_8_692(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f181,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f215,plain,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)),
    inference(cnf_transformation,[],[f166]) ).

fof(f216,plain,
    ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(cnf_transformation,[],[f166]) ).

fof(f218,definition,
    ( spl0_1
  <=> mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f220,plain,
    ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f222,definition,
    ( spl0_2
  <=> tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f224,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f225,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f181,f222,f218]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f206,f220]) ).

fof(f229,plain,
    ( ~ mtvisible(c_ldscdemonstrationspindleheadmt)
    | spl0_1 ),
    inference(resolution,[],[f226,f167]) ).

fof(f230,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_ldscdemonstrationspindleheadmt)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f229,f206]) ).

fof(f232,plain,
    ( ~ mtvisible(c_ldscgeneralcollectormt)
    | spl0_1 ),
    inference(resolution,[],[f230,f173]) ).

fof(f233,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_ldscgeneralcollectormt)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f232,f206]) ).

fof(f238,plain,
    ( ~ mtvisible(c_miptdatabase19681997_termsmt)
    | spl0_1 ),
    inference(resolution,[],[f233,f172]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_miptdatabase19681997_termsmt)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f238,f206]) ).

fof(f246,plain,
    ( ~ mtvisible(c_machinelearningspindleheadmt)
    | spl0_1 ),
    inference(resolution,[],[f239,f171]) ).

fof(f252,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_machinelearningspindleheadmt)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f246,f206]) ).

fof(f259,plain,
    ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
    | spl0_1 ),
    inference(resolution,[],[f252,f170]) ).

fof(f260,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f259,f215]) ).

fof(f261,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f262,plain,
    ( tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ spl0_2 ),
    inference(resolution,[],[f224,f180]) ).

fof(f263,plain,
    ( tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))
    | ~ spl0_2 ),
    inference(resolution,[],[f262,f178]) ).

fof(f264,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f263,f216]) ).

fof(f265,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f264]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s2,plain,
    spl0_1,
    inference(sat_conversion,[],[f261]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f265]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s3,s2]) ).

fof(f266,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR050+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.30  % Computer : n006.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8046.5625MB
% 0.11/0.30  % OS       : Linux 6.8.0-71-generic
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Mon Sep 28 22:17:10 UTC 2026
% 0.11/0.30  % CPUTime  : 
% 0.29/0.30  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.36  Running first-order theorem proving
% 0.29/0.36  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
% 6.18/2.08  % (273738)Detected formulas, will run a generic FOF schedule.
% 6.18/2.08  % (273747)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=419591180:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.18/2.08  % (273747)Instruction limit reached! 
% 6.18/2.08  % (273747)------------------------------
% 6.18/2.08  % (273747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/2.08  % (273747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/2.08  % (273747)CaDiCaL version: 2.1.3
% 6.18/2.08  % (273747)Termination reason: Instruction limit
% 6.18/2.08  % (273747)Termination phase: Saturation
% 6.18/2.08  % (273747)Time elapsed: 0.040 s
% 6.18/2.08  % (273747)Peak memory usage: 87 MB
% 6.18/2.08  % (273747)Instructions burned: 119 (million)
% 6.18/2.08  % (273744)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=1175328216:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.18/2.08  % (273743)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=1864554389:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.18/2.08  % (273746)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1436148813:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.18/2.08  % (273745)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=2773201579:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.18/2.08  % (273746)Refutation not found, incomplete strategy
% 6.18/2.08  % (273746)------------------------------
% 6.18/2.08  % (273746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/2.08  % (273746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/2.08  % (273746)CaDiCaL version: 2.1.3
% 6.18/2.08  % (273746)Termination reason: Refutation not found, incomplete strategy
% 6.18/2.08  % (273746)Time elapsed: 0.001 s
% 6.18/2.08  % (273746)Peak memory usage: 87 MB
% 6.18/2.08  % (273748)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=971782296:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.18/2.08  % (273749)dis-21_1_sil=8000:lcm=predicate:random_seed=3970667286: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)
% 6.18/2.08  % (273748)First to succeed.
% 6.18/2.08  % (273748)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-273738"
% 6.18/2.08  % (273749)Also succeeded, but the first one will report.
% 6.18/2.08  % (273751)lrs+10_1_sil=8000:sp=occurrence:random_seed=391071328:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.18/2.08  % (273751)Also succeeded, but the first one will report.
% 6.18/2.08  % (273746)------------------------------
% 6.18/2.08  % (273746)------------------------------
% 6.18/2.08  % (273748)Refutation found. Thanks to Tanya!
% 6.18/2.08  % SZS status Theorem for theBenchmark
% 6.18/2.08  % SZS output start Proof for theBenchmark
% See solution above
% 6.18/2.08  % (273748)------------------------------
% 6.18/2.08  % (273748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.18/2.08  % (273748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/2.08  % (273748)CaDiCaL version: 2.1.3
% 6.18/2.08  % (273748)Termination reason: Refutation
% 6.18/2.08  % (273748)Time elapsed: 0.007 s
% 6.18/2.08  % (273748)Peak memory usage: 89 MB
% 6.18/2.08  % (273748)Instructions burned: 4 (million)
% 6.18/2.08  % (273748)------------------------------
% 6.18/2.08  % (273748)------------------------------
% 6.18/2.08  % (273738)Success in time 0.719 s
% 6.18/2.08  % Vampire exiting
%------------------------------------------------------------------------------