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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR050+3 : 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 : n014.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 0.20s 1.80s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   46 (  16 unt;   2 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   82 (  39   ~;  33   |;   2   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f826,axiom,
    genlmt(c_machinelearningspindleheadmt,c_ldscgeneralcollectormt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_826) ).

fof(f2669,axiom,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2669) ).

fof(f3183,axiom,
    genlmt(c_ldscgeneralcollectormt,c_currentworlddatacollectormt_nonhomocentric),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3183) ).

fof(f3307,axiom,
    ! [X0,X1] :
      ( tptptypes_9_693(X0,X1)
     => tptptypes_8_692(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3307) ).

fof(f3929,axiom,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
     => tptptypes_7_691(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3929) ).

fof(f3946,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3946) ).

fof(f7997,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).

fof(f8006,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/sandbox2/benchmark/theBenchmark.p',query150) ).

fof(f8007,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)],[f8006]) ).

fof(f8141,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,[],[f8007]) ).

fof(f8142,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f7997]) ).

fof(f8143,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f8142]) ).

fof(f8144,plain,
    ! [X0,X1] :
      ( tptptypes_7_691(X1,X0)
      | ~ tptptypes_8_692(X0,X1) ),
    inference(ennf_transformation,[],[f3929]) ).

fof(f8151,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f3946]) ).

fof(f8155,plain,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
      | ~ tptptypes_9_693(X0,X1) ),
    inference(ennf_transformation,[],[f3307]) ).

fof(f8314,plain,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)),
    inference(cnf_transformation,[],[f8141]) ).

fof(f8315,plain,
    ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(cnf_transformation,[],[f8141]) ).

fof(f8316,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f8143]) ).

fof(f8318,plain,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    inference(cnf_transformation,[],[f2669]) ).

fof(f8321,plain,
    ! [X0,X1] :
      ( tptptypes_7_691(X1,X0)
      | ~ tptptypes_8_692(X0,X1) ),
    inference(cnf_transformation,[],[f8144]) ).

fof(f8332,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(cnf_transformation,[],[f8151]) ).

fof(f8339,plain,
    genlmt(c_machinelearningspindleheadmt,c_ldscgeneralcollectormt),
    inference(cnf_transformation,[],[f826]) ).

fof(f8340,plain,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
      | ~ tptptypes_9_693(X0,X1) ),
    inference(cnf_transformation,[],[f8155]) ).

fof(f8401,plain,
    genlmt(c_ldscgeneralcollectormt,c_currentworlddatacollectormt_nonhomocentric),
    inference(cnf_transformation,[],[f3183]) ).

fof(f8593,definition,
    ( spl0_3
  <=> mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f8594,plain,
    ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f8593]) ).

fof(f8669,definition,
    ( spl0_23
  <=> tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f8670,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f8669]) ).

fof(f8672,plain,
    ( ~ spl0_3
    | spl0_23 ),
    inference(avatar_split_clause,[],[f8332,f8669,f8593]) ).

fof(f8757,plain,
    ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939),
    inference(resolution,[],[f8321,f8315]) ).

fof(f8758,plain,
    ~ tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939),
    inference(resolution,[],[f8340,f8757]) ).

fof(f8793,plain,
    ( ! [X0] :
        ( ~ mtvisible(X0)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric) )
    | spl0_3 ),
    inference(resolution,[],[f8316,f8594]) ).

fof(f8810,plain,
    ( ! [X0,X1] :
        ( ~ mtvisible(X1)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(X1,X0) )
    | spl0_3 ),
    inference(resolution,[],[f8793,f8316]) ).

fof(f8831,plain,
    ( ! [X2,X0,X1] :
        ( ~ mtvisible(X2)
        | ~ genlmt(X1,X0)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(X2,X1) )
    | spl0_3 ),
    inference(resolution,[],[f8810,f8316]) ).

fof(f8865,plain,
    ( ! [X0,X1] :
        ( ~ genlmt(X0,X1)
        | ~ genlmt(X1,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),X0) )
    | spl0_3 ),
    inference(resolution,[],[f8831,f8314]) ).

fof(f8900,plain,
    ( ! [X0] :
        ( ~ genlmt(c_machinelearningspindleheadmt,X0)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric) )
    | spl0_3 ),
    inference(resolution,[],[f8865,f8318]) ).

fof(f8914,plain,
    ( ~ genlmt(c_ldscgeneralcollectormt,c_currentworlddatacollectormt_nonhomocentric)
    | spl0_3 ),
    inference(resolution,[],[f8900,f8339]) ).

fof(f8952,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f8914,f8401]) ).

fof(f8953,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f8952]) ).

fof(f8958,plain,
    ( $false
    | ~ spl0_23 ),
    inference(resolution,[],[f8670,f8758]) ).

fof(f8959,plain,
    ~ spl0_23,
    inference(avatar_contradiction_clause,[],[f8958]) ).

cnf(s19,plain,
    ( ~ spl0_3
    | spl0_23 ),
    inference(sat_conversion,[],[f8672]) ).

cnf(s24,plain,
    spl0_3,
    inference(sat_conversion,[],[f8953]) ).

cnf(s25,plain,
    ~ spl0_23,
    inference(sat_conversion,[],[f8959]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s19,s25,s24]) ).

fof(f8960,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR050+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n014.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 22:17:31 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.21  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
% 4.41/1.55  % (2246398)Detected formulas, will run a generic FOF schedule.
% 4.41/1.55  % (2246432)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2423411706:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.41/1.55  % (2246432)Refutation not found, incomplete strategy
% 4.41/1.55  % (2246432)------------------------------
% 4.41/1.55  % (2246432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.55  % (2246432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.55  % (2246432)CaDiCaL version: 2.1.3
% 4.41/1.55  % (2246432)Termination reason: Refutation not found, incomplete strategy
% 4.41/1.55  % (2246432)Time elapsed: 0.018 s
% 4.41/1.55  % (2246432)Peak memory usage: 93 MB
% 4.41/1.55  % (2246432)Instructions burned: 23 (million)
% 4.41/1.55  % (2246431)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=2924635586:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.41/1.55  % (2246430)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=473349534:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.41/1.55  % (2246433)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3781243084:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.41/1.55  % (2246429)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=263669836:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.41/1.55  % (2246434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1468102986:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.41/1.55  % (2246435)dis-21_1_sil=8000:lcm=predicate:random_seed=1283238622:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.41/1.55  % (2246435)First to succeed.
% 4.41/1.55  % (2246435)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2246398"
% 4.41/1.55  % (2246433)Instruction limit reached! 
% 4.41/1.55  % (2246433)------------------------------
% 4.41/1.55  % (2246433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.55  % (2246433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.55  % (2246433)CaDiCaL version: 2.1.3
% 4.41/1.55  % (2246433)Termination reason: Instruction limit
% 4.41/1.55  % (2246433)Termination phase: Saturation
% 4.41/1.55  % (2246433)Time elapsed: 0.085 s
% 4.41/1.55  % (2246433)Peak memory usage: 93 MB
% 4.41/1.55  % (2246433)Instructions burned: 120 (million)
% 4.41/1.55  % (2246434)Instruction limit reached! 
% 4.41/1.55  % (2246434)------------------------------
% 4.41/1.55  % (2246434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.55  % (2246434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.55  % (2246434)CaDiCaL version: 2.1.3
% 4.41/1.55  % (2246434)Termination reason: Instruction limit
% 4.41/1.55  % (2246434)Termination phase: Property scanning
% 4.41/1.55  % (2246434)Time elapsed: 0.135 s
% 4.41/1.55  % (2246434)Peak memory usage: 93 MB
% 4.41/1.55  % (2246434)Instructions burned: 139 (million)
% 4.41/1.55  % (2246432)------------------------------
% 4.41/1.55  % (2246432)------------------------------
% 4.41/1.55  % (2246448)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1572544437:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 4.41/1.55  % (2246445)lrs+10_1_sil=8000:sp=occurrence:random_seed=2496386594:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 4.41/1.55  % (2246448)Refutation not found, incomplete strategy
% 4.41/1.55  % (2246448)------------------------------
% 4.41/1.55  % (2246448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.55  % (2246448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.55  % (2246448)CaDiCaL version: 2.1.3
% 4.41/1.55  % (2246448)Termination reason: Refutation not found, incomplete strategy
% 4.41/1.55  % (2246448)Time elapsed: 0.031 s
% 4.41/1.55  % (2246448)Peak memory usage: 94 MB
% 4.41/1.55  % (2246448)Instructions burned: 57 (million)
% 4.41/1.55  % (2246445)Refutation not found, incomplete strategy
% 4.41/1.55  % (2246445)------------------------------
% 4.41/1.55  % (2246445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.80  % (2246445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.80  % (2246445)CaDiCaL version: 2.1.3
% 0.20/1.80  % (2246445)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.80  % (2246445)Time elapsed: 0.028 s
% 0.20/1.80  % (2246445)Peak memory usage: 94 MB
% 0.20/1.80  % (2246445)Instructions burned: 21 (million)
% 0.20/1.80  % (2246435)Refutation found. Thanks to Tanya!
% 0.20/1.80  % SZS status Theorem for theBenchmark
% 0.20/1.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.81  % (2246435)------------------------------
% 0.20/1.81  % (2246435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.81  % (2246435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.81  % (2246435)CaDiCaL version: 2.1.3
% 0.20/1.81  % (2246435)Termination reason: Refutation
% 0.20/1.81  % (2246435)Time elapsed: 0.049 s
% 0.20/1.81  % (2246435)Peak memory usage: 95 MB
% 0.20/1.81  % (2246435)Instructions burned: 49 (million)
% 0.20/1.81  % (2246435)------------------------------
% 0.20/1.81  % (2246435)------------------------------
% 0.20/1.81  % (2246398)Success in time 0.851 s
% 0.20/1.81  % Vampire exiting
%------------------------------------------------------------------------------