↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR050+2 : 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 : n007.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 2.27s 1.60s
% Output   : Refutation 5.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   54 (  20 unt;   2 def)
%            Number of atoms       :  117 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  122 (  59   ~;  53   |;   2   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 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   :   45 (   0 sgn  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,axiom,
    genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_52) ).

fof(f57,axiom,
    ! [X0,X1] :
      ( tptptypes_9_693(X0,X1)
     => tptptypes_8_692(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_57) ).

fof(f58,axiom,
    genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_58) ).

fof(f59,axiom,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_59) ).

fof(f87,axiom,
    genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_87) ).

fof(f144,axiom,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
     => tptptypes_7_691(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_144) ).

fof(f338,axiom,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_338) ).

fof(f482,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',ax1_482) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).

fof(f1132,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',query100) ).

fof(f1133,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)],[f1132]) ).

fof(f1228,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,[],[f1133]) ).

fof(f1229,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f1230,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f1229]) ).

fof(f1231,plain,
    ! [X0,X1] :
      ( tptptypes_7_691(X1,X0)
      | ~ tptptypes_8_692(X0,X1) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f1236,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(ennf_transformation,[],[f482]) ).

fof(f1257,plain,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
      | ~ tptptypes_9_693(X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f1350,plain,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)),
    inference(cnf_transformation,[],[f1228]) ).

fof(f1351,plain,
    ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(cnf_transformation,[],[f1228]) ).

fof(f1354,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f1230]) ).

fof(f1355,plain,
    ! [X0,X1] :
      ( tptptypes_7_691(X1,X0)
      | ~ tptptypes_8_692(X0,X1) ),
    inference(cnf_transformation,[],[f1231]) ).

fof(f1360,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    inference(cnf_transformation,[],[f1236]) ).

fof(f1365,plain,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    inference(cnf_transformation,[],[f338]) ).

fof(f1384,plain,
    ! [X0,X1] :
      ( tptptypes_8_692(X0,X1)
      | ~ tptptypes_9_693(X0,X1) ),
    inference(cnf_transformation,[],[f1257]) ).

fof(f1388,plain,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    inference(cnf_transformation,[],[f59]) ).

fof(f1422,plain,
    genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt),
    inference(cnf_transformation,[],[f58]) ).

fof(f1454,plain,
    genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt),
    inference(cnf_transformation,[],[f87]) ).

fof(f1497,plain,
    genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt),
    inference(cnf_transformation,[],[f52]) ).

fof(f1545,definition,
    ( spl0_14
  <=> mtvisible(c_currentworlddatacollectormt_nonhomocentric) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f1546,plain,
    ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f1545]) ).

fof(f1556,definition,
    ( spl0_17
  <=> tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f1557,plain,
    ( tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1558,plain,
    ( ~ spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f1360,f1556,f1545]) ).

fof(f1648,plain,
    ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939),
    inference(resolution,[],[f1355,f1351]) ).

fof(f1649,plain,
    ~ tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939),
    inference(resolution,[],[f1384,f1648]) ).

fof(f1667,plain,
    ( ! [X0] :
        ( ~ mtvisible(X0)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric) )
    | spl0_14 ),
    inference(resolution,[],[f1354,f1546]) ).

fof(f1678,plain,
    ( ! [X0,X1] :
        ( ~ mtvisible(X1)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(X1,X0) )
    | spl0_14 ),
    inference(resolution,[],[f1667,f1354]) ).

fof(f1699,plain,
    ( ! [X2,X0,X1] :
        ( ~ mtvisible(X2)
        | ~ genlmt(X1,X0)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(X2,X1) )
    | spl0_14 ),
    inference(resolution,[],[f1678,f1354]) ).

fof(f1728,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ mtvisible(X3)
        | ~ genlmt(X1,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(X2,X0)
        | ~ genlmt(X0,X1)
        | ~ genlmt(X3,X2) )
    | spl0_14 ),
    inference(resolution,[],[f1699,f1354]) ).

fof(f1763,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ mtvisible(X4)
        | ~ genlmt(X1,X2)
        | ~ genlmt(X2,X0)
        | ~ genlmt(X3,X1)
        | ~ genlmt(X0,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(X4,X3) )
    | spl0_14 ),
    inference(resolution,[],[f1728,f1354]) ).

fof(f1885,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ genlmt(X0,X1)
        | ~ genlmt(X1,X2)
        | ~ genlmt(X3,X0)
        | ~ genlmt(X2,c_currentworlddatacollectormt_nonhomocentric)
        | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),X3) )
    | spl0_14 ),
    inference(resolution,[],[f1763,f1350]) ).

fof(f1978,plain,
    ( ! [X2,X0,X1] :
        ( ~ genlmt(X0,X1)
        | ~ genlmt(X1,X2)
        | ~ genlmt(c_machinelearningspindleheadmt,X0)
        | ~ genlmt(X2,c_currentworlddatacollectormt_nonhomocentric) )
    | spl0_14 ),
    inference(resolution,[],[f1885,f1365]) ).

fof(f2059,plain,
    ( ! [X0,X1] :
        ( ~ genlmt(X0,X1)
        | ~ genlmt(X1,c_ldscdemonstrationspindleheadmt)
        | ~ genlmt(c_machinelearningspindleheadmt,X0) )
    | spl0_14 ),
    inference(resolution,[],[f1978,f1388]) ).

fof(f2078,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_ldscgeneralcollectormt)
        | ~ genlmt(c_machinelearningspindleheadmt,X0) )
    | spl0_14 ),
    inference(resolution,[],[f2059,f1454]) ).

fof(f2082,plain,
    ( ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
    | spl0_14 ),
    inference(resolution,[],[f2078,f1497]) ).

fof(f2085,plain,
    ( $false
    | spl0_14 ),
    inference(resolution,[],[f2082,f1422]) ).

fof(f2086,plain,
    spl0_14,
    inference(avatar_contradiction_clause,[],[f2085]) ).

fof(f2132,plain,
    ( $false
    | ~ spl0_17 ),
    inference(resolution,[],[f1557,f1649]) ).

fof(f2133,plain,
    ~ spl0_17,
    inference(avatar_contradiction_clause,[],[f2132]) ).

cnf(s10,plain,
    ( ~ spl0_14
    | spl0_17 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s16,plain,
    spl0_14,
    inference(sat_conversion,[],[f2086]) ).

cnf(s29,plain,
    ~ spl0_17,
    inference(sat_conversion,[],[f2133]) ).

cnf(s30,plain,
    $false,
    inference(rat,[],[s10,s29,s16]) ).

fof(f2134,plain,
    $false,
    inference(avatar_sat_refutation,[],[s30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR050+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  % Computer : n007.cluster.edu
% 0.10/0.23  % Model    : x86_64 x86_64
% 0.10/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23  % Memory   : 8046.5625MB
% 0.10/0.23  % OS       : Linux 6.8.0-71-generic
% 0.10/0.23  % CPULimit : 300
% 0.10/0.23  % WCLimit  : 300
% 0.10/0.23  % DateTime : Mon Sep 28 22:15:40 UTC 2026
% 0.10/0.24  % CPUTime  : 
% 0.10/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.30  Running first-order theorem proving
% 0.26/0.30  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
% 2.27/1.60  % (2916846)Detected formulas, will run a generic FOF schedule.
% 2.27/1.60  % (2916854)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3920145278:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.27/1.60  % (2916854)Refutation not found, incomplete strategy
% 2.27/1.60  % (2916854)------------------------------
% 2.27/1.60  % (2916854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.60  % (2916854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.60  % (2916854)CaDiCaL version: 2.1.3
% 2.27/1.60  % (2916854)Termination reason: Refutation not found, incomplete strategy
% 2.27/1.60  % (2916854)Time elapsed: 0.002 s
% 2.27/1.60  % (2916854)Peak memory usage: 88 MB
% 2.27/1.60  % (2916854)Instructions burned: 3 (million)
% 2.27/1.60  % (2916851)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=2804243855:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.27/1.60  % (2916853)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=3647490075:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.27/1.60  % (2916852)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=718983266:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.27/1.60  % (2916855)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2601162625:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.27/1.60  % (2916857)dis-21_1_sil=8000:lcm=predicate:random_seed=1611010086: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)
% 2.27/1.60  % (2916856)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3955963755:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.27/1.60  % (2916857)First to succeed.
% 2.27/1.60  % (2916857)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2916846"
% 2.27/1.60  % (2916855)Instruction limit reached! 
% 2.27/1.60  % (2916855)------------------------------
% 2.27/1.60  % (2916855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.60  % (2916855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.60  % (2916855)CaDiCaL version: 2.1.3
% 2.27/1.60  % (2916855)Termination reason: Instruction limit
% 2.27/1.60  % (2916855)Termination phase: Saturation
% 2.27/1.60  % (2916855)Time elapsed: 0.072 s
% 2.27/1.60  % (2916855)Peak memory usage: 88 MB
% 2.27/1.60  % (2916855)Instructions burned: 120 (million)
% 2.27/1.60  % (2916856)Also succeeded, but the first one will report.
% 2.27/1.60  % (2916854)------------------------------
% 2.27/1.60  % (2916854)------------------------------
% 2.27/1.60  % (2916868)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2054412856:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.27/1.60  % (2916865)lrs+10_1_sil=8000:sp=occurrence:random_seed=1925871052:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.27/1.60  % (2916868)Refutation not found, incomplete strategy
% 2.27/1.60  % (2916868)------------------------------
% 2.27/1.60  % (2916868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.60  % (2916868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.60  % (2916868)CaDiCaL version: 2.1.3
% 2.27/1.60  % (2916868)Termination reason: Refutation not found, incomplete strategy
% 2.27/1.60  % (2916868)Time elapsed: 0.005 s
% 2.27/1.60  % (2916868)Peak memory usage: 89 MB
% 2.27/1.60  % (2916868)Instructions burned: 8 (million)
% 2.27/1.60  % (2916865)Refutation not found, incomplete strategy
% 2.27/1.60  % (2916865)------------------------------
% 2.27/1.60  % (2916865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.27/1.60  % (2916865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/1.60  % (2916865)CaDiCaL version: 2.1.3
% 2.27/1.60  % (2916865)Termination reason: Refutation not found, incomplete strategy
% 2.27/1.60  % (2916865)Time elapsed: 0.017 s
% 2.27/1.60  % (2916865)Peak memory usage: 89 MB
% 2.27/1.60  % (2916865)Instructions burned: 12 (million)
% 2.27/1.60  % (2916857)Refutation found. Thanks to Tanya!
% 2.27/1.60  % SZS status Theorem for theBenchmark
% 2.27/1.60  % SZS output start Proof for theBenchmark
% See solution above
% 5.87/1.82  % (2916857)------------------------------
% 5.87/1.82  % (2916857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/1.82  % (2916857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/1.82  % (2916857)CaDiCaL version: 2.1.3
% 5.87/1.82  % (2916857)Termination reason: Refutation
% 5.87/1.82  % (2916857)Time elapsed: 0.030 s
% 5.87/1.82  % (2916857)Peak memory usage: 90 MB
% 5.87/1.82  % (2916857)Instructions burned: 29 (million)
% 5.87/1.82  % (2916857)------------------------------
% 5.87/1.82  % (2916857)------------------------------
% 5.87/1.82  % (2916846)Success in time 0.727 s
% 5.87/1.82  % Vampire exiting
%------------------------------------------------------------------------------