↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 01:00:33 PM UTC 2026

% Result   : Theorem 0.15s 0.55s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   42 (   8 unt;   2 def)
%            Number of atoms       :  101 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   97 (  38   ~;  41   |;  11   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   50 (   0 sgn  44   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_someValuesFrom,X0,X2)
        & iext(uri_owl_onProperty,X0,X1) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB002+0.ax',owl_restrict_somevaluesfrom) ).

fof(f80,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).

fof(f139,conjecture,
    ? [X0] :
      ( iext(uri_ex_p,uri_ex_s,X0)
      & iext(uri_rdf_type,X0,uri_ex_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(f140,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_ex_p,uri_ex_s,X0)
        & iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(negated_conjecture,[status(cth)],[f139]) ).

fof(f141,axiom,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X0)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X0,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X0,uri_ex_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(f192,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f193,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( iext(X1,X3,X4)
              & icext(X2,X4) ) )
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(flattening,[],[f192]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(ennf_transformation,[],[f140]) ).

fof(f362,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | icext(X2,sK17(X1,X2,X3))
      | ~ icext(X0,X3) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f363,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | iext(X1,X3,sK17(X1,X2,X3))
      | ~ icext(X0,X3) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f455,plain,
    iext(uri_owl_someValuesFrom,sK18,uri_ex_c),
    inference(cnf_transformation,[],[f141]) ).

fof(f456,plain,
    iext(uri_owl_onProperty,sK18,uri_ex_p),
    inference(cnf_transformation,[],[f141]) ).

fof(f458,plain,
    iext(uri_rdf_type,uri_ex_s,sK18),
    inference(cnf_transformation,[],[f141]) ).

fof(f569,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | iext(X1,X3,sK17(X1,X2,X3))
      | icext(X0,X3) ),
    inference(consistent_polarity_flipping,[],[f363]) ).

fof(f570,plain,
    ! [X2,X3,X0,X1] :
      ( ~ icext(X2,sK17(X1,X2,X3))
      | ~ iext(uri_owl_someValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | icext(X0,X3) ),
    inference(consistent_polarity_flipping,[],[f362]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(consistent_polarity_flipping,[],[f388]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f387]) ).

fof(f1718,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onProperty,sK18,X0)
      | iext(X0,X1,sK17(X0,uri_ex_c,X1))
      | icext(sK18,X1) ),
    inference(resolution,[],[f569,f455]) ).

fof(f3362,plain,
    ! [X0] :
      ( iext(uri_ex_p,X0,sK17(uri_ex_p,uri_ex_c,X0))
      | icext(sK18,X0) ),
    inference(resolution,[],[f1718,f456]) ).

fof(f5321,plain,
    ( icext(sK18,uri_ex_s)
    | ~ iext(uri_rdf_type,sK17(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
    inference(resolution,[],[f3362,f454]) ).

fof(f5351,definition,
    ( spl19_406
  <=> iext(uri_rdf_type,sK17(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
    introduced(definition,[new_symbols(definition,[spl19_406])],[avatar_definition]) ).

fof(f5353,plain,
    ( ~ iext(uri_rdf_type,sK17(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c)
    | spl19_406 ),
    inference(avatar_component_clause,[],[f5351]) ).

fof(f5355,definition,
    ( spl19_407
  <=> icext(sK18,uri_ex_s) ),
    introduced(definition,[new_symbols(definition,[spl19_407])],[avatar_definition]) ).

fof(f5357,plain,
    ( icext(sK18,uri_ex_s)
    | ~ spl19_407 ),
    inference(avatar_component_clause,[],[f5355]) ).

fof(f5358,plain,
    ( ~ spl19_406
    | spl19_407 ),
    inference(avatar_split_clause,[],[f5321,f5355,f5351]) ).

fof(f5359,plain,
    ( icext(uri_ex_c,sK17(uri_ex_p,uri_ex_c,uri_ex_s))
    | spl19_406 ),
    inference(resolution,[],[f5353,f574]) ).

fof(f5360,plain,
    ( ! [X0] :
        ( ~ iext(uri_owl_someValuesFrom,X0,uri_ex_c)
        | ~ iext(uri_owl_onProperty,X0,uri_ex_p)
        | icext(X0,uri_ex_s) )
    | spl19_406 ),
    inference(resolution,[],[f5359,f570]) ).

fof(f5367,plain,
    ( ~ iext(uri_owl_onProperty,sK18,uri_ex_p)
    | icext(sK18,uri_ex_s)
    | spl19_406 ),
    inference(resolution,[],[f5360,f455]) ).

fof(f5368,plain,
    ( icext(sK18,uri_ex_s)
    | spl19_406 ),
    inference(forward_subsumption_resolution,[],[f5367,f456]) ).

fof(f5369,plain,
    ( spl19_407
    | spl19_406 ),
    inference(avatar_split_clause,[],[f5368,f5351,f5355]) ).

fof(f5373,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,sK18)
    | ~ spl19_407 ),
    inference(resolution,[],[f5357,f573]) ).

fof(f5374,plain,
    ( $false
    | ~ spl19_407 ),
    inference(forward_subsumption_resolution,[],[f5373,f458]) ).

fof(f5375,plain,
    ~ spl19_407,
    inference(avatar_contradiction_clause,[],[f5374]) ).

cnf(s591,plain,
    ( ~ spl19_406
    | spl19_407 ),
    inference(sat_conversion,[],[f5358]) ).

cnf(s592,plain,
    ( spl19_406
    | spl19_407 ),
    inference(sat_conversion,[],[f5369]) ).

cnf(s593,plain,
    ~ spl19_407,
    inference(sat_conversion,[],[f5375]) ).

cnf(s594,plain,
    spl19_406,
    inference(rat,[],[s592,s593]) ).

cnf(s595,plain,
    $false,
    inference(rat,[],[s591,s593,s594]) ).

fof(f5376,plain,
    $false,
    inference(avatar_sat_refutation,[],[s595]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB009+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n011.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 28 06:57:16 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.55  % (3216554)Will run a generic schedule for satisfiability detection.
% 0.15/0.55  % (3216563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3021599139:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.55  % (3216560)% WARNING: option uhcvi not known.
% 0.15/0.55  % (3216559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=747607632_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.55  % (3216560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=520039006:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.55  % (3216561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2662553825:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.55  % (3216562)dis+10_1_sil=32000:sp=arity:random_seed=424313773:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.55  % (3216564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=214028205:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.55  % (3216565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3301664862:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.55  % TRYING [1]
% 0.15/0.55  % TRYING [2]
% 0.15/0.55  % (3216563)Instruction limit reached! 
% 0.15/0.55  % (3216563)------------------------------
% 0.15/0.55  % (3216563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55  % (3216563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55  % (3216563)CaDiCaL version: 2.1.3
% 0.15/0.55  % (3216563)Termination reason: Instruction limit
% 0.15/0.55  % (3216563)Termination phase: Saturation
% 0.15/0.55  % (3216563)Time elapsed: 0.027 s
% 0.15/0.55  % (3216563)Peak memory usage: 12 MB
% 0.15/0.55  % (3216563)Instructions burned: 118 (million)
% 0.15/0.55  % TRYING [3]
% 0.15/0.55  % (3216573)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=732186230:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/0.55  % TRYING [1]
% 0.15/0.55  % TRYING [2]
% 0.15/0.55  % TRYING [3]
% 0.15/0.55  % TRYING [4]
% 0.15/0.55  % TRYING [4]
% 0.15/0.55  % (3216562)Instruction limit reached! 
% 0.15/0.55  % (3216562)------------------------------
% 0.15/0.55  % (3216562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55  % (3216562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55  % (3216562)CaDiCaL version: 2.1.3
% 0.15/0.55  % (3216562)Termination reason: Instruction limit
% 0.15/0.55  % (3216562)Termination phase: Saturation
% 0.15/0.55  % (3216562)Time elapsed: 0.061 s
% 0.15/0.55  % (3216562)Peak memory usage: 13 MB
% 0.15/0.55  % (3216562)Instructions burned: 103 (million)
% 0.15/0.55  % (3216564)Instruction limit reached! 
% 0.15/0.55  % (3216564)------------------------------
% 0.15/0.55  % (3216564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55  % (3216564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55  % (3216564)CaDiCaL version: 2.1.3
% 0.15/0.55  % (3216564)Termination reason: Instruction limit
% 0.15/0.55  % (3216564)Termination phase: Saturation
% 0.15/0.55  % (3216564)Time elapsed: 0.068 s
% 0.15/0.55  % (3216564)Peak memory usage: 14 MB
% 0.15/0.55  % (3216564)Instructions burned: 131 (million)
% 0.15/0.55  % (3216560) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3216554-3216560"...
% 0.15/0.55  % (3216560)...printing done.
% 0.15/0.55  % (3216575)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2843789632:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.15/0.55  % (3216560)Refutation found. Thanks to Tanya!
% 0.15/0.55  % SZS status Theorem for theBenchmark
% 0.15/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.55  % (3216560)------------------------------
% 0.15/0.55  % (3216560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55  % (3216560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55  % (3216560)CaDiCaL version: 2.1.3
% 0.15/0.55  % (3216560)Termination reason: Refutation
% 0.15/0.55  % (3216560)Time elapsed: 0.079 s
% 0.15/0.55  % (3216560)Peak memory usage: 15 MB
% 0.15/0.55  % (3216560)Instructions burned: 119 (million)
% 0.15/0.55  % (3216554)Success in time 0.131 s
% 0.15/0.55  % Vampire exiting
%------------------------------------------------------------------------------