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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB083+1 : TPTP v9.3.1. Released v5.2.0.
% 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 01:00:23 PM UTC 2026

% Result   : Theorem 5.33s 1.72s
% Output   : Refutation 5.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   41 (  15 unt;   1 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  126 (  53   ~;  53   |;  12   &)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-3 aty)
%            Number of variables   :   77 (   0 sgn  75   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f59,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_rdfs_range,X0,X1)
        & iext(X0,X2,X3) )
     => icext(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_main) ).

fof(f301,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_allValuesFrom,X0,X2)
        & iext(uri_owl_onProperty,X0,X1) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( iext(X1,X3,X4)
             => icext(X2,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_allvalues_inst_subj) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_owl_Thing) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_allvalues_inst_subj) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(flattening,[],[f560]) ).

fof(f566,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(uri_rdfs_range,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f567,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(uri_rdfs_range,X0,X1)
      | ~ iext(X0,X2,X3) ),
    inference(flattening,[],[f566]) ).

fof(f568,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( icext(X2,X4)
              | ~ iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f301]) ).

fof(f569,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( icext(X2,X4)
              | ~ iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(flattening,[],[f568]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f584,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4] :
                ( ~ icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X4] :
                ( icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(nnf_transformation,[],[f569]) ).

fof(f585,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4] :
                ( ~ icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X5] :
                ( icext(X2,X5)
                | ~ iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(rectify,[],[f584]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ( ~ icext(X2,sK2(X1,X2,X3))
              & iext(X1,X3,sK2(X1,X2,X3)) ) )
          & ( ! [X5] :
                ( icext(X2,X5)
                | ~ iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X1,X2,X3))],[f585]) ).

fof(f591,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f562]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f578]) ).

fof(f595,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f596,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f597,plain,
    iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f603,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | icext(X1,X3)
      | ~ iext(X0,X2,X3) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f609,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | iext(X1,X3,sK2(X1,X2,X3))
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | icext(X0,X3) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f610,plain,
    ! [X2,X3,X0,X1] :
      ( ~ icext(X2,sK2(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f652,plain,
    ~ icext(uri_ex_z,uri_ex_w),
    inference(resolution,[],[f593,f591]) ).

fof(f657,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X1,X0)
      | icext(uri_ex_c,X0) ),
    inference(resolution,[],[f603,f595]) ).

fof(f699,plain,
    ! [X0,X1] :
      ( iext(uri_ex_p,X0,sK2(uri_ex_p,X1,X0))
      | ~ iext(uri_owl_allValuesFrom,uri_ex_z,X1)
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f609,f596]) ).

fof(f708,definition,
    ( spl4_3
  <=> ! [X0] : icext(uri_ex_z,X0) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f709,plain,
    ( ! [X0] : icext(uri_ex_z,X0)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f728,plain,
    ! [X0,X1] :
      ( icext(uri_ex_c,sK2(uri_ex_p,X0,X1))
      | icext(uri_ex_z,X1)
      | ~ iext(uri_owl_allValuesFrom,uri_ex_z,X0) ),
    inference(resolution,[],[f699,f657]) ).

fof(f730,plain,
    ! [X0,X1] :
      ( icext(uri_ex_z,X0)
      | ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
      | icext(X1,X0)
      | ~ iext(uri_owl_allValuesFrom,X1,uri_ex_c)
      | ~ iext(uri_owl_onProperty,X1,uri_ex_p) ),
    inference(resolution,[],[f728,f610]) ).

fof(f731,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
      | icext(X1,X0)
      | ~ iext(uri_owl_allValuesFrom,X1,uri_ex_c)
      | icext(uri_ex_z,X0) ),
    inference(forward_subsumption_resolution,[],[f730,f597]) ).

fof(f734,plain,
    ! [X0] :
      ( icext(uri_ex_z,X0)
      | ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
      | icext(uri_ex_z,X0) ),
    inference(resolution,[],[f731,f596]) ).

fof(f735,plain,
    ! [X0] :
      ( icext(uri_ex_z,X0)
      | ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c) ),
    inference(duplicate_literal_removal,[],[f734]) ).

fof(f736,plain,
    ! [X0] : icext(uri_ex_z,X0),
    inference(forward_subsumption_resolution,[],[f735,f597]) ).

fof(f737,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f736,f708]) ).

fof(f740,plain,
    ( $false
    | ~ spl4_3 ),
    inference(resolution,[],[f709,f652]) ).

fof(f743,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f740]) ).

cnf(s4,plain,
    spl4_3,
    inference(sat_conversion,[],[f737]) ).

cnf(s5,plain,
    ~ spl4_3,
    inference(sat_conversion,[],[f743]) ).

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

fof(f752,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB083+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n007.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 07:15:40 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 3.90/1.53  % (2216871)Detected formulas, will run a generic FOF schedule.
% 3.90/1.53  % (2216879)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2977790316:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.90/1.53  % (2216879)Refutation not found, incomplete strategy
% 3.90/1.53  % (2216879)------------------------------
% 3.90/1.53  % (2216879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.53  % (2216879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.53  % (2216879)CaDiCaL version: 2.1.3
% 3.90/1.53  % (2216879)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.53  % (2216879)Time elapsed: 0.001 s
% 3.90/1.53  % (2216879)Peak memory usage: 87 MB
% 3.90/1.53  % (2216879)Instructions burned: 1 (million)
% 3.90/1.53  % (2216877)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=2387154220:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.90/1.53  % (2216880)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=917091859:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.90/1.53  % (2216881)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3754538929:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.90/1.53  % (2216876)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=4147336894:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.90/1.53  % (2216882)dis-21_1_sil=8000:lcm=predicate:random_seed=3197966043: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)
% 3.90/1.53  % (2216878)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=2691830592:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.90/1.53  % (2216880)Refutation not found, incomplete strategy
% 3.90/1.53  % (2216880)------------------------------
% 3.90/1.53  % (2216880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.53  % (2216880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.53  % (2216880)CaDiCaL version: 2.1.3
% 3.90/1.53  % (2216880)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.53  % (2216880)Time elapsed: 0.002 s
% 3.90/1.53  % (2216880)Peak memory usage: 87 MB
% 3.90/1.53  % (2216880)Instructions burned: 1 (million)
% 3.90/1.53  % (2216882)Instruction limit reached! 
% 3.90/1.53  % (2216882)------------------------------
% 3.90/1.53  % (2216882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.53  % (2216882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.53  % (2216882)CaDiCaL version: 2.1.3
% 3.90/1.53  % (2216882)Termination reason: Instruction limit
% 3.90/1.53  % (2216882)Termination phase: Saturation
% 3.90/1.53  % (2216882)Time elapsed: 0.069 s
% 3.90/1.53  % (2216882)Peak memory usage: 91 MB
% 3.90/1.53  % (2216882)Instructions burned: 131 (million)
% 3.90/1.53  % (2216881)Instruction limit reached! 
% 3.90/1.53  % (2216881)------------------------------
% 3.90/1.53  % (2216881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.53  % (2216881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.53  % (2216881)CaDiCaL version: 2.1.3
% 3.90/1.53  % (2216881)Termination reason: Instruction limit
% 3.90/1.53  % (2216881)Termination phase: Saturation
% 3.90/1.53  % (2216881)Time elapsed: 0.083 s
% 3.90/1.53  % (2216881)Peak memory usage: 91 MB
% 3.90/1.53  % (2216881)Instructions burned: 140 (million)
% 3.90/1.53  % (2216879)------------------------------
% 3.90/1.53  % (2216879)------------------------------
% 3.90/1.53  % (2216892)lrs+1011_1_sil=32000:sp=occurrence:random_seed=673233283:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.90/1.53  % (2216892)Refutation not found, incomplete strategy
% 3.90/1.53  % (2216892)------------------------------
% 3.90/1.53  % (2216892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.53  % (2216892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.53  % (2216892)CaDiCaL version: 2.1.3
% 3.90/1.53  % (2216892)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.53  % (2216892)Time elapsed: 0.001 s
% 3.90/1.53  % (2216892)Peak memory usage: 88 MB
% 5.33/1.72  % (2216892)Instructions burned: 2 (million)
% 5.33/1.72  % (2216891)lrs+10_1_sil=32000:urr=on:br=off:random_seed=555068257:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.33/1.72  % (2216890)lrs+10_1_sil=8000:sp=occurrence:random_seed=2497527200:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.33/1.72  % (2216891)Refutation not found, incomplete strategy
% 5.33/1.72  % (2216891)------------------------------
% 5.33/1.72  % (2216891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.72  % (2216891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.72  % (2216891)CaDiCaL version: 2.1.3
% 5.33/1.72  % (2216891)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.72  % (2216891)Time elapsed: 0.003 s
% 5.33/1.72  % (2216891)Peak memory usage: 88 MB
% 5.33/1.72  % (2216891)Instructions burned: 5 (million)
% 5.33/1.72  % (2216890)First to succeed.
% 5.33/1.72  % (2216890)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2216871"
% 5.33/1.72  % (2216880)------------------------------
% 5.33/1.72  % (2216880)------------------------------
% 5.33/1.72  % (2216892)------------------------------
% 5.33/1.72  % (2216892)------------------------------
% 5.33/1.72  % (2216896)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=1820060082:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.33/1.72  % (2216891)------------------------------
% 5.33/1.72  % (2216891)------------------------------
% 5.33/1.72  % (2216896)Also succeeded, but the first one will report.
% 5.33/1.72  % (2216890)Refutation found. Thanks to Tanya!
% 5.33/1.72  % SZS status Theorem for theBenchmark
% 5.33/1.72  % SZS output start Proof for theBenchmark
% See solution above
% 5.33/1.72  % (2216890)------------------------------
% 5.33/1.72  % (2216890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.72  % (2216890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.72  % (2216890)CaDiCaL version: 2.1.3
% 5.33/1.72  % (2216890)Termination reason: Refutation
% 5.33/1.72  % (2216890)Time elapsed: 0.006 s
% 5.33/1.72  % (2216890)Peak memory usage: 90 MB
% 5.33/1.72  % (2216890)Instructions burned: 6 (million)
% 5.33/1.72  % (2216890)------------------------------
% 5.33/1.72  % (2216890)------------------------------
% 5.33/1.72  % (2216871)Success in time 0.676 s
% 5.33/1.72  % Vampire exiting
%------------------------------------------------------------------------------