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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB017+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 : n017.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 01:00:06 PM UTC 2026

% Result   : Theorem 3.38s 1.17s
% Output   : Refutation 3.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   77 (   5 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   89 (  35   ~;  27   |;  24   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   42 (  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f353,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ~ ( iext(X0,X2,X3)
              & iext(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f559,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

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

fof(f561,axiom,
    ( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

fof(f572,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f800,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X1,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f353]) ).

fof(f1320,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f1358,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f800]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(flattening,[],[f1358]) ).

fof(f1360,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(rectify,[],[f1359]) ).

fof(f1361,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ( iext(X0,sK178(X0,X1),sK179(X0,X1))
          & iext(X1,sK178(X0,X1),sK179(X0,X1)) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK178,sK179]),skolemize(X2,sK178(X0,X1)),skolemize(X3,sK179(X0,X1))],[f1360]) ).

fof(f2321,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f2391,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
      | ~ iext(X1,X4,X5)
      | ~ iext(X0,X4,X5) ),
    inference(cnf_transformation,[],[f1361]) ).

fof(f2749,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f572]) ).

fof(f2750,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f2751,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f2752,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f561]) ).

fof(f2775,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[],[f2321,f2749]) ).

fof(f2777,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(superposition,[],[f2750,f2775]) ).

fof(f2798,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_notInstanceOf,X0,X1)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(resolution,[],[f2391,f2752]) ).

fof(f2990,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(resolution,[],[f2798,f2777]) ).

fof(f2991,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2990,f2751]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB017+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n017.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 06:55:51 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 3.38/1.17  % (3361243)Detected formulas, will run a generic FOF schedule.
% 3.38/1.17  % (3361248)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=3654224519:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.38/1.17  % (3361251)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2109238119:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.38/1.17  % (3361254)dis-21_1_sil=8000:lcm=predicate:random_seed=1814371536: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)
% 3.38/1.17  % (3361250)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=944619760:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.38/1.17  % (3361253)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=918922007:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.38/1.17  % (3361249)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=461700582:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.38/1.17  % (3361252)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1440481415:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.38/1.17  % (3361252)Refutation not found, incomplete strategy
% 3.38/1.17  % (3361252)------------------------------
% 3.38/1.17  % (3361252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.17  % (3361252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.17  % (3361251)Refutation not found, incomplete strategy
% 3.38/1.17  % (3361251)------------------------------
% 3.38/1.17  % (3361251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.17  % (3361252)CaDiCaL version: 2.1.3
% 3.38/1.17  % (3361252)Termination reason: Refutation not found, incomplete strategy
% 3.38/1.17  % (3361252)Time elapsed: 0.002 s
% 3.38/1.17  % (3361251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.17  % (3361252)Peak memory usage: 88 MB
% 3.38/1.17  % (3361252)Instructions burned: 2 (million)
% 3.38/1.17  % (3361251)CaDiCaL version: 2.1.3
% 3.38/1.17  % (3361251)Termination reason: Refutation not found, incomplete strategy
% 3.38/1.17  % (3361251)Time elapsed: 0.002 s
% 3.38/1.17  % (3361251)Peak memory usage: 88 MB
% 3.38/1.17  % (3361251)Instructions burned: 2 (million)
% 3.38/1.17  % (3361253)First to succeed.
% 3.38/1.17  % (3361253)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3361243"
% 3.38/1.17  % (3361254)Instruction limit reached! 
% 3.38/1.17  % (3361254)------------------------------
% 3.38/1.17  % (3361254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.17  % (3361254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.17  % (3361254)CaDiCaL version: 2.1.3
% 3.38/1.17  % (3361254)Termination reason: Instruction limit
% 3.38/1.17  % (3361254)Termination phase: Saturation
% 3.38/1.17  % (3361254)Time elapsed: 0.067 s
% 3.38/1.17  % (3361254)Peak memory usage: 91 MB
% 3.38/1.17  % (3361254)Instructions burned: 130 (million)
% 3.38/1.17  % (3361262)lrs+10_1_sil=8000:sp=occurrence:random_seed=3181369570:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.38/1.17  % (3361251)------------------------------
% 3.38/1.17  % (3361251)------------------------------
% 3.38/1.17  % (3361252)------------------------------
% 3.38/1.17  % (3361252)------------------------------
% 3.38/1.17  % (3361262)Also succeeded, but the first one will report.
% 3.38/1.17  % (3361253)Refutation found. Thanks to Tanya!
% 3.38/1.17  % SZS status Theorem for theBenchmark
% 3.38/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 3.38/1.17  % (3361253)------------------------------
% 3.38/1.17  % (3361253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.17  % (3361253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.17  % (3361253)CaDiCaL version: 2.1.3
% 3.38/1.17  % (3361253)Termination reason: Refutation
% 3.38/1.17  % (3361253)Time elapsed: 0.060 s
% 3.38/1.17  % (3361253)Peak memory usage: 90 MB
% 3.38/1.17  % (3361253)Instructions burned: 106 (million)
% 3.38/1.17  % (3361253)------------------------------
% 3.38/1.17  % (3361253)------------------------------
% 3.38/1.17  % (3361243)Success in time 0.453 s
% 3.38/1.17  % Vampire exiting
%------------------------------------------------------------------------------