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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB017+1 : 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 : n020.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 01:00:38 PM UTC 2026

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            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 :   90 (  36   ~;  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/sandbox/benchmark/Axioms/SWB001+0.ax',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/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_propertydisjointwith) ).

fof(f559,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/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/sandbox/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(f3166,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_notInstanceOf,X0,X1)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(resolution,[],[f2752,f2391]) ).

fof(f3174,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_c),
    inference(resolution,[],[f3166,f2750]) ).

fof(f3748,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[],[f2321,f2749]) ).

fof(f3753,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(superposition,[],[f3174,f3748]) ).

fof(f3756,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3753,f2751]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB017+1 : 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 : n020.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 07:01:20 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.39  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
% 0.18/0.52  % (8909)Will run a generic schedule for satisfiability detection.
% 0.18/0.52  % (8915)% WARNING: option uhcvi not known.
% 0.18/0.52  % (8915)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=477251620:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.52  % (8914)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3536068976_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.52  % (8916)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2408833819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.52  % (8917)dis+10_1_sil=32000:sp=arity:random_seed=1868875886:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.52  % (8918)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2002564045:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.52  % (8919)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3842971966:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.52  % (8920)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3269313789:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.52  % (8916) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-8909-8916"...
% 0.18/0.52  % (8916)...printing done.
% 0.18/0.52  % (8916)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (8916)------------------------------
% 0.18/0.52  % (8916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.52  % (8916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.52  % (8916)CaDiCaL version: 2.1.3
% 0.18/0.52  % (8916)Termination reason: Refutation
% 0.18/0.52  % (8916)Time elapsed: 0.052 s
% 0.18/0.52  % (8916)Peak memory usage: 14 MB
% 0.18/0.52  % (8916)Instructions burned: 93 (million)
% 0.18/0.52  % (8909)Success in time 0.099 s
% 0.18/0.52  % Vampire exiting
%------------------------------------------------------------------------------