TSTP Solution File: SWB017+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB017+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:46:40 EDT 2024

% Result   : Theorem 20.53s 3.30s
% Output   : Refutation 20.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   99 (   6 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  109 (  39   ~;  30   |;  32   &)
%                                         (   7 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   60 (  52   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216096,plain,
    $false,
    inference(unit_resulting_resolution,[],[f23760,f23756,f2480,f3036]) ).

fof(f3036,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(X0,X4,X5)
      | ~ iext(X1,X4,X5)
      | ~ sP36(X0,X1) ),
    inference(cnf_transformation,[],[f1810]) ).

fof(f1810,plain,
    ! [X0,X1] :
      ( ( sP36(X0,X1)
        | ( iext(X0,sK238(X0,X1),sK239(X0,X1))
          & iext(X1,sK238(X0,X1),sK239(X0,X1)) )
        | ~ ip(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) )
          & ip(X0)
          & ip(X1) )
        | ~ sP36(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK238,sK239])],[f1808,f1809]) ).

fof(f1809,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( iext(X0,X2,X3)
          & iext(X1,X2,X3) )
     => ( iext(X0,sK238(X0,X1),sK239(X0,X1))
        & iext(X1,sK238(X0,X1),sK239(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1808,plain,
    ! [X0,X1] :
      ( ( sP36(X0,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) )
          & ip(X0)
          & ip(X1) )
        | ~ sP36(X0,X1) ) ),
    inference(rectify,[],[f1807]) ).

fof(f1807,plain,
    ! [X1,X0] :
      ( ( sP36(X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ sP36(X1,X0) ) ),
    inference(flattening,[],[f1806]) ).

fof(f1806,plain,
    ! [X1,X0] :
      ( ( sP36(X1,X0)
        | ? [X2,X3] :
            ( iext(X1,X2,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( ~ iext(X1,X2,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ sP36(X1,X0) ) ),
    inference(nnf_transformation,[],[f1388]) ).

fof(f1388,plain,
    ! [X1,X0] :
      ( sP36(X1,X0)
    <=> ( ! [X2,X3] :
            ( ~ iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).

fof(f2480,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

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

fof(f23756,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(superposition,[],[f2481,f23750]) ).

fof(f23750,plain,
    uri_ex_w = uri_ex_u,
    inference(unit_resulting_resolution,[],[f2287,f3033]) ).

fof(f3033,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1805]) ).

fof(f1805,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_differentFrom,X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ~ iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f830]) ).

fof(f830,plain,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    inference(rectify,[],[f345]) ).

fof(f345,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_differentFrom,X3,X6)
    <=> X3 != X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f2287,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

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

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(f2481,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f23760,plain,
    sP36(uri_rdf_type,uri_ex_notInstanceOf),
    inference(unit_resulting_resolution,[],[f2479,f3039]) ).

fof(f3039,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
      | sP36(X1,X0) ),
    inference(cnf_transformation,[],[f1811]) ).

fof(f1811,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ sP36(X1,X0) )
      & ( sP36(X1,X0)
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f1389]) ).

fof(f1389,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> sP36(X1,X0) ),
    inference(definition_folding,[],[f1165,f1388]) ).

fof(f1165,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X2,X3] :
            ( ~ iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f831]) ).

fof(f831,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ! [X2,X3] :
            ~ ( iext(X1,X2,X3)
              & iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f353]) ).

fof(f353,axiom,
    ! [X32,X33] :
      ( iext(uri_owl_propertyDisjointWith,X32,X33)
    <=> ( ! [X3,X6] :
            ~ ( iext(X33,X3,X6)
              & iext(X32,X3,X6) )
        & ip(X33)
        & ip(X32) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f2479,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[],[f561]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWB017+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 18:43:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (5113)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (5124)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39  % (5126)WARNING: value z3 for option sas not known
% 0.13/0.39  % (5125)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.39  % (5127)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39  % (5126)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39  % (5129)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39  % (5130)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.39  % (5128)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 2.00/0.65  TRYING [1]
% 2.00/0.68  TRYING [2]
% 4.10/0.97  TRYING [3]
% 6.15/1.29  TRYING [1]
% 7.19/1.39  TRYING [2]
% 8.82/1.65  TRYING [1]
% 8.82/1.68  TRYING [2]
% 10.77/1.91  TRYING [4]
% 11.36/2.01  TRYING [3]
% 18.57/3.02  TRYING [4]
% 18.57/3.06  TRYING [3]
% 20.40/3.29  % (5130)First to succeed.
% 20.40/3.29  % (5130)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5113"
% 20.53/3.30  % (5130)Refutation found. Thanks to Tanya!
% 20.53/3.30  % SZS status Theorem for theBenchmark
% 20.53/3.30  % SZS output start Proof for theBenchmark
% See solution above
% 20.53/3.30  % (5130)------------------------------
% 20.53/3.30  % (5130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 20.53/3.30  % (5130)Termination reason: Refutation
% 20.53/3.30  
% 20.53/3.30  % (5130)Memory used [KB]: 44745
% 20.53/3.30  % (5130)Time elapsed: 2.904 s
% 20.53/3.30  % (5130)Instructions burned: 7651 (million)
% 20.53/3.30  % (5113)Success in time 2.943 s
%------------------------------------------------------------------------------