TSTP Solution File: SWB018+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB018+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 : n014.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 : Tue Apr 30 15:41:49 EDT 2024

% Result   : Theorem 10.14s 1.89s
% Output   : Refutation 10.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :  115 (   5 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  125 (  45   ~;  37   |;  30   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   79 (  71   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100033,plain,
    $false,
    inference(unit_resulting_resolution,[],[f41749,f27526,f26128,f3788]) ).

fof(f3788,plain,
    ! [X0,X1,X4] :
      ( ~ sP40(X0,X1)
      | icext(X0,X4)
      | sP384(X4,X1) ),
    inference(cnf_transformation,[],[f3788_D]) ).

fof(f3788_D,plain,
    ! [X1,X4] :
      ( ! [X0] :
          ( ~ sP40(X0,X1)
          | icext(X0,X4) )
    <=> ~ sP384(X4,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP384])]) ).

fof(f26128,plain,
    sP40(uri_ex_Person,uri_owl_sameAs),
    inference(unit_resulting_resolution,[],[f2479,f3066]) ).

fof(f3066,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_domain,X0,X1)
      | sP40(X1,X0) ),
    inference(cnf_transformation,[],[f1835]) ).

fof(f1835,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_domain,X0,X1)
        | ~ sP40(X1,X0) )
      & ( sP40(X1,X0)
        | ~ iext(uri_rdfs_domain,X0,X1) ) ),
    inference(nnf_transformation,[],[f1397]) ).

fof(f1397,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> sP40(X1,X0) ),
    inference(definition_folding,[],[f1169,f1396]) ).

fof(f1396,plain,
    ! [X1,X0] :
      ( sP40(X1,X0)
    <=> ( ! [X2,X3] :
            ( icext(X1,X2)
            | ~ iext(X0,X2,X3) )
        & ic(X1)
        & ip(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).

fof(f1169,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X2)
            | ~ iext(X0,X2,X3) )
        & ic(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f835]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_domain,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X2) )
        & ic(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f341]) ).

fof(f341,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_domain,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X3) )
        & ic(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_domain) ).

fof(f2479,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f27526,plain,
    ~ icext(uri_ex_Person,uri_ex_u),
    inference(unit_resulting_resolution,[],[f2287,f3069]) ).

fof(f3069,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1836]) ).

fof(f1836,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f836]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2287,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(f41749,plain,
    ! [X0] : ~ sP384(X0,uri_owl_sameAs),
    inference(unit_resulting_resolution,[],[f3751,f3789]) ).

fof(f3789,plain,
    ! [X1,X4,X5] :
      ( ~ iext(X1,X4,X5)
      | ~ sP384(X4,X1) ),
    inference(general_splitting,[],[f3063,f3788_D]) ).

fof(f3063,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X0,X4)
      | ~ iext(X1,X4,X5)
      | ~ sP40(X0,X1) ),
    inference(cnf_transformation,[],[f1834]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( ( sP40(X0,X1)
        | ( ~ icext(X0,sK245(X0,X1))
          & iext(X1,sK245(X0,X1),sK246(X0,X1)) )
        | ~ ic(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X4)
              | ~ iext(X1,X4,X5) )
          & ic(X0)
          & ip(X1) )
        | ~ sP40(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK245,sK246])],[f1832,f1833]) ).

fof(f1833,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X0,X2)
          & iext(X1,X2,X3) )
     => ( ~ icext(X0,sK245(X0,X1))
        & iext(X1,sK245(X0,X1),sK246(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1832,plain,
    ! [X0,X1] :
      ( ( sP40(X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X0,X2)
            & iext(X1,X2,X3) )
        | ~ ic(X0)
        | ~ ip(X1) )
      & ( ( ! [X4,X5] :
              ( icext(X0,X4)
              | ~ iext(X1,X4,X5) )
          & ic(X0)
          & ip(X1) )
        | ~ sP40(X0,X1) ) ),
    inference(rectify,[],[f1831]) ).

fof(f1831,plain,
    ! [X1,X0] :
      ( ( sP40(X1,X0)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) )
          & ic(X1)
          & ip(X0) )
        | ~ sP40(X1,X0) ) ),
    inference(flattening,[],[f1830]) ).

fof(f1830,plain,
    ! [X1,X0] :
      ( ( sP40(X1,X0)
        | ? [X2,X3] :
            ( ~ icext(X1,X2)
            & iext(X0,X2,X3) )
        | ~ ic(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X2)
              | ~ iext(X0,X2,X3) )
          & ic(X1)
          & ip(X0) )
        | ~ sP40(X1,X0) ) ),
    inference(nnf_transformation,[],[f1396]) ).

fof(f3751,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f3039]) ).

fof(f3039,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1811]) ).

fof(f1811,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f831]) ).

fof(f831,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f354]) ).

fof(f354,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_sameAs,X3,X6)
    <=> X3 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWB018+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 02:14:34 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (2474)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40  % (2479)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)
% 0.14/0.40  % (2481)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)
% 0.14/0.40  % (2477)WARNING: value z3 for option sas not known
% 0.14/0.40  % (2480)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)
% 0.14/0.40  % (2478)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40  % (2477)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)
% 0.14/0.40  % (2476)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40  % (2475)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.43/0.59  TRYING [1]
% 1.43/0.62  TRYING [2]
% 3.50/0.92  TRYING [3]
% 4.15/0.97  TRYING [1]
% 4.56/1.05  TRYING [2]
% 8.20/1.56  TRYING [4]
% 8.70/1.65  TRYING [1]
% 9.15/1.68  TRYING [2]
% 10.14/1.89  % (2481)First to succeed.
% 10.14/1.89  % (2481)Refutation found. Thanks to Tanya!
% 10.14/1.89  % SZS status Theorem for theBenchmark
% 10.14/1.89  % SZS output start Proof for theBenchmark
% See solution above
% 10.14/1.89  % (2481)------------------------------
% 10.14/1.89  % (2481)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.14/1.89  % (2481)Termination reason: Refutation
% 10.14/1.89  
% 10.14/1.89  % (2481)Memory used [KB]: 21517
% 10.14/1.89  % (2481)Time elapsed: 1.490 s
% 10.14/1.89  % (2481)Instructions burned: 3350 (million)
% 10.14/1.89  % (2481)------------------------------
% 10.14/1.89  % (2481)------------------------------
% 10.14/1.89  % (2474)Success in time 1.52 s
%------------------------------------------------------------------------------