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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB030+2 : 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 : 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 01:00:49 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   51 (   9 unt;   3 def)
%            Number of atoms       :  137 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  151 (  65   ~;  59   |;  14   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   66 (   0 sgn  65   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_hasSelf,X0,X2)
        & iext(uri_owl_onProperty,X0,X1) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f4,axiom,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X0)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X0,uri_rdf_type)
      & iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

fof(f5,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ! [X2] :
          ( icext(X0,X2)
        <=> ~ icext(X1,X2) ) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f6,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_hasSelf,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f7,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_hasSelf,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( icext(X0,X2)
        <=> ~ icext(X1,X2) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ~ iext(X1,X3,X3) )
          & ( iext(X1,X3,X3)
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_hasSelf,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( icext(X0,X2)
            | icext(X1,X2) )
          & ( ~ icext(X1,X2)
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f12,plain,
    ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_owl_complementOf,uri_ex_c,sK0)
    & iext(uri_rdf_type,sK0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,sK0,uri_rdf_type)
    & iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_hasSelf,X0,X2)
      | iext(X1,X3,X3) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(X1,X3,X3)
      | ~ iext(uri_owl_hasSelf,X0,X2)
      | icext(X0,X3) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | icext(X1,X2)
      | icext(X0,X2) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f19,plain,
    iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f12]) ).

fof(f20,plain,
    iext(uri_owl_onProperty,sK0,uri_rdf_type),
    inference(cnf_transformation,[],[f12]) ).

fof(f22,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK0),
    inference(cnf_transformation,[],[f12]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ icext(sK0,X0)
      | ~ icext(uri_ex_c,X0) ),
    inference(resolution,[],[f17,f22]) ).

fof(f28,plain,
    ! [X0] :
      ( icext(sK0,X0)
      | icext(uri_ex_c,X0) ),
    inference(resolution,[],[f18,f22]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ icext(sK0,X0)
      | ~ iext(uri_owl_hasSelf,sK0,X1)
      | iext(uri_rdf_type,X0,X0) ),
    inference(resolution,[],[f15,f20]) ).

fof(f32,definition,
    ( spl1_1
  <=> ! [X1] : ~ iext(uri_owl_hasSelf,sK0,X1) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f33,plain,
    ( ! [X1] : ~ iext(uri_owl_hasSelf,sK0,X1)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f35,definition,
    ( spl1_2
  <=> ! [X0] :
        ( ~ icext(sK0,X0)
        | iext(uri_rdf_type,X0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f36,plain,
    ( ! [X0] :
        ( iext(uri_rdf_type,X0,X0)
        | ~ icext(sK0,X0) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f37,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f30,f35,f32]) ).

fof(f38,plain,
    ( ! [X0] :
        ( ~ icext(sK0,X0)
        | icext(X0,X0) )
    | ~ spl1_2 ),
    inference(resolution,[],[f36,f13]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X0)
      | ~ iext(uri_owl_hasSelf,sK0,X1)
      | icext(sK0,X0) ),
    inference(resolution,[],[f16,f20]) ).

fof(f41,definition,
    ( spl1_3
  <=> ! [X0] :
        ( ~ iext(uri_rdf_type,X0,X0)
        | icext(sK0,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f42,plain,
    ( ! [X0] :
        ( ~ iext(uri_rdf_type,X0,X0)
        | icext(sK0,X0) )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f43,plain,
    ( spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f39,f41,f32]) ).

fof(f44,plain,
    ( $false
    | ~ spl1_1 ),
    inference(resolution,[],[f33,f19]) ).

fof(f45,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f44]) ).

fof(f46,plain,
    ( ! [X0] :
        ( ~ icext(X0,X0)
        | icext(sK0,X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f42,f14]) ).

fof(f48,plain,
    ( ! [X0] :
        ( icext(X0,X0)
        | icext(uri_ex_c,X0) )
    | ~ spl1_2 ),
    inference(resolution,[],[f38,f28]) ).

fof(f53,plain,
    ( icext(uri_ex_c,uri_ex_c)
    | ~ spl1_2 ),
    inference(factoring,[],[f48]) ).

fof(f54,plain,
    ( icext(sK0,uri_ex_c)
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(resolution,[],[f53,f46]) ).

fof(f56,plain,
    ( ~ icext(uri_ex_c,uri_ex_c)
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(resolution,[],[f54,f27]) ).

fof(f57,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_3 ),
    inference(forward_subsumption_resolution,[],[f56,f53]) ).

fof(f58,plain,
    ( ~ spl1_2
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f57]) ).

cnf(s1,plain,
    ( spl1_1
    | spl1_2 ),
    inference(sat_conversion,[],[f37]) ).

cnf(s2,plain,
    ( spl1_1
    | spl1_3 ),
    inference(sat_conversion,[],[f43]) ).

cnf(s3,plain,
    ~ spl1_1,
    inference(sat_conversion,[],[f45]) ).

cnf(s4,plain,
    ( ~ spl1_2
    | ~ spl1_3 ),
    inference(sat_conversion,[],[f58]) ).

cnf(s5,plain,
    spl1_3,
    inference(rat,[],[s2,s3]) ).

cnf(s6,plain,
    ~ spl1_2,
    inference(rat,[],[s4,s5]) ).

cnf(s7,plain,
    $false,
    inference(rat,[],[s1,s6,s3]) ).

fof(f59,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.42  % Computer : n007.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Mon Sep 28 07:05:26 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.46  Running first-order model finding
% 0.20/0.46  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
% 0.20/0.48  % (2209082)Will run a generic schedule for satisfiability detection.
% 0.20/0.48  % (2209094)dis+10_1_sil=32000:sp=arity:random_seed=2328726682:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.20/0.48  % (2209094) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2209082-2209094"...
% 0.20/0.48  % (2209094)...printing done.
% 0.20/0.48  % (2209094)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (2209094)------------------------------
% 0.20/0.49  % (2209094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.49  % (2209094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.49  % (2209094)CaDiCaL version: 2.1.3
% 0.20/0.49  % (2209094)Termination reason: Refutation
% 0.20/0.49  % (2209094)Time elapsed: 0.001 s
% 0.20/0.49  % (2209094)Peak memory usage: 12 MB
% 0.20/0.49  % (2209094)Instructions burned: 2 (million)
% 0.20/0.49  % (2209082)Success in time 0.016 s
% 0.20/0.49  % Vampire exiting
%------------------------------------------------------------------------------