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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWB019+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% 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 : Thu Sep 24 09:00:59 AM UTC 2026

% Result   : Unsatisfiable 0.09s 0.38s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :  113 (   0 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  133 (  44   ~;  41   |;  47   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   67 (   2 sgn  52   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_eqdis_propertydisjointwith,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ! [X,Y] :
            ~ ( iext(P2,X,Y)
              & iext(P1,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    file('theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(testcase_premise_fullish_019_Disjoint_Annotation_Properties,axiom,
    ( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty) ),
    file('theBenchmark.p',testcase_premise_fullish_019_Disjoint_Annotation_Properties) ).

fof(f_1_1,plain,
    ! [P1,P2] :
      ( ( iext(uri_owl_propertyDisjointWith,P1,P2)
        | ? [X,Y] :
            ( iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1) )
      & ( ( ! [X,Y] :
              ( ~ iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(fof_nnf,[status(thm)],[owl_eqdis_propertydisjointwith]) ).

fof(f_1_2,plain,
    ! [U_5,U_4] :
      ( ( iext(uri_owl_propertyDisjointWith,U_5,U_4)
        | ? [U_3,U_2] :
            ( iext(U_4,U_3,U_2)
            & iext(U_5,U_3,U_2) )
        | ~ ip(U_4)
        | ~ ip(U_5) )
      & ( ( ! [U_1,U_0] :
              ( ~ iext(U_4,U_1,U_0)
              | ~ iext(U_5,U_1,U_0) )
          & ip(U_4)
          & ip(U_5) )
        | ~ iext(uri_owl_propertyDisjointWith,U_5,U_4) ) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_9,U_7] :
        ( iext(uri_owl_propertyDisjointWith,U_9,U_7)
        | ? [U_3,U_2] :
            ( iext(U_7,U_3,U_2)
            & iext(U_9,U_3,U_2) )
        | ~ ip(U_7)
        | ~ ip(U_9) )
    & ! [U_8,U_6] :
        ( ( ! [U_1,U_0] :
              ( ~ iext(U_6,U_1,U_0)
              | ~ iext(U_8,U_1,U_0) )
          & ip(U_6)
          & ip(U_8) )
        | ~ iext(uri_owl_propertyDisjointWith,U_8,U_6) ) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

fof(f_1_4,plain,
    ( ! [U_9,U_7] :
        ( iext(uri_owl_propertyDisjointWith,U_9,U_7)
        | ? [U_2] :
            ( iext(U_7,sK1(U_9,U_7),U_2)
            & iext(U_9,sK1(U_9,U_7),U_2) )
        | ~ ip(U_7)
        | ~ ip(U_9) )
    & ! [U_8,U_6] :
        ( ( ! [U_1,U_0] :
              ( ~ iext(U_6,U_1,U_0)
              | ~ iext(U_8,U_1,U_0) )
          & ip(U_6)
          & ip(U_8) )
        | ~ iext(uri_owl_propertyDisjointWith,U_8,U_6) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1(U_9,U_7))],[f_1_3]) ).

fof(f_1_5,plain,
    ( ! [U_9,U_7] :
        ( iext(uri_owl_propertyDisjointWith,U_9,U_7)
        | ( iext(U_7,sK1(U_9,U_7),sK2(U_9,U_7))
          & iext(U_9,sK1(U_9,U_7),sK2(U_9,U_7)) )
        | ~ ip(U_7)
        | ~ ip(U_9) )
    & ! [U_8,U_6] :
        ( ( ! [U_1,U_0] :
              ( ~ iext(U_6,U_1,U_0)
              | ~ iext(U_8,U_1,U_0) )
          & ip(U_6)
          & ip(U_8) )
        | ~ iext(uri_owl_propertyDisjointWith,U_8,U_6) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2(U_9,U_7))],[f_1_4]) ).

fof(f_1_6,plain,
    ( ! [U_7,U_9] :
        ( iext(U_7,sK1(U_9,U_7),sK2(U_9,U_7))
        | ~ sP1(U_7,U_9) )
    & ! [U_7,U_9] :
        ( iext(U_9,sK1(U_9,U_7),sK2(U_9,U_7))
        | ~ sP1(U_7,U_9) )
    & ! [U_1,U_0,U_6,U_8] :
        ( ~ iext(U_6,U_1,U_0)
        | ~ iext(U_8,U_1,U_0)
        | ~ sP0(U_1,U_0,U_6,U_8) )
    & ! [U_1,U_0,U_6,U_8] :
        ( ip(U_6)
        | ~ sP0(U_1,U_0,U_6,U_8) )
    & ! [U_1,U_0,U_6,U_8] :
        ( ip(U_8)
        | ~ sP0(U_1,U_0,U_6,U_8) )
    & ! [U_7,U_9] :
        ( iext(uri_owl_propertyDisjointWith,U_9,U_7)
        | sP1(U_7,U_9)
        | ~ ip(U_7)
        | ~ ip(U_9) )
    & ! [U_1,U_0,U_6,U_8] :
        ( sP0(U_1,U_0,U_6,U_8)
        | ~ iext(uri_owl_propertyDisjointWith,U_8,U_6) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_1_5]) ).

cnf(f_1_7,plain,
    ( sP0(U_1,U_0,U_6,U_8)
    | ~ iext(uri_owl_propertyDisjointWith,U_8,U_6) ),
    inference(clausify,[status(thm)],[f_1_6]) ).

cnf(f_1_11,plain,
    ( ~ iext(U_6,U_1,U_0)
    | ~ iext(U_8,U_1,U_0)
    | ~ sP0(U_1,U_0,U_6,U_8) ),
    inference(clausify,[status(thm)],[f_1_6]) ).

fof(f_2_1,plain,
    ( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty) ),
    inference(fof_nnf,[status(thm)],[testcase_premise_fullish_019_Disjoint_Annotation_Properties]) ).

fof(f_2_2,plain,
    ( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty) ),
    inference(definitional_conversion,[status(esa)],[f_2_1]) ).

cnf(f_2_7,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(clausify,[status(thm)],[f_2_2]) ).

cnf(f_2_8,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(clausify,[status(thm)],[f_2_2]) ).

cnf(f_2_9,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(clausify,[status(thm)],[f_2_2]) ).

cnf(t1,plain,
    ( ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    | ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
    | ~ sP0(uri_ex_foo,literal_plain(dat_str_foo),uri_skos_altLabel,uri_skos_prefLabel) ),
    inference(start,[status(thm),parent(0:0)],[f_1_11]) ).

cnf(t2,plain,
    ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    | sP0(uri_ex_foo,literal_plain(dat_str_foo),uri_skos_altLabel,uri_skos_prefLabel) ),
    inference(extension,[status(thm),parent(t1:1)],[f_1_7]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(extension,[status(thm),parent(t2:2)],[f_2_7]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(extension,[status(thm),parent(t1:2)],[f_2_9]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t1:2]) ).

cnf(t8,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(extension,[status(thm),parent(t1:3)],[f_2_8]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB019+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n007.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 01:06:49 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.38  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------