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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 09:00:55 AM UTC 2026

% Result   : Unsatisfiable 0.09s 0.39s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   33 (  12 unt;   0 def)
%            Number of atoms       :  117 (   0 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  134 (  50   ~;  47   |;  35   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   62 (   1 sgn  51   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('theBenchmark.p',rdfs_cext_def) ).

fof(owl_eqdis_disjointwith,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ! [X] :
            ~ ( icext(C2,X)
              & icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('theBenchmark.p',owl_eqdis_disjointwith) ).

fof(testcase_premise_fullish_011_Entity_Types_as_Classes,axiom,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    file('theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).

fof(f_1_1,plain,
    ! [X,C] :
      ( ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).

fof(f_1_2,plain,
    ! [U_1,U_0] :
      ( ( iext(uri_rdf_type,U_1,U_0)
        | ~ icext(U_0,U_1) )
      & ( icext(U_0,U_1)
        | ~ iext(uri_rdf_type,U_1,U_0) ) ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ( ! [U_5,U_3] :
        ( iext(uri_rdf_type,U_5,U_3)
        | ~ icext(U_3,U_5) )
    & ! [U_4,U_2] :
        ( icext(U_2,U_4)
        | ~ iext(uri_rdf_type,U_4,U_2) ) ),
    inference(miniscope,[status(thm)],[f_1_2]) ).

fof(f_1_4,plain,
    ( ! [U_5,U_3] :
        ( iext(uri_rdf_type,U_5,U_3)
        | ~ icext(U_3,U_5) )
    & ! [U_4,U_2] :
        ( icext(U_2,U_4)
        | ~ iext(uri_rdf_type,U_4,U_2) ) ),
    inference(definitional_conversion,[status(esa)],[f_1_3]) ).

cnf(f_1_5,plain,
    ( icext(U_2,U_4)
    | ~ iext(uri_rdf_type,U_4,U_2) ),
    inference(clausify,[status(thm)],[f_1_4]) ).

fof(f_2_1,plain,
    ! [C1,C2] :
      ( ( iext(uri_owl_disjointWith,C1,C2)
        | ? [X] :
            ( icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1) )
      & ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(fof_nnf,[status(thm)],[owl_eqdis_disjointwith]) ).

fof(f_2_2,plain,
    ! [U_9,U_8] :
      ( ( iext(uri_owl_disjointWith,U_9,U_8)
        | ? [U_7] :
            ( icext(U_8,U_7)
            & icext(U_9,U_7) )
        | ~ ic(U_8)
        | ~ ic(U_9) )
      & ( ( ! [U_6] :
              ( ~ icext(U_8,U_6)
              | ~ icext(U_9,U_6) )
          & ic(U_8)
          & ic(U_9) )
        | ~ iext(uri_owl_disjointWith,U_9,U_8) ) ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ( ! [U_13,U_11] :
        ( iext(uri_owl_disjointWith,U_13,U_11)
        | ? [U_7] :
            ( icext(U_11,U_7)
            & icext(U_13,U_7) )
        | ~ ic(U_11)
        | ~ ic(U_13) )
    & ! [U_12,U_10] :
        ( ( ! [U_6] :
              ( ~ icext(U_10,U_6)
              | ~ icext(U_12,U_6) )
          & ic(U_10)
          & ic(U_12) )
        | ~ iext(uri_owl_disjointWith,U_12,U_10) ) ),
    inference(miniscope,[status(thm)],[f_2_2]) ).

fof(f_2_4,plain,
    ( ! [U_13,U_11] :
        ( iext(uri_owl_disjointWith,U_13,U_11)
        | ( icext(U_11,sK1(U_13,U_11))
          & icext(U_13,sK1(U_13,U_11)) )
        | ~ ic(U_11)
        | ~ ic(U_13) )
    & ! [U_12,U_10] :
        ( ( ! [U_6] :
              ( ~ icext(U_10,U_6)
              | ~ icext(U_12,U_6) )
          & ic(U_10)
          & ic(U_12) )
        | ~ iext(uri_owl_disjointWith,U_12,U_10) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_7,sK1(U_13,U_11))],[f_2_3]) ).

fof(f_2_5,plain,
    ( ! [U_11,U_13] :
        ( icext(U_11,sK1(U_13,U_11))
        | ~ sP1(U_11,U_13) )
    & ! [U_11,U_13] :
        ( icext(U_13,sK1(U_13,U_11))
        | ~ sP1(U_11,U_13) )
    & ! [U_6,U_12,U_10] :
        ( ~ icext(U_10,U_6)
        | ~ icext(U_12,U_6)
        | ~ sP0(U_6,U_12,U_10) )
    & ! [U_6,U_12,U_10] :
        ( ic(U_10)
        | ~ sP0(U_6,U_12,U_10) )
    & ! [U_6,U_12,U_10] :
        ( ic(U_12)
        | ~ sP0(U_6,U_12,U_10) )
    & ! [U_11,U_13] :
        ( iext(uri_owl_disjointWith,U_13,U_11)
        | sP1(U_11,U_13)
        | ~ ic(U_11)
        | ~ ic(U_13) )
    & ! [U_6,U_12,U_10] :
        ( sP0(U_6,U_12,U_10)
        | ~ iext(uri_owl_disjointWith,U_12,U_10) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_2_4]) ).

cnf(f_2_6,plain,
    ( sP0(U_6,U_12,U_10)
    | ~ iext(uri_owl_disjointWith,U_12,U_10) ),
    inference(clausify,[status(thm)],[f_2_5]) ).

cnf(f_2_10,plain,
    ( ~ icext(U_10,U_6)
    | ~ icext(U_12,U_6)
    | ~ sP0(U_6,U_12,U_10) ),
    inference(clausify,[status(thm)],[f_2_5]) ).

fof(f_3_1,plain,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(fof_nnf,[status(thm)],[testcase_premise_fullish_011_Entity_Types_as_Classes]) ).

fof(f_3_2,plain,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(definitional_conversion,[status(esa)],[f_3_1]) ).

cnf(f_3_3,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(clausify,[status(thm)],[f_3_2]) ).

cnf(f_3_4,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(clausify,[status(thm)],[f_3_2]) ).

cnf(f_3_5,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(clausify,[status(thm)],[f_3_2]) ).

cnf(t1,plain,
    ( ~ icext(uri_owl_Class,uri_ex_x)
    | ~ icext(uri_owl_ObjectProperty,uri_ex_x)
    | ~ sP0(uri_ex_x,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(start,[status(thm),parent(0:0)],[f_2_10]) ).

cnf(t2,plain,
    ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
    | sP0(uri_ex_x,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(extension,[status(thm),parent(t1:1)],[f_2_6]) ).

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

cnf(t4,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(extension,[status(thm),parent(t2:2)],[f_3_3]) ).

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

cnf(t6,plain,
    ( ~ iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    | icext(uri_owl_ObjectProperty,uri_ex_x) ),
    inference(extension,[status(thm),parent(t1:2)],[f_1_5]) ).

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

cnf(t8,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(extension,[status(thm),parent(t6:2)],[f_3_5]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    ( ~ iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    | icext(uri_owl_Class,uri_ex_x) ),
    inference(extension,[status(thm),parent(t1:3)],[f_1_5]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t1:3]) ).

cnf(t12,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(extension,[status(thm),parent(t10:2)],[f_3_4]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  This is a FOF_UNS_RFO_NEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n018.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
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 01:05:56 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.09/0.39  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------