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Beagle---0.9.52.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SWB011+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n031.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 : Wed Apr  9 09:15:48 PM UTC 2025

% Result   : Unsatisfiable 2.74s 1.77s
% Output   : CNFRefutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   19 (   8   ~;   4   |;   5   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > ic > #nlpp > uri_rdf_type > uri_owl_disjointWith > uri_owl_ObjectProperty > uri_owl_Class > uri_ex_x > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(uri_ex_x,type,
    uri_ex_x: $i ).

tff(uri_rdf_type,type,
    uri_rdf_type: $i ).

tff(icext,type,
    icext: ( $i * $i ) > $o ).

tff(uri_owl_disjointWith,type,
    uri_owl_disjointWith: $i ).

tff(ic,type,
    ic: $i > $o ).

tff(uri_owl_ObjectProperty,type,
    uri_owl_ObjectProperty: $i ).

tff(uri_owl_Class,type,
    uri_owl_Class: $i ).

tff(iext,type,
    iext: ( $i * $i * $i ) > $o ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(f_45,axiom,
    ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).

tff(f_28,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

tff(f_40,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ~ ( icext(C1,X)
              & icext(C2,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

tff(c_18,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_32,plain,
    ! [C_14,X_15] :
      ( icext(C_14,X_15)
      | ~ iext(uri_rdf_type,X_15,C_14) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_44,plain,
    icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[status(thm)],[c_18,c_32]) ).

tff(c_20,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_16,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_43,plain,
    icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(resolution,[status(thm)],[c_16,c_32]) ).

tff(c_6,plain,
    ! [C2_4,X_7,C1_3] :
      ( ~ icext(C2_4,X_7)
      | ~ icext(C1_3,X_7)
      | ~ iext(uri_owl_disjointWith,C1_3,C2_4) ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_53,plain,
    ! [C1_20] :
      ( ~ icext(C1_20,uri_ex_x)
      | ~ iext(uri_owl_disjointWith,C1_20,uri_owl_ObjectProperty) ),
    inference(resolution,[status(thm)],[c_43,c_6]) ).

tff(c_56,plain,
    ~ icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[status(thm)],[c_20,c_53]) ).

tff(c_60,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_44,c_56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWB011+2 : TPTP v9.0.0. Released v5.2.0.
% 0.08/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Apr  9 00:55:07 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 2.74/1.77  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/1.78  
% 3.00/1.78  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------