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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SWB018+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 : n005.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 09:15:52 PM UTC 2025

% Result   : Theorem 2.85s 2.07s
% Output   : CNFRefutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   7   ~;   4   |;   2   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   18 (  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > #nlpp > uri_rdfs_domain > uri_rdf_type > uri_owl_sameAs > uri_ex_w > uri_ex_u > uri_ex_Person

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

tff(f_43,axiom,
    ( iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
    & iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

tff(f_38,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

tff(f_34,axiom,
    ! [P,C,X,Y] :
      ( ( iext(uri_rdfs_domain,P,C)
        & iext(P,X,Y) )
     => icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).

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,negated_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) ).

tff(c_16,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_10,plain,
    ! [Y_8] : iext(uri_owl_sameAs,Y_8,Y_8),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_44,plain,
    ! [C_16,X_17,P_18,Y_19] :
      ( icext(C_16,X_17)
      | ~ iext(P_18,X_17,Y_19)
      | ~ iext(uri_rdfs_domain,P_18,C_16) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_54,plain,
    ! [C_20,Y_21] :
      ( icext(C_20,Y_21)
      | ~ iext(uri_rdfs_domain,uri_owl_sameAs,C_20) ),
    inference(resolution,[status(thm)],[c_10,c_44]) ).

tff(c_57,plain,
    ! [Y_21] : icext(uri_ex_Person,Y_21),
    inference(resolution,[status(thm)],[c_16,c_54]) ).

tff(c_28,plain,
    ! [X_12,C_13] :
      ( iext(uri_rdf_type,X_12,C_13)
      | ~ icext(C_13,X_12) ),
    inference(cnfTransformation,[status(thm)],[f_28]) ).

tff(c_12,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_32,plain,
    ~ icext(uri_ex_Person,uri_ex_u),
    inference(resolution,[status(thm)],[c_28,c_12]) ).

tff(c_60,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_57,c_32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWB018+2 : TPTP v9.0.0. Released v5.2.0.
% 0.00/0.10  % 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
% 0.10/0.30  % Computer : n005.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Apr  9 00:58:27 EDT 2025
% 0.10/0.30  % CPUTime  : 
% 2.85/2.07  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/2.07  
% 3.10/2.07  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------