%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWB008+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 : n008.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 09:15:47 PM UTC 2025
% Result : Theorem 3.04s 1.83s
% Output : CNFRefutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 26 ( 10 ~; 7 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > ip > #nlpp > literal_plain > uri_rdf_type > uri_owl_sameAs > uri_owl_InverseFunctionalProperty > uri_owl_DatatypeProperty > uri_foaf_mbox_sha1sum > uri_ex_robert > uri_ex_bob > dat_str_xyz > #skF_2 > #skF_1 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_owl_InverseFunctionalProperty,type,
uri_owl_InverseFunctionalProperty: $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(dat_str_xyz,type,
dat_str_xyz: $i ).
tff(uri_ex_bob,type,
uri_ex_bob: $i ).
tff(icext,type,
icext: ( $i * $i ) > $o ).
tff(ip,type,
ip: $i > $o ).
tff(uri_ex_robert,type,
uri_ex_robert: $i ).
tff(uri_foaf_mbox_sha1sum,type,
uri_foaf_mbox_sha1sum: $i ).
tff(uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_owl_DatatypeProperty,type,
uri_owl_DatatypeProperty: $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(literal_plain,type,
literal_plain: $i > $i ).
tff(f_32,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
tff(f_52,axiom,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
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_43,axiom,
! [P] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1,X2,Y] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
tff(f_45,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
tff(c_8,plain,
! [Y_4] : iext(uri_owl_sameAs,Y_4,Y_4),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_22,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_26,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_37,plain,
! [C_19,X_20] :
( icext(C_19,X_20)
| ~ iext(uri_rdf_type,X_20,C_19) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_44,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolution,[status(thm)],[c_26,c_37]) ).
tff(c_24,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_83,plain,
! [X2_26,X1_27,P_28,Y_29] :
( ( X2_26 = X1_27 )
| ~ iext(P_28,X2_26,Y_29)
| ~ iext(P_28,X1_27,Y_29)
| ~ icext(uri_owl_InverseFunctionalProperty,P_28) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_91,plain,
! [X1_27] :
( ( uri_ex_bob = X1_27 )
| ~ iext(uri_foaf_mbox_sha1sum,X1_27,literal_plain(dat_str_xyz))
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(resolution,[status(thm)],[c_24,c_83]) ).
tff(c_112,plain,
! [X1_30] :
( ( uri_ex_bob = X1_30 )
| ~ iext(uri_foaf_mbox_sha1sum,X1_30,literal_plain(dat_str_xyz)) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_91]) ).
tff(c_121,plain,
uri_ex_robert = uri_ex_bob,
inference(resolution,[status(thm)],[c_22,c_112]) ).
tff(c_20,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_123,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(demodulation,[status(thm),theory(equality)],[c_121,c_20]) ).
tff(c_127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB008+2 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.13 % 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
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Apr 9 00:54:02 EDT 2025
% 0.13/0.35 % CPUTime :
% 3.04/1.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.83
% 3.04/1.83 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------