%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWB009+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 : n028.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 3.00s 1.76s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 16 |; 8 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 26 ( 23 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > #nlpp > uri_rdf_type > uri_owl_someValuesFrom > uri_owl_onProperty > uri_owl_Restriction > uri_owl_ObjectProperty > uri_owl_Class > uri_ex_s > uri_ex_p > uri_ex_c > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
tff(uri_ex_s,type,
uri_ex_s: $i ).
tff(uri_ex_c,type,
uri_ex_c: $i ).
tff(icext,type,
icext: ( $i * $i ) > $o ).
tff(uri_ex_p,type,
uri_ex_p: $i ).
tff(uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
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(uri_owl_someValuesFrom,type,
uri_owl_someValuesFrom: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(f_57,axiom,
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).
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,
! [Z,P,C] :
( ( iext(uri_owl_someValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( iext(P,X,Y)
& icext(C,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
tff(f_45,negated_conjecture,
~ ? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).
tff(c_16,plain,
iext(uri_owl_onProperty,'#skF_2',uri_ex_p),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_20,plain,
iext(uri_rdf_type,uri_ex_s,'#skF_2'),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_26,plain,
! [C_18,X_19] :
( icext(C_18,X_19)
| ~ iext(uri_rdf_type,X_19,C_18) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_43,plain,
icext('#skF_2',uri_ex_s),
inference(resolution,[status(thm)],[c_20,c_26]) ).
tff(c_14,plain,
iext(uri_owl_someValuesFrom,'#skF_2',uri_ex_c),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8,plain,
! [C_5,Z_3,P_4,X_11] :
( icext(C_5,'#skF_1'(Z_3,P_4,C_5,X_11))
| ~ icext(Z_3,X_11)
| ~ iext(uri_owl_onProperty,Z_3,P_4)
| ~ iext(uri_owl_someValuesFrom,Z_3,C_5) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_81,plain,
! [P_37,X_38,Z_39,C_40] :
( iext(P_37,X_38,'#skF_1'(Z_39,P_37,C_40,X_38))
| ~ icext(Z_39,X_38)
| ~ iext(uri_owl_onProperty,Z_39,P_37)
| ~ iext(uri_owl_someValuesFrom,Z_39,C_40) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_4,plain,
! [X_1,C_2] :
( iext(uri_rdf_type,X_1,C_2)
| ~ icext(C_2,X_1) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_47,plain,
! [BNODE_x_20] :
( ~ iext(uri_rdf_type,BNODE_x_20,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_s,BNODE_x_20) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_52,plain,
! [X_1] :
( ~ iext(uri_ex_p,uri_ex_s,X_1)
| ~ icext(uri_ex_c,X_1) ),
inference(resolution,[status(thm)],[c_4,c_47]) ).
tff(c_122,plain,
! [Z_61,C_62] :
( ~ icext(uri_ex_c,'#skF_1'(Z_61,uri_ex_p,C_62,uri_ex_s))
| ~ icext(Z_61,uri_ex_s)
| ~ iext(uri_owl_onProperty,Z_61,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,Z_61,C_62) ),
inference(resolution,[status(thm)],[c_81,c_52]) ).
tff(c_128,plain,
! [Z_63] :
( ~ icext(Z_63,uri_ex_s)
| ~ iext(uri_owl_onProperty,Z_63,uri_ex_p)
| ~ iext(uri_owl_someValuesFrom,Z_63,uri_ex_c) ),
inference(resolution,[status(thm)],[c_8,c_122]) ).
tff(c_131,plain,
( ~ icext('#skF_2',uri_ex_s)
| ~ iext(uri_owl_onProperty,'#skF_2',uri_ex_p) ),
inference(resolution,[status(thm)],[c_14,c_128]) ).
tff(c_135,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_43,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB009+2 : TPTP v9.0.0. Released v5.2.0.
% 0.13/0.13 % 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
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Apr 9 00:54:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 3.00/1.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/1.77
% 3.00/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------