%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWB010+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 : n023.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 : Theorem 4.06s 2.01s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 164 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 176 ( 72 ~; 70 |; 22 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 21 con; 0-4 aty)
% Number of variables : 90 ( 84 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > ir > ip > ic > #nlpp > uri_rdf_type > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_owl_targetIndividual > uri_owl_sourceIndividual > uri_owl_oneOf > uri_owl_onProperty > uri_owl_complementOf > uri_owl_assertionProperty > uri_owl_allValuesFrom > uri_owl_Restriction > uri_owl_ObjectProperty > uri_owl_NegativePropertyAssertion > uri_ex_s > uri_ex_p > uri_ex_o > #skF_1 > #skF_4 > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_8 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_owl_complementOf,type,
uri_owl_complementOf: $i ).
tff(uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
tff(uri_owl_NegativePropertyAssertion,type,
uri_owl_NegativePropertyAssertion: $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff(uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(uri_owl_assertionProperty,type,
uri_owl_assertionProperty: $i ).
tff(uri_ex_s,type,
uri_ex_s: $i ).
tff(uri_rdf_first,type,
uri_rdf_first: $i ).
tff(icext,type,
icext: ( $i * $i ) > $o ).
tff(ip,type,
ip: $i > $o ).
tff(uri_ex_p,type,
uri_ex_p: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(ir,type,
ir: $i > $o ).
tff(uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff(ic,type,
ic: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(uri_owl_allValuesFrom,type,
uri_owl_allValuesFrom: $i ).
tff(uri_owl_ObjectProperty,type,
uri_owl_ObjectProperty: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(uri_owl_sourceIndividual,type,
uri_owl_sourceIndividual: $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(uri_owl_targetIndividual,type,
uri_owl_targetIndividual: $i ).
tff(uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff(uri_ex_o,type,
uri_ex_o: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i * $i ) > $i ).
tff(f_120,axiom,
? [BNODE_x1,BNODE_x2,BNODE_x3,BNODE_x4] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_s,BNODE_x1)
& iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
& iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
& iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
& iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
& iext(uri_rdf_first,BNODE_x4,uri_ex_o)
& iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).
tff(f_67,axiom,
! [Z,S1,A1] :
( ( iext(uri_rdf_first,S1,A1)
& iext(uri_rdf_rest,S1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,Z,S1)
<=> ( ic(Z)
& ! [X] :
( icext(Z,X)
<=> ( X = A1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
tff(f_54,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ic(Z)
& ic(C)
& ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
tff(f_30,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
tff(f_42,axiom,
! [X,Y] :
( iext(uri_owl_onProperty,X,Y)
=> ( icext(uri_owl_Restriction,X)
& ip(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
tff(f_26,axiom,
! [X] : ir(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
tff(f_95,axiom,
! [P,A1,A2] :
( ( ir(A1)
& ip(P)
& ir(A2)
& ~ iext(P,A1,A2) )
=> ? [Z] :
( iext(uri_owl_sourceIndividual,Z,A1)
& iext(uri_owl_assertionProperty,Z,P)
& iext(uri_owl_targetIndividual,Z,A2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_fi) ).
tff(f_36,axiom,
! [X,Y] :
( iext(uri_owl_sourceIndividual,X,Y)
=> ( icext(uri_owl_NegativePropertyAssertion,X)
& ir(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
tff(f_104,negated_conjecture,
~ ? [BNODE_z] :
( iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion)
& iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
& iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).
tff(f_79,axiom,
! [Z,P,C] :
( ( iext(uri_owl_allValuesFrom,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_allvaluesfrom) ).
tff(c_58,plain,
iext(uri_owl_complementOf,'#skF_6','#skF_7'),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_54,plain,
iext(uri_rdf_first,'#skF_8',uri_ex_o),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_52,plain,
iext(uri_rdf_rest,'#skF_8',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_56,plain,
iext(uri_owl_oneOf,'#skF_7','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_186,plain,
! [Z_81,X_82,S1_83] :
( icext(Z_81,X_82)
| ~ iext(uri_owl_oneOf,Z_81,S1_83)
| ~ iext(uri_rdf_rest,S1_83,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1_83,X_82) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_188,plain,
! [X_82] :
( icext('#skF_7',X_82)
| ~ iext(uri_rdf_rest,'#skF_8',uri_rdf_nil)
| ~ iext(uri_rdf_first,'#skF_8',X_82) ),
inference(resolution,[status(thm)],[c_56,c_186]) ).
tff(c_192,plain,
! [X_84] :
( icext('#skF_7',X_84)
| ~ iext(uri_rdf_first,'#skF_8',X_84) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_188]) ).
tff(c_196,plain,
icext('#skF_7',uri_ex_o),
inference(resolution,[status(thm)],[c_54,c_192]) ).
tff(c_16,plain,
! [C_9,X_11,Z_8] :
( ~ icext(C_9,X_11)
| ~ icext(Z_8,X_11)
| ~ iext(uri_owl_complementOf,Z_8,C_9) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_203,plain,
! [Z_85] :
( ~ icext(Z_85,uri_ex_o)
| ~ iext(uri_owl_complementOf,Z_85,'#skF_7') ),
inference(resolution,[status(thm)],[c_196,c_16]) ).
tff(c_207,plain,
~ icext('#skF_6',uri_ex_o),
inference(resolution,[status(thm)],[c_58,c_203]) ).
tff(c_60,plain,
iext(uri_owl_allValuesFrom,'#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_64,plain,
iext(uri_rdf_type,uri_ex_s,'#skF_5'),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_97,plain,
! [C_45,X_46] :
( icext(C_45,X_46)
| ~ iext(uri_rdf_type,X_46,C_45) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_109,plain,
icext('#skF_5',uri_ex_s),
inference(resolution,[status(thm)],[c_64,c_97]) ).
tff(c_62,plain,
iext(uri_owl_onProperty,'#skF_5',uri_ex_p),
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_76,plain,
! [Y_37,X_38] :
( ip(Y_37)
| ~ iext(uri_owl_onProperty,X_38,Y_37) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_80,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[c_62,c_76]) ).
tff(c_2,plain,
! [X_1] : ir(X_1),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_48,plain,
! [P_30,A1_31,A2_32] :
( iext(uri_owl_sourceIndividual,'#skF_4'(P_30,A1_31,A2_32),A1_31)
| iext(P_30,A1_31,A2_32)
| ~ ir(A2_32)
| ~ ip(P_30)
| ~ ir(A1_31) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_169,plain,
! [P_75,A1_76,A2_77] :
( iext(uri_owl_sourceIndividual,'#skF_4'(P_75,A1_76,A2_77),A1_76)
| iext(P_75,A1_76,A2_77)
| ~ ip(P_75) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_48]) ).
tff(c_10,plain,
! [X_4,Y_5] :
( icext(uri_owl_NegativePropertyAssertion,X_4)
| ~ iext(uri_owl_sourceIndividual,X_4,Y_5) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_178,plain,
! [P_75,A1_76,A2_77] :
( icext(uri_owl_NegativePropertyAssertion,'#skF_4'(P_75,A1_76,A2_77))
| iext(P_75,A1_76,A2_77)
| ~ ip(P_75) ),
inference(resolution,[status(thm)],[c_169,c_10]) ).
tff(c_46,plain,
! [P_30,A1_31,A2_32] :
( iext(uri_owl_assertionProperty,'#skF_4'(P_30,A1_31,A2_32),P_30)
| iext(P_30,A1_31,A2_32)
| ~ ir(A2_32)
| ~ ip(P_30)
| ~ ir(A1_31) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_71,plain,
! [P_30,A1_31,A2_32] :
( iext(uri_owl_assertionProperty,'#skF_4'(P_30,A1_31,A2_32),P_30)
| iext(P_30,A1_31,A2_32)
| ~ ip(P_30) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_46]) ).
tff(c_44,plain,
! [P_30,A1_31,A2_32] :
( iext(uri_owl_targetIndividual,'#skF_4'(P_30,A1_31,A2_32),A2_32)
| iext(P_30,A1_31,A2_32)
| ~ ir(A2_32)
| ~ ip(P_30)
| ~ ir(A1_31) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_159,plain,
! [P_67,A1_68,A2_69] :
( iext(uri_owl_targetIndividual,'#skF_4'(P_67,A1_68,A2_69),A2_69)
| iext(P_67,A1_68,A2_69)
| ~ ip(P_67) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_44]) ).
tff(c_91,plain,
! [X_43,C_44] :
( iext(uri_rdf_type,X_43,C_44)
| ~ icext(C_44,X_43) ),
inference(cnfTransformation,[status(thm)],[f_30]) ).
tff(c_50,plain,
! [BNODE_z_34] :
( ~ iext(uri_owl_targetIndividual,BNODE_z_34,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,BNODE_z_34,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,BNODE_z_34,uri_ex_s)
| ~ iext(uri_rdf_type,BNODE_z_34,uri_owl_NegativePropertyAssertion) ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_96,plain,
! [X_43] :
( ~ iext(uri_owl_targetIndividual,X_43,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X_43,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X_43,uri_ex_s)
| ~ icext(uri_owl_NegativePropertyAssertion,X_43) ),
inference(resolution,[status(thm)],[c_91,c_50]) ).
tff(c_164,plain,
! [P_67,A1_68] :
( ~ iext(uri_owl_assertionProperty,'#skF_4'(P_67,A1_68,uri_ex_o),uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,'#skF_4'(P_67,A1_68,uri_ex_o),uri_ex_s)
| ~ icext(uri_owl_NegativePropertyAssertion,'#skF_4'(P_67,A1_68,uri_ex_o))
| iext(P_67,A1_68,uri_ex_o)
| ~ ip(P_67) ),
inference(resolution,[status(thm)],[c_159,c_96]) ).
tff(c_208,plain,
! [P_86] :
( ~ iext(uri_owl_assertionProperty,'#skF_4'(P_86,uri_ex_s,uri_ex_o),uri_ex_p)
| ~ icext(uri_owl_NegativePropertyAssertion,'#skF_4'(P_86,uri_ex_s,uri_ex_o))
| iext(P_86,uri_ex_s,uri_ex_o)
| ~ ip(P_86) ),
inference(resolution,[status(thm)],[c_169,c_164]) ).
tff(c_212,plain,
( ~ icext(uri_owl_NegativePropertyAssertion,'#skF_4'(uri_ex_p,uri_ex_s,uri_ex_o))
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[c_71,c_208]) ).
tff(c_215,plain,
( ~ icext(uri_owl_NegativePropertyAssertion,'#skF_4'(uri_ex_p,uri_ex_s,uri_ex_o))
| iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_212]) ).
tff(c_216,plain,
~ icext(uri_owl_NegativePropertyAssertion,'#skF_4'(uri_ex_p,uri_ex_s,uri_ex_o)),
inference(splitLeft,[status(thm)],[c_215]) ).
tff(c_219,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[c_178,c_216]) ).
tff(c_222,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(demodulation,[status(thm),theory(equality)],[c_80,c_219]) ).
tff(c_257,plain,
! [C_99,X_97,Z_98,Y_100,P_101] :
( icext(C_99,Y_100)
| ~ iext(P_101,X_97,Y_100)
| ~ icext(Z_98,X_97)
| ~ iext(uri_owl_onProperty,Z_98,P_101)
| ~ iext(uri_owl_allValuesFrom,Z_98,C_99) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_310,plain,
! [C_118,Z_119] :
( icext(C_118,uri_ex_o)
| ~ icext(Z_119,uri_ex_s)
| ~ iext(uri_owl_onProperty,Z_119,uri_ex_p)
| ~ iext(uri_owl_allValuesFrom,Z_119,C_118) ),
inference(resolution,[status(thm)],[c_222,c_257]) ).
tff(c_312,plain,
! [C_118] :
( icext(C_118,uri_ex_o)
| ~ icext('#skF_5',uri_ex_s)
| ~ iext(uri_owl_allValuesFrom,'#skF_5',C_118) ),
inference(resolution,[status(thm)],[c_62,c_310]) ).
tff(c_316,plain,
! [C_120] :
( icext(C_120,uri_ex_o)
| ~ iext(uri_owl_allValuesFrom,'#skF_5',C_120) ),
inference(demodulation,[status(thm),theory(equality)],[c_109,c_312]) ).
tff(c_319,plain,
icext('#skF_6',uri_ex_o),
inference(resolution,[status(thm)],[c_60,c_316]) ).
tff(c_323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207,c_319]) ).
tff(c_324,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(splitRight,[status(thm)],[c_215]) ).
tff(c_383,plain,
! [C_132,P_134,X_130,Y_133,Z_131] :
( icext(C_132,Y_133)
| ~ iext(P_134,X_130,Y_133)
| ~ icext(Z_131,X_130)
| ~ iext(uri_owl_onProperty,Z_131,P_134)
| ~ iext(uri_owl_allValuesFrom,Z_131,C_132) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_425,plain,
! [C_139,Z_140] :
( icext(C_139,uri_ex_o)
| ~ icext(Z_140,uri_ex_s)
| ~ iext(uri_owl_onProperty,Z_140,uri_ex_p)
| ~ iext(uri_owl_allValuesFrom,Z_140,C_139) ),
inference(resolution,[status(thm)],[c_324,c_383]) ).
tff(c_427,plain,
! [C_139] :
( icext(C_139,uri_ex_o)
| ~ icext('#skF_5',uri_ex_s)
| ~ iext(uri_owl_allValuesFrom,'#skF_5',C_139) ),
inference(resolution,[status(thm)],[c_62,c_425]) ).
tff(c_431,plain,
! [C_141] :
( icext(C_141,uri_ex_o)
| ~ iext(uri_owl_allValuesFrom,'#skF_5',C_141) ),
inference(demodulation,[status(thm),theory(equality)],[c_109,c_427]) ).
tff(c_434,plain,
icext('#skF_6',uri_ex_o),
inference(resolution,[status(thm)],[c_60,c_431]) ).
tff(c_438,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_207,c_434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SWB010+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.09 % 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
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Apr 9 00:55:09 EDT 2025
% 0.09/0.30 % CPUTime :
% 4.06/2.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.06/2.01
% 4.06/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------