TSTP Solution File: SWB026+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWB026+2 : TPTP v8.1.2. 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 : n004.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 : Tue Aug 22 11:00:29 EDT 2023
% Result : Theorem 4.68s 2.20s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 33
% Syntax : Number of formulae : 75 ( 18 unt; 25 typ; 0 def)
% Number of atoms : 139 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 149 ( 60 ~; 69 |; 12 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-3 aty)
% Number of variables : 65 (; 61 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ iext > icext > ip > ic > #nlpp > uri_rdfs_range > uri_rdfs_domain > uri_rdf_type > uri_rdf_rest > uri_rdf_nil > uri_rdf_first > uri_rdf_Property > uri_owl_oneOf > uri_owl_InverseFunctionalProperty > uri_ex_w > uri_ex_u > uri_ex_p > #skF_5 > #skF_1 > #skF_4 > #skF_7 > #skF_6 > #skF_2 > #skF_9 > #skF_8 > #skF_3
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(uri_owl_InverseFunctionalProperty,type,
uri_owl_InverseFunctionalProperty: $i ).
tff(uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(uri_rdf_Property,type,
uri_rdf_Property: $i ).
tff(uri_rdf_type,type,
uri_rdf_type: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(uri_ex_u,type,
uri_ex_u: $i ).
tff(uri_rdfs_range,type,
uri_rdfs_range: $i ).
tff('#skF_4',type,
'#skF_4': $i > $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_7',type,
'#skF_7': $i ).
tff(uri_ex_w,type,
uri_ex_w: $i ).
tff(uri_rdf_rest,type,
uri_rdf_rest: $i ).
tff(ic,type,
ic: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(iext,type,
iext: ( $i * $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff(uri_rdf_nil,type,
uri_rdf_nil: $i ).
tff(uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
tff(f_32,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
tff(f_65,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
tff(f_63,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_39,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
tff(f_81,axiom,
? [BNODE_x1,BNODE_x2,BNODE_l1,BNODE_l2] :
( iext(uri_rdfs_domain,uri_ex_p,BNODE_x1)
& iext(uri_owl_oneOf,BNODE_x1,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_w)
& iext(uri_rdf_rest,BNODE_l1,uri_rdf_nil)
& iext(uri_rdfs_range,uri_ex_p,BNODE_x2)
& iext(uri_owl_oneOf,BNODE_x2,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,uri_ex_u)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
tff(f_38,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,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
tff(f_52,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(c_68,plain,
! [X_30,C_31] :
( iext(uri_rdf_type,X_30,C_31)
| ~ icext(C_31,X_30) ),
inference(cnfTransformation,[status(thm)],[f_32]) ).
tff(c_38,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_81,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(resolution,[status(thm)],[c_68,c_38]) ).
tff(c_87,plain,
! [P_33] :
( ( '#skF_4'(P_33) != '#skF_3'(P_33) )
| icext(uri_owl_InverseFunctionalProperty,P_33)
| ~ ip(P_33) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_94,plain,
( ( '#skF_4'(uri_ex_p) != '#skF_3'(uri_ex_p) )
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[c_87,c_81]) ).
tff(c_96,plain,
~ ip(uri_ex_p),
inference(splitLeft,[status(thm)],[c_94]) ).
tff(c_12,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_54,plain,
iext(uri_rdfs_domain,uri_ex_p,'#skF_6'),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_110,plain,
! [C_36,X_37,P_38,Y_39] :
( icext(C_36,X_37)
| ~ iext(P_38,X_37,Y_39)
| ~ iext(uri_rdfs_domain,P_38,C_36) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_202,plain,
! [C_48] :
( icext(C_48,uri_ex_p)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,C_48) ),
inference(resolution,[status(thm)],[c_54,c_110]) ).
tff(c_206,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(resolution,[status(thm)],[c_12,c_202]) ).
tff(c_2,plain,
! [P_1] :
( ip(P_1)
| ~ iext(uri_rdf_type,P_1,uri_rdf_Property) ),
inference(cnfTransformation,[status(thm)],[f_28]) ).
tff(c_80,plain,
! [X_30] :
( ip(X_30)
| ~ icext(uri_rdf_Property,X_30) ),
inference(resolution,[status(thm)],[c_68,c_2]) ).
tff(c_209,plain,
ip(uri_ex_p),
inference(resolution,[status(thm)],[c_206,c_80]) ).
tff(c_213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96,c_209]) ).
tff(c_215,plain,
ip(uri_ex_p),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_50,plain,
iext(uri_rdf_first,'#skF_8',uri_ex_w),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_48,plain,
iext(uri_rdf_rest,'#skF_8',uri_rdf_nil),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_52,plain,
iext(uri_owl_oneOf,'#skF_6','#skF_8'),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_34,plain,
! [P_14] :
( iext(P_14,'#skF_4'(P_14),'#skF_5'(P_14))
| icext(uri_owl_InverseFunctionalProperty,P_14)
| ~ ip(P_14) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_223,plain,
! [C_50,X_51,P_52,Y_53] :
( icext(C_50,X_51)
| ~ iext(P_52,X_51,Y_53)
| ~ iext(uri_rdfs_domain,P_52,C_50) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_491,plain,
! [C_97,P_98] :
( icext(C_97,'#skF_4'(P_98))
| ~ iext(uri_rdfs_domain,P_98,C_97)
| icext(uri_owl_InverseFunctionalProperty,P_98)
| ~ ip(P_98) ),
inference(resolution,[status(thm)],[c_34,c_223]) ).
tff(c_22,plain,
! [X_13,A1_10,Z_8,S1_9] :
( ( X_13 = A1_10 )
| ~ icext(Z_8,X_13)
| ~ iext(uri_owl_oneOf,Z_8,S1_9)
| ~ iext(uri_rdf_rest,S1_9,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1_9,A1_10) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_703,plain,
! [A1_137,P_138,C_139,S1_140] :
( ( A1_137 = '#skF_4'(P_138) )
| ~ iext(uri_owl_oneOf,C_139,S1_140)
| ~ iext(uri_rdf_rest,S1_140,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1_140,A1_137)
| ~ iext(uri_rdfs_domain,P_138,C_139)
| icext(uri_owl_InverseFunctionalProperty,P_138)
| ~ ip(P_138) ),
inference(resolution,[status(thm)],[c_491,c_22]) ).
tff(c_717,plain,
! [A1_137,P_138] :
( ( A1_137 = '#skF_4'(P_138) )
| ~ iext(uri_rdf_rest,'#skF_8',uri_rdf_nil)
| ~ iext(uri_rdf_first,'#skF_8',A1_137)
| ~ iext(uri_rdfs_domain,P_138,'#skF_6')
| icext(uri_owl_InverseFunctionalProperty,P_138)
| ~ ip(P_138) ),
inference(resolution,[status(thm)],[c_52,c_703]) ).
tff(c_739,plain,
! [A1_144,P_145] :
( ( A1_144 = '#skF_4'(P_145) )
| ~ iext(uri_rdf_first,'#skF_8',A1_144)
| ~ iext(uri_rdfs_domain,P_145,'#skF_6')
| icext(uri_owl_InverseFunctionalProperty,P_145)
| ~ ip(P_145) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_717]) ).
tff(c_743,plain,
! [P_146] :
( ( '#skF_4'(P_146) = uri_ex_w )
| ~ iext(uri_rdfs_domain,P_146,'#skF_6')
| icext(uri_owl_InverseFunctionalProperty,P_146)
| ~ ip(P_146) ),
inference(resolution,[status(thm)],[c_50,c_739]) ).
tff(c_746,plain,
( ( '#skF_4'(uri_ex_p) = uri_ex_w )
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[c_54,c_743]) ).
tff(c_749,plain,
( ( '#skF_4'(uri_ex_p) = uri_ex_w )
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(demodulation,[status(thm),theory(equality)],[c_215,c_746]) ).
tff(c_750,plain,
'#skF_4'(uri_ex_p) = uri_ex_w,
inference(negUnitSimplification,[status(thm)],[c_81,c_749]) ).
tff(c_214,plain,
'#skF_4'(uri_ex_p) != '#skF_3'(uri_ex_p),
inference(splitRight,[status(thm)],[c_94]) ).
tff(c_751,plain,
'#skF_3'(uri_ex_p) != uri_ex_w,
inference(demodulation,[status(thm),theory(equality)],[c_750,c_214]) ).
tff(c_264,plain,
! [P_58] :
( iext(P_58,'#skF_3'(P_58),'#skF_5'(P_58))
| icext(uri_owl_InverseFunctionalProperty,P_58)
| ~ ip(P_58) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_10,plain,
! [C_5,X_6,P_4,Y_7] :
( icext(C_5,X_6)
| ~ iext(P_4,X_6,Y_7)
| ~ iext(uri_rdfs_domain,P_4,C_5) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_507,plain,
! [C_101,P_102] :
( icext(C_101,'#skF_3'(P_102))
| ~ iext(uri_rdfs_domain,P_102,C_101)
| icext(uri_owl_InverseFunctionalProperty,P_102)
| ~ ip(P_102) ),
inference(resolution,[status(thm)],[c_264,c_10]) ).
tff(c_794,plain,
! [A1_148,P_149,C_150,S1_151] :
( ( A1_148 = '#skF_3'(P_149) )
| ~ iext(uri_owl_oneOf,C_150,S1_151)
| ~ iext(uri_rdf_rest,S1_151,uri_rdf_nil)
| ~ iext(uri_rdf_first,S1_151,A1_148)
| ~ iext(uri_rdfs_domain,P_149,C_150)
| icext(uri_owl_InverseFunctionalProperty,P_149)
| ~ ip(P_149) ),
inference(resolution,[status(thm)],[c_507,c_22]) ).
tff(c_808,plain,
! [A1_148,P_149] :
( ( A1_148 = '#skF_3'(P_149) )
| ~ iext(uri_rdf_rest,'#skF_8',uri_rdf_nil)
| ~ iext(uri_rdf_first,'#skF_8',A1_148)
| ~ iext(uri_rdfs_domain,P_149,'#skF_6')
| icext(uri_owl_InverseFunctionalProperty,P_149)
| ~ ip(P_149) ),
inference(resolution,[status(thm)],[c_52,c_794]) ).
tff(c_830,plain,
! [A1_155,P_156] :
( ( A1_155 = '#skF_3'(P_156) )
| ~ iext(uri_rdf_first,'#skF_8',A1_155)
| ~ iext(uri_rdfs_domain,P_156,'#skF_6')
| icext(uri_owl_InverseFunctionalProperty,P_156)
| ~ ip(P_156) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_808]) ).
tff(c_834,plain,
! [P_157] :
( ( '#skF_3'(P_157) = uri_ex_w )
| ~ iext(uri_rdfs_domain,P_157,'#skF_6')
| icext(uri_owl_InverseFunctionalProperty,P_157)
| ~ ip(P_157) ),
inference(resolution,[status(thm)],[c_50,c_830]) ).
tff(c_837,plain,
( ( '#skF_3'(uri_ex_p) = uri_ex_w )
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(resolution,[status(thm)],[c_54,c_834]) ).
tff(c_840,plain,
( ( '#skF_3'(uri_ex_p) = uri_ex_w )
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(demodulation,[status(thm),theory(equality)],[c_215,c_837]) ).
tff(c_842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81,c_751,c_840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB026+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 3 18:16:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 4.68/2.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/2.21
% 4.68/2.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.76/2.24
% 4.76/2.24 Inference rules
% 4.76/2.24 ----------------------
% 4.76/2.24 #Ref : 0
% 4.76/2.24 #Sup : 174
% 4.76/2.24 #Fact : 0
% 4.76/2.24 #Define : 0
% 4.76/2.24 #Split : 27
% 4.76/2.24 #Chain : 0
% 4.76/2.24 #Close : 0
% 4.76/2.24
% 4.76/2.24 Ordering : KBO
% 4.76/2.24
% 4.76/2.24 Simplification rules
% 4.76/2.24 ----------------------
% 4.76/2.24 #Subsume : 33
% 4.76/2.24 #Demod : 30
% 4.76/2.24 #Tautology : 16
% 4.76/2.24 #SimpNegUnit : 17
% 4.76/2.24 #BackRed : 3
% 4.76/2.24
% 4.76/2.24 #Partial instantiations: 0
% 4.76/2.24 #Strategies tried : 1
% 4.76/2.24
% 4.76/2.24 Timing (in seconds)
% 4.76/2.24 ----------------------
% 4.76/2.24 Preprocessing : 0.52
% 4.76/2.24 Parsing : 0.27
% 4.76/2.24 CNF conversion : 0.03
% 4.76/2.24 Main loop : 0.59
% 4.76/2.24 Inferencing : 0.23
% 4.76/2.24 Reduction : 0.15
% 4.76/2.24 Demodulation : 0.10
% 4.76/2.24 BG Simplification : 0.03
% 4.76/2.24 Subsumption : 0.12
% 4.76/2.24 Abstraction : 0.03
% 4.76/2.24 MUC search : 0.00
% 4.76/2.24 Cooper : 0.00
% 4.76/2.24 Total : 1.16
% 4.76/2.24 Index Insertion : 0.00
% 4.76/2.24 Index Deletion : 0.00
% 4.76/2.24 Index Matching : 0.00
% 4.76/2.24 BG Taut test : 0.00
%------------------------------------------------------------------------------