TSTP Solution File: SWB024+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n020.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 : Thu Aug 31 20:01:21 EDT 2023
% Result : Theorem 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 06:18:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % File :CSE---1.6
% 0.21/0.67 % Problem :theBenchmark
% 0.21/0.67 % Transform :cnf
% 0.21/0.67 % Format :tptp:raw
% 0.21/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.67
% 0.21/0.67 % Result :Theorem 0.030000s
% 0.21/0.67 % Output :CNFRefutation 0.030000s
% 0.21/0.67 %-------------------------------------------
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 % File : SWB024+2 : TPTP v8.1.2. Released v5.2.0.
% 0.21/0.68 % Domain : Semantic Web
% 0.21/0.68 % Problem : Cardinality Restrictions on Complex Properties
% 0.21/0.68 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.21/0.68 % English :
% 0.21/0.68
% 0.21/0.68 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.21/0.68 % Source : [Sch11]
% 0.21/0.68 % Names : 024_Cardinality_Restrictions_on_Complex_Properties [Sch11]
% 0.21/0.68
% 0.21/0.68 % Status : Theorem
% 0.21/0.68 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0
% 0.21/0.68 % Syntax : Number of formulae : 6 ( 0 unt; 0 def)
% 0.21/0.68 % Number of atoms : 26 ( 0 equ)
% 0.21/0.68 % Maximal formula atoms : 8 ( 4 avg)
% 0.21/0.68 % Number of connectives : 20 ( 0 ~; 0 |; 13 &)
% 0.21/0.68 % ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% 0.21/0.68 % Maximal formula depth : 9 ( 7 avg)
% 0.21/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.21/0.68 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.21/0.68 % Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% 0.21/0.68 % Number of variables : 15 ( 12 !; 3 ?)
% 0.21/0.68 % SPC : FOF_THM_RFO_NEQ
% 0.21/0.68
% 0.21/0.68 % Comments :
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 fof(rdfs_cext_def,axiom,
% 0.21/0.68 ! [X,C] :
% 0.21/0.68 ( iext(uri_rdf_type,X,C)
% 0.21/0.68 <=> icext(C,X) ) ).
% 0.21/0.68
% 0.21/0.68 fof(owl_restrict_mincard_001,axiom,
% 0.21/0.68 ! [Z,P] :
% 0.21/0.68 ( ( iext(uri_owl_minCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
% 0.21/0.68 & iext(uri_owl_onProperty,Z,P) )
% 0.21/0.68 => ! [X] :
% 0.21/0.68 ( icext(Z,X)
% 0.21/0.68 <=> ? [Y] : iext(P,X,Y) ) ) ).
% 0.21/0.68
% 0.21/0.68 fof(owl_rdfsext_subclassof,axiom,
% 0.21/0.68 ! [C1,C2] :
% 0.21/0.68 ( iext(uri_rdfs_subClassOf,C1,C2)
% 0.21/0.68 <=> ( ic(C1)
% 0.21/0.68 & ic(C2)
% 0.21/0.68 & ! [X] :
% 0.21/0.68 ( icext(C1,X)
% 0.21/0.68 => icext(C2,X) ) ) ) ).
% 0.21/0.68
% 0.21/0.68 fof(owl_char_transitive,axiom,
% 0.21/0.68 ! [P] :
% 0.21/0.68 ( icext(uri_owl_TransitiveProperty,P)
% 0.21/0.68 <=> ( ip(P)
% 0.21/0.68 & ! [X,Y,Z] :
% 0.21/0.68 ( ( iext(P,X,Y)
% 0.21/0.68 & iext(P,Y,Z) )
% 0.21/0.68 => iext(P,X,Z) ) ) ) ).
% 0.21/0.68
% 0.21/0.68 fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,
% 0.21/0.68 ? [BNODE_x] :
% 0.21/0.68 ( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
% 0.21/0.68 & iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ) ).
% 0.21/0.68
% 0.21/0.68 fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,
% 0.21/0.68 ? [BNODE_z] :
% 0.21/0.68 ( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
% 0.21/0.68 & iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
% 0.21/0.68 & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
% 0.21/0.68 & iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
% 0.21/0.68 & iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
% 0.21/0.68 & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
% 0.21/0.68 & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
% 0.21/0.68 & iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ) ).
% 0.21/0.68
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.68 %ClaNum:23(EqnAxiom:0)
% 0.21/0.68 %VarNum:81(SingletonVarNum:31)
% 0.21/0.68 %MaxLitNum:4
% 0.21/0.68 %MaxfuncDepth:1
% 0.21/0.68 %SharedTerms:22
% 0.21/0.68 %goalClause: 20
% 0.21/0.68 [1]P1(a1,a2,a14)
% 0.21/0.68 [2]P1(a1,a3,a4)
% 0.21/0.68 [3]P1(a1,a13,a4)
% 0.21/0.68 [4]P1(a1,a5,a15)
% 0.21/0.68 [5]P1(a16,a5,a2)
% 0.21/0.68 [6]P1(a18,a4,a5)
% 0.21/0.68 [7]P1(a2,a13,a3)
% 0.21/0.68 [8]P1(a17,a5,f12(a6,a19))
% 0.21/0.68 [9]P4(x91)+~P2(a14,x91)
% 0.21/0.68 [20]~P1(a2,a13,x201)+~P1(a2,a3,x201)
% 0.21/0.68 [10]~P2(x102,x101)+P1(a1,x101,x102)
% 0.21/0.68 [13]P3(x131)+~P1(a18,x132,x131)
% 0.21/0.68 [14]P3(x141)+~P1(a18,x141,x142)
% 0.21/0.68 [15]P2(x151,x152)+~P1(a1,x152,x151)
% 0.21/0.68 [11]~P4(x111)+P1(x111,f7(x111),f10(x111))+P2(a14,x111)
% 0.21/0.68 [12]~P4(x121)+P1(x121,f10(x121),f11(x121))+P2(a14,x121)
% 0.21/0.68 [18]~P4(x181)+~P1(x181,f7(x181),f11(x181))+P2(a14,x181)
% 0.21/0.68 [17]P2(x171,x172)+~P2(x173,x172)+~P1(a18,x173,x171)
% 0.21/0.68 [16]~P3(x162)+~P3(x161)+P1(a18,x161,x162)+P2(x161,f8(x161,x162))
% 0.21/0.68 [19]~P3(x191)+~P3(x192)+P1(a18,x191,x192)+~P2(x192,f8(x191,x192))
% 0.21/0.68 [23]~P2(x233,x232)+~P1(a16,x233,x231)+P1(x231,x232,f9(x233,x231,x232))+~P1(a17,x233,f12(a6,a19))
% 0.21/0.68 [21]~P1(x211,x212,x214)+P1(x211,x212,x213)+~P1(x211,x214,x213)+~P2(a14,x211)
% 0.21/0.68 [22]P2(x221,x222)+~P1(x223,x222,x224)+~P1(a16,x221,x223)+~P1(a17,x221,f12(a6,a19))
% 0.21/0.68 %EqnAxiom
% 0.21/0.68
% 0.21/0.68 %-------------------------------------------
% 0.21/0.69 cnf(24,plain,
% 0.21/0.69 (P2(a14,a2)),
% 0.21/0.69 inference(scs_inference,[],[1,15])).
% 0.21/0.69 cnf(32,plain,
% 0.21/0.69 (P1(a2,a13,f9(a5,a2,a13))),
% 0.21/0.69 inference(scs_inference,[],[1,5,6,7,8,15,14,13,9,22,23])).
% 0.21/0.69 cnf(34,plain,
% 0.21/0.69 (~P1(a2,a3,a3)),
% 0.21/0.69 inference(scs_inference,[],[1,5,6,7,8,15,14,13,9,22,23,20])).
% 0.21/0.69 cnf(54,plain,
% 0.21/0.69 (P2(a5,x541)+~P2(a4,x541)),
% 0.21/0.69 inference(scs_inference,[],[1,6,7,8,24,34,21,22,23,17])).
% 0.21/0.69 cnf(58,plain,
% 0.21/0.69 (~P2(a5,a3)+P1(a2,a13,f9(a5,a2,a3))),
% 0.21/0.69 inference(scs_inference,[],[24,5,7,8,21,23])).
% 0.21/0.69 cnf(68,plain,
% 0.21/0.69 (~P1(a2,a3,f9(a5,a2,a13))),
% 0.21/0.69 inference(scs_inference,[],[32,20])).
% 0.21/0.69 cnf(80,plain,
% 0.21/0.69 (P2(a5,a3)),
% 0.21/0.69 inference(scs_inference,[],[2,54,15])).
% 0.21/0.69 cnf(81,plain,
% 0.21/0.69 (P1(a2,a13,f9(a5,a2,a3))),
% 0.21/0.69 inference(scs_inference,[],[80,58])).
% 0.21/0.69 cnf(90,plain,
% 0.21/0.69 (~P1(a2,a13,f9(a5,a2,a3))),
% 0.21/0.69 inference(scs_inference,[],[5,8,24,68,80,4,15,10,23,21,20])).
% 0.21/0.69 cnf(92,plain,
% 0.21/0.69 ($false),
% 0.21/0.69 inference(scs_inference,[],[81,90]),
% 0.21/0.69 ['proof']).
% 0.21/0.69 % SZS output end Proof
% 0.21/0.69 % Total time :0.030000s
%------------------------------------------------------------------------------