TSTP Solution File: SWB016+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 20:01:14 EDT 2023
% Result : Theorem 0.20s 0.69s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.18 % Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.19 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.40 % Computer : n021.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Aug 27 06:35:27 EDT 2023
% 0.14/0.40 % CPUTime :
% 0.20/0.63 start to proof:theBenchmark
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 % File :CSE---1.6
% 0.20/0.68 % Problem :theBenchmark
% 0.20/0.68 % Transform :cnf
% 0.20/0.68 % Format :tptp:raw
% 0.20/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.68
% 0.20/0.68 % Result :Theorem 0.000000s
% 0.20/0.68 % Output :CNFRefutation 0.000000s
% 0.20/0.68 %-------------------------------------------
% 0.20/0.69 %------------------------------------------------------------------------------
% 0.20/0.69 % File : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 0.20/0.69 % Domain : Semantic Web
% 0.20/0.69 % Problem : Reflective Tautologies II
% 0.20/0.69 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.20/0.69 % English :
% 0.20/0.69
% 0.20/0.69 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.20/0.69 % Source : [Sch11]
% 0.20/0.69 % Names : 016_Reflective_Tautologies_II [Sch11]
% 0.20/0.69
% 0.20/0.69 % Status : Theorem
% 0.20/0.69 % Rating : 0.07 v8.1.0, 0.14 v7.5.0, 0.10 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0
% 0.20/0.69 % Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% 0.20/0.69 % Number of atoms : 29 ( 0 equ)
% 0.20/0.69 % Maximal formula atoms : 5 ( 2 avg)
% 0.20/0.69 % Number of connectives : 18 ( 0 ~; 0 |; 8 &)
% 0.20/0.69 % ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% 0.20/0.69 % Maximal formula depth : 9 ( 4 avg)
% 0.20/0.69 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.69 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.20/0.69 % Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% 0.20/0.69 % Number of variables : 19 ( 19 !; 0 ?)
% 0.20/0.69 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.69
% 0.20/0.69 % Comments :
% 0.20/0.69 %------------------------------------------------------------------------------
% 0.20/0.69 fof(rdf_type_ip,axiom,
% 0.20/0.69 ! [P] :
% 0.20/0.69 ( iext(uri_rdf_type,P,uri_rdf_Property)
% 0.20/0.69 <=> ip(P) ) ).
% 0.20/0.69
% 0.20/0.69 fof(rdfs_cext_def,axiom,
% 0.20/0.69 ! [X,C] :
% 0.20/0.69 ( iext(uri_rdf_type,X,C)
% 0.20/0.69 <=> icext(C,X) ) ).
% 0.20/0.69
% 0.20/0.69 fof(rdfs_domain_main,axiom,
% 0.20/0.69 ! [P,C,X,Y] :
% 0.20/0.69 ( ( iext(uri_rdfs_domain,P,C)
% 0.20/0.69 & iext(P,X,Y) )
% 0.20/0.69 => icext(C,X) ) ).
% 0.20/0.69
% 0.20/0.69 fof(rdfs_domain_domain,axiom,
% 0.20/0.69 iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property) ).
% 0.20/0.69
% 0.20/0.69 fof(rdfs_subclassof_domain,axiom,
% 0.20/0.69 iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class) ).
% 0.20/0.69
% 0.20/0.69 fof(owl_prop_equivalentclass_type,axiom,
% 0.20/0.69 ip(uri_owl_equivalentClass) ).
% 0.20/0.69
% 0.20/0.69 fof(owl_prop_equivalentclass_ext,axiom,
% 0.20/0.69 ! [X,Y] :
% 0.20/0.69 ( iext(uri_owl_equivalentClass,X,Y)
% 0.20/0.69 => ( ic(X)
% 0.20/0.69 & ic(Y) ) ) ).
% 0.20/0.69
% 0.20/0.69 fof(owl_rdfsext_subclassof,axiom,
% 0.20/0.69 ! [C1,C2] :
% 0.20/0.69 ( iext(uri_rdfs_subClassOf,C1,C2)
% 0.20/0.69 <=> ( ic(C1)
% 0.20/0.69 & ic(C2)
% 0.20/0.69 & ! [X] :
% 0.20/0.69 ( icext(C1,X)
% 0.20/0.69 => icext(C2,X) ) ) ) ).
% 0.20/0.69
% 0.20/0.69 fof(owl_rdfsext_subpropertyof,axiom,
% 0.20/0.69 ! [P1,P2] :
% 0.20/0.69 ( iext(uri_rdfs_subPropertyOf,P1,P2)
% 0.20/0.69 <=> ( ip(P1)
% 0.20/0.69 & ip(P2)
% 0.20/0.69 & ! [X,Y] :
% 0.20/0.69 ( iext(P1,X,Y)
% 0.20/0.69 => iext(P2,X,Y) ) ) ) ).
% 0.20/0.69
% 0.20/0.69 fof(owl_eqdis_equivalentclass,axiom,
% 0.20/0.69 ! [C1,C2] :
% 0.20/0.69 ( iext(uri_owl_equivalentClass,C1,C2)
% 0.20/0.69 <=> ( ic(C1)
% 0.20/0.69 & ic(C2)
% 0.20/0.69 & ! [X] :
% 0.20/0.69 ( icext(C1,X)
% 0.20/0.69 <=> icext(C2,X) ) ) ) ).
% 0.20/0.69
% 0.20/0.69 fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
% 0.20/0.69 iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ).
% 0.20/0.69
% 0.20/0.69 %------------------------------------------------------------------------------
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 % Proof found
% 0.20/0.69 % SZS status Theorem for theBenchmark
% 0.20/0.69 % SZS output start Proof
% 0.20/0.69 %ClaNum:27(EqnAxiom:0)
% 0.20/0.69 %VarNum:115(SingletonVarNum:47)
% 0.20/0.69 %MaxLitNum:5
% 0.20/0.69 %MaxfuncDepth:1
% 0.20/0.69 %SharedTerms:11
% 0.20/0.69 %goalClause: 4
% 0.20/0.69 %singleGoalClaCount:1
% 0.20/0.69 [1]P1(a1)
% 0.20/0.69 [2]P2(a6,a6,a7)
% 0.20/0.69 [3]P2(a6,a10,a8)
% 0.20/0.69 [4]~P2(a11,a1,a10)
% 0.20/0.69 [5]~P1(x51)+P2(a9,x51,a7)
% 0.20/0.69 [7]P1(x71)+~P2(a9,x71,a7)
% 0.20/0.69 [6]~P3(x62,x61)+P2(a9,x61,x62)
% 0.20/0.69 [8]P1(x81)+~P2(a11,x82,x81)
% 0.20/0.69 [9]P1(x91)+~P2(a11,x91,x92)
% 0.20/0.69 [10]P4(x101)+~P2(a10,x102,x101)
% 0.20/0.69 [11]P4(x111)+~P2(a10,x111,x112)
% 0.20/0.69 [13]P4(x131)+~P2(a1,x132,x131)
% 0.20/0.69 [15]P4(x151)+~P2(a1,x151,x152)
% 0.20/0.69 [16]P3(x161,x162)+~P2(a9,x162,x161)
% 0.20/0.69 [18]P3(x181,x182)+~P3(x183,x182)+~P2(a10,x183,x181)
% 0.20/0.69 [19]P3(x191,x192)+~P3(x193,x192)+~P2(a1,x191,x193)
% 0.20/0.69 [20]P3(x201,x202)+~P3(x203,x202)+~P2(a1,x203,x201)
% 0.20/0.69 [24]P3(x241,x242)+~P2(x243,x242,x244)+~P2(a6,x243,x241)
% 0.20/0.69 [26]P2(x261,x262,x263)+~P2(x264,x262,x263)+~P2(a11,x264,x261)
% 0.20/0.69 [17]~P4(x172)+~P4(x171)+P2(a10,x171,x172)+P3(x171,f2(x171,x172))
% 0.20/0.69 [21]~P4(x211)+~P4(x212)+P2(a10,x211,x212)+~P3(x212,f2(x211,x212))
% 0.20/0.69 [23]~P1(x232)+~P1(x231)+P2(x231,f4(x231,x232),f5(x231,x232))+P2(a11,x231,x232)
% 0.20/0.69 [27]~P1(x271)+~P1(x272)+~P2(x272,f4(x271,x272),f5(x271,x272))+P2(a11,x271,x272)
% 0.20/0.69 [22]~P4(x222)+~P4(x221)+P2(a1,x221,x222)+P3(x222,f3(x221,x222))+P3(x221,f3(x221,x222))
% 0.20/0.69 [25]~P4(x252)+~P4(x251)+P2(a1,x251,x252)+~P3(x252,f3(x251,x252))+~P3(x251,f3(x251,x252))
% 0.20/0.69 %EqnAxiom
% 0.20/0.69
% 0.20/0.69 %-------------------------------------------
% 0.20/0.70 cnf(36,plain,
% 0.20/0.70 (P1(a6)),
% 0.20/0.70 inference(scs_inference,[],[4,1,2,24,6,5,26,16,7])).
% 0.20/0.70 cnf(52,plain,
% 0.20/0.70 (P3(a7,a10)),
% 0.20/0.70 inference(scs_inference,[],[4,3,2,1,23,24])).
% 0.20/0.70 cnf(56,plain,
% 0.20/0.70 (P3(f5(a1,a10),x561)+~P1(a10)+~P3(f4(a1,a10),x561)),
% 0.20/0.70 inference(scs_inference,[],[4,3,2,1,23,24,26,20])).
% 0.20/0.70 cnf(65,plain,
% 0.20/0.70 (~P1(a10)+~P2(a10,f4(a1,a10),f5(a1,a10))),
% 0.20/0.70 inference(scs_inference,[],[1,36,4,23,27])).
% 0.20/0.70 cnf(71,plain,
% 0.20/0.70 (P2(a9,a10,a7)),
% 0.20/0.70 inference(scs_inference,[],[52,6])).
% 0.20/0.70 cnf(73,plain,
% 0.20/0.70 (P1(a10)),
% 0.20/0.70 inference(scs_inference,[],[71,7])).
% 0.20/0.70 cnf(82,plain,
% 0.20/0.70 (~P3(f5(a1,a10),f2(f4(a1,a10),f5(a1,a10)))),
% 0.20/0.70 inference(scs_inference,[],[71,4,1,7,23,15,13,65,21])).
% 0.20/0.70 cnf(84,plain,
% 0.20/0.70 (P3(f4(a1,a10),f2(f4(a1,a10),f5(a1,a10)))),
% 0.20/0.70 inference(scs_inference,[],[71,4,1,7,23,15,13,65,21,17])).
% 0.20/0.70 cnf(94,plain,
% 0.20/0.70 (~P3(f4(a1,a10),x941)+P3(f5(a1,a10),x941)),
% 0.20/0.70 inference(scs_inference,[],[73,56])).
% 0.20/0.70 cnf(97,plain,
% 0.20/0.70 ($false),
% 0.20/0.70 inference(scs_inference,[],[84,82,94]),
% 0.20/0.70 ['proof']).
% 0.20/0.70 % SZS output end Proof
% 0.20/0.70 % Total time :0.000000s
%------------------------------------------------------------------------------