TSTP Solution File: SWB023+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB023+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 : n009.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 20:01:20 EDT 2023
% Result : Theorem 0.47s 0.63s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 06:30:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.47/0.55 start to proof:theBenchmark
% 0.47/0.62 %-------------------------------------------
% 0.47/0.62 % File :CSE---1.6
% 0.47/0.62 % Problem :theBenchmark
% 0.47/0.62 % Transform :cnf
% 0.47/0.62 % Format :tptp:raw
% 0.47/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.47/0.62
% 0.47/0.62 % Result :Theorem 0.020000s
% 0.47/0.62 % Output :CNFRefutation 0.020000s
% 0.47/0.62 %-------------------------------------------
% 0.47/0.62 %------------------------------------------------------------------------------
% 0.47/0.62 % File : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.47/0.62 % Domain : Semantic Web
% 0.47/0.62 % Problem : Unique List Components
% 0.47/0.62 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.47/0.62 % English :
% 0.47/0.62
% 0.47/0.62 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.47/0.62 % Source : [Sch11]
% 0.47/0.62 % Names : 023_Unique_List_Components [Sch11]
% 0.47/0.62
% 0.47/0.62 % Status : Theorem
% 0.47/0.62 % Rating : 0.08 v8.1.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0
% 0.47/0.62 % Syntax : Number of formulae : 6 ( 0 unt; 0 def)
% 0.47/0.62 % Number of atoms : 24 ( 3 equ)
% 0.47/0.62 % Maximal formula atoms : 7 ( 4 avg)
% 0.47/0.62 % Number of connectives : 18 ( 0 ~; 0 |; 11 &)
% 0.47/0.62 % ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% 0.47/0.62 % Maximal formula depth : 9 ( 6 avg)
% 0.47/0.62 % Maximal term depth : 1 ( 1 avg)
% 0.47/0.62 % Number of predicates : 5 ( 4 usr; 0 prp; 1-3 aty)
% 0.47/0.62 % Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% 0.47/0.62 % Number of variables : 14 ( 12 !; 2 ?)
% 0.47/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.47/0.62
% 0.47/0.62 % Comments :
% 0.47/0.62 %------------------------------------------------------------------------------
% 0.47/0.62 fof(rdfs_cext_def,axiom,
% 0.47/0.62 ! [X,C] :
% 0.47/0.62 ( iext(uri_rdf_type,X,C)
% 0.47/0.62 <=> icext(C,X) ) ).
% 0.47/0.63
% 0.47/0.63 fof(owl_enum_class_001,axiom,
% 0.47/0.63 ! [Z,S1,A1] :
% 0.47/0.63 ( ( iext(uri_rdf_first,S1,A1)
% 0.47/0.63 & iext(uri_rdf_rest,S1,uri_rdf_nil) )
% 0.47/0.63 => ( iext(uri_owl_oneOf,Z,S1)
% 0.47/0.63 <=> ( ic(Z)
% 0.47/0.63 & ! [X] :
% 0.47/0.63 ( icext(Z,X)
% 0.47/0.63 <=> X = A1 ) ) ) ) ).
% 0.47/0.63
% 0.47/0.63 fof(owl_char_functional,axiom,
% 0.47/0.63 ! [P] :
% 0.47/0.63 ( icext(uri_owl_FunctionalProperty,P)
% 0.47/0.63 <=> ( ip(P)
% 0.47/0.63 & ! [X,Y1,Y2] :
% 0.47/0.63 ( ( iext(P,X,Y1)
% 0.47/0.63 & iext(P,X,Y2) )
% 0.47/0.63 => Y1 = Y2 ) ) ) ).
% 0.47/0.63
% 0.47/0.63 fof(owl_eqdis_sameas,axiom,
% 0.47/0.63 ! [X,Y] :
% 0.47/0.63 ( iext(uri_owl_sameAs,X,Y)
% 0.47/0.63 <=> X = Y ) ).
% 0.47/0.63
% 0.47/0.63 fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
% 0.47/0.63 ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
% 0.47/0.63 & iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ) ).
% 0.47/0.63
% 0.47/0.63 fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
% 0.47/0.63 ? [BNODE_o,BNODE_l] :
% 0.47/0.63 ( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
% 0.47/0.63 & iext(uri_rdf_type,uri_ex_w,BNODE_o)
% 0.47/0.63 & iext(uri_rdf_type,BNODE_o,uri_owl_Class)
% 0.47/0.63 & iext(uri_owl_oneOf,BNODE_o,BNODE_l)
% 0.47/0.63 & iext(uri_rdf_first,BNODE_l,uri_ex_u)
% 0.47/0.63 & iext(uri_rdf_first,BNODE_l,uri_ex_v)
% 0.47/0.63 & iext(uri_rdf_rest,BNODE_l,uri_rdf_nil) ) ).
% 0.47/0.63
% 0.47/0.63 %------------------------------------------------------------------------------
% 0.47/0.63 %-------------------------------------------
% 0.47/0.63 % Proof found
% 0.47/0.63 % SZS status Theorem for theBenchmark
% 0.47/0.63 % SZS output start Proof
% 0.47/0.63 %ClaNum:38(EqnAxiom:16)
% 0.47/0.63 %VarNum:93(SingletonVarNum:33)
% 0.47/0.63 %MaxLitNum:6
% 0.52/0.63 %MaxfuncDepth:1
% 0.52/0.63 %SharedTerms:22
% 0.52/0.63 %goalClause: 32
% 0.52/0.63 [17]P1(a1,a2,a3)
% 0.52/0.63 [18]P1(a1,a4,a5)
% 0.52/0.63 [19]P1(a1,a5,a13)
% 0.52/0.63 [20]P1(a2,a10,a11)
% 0.52/0.63 [21]P1(a2,a10,a12)
% 0.52/0.63 [22]P1(a16,a10,a17)
% 0.52/0.63 [23]P1(a14,a5,a10)
% 0.52/0.63 [32]~P1(a15,a4,a11)+~P1(a15,a4,a12)
% 0.52/0.63 [24]P4(x241)+~P2(a3,x241)
% 0.52/0.63 [26]~E(x261,x262)+P1(a15,x261,x262)
% 0.52/0.63 [27]~P2(x272,x271)+P1(a1,x271,x272)
% 0.52/0.63 [28]E(x281,x282)+~P1(a15,x281,x282)
% 0.52/0.63 [31]P2(x311,x312)+~P1(a1,x312,x311)
% 0.52/0.63 [25]~P4(x251)+~E(f6(x251),f7(x251))+P2(a3,x251)
% 0.52/0.63 [29]~P4(x291)+P1(x291,f8(x291),f7(x291))+P2(a3,x291)
% 0.52/0.63 [30]~P4(x301)+P1(x301,f8(x301),f6(x301))+P2(a3,x301)
% 0.52/0.63 [34]P3(x341)+~P1(a14,x341,x342)+~P1(a2,x342,x343)+~P1(a16,x342,a17)
% 0.52/0.63 [33]~P1(x333,x334,x331)+E(x331,x332)+~P1(x333,x334,x332)+~P2(a3,x333)
% 0.52/0.63 [35]P2(x351,x352)+~E(x352,x353)+~P1(a14,x351,x354)+~P1(a2,x354,x353)+~P1(a16,x354,a17)
% 0.52/0.63 [36]E(x361,x362)+~P2(x363,x361)+~P1(a14,x363,x364)+~P1(a2,x364,x362)+~P1(a16,x364,a17)
% 0.52/0.63 [37]~P3(x371)+P1(a14,x371,x372)+~P1(a2,x372,x373)+E(f9(x371,x372,x373),x373)+P2(x371,f9(x371,x372,x373))+~P1(a16,x372,a17)
% 0.52/0.63 [38]~P3(x381)+~P1(a2,x382,x383)+P1(a14,x381,x382)+~E(f9(x381,x382,x383),x383)+~P2(x381,f9(x381,x382,x383))+~P1(a16,x382,a17)
% 0.52/0.63 %EqnAxiom
% 0.52/0.63 [1]E(x11,x11)
% 0.52/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.63 [4]~E(x41,x42)+E(f6(x41),f6(x42))
% 0.52/0.63 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.52/0.63 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.52/0.63 [7]~E(x71,x72)+E(f9(x71,x73,x74),f9(x72,x73,x74))
% 0.52/0.63 [8]~E(x81,x82)+E(f9(x83,x81,x84),f9(x83,x82,x84))
% 0.52/0.63 [9]~E(x91,x92)+E(f9(x93,x94,x91),f9(x93,x94,x92))
% 0.52/0.63 [10]P1(x102,x103,x104)+~E(x101,x102)+~P1(x101,x103,x104)
% 0.52/0.63 [11]P1(x113,x112,x114)+~E(x111,x112)+~P1(x113,x111,x114)
% 0.52/0.63 [12]P1(x123,x124,x122)+~E(x121,x122)+~P1(x123,x124,x121)
% 0.52/0.63 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 0.52/0.63 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 0.52/0.63 [15]~P3(x151)+P3(x152)+~E(x151,x152)
% 0.52/0.63 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.52/0.63
% 0.52/0.63 %-------------------------------------------
% 0.52/0.63 cnf(49,plain,
% 0.52/0.63 (~E(a2,x491)+E(x492,a11)+~P2(a5,x492)),
% 0.52/0.63 inference(scs_inference,[],[17,20,22,23,31,24,34,16,30,29,25,36])).
% 0.52/0.63 cnf(57,plain,
% 0.52/0.63 (~P2(a5,x571)+E(x571,a11)),
% 0.52/0.63 inference(equality_inference,[],[49])).
% 0.52/0.63 cnf(68,plain,
% 0.52/0.63 (E(x681,a12)+~P2(a5,x681)),
% 0.52/0.63 inference(scs_inference,[],[23,21,22,36])).
% 0.52/0.63 cnf(71,plain,
% 0.52/0.63 (E(f6(x711),f6(x712))+~E(x712,x711)),
% 0.52/0.63 inference(scs_inference,[],[2,4])).
% 0.52/0.63 cnf(73,plain,
% 0.52/0.63 (E(f7(x731),f7(a11))+~P2(a5,x731)),
% 0.52/0.63 inference(scs_inference,[],[57,5])).
% 0.52/0.63 cnf(76,plain,
% 0.52/0.63 (E(a4,a11)),
% 0.52/0.63 inference(scs_inference,[],[22,23,18,20,31,36])).
% 0.52/0.63 cnf(78,plain,
% 0.52/0.63 (E(a11,a4)),
% 0.52/0.63 inference(scs_inference,[],[22,23,18,20,31,36,2])).
% 0.52/0.63 cnf(81,plain,
% 0.52/0.63 (E(a4,a12)),
% 0.52/0.63 inference(scs_inference,[],[22,23,18,20,31,36,2,73,68])).
% 0.52/0.63 cnf(106,plain,
% 0.52/0.63 (~P1(a15,a4,a12)),
% 0.52/0.63 inference(scs_inference,[],[76,81,78,20,71,26,9,8,7,6,12,11,3,32])).
% 0.52/0.63 cnf(119,plain,
% 0.52/0.63 ($false),
% 0.52/0.63 inference(scs_inference,[],[106,81,26]),
% 0.52/0.63 ['proof']).
% 0.52/0.63 % SZS output end Proof
% 0.52/0.63 % Total time :0.020000s
%------------------------------------------------------------------------------