TSTP Solution File: SWB029+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB029+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 : n025.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 20:01:25 EDT 2023
% Result : Theorem 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB029+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
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 06:57:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 % File :CSE---1.6
% 0.21/0.62 % Problem :theBenchmark
% 0.21/0.62 % Transform :cnf
% 0.21/0.62 % Format :tptp:raw
% 0.21/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.62
% 0.21/0.62 % Result :Theorem 0.000000s
% 0.21/0.62 % Output :CNFRefutation 0.000000s
% 0.21/0.62 %-------------------------------------------
% 0.21/0.62 %------------------------------------------------------------------------------
% 0.21/0.62 % File : SWB029+2 : TPTP v8.1.2. Released v5.2.0.
% 0.21/0.62 % Domain : Semantic Web
% 0.21/0.63 % Problem : Ex Falso Quodlibet
% 0.21/0.63 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.21/0.63 % English :
% 0.21/0.63
% 0.21/0.63 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.21/0.63 % Source : [Sch11]
% 0.21/0.63 % Names : 029_Ex_Falso_Quodlibet [Sch11]
% 0.21/0.63
% 0.21/0.63 % Status : ContradictoryAxioms
% 0.21/0.63 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0
% 0.21/0.63 % Syntax : Number of formulae : 5 ( 1 unt; 0 def)
% 0.21/0.63 % Number of atoms : 28 ( 0 equ)
% 0.21/0.63 % Maximal formula atoms : 11 ( 5 avg)
% 0.21/0.63 % Number of connectives : 24 ( 1 ~; 0 |; 17 &)
% 0.21/0.63 % ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% 0.21/0.63 % Maximal formula depth : 14 ( 8 avg)
% 0.21/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.63 % Number of predicates : 3 ( 3 usr; 0 prp; 1-3 aty)
% 0.21/0.63 % Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% 0.21/0.63 % Number of variables : 15 ( 11 !; 4 ?)
% 0.21/0.63 % SPC : FOF_CAX_RFO_NEQ
% 0.21/0.63
% 0.21/0.63 % Comments :
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 fof(rdfs_cext_def,axiom,
% 0.21/0.63 ! [X,C] :
% 0.21/0.63 ( iext(uri_rdf_type,X,C)
% 0.21/0.63 <=> icext(C,X) ) ).
% 0.21/0.63
% 0.21/0.63 fof(owl_bool_complementof_class,axiom,
% 0.21/0.63 ! [Z,C] :
% 0.21/0.63 ( iext(uri_owl_complementOf,Z,C)
% 0.21/0.63 => ( ic(Z)
% 0.21/0.63 & ic(C)
% 0.21/0.63 & ! [X] :
% 0.21/0.63 ( icext(Z,X)
% 0.21/0.63 <=> ~ icext(C,X) ) ) ) ).
% 0.21/0.63
% 0.21/0.63 fof(owl_bool_intersectionof_class_002,axiom,
% 0.21/0.63 ! [Z,S1,C1,S2,C2] :
% 0.21/0.63 ( ( iext(uri_rdf_first,S1,C1)
% 0.21/0.63 & iext(uri_rdf_rest,S1,S2)
% 0.21/0.63 & iext(uri_rdf_first,S2,C2)
% 0.21/0.63 & iext(uri_rdf_rest,S2,uri_rdf_nil) )
% 0.21/0.63 => ( iext(uri_owl_intersectionOf,Z,S1)
% 0.21/0.63 <=> ( ic(Z)
% 0.21/0.63 & ic(C1)
% 0.21/0.63 & ic(C2)
% 0.21/0.63 & ! [X] :
% 0.21/0.63 ( icext(Z,X)
% 0.21/0.63 <=> ( icext(C1,X)
% 0.21/0.63 & icext(C2,X) ) ) ) ) ) ).
% 0.21/0.63
% 0.21/0.63 fof(testcase_conclusion_fullish_029_Ex_Falso_Quodlibet,conjecture,
% 0.21/0.63 iext(uri_rdf_type,uri_ex_w,uri_ex_B) ).
% 0.21/0.63
% 0.21/0.63 fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
% 0.21/0.63 ? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
% 0.21/0.63 ( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
% 0.21/0.63 & iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
% 0.21/0.63 & iext(uri_rdf_type,uri_ex_w,BNODE_x)
% 0.21/0.63 & iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
% 0.21/0.63 & iext(uri_rdf_first,BNODE_l1,uri_ex_A)
% 0.21/0.63 & iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
% 0.21/0.63 & iext(uri_rdf_first,BNODE_l2,BNODE_y)
% 0.21/0.63 & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
% 0.21/0.63 & iext(uri_owl_complementOf,BNODE_y,uri_ex_A) ) ).
% 0.21/0.63
% 0.21/0.63 %------------------------------------------------------------------------------
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 % Proof found
% 0.21/0.63 % SZS status Theorem for theBenchmark
% 0.21/0.63 % SZS output start Proof
% 0.21/0.63 %ClaNum:25(EqnAxiom:0)
% 0.21/0.63 %VarNum:175(SingletonVarNum:62)
% 0.21/0.63 %MaxLitNum:11
% 0.21/0.63 %MaxfuncDepth:1
% 0.21/0.63 %SharedTerms:24
% 0.21/0.63 %goalClause: 10
% 0.21/0.63 %singleGoalClaCount:1
% 0.21/0.63 [1]P1(a1,a2,a3)
% 0.21/0.63 [2]P1(a1,a5,a10)
% 0.21/0.63 [3]P1(a1,a6,a10)
% 0.21/0.63 [4]P1(a11,a7,a6)
% 0.21/0.63 [5]P1(a12,a8,a6)
% 0.21/0.63 [6]P1(a12,a9,a7)
% 0.21/0.63 [7]P1(a14,a8,a9)
% 0.21/0.63 [8]P1(a14,a9,a15)
% 0.21/0.63 [9]P1(a13,a3,a8)
% 0.21/0.63 [10]~P1(a1,a2,a5)
% 0.21/0.63 [11]~P2(x112,x111)+P1(a1,x111,x112)
% 0.21/0.63 [12]P3(x121)+~P1(a11,x122,x121)
% 0.21/0.63 [13]P3(x131)+~P1(a11,x131,x132)
% 0.21/0.63 [14]P2(x141,x142)+~P1(a1,x142,x141)
% 0.21/0.63 [15]P2(x151,x152)+P2(x153,x152)+~P1(a11,x151,x153)
% 0.21/0.63 [16]~P2(x161,x162)+~P2(x163,x162)+~P1(a11,x163,x161)
% 0.21/0.63 [17]P3(x171)+~P1(a14,x173,x172)+~P1(a12,x172,x171)+~P1(a12,x173,x174)+~P1(a13,x175,x173)+~P1(a14,x172,a15)
% 0.21/0.63 [18]P3(x181)+~P1(a14,x184,x182)+~P1(a12,x182,x183)+~P1(a12,x184,x181)+~P1(a13,x185,x184)+~P1(a14,x182,a15)
% 0.21/0.63 [19]P3(x191)+~P1(a14,x194,x192)+~P1(a13,x191,x194)+~P1(a12,x192,x193)+~P1(a12,x194,x195)+~P1(a14,x192,a15)
% 0.21/0.63 [20]P2(x201,x202)+~P2(x203,x202)+~P1(a14,x205,x204)+~P1(a13,x203,x205)+~P1(a12,x204,x201)+~P1(a12,x205,x206)+~P1(a14,x204,a15)
% 0.21/0.63 [21]P2(x211,x212)+~P2(x213,x212)+~P1(a14,x216,x214)+~P1(a13,x213,x216)+~P1(a12,x214,x215)+~P1(a12,x216,x211)+~P1(a14,x214,a15)
% 0.21/0.63 [22]P2(x221,x222)+~P2(x223,x222)+~P2(x224,x222)+~P1(a14,x226,x225)+~P1(a13,x221,x226)+~P1(a12,x225,x223)+~P1(a12,x226,x224)+~P1(a14,x225,a15)
% 0.21/0.63 [23]~P3(x233)+~P3(x231)+~P3(x235)+~P1(a12,x234,x235)+~P1(a12,x232,x233)+~P1(a14,x232,x234)+P1(a13,x231,x232)+P2(x231,f4(x231,x232,x233,x234,x235))+P2(x235,f4(x231,x232,x233,x234,x235))+~P1(a14,x234,a15)
% 0.21/0.63 [24]~P3(x245)+~P3(x241)+~P3(x243)+~P1(a12,x244,x245)+~P1(a12,x242,x243)+~P1(a14,x242,x244)+P1(a13,x241,x242)+P2(x241,f4(x241,x242,x243,x244,x245))+P2(x243,f4(x241,x242,x243,x244,x245))+~P1(a14,x244,a15)
% 0.21/0.63 [25]~P3(x251)+~P3(x253)+~P3(x254)+~P1(a12,x252,x254)+~P1(a14,x252,x255)+P1(a13,x251,x252)+~P1(a12,x255,x253)+~P2(x253,f4(x251,x252,x254,x255,x253))+~P2(x254,f4(x251,x252,x254,x255,x253))+~P2(x251,f4(x251,x252,x254,x255,x253))+~P1(a14,x255,a15)
% 0.21/0.63 %EqnAxiom
% 0.21/0.63
% 0.21/0.63 %-------------------------------------------
% 0.21/0.63 cnf(33,plain,
% 0.21/0.63 (P2(a6,a2)),
% 0.21/0.63 inference(scs_inference,[],[10,1,4,5,6,7,8,9,14,13,12,11,19,21])).
% 0.21/0.63 cnf(34,plain,
% 0.21/0.63 (P2(a7,a2)),
% 0.21/0.63 inference(scs_inference,[],[10,1,4,5,6,7,8,9,14,13,12,11,19,21,20])).
% 0.21/0.63 cnf(56,plain,
% 0.21/0.63 ($false),
% 0.21/0.63 inference(scs_inference,[],[4,34,33,16]),
% 0.21/0.63 ['proof']).
% 0.21/0.63 % SZS output end Proof
% 0.21/0.63 % Total time :0.000000s
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