TSTP Solution File: SWB009+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWB009+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 20:01:09 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n025.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 : Sun Aug 27 07:18:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.010000s
% 0.20/0.64 % Output :CNFRefutation 0.010000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.20/0.64 % Domain : Semantic Web
% 0.20/0.64 % Problem : Existential Restriction Entailments
% 0.20/0.64 % Version : [Sch11] axioms : Reduced > Incomplete.
% 0.20/0.64 % English :
% 0.20/0.64
% 0.20/0.64 % Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% 0.20/0.64 % Source : [Sch11]
% 0.20/0.64 % Names : 009_Existential_Restriction_Entailments [Sch11]
% 0.20/0.64
% 0.20/0.64 % Status : Theorem
% 0.20/0.64 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.3.0, 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
% 0.20/0.64 % Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% 0.20/0.64 % Number of atoms : 15 ( 0 equ)
% 0.20/0.64 % Maximal formula atoms : 6 ( 3 avg)
% 0.20/0.64 % Number of connectives : 11 ( 0 ~; 0 |; 8 &)
% 0.20/0.64 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.64 % Maximal formula depth : 9 ( 6 avg)
% 0.20/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.64 % Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% 0.20/0.64 % Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% 0.20/0.64 % Number of variables : 9 ( 6 !; 3 ?)
% 0.20/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.64
% 0.20/0.64 % Comments :
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 fof(rdfs_cext_def,axiom,
% 0.20/0.64 ! [X,C] :
% 0.20/0.64 ( iext(uri_rdf_type,X,C)
% 0.20/0.64 <=> icext(C,X) ) ).
% 0.20/0.64
% 0.20/0.64 fof(owl_restrict_somevaluesfrom,axiom,
% 0.20/0.64 ! [Z,P,C] :
% 0.20/0.64 ( ( iext(uri_owl_someValuesFrom,Z,C)
% 0.20/0.64 & iext(uri_owl_onProperty,Z,P) )
% 0.20/0.64 => ! [X] :
% 0.20/0.64 ( icext(Z,X)
% 0.20/0.64 <=> ? [Y] :
% 0.20/0.64 ( iext(P,X,Y)
% 0.20/0.64 & icext(C,Y) ) ) ) ).
% 0.20/0.64
% 0.20/0.64 fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
% 0.20/0.64 ? [BNODE_x] :
% 0.20/0.64 ( iext(uri_ex_p,uri_ex_s,BNODE_x)
% 0.20/0.64 & iext(uri_rdf_type,BNODE_x,uri_ex_c) ) ).
% 0.20/0.64
% 0.20/0.64 fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
% 0.20/0.64 ? [BNODE_z] :
% 0.20/0.64 ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
% 0.20/0.64 & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
% 0.20/0.64 & iext(uri_rdf_type,uri_ex_s,BNODE_z)
% 0.20/0.64 & iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
% 0.20/0.64 & iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
% 0.20/0.64 & iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:12(EqnAxiom:0)
% 0.20/0.64 %VarNum:44(SingletonVarNum:18)
% 0.20/0.64 %MaxLitNum:5
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:16
% 0.20/0.64 %goalClause: 9
% 0.20/0.64 [1]P1(a1,a2,a6)
% 0.20/0.64 [2]P1(a1,a7,a3)
% 0.20/0.64 [3]P1(a1,a5,a8)
% 0.20/0.64 [4]P1(a1,a3,a9)
% 0.20/0.64 [5]P1(a10,a3,a5)
% 0.20/0.64 [6]P1(a11,a3,a2)
% 0.20/0.64 [9]~P1(a2,a7,x91)+~P1(a1,x91,a5)
% 0.20/0.64 [7]~P2(x72,x71)+P1(a1,x71,x72)
% 0.20/0.64 [8]P2(x81,x82)+~P1(a1,x82,x81)
% 0.20/0.64 [11]~P2(x112,x114)+~P1(a10,x112,x111)+~P1(a11,x112,x113)+P2(x111,f4(x112,x113,x111,x114))
% 0.20/0.64 [12]~P2(x123,x122)+~P1(a10,x123,x124)+~P1(a11,x123,x121)+P1(x121,x122,f4(x123,x121,x124,x122))
% 0.20/0.64 [10]P2(x101,x102)+~P1(x105,x102,x104)+~P2(x103,x104)+~P1(a10,x101,x103)+~P1(a11,x101,x105)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 cnf(17,plain,
% 0.20/0.65 (~P2(a3,x171)+P2(a5,f4(a3,a2,a5,x171))),
% 0.20/0.65 inference(scs_inference,[],[5,6,11])).
% 0.20/0.65 cnf(25,plain,
% 0.20/0.65 (P1(a1,f4(a3,a2,a5,x251),a5)+~P2(a3,x251)),
% 0.20/0.65 inference(scs_inference,[],[7,17])).
% 0.20/0.65 cnf(27,plain,
% 0.20/0.65 (~P2(a3,x271)+~P1(a2,a7,f4(a3,a2,a5,x271))),
% 0.20/0.65 inference(scs_inference,[],[9,25])).
% 0.20/0.65 cnf(32,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[5,2,6,8,12,27]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.010000s
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