%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS169+1 : TPTP v8.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n005.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 : Mon Jun 24 10:08:46 EDT 2024 % Result : Theorem 0.54s 0.61s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KRS169+1 : TPTP v8.2.0. Released v3.1.0. % 0.11/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.11/0.31 % Computer : n005.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 300 % 0.11/0.31 % DateTime : Wed Jun 19 13:38:53 EDT 2024 % 0.11/0.32 % CPUTime : % 0.17/0.56 start to proof:theBenchmark % 0.54/0.60 %------------------------------------------- % 0.54/0.60 % File :CSE---1.7 % 0.54/0.60 % Problem :theBenchmark % 0.54/0.60 % Transform :cnf % 0.54/0.60 % Format :tptp:raw % 0.54/0.60 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.60 % 0.54/0.60 % Result :Theorem 0.010000s % 0.54/0.60 % Output :CNFRefutation 0.010000s % 0.54/0.60 %------------------------------------------- % 0.54/0.61 %------------------------------------------------------------------------------ % 0.54/0.61 % File : KRS169+1 : TPTP v8.2.0. Released v3.1.0. % 0.54/0.61 % Domain : Knowledge Representation (Semantic Web) % 0.54/0.61 % Problem : hasLeader may be stated as the owl:equivalentProperty of hasHead % 0.54/0.61 % Version : Especial. % 0.54/0.61 % English : % 0.54/0.61 % 0.54/0.61 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.54/0.61 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.54/0.61 % Source : [Bec03] % 0.54/0.61 % Names : positive_equivalentProperty-Manifest001 [Bec03] % 0.54/0.61 % 0.54/0.61 % Status : Theorem % 0.54/0.61 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0 % 0.54/0.61 % Syntax : Number of formulae : 7 ( 3 unt; 0 def) % 0.54/0.61 % Number of atoms : 16 ( 0 equ) % 0.54/0.61 % Maximal formula atoms : 7 ( 2 avg) % 0.54/0.61 % Number of connectives : 13 ( 4 ~; 0 |; 6 &) % 0.54/0.61 % ( 3 <=>; 0 =>; 0 <=; 0 <~>) % 0.54/0.61 % Maximal formula depth : 6 ( 3 avg) % 0.54/0.61 % Maximal term depth : 1 ( 1 avg) % 0.54/0.61 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty) % 0.54/0.61 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty) % 0.54/0.61 % Number of variables : 6 ( 6 !; 0 ?) % 0.54/0.61 % SPC : FOF_THM_EPR_NEQ % 0.54/0.61 % 0.54/0.61 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.54/0.61 % datatypes, so this problem may not be perfect. At least it's % 0.54/0.61 % still representative of the type of reasoning required for OWL. % 0.54/0.61 %------------------------------------------------------------------------------ % 0.54/0.61 %----Thing and Nothing % 0.54/0.61 fof(axiom_0,axiom, % 0.54/0.61 ! [X] : % 0.54/0.61 ( cowlThing(X) % 0.54/0.61 & ~ cowlNothing(X) ) ). % 0.54/0.61 % 0.54/0.61 %----String and Integer disjoint % 0.54/0.61 fof(axiom_1,axiom, % 0.54/0.61 ! [X] : % 0.54/0.61 ( xsd_string(X) % 0.54/0.61 <=> ~ xsd_integer(X) ) ). % 0.54/0.61 % 0.54/0.61 %----iX % 0.54/0.61 fof(axiom_2,axiom, % 0.54/0.61 cowlThing(iX) ). % 0.54/0.61 % 0.54/0.61 fof(axiom_3,axiom, % 0.54/0.61 rhasLeader(iX,iY) ). % 0.54/0.61 % 0.54/0.61 %----iY % 0.54/0.61 fof(axiom_4,axiom, % 0.54/0.61 cowlThing(iY) ). % 0.54/0.61 % 0.54/0.61 fof(axiom_5,axiom, % 0.54/0.61 ! [X,Y] : % 0.54/0.61 ( rhasLeader(X,Y) % 0.54/0.61 <=> rhasHead(X,Y) ) ). % 0.54/0.61 % 0.54/0.61 %----Thing and Nothing % 0.54/0.61 %----String and Integer disjoint % 0.54/0.61 %----iX % 0.54/0.61 %----iY % 0.54/0.61 fof(the_axiom,conjecture, % 0.54/0.61 ( ! [X] : % 0.54/0.61 ( cowlThing(X) % 0.54/0.61 & ~ cowlNothing(X) ) % 0.54/0.61 & ! [X] : % 0.54/0.61 ( xsd_string(X) % 0.54/0.61 <=> ~ xsd_integer(X) ) % 0.54/0.61 & cowlThing(iX) % 0.54/0.61 & rhasHead(iX,iY) % 0.54/0.61 & cowlThing(iY) ) ). % 0.54/0.61 % 0.54/0.61 %------------------------------------------------------------------------------ % 0.54/0.61 %------------------------------------------- % 0.54/0.61 % Proof found % 0.54/0.61 % SZS status Theorem for theBenchmark % 0.54/0.61 % SZS output start Proof % 0.54/0.61 %ClaNum:8(EqnAxiom:0) % 0.54/0.61 %VarNum:13(SingletonVarNum:7) % 0.54/0.61 %MaxLitNum:4 % 0.54/0.61 %MaxfuncDepth:0 % 0.54/0.61 %SharedTerms:11 % 0.54/0.61 %goalClause: 5 6 % 0.54/0.61 [1]P1(a1,a4) % 0.54/0.61 [2]~P2(x21) % 0.54/0.61 [3]P5(x31)+P4(x31) % 0.54/0.61 [4]~P5(x41)+~P4(x41) % 0.54/0.61 [7]~P3(x71,x72)+P1(x71,x72) % 0.54/0.61 [8]~P1(x81,x82)+P3(x81,x82) % 0.54/0.61 [5]P2(a2)+P4(a3)+~P5(a3)+~P3(a1,a4) % 0.54/0.61 [6]~P3(a1,a4)+P2(a2)+P5(a3)+~P4(a3) % 0.54/0.61 %EqnAxiom % 0.54/0.61 % 0.54/0.61 %------------------------------------------- % 0.54/0.61 cnf(12,plain, % 0.54/0.61 (~P3(a1,a4)+P4(a3)+~P5(a3)), % 0.54/0.61 inference(scs_inference,[],[2,5])). % 0.54/0.61 cnf(13,plain, % 0.54/0.61 (~P3(a1,a4)+P5(a3)+~P4(a3)), % 0.54/0.61 inference(scs_inference,[],[2,6])). % 0.54/0.61 cnf(16,plain, % 0.54/0.61 (P4(a3)+~P5(a3)), % 0.54/0.61 inference(scs_inference,[],[1,12,8])). % 0.54/0.61 cnf(17,plain, % 0.54/0.61 (~P5(a3)), % 0.54/0.61 inference(scs_inference,[],[16,4])). % 0.54/0.61 cnf(18,plain, % 0.54/0.61 (~P3(a1,a4)+~P4(a3)), % 0.54/0.61 inference(scs_inference,[],[17,13])). % 0.54/0.61 cnf(19,plain, % 0.54/0.61 (~P4(a3)), % 0.54/0.61 inference(scs_inference,[],[1,18,8])). % 0.54/0.61 cnf(20,plain, % 0.54/0.61 ($false), % 0.54/0.61 inference(scs_inference,[],[17,19,3]), % 0.54/0.61 ['proof']). % 0.54/0.62 % SZS output end Proof % 0.54/0.62 % Total time :0.010000s %------------------------------------------------------------------------------