%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS168+1 : TPTP v8.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n007.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 10:08:45 EDT 2024 % Result : Theorem 0.54s 0.63s % Output : CNFRefutation 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KRS168+1 : TPTP v8.2.0. Released v3.1.0. % 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n007.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Wed Jun 19 14:28:39 EDT 2024 % 0.20/0.34 % CPUTime : % 0.53/0.57 start to proof:theBenchmark % 0.54/0.62 %------------------------------------------- % 0.54/0.62 % File :CSE---1.7 % 0.54/0.62 % Problem :theBenchmark % 0.54/0.62 % Transform :cnf % 0.54/0.62 % Format :tptp:raw % 0.54/0.62 % Command :java -jar mcs_scs.jar %d %s % 0.54/0.62 % 0.54/0.62 % Result :Theorem 0.000000s % 0.54/0.62 % Output :CNFRefutation 0.000000s % 0.54/0.62 %------------------------------------------- % 0.54/0.62 %------------------------------------------------------------------------------ % 0.54/0.62 % File : KRS168+1 : TPTP v8.2.0. Released v3.1.0. % 0.54/0.62 % Domain : Knowledge Representation (Semantic Web) % 0.54/0.62 % Problem : De Morgan's law % 0.54/0.62 % Version : Especial. % 0.54/0.62 % English : % 0.54/0.62 % 0.54/0.62 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.54/0.62 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.54/0.62 % Source : [Bec03] % 0.54/0.62 % Names : positive_equivalentClass-Manifest006 [Bec03] % 0.54/0.62 % 0.54/0.62 % Status : Theorem % 0.54/0.62 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.0, 0.05 v3.7.0, 0.00 v3.3.0, 0.11 v3.1.0 % 0.54/0.62 % Syntax : Number of formulae : 3 ( 0 unt; 0 def) % 0.54/0.62 % Number of atoms : 12 ( 0 equ) % 0.54/0.62 % Maximal formula atoms : 8 ( 4 avg) % 0.54/0.62 % Number of connectives : 16 ( 7 ~; 1 |; 5 &) % 0.54/0.62 % ( 3 <=>; 0 =>; 0 <=; 0 <~>) % 0.54/0.62 % Maximal formula depth : 7 ( 5 avg) % 0.54/0.62 % Maximal term depth : 1 ( 1 avg) % 0.54/0.62 % Number of predicates : 6 ( 6 usr; 0 prp; 1-1 aty) % 0.54/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 0.54/0.62 % Number of variables : 5 ( 5 !; 0 ?) % 0.54/0.62 % SPC : FOF_THM_EPR_NEQ % 0.54/0.62 % 0.54/0.62 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.54/0.62 % datatypes, so this problem may not be perfect. At least it's % 0.54/0.62 % still representative of the type of reasoning required for OWL. % 0.54/0.62 %------------------------------------------------------------------------------ % 0.54/0.63 %----Thing and Nothing % 0.54/0.63 fof(axiom_0,axiom, % 0.54/0.63 ! [X] : % 0.54/0.63 ( cowlThing(X) % 0.54/0.63 & ~ cowlNothing(X) ) ). % 0.54/0.63 % 0.54/0.63 %----String and Integer disjoint % 0.54/0.63 fof(axiom_1,axiom, % 0.54/0.63 ! [X] : % 0.54/0.63 ( xsd_string(X) % 0.54/0.63 <=> ~ xsd_integer(X) ) ). % 0.54/0.63 % 0.54/0.63 %----Thing and Nothing % 0.54/0.63 %----String and Integer disjoint % 0.54/0.63 fof(the_axiom,conjecture, % 0.54/0.63 ( ! [X] : % 0.54/0.63 ( cowlThing(X) % 0.54/0.63 & ~ cowlNothing(X) ) % 0.54/0.63 & ! [X] : % 0.54/0.63 ( xsd_string(X) % 0.54/0.63 <=> ~ xsd_integer(X) ) % 0.54/0.63 & ! [X] : % 0.54/0.63 ( ( ~ cB(X) % 0.54/0.63 & ~ cA(X) ) % 0.54/0.63 <=> ~ ( cA(X) % 0.54/0.63 | cB(X) ) ) ) ). % 0.54/0.63 % 0.54/0.63 %------------------------------------------------------------------------------ % 0.54/0.63 %------------------------------------------- % 0.54/0.63 % Proof found % 0.54/0.63 % SZS status Theorem for theBenchmark % 0.54/0.63 % SZS output start Proof % 0.54/0.63 %ClaNum:13(EqnAxiom:0) % 0.54/0.63 %VarNum:5(SingletonVarNum:3) % 0.54/0.63 %MaxLitNum:5 % 0.54/0.63 %MaxfuncDepth:0 % 0.54/0.63 %SharedTerms:12 % 0.54/0.63 %goalClause: 4 5 6 7 8 9 % 0.54/0.63 [1]~P1(x11) % 0.54/0.63 [2]P5(x21)+P4(x21) % 0.54/0.63 [3]~P5(x31)+~P4(x31) % 0.54/0.63 [4]P1(a1)+P4(a2)+~P5(a2)+~P2(a3) % 0.54/0.63 [5]P1(a1)+P4(a2)+~P5(a2)+~P3(a3) % 0.54/0.63 [6]P1(a1)+P5(a2)+~P4(a2)+~P2(a3) % 0.54/0.63 [7]P1(a1)+P5(a2)+~P4(a2)+~P3(a3) % 0.54/0.63 [8]P1(a1)+P4(a2)+P2(a3)+P3(a3)+~P5(a2) % 0.54/0.63 [9]P1(a1)+P5(a2)+P2(a3)+P3(a3)+~P4(a2) % 0.54/0.63 %EqnAxiom % 0.54/0.63 % 0.54/0.63 %------------------------------------------- % 0.54/0.63 cnf(19,plain, % 0.54/0.63 (P4(a2)+~P5(a2)+~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[1,4])). % 0.54/0.63 cnf(20,plain, % 0.54/0.63 (P4(a2)+~P5(a2)+~P3(a3)), % 0.54/0.63 inference(scs_inference,[],[1,5])). % 0.54/0.63 cnf(21,plain, % 0.54/0.63 (P5(a2)+~P4(a2)+~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[1,6])). % 0.54/0.63 cnf(22,plain, % 0.54/0.63 (P5(a2)+~P4(a2)+~P3(a3)), % 0.54/0.63 inference(scs_inference,[],[1,7])). % 0.54/0.63 cnf(23,plain, % 0.54/0.63 (P4(a2)+P2(a3)+P3(a3)+~P5(a2)), % 0.54/0.63 inference(scs_inference,[],[1,8])). % 0.54/0.63 cnf(24,plain, % 0.54/0.63 (P5(a2)+P2(a3)+P3(a3)+~P4(a2)), % 0.54/0.63 inference(scs_inference,[],[1,9])). % 0.54/0.63 cnf(26,plain, % 0.54/0.63 (~P5(a2)+~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[19,3])). % 0.54/0.63 cnf(27,plain, % 0.54/0.63 (P4(a2)+~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[26,2])). % 0.54/0.63 cnf(28,plain, % 0.54/0.63 (P5(a2)+~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[27,21])). % 0.54/0.63 cnf(29,plain, % 0.54/0.63 (~P4(a2)+~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[28,3])). % 0.54/0.63 cnf(30,plain, % 0.54/0.63 (~P2(a3)), % 0.54/0.63 inference(scs_inference,[],[29,27])). % 0.54/0.63 cnf(31,plain, % 0.54/0.63 (P4(a2)+P3(a3)+~P5(a2)), % 0.54/0.63 inference(scs_inference,[],[30,23])). % 0.54/0.63 cnf(32,plain, % 0.54/0.63 (P5(a2)+P3(a3)+~P4(a2)), % 0.54/0.63 inference(scs_inference,[],[30,24])). % 0.54/0.63 cnf(33,plain, % 0.54/0.63 (~P5(a2)+~P3(a3)), % 0.54/0.63 inference(scs_inference,[],[20,3])). % 0.54/0.63 cnf(34,plain, % 0.54/0.63 (P4(a2)+~P3(a3)), % 0.54/0.63 inference(scs_inference,[],[33,2])). % 0.54/0.63 cnf(35,plain, % 0.54/0.63 (P5(a2)+~P3(a3)), % 0.54/0.63 inference(scs_inference,[],[34,22])). % 0.54/0.63 cnf(36,plain, % 0.54/0.63 (~P3(a3)), % 0.54/0.63 inference(scs_inference,[],[35,33])). % 0.54/0.63 cnf(37,plain, % 0.54/0.63 (P4(a2)+~P5(a2)), % 0.54/0.63 inference(scs_inference,[],[36,31])). % 0.54/0.63 cnf(38,plain, % 0.54/0.63 (P5(a2)+~P4(a2)), % 0.54/0.63 inference(scs_inference,[],[36,32])). % 0.54/0.63 cnf(39,plain, % 0.54/0.63 (~P5(a2)), % 0.54/0.63 inference(scs_inference,[],[37,3])). % 0.54/0.63 cnf(40,plain, % 0.54/0.63 (~P4(a2)), % 0.54/0.63 inference(scs_inference,[],[39,38])). % 0.54/0.63 cnf(41,plain, % 0.54/0.63 ($false), % 0.54/0.63 inference(scs_inference,[],[39,40,2]), % 0.54/0.63 ['proof']). % 0.54/0.63 % SZS output end Proof % 0.54/0.63 % Total time :0.000000s %------------------------------------------------------------------------------