%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS072+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 : n017.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 10:08:23 EDT 2024 % Result : Unsatisfiable 0.53s 0.74s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS072+1 : TPTP v8.2.0. Released v3.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n017.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 : Wed Jun 19 14:32:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.52/0.56 start to proof:theBenchmark % 0.53/0.73 %------------------------------------------- % 0.53/0.73 % File :CSE---1.7 % 0.53/0.73 % Problem :theBenchmark % 0.53/0.73 % Transform :cnf % 0.53/0.73 % Format :tptp:raw % 0.53/0.73 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.73 % 0.53/0.73 % Result :Theorem 0.130000s % 0.53/0.73 % Output :CNFRefutation 0.130000s % 0.53/0.73 %------------------------------------------- % 0.53/0.73 %------------------------------------------------------------------------------ % 0.53/0.73 % File : KRS072+1 : TPTP v8.2.0. Released v3.1.0. % 0.53/0.73 % Domain : Knowledge Representation (Semantic Web) % 0.53/0.73 % Problem : DL Test: t1.3 % 0.53/0.73 % Version : Especial. % 0.53/0.73 % English : % 0.53/0.73 % 0.53/0.73 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.53/0.73 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.53/0.73 % Source : [Bec03] % 0.53/0.73 % Names : inconsistent_description-logic-Manifest008 [Bec03] % 0.53/0.73 % 0.53/0.73 % Status : Unsatisfiable % 0.53/0.73 % Rating : 0.00 v3.1.0 % 0.53/0.73 % Syntax : Number of formulae : 23 ( 1 unt; 0 def) % 0.53/0.73 % Number of atoms : 71 ( 15 equ) % 0.53/0.73 % Maximal formula atoms : 8 ( 3 avg) % 0.53/0.73 % Number of connectives : 54 ( 6 ~; 6 |; 20 &) % 0.53/0.73 % ( 3 <=>; 19 =>; 0 <=; 0 <~>) % 0.53/0.73 % Maximal formula depth : 11 ( 5 avg) % 0.53/0.73 % Maximal term depth : 1 ( 1 avg) % 0.53/0.73 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty) % 0.53/0.73 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.53/0.73 % Number of variables : 45 ( 43 !; 2 ?) % 0.53/0.73 % SPC : FOF_UNS_RFO_SEQ % 0.53/0.73 % 0.53/0.73 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.53/0.73 % datatypes, so this problem may not be perfect. At least it's % 0.53/0.73 % still representative of the type of reasoning required for OWL. % 0.53/0.73 %------------------------------------------------------------------------------ % 0.53/0.73 fof(cUnsatisfiable_substitution_1,axiom, % 0.53/0.73 ! [A,B] : % 0.53/0.73 ( ( A = B % 0.53/0.73 & cUnsatisfiable(A) ) % 0.53/0.73 => cUnsatisfiable(B) ) ). % 0.53/0.73 % 0.53/0.73 fof(cowlNothing_substitution_1,axiom, % 0.53/0.73 ! [A,B] : % 0.53/0.73 ( ( A = B % 0.53/0.73 & cowlNothing(A) ) % 0.53/0.73 => cowlNothing(B) ) ). % 0.53/0.73 % 0.53/0.73 fof(cowlThing_substitution_1,axiom, % 0.53/0.73 ! [A,B] : % 0.53/0.73 ( ( A = B % 0.53/0.73 & cowlThing(A) ) % 0.53/0.73 => cowlThing(B) ) ). % 0.53/0.73 % 0.53/0.73 fof(cp1_substitution_1,axiom, % 0.53/0.73 ! [A,B] : % 0.53/0.73 ( ( A = B % 0.53/0.73 & cp1(A) ) % 0.53/0.73 => cp1(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(cp2_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & cp2(A) ) % 0.53/0.74 => cp2(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(cp3_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & cp3(A) ) % 0.53/0.74 => cp3(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(cp4_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & cp4(A) ) % 0.53/0.74 => cp4(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(cp5_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & cp5(A) ) % 0.53/0.74 => cp5(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(rinvR_substitution_1,axiom, % 0.53/0.74 ! [A,B,C] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & rinvR(A,C) ) % 0.53/0.74 => rinvR(B,C) ) ). % 0.53/0.74 % 0.53/0.74 fof(rinvR_substitution_2,axiom, % 0.53/0.74 ! [A,B,C] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & rinvR(C,A) ) % 0.53/0.74 => rinvR(C,B) ) ). % 0.53/0.74 % 0.53/0.74 fof(rr_substitution_1,axiom, % 0.53/0.74 ! [A,B,C] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & rr(A,C) ) % 0.53/0.74 => rr(B,C) ) ). % 0.53/0.74 % 0.53/0.74 fof(rr_substitution_2,axiom, % 0.53/0.74 ! [A,B,C] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & rr(C,A) ) % 0.53/0.74 => rr(C,B) ) ). % 0.53/0.74 % 0.53/0.74 fof(xsd_integer_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & xsd_integer(A) ) % 0.53/0.74 => xsd_integer(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(xsd_string_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & xsd_string(A) ) % 0.53/0.74 => xsd_string(B) ) ). % 0.53/0.74 % 0.53/0.74 %----Thing and Nothing % 0.53/0.74 fof(axiom_0,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( cowlThing(X) % 0.53/0.74 & ~ cowlNothing(X) ) ). % 0.53/0.74 % 0.53/0.74 %----String and Integer disjoint % 0.53/0.74 fof(axiom_1,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( xsd_string(X) % 0.53/0.74 <=> ~ xsd_integer(X) ) ). % 0.53/0.74 % 0.53/0.74 %----Equality cUnsatisfiable % 0.53/0.74 fof(axiom_2,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( cUnsatisfiable(X) % 0.53/0.74 <=> ( ? [Y] : % 0.53/0.74 ( rinvR(X,Y) % 0.53/0.74 & ! [Z0,Z1] : % 0.53/0.74 ( ( rr(Y,Z0) % 0.53/0.74 & rr(Y,Z1) ) % 0.53/0.74 => Z0 = Z1 ) % 0.53/0.74 & ? [Z] : % 0.53/0.74 ( rr(Y,Z) % 0.53/0.74 & cp1(Z) ) ) % 0.53/0.74 & cp2(X) ) ) ). % 0.53/0.74 % 0.53/0.74 %----Super cp1 % 0.53/0.74 fof(axiom_3,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( cp1(X) % 0.53/0.74 => ~ ( cp3(X) % 0.53/0.74 | cp2(X) % 0.53/0.74 | cp4(X) % 0.53/0.74 | cp5(X) ) ) ). % 0.53/0.74 % 0.53/0.74 %----Super cp2 % 0.53/0.74 fof(axiom_4,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( cp2(X) % 0.53/0.74 => ~ ( cp3(X) % 0.53/0.74 | cp4(X) % 0.53/0.74 | cp5(X) ) ) ). % 0.53/0.74 % 0.53/0.74 %----Super cp3 % 0.53/0.74 fof(axiom_5,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( cp3(X) % 0.53/0.74 => ~ ( cp4(X) % 0.53/0.74 | cp5(X) ) ) ). % 0.53/0.74 % 0.53/0.74 %----Super cp4 % 0.53/0.74 fof(axiom_6,axiom, % 0.53/0.74 ! [X] : % 0.53/0.74 ( cp4(X) % 0.53/0.74 => ~ cp5(X) ) ). % 0.53/0.74 % 0.53/0.74 %----Inverse: rinvR % 0.53/0.74 fof(axiom_7,axiom, % 0.53/0.74 ! [X,Y] : % 0.53/0.74 ( rinvR(X,Y) % 0.53/0.74 <=> rr(Y,X) ) ). % 0.53/0.74 % 0.53/0.74 %----i2003_11_14_17_18_50190 % 0.53/0.74 fof(axiom_8,axiom, % 0.53/0.74 cUnsatisfiable(i2003_11_14_17_18_50190) ). % 0.53/0.74 % 0.53/0.74 %------------------------------------------------------------------------------ % 0.53/0.74 %------------------------------------------- % 0.53/0.74 % Proof found % 0.53/0.74 % SZS status Theorem for theBenchmark % 0.53/0.74 % SZS output start Proof % 0.53/0.74 %ClaNum:46(EqnAxiom:22) % 0.53/0.74 %VarNum:81(SingletonVarNum:33) % 0.53/0.74 %MaxLitNum:6 % 0.53/0.74 %MaxfuncDepth:1 % 0.53/0.74 %SharedTerms:2 % 0.53/0.74 [23]P1(a1) % 0.53/0.74 [24]~P2(x241) % 0.53/0.74 [25]P11(x251)+P3(x251) % 0.53/0.74 [26]~P1(x261)+P4(x261) % 0.53/0.74 [27]~P4(x271)+~P5(x271) % 0.53/0.74 [28]~P6(x281)+~P5(x281) % 0.53/0.74 [29]~P7(x291)+~P5(x291) % 0.53/0.74 [30]~P8(x301)+~P5(x301) % 0.53/0.74 [31]~P6(x311)+~P4(x311) % 0.53/0.74 [32]~P7(x321)+~P4(x321) % 0.53/0.74 [33]~P8(x331)+~P4(x331) % 0.53/0.74 [34]~P7(x341)+~P6(x341) % 0.53/0.74 [35]~P8(x351)+~P6(x351) % 0.53/0.74 [36]~P8(x361)+~P7(x361) % 0.53/0.74 [37]~P11(x371)+~P3(x371) % 0.53/0.74 [38]~P1(x381)+P5(f2(x381)) % 0.53/0.74 [39]~P1(x391)+P9(x391,f3(x391)) % 0.53/0.74 [40]~P1(x401)+P10(f3(x401),f2(x401)) % 0.53/0.74 [41]~P10(x412,x411)+P9(x411,x412) % 0.53/0.74 [42]~P9(x422,x421)+P10(x421,x422) % 0.53/0.74 [43]E(x431,x432)+~P1(x433)+~P10(f3(x433),x432)+~P10(f3(x433),x431) % 0.53/0.74 [44]~P4(x441)+~P9(x441,x442)+~P10(x442,x443)+P1(x441)+~P5(x443)+P10(x442,f4(x441,x442)) % 0.53/0.74 [45]~P4(x451)+~P9(x451,x452)+~P10(x452,x453)+P1(x451)+~P5(x453)+P10(x452,f5(x451,x452)) % 0.53/0.74 [46]~P4(x461)+~P9(x461,x462)+~P10(x462,x463)+P1(x461)+~P5(x463)+~E(f5(x461,x462),f4(x461,x462)) % 0.53/0.74 %EqnAxiom % 0.53/0.74 [1]E(x11,x11) % 0.53/0.74 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.74 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.53/0.74 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.53/0.74 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) % 0.53/0.74 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) % 0.53/0.74 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83)) % 0.53/0.74 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92)) % 0.53/0.74 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 0.53/0.74 [11]~P2(x111)+P2(x112)+~E(x111,x112) % 0.53/0.74 [12]~P3(x121)+P3(x122)+~E(x121,x122) % 0.53/0.74 [13]~P11(x131)+P11(x132)+~E(x131,x132) % 0.53/0.74 [14]~P4(x141)+P4(x142)+~E(x141,x142) % 0.53/0.74 [15]P10(x152,x153)+~E(x151,x152)+~P10(x151,x153) % 0.53/0.74 [16]P10(x163,x162)+~E(x161,x162)+~P10(x163,x161) % 0.53/0.74 [17]~P5(x171)+P5(x172)+~E(x171,x172) % 0.53/0.74 [18]P9(x182,x183)+~E(x181,x182)+~P9(x181,x183) % 0.53/0.74 [19]P9(x193,x192)+~E(x191,x192)+~P9(x193,x191) % 0.53/0.74 [20]~P7(x201)+P7(x202)+~E(x201,x202) % 0.53/0.74 [21]~P6(x211)+P6(x212)+~E(x211,x212) % 0.53/0.74 [22]~P8(x221)+P8(x222)+~E(x221,x222) % 0.53/0.74 % 0.53/0.74 %------------------------------------------- % 0.53/0.74 cnf(48,plain, % 0.53/0.74 (~P5(a1)), % 0.53/0.74 inference(scs_inference,[],[23,26,27])). % 0.53/0.74 cnf(63,plain, % 0.53/0.74 (~E(a1,x631)+P9(x631,f3(x631))), % 0.53/0.74 inference(scs_inference,[],[23,39,10])). % 0.53/0.74 cnf(64,plain, % 0.53/0.74 (P9(a1,f3(a1))), % 0.53/0.74 inference(equality_inference,[],[63])). % 0.53/0.74 cnf(70,plain, % 0.53/0.74 (~E(a1,x701)+P10(f3(x701),f2(x701))), % 0.53/0.74 inference(scs_inference,[],[23,40,10])). % 0.53/0.74 cnf(71,plain, % 0.53/0.74 (P10(f3(a1),f2(a1))), % 0.53/0.74 inference(equality_inference,[],[70])). % 0.53/0.74 cnf(92,plain, % 0.53/0.74 (~E(a1,x921)+~P5(x921)), % 0.53/0.74 inference(scs_inference,[],[48,17,2])). % 0.53/0.74 cnf(96,plain, % 0.53/0.74 (~E(x961,x962)+E(x963,x961)+~E(x963,x962)), % 0.53/0.74 inference(scs_inference,[],[3,2])). % 0.53/0.74 cnf(97,plain, % 0.53/0.74 (~E(x971,x972)+~E(x973,x971)+E(x972,x973)), % 0.53/0.74 inference(scs_inference,[],[96,2])). % 0.53/0.74 cnf(153,plain, % 0.53/0.74 (~E(a1,f2(a1))), % 0.53/0.74 inference(scs_inference,[],[23,38,92])). % 0.53/0.74 cnf(154,plain, % 0.53/0.74 (~E(x1541,a1)+~E(f2(a1),x1541)), % 0.53/0.74 inference(scs_inference,[],[153,97])). % 0.53/0.74 cnf(155,plain, % 0.53/0.74 (~E(f2(a1),a1)), % 0.53/0.74 inference(scs_inference,[],[71,23,154,43])). % 0.53/0.74 cnf(156,plain, % 0.53/0.74 (~E(x1561,f2(a1))+~E(a1,x1561)), % 0.53/0.74 inference(scs_inference,[],[155,97])). % 0.53/0.74 cnf(159,plain, % 0.53/0.74 (~E(x1591,a1)+~E(x1591,f2(a1))), % 0.53/0.74 inference(scs_inference,[],[156,2])). % 0.53/0.74 cnf(160,plain, % 0.53/0.74 (~P10(f3(a1),a1)), % 0.53/0.74 inference(scs_inference,[],[71,23,159,43])). % 0.53/0.74 cnf(161,plain, % 0.53/0.74 ($false), % 0.53/0.74 inference(scs_inference,[],[64,160,42]), % 0.53/0.74 ['proof']). % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % Total time :0.130000s %------------------------------------------------------------------------------