%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS122+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 : n018.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 10:08:34 EDT 2024 % Result : Unsatisfiable 0.52s 0.67s % Output : CNFRefutation 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS122+1 : TPTP v8.2.0. Released v3.1.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n018.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 13:15:53 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 0.52/0.66 %------------------------------------------- % 0.52/0.66 % File :CSE---1.7 % 0.52/0.66 % Problem :theBenchmark % 0.52/0.66 % Transform :cnf % 0.52/0.66 % Format :tptp:raw % 0.52/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.52/0.66 % 0.52/0.66 % Result :Theorem 0.050000s % 0.52/0.66 % Output :CNFRefutation 0.050000s % 0.52/0.66 %------------------------------------------- % 0.52/0.66 %------------------------------------------------------------------------------ % 0.52/0.66 % File : KRS122+1 : TPTP v8.2.0. Released v3.1.0. % 0.52/0.66 % Domain : Knowledge Representation (Semantic Web) % 0.52/0.66 % Problem : DL Test: t7f.3 % 0.52/0.66 % Version : Especial. % 0.52/0.66 % English : % 0.52/0.66 % 0.52/0.66 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.52/0.66 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.52/0.66 % Source : [Bec03] % 0.52/0.66 % Names : inconsistent_description-logic-Manifest633 [Bec03] % 0.52/0.66 % 0.52/0.66 % Status : Unsatisfiable % 0.52/0.66 % Rating : 0.00 v3.1.0 % 0.52/0.66 % Syntax : Number of formulae : 31 ( 1 unt; 0 def) % 0.52/0.66 % Number of atoms : 86 ( 20 equ) % 0.52/0.67 % Maximal formula atoms : 4 ( 2 avg) % 0.52/0.67 % Number of connectives : 58 ( 3 ~; 0 |; 25 &) % 0.52/0.67 % ( 8 <=>; 22 =>; 0 <=; 0 <~>) % 0.52/0.67 % Maximal formula depth : 6 ( 5 avg) % 0.52/0.67 % Maximal term depth : 1 ( 1 avg) % 0.52/0.67 % Number of predicates : 15 ( 14 usr; 0 prp; 1-2 aty) % 0.52/0.67 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.52/0.67 % Number of variables : 70 ( 66 !; 4 ?) % 0.52/0.67 % SPC : FOF_UNS_RFO_SEQ % 0.52/0.67 % 0.52/0.67 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.52/0.67 % datatypes, so this problem may not be perfect. At least it's % 0.52/0.67 % still representative of the type of reasoning required for OWL. % 0.52/0.67 %------------------------------------------------------------------------------ % 0.52/0.67 fof(cUnsatisfiable_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & cUnsatisfiable(A) ) % 0.52/0.67 => cUnsatisfiable(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(ca_Ax2_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & ca_Ax2(A) ) % 0.52/0.67 => ca_Ax2(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(ca_Vx3_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & ca_Vx3(A) ) % 0.52/0.67 => ca_Vx3(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(cowlNothing_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & cowlNothing(A) ) % 0.52/0.67 => cowlNothing(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(cowlThing_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & cowlThing(A) ) % 0.52/0.67 => cowlThing(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(cp1_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & cp1(A) ) % 0.52/0.67 => cp1(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(cp1xcomp_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & cp1xcomp(A) ) % 0.52/0.67 => cp1xcomp(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(ra_Px1_substitution_1,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & ra_Px1(A,C) ) % 0.52/0.67 => ra_Px1(B,C) ) ). % 0.52/0.67 % 0.52/0.67 fof(ra_Px1_substitution_2,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & ra_Px1(C,A) ) % 0.52/0.67 => ra_Px1(C,B) ) ). % 0.52/0.67 % 0.52/0.67 fof(rf_substitution_1,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rf(A,C) ) % 0.52/0.67 => rf(B,C) ) ). % 0.52/0.67 % 0.52/0.67 fof(rf_substitution_2,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rf(C,A) ) % 0.52/0.67 => rf(C,B) ) ). % 0.52/0.67 % 0.52/0.67 fof(rinvF_substitution_1,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rinvF(A,C) ) % 0.52/0.67 => rinvF(B,C) ) ). % 0.52/0.67 % 0.52/0.67 fof(rinvF_substitution_2,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rinvF(C,A) ) % 0.52/0.67 => rinvF(C,B) ) ). % 0.52/0.67 % 0.52/0.67 fof(rinvR_substitution_1,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rinvR(A,C) ) % 0.52/0.67 => rinvR(B,C) ) ). % 0.52/0.67 % 0.52/0.67 fof(rinvR_substitution_2,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rinvR(C,A) ) % 0.52/0.67 => rinvR(C,B) ) ). % 0.52/0.67 % 0.52/0.67 fof(rr_substitution_1,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rr(A,C) ) % 0.52/0.67 => rr(B,C) ) ). % 0.52/0.67 % 0.52/0.67 fof(rr_substitution_2,axiom, % 0.52/0.67 ! [A,B,C] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & rr(C,A) ) % 0.52/0.67 => rr(C,B) ) ). % 0.52/0.67 % 0.52/0.67 fof(xsd_integer_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & xsd_integer(A) ) % 0.52/0.67 => xsd_integer(B) ) ). % 0.52/0.67 % 0.52/0.67 fof(xsd_string_substitution_1,axiom, % 0.52/0.67 ! [A,B] : % 0.52/0.67 ( ( A = B % 0.52/0.67 & xsd_string(A) ) % 0.52/0.67 => xsd_string(B) ) ). % 0.52/0.67 % 0.52/0.67 %----Thing and Nothing % 0.52/0.67 fof(axiom_0,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( cowlThing(X) % 0.52/0.67 & ~ cowlNothing(X) ) ). % 0.52/0.67 % 0.52/0.67 %----String and Integer disjoint % 0.52/0.67 fof(axiom_1,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( xsd_string(X) % 0.52/0.67 <=> ~ xsd_integer(X) ) ). % 0.52/0.67 % 0.52/0.67 %----Equality cUnsatisfiable % 0.52/0.67 fof(axiom_2,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( cUnsatisfiable(X) % 0.52/0.67 <=> ? [Y] : % 0.52/0.67 ( rf(X,Y) % 0.52/0.67 & ca_Ax2(Y) ) ) ). % 0.52/0.67 % 0.52/0.67 %----Equality cp1 % 0.52/0.67 fof(axiom_3,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( cp1(X) % 0.52/0.67 <=> ~ ? [Y] : ra_Px1(X,Y) ) ). % 0.52/0.67 % 0.52/0.67 %----Equality cp1xcomp % 0.52/0.67 fof(axiom_4,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( cp1xcomp(X) % 0.52/0.67 <=> ? [Y0] : ra_Px1(X,Y0) ) ). % 0.52/0.67 % 0.52/0.67 %----Equality ca_Ax2 % 0.52/0.67 fof(axiom_5,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( ca_Ax2(X) % 0.52/0.67 <=> ( cp1(X) % 0.52/0.67 & ! [Y] : % 0.52/0.67 ( rinvF(X,Y) % 0.52/0.67 => ca_Vx3(Y) ) ) ) ). % 0.52/0.67 % 0.52/0.67 %----Equality ca_Vx3 % 0.52/0.67 fof(axiom_6,axiom, % 0.52/0.67 ! [X] : % 0.52/0.67 ( ca_Vx3(X) % 0.52/0.67 <=> ? [Y] : % 0.52/0.67 ( rf(X,Y) % 0.52/0.67 & cp1xcomp(Y) ) ) ). % 0.52/0.67 % 0.52/0.67 %----Functional: rf % 0.52/0.67 fof(axiom_7,axiom, % 0.52/0.67 ! [X,Y,Z] : % 0.52/0.67 ( ( rf(X,Y) % 0.52/0.67 & rf(X,Z) ) % 0.52/0.67 => Y = Z ) ). % 0.52/0.67 % 0.52/0.67 %----Inverse: rinvF % 0.52/0.67 fof(axiom_8,axiom, % 0.52/0.67 ! [X,Y] : % 0.52/0.67 ( rinvF(X,Y) % 0.52/0.67 <=> rf(Y,X) ) ). % 0.52/0.67 % 0.52/0.67 %----Inverse: rinvR % 0.52/0.67 fof(axiom_9,axiom, % 0.52/0.67 ! [X,Y] : % 0.52/0.67 ( rinvR(X,Y) % 0.52/0.67 <=> rr(Y,X) ) ). % 0.52/0.67 % 0.52/0.67 %----Transitive: rr % 0.52/0.67 fof(axiom_10,axiom, % 0.52/0.67 ! [X,Y,Z] : % 0.52/0.67 ( ( rr(X,Y) % 0.52/0.67 & rr(Y,Z) ) % 0.52/0.67 => rr(X,Z) ) ). % 0.52/0.67 % 0.52/0.67 %----i2003_11_14_17_21_55116 % 0.52/0.67 fof(axiom_11,axiom, % 0.52/0.67 cUnsatisfiable(i2003_11_14_17_21_55116) ). % 0.52/0.67 % 0.52/0.67 %------------------------------------------------------------------------------ % 0.52/0.67 %------------------------------------------- % 0.52/0.67 % Proof found % 0.52/0.67 % SZS status Theorem for theBenchmark % 0.52/0.67 % SZS output start Proof % 0.52/0.67 %ClaNum:50(EqnAxiom:26) % 0.52/0.67 %VarNum:76(SingletonVarNum:36) % 0.52/0.67 %MaxLitNum:3 % 0.52/0.67 %MaxfuncDepth:1 % 0.52/0.67 %SharedTerms:2 % 0.52/0.67 [27]P1(a1) % 0.52/0.67 [28]~P2(x281) % 0.52/0.67 [29]P13(x291)+P5(x291) % 0.52/0.67 [30]~P3(x301)+P6(x301) % 0.52/0.67 [31]~P13(x311)+~P5(x311) % 0.52/0.67 [32]~P1(x321)+P3(f2(x321)) % 0.52/0.67 [33]~P4(x331)+P7(f3(x331)) % 0.52/0.67 [34]P6(x341)+P8(x341,f4(x341)) % 0.52/0.67 [36]~P7(x361)+P8(x361,f5(x361)) % 0.52/0.67 [37]~P1(x371)+P9(x371,f2(x371)) % 0.52/0.67 [38]~P4(x381)+P9(x381,f3(x381)) % 0.52/0.67 [35]P7(x351)+~P8(x351,x352) % 0.52/0.67 [40]~P6(x401)+~P8(x401,x402) % 0.52/0.67 [45]~P10(x452,x451)+P9(x451,x452) % 0.52/0.67 [46]~P9(x462,x461)+P10(x461,x462) % 0.52/0.67 [47]~P12(x472,x471)+P11(x471,x472) % 0.52/0.67 [48]~P11(x482,x481)+P12(x481,x482) % 0.52/0.67 [39]~P6(x391)+P3(x391)+~P4(f6(x391)) % 0.52/0.67 [41]~P6(x411)+P3(x411)+P10(x411,f6(x411)) % 0.52/0.67 [42]~P9(x421,x422)+P1(x421)+~P3(x422) % 0.52/0.67 [43]~P10(x432,x431)+P4(x431)+~P3(x432) % 0.52/0.67 [44]~P9(x441,x442)+P4(x441)+~P7(x442) % 0.52/0.68 [49]~P9(x493,x491)+E(x491,x492)+~P9(x493,x492) % 0.52/0.68 [50]~P12(x501,x503)+P12(x501,x502)+~P12(x503,x502) % 0.52/0.68 %EqnAxiom % 0.52/0.68 [1]E(x11,x11) % 0.52/0.68 [2]E(x22,x21)+~E(x21,x22) % 0.52/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.52/0.68 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.52/0.68 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.52/0.68 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.52/0.68 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.52/0.68 [8]~E(x81,x82)+E(f6(x81),f6(x82)) % 0.52/0.68 [9]~P1(x91)+P1(x92)+~E(x91,x92) % 0.52/0.68 [10]~P2(x101)+P2(x102)+~E(x101,x102) % 0.52/0.68 [11]~P5(x111)+P5(x112)+~E(x111,x112) % 0.52/0.68 [12]~P13(x121)+P13(x122)+~E(x121,x122) % 0.52/0.68 [13]~P6(x131)+P6(x132)+~E(x131,x132) % 0.52/0.68 [14]~P3(x141)+P3(x142)+~E(x141,x142) % 0.52/0.68 [15]P9(x152,x153)+~E(x151,x152)+~P9(x151,x153) % 0.52/0.68 [16]P9(x163,x162)+~E(x161,x162)+~P9(x163,x161) % 0.52/0.68 [17]~P7(x171)+P7(x172)+~E(x171,x172) % 0.52/0.68 [18]~P4(x181)+P4(x182)+~E(x181,x182) % 0.52/0.68 [19]P12(x192,x193)+~E(x191,x192)+~P12(x191,x193) % 0.52/0.68 [20]P12(x203,x202)+~E(x201,x202)+~P12(x203,x201) % 0.52/0.68 [21]P10(x212,x213)+~E(x211,x212)+~P10(x211,x213) % 0.52/0.68 [22]P10(x223,x222)+~E(x221,x222)+~P10(x223,x221) % 0.52/0.68 [23]P8(x232,x233)+~E(x231,x232)+~P8(x231,x233) % 0.52/0.68 [24]P8(x243,x242)+~E(x241,x242)+~P8(x243,x241) % 0.52/0.68 [25]P11(x252,x253)+~E(x251,x252)+~P11(x251,x253) % 0.52/0.68 [26]P11(x263,x262)+~E(x261,x262)+~P11(x263,x261) % 0.52/0.68 % 0.52/0.68 %------------------------------------------- % 0.52/0.68 cnf(52,plain, % 0.52/0.68 (~P3(x521)+~P8(x521,x522)), % 0.52/0.68 inference(scs_inference,[],[30,40])). % 0.52/0.68 cnf(53,plain, % 0.52/0.68 (~E(a1,x531)+P3(f2(x531))), % 0.52/0.68 inference(scs_inference,[],[27,32,9])). % 0.52/0.68 cnf(54,plain, % 0.52/0.68 (P3(f2(a1))), % 0.52/0.68 inference(equality_inference,[],[53])). % 0.52/0.68 cnf(55,plain, % 0.52/0.68 (~P8(f2(a1),x551)), % 0.52/0.68 inference(scs_inference,[],[54,52])). % 0.52/0.68 cnf(59,plain, % 0.52/0.68 (~P10(f2(a1),x591)+P7(f3(x591))), % 0.52/0.68 inference(scs_inference,[],[54,33,43])). % 0.52/0.68 cnf(60,plain, % 0.52/0.68 (~P7(f2(a1))), % 0.52/0.68 inference(scs_inference,[],[55,36])). % 0.52/0.68 cnf(67,plain, % 0.52/0.68 (~P9(x671,f2(a1))+P9(x671,f2(x671))), % 0.52/0.68 inference(scs_inference,[],[54,37,42])). % 0.52/0.68 cnf(68,plain, % 0.52/0.68 (~P10(f2(a1),x681)+P9(x681,f3(x681))), % 0.52/0.68 inference(scs_inference,[],[54,38,43])). % 0.52/0.68 cnf(71,plain, % 0.52/0.68 (~P10(f2(a1),x711)+P8(f3(x711),f5(f3(x711)))), % 0.52/0.68 inference(scs_inference,[],[59,36])). % 0.52/0.68 cnf(78,plain, % 0.52/0.68 (P10(f2(x781),x781)+~P9(x781,f2(a1))), % 0.52/0.68 inference(scs_inference,[],[67,46])). % 0.52/0.68 cnf(79,plain, % 0.52/0.68 (P10(f3(x791),x791)+~P10(f2(a1),x791)), % 0.52/0.68 inference(scs_inference,[],[68,46])). % 0.52/0.68 cnf(80,plain, % 0.52/0.68 (P8(f3(a1),f5(f3(a1)))+~P9(a1,f2(a1))), % 0.52/0.68 inference(scs_inference,[],[78,71])). % 0.52/0.68 cnf(83,plain, % 0.52/0.68 (P7(f3(a1))+~P9(a1,f2(a1))), % 0.52/0.68 inference(scs_inference,[],[80,35])). % 0.52/0.68 cnf(84,plain, % 0.52/0.68 (~E(f3(a1),f2(a1))+~P9(a1,f2(a1))), % 0.52/0.68 inference(scs_inference,[],[60,83,17])). % 0.52/0.68 cnf(85,plain, % 0.52/0.68 (~E(f2(a1),f3(a1))+~P9(a1,f2(a1))), % 0.52/0.68 inference(scs_inference,[],[84,2])). % 0.52/0.68 cnf(86,plain, % 0.52/0.68 (~E(x861,f3(a1))+~E(f2(a1),x861)+~P9(a1,f2(a1))), % 0.52/0.68 inference(scs_inference,[],[85,3])). % 0.52/0.68 cnf(102,plain, % 0.52/0.68 (P9(x1021,f2(a1))+~E(a1,x1021)), % 0.52/0.68 inference(scs_inference,[],[27,15,37])). % 0.52/0.68 cnf(103,plain, % 0.52/0.68 (P9(a1,f2(a1))), % 0.52/0.68 inference(equality_inference,[],[102])). % 0.52/0.68 cnf(108,plain, % 0.52/0.68 (~E(f2(a1),x1081)+~E(x1081,f3(a1))), % 0.52/0.68 inference(scs_inference,[],[103,86])). % 0.52/0.68 cnf(113,plain, % 0.52/0.68 (P9(a1,f3(a1))), % 0.52/0.68 inference(scs_inference,[],[103,78,79,68])). % 0.52/0.68 cnf(129,plain, % 0.52/0.68 ($false), % 0.52/0.68 inference(scs_inference,[],[113,103,108,49]), % 0.52/0.68 ['proof']). % 0.52/0.68 % SZS output end Proof % 0.52/0.68 % Total time :0.050000s %------------------------------------------------------------------------------