%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS113+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 : n010.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 10:08:33 EDT 2024 % Result : Unsatisfiable 0.59s 0.67s % Output : CNFRefutation 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS113+1 : TPTP v8.2.0. Released v3.1.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n010.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 13:17:24 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.59/0.66 %------------------------------------------- % 0.59/0.66 % File :CSE---1.7 % 0.59/0.66 % Problem :theBenchmark % 0.59/0.66 % Transform :cnf % 0.59/0.66 % Format :tptp:raw % 0.59/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.59/0.66 % 0.59/0.66 % Result :Theorem 0.060000s % 0.59/0.66 % Output :CNFRefutation 0.060000s % 0.59/0.66 %------------------------------------------- % 0.59/0.66 %------------------------------------------------------------------------------ % 0.59/0.66 % File : KRS113+1 : TPTP v8.2.0. Released v3.1.0. % 0.59/0.66 % Domain : Knowledge Representation (Semantic Web) % 0.59/0.66 % Problem : DL Test: t11.1 % 0.59/0.66 % Version : Especial. % 0.59/0.66 % English : % 0.59/0.66 % 0.59/0.66 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.59/0.67 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.59/0.67 % Source : [Bec03] % 0.59/0.67 % Names : inconsistent_description-logic-Manifest614 [Bec03] % 0.59/0.67 % 0.59/0.67 % Status : Unsatisfiable % 0.59/0.67 % Rating : 0.00 v3.1.0 % 0.59/0.67 % Syntax : Number of formulae : 25 ( 1 unt; 0 def) % 0.59/0.67 % Number of atoms : 73 ( 17 equ) % 0.59/0.67 % Maximal formula atoms : 9 ( 2 avg) % 0.59/0.67 % Number of connectives : 51 ( 3 ~; 0 |; 23 &) % 0.59/0.67 % ( 6 <=>; 19 =>; 0 <=; 0 <~>) % 0.59/0.67 % Maximal formula depth : 8 ( 5 avg) % 0.59/0.67 % Maximal term depth : 1 ( 1 avg) % 0.59/0.67 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty) % 0.59/0.67 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.59/0.67 % Number of variables : 57 ( 53 !; 4 ?) % 0.59/0.67 % SPC : FOF_UNS_RFO_SEQ % 0.59/0.67 % 0.59/0.67 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.59/0.67 % datatypes, so this problem may not be perfect. At least it's % 0.59/0.67 % still representative of the type of reasoning required for OWL. % 0.59/0.67 %------------------------------------------------------------------------------ % 0.59/0.67 fof(cUnsatisfiable_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & cUnsatisfiable(A) ) % 0.59/0.67 => cUnsatisfiable(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(ca_Vx2_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & ca_Vx2(A) ) % 0.59/0.67 => ca_Vx2(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(cowlNothing_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & cowlNothing(A) ) % 0.59/0.67 => cowlNothing(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(cowlThing_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & cowlThing(A) ) % 0.59/0.67 => cowlThing(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(cp_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & cp(A) ) % 0.59/0.67 => cp(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(cpxcomp_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & cpxcomp(A) ) % 0.59/0.67 => cpxcomp(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(ra_Px1_substitution_1,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & ra_Px1(A,C) ) % 0.59/0.67 => ra_Px1(B,C) ) ). % 0.59/0.67 % 0.59/0.67 fof(ra_Px1_substitution_2,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & ra_Px1(C,A) ) % 0.59/0.67 => ra_Px1(C,B) ) ). % 0.59/0.67 % 0.59/0.67 fof(rinvS_substitution_1,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & rinvS(A,C) ) % 0.59/0.67 => rinvS(B,C) ) ). % 0.59/0.67 % 0.59/0.67 fof(rinvS_substitution_2,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & rinvS(C,A) ) % 0.59/0.67 => rinvS(C,B) ) ). % 0.59/0.67 % 0.59/0.67 fof(rr_substitution_1,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & rr(A,C) ) % 0.59/0.67 => rr(B,C) ) ). % 0.59/0.67 % 0.59/0.67 fof(rr_substitution_2,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & rr(C,A) ) % 0.59/0.67 => rr(C,B) ) ). % 0.59/0.67 % 0.59/0.67 fof(rs_substitution_1,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & rs(A,C) ) % 0.59/0.67 => rs(B,C) ) ). % 0.59/0.67 % 0.59/0.67 fof(rs_substitution_2,axiom, % 0.59/0.67 ! [A,B,C] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & rs(C,A) ) % 0.59/0.67 => rs(C,B) ) ). % 0.59/0.67 % 0.59/0.67 fof(xsd_integer_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & xsd_integer(A) ) % 0.59/0.67 => xsd_integer(B) ) ). % 0.59/0.67 % 0.59/0.67 fof(xsd_string_substitution_1,axiom, % 0.59/0.67 ! [A,B] : % 0.59/0.67 ( ( A = B % 0.59/0.67 & xsd_string(A) ) % 0.59/0.67 => xsd_string(B) ) ). % 0.59/0.67 % 0.59/0.67 %----Thing and Nothing % 0.59/0.67 fof(axiom_0,axiom, % 0.59/0.67 ! [X] : % 0.59/0.67 ( cowlThing(X) % 0.59/0.67 & ~ cowlNothing(X) ) ). % 0.59/0.67 % 0.59/0.67 %----String and Integer disjoint % 0.59/0.67 fof(axiom_1,axiom, % 0.59/0.67 ! [X] : % 0.59/0.67 ( xsd_string(X) % 0.59/0.67 <=> ~ xsd_integer(X) ) ). % 0.59/0.67 % 0.59/0.67 %----Equality cUnsatisfiable % 0.59/0.67 fof(axiom_2,axiom, % 0.59/0.67 ! [X] : % 0.59/0.67 ( cUnsatisfiable(X) % 0.59/0.67 <=> ( ! [Y0,Y1] : % 0.59/0.67 ( ( rr(X,Y0) % 0.59/0.67 & rr(X,Y1) ) % 0.59/0.67 => Y0 = Y1 ) % 0.59/0.67 & ? [Y] : % 0.59/0.67 ( rr(X,Y) % 0.59/0.67 & ca_Vx2(Y) ) % 0.59/0.67 & ? [Y] : % 0.59/0.67 ( rs(X,Y) % 0.59/0.67 & cp(Y) ) % 0.59/0.67 & cpxcomp(X) ) ) ). % 0.59/0.67 % 0.59/0.67 %----Equality cp % 0.59/0.67 fof(axiom_3,axiom, % 0.59/0.67 ! [X] : % 0.59/0.67 ( cp(X) % 0.59/0.67 <=> ~ ? [Y] : ra_Px1(X,Y) ) ). % 0.59/0.67 % 0.59/0.67 %----Equality cpxcomp % 0.59/0.67 fof(axiom_4,axiom, % 0.59/0.67 ! [X] : % 0.59/0.67 ( cpxcomp(X) % 0.59/0.67 <=> ? [Y0] : ra_Px1(X,Y0) ) ). % 0.59/0.67 % 0.59/0.67 %----Equality ca_Vx2 % 0.59/0.67 fof(axiom_5,axiom, % 0.59/0.67 ! [X] : % 0.59/0.67 ( ca_Vx2(X) % 0.59/0.67 <=> ! [Y] : % 0.59/0.67 ( rinvS(X,Y) % 0.59/0.67 => cp(Y) ) ) ). % 0.59/0.67 % 0.59/0.67 %----Inverse: rinvS % 0.59/0.67 fof(axiom_6,axiom, % 0.59/0.67 ! [X,Y] : % 0.59/0.67 ( rinvS(X,Y) % 0.59/0.67 <=> rs(Y,X) ) ). % 0.59/0.67 % 0.59/0.67 %----i2003_11_14_17_21_22376 % 0.59/0.67 fof(axiom_7,axiom, % 0.59/0.67 cUnsatisfiable(i2003_11_14_17_21_22376) ). % 0.59/0.67 % 0.59/0.67 fof(axiom_8,axiom, % 0.59/0.67 ! [X,Y] : % 0.59/0.67 ( rs(X,Y) % 0.59/0.67 => rr(X,Y) ) ). % 0.59/0.67 % 0.59/0.67 %------------------------------------------------------------------------------ % 0.59/0.67 %------------------------------------------- % 0.59/0.67 % Proof found % 0.59/0.67 % SZS status Theorem for theBenchmark % 0.59/0.67 % SZS output start Proof % 0.59/0.67 %ClaNum:48(EqnAxiom:25) % 0.59/0.67 %VarNum:87(SingletonVarNum:36) % 0.59/0.67 %MaxLitNum:7 % 0.59/0.67 %MaxfuncDepth:1 % 0.59/0.67 %SharedTerms:2 % 0.59/0.67 [26]P1(a1) % 0.59/0.67 [27]~P2(x271) % 0.59/0.67 [28]P11(x281)+P4(x281) % 0.59/0.67 [29]~P1(x291)+P5(x291) % 0.59/0.67 [30]~P11(x301)+~P4(x301) % 0.59/0.67 [31]~P1(x311)+P3(f2(x311)) % 0.59/0.67 [32]~P1(x321)+P6(f3(x321)) % 0.59/0.67 [33]P3(x331)+~P6(f4(x331)) % 0.59/0.67 [34]P3(x341)+P7(x341,f4(x341)) % 0.59/0.67 [35]P6(x351)+P8(x351,f5(x351)) % 0.59/0.67 [37]~P5(x371)+P8(x371,f8(x371)) % 0.59/0.67 [38]~P1(x381)+P9(x381,f2(x381)) % 0.59/0.67 [39]~P1(x391)+P10(x391,f3(x391)) % 0.59/0.67 [36]P5(x361)+~P8(x361,x362) % 0.59/0.67 [40]~P6(x401)+~P8(x401,x402) % 0.59/0.67 [42]~P10(x422,x421)+P7(x421,x422) % 0.59/0.67 [43]~P10(x431,x432)+P9(x431,x432) % 0.59/0.67 [44]~P7(x442,x441)+P10(x441,x442) % 0.59/0.67 [41]~P7(x412,x411)+P6(x411)+~P3(x412) % 0.59/0.67 [45]~P9(x453,x452)+~P9(x453,x451)+E(x451,x452)+~P1(x453) % 0.59/0.67 [46]~P5(x461)+~P9(x461,x462)+~P10(x461,x463)+P1(x461)+~P3(x462)+~P6(x463)+~E(f6(x461),f7(x461)) % 0.59/0.67 [47]~P5(x471)+~P9(x471,x472)+~P10(x471,x473)+P1(x471)+~P3(x472)+~P6(x473)+P9(x471,f7(x471)) % 0.59/0.67 [48]~P5(x481)+~P9(x481,x482)+~P10(x481,x483)+P1(x481)+~P3(x482)+~P6(x483)+P9(x481,f6(x481)) % 0.59/0.67 %EqnAxiom % 0.59/0.67 [1]E(x11,x11) % 0.59/0.67 [2]E(x22,x21)+~E(x21,x22) % 0.59/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.59/0.67 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.59/0.67 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.59/0.67 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.59/0.67 [7]~E(x71,x72)+E(f7(x71),f7(x72)) % 0.59/0.67 [8]~E(x81,x82)+E(f5(x81),f5(x82)) % 0.59/0.67 [9]~E(x91,x92)+E(f8(x91),f8(x92)) % 0.59/0.67 [10]~E(x101,x102)+E(f6(x101),f6(x102)) % 0.59/0.67 [11]~P1(x111)+P1(x112)+~E(x111,x112) % 0.59/0.67 [12]~P2(x121)+P2(x122)+~E(x121,x122) % 0.59/0.67 [13]~P4(x131)+P4(x132)+~E(x131,x132) % 0.59/0.67 [14]~P11(x141)+P11(x142)+~E(x141,x142) % 0.59/0.67 [15]~P5(x151)+P5(x152)+~E(x151,x152) % 0.59/0.67 [16]P10(x162,x163)+~E(x161,x162)+~P10(x161,x163) % 0.59/0.67 [17]P10(x173,x172)+~E(x171,x172)+~P10(x173,x171) % 0.59/0.67 [18]~P3(x181)+P3(x182)+~E(x181,x182) % 0.59/0.67 [19]~P6(x191)+P6(x192)+~E(x191,x192) % 0.59/0.67 [20]P9(x202,x203)+~E(x201,x202)+~P9(x201,x203) % 0.59/0.67 [21]P9(x213,x212)+~E(x211,x212)+~P9(x213,x211) % 0.59/0.67 [22]P8(x222,x223)+~E(x221,x222)+~P8(x221,x223) % 0.59/0.67 [23]P8(x233,x232)+~E(x231,x232)+~P8(x233,x231) % 0.59/0.67 [24]P7(x242,x243)+~E(x241,x242)+~P7(x241,x243) % 0.59/0.67 [25]P7(x253,x252)+~E(x251,x252)+~P7(x253,x251) % 0.59/0.67 % 0.59/0.67 %------------------------------------------- % 0.59/0.67 cnf(50,plain, % 0.59/0.67 (P8(a1,f8(a1))), % 0.59/0.67 inference(scs_inference,[],[26,29,37])). % 0.59/0.67 cnf(55,plain, % 0.59/0.67 (~E(a1,x551)+P3(f2(x551))), % 0.59/0.67 inference(scs_inference,[],[26,31,11])). % 0.59/0.67 cnf(56,plain, % 0.59/0.67 (P3(f2(a1))), % 0.59/0.67 inference(equality_inference,[],[55])). % 0.59/0.67 cnf(82,plain, % 0.59/0.67 (~E(a1,x821)+P9(x821,f2(x821))), % 0.59/0.67 inference(scs_inference,[],[26,38,11])). % 0.59/0.67 cnf(83,plain, % 0.59/0.67 (P9(a1,f2(a1))), % 0.59/0.67 inference(equality_inference,[],[82])). % 0.59/0.67 cnf(85,plain, % 0.59/0.67 (P9(a1,x851)+~E(f2(a1),x851)), % 0.59/0.67 inference(scs_inference,[],[83,20,21])). % 0.59/0.67 cnf(90,plain, % 0.59/0.67 (~E(a1,x901)+P10(x901,f3(x901))), % 0.59/0.67 inference(scs_inference,[],[26,39,11])). % 0.59/0.67 cnf(91,plain, % 0.59/0.67 (P10(a1,f3(a1))), % 0.59/0.67 inference(equality_inference,[],[90])). % 0.59/0.67 cnf(94,plain, % 0.59/0.67 (P10(a1,x941)+~E(f3(a1),x941)), % 0.59/0.67 inference(scs_inference,[],[91,16,17])). % 0.59/0.67 cnf(121,plain, % 0.59/0.67 (~P7(f2(a1),a1)), % 0.59/0.67 inference(scs_inference,[],[56,50,41,40])). % 0.59/0.67 cnf(128,plain, % 0.59/0.67 ($false), % 0.59/0.67 inference(scs_inference,[],[26,83,91,121,42,94,45,85,43]), % 0.59/0.67 ['proof']). % 0.59/0.67 % SZS output end Proof % 0.59/0.67 % Total time :0.060000s %------------------------------------------------------------------------------