%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS106+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 : n025.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 10:08:31 EDT 2024 % Result : Unsatisfiable 0.53s 0.75s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS106+1 : TPTP v8.2.0. Released v3.1.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n025.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 13:46:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.53/0.57 start to proof:theBenchmark % 0.53/0.74 %------------------------------------------- % 0.53/0.74 % File :CSE---1.7 % 0.53/0.74 % Problem :theBenchmark % 0.53/0.74 % Transform :cnf % 0.53/0.74 % Format :tptp:raw % 0.53/0.74 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.74 % 0.53/0.74 % Result :Theorem 0.110000s % 0.53/0.74 % Output :CNFRefutation 0.110000s % 0.53/0.74 %------------------------------------------- % 0.53/0.74 %------------------------------------------------------------------------------ % 0.53/0.74 % File : KRS106+1 : TPTP v8.2.0. Released v3.1.0. % 0.53/0.74 % Domain : Knowledge Representation (Semantic Web) % 0.53/0.74 % Problem : DL Test: fact3.1 % 0.53/0.74 % Version : Especial. % 0.53/0.74 % English : % 0.53/0.74 % 0.53/0.74 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.53/0.74 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.53/0.74 % Source : [Bec03] % 0.53/0.74 % Names : inconsistent_description-logic-Manifest603 [Bec03] % 0.53/0.74 % 0.53/0.74 % Status : Unsatisfiable % 0.53/0.74 % Rating : 0.00 v3.1.0 % 0.53/0.74 % Syntax : Number of formulae : 27 ( 1 unt; 0 def) % 0.53/0.74 % Number of atoms : 77 ( 19 equ) % 0.53/0.74 % Maximal formula atoms : 7 ( 2 avg) % 0.53/0.74 % Number of connectives : 53 ( 3 ~; 0 |; 25 &) % 0.53/0.74 % ( 4 <=>; 21 =>; 0 <=; 0 <~>) % 0.53/0.74 % Maximal formula depth : 7 ( 5 avg) % 0.53/0.74 % Maximal term depth : 1 ( 1 avg) % 0.53/0.74 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty) % 0.53/0.74 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.53/0.74 % Number of variables : 63 ( 58 !; 5 ?) % 0.53/0.74 % SPC : FOF_UNS_RFO_SEQ % 0.53/0.74 % 0.53/0.74 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.53/0.74 % datatypes, so this problem may not be perfect. At least it's % 0.53/0.74 % still representative of the type of reasoning required for OWL. % 0.53/0.74 %------------------------------------------------------------------------------ % 0.53/0.74 fof(cUnsatisfiable_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.74 & cUnsatisfiable(A) ) % 0.53/0.74 => cUnsatisfiable(B) ) ). % 0.53/0.74 % 0.53/0.74 fof(cowlNothing_substitution_1,axiom, % 0.53/0.74 ! [A,B] : % 0.53/0.74 ( ( A = B % 0.53/0.75 & cowlNothing(A) ) % 0.53/0.75 => cowlNothing(B) ) ). % 0.53/0.75 % 0.53/0.75 fof(cowlThing_substitution_1,axiom, % 0.53/0.75 ! [A,B] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & cowlThing(A) ) % 0.53/0.75 => cowlThing(B) ) ). % 0.53/0.75 % 0.53/0.75 fof(cp1_substitution_1,axiom, % 0.53/0.75 ! [A,B] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & cp1(A) ) % 0.53/0.75 => cp1(B) ) ). % 0.53/0.75 % 0.53/0.75 fof(cp1xcomp_substitution_1,axiom, % 0.53/0.75 ! [A,B] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & cp1xcomp(A) ) % 0.53/0.75 => cp1xcomp(B) ) ). % 0.53/0.75 % 0.53/0.75 fof(cp2_substitution_1,axiom, % 0.53/0.75 ! [A,B] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & cp2(A) ) % 0.53/0.75 => cp2(B) ) ). % 0.53/0.75 % 0.53/0.75 fof(ra_Px1_substitution_1,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & ra_Px1(A,C) ) % 0.53/0.75 => ra_Px1(B,C) ) ). % 0.53/0.75 % 0.53/0.75 fof(ra_Px1_substitution_2,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & ra_Px1(C,A) ) % 0.53/0.75 => ra_Px1(C,B) ) ). % 0.53/0.75 % 0.53/0.75 fof(rf1_substitution_1,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & rf1(A,C) ) % 0.53/0.75 => rf1(B,C) ) ). % 0.53/0.75 % 0.53/0.75 fof(rf1_substitution_2,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & rf1(C,A) ) % 0.53/0.75 => rf1(C,B) ) ). % 0.53/0.75 % 0.53/0.75 fof(rf2_substitution_1,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & rf2(A,C) ) % 0.53/0.75 => rf2(B,C) ) ). % 0.53/0.75 % 0.53/0.75 fof(rf2_substitution_2,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & rf2(C,A) ) % 0.53/0.75 => rf2(C,B) ) ). % 0.53/0.75 % 0.53/0.75 fof(rf3_substitution_1,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & rf3(A,C) ) % 0.53/0.75 => rf3(B,C) ) ). % 0.53/0.75 % 0.53/0.75 fof(rf3_substitution_2,axiom, % 0.53/0.75 ! [A,B,C] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & rf3(C,A) ) % 0.53/0.75 => rf3(C,B) ) ). % 0.53/0.75 % 0.53/0.75 fof(xsd_integer_substitution_1,axiom, % 0.53/0.75 ! [A,B] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & xsd_integer(A) ) % 0.53/0.75 => xsd_integer(B) ) ). % 0.53/0.75 % 0.53/0.75 fof(xsd_string_substitution_1,axiom, % 0.53/0.75 ! [A,B] : % 0.53/0.75 ( ( A = B % 0.53/0.75 & xsd_string(A) ) % 0.53/0.75 => xsd_string(B) ) ). % 0.53/0.75 % 0.53/0.75 %----Thing and Nothing % 0.53/0.75 fof(axiom_0,axiom, % 0.53/0.75 ! [X] : % 0.53/0.75 ( cowlThing(X) % 0.53/0.75 & ~ cowlNothing(X) ) ). % 0.53/0.75 % 0.53/0.75 %----String and Integer disjoint % 0.53/0.75 fof(axiom_1,axiom, % 0.53/0.75 ! [X] : % 0.53/0.75 ( xsd_string(X) % 0.53/0.75 <=> ~ xsd_integer(X) ) ). % 0.53/0.75 % 0.53/0.75 %----Equality cUnsatisfiable % 0.53/0.75 fof(axiom_2,axiom, % 0.53/0.75 ! [X] : % 0.53/0.75 ( cUnsatisfiable(X) % 0.53/0.75 <=> ( ? [Y] : % 0.53/0.75 ( rf3(X,Y) % 0.53/0.75 & cp2(Y) ) % 0.53/0.75 & ? [Y] : % 0.53/0.75 ( rf1(X,Y) % 0.53/0.75 & cp1(Y) ) % 0.53/0.75 & ? [Y] : % 0.53/0.75 ( rf2(X,Y) % 0.53/0.75 & cp1xcomp(Y) ) ) ) ). % 0.53/0.75 % 0.53/0.75 %----Equality cp1 % 0.53/0.75 fof(axiom_3,axiom, % 0.53/0.75 ! [X] : % 0.53/0.75 ( cp1(X) % 0.53/0.75 <=> ~ ? [Y] : ra_Px1(X,Y) ) ). % 0.53/0.75 % 0.53/0.75 %----Equality cp1xcomp % 0.53/0.75 fof(axiom_4,axiom, % 0.53/0.75 ! [X] : % 0.53/0.75 ( cp1xcomp(X) % 0.53/0.75 <=> ? [Y0] : ra_Px1(X,Y0) ) ). % 0.53/0.75 % 0.53/0.75 %----Functional: rf1 % 0.53/0.75 fof(axiom_5,axiom, % 0.53/0.75 ! [X,Y,Z] : % 0.53/0.75 ( ( rf1(X,Y) % 0.53/0.75 & rf1(X,Z) ) % 0.53/0.75 => Y = Z ) ). % 0.53/0.75 % 0.53/0.75 %----Functional: rf2 % 0.53/0.75 fof(axiom_6,axiom, % 0.53/0.75 ! [X,Y,Z] : % 0.53/0.75 ( ( rf2(X,Y) % 0.53/0.75 & rf2(X,Z) ) % 0.53/0.75 => Y = Z ) ). % 0.53/0.75 % 0.53/0.75 %----Functional: rf3 % 0.53/0.75 fof(axiom_7,axiom, % 0.53/0.75 ! [X,Y,Z] : % 0.53/0.75 ( ( rf3(X,Y) % 0.53/0.75 & rf3(X,Z) ) % 0.53/0.75 => Y = Z ) ). % 0.53/0.75 % 0.53/0.75 %----i2003_11_14_17_20_57644 % 0.53/0.75 fof(axiom_8,axiom, % 0.53/0.75 cUnsatisfiable(i2003_11_14_17_20_57644) ). % 0.53/0.75 % 0.53/0.75 fof(axiom_9,axiom, % 0.53/0.75 ! [X,Y] : % 0.53/0.75 ( rf3(X,Y) % 0.53/0.75 => rf1(X,Y) ) ). % 0.53/0.75 % 0.53/0.75 fof(axiom_10,axiom, % 0.53/0.75 ! [X,Y] : % 0.53/0.75 ( rf3(X,Y) % 0.53/0.75 => rf2(X,Y) ) ). % 0.53/0.75 % 0.53/0.75 %------------------------------------------------------------------------------ % 0.53/0.75 %------------------------------------------- % 0.53/0.75 % Proof found % 0.53/0.75 % SZS status Theorem for theBenchmark % 0.53/0.75 % SZS output start Proof % 0.53/0.75 %ClaNum:43(EqnAxiom:23) % 0.53/0.75 %VarNum:68(SingletonVarNum:32) % 0.53/0.75 %MaxLitNum:7 % 0.53/0.75 %MaxfuncDepth:1 % 0.53/0.75 %SharedTerms:2 % 0.53/0.75 [24]P1(a1) % 0.53/0.75 [25]~P2(x251) % 0.53/0.75 [26]P11(x261)+P3(x261) % 0.53/0.75 [27]~P11(x271)+~P3(x271) % 0.53/0.75 [28]~P1(x281)+P4(f2(x281)) % 0.53/0.75 [29]~P1(x291)+P5(f4(x291)) % 0.53/0.75 [30]~P1(x301)+P6(f3(x301)) % 0.53/0.75 [31]P4(x311)+P7(x311,f5(x311)) % 0.53/0.75 [33]~P5(x331)+P7(x331,f6(x331)) % 0.53/0.75 [34]~P1(x341)+P8(x341,f2(x341)) % 0.53/0.75 [35]~P1(x351)+P9(x351,f4(x351)) % 0.53/0.75 [36]~P1(x361)+P10(x361,f3(x361)) % 0.53/0.75 [32]P5(x321)+~P7(x321,x322) % 0.53/0.75 [37]~P4(x371)+~P7(x371,x372) % 0.53/0.75 [38]~P10(x381,x382)+P8(x381,x382) % 0.53/0.75 [39]~P10(x391,x392)+P9(x391,x392) % 0.53/0.75 [40]~P8(x403,x401)+E(x401,x402)+~P8(x403,x402) % 0.53/0.75 [41]~P9(x413,x411)+E(x411,x412)+~P9(x413,x412) % 0.53/0.75 [42]~P10(x423,x421)+E(x421,x422)+~P10(x423,x422) % 0.53/0.75 [43]~P8(x431,x432)+~P9(x431,x433)+~P10(x431,x434)+P1(x431)+~P4(x432)+~P5(x433)+~P6(x434) % 0.53/0.75 %EqnAxiom % 0.53/0.75 [1]E(x11,x11) % 0.53/0.75 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.75 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.53/0.75 [5]~E(x51,x52)+E(f4(x51),f4(x52)) % 0.53/0.75 [6]~E(x61,x62)+E(f3(x61),f3(x62)) % 0.53/0.75 [7]~E(x71,x72)+E(f5(x71),f5(x72)) % 0.53/0.75 [8]~E(x81,x82)+E(f6(x81),f6(x82)) % 0.53/0.75 [9]~P1(x91)+P1(x92)+~E(x91,x92) % 0.53/0.75 [10]~P2(x101)+P2(x102)+~E(x101,x102) % 0.53/0.75 [11]~P3(x111)+P3(x112)+~E(x111,x112) % 0.53/0.75 [12]~P11(x121)+P11(x122)+~E(x121,x122) % 0.53/0.75 [13]P10(x132,x133)+~E(x131,x132)+~P10(x131,x133) % 0.53/0.75 [14]P10(x143,x142)+~E(x141,x142)+~P10(x143,x141) % 0.53/0.75 [15]P9(x152,x153)+~E(x151,x152)+~P9(x151,x153) % 0.53/0.75 [16]P9(x163,x162)+~E(x161,x162)+~P9(x163,x161) % 0.53/0.75 [17]~P4(x171)+P4(x172)+~E(x171,x172) % 0.53/0.75 [18]P8(x182,x183)+~E(x181,x182)+~P8(x181,x183) % 0.53/0.75 [19]P8(x193,x192)+~E(x191,x192)+~P8(x193,x191) % 0.53/0.75 [20]~P5(x201)+P5(x202)+~E(x201,x202) % 0.53/0.75 [21]P7(x212,x213)+~E(x211,x212)+~P7(x211,x213) % 0.53/0.75 [22]P7(x223,x222)+~E(x221,x222)+~P7(x223,x221) % 0.53/0.75 [23]~P6(x231)+P6(x232)+~E(x231,x232) % 0.53/0.75 % 0.53/0.75 %------------------------------------------- % 0.53/0.75 cnf(45,plain, % 0.53/0.75 (~E(a1,x451)+P4(f2(x451))), % 0.53/0.75 inference(scs_inference,[],[24,28,9])). % 0.53/0.75 cnf(46,plain, % 0.53/0.75 (P4(f2(a1))), % 0.53/0.75 inference(equality_inference,[],[45])). % 0.53/0.75 cnf(49,plain, % 0.53/0.75 (~P5(f2(a1))), % 0.53/0.75 inference(scs_inference,[],[46,37,33])). % 0.53/0.75 cnf(51,plain, % 0.53/0.75 (~E(a1,x511)+P5(f4(x511))), % 0.53/0.75 inference(scs_inference,[],[24,29,9])). % 0.53/0.75 cnf(52,plain, % 0.53/0.75 (P5(f4(a1))), % 0.53/0.75 inference(equality_inference,[],[51])). % 0.53/0.75 cnf(61,plain, % 0.53/0.75 (~E(a1,x611)+P8(x611,f2(x611))), % 0.53/0.75 inference(scs_inference,[],[24,34,9])). % 0.53/0.75 cnf(62,plain, % 0.53/0.75 (P8(a1,f2(a1))), % 0.53/0.75 inference(equality_inference,[],[61])). % 0.53/0.75 cnf(67,plain, % 0.53/0.75 (~E(a1,x671)+P9(x671,f4(x671))), % 0.53/0.76 inference(scs_inference,[],[24,35,9])). % 0.53/0.76 cnf(68,plain, % 0.53/0.76 (P9(a1,f4(a1))), % 0.53/0.76 inference(equality_inference,[],[67])). % 0.53/0.76 cnf(73,plain, % 0.53/0.76 (~E(a1,x731)+P10(x731,f3(x731))), % 0.53/0.76 inference(scs_inference,[],[24,36,9])). % 0.53/0.76 cnf(74,plain, % 0.53/0.76 (P10(a1,f3(a1))), % 0.53/0.76 inference(equality_inference,[],[73])). % 0.53/0.76 cnf(79,plain, % 0.53/0.76 (P8(x791,f3(a1))+~E(a1,x791)), % 0.53/0.76 inference(scs_inference,[],[74,38,18])). % 0.53/0.76 cnf(80,plain, % 0.53/0.76 (P8(a1,f3(a1))), % 0.53/0.76 inference(equality_inference,[],[79])). % 0.53/0.76 cnf(82,plain, % 0.53/0.76 (E(f2(a1),x821)+~E(f3(a1),x821)), % 0.53/0.76 inference(scs_inference,[],[62,80,19,40])). % 0.53/0.76 cnf(84,plain, % 0.53/0.76 (~E(f3(a1),x841)+P4(x841)), % 0.53/0.76 inference(scs_inference,[],[62,46,80,19,40,9,11,12,17])). % 0.53/0.76 cnf(87,plain, % 0.53/0.76 (E(f2(a1),f3(a1))), % 0.53/0.76 inference(equality_inference,[],[82])). % 0.53/0.76 cnf(88,plain, % 0.53/0.76 (P4(f3(a1))), % 0.53/0.76 inference(equality_inference,[],[84])). % 0.53/0.76 cnf(89,plain, % 0.53/0.76 (P9(x891,f3(a1))+~E(a1,x891)), % 0.53/0.76 inference(scs_inference,[],[74,39,15])). % 0.53/0.76 cnf(90,plain, % 0.53/0.76 (P9(a1,f3(a1))), % 0.53/0.76 inference(equality_inference,[],[89])). % 0.53/0.76 cnf(94,plain, % 0.53/0.76 (~P5(f3(a1))), % 0.53/0.76 inference(scs_inference,[],[49,87,88,2,37,20])). % 0.53/0.76 cnf(95,plain, % 0.53/0.76 (P9(a1,f2(a1))), % 0.53/0.76 inference(scs_inference,[],[49,87,88,90,2,37,20,16])). % 0.53/0.76 cnf(120,plain, % 0.53/0.76 (E(f4(a1),f3(a1))), % 0.53/0.76 inference(scs_inference,[],[87,95,68,3,41])). % 0.53/0.76 cnf(124,plain, % 0.53/0.76 ($false), % 0.53/0.76 inference(scs_inference,[],[87,88,94,52,120,2,3,17,20]), % 0.53/0.76 ['proof']). % 0.53/0.76 % SZS output end Proof % 0.53/0.76 % Total time :0.110000s %------------------------------------------------------------------------------