%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS167+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 : n029.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 3.72s 3.79s % Output : CNFRefutation 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS167+1 : TPTP v8.2.0. Released v3.1.0. % 0.04/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.11/0.33 % Computer : n029.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Wed Jun 19 12:20:24 EDT 2024 % 0.11/0.33 % CPUTime : % 0.52/0.58 start to proof:theBenchmark % 3.72/3.78 %------------------------------------------- % 3.72/3.78 % File :CSE---1.7 % 3.72/3.78 % Problem :theBenchmark % 3.72/3.78 % Transform :cnf % 3.72/3.78 % Format :tptp:raw % 3.72/3.78 % Command :java -jar mcs_scs.jar %d %s % 3.72/3.78 % 3.72/3.78 % Result :Theorem 3.170000s % 3.72/3.78 % Output :CNFRefutation 3.170000s % 3.72/3.78 %------------------------------------------- % 3.72/3.78 %------------------------------------------------------------------------------ % 3.72/3.78 % File : KRS167+1 : TPTP v8.2.0. Released v3.1.0. % 3.72/3.78 % Domain : Knowledge Representation (Semantic Web) % 3.72/3.78 % Problem : Two classes with the same complete description are equivalent % 3.72/3.78 % Version : Especial. % 3.72/3.78 % English : % 3.72/3.78 % 3.72/3.78 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 3.72/3.78 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 3.72/3.78 % Source : [Bec03] % 3.72/3.78 % Names : positive_equivalentClass-Manifest004 [Bec03] % 3.72/3.78 % 3.72/3.78 % Status : Theorem % 3.72/3.78 % Rating : 0.08 v8.2.0, 0.06 v8.1.0, 0.03 v7.2.0, 0.00 v7.0.0, 0.03 v6.4.0, 0.08 v6.3.0, 0.00 v6.1.0, 0.03 v6.0.0, 0.04 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.19 v5.2.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.00 v3.2.0, 0.11 v3.1.0 % 3.72/3.78 % Syntax : Number of formulae : 13 ( 0 unt; 0 def) % 3.72/3.78 % Number of atoms : 44 ( 10 equ) % 3.72/3.78 % Maximal formula atoms : 6 ( 3 avg) % 3.72/3.78 % Number of connectives : 35 ( 4 ~; 0 |; 16 &) % 3.72/3.78 % ( 5 <=>; 10 =>; 0 <=; 0 <~>) % 3.72/3.78 % Maximal formula depth : 8 ( 6 avg) % 3.72/3.78 % Maximal term depth : 1 ( 1 avg) % 3.72/3.78 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty) % 3.72/3.78 % Number of functors : 0 ( 0 usr; 0 con; --- aty) % 3.72/3.78 % Number of variables : 31 ( 29 !; 2 ?) % 3.72/3.78 % SPC : FOF_THM_RFO_SEQ % 3.72/3.78 % 3.72/3.78 % Comments : Sean Bechhofer says there are some errors in the encoding of % 3.72/3.78 % datatypes, so this problem may not be perfect. At least it's % 3.72/3.78 % still representative of the type of reasoning required for OWL. % 3.72/3.78 %------------------------------------------------------------------------------ % 3.72/3.78 fof(cc1_substitution_1,axiom, % 3.72/3.78 ! [A,B] : % 3.72/3.78 ( ( A = B % 3.72/3.78 & cc1(A) ) % 3.72/3.78 => cc1(B) ) ). % 3.72/3.78 % 3.72/3.78 fof(cc2_substitution_1,axiom, % 3.72/3.78 ! [A,B] : % 3.72/3.78 ( ( A = B % 3.72/3.78 & cc2(A) ) % 3.72/3.78 => cc2(B) ) ). % 3.72/3.78 % 3.72/3.78 fof(cowlNothing_substitution_1,axiom, % 3.72/3.78 ! [A,B] : % 3.72/3.79 ( ( A = B % 3.72/3.79 & cowlNothing(A) ) % 3.72/3.79 => cowlNothing(B) ) ). % 3.72/3.79 % 3.72/3.79 fof(cowlThing_substitution_1,axiom, % 3.72/3.79 ! [A,B] : % 3.72/3.79 ( ( A = B % 3.72/3.79 & cowlThing(A) ) % 3.72/3.79 => cowlThing(B) ) ). % 3.72/3.79 % 3.72/3.79 fof(rp_substitution_1,axiom, % 3.72/3.79 ! [A,B,C] : % 3.72/3.79 ( ( A = B % 3.72/3.79 & rp(A,C) ) % 3.72/3.79 => rp(B,C) ) ). % 3.72/3.79 % 3.72/3.79 fof(rp_substitution_2,axiom, % 3.72/3.79 ! [A,B,C] : % 3.72/3.79 ( ( A = B % 3.72/3.79 & rp(C,A) ) % 3.72/3.79 => rp(C,B) ) ). % 3.72/3.79 % 3.72/3.79 fof(xsd_integer_substitution_1,axiom, % 3.72/3.79 ! [A,B] : % 3.72/3.79 ( ( A = B % 3.72/3.79 & xsd_integer(A) ) % 3.72/3.79 => xsd_integer(B) ) ). % 3.72/3.79 % 3.72/3.79 fof(xsd_string_substitution_1,axiom, % 3.72/3.79 ! [A,B] : % 3.72/3.79 ( ( A = B % 3.72/3.79 & xsd_string(A) ) % 3.72/3.79 => xsd_string(B) ) ). % 3.72/3.79 % 3.72/3.79 %----Thing and Nothing % 3.72/3.79 fof(axiom_0,axiom, % 3.72/3.79 ! [X] : % 3.72/3.79 ( cowlThing(X) % 3.72/3.79 & ~ cowlNothing(X) ) ). % 3.72/3.79 % 3.72/3.79 %----String and Integer disjoint % 3.72/3.79 fof(axiom_1,axiom, % 3.72/3.79 ! [X] : % 3.72/3.79 ( xsd_string(X) % 3.72/3.79 <=> ~ xsd_integer(X) ) ). % 3.72/3.79 % 3.72/3.79 %----Equality cc1 % 3.72/3.79 fof(axiom_2,axiom, % 3.72/3.79 ! [X] : % 3.72/3.79 ( cc1(X) % 3.72/3.79 <=> ( ? [Y0] : rp(X,Y0) % 3.72/3.79 & ! [Y0,Y1] : % 3.72/3.79 ( ( rp(X,Y0) % 3.72/3.79 & rp(X,Y1) ) % 3.72/3.79 => Y0 = Y1 ) ) ) ). % 3.72/3.79 % 3.72/3.79 %----Equality cc2 % 3.72/3.79 fof(axiom_3,axiom, % 3.72/3.79 ! [X] : % 3.72/3.79 ( cc2(X) % 3.72/3.79 <=> ( ? [Y0] : rp(X,Y0) % 3.72/3.79 & ! [Y0,Y1] : % 3.72/3.79 ( ( rp(X,Y0) % 3.72/3.79 & rp(X,Y1) ) % 3.72/3.79 => Y0 = Y1 ) ) ) ). % 3.72/3.79 % 3.72/3.79 %----Thing and Nothing % 3.72/3.79 %----String and Integer disjoint % 3.72/3.79 %----Equality cc1 % 3.72/3.79 fof(the_axiom,conjecture, % 3.72/3.79 ( ! [X] : % 3.72/3.79 ( cowlThing(X) % 3.72/3.79 & ~ cowlNothing(X) ) % 3.72/3.79 & ! [X] : % 3.72/3.79 ( xsd_string(X) % 3.72/3.79 <=> ~ xsd_integer(X) ) % 3.72/3.79 & ! [X] : % 3.72/3.79 ( cc1(X) % 3.72/3.79 <=> cc2(X) ) ) ). % 3.72/3.79 % 3.72/3.79 %------------------------------------------------------------------------------ % 3.72/3.79 %------------------------------------------- % 3.72/3.79 % Proof found % 3.72/3.79 % SZS status Theorem for theBenchmark % 3.72/3.79 % SZS output start Proof % 3.72/3.79 %ClaNum:33(EqnAxiom:16) % 3.72/3.79 %VarNum:55(SingletonVarNum:23) % 3.72/3.79 %MaxLitNum:5 % 3.72/3.79 %MaxfuncDepth:1 % 3.72/3.79 %SharedTerms:12 % 3.72/3.79 %goalClause: 20 21 22 23 % 3.72/3.79 [17]~P1(x171) % 3.72/3.79 [18]P6(x181)+P4(x181) % 3.72/3.79 [19]~P6(x191)+~P4(x191) % 3.72/3.79 [24]~P2(x241)+P5(x241,f3(x241)) % 3.72/3.79 [25]~P3(x251)+P5(x251,f4(x251)) % 3.72/3.79 [26]P2(x261)+~P5(x261,x262)+~E(f5(x261),f6(x261)) % 3.72/3.79 [27]P3(x271)+~P5(x271,x272)+~E(f7(x271),f8(x271)) % 3.72/3.79 [28]P2(x281)+~P5(x281,x282)+P5(x281,f6(x281)) % 3.72/3.79 [29]P2(x291)+~P5(x291,x292)+P5(x291,f5(x291)) % 3.72/3.79 [30]P3(x301)+~P5(x301,x302)+P5(x301,f8(x301)) % 3.72/3.79 [31]P3(x311)+~P5(x311,x312)+P5(x311,f7(x311)) % 3.72/3.79 [32]~P5(x323,x322)+~P5(x323,x321)+E(x321,x322)+~P2(x323) % 3.72/3.79 [33]~P5(x333,x332)+~P5(x333,x331)+E(x331,x332)+~P3(x333) % 3.72/3.79 [20]P2(a1)+P3(a1)+P1(a2)+P4(a9)+~P6(a9) % 3.72/3.79 [21]P2(a1)+P3(a1)+P1(a2)+P6(a9)+~P4(a9) % 3.72/3.79 [22]P1(a2)+P4(a9)+~P2(a1)+~P3(a1)+~P6(a9) % 3.72/3.79 [23]P1(a2)+P6(a9)+~P2(a1)+~P3(a1)+~P4(a9) % 3.72/3.79 %EqnAxiom % 3.72/3.79 [1]E(x11,x11) % 3.72/3.79 [2]E(x22,x21)+~E(x21,x22) % 3.72/3.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 3.72/3.79 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 3.72/3.79 [5]~E(x51,x52)+E(f4(x51),f4(x52)) % 3.72/3.79 [6]~E(x61,x62)+E(f5(x61),f5(x62)) % 3.72/3.79 [7]~E(x71,x72)+E(f6(x71),f6(x72)) % 3.72/3.79 [8]~E(x81,x82)+E(f7(x81),f7(x82)) % 3.72/3.79 [9]~E(x91,x92)+E(f8(x91),f8(x92)) % 3.72/3.79 [10]~P1(x101)+P1(x102)+~E(x101,x102) % 3.72/3.79 [11]~P4(x111)+P4(x112)+~E(x111,x112) % 3.72/3.79 [12]~P6(x121)+P6(x122)+~E(x121,x122) % 3.72/3.79 [13]P5(x132,x133)+~E(x131,x132)+~P5(x131,x133) % 3.72/3.79 [14]P5(x143,x142)+~E(x141,x142)+~P5(x143,x141) % 3.72/3.79 [15]~P2(x151)+P2(x152)+~E(x151,x152) % 3.72/3.79 [16]~P3(x161)+P3(x162)+~E(x161,x162) % 3.72/3.79 % 3.72/3.79 %------------------------------------------- % 3.72/3.79 cnf(37,plain, % 3.72/3.79 (P2(a1)+P3(a1)+P4(a9)+~P6(a9)), % 3.72/3.79 inference(scs_inference,[],[17,20])). % 3.72/3.79 cnf(38,plain, % 3.72/3.79 (P2(a1)+P3(a1)+P6(a9)+~P4(a9)), % 3.72/3.79 inference(scs_inference,[],[17,21])). % 3.72/3.79 cnf(39,plain, % 3.72/3.79 (P4(a9)+~P2(a1)+~P3(a1)+~P6(a9)), % 3.72/3.79 inference(scs_inference,[],[17,22])). % 3.72/3.79 cnf(40,plain, % 3.72/3.79 (P6(a9)+~P2(a1)+~P3(a1)+~P4(a9)), % 3.72/3.79 inference(scs_inference,[],[17,23])). % 3.72/3.79 cnf(61,plain, % 3.72/3.79 (P5(x611,x612)+~P3(x611)+~E(f4(x611),x612)), % 3.72/3.79 inference(scs_inference,[],[14,25])). % 3.72/3.79 cnf(69,plain, % 3.72/3.79 (~P5(x691,x692)+~E(f5(x691),f6(x691))+P5(x691,f3(x691))), % 3.72/3.79 inference(scs_inference,[],[26,24])). % 3.72/3.79 cnf(77,plain, % 3.72/3.79 (P2(a1)+P3(a1)+P4(a9)), % 3.72/3.79 inference(scs_inference,[],[18,37])). % 3.72/3.79 cnf(78,plain, % 3.72/3.79 (P5(a1,f3(a1))+P3(a1)+P4(a9)), % 3.72/3.79 inference(scs_inference,[],[77,24])). % 3.72/3.79 cnf(79,plain, % 3.72/3.79 (P3(a1)+~E(f7(a1),f8(a1))+P4(a9)), % 3.72/3.79 inference(scs_inference,[],[78,27])). % 3.72/3.79 cnf(81,plain, % 3.72/3.79 (P2(a1)+P3(a1)+P6(a9)), % 3.72/3.79 inference(scs_inference,[],[18,38])). % 3.72/3.79 cnf(82,plain, % 3.72/3.79 (P5(a1,f3(a1))+P3(a1)+P6(a9)), % 3.72/3.79 inference(scs_inference,[],[81,24])). % 3.72/3.79 cnf(83,plain, % 3.72/3.79 (P3(a1)+~E(f7(a1),f8(a1))+P6(a9)), % 3.72/3.79 inference(scs_inference,[],[82,27])). % 3.72/3.79 cnf(84,plain, % 3.72/3.79 (~E(f8(a1),f7(a1))+P3(a1)+P6(a9)), % 3.72/3.79 inference(scs_inference,[],[83,2])). % 3.72/3.79 cnf(85,plain, % 3.72/3.79 (~P4(a9)+~E(f8(a1),f7(a1))+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[84,19])). % 3.72/3.79 cnf(86,plain, % 3.72/3.79 (~E(f7(a1),f8(a1))+~P4(a9)+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[85,2])). % 3.72/3.79 cnf(87,plain, % 3.72/3.79 (~E(f7(a1),f8(a1))+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[86,79])). % 3.72/3.79 cnf(88,plain, % 3.72/3.79 (~E(f8(a1),f7(a1))+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[87,2])). % 3.72/3.79 cnf(89,plain, % 3.72/3.79 (~E(x891,f7(a1))+~E(f8(a1),x891)+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[88,3])). % 3.72/3.79 cnf(92,plain, % 3.72/3.79 (P4(a9)+~P2(a1)+~P3(a1)), % 3.72/3.79 inference(scs_inference,[],[18,39])). % 3.72/3.79 cnf(93,plain, % 3.72/3.79 (~P6(a9)+~P2(a1)+~P3(a1)), % 3.72/3.79 inference(scs_inference,[],[92,19])). % 3.72/3.79 cnf(94,plain, % 3.72/3.79 (~P2(a1)+~P3(a1)+~P4(a9)), % 3.72/3.79 inference(scs_inference,[],[93,40])). % 3.72/3.79 cnf(95,plain, % 3.72/3.79 (~P2(a1)+~P3(a1)), % 3.72/3.79 inference(scs_inference,[],[94,92])). % 3.72/3.79 cnf(102,plain, % 3.72/3.79 (~P6(a9)+P2(a1)+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[19,77])). % 3.72/3.79 cnf(103,plain, % 3.72/3.79 (P2(a1)+P3(a1)), % 3.72/3.79 inference(scs_inference,[],[102,81])). % 3.72/3.79 cnf(129,plain, % 3.72/3.79 (~P5(a1,x1291)+P5(a1,f6(a1))+~P3(a1)), % 3.72/3.79 inference(scs_inference,[],[95,28])). % 3.72/3.79 cnf(130,plain, % 3.72/3.79 (~P3(a1)+~E(f4(a1),x1301)+P5(a1,f6(a1))), % 3.72/3.79 inference(scs_inference,[],[129,61])). % 3.72/3.79 cnf(131,plain, % 3.72/3.79 (P5(a1,f6(a1))+~P3(a1)), % 3.72/3.79 inference(equality_inference,[],[130])). % 3.72/3.79 cnf(139,plain, % 3.72/3.79 (~P5(a1,x1391)+P5(a1,f8(a1))+~P2(a1)), % 3.72/3.79 inference(scs_inference,[],[95,30])). % 3.72/3.79 cnf(140,plain, % 3.72/3.79 (~P2(a1)+P5(a1,f8(a1))), % 3.72/3.79 inference(scs_inference,[],[139,24])). % 3.72/3.79 cnf(149,plain, % 3.72/3.79 (P5(a1,f4(a1))+P2(a1)), % 3.72/3.79 inference(scs_inference,[],[103,25])). % 3.72/3.79 cnf(150,plain, % 3.72/3.79 (~E(f5(a1),f6(a1))+P5(a1,f3(a1))+P2(a1)), % 3.72/3.79 inference(scs_inference,[],[149,69])). % 3.72/3.79 cnf(151,plain, % 3.72/3.79 (P2(a1)+~E(f5(a1),f6(a1))), % 3.72/3.79 inference(scs_inference,[],[150,26])). % 3.72/3.79 cnf(158,plain, % 3.72/3.80 (P5(a1,f6(a1))+P2(a1)), % 3.72/3.80 inference(scs_inference,[],[103,131])). % 3.72/3.80 cnf(159,plain, % 3.72/3.80 (P2(a1)+P5(a1,f5(a1))), % 3.72/3.80 inference(scs_inference,[],[158,29])). % 3.72/3.80 cnf(310,plain, % 3.72/3.80 (E(x3101,f3(x3102))+~P2(x3102)+~P5(x3102,x3101)), % 3.72/3.80 inference(scs_inference,[],[24,32])). % 3.72/3.80 cnf(311,plain, % 3.72/3.80 (~P5(a1,x3111)+E(x3111,f3(a1))+P3(a1)), % 3.72/3.80 inference(scs_inference,[],[310,103])). % 3.72/3.80 cnf(312,plain, % 3.72/3.80 (~E(f3(a1),f7(a1))+~P5(a1,f8(a1))+P3(a1)), % 3.72/3.80 inference(scs_inference,[],[311,89])). % 3.72/3.80 cnf(313,plain, % 3.72/3.80 (~E(f7(a1),f3(a1))+~P5(a1,f8(a1))+P3(a1)), % 3.72/3.80 inference(scs_inference,[],[312,2])). % 3.72/3.80 cnf(314,plain, % 3.72/3.80 (~P5(a1,f7(a1))+~P5(a1,f8(a1))+P3(a1)), % 3.72/3.80 inference(scs_inference,[],[313,311])). % 3.72/3.80 cnf(315,plain, % 3.72/3.80 (~P5(a1,x3151)+P3(a1)+~P5(a1,f8(a1))), % 3.72/3.80 inference(scs_inference,[],[314,31])). % 3.72/3.80 cnf(316,plain, % 3.72/3.80 (~P5(a1,f8(a1))+P3(a1)), % 3.72/3.80 inference(factoring_inference,[],[315])). % 3.72/3.80 cnf(317,plain, % 3.72/3.80 (P3(a1)+~P2(a1)), % 3.72/3.80 inference(scs_inference,[],[316,140])). % 3.72/3.80 cnf(324,plain, % 3.72/3.80 (~P2(a1)), % 3.72/3.80 inference(scs_inference,[],[317,95])). % 3.72/3.80 cnf(325,plain, % 3.72/3.80 (P3(a1)), % 3.72/3.80 inference(scs_inference,[],[324,103])). % 3.72/3.80 cnf(327,plain, % 3.72/3.80 (~E(f5(a1),f6(a1))), % 3.72/3.80 inference(scs_inference,[],[324,151])). % 3.72/3.80 cnf(332,plain, % 3.72/3.80 (P5(a1,f6(a1))), % 3.72/3.80 inference(scs_inference,[],[324,158])). % 3.72/3.80 cnf(333,plain, % 3.72/3.80 (P5(a1,f5(a1))), % 3.72/3.80 inference(scs_inference,[],[324,159])). % 3.72/3.80 cnf(386,plain, % 3.72/3.80 ($false), % 3.72/3.80 inference(scs_inference,[],[325,327,333,332,33]), % 3.72/3.80 ['proof']). % 3.72/3.80 % SZS output end Proof % 3.72/3.80 % Total time :3.170000s %------------------------------------------------------------------------------