%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS079+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 : n019.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 10:08:25 EDT 2024 % Result : Unsatisfiable 0.53s 0.66s % Output : CNFRefutation 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS079+1 : TPTP v8.2.0. Released v3.1.0. % 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.31 % Computer : n019.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 300 % 0.12/0.31 % DateTime : Wed Jun 19 14:22:39 EDT 2024 % 0.17/0.32 % CPUTime : % 0.53/0.55 start to proof:theBenchmark % 0.53/0.66 %------------------------------------------- % 0.53/0.66 % File :CSE---1.7 % 0.53/0.66 % Problem :theBenchmark % 0.53/0.66 % Transform :cnf % 0.53/0.66 % Format :tptp:raw % 0.53/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.53/0.66 % 0.53/0.66 % Result :Theorem 0.070000s % 0.53/0.66 % Output :CNFRefutation 0.070000s % 0.53/0.66 %------------------------------------------- % 0.53/0.66 %------------------------------------------------------------------------------ % 0.53/0.66 % File : KRS079+1 : TPTP v8.2.0. Released v3.1.0. % 0.53/0.66 % Domain : Knowledge Representation (Semantic Web) % 0.53/0.66 % Problem : DL Test: t2.2 % 0.53/0.66 % Version : Especial. % 0.53/0.66 % English : % 0.53/0.66 % 0.53/0.66 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.53/0.66 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.53/0.66 % Source : [Bec03] % 0.53/0.66 % Names : inconsistent_description-logic-Manifest017 [Bec03] % 0.53/0.66 % 0.53/0.66 % Status : Unsatisfiable % 0.53/0.66 % Rating : 0.00 v3.1.0 % 0.53/0.66 % Syntax : Number of formulae : 22 ( 1 unt; 0 def) % 0.53/0.66 % Number of atoms : 65 ( 15 equ) % 0.53/0.66 % Maximal formula atoms : 7 ( 2 avg) % 0.53/0.66 % Number of connectives : 46 ( 3 ~; 0 |; 21 &) % 0.53/0.66 % ( 2 <=>; 20 =>; 0 <=; 0 <~>) % 0.53/0.66 % Maximal formula depth : 7 ( 5 avg) % 0.53/0.66 % Maximal term depth : 1 ( 1 avg) % 0.53/0.66 % Number of predicates : 11 ( 10 usr; 0 prp; 1-2 aty) % 0.53/0.66 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.53/0.66 % Number of variables : 49 ( 46 !; 3 ?) % 0.53/0.66 % SPC : FOF_UNS_RFO_SEQ % 0.53/0.66 % 0.53/0.66 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.53/0.66 % datatypes, so this problem may not be perfect. At least it's % 0.53/0.66 % still representative of the type of reasoning required for OWL. % 0.53/0.66 %------------------------------------------------------------------------------ % 0.53/0.66 fof(cUnsatisfiable_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & cUnsatisfiable(A) ) % 0.53/0.66 => cUnsatisfiable(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(cowlNothing_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & cowlNothing(A) ) % 0.53/0.66 => cowlNothing(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(cowlThing_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & cowlThing(A) ) % 0.53/0.66 => cowlThing(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(cp1_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & cp1(A) ) % 0.53/0.66 => cp1(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(cp2_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & cp2(A) ) % 0.53/0.66 => cp2(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(rf1_substitution_1,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & rf1(A,C) ) % 0.53/0.66 => rf1(B,C) ) ). % 0.53/0.66 % 0.53/0.66 fof(rf1_substitution_2,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & rf1(C,A) ) % 0.53/0.66 => rf1(C,B) ) ). % 0.53/0.66 % 0.53/0.66 fof(rf2_substitution_1,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & rf2(A,C) ) % 0.53/0.66 => rf2(B,C) ) ). % 0.53/0.66 % 0.53/0.66 fof(rf2_substitution_2,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & rf2(C,A) ) % 0.53/0.66 => rf2(C,B) ) ). % 0.53/0.66 % 0.53/0.66 fof(rr_substitution_1,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & rr(A,C) ) % 0.53/0.66 => rr(B,C) ) ). % 0.53/0.66 % 0.53/0.66 fof(rr_substitution_2,axiom, % 0.53/0.66 ! [A,B,C] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & rr(C,A) ) % 0.53/0.66 => rr(C,B) ) ). % 0.53/0.66 % 0.53/0.66 fof(xsd_integer_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & xsd_integer(A) ) % 0.53/0.66 => xsd_integer(B) ) ). % 0.53/0.66 % 0.53/0.66 fof(xsd_string_substitution_1,axiom, % 0.53/0.66 ! [A,B] : % 0.53/0.66 ( ( A = B % 0.53/0.66 & xsd_string(A) ) % 0.53/0.66 => xsd_string(B) ) ). % 0.53/0.66 % 0.53/0.66 %----Thing and Nothing % 0.53/0.66 fof(axiom_0,axiom, % 0.53/0.66 ! [X] : % 0.53/0.66 ( cowlThing(X) % 0.53/0.66 & ~ cowlNothing(X) ) ). % 0.53/0.66 % 0.53/0.66 %----String and Integer disjoint % 0.53/0.66 fof(axiom_1,axiom, % 0.53/0.66 ! [X] : % 0.53/0.66 ( xsd_string(X) % 0.53/0.66 <=> ~ xsd_integer(X) ) ). % 0.53/0.66 % 0.53/0.66 %----Equality cUnsatisfiable % 0.53/0.66 fof(axiom_2,axiom, % 0.53/0.66 ! [X] : % 0.53/0.66 ( cUnsatisfiable(X) % 0.53/0.66 <=> ( ? [Y] : % 0.53/0.66 ( rf2(X,Y) % 0.53/0.66 & cp2(Y) ) % 0.53/0.66 & ? [Y] : % 0.53/0.66 ( rf1(X,Y) % 0.53/0.66 & cp1(Y) ) % 0.53/0.66 & ? [Y] : % 0.53/0.66 ( rr(X,Y) % 0.53/0.66 & cowlThing(Y) ) ) ) ). % 0.53/0.66 % 0.53/0.66 %----Super cp1 % 0.53/0.66 fof(axiom_3,axiom, % 0.53/0.66 ! [X] : % 0.53/0.66 ( cp1(X) % 0.53/0.66 => ~ cp2(X) ) ). % 0.53/0.66 % 0.53/0.66 %----Super cowlThing % 0.53/0.66 fof(axiom_4,axiom, % 0.53/0.66 ! [X] : % 0.53/0.66 ( cowlThing(X) % 0.53/0.66 => ! [Y0,Y1] : % 0.53/0.66 ( ( rf1(X,Y0) % 0.53/0.66 & rf1(X,Y1) ) % 0.53/0.66 => Y0 = Y1 ) ) ). % 0.53/0.66 % 0.53/0.66 %----Super cowlThing % 0.53/0.66 fof(axiom_5,axiom, % 0.53/0.66 ! [X] : % 0.53/0.66 ( cowlThing(X) % 0.53/0.66 => ! [Y0,Y1] : % 0.53/0.66 ( ( rf2(X,Y0) % 0.53/0.66 & rf2(X,Y1) ) % 0.53/0.66 => Y0 = Y1 ) ) ). % 0.53/0.66 % 0.53/0.66 %----i2003_11_14_17_19_17492 % 0.53/0.66 fof(axiom_6,axiom, % 0.53/0.66 cUnsatisfiable(i2003_11_14_17_19_17492) ). % 0.53/0.66 % 0.53/0.66 fof(axiom_7,axiom, % 0.53/0.66 ! [X,Y] : % 0.53/0.66 ( rr(X,Y) % 0.53/0.66 => rf1(X,Y) ) ). % 0.53/0.66 % 0.53/0.66 fof(axiom_8,axiom, % 0.53/0.66 ! [X,Y] : % 0.53/0.66 ( rr(X,Y) % 0.53/0.66 => rf2(X,Y) ) ). % 0.53/0.66 % 0.53/0.66 %------------------------------------------------------------------------------ % 0.53/0.66 %------------------------------------------- % 0.53/0.66 % Proof found % 0.53/0.66 % SZS status Theorem for theBenchmark % 0.53/0.66 % SZS output start Proof % 0.53/0.66 %ClaNum:33(EqnAxiom:18) % 0.53/0.66 %VarNum:49(SingletonVarNum:23) % 0.53/0.66 %MaxLitNum:6 % 0.53/0.66 %MaxfuncDepth:1 % 0.53/0.66 %SharedTerms:2 % 0.53/0.66 [19]P1(a1) % 0.53/0.66 [20]~P2(x201) % 0.53/0.66 [21]P9(x211)+P3(x211) % 0.53/0.66 [22]~P5(x221)+~P4(x221) % 0.53/0.66 [23]~P9(x231)+~P3(x231) % 0.53/0.66 [24]~P1(x241)+P4(f2(x241)) % 0.53/0.66 [25]~P1(x251)+P5(f3(x251)) % 0.53/0.66 [26]~P1(x261)+P6(x261,f2(x261)) % 0.53/0.66 [27]~P1(x271)+P7(x271,f3(x271)) % 0.53/0.66 [28]~P1(x281)+P8(x281,f4(x281)) % 0.53/0.66 [29]~P8(x291,x292)+P6(x291,x292) % 0.53/0.66 [30]~P8(x301,x302)+P7(x301,x302) % 0.53/0.66 [31]~P6(x313,x311)+E(x311,x312)+~P6(x313,x312) % 0.53/0.66 [32]~P7(x323,x321)+E(x321,x322)+~P7(x323,x322) % 0.53/0.66 [33]~P6(x331,x332)+~P7(x331,x333)+P1(x331)+~P4(x332)+~P8(x331,x334)+~P5(x333) % 0.53/0.66 %EqnAxiom % 0.53/0.66 [1]E(x11,x11) % 0.53/0.66 [2]E(x22,x21)+~E(x21,x22) % 0.53/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.53/0.66 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.53/0.66 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.53/0.66 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.53/0.66 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.53/0.66 [8]~P2(x81)+P2(x82)+~E(x81,x82) % 0.53/0.66 [9]~P3(x91)+P3(x92)+~E(x91,x92) % 0.53/0.66 [10]~P9(x101)+P9(x102)+~E(x101,x102) % 0.53/0.66 [11]~P4(x111)+P4(x112)+~E(x111,x112) % 0.53/0.66 [12]~P5(x121)+P5(x122)+~E(x121,x122) % 0.53/0.66 [13]P7(x132,x133)+~E(x131,x132)+~P7(x131,x133) % 0.53/0.66 [14]P7(x143,x142)+~E(x141,x142)+~P7(x143,x141) % 0.53/0.66 [15]P8(x152,x153)+~E(x151,x152)+~P8(x151,x153) % 0.53/0.66 [16]P8(x163,x162)+~E(x161,x162)+~P8(x163,x161) % 0.53/0.66 [17]P6(x172,x173)+~E(x171,x172)+~P6(x171,x173) % 0.53/0.67 [18]P6(x183,x182)+~E(x181,x182)+~P6(x183,x181) % 0.53/0.67 % 0.53/0.67 %------------------------------------------- % 0.53/0.67 cnf(35,plain, % 0.53/0.67 (~P5(f2(a1))), % 0.53/0.67 inference(scs_inference,[],[19,22,24])). % 0.53/0.67 cnf(36,plain, % 0.53/0.67 (~E(a1,x361)+P5(f3(x361))), % 0.53/0.67 inference(scs_inference,[],[19,25,7])). % 0.53/0.67 cnf(37,plain, % 0.53/0.67 (P5(f3(a1))), % 0.53/0.67 inference(equality_inference,[],[36])). % 0.53/0.67 cnf(40,plain, % 0.53/0.67 (~E(a1,x401)+P6(x401,f2(x401))), % 0.53/0.67 inference(scs_inference,[],[19,26,7])). % 0.53/0.67 cnf(41,plain, % 0.53/0.67 (P6(a1,f2(a1))), % 0.53/0.67 inference(equality_inference,[],[40])). % 0.53/0.67 cnf(46,plain, % 0.53/0.67 (~E(a1,x461)+P7(x461,f3(x461))), % 0.53/0.67 inference(scs_inference,[],[19,27,7])). % 0.53/0.67 cnf(47,plain, % 0.53/0.67 (P7(a1,f3(a1))), % 0.53/0.67 inference(equality_inference,[],[46])). % 0.53/0.67 cnf(52,plain, % 0.53/0.67 (~E(a1,x521)+P8(x521,f4(x521))), % 0.53/0.67 inference(scs_inference,[],[19,28,7])). % 0.53/0.67 cnf(53,plain, % 0.53/0.67 (P8(a1,f4(a1))), % 0.53/0.67 inference(equality_inference,[],[52])). % 0.53/0.67 cnf(58,plain, % 0.53/0.67 (P6(x581,f4(a1))+~E(a1,x581)), % 0.53/0.67 inference(scs_inference,[],[53,29,17])). % 0.53/0.67 cnf(59,plain, % 0.53/0.67 (P6(a1,f4(a1))), % 0.53/0.67 inference(equality_inference,[],[58])). % 0.53/0.67 cnf(61,plain, % 0.53/0.67 (E(f2(a1),x611)+~E(f4(a1),x611)), % 0.53/0.67 inference(scs_inference,[],[41,59,18,31])). % 0.53/0.67 cnf(65,plain, % 0.53/0.67 (E(f2(a1),f4(a1))), % 0.53/0.67 inference(equality_inference,[],[61])). % 0.53/0.67 cnf(66,plain, % 0.53/0.67 (P7(x661,f4(a1))+~E(a1,x661)), % 0.53/0.67 inference(scs_inference,[],[53,30,13])). % 0.53/0.67 cnf(67,plain, % 0.53/0.67 (P7(a1,f4(a1))), % 0.53/0.67 inference(equality_inference,[],[66])). % 0.53/0.67 cnf(68,plain, % 0.53/0.67 (E(f4(a1),f2(a1))), % 0.53/0.67 inference(scs_inference,[],[65,2])). % 0.53/0.67 cnf(92,plain, % 0.53/0.67 (E(f2(a1),f3(a1))), % 0.53/0.67 inference(scs_inference,[],[65,47,67,3,32])). % 0.53/0.67 cnf(95,plain, % 0.53/0.67 ($false), % 0.53/0.67 inference(scs_inference,[],[68,37,92,35,2,3,12]), % 0.53/0.67 ['proof']). % 0.53/0.67 % SZS output end Proof % 0.53/0.67 % Total time :0.070000s %------------------------------------------------------------------------------