%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS075+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 : n023.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 10:08:24 EDT 2024 % Result : Unsatisfiable 0.55s 0.69s % Output : CNFRefutation 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS075+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 % 0.11/0.33 % Computer : n023.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 14:17:54 EDT 2024 % 0.11/0.34 % CPUTime : % 0.19/0.53 start to proof:theBenchmark % 0.55/0.68 %------------------------------------------- % 0.55/0.68 % File :CSE---1.7 % 0.55/0.68 % Problem :theBenchmark % 0.55/0.68 % Transform :cnf % 0.55/0.68 % Format :tptp:raw % 0.55/0.68 % Command :java -jar mcs_scs.jar %d %s % 0.55/0.68 % 0.55/0.68 % Result :Theorem 0.110000s % 0.55/0.68 % Output :CNFRefutation 0.110000s % 0.55/0.68 %------------------------------------------- % 0.55/0.69 %------------------------------------------------------------------------------ % 0.55/0.69 % File : KRS075+1 : TPTP v8.2.0. Released v3.1.0. % 0.55/0.69 % Domain : Knowledge Representation (Semantic Web) % 0.55/0.69 % Problem : DL Test: t10.4 % 0.55/0.69 % Version : Especial. % 0.55/0.69 % English : % 0.55/0.69 % 0.55/0.69 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.55/0.69 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.55/0.69 % Source : [Bec03] % 0.55/0.69 % Names : inconsistent_description-logic-Manifest012 [Bec03] % 0.55/0.69 % 0.55/0.69 % Status : Unsatisfiable % 0.55/0.69 % Rating : 0.00 v3.1.0 % 0.55/0.69 % Syntax : Number of formulae : 30 ( 1 unt; 0 def) % 0.55/0.69 % Number of atoms : 85 ( 21 equ) % 0.55/0.69 % Maximal formula atoms : 7 ( 2 avg) % 0.55/0.69 % Number of connectives : 58 ( 3 ~; 0 |; 27 &) % 0.55/0.69 % ( 5 <=>; 23 =>; 0 <=; 0 <~>) % 0.55/0.69 % Maximal formula depth : 7 ( 5 avg) % 0.55/0.69 % Maximal term depth : 1 ( 1 avg) % 0.55/0.69 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty) % 0.55/0.69 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.55/0.69 % Number of variables : 73 ( 70 !; 3 ?) % 0.55/0.69 % SPC : FOF_UNS_RFO_SEQ % 0.55/0.69 % 0.55/0.69 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.55/0.69 % datatypes, so this problem may not be perfect. At least it's % 0.55/0.69 % still representative of the type of reasoning required for OWL. % 0.55/0.69 %------------------------------------------------------------------------------ % 0.55/0.69 fof(cUnsatisfiable_substitution_1,axiom, % 0.55/0.69 ! [A,B] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & cUnsatisfiable(A) ) % 0.55/0.69 => cUnsatisfiable(B) ) ). % 0.55/0.69 % 0.55/0.69 fof(cowlNothing_substitution_1,axiom, % 0.55/0.69 ! [A,B] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & cowlNothing(A) ) % 0.55/0.69 => cowlNothing(B) ) ). % 0.55/0.69 % 0.55/0.69 fof(cowlThing_substitution_1,axiom, % 0.55/0.69 ! [A,B] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & cowlThing(A) ) % 0.55/0.69 => cowlThing(B) ) ). % 0.55/0.69 % 0.55/0.69 fof(cp_substitution_1,axiom, % 0.55/0.69 ! [A,B] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & cp(A) ) % 0.55/0.69 => cp(B) ) ). % 0.55/0.69 % 0.55/0.69 fof(rf_substitution_1,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rf(A,C) ) % 0.55/0.69 => rf(B,C) ) ). % 0.55/0.69 % 0.55/0.69 fof(rf_substitution_2,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rf(C,A) ) % 0.55/0.69 => rf(C,B) ) ). % 0.55/0.69 % 0.55/0.69 fof(rf1_substitution_1,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rf1(A,C) ) % 0.55/0.69 => rf1(B,C) ) ). % 0.55/0.69 % 0.55/0.69 fof(rf1_substitution_2,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rf1(C,A) ) % 0.55/0.69 => rf1(C,B) ) ). % 0.55/0.69 % 0.55/0.69 fof(rinvF_substitution_1,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rinvF(A,C) ) % 0.55/0.69 => rinvF(B,C) ) ). % 0.55/0.69 % 0.55/0.69 fof(rinvF_substitution_2,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rinvF(C,A) ) % 0.55/0.69 => rinvF(C,B) ) ). % 0.55/0.69 % 0.55/0.69 fof(rinvF1_substitution_1,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rinvF1(A,C) ) % 0.55/0.69 => rinvF1(B,C) ) ). % 0.55/0.69 % 0.55/0.69 fof(rinvF1_substitution_2,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rinvF1(C,A) ) % 0.55/0.69 => rinvF1(C,B) ) ). % 0.55/0.69 % 0.55/0.69 fof(rinvS_substitution_1,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rinvS(A,C) ) % 0.55/0.69 => rinvS(B,C) ) ). % 0.55/0.69 % 0.55/0.69 fof(rinvS_substitution_2,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rinvS(C,A) ) % 0.55/0.69 => rinvS(C,B) ) ). % 0.55/0.69 % 0.55/0.69 fof(rs_substitution_1,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rs(A,C) ) % 0.55/0.69 => rs(B,C) ) ). % 0.55/0.69 % 0.55/0.69 fof(rs_substitution_2,axiom, % 0.55/0.69 ! [A,B,C] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & rs(C,A) ) % 0.55/0.69 => rs(C,B) ) ). % 0.55/0.69 % 0.55/0.69 fof(xsd_integer_substitution_1,axiom, % 0.55/0.69 ! [A,B] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & xsd_integer(A) ) % 0.55/0.69 => xsd_integer(B) ) ). % 0.55/0.69 % 0.55/0.69 fof(xsd_string_substitution_1,axiom, % 0.55/0.69 ! [A,B] : % 0.55/0.69 ( ( A = B % 0.55/0.69 & xsd_string(A) ) % 0.55/0.69 => xsd_string(B) ) ). % 0.55/0.69 % 0.55/0.69 %----Thing and Nothing % 0.55/0.69 fof(axiom_0,axiom, % 0.55/0.69 ! [X] : % 0.55/0.69 ( cowlThing(X) % 0.55/0.69 & ~ cowlNothing(X) ) ). % 0.55/0.69 % 0.55/0.69 %----String and Integer disjoint % 0.55/0.69 fof(axiom_1,axiom, % 0.55/0.69 ! [X] : % 0.55/0.69 ( xsd_string(X) % 0.55/0.69 <=> ~ xsd_integer(X) ) ). % 0.55/0.69 % 0.55/0.69 %----Equality cUnsatisfiable % 0.55/0.69 fof(axiom_2,axiom, % 0.55/0.69 ! [X] : % 0.55/0.69 ( cUnsatisfiable(X) % 0.55/0.69 <=> ( ? [Y] : % 0.55/0.69 ( rf1(X,Y) % 0.55/0.69 & ~ cp(Y) ) % 0.55/0.69 & ? [Y] : % 0.55/0.69 ( rs(X,Y) % 0.55/0.69 & cowlThing(Y) ) % 0.55/0.69 & ? [Y] : % 0.55/0.69 ( rf(X,Y) % 0.55/0.69 & cp(Y) ) ) ) ). % 0.55/0.69 % 0.55/0.69 %----Functional: rf % 0.55/0.69 fof(axiom_3,axiom, % 0.55/0.69 ! [X,Y,Z] : % 0.55/0.69 ( ( rf(X,Y) % 0.55/0.69 & rf(X,Z) ) % 0.55/0.69 => Y = Z ) ). % 0.55/0.69 % 0.55/0.69 %----Functional: rf1 % 0.55/0.69 fof(axiom_4,axiom, % 0.55/0.69 ! [X,Y,Z] : % 0.55/0.69 ( ( rf1(X,Y) % 0.55/0.69 & rf1(X,Z) ) % 0.55/0.69 => Y = Z ) ). % 0.55/0.69 % 0.55/0.69 %----Inverse: rinvF % 0.55/0.69 fof(axiom_5,axiom, % 0.55/0.69 ! [X,Y] : % 0.55/0.69 ( rinvF(X,Y) % 0.55/0.69 <=> rf(Y,X) ) ). % 0.55/0.69 % 0.55/0.69 %----Inverse: rinvF1 % 0.55/0.69 fof(axiom_6,axiom, % 0.55/0.69 ! [X,Y] : % 0.55/0.69 ( rinvF1(X,Y) % 0.55/0.69 <=> rf1(Y,X) ) ). % 0.55/0.69 % 0.55/0.69 %----Inverse: rinvS % 0.55/0.69 fof(axiom_7,axiom, % 0.55/0.69 ! [X,Y] : % 0.55/0.69 ( rinvS(X,Y) % 0.55/0.69 <=> rs(Y,X) ) ). % 0.55/0.69 % 0.55/0.69 %----Functional: rs % 0.55/0.69 fof(axiom_8,axiom, % 0.55/0.69 ! [X,Y,Z] : % 0.55/0.69 ( ( rs(X,Y) % 0.55/0.69 & rs(X,Z) ) % 0.55/0.69 => Y = Z ) ). % 0.55/0.69 % 0.55/0.69 %----i2003_11_14_17_19_02584 % 0.55/0.69 fof(axiom_9,axiom, % 0.55/0.69 cUnsatisfiable(i2003_11_14_17_19_02584) ). % 0.55/0.69 % 0.55/0.69 fof(axiom_10,axiom, % 0.55/0.69 ! [X,Y] : % 0.55/0.69 ( rs(X,Y) % 0.55/0.69 => rf1(X,Y) ) ). % 0.55/0.69 % 0.55/0.69 fof(axiom_11,axiom, % 0.55/0.69 ! [X,Y] : % 0.55/0.69 ( rs(X,Y) % 0.55/0.69 => rf(X,Y) ) ). % 0.55/0.69 % 0.55/0.69 %------------------------------------------------------------------------------ % 0.55/0.69 %------------------------------------------- % 0.55/0.69 % Proof found % 0.55/0.69 % SZS status Theorem for theBenchmark % 0.55/0.69 % SZS output start Proof % 0.55/0.69 %ClaNum:44(EqnAxiom:23) % 0.55/0.69 %VarNum:77(SingletonVarNum:37) % 0.55/0.69 %MaxLitNum:6 % 0.55/0.69 %MaxfuncDepth:1 % 0.55/0.69 %SharedTerms:2 % 0.55/0.69 [24]P1(a1) % 0.55/0.69 [25]~P2(x251) % 0.55/0.69 [26]P11(x261)+P3(x261) % 0.55/0.69 [27]~P11(x271)+~P3(x271) % 0.55/0.69 [28]~P1(x281)+P4(f2(x281)) % 0.55/0.69 [29]~P1(x291)+~P4(f3(x291)) % 0.55/0.69 [30]~P1(x301)+P5(x301,f2(x301)) % 0.55/0.69 [31]~P1(x311)+P6(x311,f3(x311)) % 0.55/0.69 [32]~P1(x321)+P7(x321,f4(x321)) % 0.55/0.69 [33]~P8(x332,x331)+P5(x331,x332) % 0.55/0.69 [34]~P7(x341,x342)+P5(x341,x342) % 0.55/0.69 [35]~P9(x352,x351)+P6(x351,x352) % 0.55/0.69 [36]~P7(x361,x362)+P6(x361,x362) % 0.55/0.69 [37]~P5(x372,x371)+P8(x371,x372) % 0.55/0.69 [38]~P6(x382,x381)+P9(x381,x382) % 0.55/0.69 [39]~P7(x392,x391)+P10(x391,x392) % 0.55/0.69 [40]~P10(x402,x401)+P7(x401,x402) % 0.55/0.69 [41]~P5(x413,x411)+E(x411,x412)+~P5(x413,x412) % 0.55/0.69 [42]~P6(x423,x421)+E(x421,x422)+~P6(x423,x422) % 0.55/0.69 [43]~P7(x433,x431)+E(x431,x432)+~P7(x433,x432) % 0.55/0.69 [44]~P5(x441,x443)+~P6(x441,x442)+P1(x441)+P4(x442)+~P7(x441,x444)+~P4(x443) % 0.55/0.69 %EqnAxiom % 0.55/0.69 [1]E(x11,x11) % 0.55/0.69 [2]E(x22,x21)+~E(x21,x22) % 0.55/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.55/0.70 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.55/0.70 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.55/0.70 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.55/0.70 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.55/0.70 [8]~P2(x81)+P2(x82)+~E(x81,x82) % 0.55/0.70 [9]~P3(x91)+P3(x92)+~E(x91,x92) % 0.55/0.70 [10]~P11(x101)+P11(x102)+~E(x101,x102) % 0.55/0.70 [11]P7(x112,x113)+~E(x111,x112)+~P7(x111,x113) % 0.55/0.70 [12]P7(x123,x122)+~E(x121,x122)+~P7(x123,x121) % 0.55/0.70 [13]P6(x132,x133)+~E(x131,x132)+~P6(x131,x133) % 0.55/0.70 [14]P6(x143,x142)+~E(x141,x142)+~P6(x143,x141) % 0.55/0.70 [15]~P4(x151)+P4(x152)+~E(x151,x152) % 0.55/0.70 [16]P10(x162,x163)+~E(x161,x162)+~P10(x161,x163) % 0.55/0.70 [17]P10(x173,x172)+~E(x171,x172)+~P10(x173,x171) % 0.55/0.70 [18]P9(x182,x183)+~E(x181,x182)+~P9(x181,x183) % 0.55/0.70 [19]P9(x193,x192)+~E(x191,x192)+~P9(x193,x191) % 0.55/0.70 [20]P5(x202,x203)+~E(x201,x202)+~P5(x201,x203) % 0.55/0.70 [21]P5(x213,x212)+~E(x211,x212)+~P5(x213,x211) % 0.55/0.70 [22]P8(x222,x223)+~E(x221,x222)+~P8(x221,x223) % 0.55/0.70 [23]P8(x233,x232)+~E(x231,x232)+~P8(x233,x231) % 0.55/0.70 % 0.55/0.70 %------------------------------------------- % 0.55/0.70 cnf(46,plain, % 0.55/0.70 (~E(a1,x461)+P4(f2(x461))), % 0.55/0.70 inference(scs_inference,[],[24,28,7])). % 0.55/0.70 cnf(47,plain, % 0.55/0.70 (P4(f2(a1))), % 0.55/0.70 inference(equality_inference,[],[46])). % 0.55/0.70 cnf(48,plain, % 0.55/0.70 (~E(a1,x481)+~P4(f3(x481))), % 0.55/0.70 inference(scs_inference,[],[24,29,7])). % 0.55/0.70 cnf(49,plain, % 0.55/0.70 (~P4(f3(a1))), % 0.55/0.70 inference(equality_inference,[],[48])). % 0.55/0.70 cnf(52,plain, % 0.55/0.70 (~E(a1,x521)+P5(x521,f2(x521))), % 0.55/0.70 inference(scs_inference,[],[24,30,7])). % 0.55/0.70 cnf(53,plain, % 0.55/0.70 (P5(a1,f2(a1))), % 0.55/0.70 inference(equality_inference,[],[52])). % 0.55/0.70 cnf(58,plain, % 0.55/0.70 (~E(a1,x581)+P6(x581,f3(x581))), % 0.55/0.70 inference(scs_inference,[],[24,31,7])). % 0.55/0.70 cnf(59,plain, % 0.55/0.70 (P6(a1,f3(a1))), % 0.55/0.70 inference(equality_inference,[],[58])). % 0.55/0.70 cnf(64,plain, % 0.55/0.70 (~E(a1,x641)+P7(x641,f4(x641))), % 0.55/0.70 inference(scs_inference,[],[24,32,7])). % 0.55/0.70 cnf(65,plain, % 0.55/0.70 (P7(a1,f4(a1))), % 0.55/0.70 inference(equality_inference,[],[64])). % 0.55/0.70 cnf(77,plain, % 0.55/0.70 (P9(f4(a1),a1)), % 0.55/0.70 inference(scs_inference,[],[65,36,38])). % 0.55/0.70 cnf(82,plain, % 0.55/0.70 (P10(x821,a1)+~E(f4(a1),x821)), % 0.55/0.70 inference(scs_inference,[],[65,39,16])). % 0.55/0.70 cnf(83,plain, % 0.55/0.70 (P10(f4(a1),a1)), % 0.55/0.70 inference(equality_inference,[],[82])). % 0.55/0.70 cnf(87,plain, % 0.55/0.70 (P5(a1,f4(a1))), % 0.55/0.70 inference(scs_inference,[],[83,40,34])). % 0.55/0.70 cnf(89,plain, % 0.55/0.70 (E(f2(a1),x891)+~E(f4(a1),x891)), % 0.55/0.70 inference(scs_inference,[],[53,87,21,41])). % 0.55/0.70 cnf(93,plain, % 0.55/0.70 (E(f2(a1),f4(a1))), % 0.55/0.70 inference(equality_inference,[],[89])). % 0.55/0.70 cnf(129,plain, % 0.55/0.70 (E(f2(a1),f3(a1))+~P6(a1,f4(a1))), % 0.55/0.70 inference(scs_inference,[],[93,59,3,42])). % 0.55/0.70 cnf(130,plain, % 0.55/0.70 (~P6(a1,f4(a1))), % 0.55/0.70 inference(scs_inference,[],[47,49,129,15])). % 0.55/0.70 cnf(131,plain, % 0.55/0.70 ($false), % 0.55/0.70 inference(scs_inference,[],[77,130,35]), % 0.55/0.70 ['proof']). % 0.55/0.70 % SZS output end Proof % 0.55/0.70 % Total time :0.110000s %------------------------------------------------------------------------------