%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS069+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 : n022.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 10:08:23 EDT 2024 % Result : Unsatisfiable 0.56s 0.73s % Output : CNFRefutation 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : KRS069+1 : TPTP v8.2.0. Released v3.1.0. % 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.15/0.37 % Computer : n022.cluster.edu % 0.15/0.37 % Model : x86_64 x86_64 % 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.37 % Memory : 8042.1875MB % 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.37 % CPULimit : 300 % 0.15/0.37 % WCLimit : 300 % 0.15/0.37 % DateTime : Wed Jun 19 13:55:09 EDT 2024 % 0.15/0.37 % CPUTime : % 0.23/0.59 start to proof:theBenchmark % 0.56/0.72 %------------------------------------------- % 0.56/0.72 % File :CSE---1.7 % 0.56/0.72 % Problem :theBenchmark % 0.56/0.72 % Transform :cnf % 0.56/0.72 % Format :tptp:raw % 0.56/0.72 % Command :java -jar mcs_scs.jar %d %s % 0.56/0.72 % 0.56/0.72 % Result :Theorem 0.080000s % 0.56/0.72 % Output :CNFRefutation 0.080000s % 0.56/0.72 %------------------------------------------- % 0.56/0.72 %------------------------------------------------------------------------------ % 0.56/0.72 % File : KRS069+1 : TPTP v8.2.0. Released v3.1.0. % 0.56/0.72 % Domain : Knowledge Representation (Semantic Web) % 0.56/0.72 % Problem : DL Test: fact3.1 % 0.56/0.72 % Version : Especial. % 0.56/0.72 % English : % 0.56/0.72 % 0.56/0.72 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.56/0.72 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.56/0.72 % Source : [Bec03] % 0.56/0.72 % Names : inconsistent_description-logic-Manifest003 [Bec03] % 0.56/0.72 % 0.56/0.72 % Status : Unsatisfiable % 0.56/0.72 % Rating : 0.00 v3.1.0 % 0.56/0.72 % Syntax : Number of formulae : 22 ( 1 unt; 0 def) % 0.56/0.72 % Number of atoms : 64 ( 16 equ) % 0.56/0.72 % Maximal formula atoms : 7 ( 2 avg) % 0.56/0.72 % Number of connectives : 45 ( 3 ~; 0 |; 22 &) % 0.56/0.72 % ( 2 <=>; 18 =>; 0 <=; 0 <~>) % 0.56/0.72 % Maximal formula depth : 8 ( 5 avg) % 0.56/0.72 % Maximal term depth : 1 ( 1 avg) % 0.56/0.72 % Number of predicates : 11 ( 10 usr; 0 prp; 1-2 aty) % 0.56/0.72 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty) % 0.56/0.72 % Number of variables : 51 ( 48 !; 3 ?) % 0.56/0.72 % SPC : FOF_UNS_RFO_SEQ % 0.56/0.72 % 0.56/0.72 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.56/0.72 % datatypes, so this problem may not be perfect. At least it's % 0.56/0.72 % still representative of the type of reasoning required for OWL. % 0.56/0.72 %------------------------------------------------------------------------------ % 0.56/0.72 fof(cUnsatisfiable_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & cUnsatisfiable(A) ) % 0.56/0.72 => cUnsatisfiable(B) ) ). % 0.56/0.72 % 0.56/0.72 fof(cowlNothing_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & cowlNothing(A) ) % 0.56/0.72 => cowlNothing(B) ) ). % 0.56/0.72 % 0.56/0.72 fof(cowlThing_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & cowlThing(A) ) % 0.56/0.72 => cowlThing(B) ) ). % 0.56/0.72 % 0.56/0.72 fof(cp1_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & cp1(A) ) % 0.56/0.72 => cp1(B) ) ). % 0.56/0.72 % 0.56/0.72 fof(cp2_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & cp2(A) ) % 0.56/0.72 => cp2(B) ) ). % 0.56/0.72 % 0.56/0.72 fof(rf1_substitution_1,axiom, % 0.56/0.72 ! [A,B,C] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & rf1(A,C) ) % 0.56/0.72 => rf1(B,C) ) ). % 0.56/0.72 % 0.56/0.72 fof(rf1_substitution_2,axiom, % 0.56/0.72 ! [A,B,C] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & rf1(C,A) ) % 0.56/0.72 => rf1(C,B) ) ). % 0.56/0.72 % 0.56/0.72 fof(rf2_substitution_1,axiom, % 0.56/0.72 ! [A,B,C] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & rf2(A,C) ) % 0.56/0.72 => rf2(B,C) ) ). % 0.56/0.72 % 0.56/0.72 fof(rf2_substitution_2,axiom, % 0.56/0.72 ! [A,B,C] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & rf2(C,A) ) % 0.56/0.72 => rf2(C,B) ) ). % 0.56/0.72 % 0.56/0.72 fof(rf3_substitution_1,axiom, % 0.56/0.72 ! [A,B,C] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & rf3(A,C) ) % 0.56/0.72 => rf3(B,C) ) ). % 0.56/0.72 % 0.56/0.72 fof(rf3_substitution_2,axiom, % 0.56/0.72 ! [A,B,C] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & rf3(C,A) ) % 0.56/0.72 => rf3(C,B) ) ). % 0.56/0.72 % 0.56/0.72 fof(xsd_integer_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & xsd_integer(A) ) % 0.56/0.72 => xsd_integer(B) ) ). % 0.56/0.72 % 0.56/0.72 fof(xsd_string_substitution_1,axiom, % 0.56/0.72 ! [A,B] : % 0.56/0.72 ( ( A = B % 0.56/0.72 & xsd_string(A) ) % 0.56/0.72 => xsd_string(B) ) ). % 0.56/0.72 % 0.56/0.72 %----Thing and Nothing % 0.56/0.72 fof(axiom_0,axiom, % 0.56/0.72 ! [X] : % 0.56/0.72 ( cowlThing(X) % 0.56/0.72 & ~ cowlNothing(X) ) ). % 0.56/0.72 % 0.56/0.72 %----String and Integer disjoint % 0.56/0.72 fof(axiom_1,axiom, % 0.56/0.72 ! [X] : % 0.56/0.72 ( xsd_string(X) % 0.56/0.72 <=> ~ xsd_integer(X) ) ). % 0.56/0.72 % 0.56/0.72 %----Equality cUnsatisfiable % 0.56/0.72 fof(axiom_2,axiom, % 0.56/0.72 ! [X] : % 0.56/0.72 ( cUnsatisfiable(X) % 0.56/0.72 <=> ( ? [Y] : % 0.56/0.72 ( rf1(X,Y) % 0.56/0.72 & cp1(Y) ) % 0.56/0.72 & ? [Y] : % 0.56/0.72 ( rf2(X,Y) % 0.56/0.72 & ~ cp1(Y) ) % 0.56/0.72 & ? [Y] : % 0.56/0.72 ( rf3(X,Y) % 0.56/0.72 & cp2(Y) ) ) ) ). % 0.56/0.72 % 0.56/0.72 %----Functional: rf1 % 0.56/0.72 fof(axiom_3,axiom, % 0.56/0.72 ! [X,Y,Z] : % 0.56/0.72 ( ( rf1(X,Y) % 0.56/0.72 & rf1(X,Z) ) % 0.56/0.72 => Y = Z ) ). % 0.56/0.72 % 0.56/0.72 %----Functional: rf2 % 0.56/0.72 fof(axiom_4,axiom, % 0.56/0.72 ! [X,Y,Z] : % 0.56/0.72 ( ( rf2(X,Y) % 0.56/0.72 & rf2(X,Z) ) % 0.56/0.72 => Y = Z ) ). % 0.56/0.73 % 0.56/0.73 %----Functional: rf3 % 0.56/0.73 fof(axiom_5,axiom, % 0.56/0.73 ! [X,Y,Z] : % 0.56/0.73 ( ( rf3(X,Y) % 0.56/0.73 & rf3(X,Z) ) % 0.56/0.73 => Y = Z ) ). % 0.56/0.73 % 0.56/0.73 %----i2003_11_14_17_18_2750 % 0.56/0.73 fof(axiom_6,axiom, % 0.56/0.73 cUnsatisfiable(i2003_11_14_17_18_2750) ). % 0.56/0.73 % 0.56/0.73 fof(axiom_7,axiom, % 0.56/0.73 ! [X,Y] : % 0.56/0.73 ( rf3(X,Y) % 0.56/0.73 => rf1(X,Y) ) ). % 0.56/0.73 % 0.56/0.73 fof(axiom_8,axiom, % 0.56/0.73 ! [X,Y] : % 0.56/0.73 ( rf3(X,Y) % 0.56/0.73 => rf2(X,Y) ) ). % 0.56/0.73 % 0.56/0.73 %------------------------------------------------------------------------------ % 0.56/0.73 %------------------------------------------- % 0.56/0.73 % Proof found % 0.56/0.73 % SZS status Theorem for theBenchmark % 0.56/0.73 % SZS output start Proof % 0.56/0.73 %ClaNum:34(EqnAxiom:18) % 0.56/0.73 %VarNum:56(SingletonVarNum:26) % 0.56/0.73 %MaxLitNum:7 % 0.56/0.73 %MaxfuncDepth:1 % 0.56/0.73 %SharedTerms:2 % 0.56/0.73 [19]P1(a1) % 0.56/0.73 [20]~P2(x201) % 0.56/0.73 [21]P9(x211)+P3(x211) % 0.56/0.73 [22]~P9(x221)+~P3(x221) % 0.56/0.73 [23]~P1(x231)+P4(f2(x231)) % 0.56/0.73 [24]~P1(x241)+P5(f3(x241)) % 0.56/0.73 [25]~P1(x251)+~P4(f4(x251)) % 0.56/0.73 [26]~P1(x261)+P6(x261,f2(x261)) % 0.56/0.73 [27]~P1(x271)+P7(x271,f4(x271)) % 0.56/0.73 [28]~P1(x281)+P8(x281,f3(x281)) % 0.56/0.73 [29]~P8(x291,x292)+P6(x291,x292) % 0.56/0.73 [30]~P8(x301,x302)+P7(x301,x302) % 0.56/0.73 [31]~P6(x313,x311)+E(x311,x312)+~P6(x313,x312) % 0.56/0.73 [32]~P7(x323,x321)+E(x321,x322)+~P7(x323,x322) % 0.56/0.73 [33]~P8(x333,x331)+E(x331,x332)+~P8(x333,x332) % 0.56/0.73 [34]~P6(x341,x343)+~P7(x341,x342)+~P8(x341,x344)+P1(x341)+P4(x342)+~P4(x343)+~P5(x344) % 0.56/0.73 %EqnAxiom % 0.56/0.73 [1]E(x11,x11) % 0.56/0.73 [2]E(x22,x21)+~E(x21,x22) % 0.56/0.73 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.56/0.73 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.56/0.73 [5]~E(x51,x52)+E(f3(x51),f3(x52)) % 0.56/0.73 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.56/0.73 [7]~P1(x71)+P1(x72)+~E(x71,x72) % 0.56/0.73 [8]~P2(x81)+P2(x82)+~E(x81,x82) % 0.56/0.73 [9]~P3(x91)+P3(x92)+~E(x91,x92) % 0.56/0.73 [10]~P9(x101)+P9(x102)+~E(x101,x102) % 0.56/0.73 [11]P8(x112,x113)+~E(x111,x112)+~P8(x111,x113) % 0.56/0.73 [12]P8(x123,x122)+~E(x121,x122)+~P8(x123,x121) % 0.56/0.73 [13]P7(x132,x133)+~E(x131,x132)+~P7(x131,x133) % 0.56/0.73 [14]P7(x143,x142)+~E(x141,x142)+~P7(x143,x141) % 0.56/0.73 [15]~P4(x151)+P4(x152)+~E(x151,x152) % 0.56/0.73 [16]P6(x162,x163)+~E(x161,x162)+~P6(x161,x163) % 0.56/0.73 [17]P6(x173,x172)+~E(x171,x172)+~P6(x173,x171) % 0.56/0.73 [18]~P5(x181)+P5(x182)+~E(x181,x182) % 0.56/0.73 % 0.56/0.73 %------------------------------------------- % 0.56/0.73 cnf(36,plain, % 0.56/0.73 (~E(a1,x361)+P4(f2(x361))), % 0.56/0.73 inference(scs_inference,[],[19,23,7])). % 0.56/0.73 cnf(37,plain, % 0.56/0.73 (P4(f2(a1))), % 0.56/0.73 inference(equality_inference,[],[36])). % 0.56/0.73 cnf(38,plain, % 0.56/0.73 (~E(a1,x381)+P5(f3(x381))), % 0.56/0.73 inference(scs_inference,[],[19,24,7])). % 0.56/0.73 cnf(39,plain, % 0.56/0.73 (P5(f3(a1))), % 0.56/0.73 inference(equality_inference,[],[38])). % 0.56/0.73 cnf(40,plain, % 0.56/0.73 (~E(a1,x401)+~P4(f4(x401))), % 0.56/0.73 inference(scs_inference,[],[19,25,7])). % 0.56/0.73 cnf(41,plain, % 0.56/0.73 (~P4(f4(a1))), % 0.56/0.73 inference(equality_inference,[],[40])). % 0.56/0.73 cnf(44,plain, % 0.56/0.73 (~E(a1,x441)+P6(x441,f2(x441))), % 0.56/0.73 inference(scs_inference,[],[19,26,7])). % 0.56/0.73 cnf(45,plain, % 0.56/0.73 (P6(a1,f2(a1))), % 0.56/0.73 inference(equality_inference,[],[44])). % 0.56/0.73 cnf(50,plain, % 0.56/0.73 (~E(a1,x501)+P7(x501,f4(x501))), % 0.56/0.73 inference(scs_inference,[],[19,27,7])). % 0.56/0.73 cnf(51,plain, % 0.56/0.73 (P7(a1,f4(a1))), % 0.56/0.73 inference(equality_inference,[],[50])). % 0.56/0.73 cnf(56,plain, % 0.56/0.73 (~E(a1,x561)+P8(x561,f3(x561))), % 0.56/0.73 inference(scs_inference,[],[19,28,7])). % 0.56/0.73 cnf(57,plain, % 0.56/0.73 (P8(a1,f3(a1))), % 0.56/0.73 inference(equality_inference,[],[56])). % 0.56/0.73 cnf(62,plain, % 0.56/0.73 (P6(x621,f3(a1))+~E(a1,x621)), % 0.56/0.73 inference(scs_inference,[],[57,29,16])). % 0.56/0.73 cnf(63,plain, % 0.56/0.73 (P6(a1,f3(a1))), % 0.56/0.73 inference(equality_inference,[],[62])). % 0.56/0.73 cnf(65,plain, % 0.56/0.73 (E(f2(a1),x651)+~E(f3(a1),x651)), % 0.56/0.73 inference(scs_inference,[],[45,63,17,31])). % 0.56/0.73 cnf(69,plain, % 0.56/0.73 (E(f2(a1),f3(a1))), % 0.56/0.73 inference(equality_inference,[],[65])). % 0.56/0.73 cnf(70,plain, % 0.56/0.73 (P7(x701,f3(a1))+~E(a1,x701)), % 0.56/0.73 inference(scs_inference,[],[57,30,13])). % 0.56/0.73 cnf(71,plain, % 0.56/0.73 (P7(a1,f3(a1))), % 0.56/0.73 inference(equality_inference,[],[70])). % 0.56/0.73 cnf(74,plain, % 0.56/0.73 (P4(f3(a1))), % 0.56/0.73 inference(scs_inference,[],[39,69,37,2,18,15])). % 0.56/0.73 cnf(76,plain, % 0.56/0.73 (P7(a1,f2(a1))), % 0.56/0.73 inference(scs_inference,[],[57,39,69,71,37,2,18,15,12,14])). % 0.56/0.73 cnf(102,plain, % 0.56/0.73 (E(f4(a1),f3(a1))), % 0.56/0.73 inference(scs_inference,[],[69,76,51,3,32])). % 0.56/0.73 cnf(105,plain, % 0.56/0.73 ($false), % 0.56/0.73 inference(scs_inference,[],[69,74,102,41,2,3,15]), % 0.56/0.73 ['proof']). % 0.56/0.73 % SZS output end Proof % 0.56/0.73 % Total time :0.080000s %------------------------------------------------------------------------------