%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : KRS175+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 : n026.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 10:08:47 EDT 2024 % Result : Theorem 0.67s 0.74s % Output : CNFRefutation 0.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS175+1 : TPTP v8.2.0. Released v3.1.0. % 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n026.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Wed Jun 19 13:09:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.56 start to proof:theBenchmark % 0.67/0.74 %------------------------------------------- % 0.67/0.74 % File :CSE---1.7 % 0.67/0.74 % Problem :theBenchmark % 0.67/0.74 % Transform :cnf % 0.67/0.74 % Format :tptp:raw % 0.67/0.74 % Command :java -jar mcs_scs.jar %d %s % 0.67/0.74 % 0.67/0.74 % Result :Theorem 0.140000s % 0.67/0.74 % Output :CNFRefutation 0.140000s % 0.67/0.74 %------------------------------------------- % 0.67/0.74 %------------------------------------------------------------------------------ % 0.67/0.74 % File : KRS175+1 : TPTP v8.2.0. Released v3.1.0. % 0.67/0.74 % Domain : Knowledge Representation (Semantic Web) % 0.67/0.74 % Problem : An inverse to test unionOf-003 % 0.67/0.74 % Version : Especial. % 0.67/0.74 % English : % 0.67/0.74 % 0.67/0.74 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe % 0.67/0.74 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW % 0.67/0.74 % Source : [Bec03] % 0.67/0.74 % Names : positive_unionOf-Manifest004 [Bec03] % 0.67/0.74 % 0.67/0.74 % Status : Theorem % 0.67/0.74 % Rating : 0.00 v5.4.0, 0.11 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.00 v3.1.0 % 0.67/0.74 % Syntax : Number of formulae : 15 ( 2 unt; 0 def) % 0.67/0.74 % Number of atoms : 43 ( 11 equ) % 0.67/0.74 % Maximal formula atoms : 9 ( 2 avg) % 0.67/0.74 % Number of connectives : 32 ( 4 ~; 2 |; 13 &) % 0.67/0.74 % ( 6 <=>; 7 =>; 0 <=; 0 <~>) % 0.67/0.74 % Maximal formula depth : 7 ( 4 avg) % 0.67/0.74 % Maximal term depth : 1 ( 1 avg) % 0.67/0.74 % Number of predicates : 8 ( 7 usr; 0 prp; 1-2 aty) % 0.67/0.74 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty) % 0.67/0.74 % Number of variables : 22 ( 22 !; 0 ?) % 0.67/0.74 % SPC : FOF_THM_EPR_SEQ % 0.67/0.74 % 0.67/0.74 % Comments : Sean Bechhofer says there are some errors in the encoding of % 0.67/0.74 % datatypes, so this problem may not be perfect. At least it's % 0.67/0.74 % still representative of the type of reasoning required for OWL. % 0.67/0.74 %------------------------------------------------------------------------------ % 0.67/0.74 fof(cA_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & cA(A) ) % 0.67/0.74 => cA(B) ) ). % 0.67/0.74 % 0.67/0.74 fof(cA_and_B_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & cA_and_B(A) ) % 0.67/0.74 => cA_and_B(B) ) ). % 0.67/0.74 % 0.67/0.74 fof(cB_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & cB(A) ) % 0.67/0.74 => cB(B) ) ). % 0.67/0.74 % 0.67/0.74 fof(cowlNothing_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & cowlNothing(A) ) % 0.67/0.74 => cowlNothing(B) ) ). % 0.67/0.74 % 0.67/0.74 fof(cowlThing_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & cowlThing(A) ) % 0.67/0.74 => cowlThing(B) ) ). % 0.67/0.74 % 0.67/0.74 fof(xsd_integer_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & xsd_integer(A) ) % 0.67/0.74 => xsd_integer(B) ) ). % 0.67/0.74 % 0.67/0.74 fof(xsd_string_substitution_1,axiom, % 0.67/0.74 ! [A,B] : % 0.67/0.74 ( ( A = B % 0.67/0.74 & xsd_string(A) ) % 0.67/0.74 => xsd_string(B) ) ). % 0.67/0.74 % 0.67/0.74 %----Thing and Nothing % 0.67/0.74 fof(axiom_0,axiom, % 0.67/0.74 ! [X] : % 0.67/0.74 ( cowlThing(X) % 0.67/0.74 & ~ cowlNothing(X) ) ). % 0.67/0.74 % 0.67/0.74 %----String and Integer disjoint % 0.67/0.74 fof(axiom_1,axiom, % 0.67/0.74 ! [X] : % 0.67/0.74 ( xsd_string(X) % 0.67/0.74 <=> ~ xsd_integer(X) ) ). % 0.67/0.74 % 0.67/0.74 %----Enumeration cA % 0.67/0.74 fof(axiom_2,axiom, % 0.67/0.74 ! [X] : % 0.67/0.74 ( cA(X) % 0.67/0.74 <=> X = ia ) ). % 0.67/0.74 % 0.67/0.74 %----Equality cA_and_B % 0.67/0.74 fof(axiom_3,axiom, % 0.67/0.74 ! [X] : % 0.67/0.74 ( cA_and_B(X) % 0.67/0.74 <=> ( cA(X) % 0.67/0.74 | cB(X) ) ) ). % 0.67/0.74 % 0.67/0.74 %----Enumeration cB % 0.67/0.74 fof(axiom_4,axiom, % 0.67/0.74 ! [X] : % 0.67/0.74 ( cB(X) % 0.67/0.74 <=> X = ib ) ). % 0.67/0.74 % 0.67/0.74 %----ia % 0.67/0.74 fof(axiom_5,axiom, % 0.67/0.74 cowlThing(ia) ). % 0.67/0.74 % 0.67/0.74 %----ib % 0.67/0.74 fof(axiom_6,axiom, % 0.67/0.74 cowlThing(ib) ). % 0.67/0.74 % 0.67/0.74 %----Thing and Nothing % 0.67/0.74 %----String and Integer disjoint % 0.67/0.74 %----Enumeration cA_and_B % 0.67/0.74 %----ia % 0.67/0.74 %----ib % 0.67/0.74 fof(the_axiom,conjecture, % 0.67/0.74 ( ! [X] : % 0.67/0.74 ( cowlThing(X) % 0.67/0.74 & ~ cowlNothing(X) ) % 0.67/0.74 & ! [X] : % 0.67/0.74 ( xsd_string(X) % 0.67/0.74 <=> ~ xsd_integer(X) ) % 0.67/0.74 & ! [X] : % 0.67/0.74 ( cA_and_B(X) % 0.67/0.74 <=> ( X = ib % 0.67/0.74 | X = ia ) ) % 0.67/0.74 & cowlThing(ia) % 0.67/0.74 & cowlThing(ib) ) ). % 0.67/0.74 % 0.67/0.74 %------------------------------------------------------------------------------ % 0.67/0.74 %------------------------------------------- % 0.67/0.74 % Proof found % 0.67/0.74 % SZS status Theorem for theBenchmark % 0.67/0.75 % SZS output start Proof % 0.67/0.75 %ClaNum:25(EqnAxiom:9) % 0.67/0.75 %VarNum:20(SingletonVarNum:10) % 0.67/0.75 %MaxLitNum:6 % 0.67/0.75 %MaxfuncDepth:0 % 0.67/0.75 %SharedTerms:16 % 0.67/0.75 %goalClause: 19 20 22 23 24 25 % 0.67/0.75 [10]~P1(x101) % 0.67/0.75 [11]P2(x111)+~E(x111,a1) % 0.67/0.75 [12]P3(x121)+~E(x121,a5) % 0.67/0.75 [13]~P2(x131)+E(x131,a1) % 0.67/0.75 [14]~P3(x141)+E(x141,a5) % 0.67/0.75 [15]P6(x151)+P5(x151) % 0.67/0.75 [16]~P2(x161)+P4(x161) % 0.67/0.75 [17]~P3(x171)+P4(x171) % 0.67/0.75 [18]~P6(x181)+~P5(x181) % 0.67/0.75 [21]P3(x211)+~P4(x211)+P2(x211) % 0.67/0.75 [22]P1(a3)+P5(a4)+~E(a2,a1)+~P4(a2)+~P6(a4) % 0.67/0.75 [23]P1(a3)+P5(a4)+~E(a2,a5)+~P4(a2)+~P6(a4) % 0.67/0.75 [24]~E(a2,a1)+P1(a3)+P6(a4)+~P4(a2)+~P5(a4) % 0.67/0.75 [25]~E(a2,a5)+P1(a3)+P6(a4)+~P4(a2)+~P5(a4) % 0.67/0.75 [19]E(a2,a1)+E(a2,a5)+P4(a2)+P1(a3)+P5(a4)+~P6(a4) % 0.67/0.75 [20]E(a2,a1)+E(a2,a5)+P4(a2)+P1(a3)+P6(a4)+~P5(a4) % 0.67/0.75 %EqnAxiom % 0.67/0.75 [1]E(x11,x11) % 0.67/0.75 [2]E(x22,x21)+~E(x21,x22) % 0.67/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.67/0.75 [4]~P1(x41)+P1(x42)+~E(x41,x42) % 0.67/0.75 [5]~P2(x51)+P2(x52)+~E(x51,x52) % 0.67/0.75 [6]~P3(x61)+P3(x62)+~E(x61,x62) % 0.67/0.75 [7]~P6(x71)+P6(x72)+~E(x71,x72) % 0.67/0.75 [8]~P4(x81)+P4(x82)+~E(x81,x82) % 0.67/0.75 [9]~P5(x91)+P5(x92)+~E(x91,x92) % 0.67/0.75 % 0.67/0.75 %------------------------------------------- % 0.67/0.75 cnf(26,plain, % 0.67/0.75 (P2(a1)), % 0.67/0.75 inference(equality_inference,[],[11])). % 0.67/0.75 cnf(27,plain, % 0.67/0.75 (P3(a5)), % 0.67/0.75 inference(equality_inference,[],[12])). % 0.67/0.75 cnf(28,plain, % 0.67/0.75 (~P1(x281)), % 0.67/0.75 inference(rename_variables,[],[10])). % 0.67/0.75 cnf(30,plain, % 0.67/0.75 (~E(a2,a5)+P5(a4)+~P6(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[10,28,23])). % 0.67/0.75 cnf(31,plain, % 0.67/0.75 (E(a2,a1)+E(a2,a5)+P4(a2)+P5(a4)+~P6(a4)), % 0.67/0.75 inference(scs_inference,[],[10,19])). % 0.67/0.75 cnf(32,plain, % 0.67/0.75 (E(a2,a1)+E(a2,a5)+P4(a2)+P6(a4)+~P5(a4)), % 0.67/0.75 inference(scs_inference,[],[10,20])). % 0.67/0.75 cnf(33,plain, % 0.67/0.75 (~E(a2,a1)+P5(a4)+~P4(a2)+~P6(a4)), % 0.67/0.75 inference(scs_inference,[],[10,22])). % 0.67/0.75 cnf(34,plain, % 0.67/0.75 (~E(a2,a1)+P6(a4)+~P4(a2)+~P5(a4)), % 0.67/0.75 inference(scs_inference,[],[10,24])). % 0.67/0.75 cnf(35,plain, % 0.67/0.75 (~E(a2,a5)+P6(a4)+~P4(a2)+~P5(a4)), % 0.67/0.75 inference(scs_inference,[],[10,25])). % 0.67/0.75 cnf(37,plain, % 0.67/0.75 (~E(a1,x371)+~P2(a1)+P4(x371)), % 0.67/0.75 inference(scs_inference,[],[26,16,8])). % 0.67/0.75 cnf(39,plain, % 0.67/0.75 (P4(x391)+~E(a1,x391)), % 0.67/0.75 inference(scs_inference,[],[26,37])). % 0.67/0.75 cnf(43,plain, % 0.67/0.75 (~E(a5,x431)+~P3(a5)+P4(x431)), % 0.67/0.75 inference(scs_inference,[],[27,17,8])). % 0.67/0.75 cnf(45,plain, % 0.67/0.75 (P4(x451)+~E(a5,x451)), % 0.67/0.75 inference(scs_inference,[],[27,43])). % 0.67/0.75 cnf(67,plain, % 0.67/0.75 (~E(a2,a1)+P6(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[15,34])). % 0.67/0.75 cnf(68,plain, % 0.67/0.75 (~E(a1,a2)+~P4(a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[67,2])). % 0.67/0.75 cnf(69,plain, % 0.67/0.75 (~E(a1,a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[68,39])). % 0.67/0.75 cnf(70,plain, % 0.67/0.75 (~E(a2,a1)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[69,2])). % 0.67/0.75 cnf(71,plain, % 0.67/0.75 (~P2(a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[70,13])). % 0.67/0.75 cnf(74,plain, % 0.67/0.75 (~E(a2,a5)+P5(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[15,30])). % 0.67/0.75 cnf(75,plain, % 0.67/0.75 (~E(a5,a2)+~P4(a2)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[74,2])). % 0.67/0.75 cnf(76,plain, % 0.67/0.75 (~E(a5,a2)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[75,45])). % 0.67/0.75 cnf(81,plain, % 0.67/0.75 (~E(a2,a5)+P6(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[15,35])). % 0.67/0.75 cnf(82,plain, % 0.67/0.75 (~E(a5,a2)+~P4(a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[81,2])). % 0.67/0.75 cnf(83,plain, % 0.67/0.75 (~E(a5,a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[82,45])). % 0.67/0.75 cnf(84,plain, % 0.67/0.75 (~E(a2,a5)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[83,2])). % 0.67/0.75 cnf(85,plain, % 0.67/0.75 (~P3(a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[84,14])). % 0.67/0.75 cnf(86,plain, % 0.67/0.75 (~P4(a2)+P2(a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[85,21])). % 0.67/0.75 cnf(87,plain, % 0.67/0.75 (~P4(a2)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[86,71])). % 0.67/0.75 cnf(88,plain, % 0.67/0.75 (~P5(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[87,18])). % 0.67/0.75 cnf(89,plain, % 0.67/0.75 (~E(a5,a2)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[88,76])). % 0.67/0.75 cnf(90,plain, % 0.67/0.75 (~E(a2,a5)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[89,2])). % 0.67/0.75 cnf(91,plain, % 0.67/0.75 (~P3(a2)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[90,14])). % 0.67/0.75 cnf(92,plain, % 0.67/0.75 (~P4(a2)+P2(a2)), % 0.67/0.75 inference(scs_inference,[],[91,21])). % 0.67/0.75 cnf(94,plain, % 0.67/0.75 (~E(a2,a1)+P5(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[15,33])). % 0.67/0.75 cnf(95,plain, % 0.67/0.75 (~E(a1,a2)+~P4(a2)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[94,2])). % 0.67/0.75 cnf(96,plain, % 0.67/0.75 (~E(a1,a2)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[95,39])). % 0.67/0.75 cnf(97,plain, % 0.67/0.75 (~E(a2,a1)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[96,2])). % 0.67/0.75 cnf(98,plain, % 0.67/0.75 (~P2(a2)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[97,13])). % 0.67/0.75 cnf(99,plain, % 0.67/0.75 (P5(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[98,92])). % 0.67/0.75 cnf(100,plain, % 0.67/0.75 (~P6(a4)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[99,18])). % 0.67/0.75 cnf(101,plain, % 0.67/0.75 (~E(a1,a2)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[100,69])). % 0.67/0.75 cnf(102,plain, % 0.67/0.75 (~E(a2,a1)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[101,2])). % 0.67/0.75 cnf(103,plain, % 0.67/0.75 (~P2(a2)+~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[102,13])). % 0.67/0.75 cnf(104,plain, % 0.67/0.75 (~P4(a2)), % 0.67/0.75 inference(scs_inference,[],[103,92])). % 0.67/0.75 cnf(105,plain, % 0.67/0.75 (E(a2,a1)+E(a2,a5)+P5(a4)+~P6(a4)), % 0.67/0.75 inference(scs_inference,[],[104,31])). % 0.67/0.75 cnf(106,plain, % 0.67/0.75 (E(a2,a1)+E(a2,a5)+P6(a4)+~P5(a4)), % 0.67/0.75 inference(scs_inference,[],[104,32])). % 0.67/0.75 cnf(107,plain, % 0.67/0.75 (~P2(a2)), % 0.67/0.75 inference(scs_inference,[],[104,16])). % 0.67/0.75 cnf(109,plain, % 0.67/0.75 (~P3(a2)), % 0.67/0.75 inference(scs_inference,[],[104,16,17])). % 0.67/0.75 cnf(111,plain, % 0.67/0.75 (E(a2,a1)+E(a2,a5)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[15,106])). % 0.67/0.75 cnf(112,plain, % 0.67/0.75 (E(a2,a5)+P6(a4)), % 0.67/0.75 inference(scs_inference,[],[107,111,11])). % 0.67/0.75 cnf(113,plain, % 0.67/0.75 (P6(a4)), % 0.67/0.75 inference(scs_inference,[],[109,112,12])). % 0.67/0.75 cnf(114,plain, % 0.67/0.75 (E(a2,a1)+E(a2,a5)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[113,105])). % 0.67/0.75 cnf(115,plain, % 0.67/0.75 (E(a2,a5)+P5(a4)), % 0.67/0.75 inference(scs_inference,[],[107,114,11])). % 0.67/0.75 cnf(116,plain, % 0.67/0.75 (P5(a4)), % 0.67/0.75 inference(scs_inference,[],[109,115,12])). % 0.67/0.75 cnf(117,plain, % 0.67/0.75 ($false), % 0.67/0.75 inference(scs_inference,[],[113,116,18]), % 0.67/0.75 ['proof']). % 0.67/0.75 % SZS output end Proof % 0.67/0.75 % Total time :0.140000s %------------------------------------------------------------------------------