TSTP Solution File: KRS119+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 : Thu Aug 31 05:39:20 EDT 2023
% Result : Unsatisfiable 0.22s 0.68s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.14/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 01:10:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 0.22/0.67 %-------------------------------------------
% 0.22/0.67 % File :CSE---1.6
% 0.22/0.67 % Problem :theBenchmark
% 0.22/0.67 % Transform :cnf
% 0.22/0.67 % Format :tptp:raw
% 0.22/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.67
% 0.22/0.67 % Result :Theorem 0.000000s
% 0.22/0.67 % Output :CNFRefutation 0.000000s
% 0.22/0.67 %-------------------------------------------
% 0.22/0.67 %------------------------------------------------------------------------------
% 0.22/0.67 % File : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.22/0.67 % Domain : Knowledge Representation (Semantic Web)
% 0.22/0.67 % Problem : DL Test: t7.2
% 0.22/0.67 % Version : Especial.
% 0.22/0.67 % English :
% 0.22/0.67
% 0.22/0.67 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.22/0.67 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.22/0.67 % Source : [Bec03]
% 0.22/0.67 % Names : inconsistent_description-logic-Manifest629 [Bec03]
% 0.22/0.67
% 0.22/0.67 % Status : Unsatisfiable
% 0.22/0.67 % Rating : 0.00 v3.1.0
% 0.22/0.67 % Syntax : Number of formulae : 31 ( 1 unt; 0 def)
% 0.22/0.67 % Number of atoms : 88 ( 20 equ)
% 0.22/0.67 % Maximal formula atoms : 4 ( 2 avg)
% 0.22/0.67 % Number of connectives : 60 ( 3 ~; 0 |; 26 &)
% 0.22/0.67 % ( 8 <=>; 23 =>; 0 <=; 0 <~>)
% 0.22/0.67 % Maximal formula depth : 7 ( 5 avg)
% 0.22/0.67 % Maximal term depth : 1 ( 1 avg)
% 0.22/0.67 % Number of predicates : 15 ( 14 usr; 0 prp; 1-2 aty)
% 0.22/0.67 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.22/0.67 % Number of variables : 70 ( 66 !; 4 ?)
% 0.22/0.67 % SPC : FOF_UNS_RFO_SEQ
% 0.22/0.67
% 0.22/0.67 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.22/0.67 % datatypes, so this problem may not be perfect. At least it's
% 0.22/0.67 % still representative of the type of reasoning required for OWL.
% 0.22/0.67 %------------------------------------------------------------------------------
% 0.22/0.67 fof(cUnsatisfiable_substitution_1,axiom,
% 0.22/0.67 ! [A,B] :
% 0.22/0.67 ( ( A = B
% 0.22/0.67 & cUnsatisfiable(A) )
% 0.22/0.67 => cUnsatisfiable(B) ) ).
% 0.22/0.67
% 0.22/0.67 fof(ca_Ax2_substitution_1,axiom,
% 0.22/0.67 ! [A,B] :
% 0.22/0.67 ( ( A = B
% 0.22/0.67 & ca_Ax2(A) )
% 0.22/0.67 => ca_Ax2(B) ) ).
% 0.22/0.67
% 0.22/0.67 fof(ca_Vx3_substitution_1,axiom,
% 0.22/0.67 ! [A,B] :
% 0.22/0.67 ( ( A = B
% 0.22/0.67 & ca_Vx3(A) )
% 0.22/0.67 => ca_Vx3(B) ) ).
% 0.22/0.67
% 0.22/0.67 fof(cowlNothing_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cowlNothing(A) )
% 0.22/0.68 => cowlNothing(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cowlThing_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cowlThing(A) )
% 0.22/0.68 => cowlThing(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp1_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp1(A) )
% 0.22/0.68 => cp1(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(cp1xcomp_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & cp1xcomp(A) )
% 0.22/0.68 => cp1xcomp(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ra_Px1_substitution_1,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ra_Px1(A,C) )
% 0.22/0.68 => ra_Px1(B,C) ) ).
% 0.22/0.68
% 0.22/0.68 fof(ra_Px1_substitution_2,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & ra_Px1(C,A) )
% 0.22/0.68 => ra_Px1(C,B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rf_substitution_1,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rf(A,C) )
% 0.22/0.68 => rf(B,C) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rf_substitution_2,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rf(C,A) )
% 0.22/0.68 => rf(C,B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rinvF_substitution_1,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rinvF(A,C) )
% 0.22/0.68 => rinvF(B,C) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rinvF_substitution_2,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rinvF(C,A) )
% 0.22/0.68 => rinvF(C,B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rinvR_substitution_1,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rinvR(A,C) )
% 0.22/0.68 => rinvR(B,C) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rinvR_substitution_2,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rinvR(C,A) )
% 0.22/0.68 => rinvR(C,B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rr_substitution_1,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rr(A,C) )
% 0.22/0.68 => rr(B,C) ) ).
% 0.22/0.68
% 0.22/0.68 fof(rr_substitution_2,axiom,
% 0.22/0.68 ! [A,B,C] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & rr(C,A) )
% 0.22/0.68 => rr(C,B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(xsd_integer_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & xsd_integer(A) )
% 0.22/0.68 => xsd_integer(B) ) ).
% 0.22/0.68
% 0.22/0.68 fof(xsd_string_substitution_1,axiom,
% 0.22/0.68 ! [A,B] :
% 0.22/0.68 ( ( A = B
% 0.22/0.68 & xsd_string(A) )
% 0.22/0.68 => xsd_string(B) ) ).
% 0.22/0.68
% 0.22/0.68 %----Thing and Nothing
% 0.22/0.68 fof(axiom_0,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( cowlThing(X)
% 0.22/0.68 & ~ cowlNothing(X) ) ).
% 0.22/0.68
% 0.22/0.68 %----String and Integer disjoint
% 0.22/0.68 fof(axiom_1,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( xsd_string(X)
% 0.22/0.68 <=> ~ xsd_integer(X) ) ).
% 0.22/0.68
% 0.22/0.68 %----Equality cUnsatisfiable
% 0.22/0.68 fof(axiom_2,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( cUnsatisfiable(X)
% 0.22/0.68 <=> ( ? [Y] :
% 0.22/0.68 ( rr(X,Y)
% 0.22/0.68 & ca_Vx3(Y) )
% 0.22/0.68 & cp1(X) ) ) ).
% 0.22/0.68
% 0.22/0.68 %----Equality cp1
% 0.22/0.68 fof(axiom_3,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( cp1(X)
% 0.22/0.68 <=> ~ ? [Y] : ra_Px1(X,Y) ) ).
% 0.22/0.68
% 0.22/0.68 %----Equality cp1xcomp
% 0.22/0.68 fof(axiom_4,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( cp1xcomp(X)
% 0.22/0.68 <=> ? [Y0] : ra_Px1(X,Y0) ) ).
% 0.22/0.68
% 0.22/0.68 %----Equality ca_Ax2
% 0.22/0.68 fof(axiom_5,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( ca_Ax2(X)
% 0.22/0.68 <=> ( cp1(X)
% 0.22/0.68 & ! [Y] :
% 0.22/0.68 ( rinvR(X,Y)
% 0.22/0.68 => cp1xcomp(Y) ) ) ) ).
% 0.22/0.68
% 0.22/0.68 %----Equality ca_Vx3
% 0.22/0.68 fof(axiom_6,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( ca_Vx3(X)
% 0.22/0.68 <=> ? [Y] :
% 0.22/0.68 ( rr(X,Y)
% 0.22/0.68 & ca_Ax2(Y) ) ) ).
% 0.22/0.68
% 0.22/0.68 %----Super cowlThing
% 0.22/0.68 fof(axiom_7,axiom,
% 0.22/0.68 ! [X] :
% 0.22/0.68 ( cowlThing(X)
% 0.22/0.68 => ! [Y0,Y1] :
% 0.22/0.68 ( ( rf(X,Y0)
% 0.22/0.68 & rf(X,Y1) )
% 0.22/0.68 => Y0 = Y1 ) ) ).
% 0.22/0.68
% 0.22/0.68 %----Inverse: rinvF
% 0.22/0.68 fof(axiom_8,axiom,
% 0.22/0.68 ! [X,Y] :
% 0.22/0.68 ( rinvF(X,Y)
% 0.22/0.68 <=> rf(Y,X) ) ).
% 0.22/0.68
% 0.22/0.68 %----Inverse: rinvR
% 0.22/0.68 fof(axiom_9,axiom,
% 0.22/0.68 ! [X,Y] :
% 0.22/0.68 ( rinvR(X,Y)
% 0.22/0.68 <=> rr(Y,X) ) ).
% 0.22/0.68
% 0.22/0.68 %----Transitive: rr
% 0.22/0.68 fof(axiom_10,axiom,
% 0.22/0.68 ! [X,Y,Z] :
% 0.22/0.68 ( ( rr(X,Y)
% 0.22/0.68 & rr(Y,Z) )
% 0.22/0.68 => rr(X,Z) ) ).
% 0.22/0.68
% 0.22/0.68 %----i2003_11_14_17_21_44786
% 0.22/0.68 fof(axiom_11,axiom,
% 0.22/0.68 cUnsatisfiable(i2003_11_14_17_21_44786) ).
% 0.22/0.68
% 0.22/0.68 %------------------------------------------------------------------------------
% 0.22/0.68 %-------------------------------------------
% 0.22/0.68 % Proof found
% 0.22/0.68 % SZS status Theorem for theBenchmark
% 0.22/0.68 % SZS output start Proof
% 0.22/0.68 %ClaNum:51(EqnAxiom:26)
% 0.22/0.68 %VarNum:79(SingletonVarNum:37)
% 0.22/0.68 %MaxLitNum:4
% 0.22/0.68 %MaxfuncDepth:1
% 0.22/0.68 %SharedTerms:2
% 0.22/0.68 [27]P1(a1)
% 0.22/0.68 [28]~P2(x281)
% 0.22/0.68 [29]P13(x291)+P5(x291)
% 0.22/0.68 [30]~P1(x301)+P6(x301)
% 0.22/0.68 [31]~P3(x311)+P6(x311)
% 0.22/0.68 [32]~P13(x321)+~P5(x321)
% 0.22/0.68 [33]~P4(x331)+P3(f2(x331))
% 0.22/0.68 [34]~P1(x341)+P4(f3(x341))
% 0.22/0.68 [35]P6(x351)+P7(x351,f4(x351))
% 0.22/0.68 [37]~P8(x371)+P7(x371,f5(x371))
% 0.22/0.68 [38]~P1(x381)+P9(x381,f3(x381))
% 0.22/0.68 [39]~P4(x391)+P9(x391,f2(x391))
% 0.22/0.68 [36]P8(x361)+~P7(x361,x362)
% 0.22/0.68 [41]~P6(x411)+~P7(x411,x412)
% 0.22/0.68 [45]~P12(x452,x451)+P11(x451,x452)
% 0.22/0.68 [46]~P11(x462,x461)+P12(x461,x462)
% 0.22/0.68 [47]~P9(x472,x471)+P10(x471,x472)
% 0.22/0.68 [48]~P10(x482,x481)+P9(x481,x482)
% 0.22/0.68 [40]~P6(x401)+P3(x401)+~P8(f6(x401))
% 0.22/0.68 [42]~P6(x421)+P3(x421)+P10(x421,f6(x421))
% 0.22/0.68 [43]~P9(x431,x432)+P4(x431)+~P3(x432)
% 0.22/0.68 [44]~P10(x442,x441)+P8(x441)+~P3(x442)
% 0.22/0.68 [50]~P11(x503,x501)+E(x501,x502)+~P11(x503,x502)
% 0.22/0.68 [51]~P9(x511,x513)+P9(x511,x512)+~P9(x513,x512)
% 0.22/0.68 [49]~P6(x491)+~P9(x491,x492)+P1(x491)+~P4(x492)
% 0.22/0.68 %EqnAxiom
% 0.22/0.68 [1]E(x11,x11)
% 0.22/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.68 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.22/0.68 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.22/0.68 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.22/0.68 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 0.22/0.68 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 0.22/0.68 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.22/0.68 [10]~P2(x101)+P2(x102)+~E(x101,x102)
% 0.22/0.68 [11]~P5(x111)+P5(x112)+~E(x111,x112)
% 0.22/0.68 [12]~P13(x121)+P13(x122)+~E(x121,x122)
% 0.22/0.68 [13]~P6(x131)+P6(x132)+~E(x131,x132)
% 0.22/0.68 [14]P9(x142,x143)+~E(x141,x142)+~P9(x141,x143)
% 0.22/0.68 [15]P9(x153,x152)+~E(x151,x152)+~P9(x153,x151)
% 0.22/0.68 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.22/0.68 [17]~P3(x171)+P3(x172)+~E(x171,x172)
% 0.22/0.68 [18]P11(x182,x183)+~E(x181,x182)+~P11(x181,x183)
% 0.22/0.68 [19]P11(x193,x192)+~E(x191,x192)+~P11(x193,x191)
% 0.22/0.68 [20]P10(x202,x203)+~E(x201,x202)+~P10(x201,x203)
% 0.22/0.68 [21]P10(x213,x212)+~E(x211,x212)+~P10(x213,x211)
% 0.22/0.68 [22]P12(x222,x223)+~E(x221,x222)+~P12(x221,x223)
% 0.22/0.68 [23]P12(x233,x232)+~E(x231,x232)+~P12(x233,x231)
% 0.22/0.68 [24]~P8(x241)+P8(x242)+~E(x241,x242)
% 0.22/0.68 [25]P7(x252,x253)+~E(x251,x252)+~P7(x251,x253)
% 0.22/0.68 [26]P7(x263,x262)+~E(x261,x262)+~P7(x263,x261)
% 0.22/0.68
% 0.22/0.68 %-------------------------------------------
% 0.22/0.68 cnf(52,plain,
% 0.22/0.68 (P6(a1)),
% 0.22/0.68 inference(scs_inference,[],[27,30])).
% 0.22/0.68 cnf(53,plain,
% 0.22/0.68 (P9(a1,f3(a1))),
% 0.22/0.68 inference(scs_inference,[],[27,30,38])).
% 0.22/0.68 cnf(54,plain,
% 0.22/0.68 (P4(f3(a1))),
% 0.22/0.68 inference(scs_inference,[],[27,30,38,34])).
% 0.22/0.68 cnf(56,plain,
% 0.22/0.68 (P3(f2(f3(a1)))),
% 0.22/0.68 inference(scs_inference,[],[27,30,38,34,33])).
% 0.22/0.68 cnf(74,plain,
% 0.22/0.68 (P9(a1,f2(f3(a1)))),
% 0.22/0.68 inference(scs_inference,[],[56,54,53,52,47,41,31,39,51])).
% 0.22/0.68 cnf(76,plain,
% 0.22/0.68 (P4(a1)),
% 0.22/0.68 inference(scs_inference,[],[56,54,53,52,47,41,31,39,51,43])).
% 0.22/0.68 cnf(78,plain,
% 0.22/0.68 (~P8(a1)),
% 0.22/0.68 inference(scs_inference,[],[56,54,53,52,47,41,31,39,51,43,37])).
% 0.22/0.68 cnf(84,plain,
% 0.22/0.68 (~E(f2(f3(a1)),f3(a1))),
% 0.22/0.68 inference(scs_inference,[],[56,54,53,52,47,41,31,39,51,43,37,25,44,24,17])).
% 0.22/0.68 cnf(89,plain,
% 0.22/0.68 (~P10(f2(f3(a1)),a1)),
% 0.22/0.68 inference(scs_inference,[],[84,76,78,56,2,16,44])).
% 0.22/0.68 cnf(100,plain,
% 0.22/0.68 ($false),
% 0.22/0.68 inference(scs_inference,[],[89,74,47]),
% 0.22/0.68 ['proof']).
% 0.22/0.68 % SZS output end Proof
% 0.22/0.68 % Total time :0.000000s
%------------------------------------------------------------------------------