TSTP Solution File: KRS122+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS122+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 0.23s 0.66s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS122+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 01:01:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.59 start to proof:theBenchmark
% 0.23/0.65 %-------------------------------------------
% 0.23/0.65 % File :CSE---1.6
% 0.23/0.65 % Problem :theBenchmark
% 0.23/0.65 % Transform :cnf
% 0.23/0.65 % Format :tptp:raw
% 0.23/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.65
% 0.23/0.65 % Result :Theorem 0.010000s
% 0.23/0.65 % Output :CNFRefutation 0.010000s
% 0.23/0.65 %-------------------------------------------
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 % File : KRS122+1 : TPTP v8.1.2. Released v3.1.0.
% 0.23/0.66 % Domain : Knowledge Representation (Semantic Web)
% 0.23/0.66 % Problem : DL Test: t7f.3
% 0.23/0.66 % Version : Especial.
% 0.23/0.66 % English :
% 0.23/0.66
% 0.23/0.66 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.23/0.66 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.23/0.66 % Source : [Bec03]
% 0.23/0.66 % Names : inconsistent_description-logic-Manifest633 [Bec03]
% 0.23/0.66
% 0.23/0.66 % Status : Unsatisfiable
% 0.23/0.66 % Rating : 0.00 v3.1.0
% 0.23/0.66 % Syntax : Number of formulae : 31 ( 1 unt; 0 def)
% 0.23/0.66 % Number of atoms : 86 ( 20 equ)
% 0.23/0.66 % Maximal formula atoms : 4 ( 2 avg)
% 0.23/0.66 % Number of connectives : 58 ( 3 ~; 0 |; 25 &)
% 0.23/0.66 % ( 8 <=>; 22 =>; 0 <=; 0 <~>)
% 0.23/0.66 % Maximal formula depth : 6 ( 5 avg)
% 0.23/0.66 % Maximal term depth : 1 ( 1 avg)
% 0.23/0.66 % Number of predicates : 15 ( 14 usr; 0 prp; 1-2 aty)
% 0.23/0.66 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.23/0.66 % Number of variables : 70 ( 66 !; 4 ?)
% 0.23/0.66 % SPC : FOF_UNS_RFO_SEQ
% 0.23/0.66
% 0.23/0.66 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.23/0.66 % datatypes, so this problem may not be perfect. At least it's
% 0.23/0.66 % still representative of the type of reasoning required for OWL.
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 fof(cUnsatisfiable_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & cUnsatisfiable(A) )
% 0.23/0.66 => cUnsatisfiable(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(ca_Ax2_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & ca_Ax2(A) )
% 0.23/0.66 => ca_Ax2(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(ca_Vx3_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & ca_Vx3(A) )
% 0.23/0.66 => ca_Vx3(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(cowlNothing_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & cowlNothing(A) )
% 0.23/0.66 => cowlNothing(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(cowlThing_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & cowlThing(A) )
% 0.23/0.66 => cowlThing(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(cp1_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & cp1(A) )
% 0.23/0.66 => cp1(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(cp1xcomp_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & cp1xcomp(A) )
% 0.23/0.66 => cp1xcomp(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(ra_Px1_substitution_1,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & ra_Px1(A,C) )
% 0.23/0.66 => ra_Px1(B,C) ) ).
% 0.23/0.66
% 0.23/0.66 fof(ra_Px1_substitution_2,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & ra_Px1(C,A) )
% 0.23/0.66 => ra_Px1(C,B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rf_substitution_1,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rf(A,C) )
% 0.23/0.66 => rf(B,C) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rf_substitution_2,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rf(C,A) )
% 0.23/0.66 => rf(C,B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rinvF_substitution_1,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rinvF(A,C) )
% 0.23/0.66 => rinvF(B,C) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rinvF_substitution_2,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rinvF(C,A) )
% 0.23/0.66 => rinvF(C,B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rinvR_substitution_1,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rinvR(A,C) )
% 0.23/0.66 => rinvR(B,C) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rinvR_substitution_2,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rinvR(C,A) )
% 0.23/0.66 => rinvR(C,B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rr_substitution_1,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rr(A,C) )
% 0.23/0.66 => rr(B,C) ) ).
% 0.23/0.66
% 0.23/0.66 fof(rr_substitution_2,axiom,
% 0.23/0.66 ! [A,B,C] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & rr(C,A) )
% 0.23/0.66 => rr(C,B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(xsd_integer_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & xsd_integer(A) )
% 0.23/0.66 => xsd_integer(B) ) ).
% 0.23/0.66
% 0.23/0.66 fof(xsd_string_substitution_1,axiom,
% 0.23/0.66 ! [A,B] :
% 0.23/0.66 ( ( A = B
% 0.23/0.66 & xsd_string(A) )
% 0.23/0.66 => xsd_string(B) ) ).
% 0.23/0.66
% 0.23/0.66 %----Thing and Nothing
% 0.23/0.66 fof(axiom_0,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( cowlThing(X)
% 0.23/0.66 & ~ cowlNothing(X) ) ).
% 0.23/0.66
% 0.23/0.66 %----String and Integer disjoint
% 0.23/0.66 fof(axiom_1,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( xsd_string(X)
% 0.23/0.66 <=> ~ xsd_integer(X) ) ).
% 0.23/0.66
% 0.23/0.66 %----Equality cUnsatisfiable
% 0.23/0.66 fof(axiom_2,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( cUnsatisfiable(X)
% 0.23/0.66 <=> ? [Y] :
% 0.23/0.66 ( rf(X,Y)
% 0.23/0.66 & ca_Ax2(Y) ) ) ).
% 0.23/0.66
% 0.23/0.66 %----Equality cp1
% 0.23/0.66 fof(axiom_3,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( cp1(X)
% 0.23/0.66 <=> ~ ? [Y] : ra_Px1(X,Y) ) ).
% 0.23/0.66
% 0.23/0.66 %----Equality cp1xcomp
% 0.23/0.66 fof(axiom_4,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( cp1xcomp(X)
% 0.23/0.66 <=> ? [Y0] : ra_Px1(X,Y0) ) ).
% 0.23/0.66
% 0.23/0.66 %----Equality ca_Ax2
% 0.23/0.66 fof(axiom_5,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( ca_Ax2(X)
% 0.23/0.66 <=> ( cp1(X)
% 0.23/0.66 & ! [Y] :
% 0.23/0.66 ( rinvF(X,Y)
% 0.23/0.66 => ca_Vx3(Y) ) ) ) ).
% 0.23/0.66
% 0.23/0.66 %----Equality ca_Vx3
% 0.23/0.66 fof(axiom_6,axiom,
% 0.23/0.66 ! [X] :
% 0.23/0.66 ( ca_Vx3(X)
% 0.23/0.66 <=> ? [Y] :
% 0.23/0.66 ( rf(X,Y)
% 0.23/0.66 & cp1xcomp(Y) ) ) ).
% 0.23/0.66
% 0.23/0.66 %----Functional: rf
% 0.23/0.66 fof(axiom_7,axiom,
% 0.23/0.66 ! [X,Y,Z] :
% 0.23/0.66 ( ( rf(X,Y)
% 0.23/0.66 & rf(X,Z) )
% 0.23/0.66 => Y = Z ) ).
% 0.23/0.66
% 0.23/0.66 %----Inverse: rinvF
% 0.23/0.66 fof(axiom_8,axiom,
% 0.23/0.66 ! [X,Y] :
% 0.23/0.66 ( rinvF(X,Y)
% 0.23/0.66 <=> rf(Y,X) ) ).
% 0.23/0.66
% 0.23/0.66 %----Inverse: rinvR
% 0.23/0.66 fof(axiom_9,axiom,
% 0.23/0.66 ! [X,Y] :
% 0.23/0.66 ( rinvR(X,Y)
% 0.23/0.66 <=> rr(Y,X) ) ).
% 0.23/0.66
% 0.23/0.66 %----Transitive: rr
% 0.23/0.66 fof(axiom_10,axiom,
% 0.23/0.66 ! [X,Y,Z] :
% 0.23/0.66 ( ( rr(X,Y)
% 0.23/0.66 & rr(Y,Z) )
% 0.23/0.66 => rr(X,Z) ) ).
% 0.23/0.66
% 0.23/0.66 %----i2003_11_14_17_21_55116
% 0.23/0.66 fof(axiom_11,axiom,
% 0.23/0.66 cUnsatisfiable(i2003_11_14_17_21_55116) ).
% 0.23/0.66
% 0.23/0.66 %------------------------------------------------------------------------------
% 0.23/0.66 %-------------------------------------------
% 0.23/0.66 % Proof found
% 0.23/0.66 % SZS status Theorem for theBenchmark
% 0.23/0.66 % SZS output start Proof
% 0.23/0.66 %ClaNum:50(EqnAxiom:26)
% 0.23/0.66 %VarNum:76(SingletonVarNum:36)
% 0.23/0.66 %MaxLitNum:3
% 0.23/0.66 %MaxfuncDepth:1
% 0.23/0.66 %SharedTerms:2
% 0.23/0.66 [27]P1(a1)
% 0.23/0.66 [28]~P2(x281)
% 0.23/0.66 [29]P13(x291)+P5(x291)
% 0.23/0.67 [30]~P3(x301)+P6(x301)
% 0.23/0.67 [31]~P13(x311)+~P5(x311)
% 0.23/0.67 [32]~P1(x321)+P3(f2(x321))
% 0.23/0.67 [33]~P4(x331)+P7(f3(x331))
% 0.23/0.67 [34]P6(x341)+P8(x341,f4(x341))
% 0.23/0.67 [36]~P7(x361)+P8(x361,f5(x361))
% 0.23/0.67 [37]~P1(x371)+P9(x371,f2(x371))
% 0.23/0.67 [38]~P4(x381)+P9(x381,f3(x381))
% 0.23/0.67 [35]P7(x351)+~P8(x351,x352)
% 0.23/0.67 [40]~P6(x401)+~P8(x401,x402)
% 0.23/0.67 [45]~P10(x452,x451)+P9(x451,x452)
% 0.23/0.67 [46]~P9(x462,x461)+P10(x461,x462)
% 0.23/0.67 [47]~P12(x472,x471)+P11(x471,x472)
% 0.23/0.67 [48]~P11(x482,x481)+P12(x481,x482)
% 0.23/0.67 [39]~P6(x391)+P3(x391)+~P4(f6(x391))
% 0.23/0.67 [41]~P6(x411)+P3(x411)+P10(x411,f6(x411))
% 0.23/0.67 [42]~P9(x421,x422)+P1(x421)+~P3(x422)
% 0.23/0.67 [43]~P10(x432,x431)+P4(x431)+~P3(x432)
% 0.23/0.67 [44]~P9(x441,x442)+P4(x441)+~P7(x442)
% 0.23/0.67 [49]~P9(x493,x491)+E(x491,x492)+~P9(x493,x492)
% 0.23/0.67 [50]~P12(x501,x503)+P12(x501,x502)+~P12(x503,x502)
% 0.23/0.67 %EqnAxiom
% 0.23/0.67 [1]E(x11,x11)
% 0.23/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.23/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.23/0.67 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.23/0.67 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.23/0.67 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.23/0.67 [7]~E(x71,x72)+E(f5(x71),f5(x72))
% 0.23/0.67 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 0.23/0.67 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.23/0.67 [10]~P2(x101)+P2(x102)+~E(x101,x102)
% 0.23/0.67 [11]~P5(x111)+P5(x112)+~E(x111,x112)
% 0.23/0.67 [12]~P13(x121)+P13(x122)+~E(x121,x122)
% 0.23/0.67 [13]~P6(x131)+P6(x132)+~E(x131,x132)
% 0.23/0.67 [14]~P3(x141)+P3(x142)+~E(x141,x142)
% 0.23/0.67 [15]P9(x152,x153)+~E(x151,x152)+~P9(x151,x153)
% 0.23/0.67 [16]P9(x163,x162)+~E(x161,x162)+~P9(x163,x161)
% 0.23/0.67 [17]~P7(x171)+P7(x172)+~E(x171,x172)
% 0.23/0.67 [18]~P4(x181)+P4(x182)+~E(x181,x182)
% 0.23/0.67 [19]P12(x192,x193)+~E(x191,x192)+~P12(x191,x193)
% 0.23/0.67 [20]P12(x203,x202)+~E(x201,x202)+~P12(x203,x201)
% 0.23/0.67 [21]P10(x212,x213)+~E(x211,x212)+~P10(x211,x213)
% 0.23/0.67 [22]P10(x223,x222)+~E(x221,x222)+~P10(x223,x221)
% 0.23/0.67 [23]P8(x232,x233)+~E(x231,x232)+~P8(x231,x233)
% 0.23/0.67 [24]P8(x243,x242)+~E(x241,x242)+~P8(x243,x241)
% 0.23/0.67 [25]P11(x252,x253)+~E(x251,x252)+~P11(x251,x253)
% 0.23/0.67 [26]P11(x263,x262)+~E(x261,x262)+~P11(x263,x261)
% 0.23/0.67
% 0.23/0.67 %-------------------------------------------
% 0.23/0.67 cnf(51,plain,
% 0.23/0.67 (P9(a1,f2(a1))),
% 0.23/0.67 inference(scs_inference,[],[27,37])).
% 0.23/0.67 cnf(52,plain,
% 0.23/0.67 (P3(f2(a1))),
% 0.23/0.67 inference(scs_inference,[],[27,37,32])).
% 0.23/0.67 cnf(68,plain,
% 0.23/0.67 (P9(a1,f3(a1))),
% 0.23/0.67 inference(scs_inference,[],[52,51,46,30,43,40,36,23,38])).
% 0.23/0.67 cnf(72,plain,
% 0.23/0.67 (~E(f3(a1),f2(a1))),
% 0.23/0.67 inference(scs_inference,[],[52,51,46,30,43,40,36,23,38,33,17])).
% 0.23/0.67 cnf(91,plain,
% 0.23/0.67 ($false),
% 0.23/0.67 inference(scs_inference,[],[51,68,72,49]),
% 0.23/0.67 ['proof']).
% 0.23/0.67 % SZS output end Proof
% 0.23/0.67 % Total time :0.010000s
%------------------------------------------------------------------------------