TSTP Solution File: KRS088+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS088+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 : n005.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 05:39:13 EDT 2023
% Result : Unsatisfiable 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.32 % Computer : n005.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Mon Aug 28 02:21:23 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % File :CSE---1.6
% 0.19/0.59 % Problem :theBenchmark
% 0.19/0.59 % Transform :cnf
% 0.19/0.59 % Format :tptp:raw
% 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.59
% 0.19/0.59 % Result :Theorem 0.000000s
% 0.19/0.59 % Output :CNFRefutation 0.000000s
% 0.19/0.59 %-------------------------------------------
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 % File : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.19/0.60 % Domain : Knowledge Representation (Semantic Web)
% 0.19/0.60 % Problem : DL Test: t7f.3
% 0.19/0.60 % Version : Especial.
% 0.19/0.60 % English :
% 0.19/0.60
% 0.19/0.60 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.19/0.60 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.19/0.60 % Source : [Bec03]
% 0.19/0.60 % Names : inconsistent_description-logic-Manifest033 [Bec03]
% 0.19/0.60
% 0.19/0.60 % Status : Unsatisfiable
% 0.19/0.60 % Rating : 0.00 v3.1.0
% 0.19/0.60 % Syntax : Number of formulae : 22 ( 1 unt; 0 def)
% 0.19/0.60 % Number of atoms : 63 ( 15 equ)
% 0.19/0.60 % Maximal formula atoms : 6 ( 2 avg)
% 0.19/0.60 % Number of connectives : 44 ( 3 ~; 0 |; 20 &)
% 0.19/0.60 % ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% 0.19/0.60 % Maximal formula depth : 11 ( 5 avg)
% 0.19/0.60 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.60 % Number of predicates : 11 ( 10 usr; 0 prp; 1-2 aty)
% 0.19/0.60 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.19/0.60 % Number of variables : 52 ( 50 !; 2 ?)
% 0.19/0.60 % SPC : FOF_UNS_RFO_SEQ
% 0.19/0.60
% 0.19/0.60 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.19/0.60 % datatypes, so this problem may not be perfect. At least it's
% 0.19/0.60 % still representative of the type of reasoning required for OWL.
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 fof(cUnsatisfiable_substitution_1,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & cUnsatisfiable(A) )
% 0.19/0.60 => cUnsatisfiable(B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(cowlNothing_substitution_1,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & cowlNothing(A) )
% 0.19/0.60 => cowlNothing(B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(cowlThing_substitution_1,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & cowlThing(A) )
% 0.19/0.60 => cowlThing(B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(cp1_substitution_1,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & cp1(A) )
% 0.19/0.60 => cp1(B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rf_substitution_1,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rf(A,C) )
% 0.19/0.60 => rf(B,C) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rf_substitution_2,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rf(C,A) )
% 0.19/0.60 => rf(C,B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rinvF_substitution_1,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rinvF(A,C) )
% 0.19/0.60 => rinvF(B,C) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rinvF_substitution_2,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rinvF(C,A) )
% 0.19/0.60 => rinvF(C,B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rinvR_substitution_1,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rinvR(A,C) )
% 0.19/0.60 => rinvR(B,C) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rinvR_substitution_2,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rinvR(C,A) )
% 0.19/0.60 => rinvR(C,B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rr_substitution_1,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rr(A,C) )
% 0.19/0.60 => rr(B,C) ) ).
% 0.19/0.60
% 0.19/0.60 fof(rr_substitution_2,axiom,
% 0.19/0.60 ! [A,B,C] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & rr(C,A) )
% 0.19/0.60 => rr(C,B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(xsd_integer_substitution_1,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & xsd_integer(A) )
% 0.19/0.60 => xsd_integer(B) ) ).
% 0.19/0.60
% 0.19/0.60 fof(xsd_string_substitution_1,axiom,
% 0.19/0.60 ! [A,B] :
% 0.19/0.60 ( ( A = B
% 0.19/0.60 & xsd_string(A) )
% 0.19/0.60 => xsd_string(B) ) ).
% 0.19/0.60
% 0.19/0.60 %----Thing and Nothing
% 0.19/0.60 fof(axiom_0,axiom,
% 0.19/0.60 ! [X] :
% 0.19/0.60 ( cowlThing(X)
% 0.19/0.60 & ~ cowlNothing(X) ) ).
% 0.19/0.60
% 0.19/0.60 %----String and Integer disjoint
% 0.19/0.60 fof(axiom_1,axiom,
% 0.19/0.60 ! [X] :
% 0.19/0.60 ( xsd_string(X)
% 0.19/0.60 <=> ~ xsd_integer(X) ) ).
% 0.19/0.60
% 0.19/0.60 %----Equality cUnsatisfiable
% 0.19/0.60 fof(axiom_2,axiom,
% 0.19/0.60 ! [X] :
% 0.19/0.60 ( cUnsatisfiable(X)
% 0.19/0.60 <=> ? [Y] :
% 0.19/0.60 ( rf(X,Y)
% 0.19/0.60 & ! [Z] :
% 0.19/0.60 ( rinvF(Y,Z)
% 0.19/0.60 => ? [W] :
% 0.19/0.60 ( rf(Z,W)
% 0.19/0.60 & ~ cp1(W) ) )
% 0.19/0.60 & cp1(Y) ) ) ).
% 0.19/0.60
% 0.19/0.60 %----Functional: rf
% 0.19/0.60 fof(axiom_3,axiom,
% 0.19/0.60 ! [X,Y,Z] :
% 0.19/0.60 ( ( rf(X,Y)
% 0.19/0.60 & rf(X,Z) )
% 0.19/0.60 => Y = Z ) ).
% 0.19/0.60
% 0.19/0.60 %----Inverse: rinvF
% 0.19/0.60 fof(axiom_4,axiom,
% 0.19/0.60 ! [X,Y] :
% 0.19/0.60 ( rinvF(X,Y)
% 0.19/0.60 <=> rf(Y,X) ) ).
% 0.19/0.60
% 0.19/0.60 %----Inverse: rinvR
% 0.19/0.60 fof(axiom_5,axiom,
% 0.19/0.60 ! [X,Y] :
% 0.19/0.60 ( rinvR(X,Y)
% 0.19/0.60 <=> rr(Y,X) ) ).
% 0.19/0.60
% 0.19/0.60 %----Transitive: rr
% 0.19/0.60 fof(axiom_6,axiom,
% 0.19/0.60 ! [X,Y,Z] :
% 0.19/0.60 ( ( rr(X,Y)
% 0.19/0.60 & rr(Y,Z) )
% 0.19/0.60 => rr(X,Z) ) ).
% 0.19/0.60
% 0.19/0.60 %----i2003_11_14_17_19_49673
% 0.19/0.60 fof(axiom_7,axiom,
% 0.19/0.60 cUnsatisfiable(i2003_11_14_17_19_49673) ).
% 0.19/0.60
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:37(EqnAxiom:21)
% 0.19/0.61 %VarNum:64(SingletonVarNum:28)
% 0.19/0.61 %MaxLitNum:5
% 0.19/0.61 %MaxfuncDepth:1
% 0.19/0.61 %SharedTerms:2
% 0.19/0.61 [22]P1(a1)
% 0.19/0.61 [23]~P2(x231)
% 0.19/0.61 [24]P9(x241)+P3(x241)
% 0.19/0.61 [25]~P9(x251)+~P3(x251)
% 0.19/0.61 [26]~P1(x261)+P4(f2(x261))
% 0.19/0.61 [27]~P1(x271)+P5(x271,f2(x271))
% 0.19/0.61 [28]~P6(x282,x281)+P5(x281,x282)
% 0.19/0.61 [29]~P5(x292,x291)+P6(x291,x292)
% 0.19/0.61 [30]~P8(x302,x301)+P7(x301,x302)
% 0.19/0.61 [31]~P7(x312,x311)+P8(x311,x312)
% 0.19/0.61 [35]~P1(x352)+~P6(f2(x352),x351)+P5(x351,f4(x352,x351))
% 0.19/0.61 [36]~P1(x361)+~P6(f2(x361),x362)+~P4(f4(x361,x362))
% 0.19/0.61 [32]~P5(x323,x321)+E(x321,x322)+~P5(x323,x322)
% 0.19/0.61 [33]~P8(x331,x333)+P8(x331,x332)+~P8(x333,x332)
% 0.19/0.61 [34]~P4(x342)+~P5(x341,x342)+P1(x341)+P6(x342,f3(x341,x342))
% 0.19/0.61 [37]~P5(x371,x373)+P1(x371)+P4(x372)+~P4(x373)+~P5(f3(x371,x373),x372)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61 [1]E(x11,x11)
% 0.19/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.61 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.19/0.61 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.19/0.61 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.19/0.61 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.19/0.61 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.19/0.61 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.19/0.61 [10]~P2(x101)+P2(x102)+~E(x101,x102)
% 0.19/0.61 [11]~P3(x111)+P3(x112)+~E(x111,x112)
% 0.19/0.61 [12]~P9(x121)+P9(x122)+~E(x121,x122)
% 0.19/0.61 [13]~P4(x131)+P4(x132)+~E(x131,x132)
% 0.19/0.61 [14]P6(x142,x143)+~E(x141,x142)+~P6(x141,x143)
% 0.19/0.61 [15]P6(x153,x152)+~E(x151,x152)+~P6(x153,x151)
% 0.19/0.61 [16]P5(x162,x163)+~E(x161,x162)+~P5(x161,x163)
% 0.19/0.61 [17]P5(x173,x172)+~E(x171,x172)+~P5(x173,x171)
% 0.19/0.61 [18]P8(x182,x183)+~E(x181,x182)+~P8(x181,x183)
% 0.19/0.61 [19]P8(x193,x192)+~E(x191,x192)+~P8(x193,x191)
% 0.19/0.61 [20]P7(x202,x203)+~E(x201,x202)+~P7(x201,x203)
% 0.19/0.61 [21]P7(x213,x212)+~E(x211,x212)+~P7(x213,x211)
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(38,plain,
% 0.19/0.61 (P5(a1,f2(a1))),
% 0.19/0.61 inference(scs_inference,[],[22,27])).
% 0.19/0.61 cnf(41,plain,
% 0.19/0.61 (~E(f2(a1),f4(a1,x411))+~P6(f2(a1),x411)),
% 0.19/0.61 inference(scs_inference,[],[22,27,26,13,36])).
% 0.19/0.61 cnf(43,plain,
% 0.19/0.61 (~E(f2(a1),f4(a1,x431))+P5(x432,f4(a1,x432))+~P6(f2(a1),x432)),
% 0.19/0.61 inference(scs_inference,[],[22,27,26,13,36,35])).
% 0.19/0.61 cnf(50,plain,
% 0.19/0.61 (P6(f2(a1),a1)),
% 0.19/0.61 inference(scs_inference,[],[38,29])).
% 0.19/0.61 cnf(55,plain,
% 0.19/0.61 (~P5(a1,f4(a1,a1))),
% 0.19/0.61 inference(scs_inference,[],[22,38,29,41,9,32])).
% 0.19/0.61 cnf(60,plain,
% 0.19/0.61 (~E(f2(a1),f4(a1,x601))),
% 0.19/0.61 inference(scs_inference,[],[22,38,29,41,9,32,36,35,2,43])).
% 0.19/0.61 cnf(67,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[38,60,55,50,22,28,32,35]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------