TSTP Solution File: KRS072+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS072+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 : n001.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 05:39:09 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS072+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n001.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 03:01:04 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 % File :CSE---1.6
% 0.19/0.63 % Problem :theBenchmark
% 0.19/0.63 % Transform :cnf
% 0.19/0.63 % Format :tptp:raw
% 0.19/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.63
% 0.19/0.63 % Result :Theorem 0.000000s
% 0.19/0.63 % Output :CNFRefutation 0.000000s
% 0.19/0.63 %-------------------------------------------
% 0.19/0.63 %------------------------------------------------------------------------------
% 0.19/0.63 % File : KRS072+1 : TPTP v8.1.2. Released v3.1.0.
% 0.19/0.63 % Domain : Knowledge Representation (Semantic Web)
% 0.19/0.63 % Problem : DL Test: t1.3
% 0.19/0.63 % Version : Especial.
% 0.19/0.63 % English :
% 0.19/0.63
% 0.19/0.63 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.19/0.63 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.19/0.63 % Source : [Bec03]
% 0.19/0.63 % Names : inconsistent_description-logic-Manifest008 [Bec03]
% 0.19/0.63
% 0.19/0.63 % Status : Unsatisfiable
% 0.19/0.63 % Rating : 0.00 v3.1.0
% 0.19/0.63 % Syntax : Number of formulae : 23 ( 1 unt; 0 def)
% 0.19/0.63 % Number of atoms : 71 ( 15 equ)
% 0.19/0.63 % Maximal formula atoms : 8 ( 3 avg)
% 0.19/0.63 % Number of connectives : 54 ( 6 ~; 6 |; 20 &)
% 0.19/0.63 % ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% 0.19/0.63 % Maximal formula depth : 11 ( 5 avg)
% 0.19/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.64 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty)
% 0.19/0.64 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.19/0.64 % Number of variables : 45 ( 43 !; 2 ?)
% 0.19/0.64 % SPC : FOF_UNS_RFO_SEQ
% 0.19/0.64
% 0.19/0.64 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.19/0.64 % datatypes, so this problem may not be perfect. At least it's
% 0.19/0.64 % still representative of the type of reasoning required for OWL.
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 fof(cUnsatisfiable_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cUnsatisfiable(A) )
% 0.19/0.64 => cUnsatisfiable(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cowlNothing_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cowlNothing(A) )
% 0.19/0.64 => cowlNothing(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cowlThing_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cowlThing(A) )
% 0.19/0.64 => cowlThing(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cp1_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cp1(A) )
% 0.19/0.64 => cp1(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cp2_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cp2(A) )
% 0.19/0.64 => cp2(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cp3_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cp3(A) )
% 0.19/0.64 => cp3(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cp4_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cp4(A) )
% 0.19/0.64 => cp4(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(cp5_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & cp5(A) )
% 0.19/0.64 => cp5(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(rinvR_substitution_1,axiom,
% 0.19/0.64 ! [A,B,C] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & rinvR(A,C) )
% 0.19/0.64 => rinvR(B,C) ) ).
% 0.19/0.64
% 0.19/0.64 fof(rinvR_substitution_2,axiom,
% 0.19/0.64 ! [A,B,C] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & rinvR(C,A) )
% 0.19/0.64 => rinvR(C,B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(rr_substitution_1,axiom,
% 0.19/0.64 ! [A,B,C] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & rr(A,C) )
% 0.19/0.64 => rr(B,C) ) ).
% 0.19/0.64
% 0.19/0.64 fof(rr_substitution_2,axiom,
% 0.19/0.64 ! [A,B,C] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & rr(C,A) )
% 0.19/0.64 => rr(C,B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(xsd_integer_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & xsd_integer(A) )
% 0.19/0.64 => xsd_integer(B) ) ).
% 0.19/0.64
% 0.19/0.64 fof(xsd_string_substitution_1,axiom,
% 0.19/0.64 ! [A,B] :
% 0.19/0.64 ( ( A = B
% 0.19/0.64 & xsd_string(A) )
% 0.19/0.64 => xsd_string(B) ) ).
% 0.19/0.64
% 0.19/0.64 %----Thing and Nothing
% 0.19/0.64 fof(axiom_0,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( cowlThing(X)
% 0.19/0.64 & ~ cowlNothing(X) ) ).
% 0.19/0.64
% 0.19/0.64 %----String and Integer disjoint
% 0.19/0.64 fof(axiom_1,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( xsd_string(X)
% 0.19/0.64 <=> ~ xsd_integer(X) ) ).
% 0.19/0.64
% 0.19/0.64 %----Equality cUnsatisfiable
% 0.19/0.64 fof(axiom_2,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( cUnsatisfiable(X)
% 0.19/0.64 <=> ( ? [Y] :
% 0.19/0.64 ( rinvR(X,Y)
% 0.19/0.64 & ! [Z0,Z1] :
% 0.19/0.64 ( ( rr(Y,Z0)
% 0.19/0.64 & rr(Y,Z1) )
% 0.19/0.64 => Z0 = Z1 )
% 0.19/0.64 & ? [Z] :
% 0.19/0.64 ( rr(Y,Z)
% 0.19/0.64 & cp1(Z) ) )
% 0.19/0.64 & cp2(X) ) ) ).
% 0.19/0.64
% 0.19/0.64 %----Super cp1
% 0.19/0.64 fof(axiom_3,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( cp1(X)
% 0.19/0.64 => ~ ( cp3(X)
% 0.19/0.64 | cp2(X)
% 0.19/0.64 | cp4(X)
% 0.19/0.64 | cp5(X) ) ) ).
% 0.19/0.64
% 0.19/0.64 %----Super cp2
% 0.19/0.64 fof(axiom_4,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( cp2(X)
% 0.19/0.64 => ~ ( cp3(X)
% 0.19/0.64 | cp4(X)
% 0.19/0.64 | cp5(X) ) ) ).
% 0.19/0.64
% 0.19/0.64 %----Super cp3
% 0.19/0.64 fof(axiom_5,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( cp3(X)
% 0.19/0.64 => ~ ( cp4(X)
% 0.19/0.64 | cp5(X) ) ) ).
% 0.19/0.64
% 0.19/0.64 %----Super cp4
% 0.19/0.64 fof(axiom_6,axiom,
% 0.19/0.64 ! [X] :
% 0.19/0.64 ( cp4(X)
% 0.19/0.64 => ~ cp5(X) ) ).
% 0.19/0.64
% 0.19/0.64 %----Inverse: rinvR
% 0.19/0.64 fof(axiom_7,axiom,
% 0.19/0.64 ! [X,Y] :
% 0.19/0.64 ( rinvR(X,Y)
% 0.19/0.64 <=> rr(Y,X) ) ).
% 0.19/0.64
% 0.19/0.64 %----i2003_11_14_17_18_50190
% 0.19/0.64 fof(axiom_8,axiom,
% 0.19/0.64 cUnsatisfiable(i2003_11_14_17_18_50190) ).
% 0.19/0.64
% 0.19/0.64 %------------------------------------------------------------------------------
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark
% 0.19/0.64 % SZS output start Proof
% 0.19/0.64 %ClaNum:46(EqnAxiom:22)
% 0.19/0.64 %VarNum:81(SingletonVarNum:33)
% 0.19/0.64 %MaxLitNum:6
% 0.19/0.64 %MaxfuncDepth:1
% 0.19/0.64 %SharedTerms:2
% 0.19/0.64 [23]P1(a1)
% 0.19/0.64 [24]~P2(x241)
% 0.19/0.64 [25]P11(x251)+P3(x251)
% 0.19/0.64 [26]~P1(x261)+P4(x261)
% 0.19/0.64 [27]~P4(x271)+~P5(x271)
% 0.19/0.64 [28]~P6(x281)+~P5(x281)
% 0.19/0.64 [29]~P7(x291)+~P5(x291)
% 0.19/0.64 [30]~P8(x301)+~P5(x301)
% 0.19/0.64 [31]~P6(x311)+~P4(x311)
% 0.19/0.64 [32]~P7(x321)+~P4(x321)
% 0.19/0.64 [33]~P8(x331)+~P4(x331)
% 0.19/0.64 [34]~P7(x341)+~P6(x341)
% 0.19/0.64 [35]~P8(x351)+~P6(x351)
% 0.19/0.64 [36]~P8(x361)+~P7(x361)
% 0.19/0.64 [37]~P11(x371)+~P3(x371)
% 0.19/0.64 [38]~P1(x381)+P5(f2(x381))
% 0.19/0.64 [39]~P1(x391)+P9(x391,f3(x391))
% 0.19/0.64 [40]~P1(x401)+P10(f3(x401),f2(x401))
% 0.19/0.64 [41]~P10(x412,x411)+P9(x411,x412)
% 0.19/0.64 [42]~P9(x422,x421)+P10(x421,x422)
% 0.19/0.64 [43]E(x431,x432)+~P1(x433)+~P10(f3(x433),x432)+~P10(f3(x433),x431)
% 0.19/0.64 [44]~P4(x441)+~P9(x441,x442)+~P10(x442,x443)+P1(x441)+~P5(x443)+P10(x442,f4(x441,x442))
% 0.19/0.64 [45]~P4(x451)+~P9(x451,x452)+~P10(x452,x453)+P1(x451)+~P5(x453)+P10(x452,f5(x451,x452))
% 0.19/0.64 [46]~P4(x461)+~P9(x461,x462)+~P10(x462,x463)+P1(x461)+~P5(x463)+~E(f5(x461,x462),f4(x461,x462))
% 0.19/0.64 %EqnAxiom
% 0.19/0.64 [1]E(x11,x11)
% 0.19/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.64 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.19/0.64 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.19/0.64 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.19/0.64 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.19/0.64 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.19/0.64 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.19/0.64 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.19/0.64 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.19/0.64 [12]~P3(x121)+P3(x122)+~E(x121,x122)
% 0.19/0.64 [13]~P11(x131)+P11(x132)+~E(x131,x132)
% 0.19/0.64 [14]~P4(x141)+P4(x142)+~E(x141,x142)
% 0.19/0.64 [15]P10(x152,x153)+~E(x151,x152)+~P10(x151,x153)
% 0.19/0.64 [16]P10(x163,x162)+~E(x161,x162)+~P10(x163,x161)
% 0.19/0.64 [17]~P5(x171)+P5(x172)+~E(x171,x172)
% 0.19/0.64 [18]P9(x182,x183)+~E(x181,x182)+~P9(x181,x183)
% 0.19/0.64 [19]P9(x193,x192)+~E(x191,x192)+~P9(x193,x191)
% 0.19/0.64 [20]~P7(x201)+P7(x202)+~E(x201,x202)
% 0.19/0.64 [21]~P6(x211)+P6(x212)+~E(x211,x212)
% 0.19/0.64 [22]~P8(x221)+P8(x222)+~E(x221,x222)
% 0.19/0.64
% 0.19/0.64 %-------------------------------------------
% 0.19/0.64 cnf(48,plain,
% 0.19/0.64 (P9(a1,f3(a1))),
% 0.19/0.64 inference(scs_inference,[],[23,26,39])).
% 0.19/0.64 cnf(71,plain,
% 0.19/0.64 (~E(a1,f2(a1))),
% 0.19/0.64 inference(scs_inference,[],[23,26,39,38,40,17,33,32,31,30,29,28,27,22,21,20,14])).
% 0.19/0.64 cnf(72,plain,
% 0.19/0.64 (~P10(f3(a1),a1)),
% 0.19/0.64 inference(scs_inference,[],[23,26,39,38,40,17,33,32,31,30,29,28,27,22,21,20,14,43])).
% 0.19/0.65 cnf(79,plain,
% 0.19/0.65 ($false),
% 0.19/0.65 inference(scs_inference,[],[72,48,71,2,42]),
% 0.19/0.65 ['proof']).
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------