TSTP Solution File: KRS074+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS074+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 : n009.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 0.54s 0.63s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.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 : Mon Aug 28 02:12:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.54/0.57 start to proof:theBenchmark
% 0.54/0.63 %-------------------------------------------
% 0.54/0.63 % File :CSE---1.6
% 0.54/0.63 % Problem :theBenchmark
% 0.54/0.63 % Transform :cnf
% 0.54/0.63 % Format :tptp:raw
% 0.54/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.63
% 0.54/0.63 % Result :Theorem 0.000000s
% 0.54/0.63 % Output :CNFRefutation 0.000000s
% 0.54/0.63 %-------------------------------------------
% 0.54/0.63 %------------------------------------------------------------------------------
% 0.54/0.63 % File : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.54/0.63 % Domain : Knowledge Representation (Semantic Web)
% 0.54/0.63 % Problem : DL Test: t10.3
% 0.54/0.63 % Version : Especial.
% 0.54/0.63 % English :
% 0.54/0.63
% 0.54/0.63 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.54/0.63 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.54/0.63 % Source : [Bec03]
% 0.54/0.63 % Names : inconsistent_description-logic-Manifest011 [Bec03]
% 0.54/0.63
% 0.54/0.63 % Status : Unsatisfiable
% 0.54/0.63 % Rating : 0.00 v3.1.0
% 0.54/0.63 % Syntax : Number of formulae : 30 ( 1 unt; 0 def)
% 0.54/0.63 % Number of atoms : 85 ( 21 equ)
% 0.54/0.63 % Maximal formula atoms : 7 ( 2 avg)
% 0.54/0.63 % Number of connectives : 58 ( 3 ~; 0 |; 26 &)
% 0.54/0.63 % ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% 0.54/0.63 % Maximal formula depth : 9 ( 5 avg)
% 0.54/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.54/0.63 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty)
% 0.54/0.63 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.54/0.63 % Number of variables : 73 ( 71 !; 2 ?)
% 0.54/0.63 % SPC : FOF_UNS_RFO_SEQ
% 0.54/0.63
% 0.54/0.63 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.54/0.63 % datatypes, so this problem may not be perfect. At least it's
% 0.54/0.63 % still representative of the type of reasoning required for OWL.
% 0.54/0.63 %------------------------------------------------------------------------------
% 0.54/0.63 fof(cUnsatisfiable_substitution_1,axiom,
% 0.54/0.63 ! [A,B] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & cUnsatisfiable(A) )
% 0.54/0.63 => cUnsatisfiable(B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(cowlNothing_substitution_1,axiom,
% 0.54/0.63 ! [A,B] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & cowlNothing(A) )
% 0.54/0.63 => cowlNothing(B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(cowlThing_substitution_1,axiom,
% 0.54/0.63 ! [A,B] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & cowlThing(A) )
% 0.54/0.63 => cowlThing(B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(cp_substitution_1,axiom,
% 0.54/0.63 ! [A,B] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & cp(A) )
% 0.54/0.63 => cp(B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rf_substitution_1,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rf(A,C) )
% 0.54/0.63 => rf(B,C) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rf_substitution_2,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rf(C,A) )
% 0.54/0.63 => rf(C,B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rf1_substitution_1,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rf1(A,C) )
% 0.54/0.63 => rf1(B,C) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rf1_substitution_2,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rf1(C,A) )
% 0.54/0.63 => rf1(C,B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rinvF_substitution_1,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rinvF(A,C) )
% 0.54/0.63 => rinvF(B,C) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rinvF_substitution_2,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rinvF(C,A) )
% 0.54/0.63 => rinvF(C,B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rinvF1_substitution_1,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rinvF1(A,C) )
% 0.54/0.63 => rinvF1(B,C) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rinvF1_substitution_2,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rinvF1(C,A) )
% 0.54/0.63 => rinvF1(C,B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rinvS_substitution_1,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rinvS(A,C) )
% 0.54/0.63 => rinvS(B,C) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rinvS_substitution_2,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rinvS(C,A) )
% 0.54/0.63 => rinvS(C,B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rs_substitution_1,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rs(A,C) )
% 0.54/0.63 => rs(B,C) ) ).
% 0.54/0.63
% 0.54/0.63 fof(rs_substitution_2,axiom,
% 0.54/0.63 ! [A,B,C] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & rs(C,A) )
% 0.54/0.63 => rs(C,B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(xsd_integer_substitution_1,axiom,
% 0.54/0.63 ! [A,B] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & xsd_integer(A) )
% 0.54/0.63 => xsd_integer(B) ) ).
% 0.54/0.63
% 0.54/0.63 fof(xsd_string_substitution_1,axiom,
% 0.54/0.63 ! [A,B] :
% 0.54/0.63 ( ( A = B
% 0.54/0.63 & xsd_string(A) )
% 0.54/0.63 => xsd_string(B) ) ).
% 0.54/0.63
% 0.54/0.63 %----Thing and Nothing
% 0.54/0.63 fof(axiom_0,axiom,
% 0.54/0.63 ! [X] :
% 0.54/0.63 ( cowlThing(X)
% 0.54/0.63 & ~ cowlNothing(X) ) ).
% 0.54/0.63
% 0.54/0.63 %----String and Integer disjoint
% 0.54/0.63 fof(axiom_1,axiom,
% 0.54/0.63 ! [X] :
% 0.54/0.63 ( xsd_string(X)
% 0.54/0.63 <=> ~ xsd_integer(X) ) ).
% 0.54/0.63
% 0.54/0.63 %----Equality cUnsatisfiable
% 0.54/0.63 fof(axiom_2,axiom,
% 0.54/0.63 ! [X] :
% 0.54/0.63 ( cUnsatisfiable(X)
% 0.54/0.63 <=> ( ? [Y] :
% 0.54/0.63 ( rs(X,Y)
% 0.54/0.63 & cp(Y)
% 0.54/0.63 & ? [Z] :
% 0.54/0.63 ( rinvS(Y,Z)
% 0.54/0.63 & cp(Z) ) )
% 0.54/0.63 & ! [Y] :
% 0.54/0.63 ( rs(X,Y)
% 0.54/0.63 => ~ cp(Y) ) ) ) ).
% 0.54/0.63
% 0.54/0.63 %----Functional: rf
% 0.54/0.63 fof(axiom_3,axiom,
% 0.54/0.63 ! [X,Y,Z] :
% 0.54/0.63 ( ( rf(X,Y)
% 0.54/0.63 & rf(X,Z) )
% 0.54/0.63 => Y = Z ) ).
% 0.54/0.63
% 0.54/0.63 %----Functional: rf1
% 0.54/0.63 fof(axiom_4,axiom,
% 0.54/0.63 ! [X,Y,Z] :
% 0.54/0.63 ( ( rf1(X,Y)
% 0.54/0.63 & rf1(X,Z) )
% 0.54/0.63 => Y = Z ) ).
% 0.54/0.63
% 0.54/0.63 %----Inverse: rinvF
% 0.54/0.63 fof(axiom_5,axiom,
% 0.54/0.63 ! [X,Y] :
% 0.54/0.63 ( rinvF(X,Y)
% 0.54/0.63 <=> rf(Y,X) ) ).
% 0.54/0.63
% 0.54/0.63 %----Inverse: rinvF1
% 0.54/0.63 fof(axiom_6,axiom,
% 0.54/0.63 ! [X,Y] :
% 0.54/0.63 ( rinvF1(X,Y)
% 0.54/0.63 <=> rf1(Y,X) ) ).
% 0.54/0.63
% 0.54/0.63 %----Inverse: rinvS
% 0.54/0.63 fof(axiom_7,axiom,
% 0.54/0.63 ! [X,Y] :
% 0.54/0.63 ( rinvS(X,Y)
% 0.54/0.63 <=> rs(Y,X) ) ).
% 0.54/0.63
% 0.54/0.63 %----Functional: rs
% 0.54/0.63 fof(axiom_8,axiom,
% 0.54/0.63 ! [X,Y,Z] :
% 0.54/0.63 ( ( rs(X,Y)
% 0.54/0.63 & rs(X,Z) )
% 0.54/0.63 => Y = Z ) ).
% 0.54/0.63
% 0.54/0.63 %----i2003_11_14_17_18_59896
% 0.54/0.63 fof(axiom_9,axiom,
% 0.54/0.63 cUnsatisfiable(i2003_11_14_17_18_59896) ).
% 0.54/0.63
% 0.54/0.63 fof(axiom_10,axiom,
% 0.54/0.63 ! [X,Y] :
% 0.54/0.63 ( rs(X,Y)
% 0.54/0.63 => rf1(X,Y) ) ).
% 0.54/0.63
% 0.54/0.63 fof(axiom_11,axiom,
% 0.54/0.63 ! [X,Y] :
% 0.54/0.63 ( rs(X,Y)
% 0.54/0.63 => rf(X,Y) ) ).
% 0.54/0.63
% 0.54/0.63 %------------------------------------------------------------------------------
% 0.54/0.63 %-------------------------------------------
% 0.54/0.63 % Proof found
% 0.54/0.63 % SZS status Theorem for theBenchmark
% 0.54/0.63 % SZS output start Proof
% 0.54/0.63 %ClaNum:45(EqnAxiom:23)
% 0.54/0.63 %VarNum:86(SingletonVarNum:40)
% 0.54/0.63 %MaxLitNum:6
% 0.54/0.63 %MaxfuncDepth:1
% 0.54/0.63 %SharedTerms:2
% 0.54/0.64 [24]P1(a1)
% 0.54/0.64 [25]~P2(x251)
% 0.54/0.64 [26]P11(x261)+P3(x261)
% 0.54/0.64 [27]~P11(x271)+~P3(x271)
% 0.54/0.64 [28]~P1(x281)+P4(f2(x281))
% 0.54/0.64 [29]~P1(x291)+P4(f3(x291))
% 0.54/0.64 [30]~P1(x301)+P5(x301,f2(x301))
% 0.54/0.64 [31]~P1(x311)+P6(f2(x311),f3(x311))
% 0.54/0.64 [33]~P8(x332,x331)+P7(x331,x332)
% 0.54/0.64 [34]~P5(x341,x342)+P7(x341,x342)
% 0.54/0.64 [35]~P10(x352,x351)+P9(x351,x352)
% 0.54/0.64 [36]~P5(x361,x362)+P9(x361,x362)
% 0.54/0.64 [37]~P7(x372,x371)+P8(x371,x372)
% 0.54/0.64 [38]~P9(x382,x381)+P10(x381,x382)
% 0.54/0.64 [39]~P5(x392,x391)+P6(x391,x392)
% 0.54/0.64 [40]~P6(x402,x401)+P5(x401,x402)
% 0.54/0.64 [32]~P5(x321,x322)+~P1(x321)+~P4(x322)
% 0.54/0.64 [41]~P7(x413,x411)+E(x411,x412)+~P7(x413,x412)
% 0.54/0.64 [42]~P9(x423,x421)+E(x421,x422)+~P9(x423,x422)
% 0.54/0.64 [43]~P5(x433,x431)+E(x431,x432)+~P5(x433,x432)
% 0.54/0.64 [44]~P6(x443,x442)+~P5(x441,x443)+P1(x441)+~P4(x442)+~P4(x443)+P4(f4(x441))
% 0.54/0.64 [45]~P6(x453,x452)+~P5(x451,x453)+P1(x451)+~P4(x452)+~P4(x453)+P5(x451,f4(x451))
% 0.54/0.64 %EqnAxiom
% 0.54/0.64 [1]E(x11,x11)
% 0.54/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.64 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.54/0.64 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.54/0.64 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.54/0.64 [7]~P1(x71)+P1(x72)+~E(x71,x72)
% 0.54/0.64 [8]~P2(x81)+P2(x82)+~E(x81,x82)
% 0.54/0.64 [9]~P3(x91)+P3(x92)+~E(x91,x92)
% 0.54/0.64 [10]~P11(x101)+P11(x102)+~E(x101,x102)
% 0.54/0.64 [11]P6(x112,x113)+~E(x111,x112)+~P6(x111,x113)
% 0.54/0.64 [12]P6(x123,x122)+~E(x121,x122)+~P6(x123,x121)
% 0.54/0.64 [13]~P4(x131)+P4(x132)+~E(x131,x132)
% 0.54/0.64 [14]P5(x142,x143)+~E(x141,x142)+~P5(x141,x143)
% 0.54/0.64 [15]P5(x153,x152)+~E(x151,x152)+~P5(x153,x151)
% 0.54/0.64 [16]P9(x162,x163)+~E(x161,x162)+~P9(x161,x163)
% 0.54/0.64 [17]P9(x173,x172)+~E(x171,x172)+~P9(x173,x171)
% 0.54/0.64 [18]P7(x182,x183)+~E(x181,x182)+~P7(x181,x183)
% 0.54/0.64 [19]P7(x193,x192)+~E(x191,x192)+~P7(x193,x191)
% 0.54/0.64 [20]P8(x202,x203)+~E(x201,x202)+~P8(x201,x203)
% 0.54/0.64 [21]P8(x213,x212)+~E(x211,x212)+~P8(x213,x211)
% 0.54/0.64 [22]P10(x222,x223)+~E(x221,x222)+~P10(x221,x223)
% 0.54/0.64 [23]P10(x233,x232)+~E(x231,x232)+~P10(x233,x231)
% 0.54/0.64
% 0.54/0.64 %-------------------------------------------
% 0.54/0.64 cnf(46,plain,
% 0.54/0.64 (P5(a1,f2(a1))),
% 0.54/0.64 inference(scs_inference,[],[24,30])).
% 0.54/0.64 cnf(48,plain,
% 0.54/0.64 (P4(f2(a1))),
% 0.54/0.64 inference(scs_inference,[],[24,30,29,28])).
% 0.54/0.64 cnf(53,plain,
% 0.54/0.64 (~P5(a1,f3(a1))),
% 0.54/0.64 inference(scs_inference,[],[24,30,29,28,31,13,32])).
% 0.54/0.64 cnf(69,plain,
% 0.54/0.64 ($false),
% 0.54/0.64 inference(scs_inference,[],[24,53,48,46,39,36,34,15,32]),
% 0.54/0.64 ['proof']).
% 0.54/0.64 % SZS output end Proof
% 0.54/0.64 % Total time :0.000000s
%------------------------------------------------------------------------------