TSTP Solution File: KRS076+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS076+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 : n031.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 05:39:10 EDT 2023
% Result : Unsatisfiable 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:14:09 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.030000s
% 0.20/0.66 % Output :CNFRefutation 0.030000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 % File : KRS076+1 : TPTP v8.1.2. Released v3.1.0.
% 0.20/0.66 % Domain : Knowledge Representation (Semantic Web)
% 0.20/0.66 % Problem : DL Test: t10.5
% 0.20/0.66 % Version : Especial.
% 0.20/0.66 % English :
% 0.20/0.66
% 0.20/0.66 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.20/0.66 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.20/0.66 % Source : [Bec03]
% 0.20/0.66 % Names : inconsistent_description-logic-Manifest013 [Bec03]
% 0.20/0.66
% 0.20/0.66 % Status : Unsatisfiable
% 0.20/0.66 % Rating : 0.00 v3.1.0
% 0.20/0.66 % Syntax : Number of formulae : 30 ( 1 unt; 0 def)
% 0.20/0.66 % Number of atoms : 86 ( 21 equ)
% 0.20/0.66 % Maximal formula atoms : 8 ( 2 avg)
% 0.20/0.66 % Number of connectives : 59 ( 3 ~; 0 |; 27 &)
% 0.20/0.66 % ( 5 <=>; 24 =>; 0 <=; 0 <~>)
% 0.20/0.66 % Maximal formula depth : 11 ( 5 avg)
% 0.20/0.66 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.66 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty)
% 0.20/0.66 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.20/0.66 % Number of variables : 74 ( 71 !; 3 ?)
% 0.20/0.66 % SPC : FOF_UNS_RFO_SEQ
% 0.20/0.66
% 0.20/0.66 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.20/0.66 % datatypes, so this problem may not be perfect. At least it's
% 0.20/0.66 % still representative of the type of reasoning required for OWL.
% 0.20/0.66 %------------------------------------------------------------------------------
% 0.20/0.66 fof(cUnsatisfiable_substitution_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & cUnsatisfiable(A) )
% 0.20/0.67 => cUnsatisfiable(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(cowlNothing_substitution_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & cowlNothing(A) )
% 0.20/0.67 => cowlNothing(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(cowlThing_substitution_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & cowlThing(A) )
% 0.20/0.67 => cowlThing(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(cp_substitution_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & cp(A) )
% 0.20/0.67 => cp(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rf_substitution_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rf(A,C) )
% 0.20/0.67 => rf(B,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rf_substitution_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rf(C,A) )
% 0.20/0.67 => rf(C,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rf1_substitution_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rf1(A,C) )
% 0.20/0.67 => rf1(B,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rf1_substitution_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rf1(C,A) )
% 0.20/0.67 => rf1(C,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rinvF_substitution_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rinvF(A,C) )
% 0.20/0.67 => rinvF(B,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rinvF_substitution_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rinvF(C,A) )
% 0.20/0.67 => rinvF(C,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rinvF1_substitution_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rinvF1(A,C) )
% 0.20/0.67 => rinvF1(B,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rinvF1_substitution_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rinvF1(C,A) )
% 0.20/0.67 => rinvF1(C,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rinvS_substitution_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rinvS(A,C) )
% 0.20/0.67 => rinvS(B,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rinvS_substitution_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rinvS(C,A) )
% 0.20/0.67 => rinvS(C,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rs_substitution_1,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rs(A,C) )
% 0.20/0.67 => rs(B,C) ) ).
% 0.20/0.67
% 0.20/0.67 fof(rs_substitution_2,axiom,
% 0.20/0.67 ! [A,B,C] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & rs(C,A) )
% 0.20/0.67 => rs(C,B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(xsd_integer_substitution_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & xsd_integer(A) )
% 0.20/0.67 => xsd_integer(B) ) ).
% 0.20/0.67
% 0.20/0.67 fof(xsd_string_substitution_1,axiom,
% 0.20/0.67 ! [A,B] :
% 0.20/0.67 ( ( A = B
% 0.20/0.67 & xsd_string(A) )
% 0.20/0.67 => xsd_string(B) ) ).
% 0.20/0.67
% 0.20/0.67 %----Thing and Nothing
% 0.20/0.67 fof(axiom_0,axiom,
% 0.20/0.67 ! [X] :
% 0.20/0.67 ( cowlThing(X)
% 0.20/0.67 & ~ cowlNothing(X) ) ).
% 0.20/0.67
% 0.20/0.67 %----String and Integer disjoint
% 0.20/0.67 fof(axiom_1,axiom,
% 0.20/0.67 ! [X] :
% 0.20/0.67 ( xsd_string(X)
% 0.20/0.67 <=> ~ xsd_integer(X) ) ).
% 0.20/0.67
% 0.20/0.67 %----Equality cUnsatisfiable
% 0.20/0.67 fof(axiom_2,axiom,
% 0.20/0.67 ! [X] :
% 0.20/0.67 ( cUnsatisfiable(X)
% 0.20/0.67 <=> ( ? [Y] :
% 0.20/0.67 ( rf(X,Y)
% 0.20/0.67 & cp(Y) )
% 0.20/0.67 & ? [Y] :
% 0.20/0.67 ( rf1(X,Y)
% 0.20/0.67 & ~ cp(Y)
% 0.20/0.67 & ! [Z] :
% 0.20/0.67 ( rinvF1(Y,Z)
% 0.20/0.67 => ? [W] :
% 0.20/0.67 ( rs(Z,W)
% 0.20/0.67 & cowlThing(W) ) ) ) ) ) ).
% 0.20/0.67
% 0.20/0.67 %----Functional: rf
% 0.20/0.67 fof(axiom_3,axiom,
% 0.20/0.67 ! [X,Y,Z] :
% 0.20/0.67 ( ( rf(X,Y)
% 0.20/0.67 & rf(X,Z) )
% 0.20/0.67 => Y = Z ) ).
% 0.20/0.67
% 0.20/0.67 %----Functional: rf1
% 0.20/0.67 fof(axiom_4,axiom,
% 0.20/0.67 ! [X,Y,Z] :
% 0.20/0.67 ( ( rf1(X,Y)
% 0.20/0.67 & rf1(X,Z) )
% 0.20/0.67 => Y = Z ) ).
% 0.20/0.67
% 0.20/0.67 %----Inverse: rinvF
% 0.20/0.67 fof(axiom_5,axiom,
% 0.20/0.67 ! [X,Y] :
% 0.20/0.67 ( rinvF(X,Y)
% 0.20/0.67 <=> rf(Y,X) ) ).
% 0.20/0.67
% 0.20/0.67 %----Inverse: rinvF1
% 0.20/0.67 fof(axiom_6,axiom,
% 0.20/0.67 ! [X,Y] :
% 0.20/0.67 ( rinvF1(X,Y)
% 0.20/0.67 <=> rf1(Y,X) ) ).
% 0.20/0.67
% 0.20/0.67 %----Inverse: rinvS
% 0.20/0.67 fof(axiom_7,axiom,
% 0.20/0.67 ! [X,Y] :
% 0.20/0.67 ( rinvS(X,Y)
% 0.20/0.67 <=> rs(Y,X) ) ).
% 0.20/0.67
% 0.20/0.67 %----Functional: rs
% 0.20/0.67 fof(axiom_8,axiom,
% 0.20/0.67 ! [X,Y,Z] :
% 0.20/0.67 ( ( rs(X,Y)
% 0.20/0.67 & rs(X,Z) )
% 0.20/0.67 => Y = Z ) ).
% 0.20/0.67
% 0.20/0.67 %----i2003_11_14_17_19_06193
% 0.20/0.67 fof(axiom_9,axiom,
% 0.20/0.67 cUnsatisfiable(i2003_11_14_17_19_06193) ).
% 0.20/0.67
% 0.20/0.67 fof(axiom_10,axiom,
% 0.20/0.67 ! [X,Y] :
% 0.20/0.67 ( rs(X,Y)
% 0.20/0.67 => rf1(X,Y) ) ).
% 0.20/0.67
% 0.20/0.67 fof(axiom_11,axiom,
% 0.20/0.67 ! [X,Y] :
% 0.20/0.67 ( rs(X,Y)
% 0.20/0.67 => rf(X,Y) ) ).
% 0.20/0.67
% 0.20/0.67 %------------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:48(EqnAxiom:26)
% 0.20/0.67 %VarNum:91(SingletonVarNum:41)
% 0.20/0.67 %MaxLitNum:6
% 0.20/0.67 %MaxfuncDepth:1
% 0.20/0.67 %SharedTerms:2
% 0.20/0.67 [27]P1(a1)
% 0.20/0.67 [28]~P2(x281)
% 0.20/0.67 [29]P11(x291)+P3(x291)
% 0.20/0.67 [30]~P11(x301)+~P3(x301)
% 0.20/0.67 [31]~P1(x311)+P4(f2(x311))
% 0.20/0.67 [32]~P1(x321)+~P4(f3(x321))
% 0.20/0.67 [33]~P1(x331)+P5(x331,f2(x331))
% 0.20/0.67 [34]~P1(x341)+P6(x341,f3(x341))
% 0.20/0.67 [35]~P7(x352,x351)+P5(x351,x352)
% 0.20/0.67 [36]~P8(x361,x362)+P5(x361,x362)
% 0.20/0.67 [37]~P9(x372,x371)+P6(x371,x372)
% 0.20/0.67 [38]~P8(x381,x382)+P6(x381,x382)
% 0.20/0.67 [39]~P5(x392,x391)+P7(x391,x392)
% 0.20/0.67 [40]~P6(x402,x401)+P9(x401,x402)
% 0.20/0.67 [41]~P8(x412,x411)+P10(x411,x412)
% 0.20/0.67 [42]~P10(x422,x421)+P8(x421,x422)
% 0.20/0.67 [46]~P1(x462)+~P9(f3(x462),x461)+P8(x461,f4(x462,x461))
% 0.20/0.67 [43]~P5(x433,x431)+E(x431,x432)+~P5(x433,x432)
% 0.20/0.67 [44]~P6(x443,x441)+E(x441,x442)+~P6(x443,x442)
% 0.20/0.67 [45]~P8(x453,x451)+E(x451,x452)+~P8(x453,x452)
% 0.20/0.67 [47]~P5(x471,x473)+~P6(x471,x472)+P1(x471)+P4(x472)+~P4(x473)+P9(x472,f5(x471,x472))
% 0.20/0.67 [48]~P5(x481,x483)+~P6(x481,x482)+P1(x481)+P4(x482)+~P4(x483)+~P8(f5(x481,x482),x484)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.20/0.67 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.20/0.67 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.20/0.67 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.20/0.67 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.20/0.67 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.20/0.67 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.20/0.67 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.20/0.67 [12]~P3(x121)+P3(x122)+~E(x121,x122)
% 0.20/0.67 [13]~P11(x131)+P11(x132)+~E(x131,x132)
% 0.20/0.67 [14]P5(x142,x143)+~E(x141,x142)+~P5(x141,x143)
% 0.20/0.67 [15]P5(x153,x152)+~E(x151,x152)+~P5(x153,x151)
% 0.20/0.67 [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 0.20/0.67 [17]P8(x172,x173)+~E(x171,x172)+~P8(x171,x173)
% 0.20/0.67 [18]P8(x183,x182)+~E(x181,x182)+~P8(x183,x181)
% 0.20/0.67 [19]P10(x192,x193)+~E(x191,x192)+~P10(x191,x193)
% 0.20/0.67 [20]P10(x203,x202)+~E(x201,x202)+~P10(x203,x201)
% 0.20/0.67 [21]P6(x212,x213)+~E(x211,x212)+~P6(x211,x213)
% 0.20/0.68 [22]P6(x223,x222)+~E(x221,x222)+~P6(x223,x221)
% 0.20/0.68 [23]P9(x232,x233)+~E(x231,x232)+~P9(x231,x233)
% 0.20/0.68 [24]P9(x243,x242)+~E(x241,x242)+~P9(x243,x241)
% 0.20/0.68 [25]P7(x252,x253)+~E(x251,x252)+~P7(x251,x253)
% 0.20/0.68 [26]P7(x263,x262)+~E(x261,x262)+~P7(x263,x261)
% 0.20/0.68
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 cnf(49,plain,
% 0.20/0.68 (P6(a1,f3(a1))),
% 0.20/0.68 inference(scs_inference,[],[27,34])).
% 0.20/0.68 cnf(50,plain,
% 0.20/0.68 (P5(a1,f2(a1))),
% 0.20/0.68 inference(scs_inference,[],[27,34,33])).
% 0.20/0.68 cnf(55,plain,
% 0.20/0.68 (~E(f2(a1),f3(a1))),
% 0.20/0.68 inference(scs_inference,[],[27,34,33,32,31,16])).
% 0.20/0.68 cnf(59,plain,
% 0.20/0.68 (~P8(a1,f3(a1))),
% 0.20/0.68 inference(scs_inference,[],[27,34,33,32,31,16,10,43,36])).
% 0.20/0.68 cnf(61,plain,
% 0.20/0.68 (~P7(f3(a1),a1)),
% 0.20/0.68 inference(scs_inference,[],[27,34,33,32,31,16,10,43,36,35])).
% 0.20/0.68 cnf(65,plain,
% 0.20/0.68 (~P6(a1,f2(a1))),
% 0.20/0.68 inference(scs_inference,[],[27,34,33,32,31,16,10,43,36,35,45,44])).
% 0.20/0.68 cnf(75,plain,
% 0.20/0.68 (~P10(f3(a1),a1)),
% 0.20/0.68 inference(scs_inference,[],[55,49,50,59,2,40,39,42])).
% 0.20/0.68 cnf(77,plain,
% 0.20/0.68 (~P8(a1,f2(a1))),
% 0.20/0.68 inference(scs_inference,[],[55,49,50,59,65,2,40,39,42,38])).
% 0.20/0.68 cnf(82,plain,
% 0.20/0.68 (P8(a1,f4(a1,a1))),
% 0.20/0.68 inference(scs_inference,[],[27,55,49,50,59,61,65,2,40,39,42,38,37,26,46])).
% 0.20/0.68 cnf(84,plain,
% 0.20/0.68 (P10(f4(a1,a1),a1)),
% 0.20/0.68 inference(scs_inference,[],[27,55,49,50,59,61,65,2,40,39,42,38,37,26,46,41])).
% 0.20/0.68 cnf(86,plain,
% 0.20/0.68 (P5(a1,f4(a1,a1))),
% 0.20/0.68 inference(scs_inference,[],[27,55,49,50,59,61,65,2,40,39,42,38,37,26,46,41,36])).
% 0.20/0.68 cnf(90,plain,
% 0.20/0.68 (~E(f4(a1,a1),f2(a1))),
% 0.20/0.68 inference(scs_inference,[],[82,84,75,77,19,18])).
% 0.20/0.68 cnf(114,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[50,90,86,43]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.030000s
%------------------------------------------------------------------------------