TSTP Solution File: KRS071+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KRS071+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 : n015.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 0.21s 0.68s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 02:00:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.60 start to proof:theBenchmark
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 % File :CSE---1.6
% 0.21/0.67 % Problem :theBenchmark
% 0.21/0.67 % Transform :cnf
% 0.21/0.67 % Format :tptp:raw
% 0.21/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.67
% 0.21/0.67 % Result :Theorem 0.010000s
% 0.21/0.67 % Output :CNFRefutation 0.010000s
% 0.21/0.67 %-------------------------------------------
% 0.21/0.67 %------------------------------------------------------------------------------
% 0.21/0.67 % File : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% 0.21/0.67 % Domain : Knowledge Representation (Semantic Web)
% 0.21/0.67 % Problem : DL Test: t1.2
% 0.21/0.67 % Version : Especial.
% 0.21/0.67 % English :
% 0.21/0.67
% 0.21/0.67 % Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.21/0.67 % : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.21/0.67 % Source : [Bec03]
% 0.21/0.67 % Names : inconsistent_description-logic-Manifest007 [Bec03]
% 0.21/0.67
% 0.21/0.67 % Status : Unsatisfiable
% 0.21/0.67 % Rating : 0.00 v3.1.0
% 0.21/0.67 % Syntax : Number of formulae : 23 ( 1 unt; 0 def)
% 0.21/0.67 % Number of atoms : 76 ( 17 equ)
% 0.21/0.67 % Maximal formula atoms : 13 ( 3 avg)
% 0.21/0.67 % Number of connectives : 59 ( 6 ~; 8 |; 23 &)
% 0.21/0.67 % ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% 0.21/0.67 % Maximal formula depth : 12 ( 5 avg)
% 0.21/0.67 % Maximal term depth : 1 ( 1 avg)
% 0.21/0.67 % Number of predicates : 13 ( 12 usr; 0 prp; 1-2 aty)
% 0.21/0.67 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.21/0.67 % Number of variables : 47 ( 44 !; 3 ?)
% 0.21/0.67 % SPC : FOF_UNS_RFO_SEQ
% 0.21/0.67
% 0.21/0.67 % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.21/0.67 % datatypes, so this problem may not be perfect. At least it's
% 0.21/0.67 % still representative of the type of reasoning required for OWL.
% 0.21/0.67 %------------------------------------------------------------------------------
% 0.21/0.67 fof(cUnsatisfiable_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.67 & cUnsatisfiable(A) )
% 0.21/0.67 => cUnsatisfiable(B) ) ).
% 0.21/0.67
% 0.21/0.67 fof(cowlNothing_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.67 & cowlNothing(A) )
% 0.21/0.67 => cowlNothing(B) ) ).
% 0.21/0.67
% 0.21/0.67 fof(cowlThing_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.67 & cowlThing(A) )
% 0.21/0.67 => cowlThing(B) ) ).
% 0.21/0.67
% 0.21/0.67 fof(cp1_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.67 & cp1(A) )
% 0.21/0.67 => cp1(B) ) ).
% 0.21/0.67
% 0.21/0.67 fof(cp2_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.67 & cp2(A) )
% 0.21/0.67 => cp2(B) ) ).
% 0.21/0.67
% 0.21/0.67 fof(cp3_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.67 & cp3(A) )
% 0.21/0.67 => cp3(B) ) ).
% 0.21/0.67
% 0.21/0.67 fof(cp4_substitution_1,axiom,
% 0.21/0.67 ! [A,B] :
% 0.21/0.67 ( ( A = B
% 0.21/0.68 & cp4(A) )
% 0.21/0.68 => cp4(B) ) ).
% 0.21/0.68
% 0.21/0.68 fof(cp5_substitution_1,axiom,
% 0.21/0.68 ! [A,B] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & cp5(A) )
% 0.21/0.68 => cp5(B) ) ).
% 0.21/0.68
% 0.21/0.68 fof(rinvR_substitution_1,axiom,
% 0.21/0.68 ! [A,B,C] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & rinvR(A,C) )
% 0.21/0.68 => rinvR(B,C) ) ).
% 0.21/0.68
% 0.21/0.68 fof(rinvR_substitution_2,axiom,
% 0.21/0.68 ! [A,B,C] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & rinvR(C,A) )
% 0.21/0.68 => rinvR(C,B) ) ).
% 0.21/0.68
% 0.21/0.68 fof(rr_substitution_1,axiom,
% 0.21/0.68 ! [A,B,C] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & rr(A,C) )
% 0.21/0.68 => rr(B,C) ) ).
% 0.21/0.68
% 0.21/0.68 fof(rr_substitution_2,axiom,
% 0.21/0.68 ! [A,B,C] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & rr(C,A) )
% 0.21/0.68 => rr(C,B) ) ).
% 0.21/0.68
% 0.21/0.68 fof(xsd_integer_substitution_1,axiom,
% 0.21/0.68 ! [A,B] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & xsd_integer(A) )
% 0.21/0.68 => xsd_integer(B) ) ).
% 0.21/0.68
% 0.21/0.68 fof(xsd_string_substitution_1,axiom,
% 0.21/0.68 ! [A,B] :
% 0.21/0.68 ( ( A = B
% 0.21/0.68 & xsd_string(A) )
% 0.21/0.68 => xsd_string(B) ) ).
% 0.21/0.68
% 0.21/0.68 %----Thing and Nothing
% 0.21/0.68 fof(axiom_0,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cowlThing(X)
% 0.21/0.68 & ~ cowlNothing(X) ) ).
% 0.21/0.68
% 0.21/0.68 %----String and Integer disjoint
% 0.21/0.68 fof(axiom_1,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( xsd_string(X)
% 0.21/0.68 <=> ~ xsd_integer(X) ) ).
% 0.21/0.68
% 0.21/0.68 %----Equality cUnsatisfiable
% 0.21/0.68 fof(axiom_2,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cUnsatisfiable(X)
% 0.21/0.68 <=> ( ? [Y] :
% 0.21/0.68 ( rr(X,Y)
% 0.21/0.68 & cp1(Y) )
% 0.21/0.68 & ? [Y] :
% 0.21/0.68 ( rr(X,Y)
% 0.21/0.68 & cp2(Y) )
% 0.21/0.68 & ? [Y] :
% 0.21/0.68 ( rr(X,Y)
% 0.21/0.68 & cp3(Y) )
% 0.21/0.68 & ! [Y0,Y1,Y2] :
% 0.21/0.68 ( ( rr(X,Y0)
% 0.21/0.68 & rr(X,Y1)
% 0.21/0.68 & rr(X,Y2) )
% 0.21/0.68 => ( Y0 = Y1
% 0.21/0.68 | Y0 = Y2
% 0.21/0.68 | Y1 = Y2 ) ) ) ) ).
% 0.21/0.68
% 0.21/0.68 %----Super cp1
% 0.21/0.68 fof(axiom_3,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cp1(X)
% 0.21/0.68 => ~ ( cp4(X)
% 0.21/0.68 | cp2(X)
% 0.21/0.68 | cp3(X)
% 0.21/0.68 | cp5(X) ) ) ).
% 0.21/0.68
% 0.21/0.68 %----Super cp2
% 0.21/0.68 fof(axiom_4,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cp2(X)
% 0.21/0.68 => ~ ( cp4(X)
% 0.21/0.68 | cp3(X)
% 0.21/0.68 | cp5(X) ) ) ).
% 0.21/0.68
% 0.21/0.68 %----Super cp3
% 0.21/0.68 fof(axiom_5,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cp3(X)
% 0.21/0.68 => ~ ( cp4(X)
% 0.21/0.68 | cp5(X) ) ) ).
% 0.21/0.68
% 0.21/0.68 %----Super cp4
% 0.21/0.68 fof(axiom_6,axiom,
% 0.21/0.68 ! [X] :
% 0.21/0.68 ( cp4(X)
% 0.21/0.68 => ~ cp5(X) ) ).
% 0.21/0.68
% 0.21/0.68 %----Inverse: rinvR
% 0.21/0.68 fof(axiom_7,axiom,
% 0.21/0.68 ! [X,Y] :
% 0.21/0.68 ( rinvR(X,Y)
% 0.21/0.68 <=> rr(Y,X) ) ).
% 0.21/0.68
% 0.21/0.68 %----i2003_11_14_17_18_39380
% 0.21/0.68 fof(axiom_8,axiom,
% 0.21/0.68 cUnsatisfiable(i2003_11_14_17_18_39380) ).
% 0.21/0.68
% 0.21/0.68 %------------------------------------------------------------------------------
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 % Proof found
% 0.21/0.68 % SZS status Theorem for theBenchmark
% 0.21/0.68 % SZS output start Proof
% 0.21/0.68 %ClaNum:51(EqnAxiom:22)
% 0.21/0.68 %VarNum:133(SingletonVarNum:51)
% 0.21/0.68 %MaxLitNum:8
% 0.21/0.68 %MaxfuncDepth:1
% 0.21/0.68 %SharedTerms:2
% 0.21/0.68 [23]P1(a1)
% 0.21/0.68 [24]~P2(x241)
% 0.21/0.68 [25]P11(x251)+P3(x251)
% 0.21/0.68 [26]~P5(x261)+~P4(x261)
% 0.21/0.68 [27]~P6(x271)+~P4(x271)
% 0.21/0.68 [28]~P7(x281)+~P4(x281)
% 0.21/0.68 [29]~P8(x291)+~P4(x291)
% 0.21/0.68 [30]~P6(x301)+~P5(x301)
% 0.21/0.68 [31]~P7(x311)+~P5(x311)
% 0.21/0.68 [32]~P8(x321)+~P5(x321)
% 0.21/0.68 [33]~P7(x331)+~P6(x331)
% 0.21/0.68 [34]~P8(x341)+~P6(x341)
% 0.21/0.68 [35]~P8(x351)+~P7(x351)
% 0.21/0.68 [36]~P11(x361)+~P3(x361)
% 0.21/0.68 [37]~P1(x371)+P4(f2(x371))
% 0.21/0.68 [38]~P1(x381)+P5(f3(x381))
% 0.21/0.68 [39]~P1(x391)+P6(f4(x391))
% 0.21/0.68 [40]~P1(x401)+P9(x401,f2(x401))
% 0.21/0.68 [41]~P1(x411)+P9(x411,f3(x411))
% 0.21/0.68 [42]~P1(x421)+P9(x421,f4(x421))
% 0.21/0.68 [43]~P9(x432,x431)+P10(x431,x432)
% 0.21/0.68 [44]~P10(x442,x441)+P9(x441,x442)
% 0.21/0.68 [45]E(x453,x451)+~P9(x454,x452)+~P9(x454,x451)+~P9(x454,x453)+E(x451,x452)+E(x453,x452)+~P1(x454)
% 0.21/0.68 [46]~P9(x461,x464)+~P9(x461,x463)+~P9(x461,x462)+P1(x461)+~P4(x462)+~P5(x463)+~P6(x464)+~E(f5(x461),f6(x461))
% 0.21/0.68 [47]~P9(x471,x474)+~P9(x471,x473)+~P9(x471,x472)+P1(x471)+~P4(x472)+~P5(x473)+~P6(x474)+~E(f7(x471),f6(x471))
% 0.21/0.68 [48]~P9(x481,x484)+~P9(x481,x483)+~P9(x481,x482)+P1(x481)+~P4(x482)+~P5(x483)+~P6(x484)+~E(f7(x481),f5(x481))
% 0.21/0.68 [49]~P9(x491,x494)+~P9(x491,x493)+~P9(x491,x492)+P1(x491)+~P4(x492)+~P5(x493)+~P6(x494)+P9(x491,f6(x491))
% 0.21/0.68 [50]~P9(x501,x504)+~P9(x501,x503)+~P9(x501,x502)+P1(x501)+~P4(x502)+~P5(x503)+~P6(x504)+P9(x501,f5(x501))
% 0.21/0.68 [51]~P9(x511,x514)+~P9(x511,x513)+~P9(x511,x512)+P1(x511)+~P4(x512)+~P5(x513)+~P6(x514)+P9(x511,f7(x511))
% 0.21/0.68 %EqnAxiom
% 0.21/0.68 [1]E(x11,x11)
% 0.21/0.68 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.68 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.21/0.68 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.21/0.68 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.21/0.68 [7]~E(x71,x72)+E(f7(x71),f7(x72))
% 0.21/0.68 [8]~E(x81,x82)+E(f5(x81),f5(x82))
% 0.21/0.68 [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.21/0.68 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.21/0.68 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 0.21/0.68 [12]~P3(x121)+P3(x122)+~E(x121,x122)
% 0.21/0.68 [13]~P11(x131)+P11(x132)+~E(x131,x132)
% 0.21/0.68 [14]~P4(x141)+P4(x142)+~E(x141,x142)
% 0.21/0.68 [15]~P5(x151)+P5(x152)+~E(x151,x152)
% 0.21/0.68 [16]P9(x162,x163)+~E(x161,x162)+~P9(x161,x163)
% 0.21/0.68 [17]P9(x173,x172)+~E(x171,x172)+~P9(x173,x171)
% 0.21/0.68 [18]~P6(x181)+P6(x182)+~E(x181,x182)
% 0.21/0.68 [19]P10(x192,x193)+~E(x191,x192)+~P10(x191,x193)
% 0.21/0.68 [20]P10(x203,x202)+~E(x201,x202)+~P10(x203,x201)
% 0.21/0.68 [21]~P7(x211)+P7(x212)+~E(x211,x212)
% 0.21/0.68 [22]~P8(x221)+P8(x222)+~E(x221,x222)
% 0.21/0.68
% 0.21/0.68 %-------------------------------------------
% 0.21/0.68 cnf(52,plain,
% 0.21/0.68 (P9(a1,f4(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,42])).
% 0.21/0.68 cnf(53,plain,
% 0.21/0.68 (P9(a1,f3(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,42,41])).
% 0.21/0.68 cnf(54,plain,
% 0.21/0.68 (P9(a1,f2(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,42,41,40])).
% 0.21/0.68 cnf(56,plain,
% 0.21/0.68 (P6(f4(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,42,41,40,39])).
% 0.21/0.68 cnf(58,plain,
% 0.21/0.68 (P5(f3(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,42,41,40,39,38])).
% 0.21/0.68 cnf(60,plain,
% 0.21/0.68 (P4(f2(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,42,41,40,39,38,37])).
% 0.21/0.68 cnf(90,plain,
% 0.21/0.68 (~P4(f3(a1))),
% 0.21/0.68 inference(scs_inference,[],[54,56,58,43,30,27,26])).
% 0.21/0.68 cnf(96,plain,
% 0.21/0.68 (E(f3(a1),f2(a1))),
% 0.21/0.68 inference(scs_inference,[],[23,54,56,58,60,52,53,43,30,27,26,14,10,15,2,45])).
% 0.21/0.68 cnf(105,plain,
% 0.21/0.68 ($false),
% 0.21/0.68 inference(scs_inference,[],[96,90,60,58,30,2,27,14]),
% 0.21/0.68 ['proof']).
% 0.21/0.68 % SZS output end Proof
% 0.21/0.68 % Total time :0.010000s
%------------------------------------------------------------------------------