TPTP Problem File: SWV424-1.200.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWV424-1.200 : TPTP v8.2.0. Released v3.5.0.
% Domain : Software Verification
% Problem : Simple access control busy state k=200
% Version : Especial.
% English : Model checking of a simple access control. The property to check
% is that, if one requests access to the resource, it will
% eventually enter the busy state.
% Refs : [CC+02] Cimatti et al (2002), NuSmv 2 An OpenSource Tool for S
% : [NV07a] Navarro (2007), Email to Geoff Sutcliffe
% : [NV07b] Navarro & Voronkov (2007), Encodings of Bounded LTL Mo
% Source : [NV07a]
% Names : example_cmu/short.smv [CC+02]
% : short-k200 [NV07a]
% Status : Unsatisfiable
% Rating : 0.00 v7.3.0, 0.30 v7.2.0, 0.33 v7.1.0, 0.29 v7.0.0, 0.43 v6.4.0, 0.17 v6.3.0, 0.00 v6.2.0, 0.50 v6.1.0, 0.62 v6.0.0, 0.50 v5.5.0, 0.20 v5.4.0, 0.00 v4.0.1, 0.20 v3.7.0, 0.00 v3.5.0
% Syntax : Number of clauses : 223 ( 202 unt; 5 nHn; 222 RR)
% Number of literals : 456 ( 0 equ; 32 neg)
% Maximal clause size : 201 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 202 ( 202 usr; 202 con; 0-0 aty)
% Number of variables : 28 ( 0 sgn)
% SPC : CNF_UNS_EPR_NEQ_NHN
% Comments : Darwin run times seem to have a growth of order k^3.
% : Translated from [CC+02] using [NV07b]
%------------------------------------------------------------------------------
cnf(bound1,axiom,
succ(s0,s1) ).
cnf(bound2,axiom,
succ(s1,s2) ).
cnf(bound3,axiom,
succ(s2,s3) ).
cnf(bound4,axiom,
succ(s3,s4) ).
cnf(bound5,axiom,
succ(s4,s5) ).
cnf(bound6,axiom,
succ(s5,s6) ).
cnf(bound7,axiom,
succ(s6,s7) ).
cnf(bound8,axiom,
succ(s7,s8) ).
cnf(bound9,axiom,
succ(s8,s9) ).
cnf(bound10,axiom,
succ(s9,s10) ).
cnf(bound11,axiom,
succ(s10,s11) ).
cnf(bound12,axiom,
succ(s11,s12) ).
cnf(bound13,axiom,
succ(s12,s13) ).
cnf(bound14,axiom,
succ(s13,s14) ).
cnf(bound15,axiom,
succ(s14,s15) ).
cnf(bound16,axiom,
succ(s15,s16) ).
cnf(bound17,axiom,
succ(s16,s17) ).
cnf(bound18,axiom,
succ(s17,s18) ).
cnf(bound19,axiom,
succ(s18,s19) ).
cnf(bound20,axiom,
succ(s19,s20) ).
cnf(bound21,axiom,
succ(s20,s21) ).
cnf(bound22,axiom,
succ(s21,s22) ).
cnf(bound23,axiom,
succ(s22,s23) ).
cnf(bound24,axiom,
succ(s23,s24) ).
cnf(bound25,axiom,
succ(s24,s25) ).
cnf(bound26,axiom,
succ(s25,s26) ).
cnf(bound27,axiom,
succ(s26,s27) ).
cnf(bound28,axiom,
succ(s27,s28) ).
cnf(bound29,axiom,
succ(s28,s29) ).
cnf(bound30,axiom,
succ(s29,s30) ).
cnf(bound31,axiom,
succ(s30,s31) ).
cnf(bound32,axiom,
succ(s31,s32) ).
cnf(bound33,axiom,
succ(s32,s33) ).
cnf(bound34,axiom,
succ(s33,s34) ).
cnf(bound35,axiom,
succ(s34,s35) ).
cnf(bound36,axiom,
succ(s35,s36) ).
cnf(bound37,axiom,
succ(s36,s37) ).
cnf(bound38,axiom,
succ(s37,s38) ).
cnf(bound39,axiom,
succ(s38,s39) ).
cnf(bound40,axiom,
succ(s39,s40) ).
cnf(bound41,axiom,
succ(s40,s41) ).
cnf(bound42,axiom,
succ(s41,s42) ).
cnf(bound43,axiom,
succ(s42,s43) ).
cnf(bound44,axiom,
succ(s43,s44) ).
cnf(bound45,axiom,
succ(s44,s45) ).
cnf(bound46,axiom,
succ(s45,s46) ).
cnf(bound47,axiom,
succ(s46,s47) ).
cnf(bound48,axiom,
succ(s47,s48) ).
cnf(bound49,axiom,
succ(s48,s49) ).
cnf(bound50,axiom,
succ(s49,s50) ).
cnf(bound51,axiom,
succ(s50,s51) ).
cnf(bound52,axiom,
succ(s51,s52) ).
cnf(bound53,axiom,
succ(s52,s53) ).
cnf(bound54,axiom,
succ(s53,s54) ).
cnf(bound55,axiom,
succ(s54,s55) ).
cnf(bound56,axiom,
succ(s55,s56) ).
cnf(bound57,axiom,
succ(s56,s57) ).
cnf(bound58,axiom,
succ(s57,s58) ).
cnf(bound59,axiom,
succ(s58,s59) ).
cnf(bound60,axiom,
succ(s59,s60) ).
cnf(bound61,axiom,
succ(s60,s61) ).
cnf(bound62,axiom,
succ(s61,s62) ).
cnf(bound63,axiom,
succ(s62,s63) ).
cnf(bound64,axiom,
succ(s63,s64) ).
cnf(bound65,axiom,
succ(s64,s65) ).
cnf(bound66,axiom,
succ(s65,s66) ).
cnf(bound67,axiom,
succ(s66,s67) ).
cnf(bound68,axiom,
succ(s67,s68) ).
cnf(bound69,axiom,
succ(s68,s69) ).
cnf(bound70,axiom,
succ(s69,s70) ).
cnf(bound71,axiom,
succ(s70,s71) ).
cnf(bound72,axiom,
succ(s71,s72) ).
cnf(bound73,axiom,
succ(s72,s73) ).
cnf(bound74,axiom,
succ(s73,s74) ).
cnf(bound75,axiom,
succ(s74,s75) ).
cnf(bound76,axiom,
succ(s75,s76) ).
cnf(bound77,axiom,
succ(s76,s77) ).
cnf(bound78,axiom,
succ(s77,s78) ).
cnf(bound79,axiom,
succ(s78,s79) ).
cnf(bound80,axiom,
succ(s79,s80) ).
cnf(bound81,axiom,
succ(s80,s81) ).
cnf(bound82,axiom,
succ(s81,s82) ).
cnf(bound83,axiom,
succ(s82,s83) ).
cnf(bound84,axiom,
succ(s83,s84) ).
cnf(bound85,axiom,
succ(s84,s85) ).
cnf(bound86,axiom,
succ(s85,s86) ).
cnf(bound87,axiom,
succ(s86,s87) ).
cnf(bound88,axiom,
succ(s87,s88) ).
cnf(bound89,axiom,
succ(s88,s89) ).
cnf(bound90,axiom,
succ(s89,s90) ).
cnf(bound91,axiom,
succ(s90,s91) ).
cnf(bound92,axiom,
succ(s91,s92) ).
cnf(bound93,axiom,
succ(s92,s93) ).
cnf(bound94,axiom,
succ(s93,s94) ).
cnf(bound95,axiom,
succ(s94,s95) ).
cnf(bound96,axiom,
succ(s95,s96) ).
cnf(bound97,axiom,
succ(s96,s97) ).
cnf(bound98,axiom,
succ(s97,s98) ).
cnf(bound99,axiom,
succ(s98,s99) ).
cnf(bound100,axiom,
succ(s99,s100) ).
cnf(bound101,axiom,
succ(s100,s101) ).
cnf(bound102,axiom,
succ(s101,s102) ).
cnf(bound103,axiom,
succ(s102,s103) ).
cnf(bound104,axiom,
succ(s103,s104) ).
cnf(bound105,axiom,
succ(s104,s105) ).
cnf(bound106,axiom,
succ(s105,s106) ).
cnf(bound107,axiom,
succ(s106,s107) ).
cnf(bound108,axiom,
succ(s107,s108) ).
cnf(bound109,axiom,
succ(s108,s109) ).
cnf(bound110,axiom,
succ(s109,s110) ).
cnf(bound111,axiom,
succ(s110,s111) ).
cnf(bound112,axiom,
succ(s111,s112) ).
cnf(bound113,axiom,
succ(s112,s113) ).
cnf(bound114,axiom,
succ(s113,s114) ).
cnf(bound115,axiom,
succ(s114,s115) ).
cnf(bound116,axiom,
succ(s115,s116) ).
cnf(bound117,axiom,
succ(s116,s117) ).
cnf(bound118,axiom,
succ(s117,s118) ).
cnf(bound119,axiom,
succ(s118,s119) ).
cnf(bound120,axiom,
succ(s119,s120) ).
cnf(bound121,axiom,
succ(s120,s121) ).
cnf(bound122,axiom,
succ(s121,s122) ).
cnf(bound123,axiom,
succ(s122,s123) ).
cnf(bound124,axiom,
succ(s123,s124) ).
cnf(bound125,axiom,
succ(s124,s125) ).
cnf(bound126,axiom,
succ(s125,s126) ).
cnf(bound127,axiom,
succ(s126,s127) ).
cnf(bound128,axiom,
succ(s127,s128) ).
cnf(bound129,axiom,
succ(s128,s129) ).
cnf(bound130,axiom,
succ(s129,s130) ).
cnf(bound131,axiom,
succ(s130,s131) ).
cnf(bound132,axiom,
succ(s131,s132) ).
cnf(bound133,axiom,
succ(s132,s133) ).
cnf(bound134,axiom,
succ(s133,s134) ).
cnf(bound135,axiom,
succ(s134,s135) ).
cnf(bound136,axiom,
succ(s135,s136) ).
cnf(bound137,axiom,
succ(s136,s137) ).
cnf(bound138,axiom,
succ(s137,s138) ).
cnf(bound139,axiom,
succ(s138,s139) ).
cnf(bound140,axiom,
succ(s139,s140) ).
cnf(bound141,axiom,
succ(s140,s141) ).
cnf(bound142,axiom,
succ(s141,s142) ).
cnf(bound143,axiom,
succ(s142,s143) ).
cnf(bound144,axiom,
succ(s143,s144) ).
cnf(bound145,axiom,
succ(s144,s145) ).
cnf(bound146,axiom,
succ(s145,s146) ).
cnf(bound147,axiom,
succ(s146,s147) ).
cnf(bound148,axiom,
succ(s147,s148) ).
cnf(bound149,axiom,
succ(s148,s149) ).
cnf(bound150,axiom,
succ(s149,s150) ).
cnf(bound151,axiom,
succ(s150,s151) ).
cnf(bound152,axiom,
succ(s151,s152) ).
cnf(bound153,axiom,
succ(s152,s153) ).
cnf(bound154,axiom,
succ(s153,s154) ).
cnf(bound155,axiom,
succ(s154,s155) ).
cnf(bound156,axiom,
succ(s155,s156) ).
cnf(bound157,axiom,
succ(s156,s157) ).
cnf(bound158,axiom,
succ(s157,s158) ).
cnf(bound159,axiom,
succ(s158,s159) ).
cnf(bound160,axiom,
succ(s159,s160) ).
cnf(bound161,axiom,
succ(s160,s161) ).
cnf(bound162,axiom,
succ(s161,s162) ).
cnf(bound163,axiom,
succ(s162,s163) ).
cnf(bound164,axiom,
succ(s163,s164) ).
cnf(bound165,axiom,
succ(s164,s165) ).
cnf(bound166,axiom,
succ(s165,s166) ).
cnf(bound167,axiom,
succ(s166,s167) ).
cnf(bound168,axiom,
succ(s167,s168) ).
cnf(bound169,axiom,
succ(s168,s169) ).
cnf(bound170,axiom,
succ(s169,s170) ).
cnf(bound171,axiom,
succ(s170,s171) ).
cnf(bound172,axiom,
succ(s171,s172) ).
cnf(bound173,axiom,
succ(s172,s173) ).
cnf(bound174,axiom,
succ(s173,s174) ).
cnf(bound175,axiom,
succ(s174,s175) ).
cnf(bound176,axiom,
succ(s175,s176) ).
cnf(bound177,axiom,
succ(s176,s177) ).
cnf(bound178,axiom,
succ(s177,s178) ).
cnf(bound179,axiom,
succ(s178,s179) ).
cnf(bound180,axiom,
succ(s179,s180) ).
cnf(bound181,axiom,
succ(s180,s181) ).
cnf(bound182,axiom,
succ(s181,s182) ).
cnf(bound183,axiom,
succ(s182,s183) ).
cnf(bound184,axiom,
succ(s183,s184) ).
cnf(bound185,axiom,
succ(s184,s185) ).
cnf(bound186,axiom,
succ(s185,s186) ).
cnf(bound187,axiom,
succ(s186,s187) ).
cnf(bound188,axiom,
succ(s187,s188) ).
cnf(bound189,axiom,
succ(s188,s189) ).
cnf(bound190,axiom,
succ(s189,s190) ).
cnf(bound191,axiom,
succ(s190,s191) ).
cnf(bound192,axiom,
succ(s191,s192) ).
cnf(bound193,axiom,
succ(s192,s193) ).
cnf(bound194,axiom,
succ(s193,s194) ).
cnf(bound195,axiom,
succ(s194,s195) ).
cnf(bound196,axiom,
succ(s195,s196) ).
cnf(bound197,axiom,
succ(s196,s197) ).
cnf(bound198,axiom,
succ(s197,s198) ).
cnf(bound199,axiom,
succ(s198,s199) ).
cnf(bound200,axiom,
last(s199) ).
cnf(bound201,axiom,
( ~ succ(X,Y)
| trans(X,Y) ) ).
cnf(bound202,axiom,
( ~ loop
| trans(s199,s0)
| trans(s199,s1)
| trans(s199,s2)
| trans(s199,s3)
| trans(s199,s4)
| trans(s199,s5)
| trans(s199,s6)
| trans(s199,s7)
| trans(s199,s8)
| trans(s199,s9)
| trans(s199,s10)
| trans(s199,s11)
| trans(s199,s12)
| trans(s199,s13)
| trans(s199,s14)
| trans(s199,s15)
| trans(s199,s16)
| trans(s199,s17)
| trans(s199,s18)
| trans(s199,s19)
| trans(s199,s20)
| trans(s199,s21)
| trans(s199,s22)
| trans(s199,s23)
| trans(s199,s24)
| trans(s199,s25)
| trans(s199,s26)
| trans(s199,s27)
| trans(s199,s28)
| trans(s199,s29)
| trans(s199,s30)
| trans(s199,s31)
| trans(s199,s32)
| trans(s199,s33)
| trans(s199,s34)
| trans(s199,s35)
| trans(s199,s36)
| trans(s199,s37)
| trans(s199,s38)
| trans(s199,s39)
| trans(s199,s40)
| trans(s199,s41)
| trans(s199,s42)
| trans(s199,s43)
| trans(s199,s44)
| trans(s199,s45)
| trans(s199,s46)
| trans(s199,s47)
| trans(s199,s48)
| trans(s199,s49)
| trans(s199,s50)
| trans(s199,s51)
| trans(s199,s52)
| trans(s199,s53)
| trans(s199,s54)
| trans(s199,s55)
| trans(s199,s56)
| trans(s199,s57)
| trans(s199,s58)
| trans(s199,s59)
| trans(s199,s60)
| trans(s199,s61)
| trans(s199,s62)
| trans(s199,s63)
| trans(s199,s64)
| trans(s199,s65)
| trans(s199,s66)
| trans(s199,s67)
| trans(s199,s68)
| trans(s199,s69)
| trans(s199,s70)
| trans(s199,s71)
| trans(s199,s72)
| trans(s199,s73)
| trans(s199,s74)
| trans(s199,s75)
| trans(s199,s76)
| trans(s199,s77)
| trans(s199,s78)
| trans(s199,s79)
| trans(s199,s80)
| trans(s199,s81)
| trans(s199,s82)
| trans(s199,s83)
| trans(s199,s84)
| trans(s199,s85)
| trans(s199,s86)
| trans(s199,s87)
| trans(s199,s88)
| trans(s199,s89)
| trans(s199,s90)
| trans(s199,s91)
| trans(s199,s92)
| trans(s199,s93)
| trans(s199,s94)
| trans(s199,s95)
| trans(s199,s96)
| trans(s199,s97)
| trans(s199,s98)
| trans(s199,s99)
| trans(s199,s100)
| trans(s199,s101)
| trans(s199,s102)
| trans(s199,s103)
| trans(s199,s104)
| trans(s199,s105)
| trans(s199,s106)
| trans(s199,s107)
| trans(s199,s108)
| trans(s199,s109)
| trans(s199,s110)
| trans(s199,s111)
| trans(s199,s112)
| trans(s199,s113)
| trans(s199,s114)
| trans(s199,s115)
| trans(s199,s116)
| trans(s199,s117)
| trans(s199,s118)
| trans(s199,s119)
| trans(s199,s120)
| trans(s199,s121)
| trans(s199,s122)
| trans(s199,s123)
| trans(s199,s124)
| trans(s199,s125)
| trans(s199,s126)
| trans(s199,s127)
| trans(s199,s128)
| trans(s199,s129)
| trans(s199,s130)
| trans(s199,s131)
| trans(s199,s132)
| trans(s199,s133)
| trans(s199,s134)
| trans(s199,s135)
| trans(s199,s136)
| trans(s199,s137)
| trans(s199,s138)
| trans(s199,s139)
| trans(s199,s140)
| trans(s199,s141)
| trans(s199,s142)
| trans(s199,s143)
| trans(s199,s144)
| trans(s199,s145)
| trans(s199,s146)
| trans(s199,s147)
| trans(s199,s148)
| trans(s199,s149)
| trans(s199,s150)
| trans(s199,s151)
| trans(s199,s152)
| trans(s199,s153)
| trans(s199,s154)
| trans(s199,s155)
| trans(s199,s156)
| trans(s199,s157)
| trans(s199,s158)
| trans(s199,s159)
| trans(s199,s160)
| trans(s199,s161)
| trans(s199,s162)
| trans(s199,s163)
| trans(s199,s164)
| trans(s199,s165)
| trans(s199,s166)
| trans(s199,s167)
| trans(s199,s168)
| trans(s199,s169)
| trans(s199,s170)
| trans(s199,s171)
| trans(s199,s172)
| trans(s199,s173)
| trans(s199,s174)
| trans(s199,s175)
| trans(s199,s176)
| trans(s199,s177)
| trans(s199,s178)
| trans(s199,s179)
| trans(s199,s180)
| trans(s199,s181)
| trans(s199,s182)
| trans(s199,s183)
| trans(s199,s184)
| trans(s199,s185)
| trans(s199,s186)
| trans(s199,s187)
| trans(s199,s188)
| trans(s199,s189)
| trans(s199,s190)
| trans(s199,s191)
| trans(s199,s192)
| trans(s199,s193)
| trans(s199,s194)
| trans(s199,s195)
| trans(s199,s196)
| trans(s199,s197)
| trans(s199,s198)
| trans(s199,s199) ) ).
cnf(m_main_1,axiom,
( m_main_v_state(X,c_ready)
| m_main_v_state(X,c_busy) ) ).
cnf(m_main_2,axiom,
( ~ m_main_v_state(X,c_ready)
| ~ m_main_v_state(X,c_busy) ) ).
cnf(m_main_3,axiom,
m_main_v_state(s0,c_ready) ).
cnf(m_main_4,axiom,
( m_main_v_state(X,c_ready)
| ~ node1(X) ) ).
cnf(m_main_5,axiom,
( m_main_v_request(X)
| ~ node1(X) ) ).
cnf(m_main_6,axiom,
( ~ m_main_v_state(X,c_ready)
| ~ m_main_v_request(X)
| m_main_v_state(Y,c_busy)
| ~ node2(X,Y) ) ).
cnf(m_main_7,axiom,
( m_main_v_state(Y,c_ready)
| m_main_v_state(Y,c_busy)
| node1(X)
| ~ node2(X,Y) ) ).
cnf(m_main_8,axiom,
( ~ trans(X,Y)
| node2(X,Y) ) ).
cnf(prpty1,negated_conjecture,
( ~ m_main_v_state(X,c_busy)
| ~ always3(X) ) ).
cnf(prpty2,negated_conjecture,
( always3(Y)
| ~ trans(X,Y)
| ~ always3(X) ) ).
cnf(prpty3,negated_conjecture,
( loop
| ~ always3(X)
| ~ last(X) ) ).
cnf(prpty4,negated_conjecture,
( m_main_v_request(X)
| ~ node4(X) ) ).
cnf(prpty5,negated_conjecture,
( always3(X)
| ~ node4(X) ) ).
cnf(prpty6,negated_conjecture,
( node4(X)
| xuntil6(X)
| ~ until5(X) ) ).
cnf(prpty7,negated_conjecture,
( until5(Y)
| ~ succ(X,Y)
| ~ xuntil6(X) ) ).
cnf(prpty8,negated_conjecture,
( loop
| ~ last(X)
| ~ xuntil6(X) ) ).
cnf(prpty9,negated_conjecture,
( until2p7(Y)
| ~ trans(X,Y)
| ~ last(X)
| ~ xuntil6(X) ) ).
cnf(prpty10,negated_conjecture,
( node4(X)
| xuntil2p8(X)
| ~ until2p7(X) ) ).
cnf(prpty11,negated_conjecture,
( until2p7(Y)
| ~ succ(X,Y)
| ~ xuntil2p8(X) ) ).
cnf(prpty12,negated_conjecture,
( ~ last(X)
| ~ xuntil2p8(X) ) ).
cnf(prpty13,negated_conjecture,
until5(s0) ).
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