TPTP Problem File: SYN514+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN514+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=110, K=3, D=2, P=0, Index=042
% Version : Especial.
% English :
% Refs : [OS95] Ohlbach & Schmidt (1995), Functional Translation and S
% : [HS97] Hustadt & Schmidt (1997), On Evaluating Decision Proce
% : [Wei97] Weidenbach (1997), Email to G. Sutcliffe
% Source : [Wei97]
% Names : alc-5-1-110-3-2-042.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.1.0, 0.50 v4.0.1, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.17 v3.2.0, 0.50 v3.1.0, 0.83 v2.7.0, 1.00 v2.6.0, 0.75 v2.5.0, 0.67 v2.4.0, 0.33 v2.3.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 739 ( 0 equ)
% Maximal formula atoms : 739 ( 739 avg)
% Number of connectives : 992 ( 254 ~; 319 |; 297 &)
% ( 0 <=>; 122 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 77 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 90 ( 90 usr; 90 con; 0-0 aty)
% Number of variables : 122 ( 122 !; 0 ?)
% SPC : FOF_CSA_EPR_NEQ
% Comments : These ALC problems have been translated from propositional
% multi-modal K logic formulae generated according to the scheme
% described in [HS97], using the optimized functional translation
% described in [OS95]. The finite model property holds, the
% Herbrand Universe is finite, they are decidable (the complexity
% is PSPACE-complete), resolution + subsumption + condensing is a
% decision procedure, and the translated formulae belong to the
% (CNF-translation of the) Bernays-Schoenfinkel class [Wei97].
%--------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ~ c4_0
& ( c1_0
| c3_0
| ! [U] :
( ndr1_0
=> ( ~ c2_1(U)
| ! [V] :
( ndr1_1(U)
=> ( c5_2(U,V)
| ~ c3_2(U,V)
| ~ c4_2(U,V) ) )
| ! [W] :
( ndr1_1(U)
=> ( ~ c1_2(U,W)
| ~ c3_2(U,W)
| ~ c5_2(U,W) ) ) ) ) )
& ( c1_0
| c5_0
| ~ c2_0 )
& ( c1_0
| ~ c2_0
| ~ c5_0 )
& ( c1_0
| ~ c2_0
| ! [X] :
( ndr1_0
=> ( ( ndr1_1(X)
& c3_2(X,a175)
& c5_2(X,a175)
& ~ c4_2(X,a175) )
| ( ndr1_1(X)
& c3_2(X,a176)
& ~ c2_2(X,a176)
& ~ c5_2(X,a176) ) ) ) )
& ( c1_0
| ~ c3_0
| ( ndr1_0
& c3_1(a177)
& ! [Y] :
( ndr1_1(a177)
=> ( c2_2(a177,Y)
| ~ c5_2(a177,Y) ) )
& ! [Z] :
( ndr1_1(a177)
=> ( c4_2(a177,Z)
| c5_2(a177,Z)
| ~ c1_2(a177,Z) ) ) ) )
& ( c1_0
| ~ c5_0
| ! [X1] :
( ndr1_0
=> ( ~ c1_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( c3_2(X1,X2)
| ~ c5_2(X1,X2) ) )
| ! [X3] :
( ndr1_1(X1)
=> ( ~ c2_2(X1,X3)
| ~ c3_2(X1,X3) ) ) ) ) )
& ( c1_0
| ! [X4] :
( ndr1_0
=> ( ~ c5_1(X4)
| ( ndr1_1(X4)
& c3_2(X4,a178)
& c4_2(X4,a178)
& c5_2(X4,a178) ) ) ) )
& ( c1_0
| ( ndr1_0
& ~ c3_1(a179)
& ndr1_1(a179)
& c5_2(a179,a180)
& ~ c1_2(a179,a180)
& ~ c3_2(a179,a180) ) )
& ( c2_0
| c3_0
| ! [X5] :
( ndr1_0
=> ( c5_1(X5)
| ~ c1_1(X5)
| ! [X6] :
( ndr1_1(X5)
=> ( c3_2(X5,X6)
| c5_2(X5,X6)
| ~ c4_2(X5,X6) ) ) ) ) )
& ( c2_0
| c5_0
| ! [X7] :
( ndr1_0
=> ( c5_1(X7)
| ! [X8] :
( ndr1_1(X7)
=> ( c1_2(X7,X8)
| ~ c4_2(X7,X8) ) )
| ( ndr1_1(X7)
& c1_2(X7,a181)
& c5_2(X7,a181)
& ~ c3_2(X7,a181) ) ) ) )
& ( c2_0
| ~ c3_0
| ( ndr1_0
& ~ c2_1(a182)
& ! [X9] :
( ndr1_1(a182)
=> ( c1_2(a182,X9)
| c5_2(a182,X9)
| ~ c4_2(a182,X9) ) ) ) )
& ( c2_0
| ~ c5_0 )
& ( c2_0
| ~ c5_0
| ! [X10] :
( ndr1_0
=> ( ~ c4_1(X10)
| ! [X11] :
( ndr1_1(X10)
=> ( c3_2(X10,X11)
| ~ c4_2(X10,X11) ) )
| ( ndr1_1(X10)
& c2_2(X10,a183)
& c4_2(X10,a183)
& ~ c3_2(X10,a183) ) ) ) )
& ( c2_0
| ! [X12] :
( ndr1_0
=> ( c2_1(X12)
| ~ c3_1(X12)
| ~ c4_1(X12) ) ) )
& ( c2_0
| ! [X13] :
( ndr1_0
=> ( ~ c5_1(X13)
| ! [X14] :
( ndr1_1(X13)
=> ( c3_2(X13,X14)
| c4_2(X13,X14)
| c5_2(X13,X14) ) )
| ( ndr1_1(X13)
& c1_2(X13,a184)
& c3_2(X13,a184)
& ~ c4_2(X13,a184) ) ) ) )
& ( c2_0
| ( ndr1_0
& c2_1(a185)
& ! [X15] :
( ndr1_1(a185)
=> ( c4_2(a185,X15)
| ~ c2_2(a185,X15) ) ) )
| ( ndr1_0
& ~ c1_1(a186)
& ! [X16] :
( ndr1_1(a186)
=> ( ~ c1_2(a186,X16)
| ~ c2_2(a186,X16)
| ~ c3_2(a186,X16) ) )
& ndr1_1(a186)
& c1_2(a186,a187)
& ~ c2_2(a186,a187)
& ~ c3_2(a186,a187) ) )
& ( c2_0
| ( ndr1_0
& c5_1(a188)
& ! [X17] :
( ndr1_1(a188)
=> ( c2_2(a188,X17)
| ~ c3_2(a188,X17)
| ~ c4_2(a188,X17) ) )
& ! [X18] :
( ndr1_1(a188)
=> ( c2_2(a188,X18)
| ~ c4_2(a188,X18) ) ) ) )
& ( c3_0
| ( ndr1_0
& ~ c3_1(a189)
& ! [X19] :
( ndr1_1(a189)
=> ( c1_2(a189,X19)
| ~ c4_2(a189,X19)
| ~ c5_2(a189,X19) ) ) ) )
& ( c3_0
| c5_0
| ! [X20] :
( ndr1_0
=> ( ~ c5_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( c3_2(X20,X21)
| c4_2(X20,X21)
| ~ c1_2(X20,X21) ) )
| ( ndr1_1(X20)
& c1_2(X20,a190)
& c2_2(X20,a190)
& ~ c5_2(X20,a190) ) ) ) )
& ( c3_0
| c5_0
| ( ndr1_0
& c2_1(a191)
& ~ c1_1(a191) ) )
& ( c3_0
| c5_0
| ( ndr1_0
& c2_1(a192)
& ~ c4_1(a192)
& ! [X22] :
( ndr1_1(a192)
=> ( c2_2(a192,X22)
| c3_2(a192,X22)
| ~ c5_2(a192,X22) ) ) ) )
& ( c3_0
| c5_0
| ( ndr1_0
& c5_1(a193)
& ! [X23] :
( ndr1_1(a193)
=> ( c1_2(a193,X23)
| c3_2(a193,X23)
| c4_2(a193,X23) ) )
& ! [X24] :
( ndr1_1(a193)
=> ( c3_2(a193,X24)
| ~ c4_2(a193,X24)
| ~ c5_2(a193,X24) ) ) ) )
& ( c3_0
| ~ c5_0
| ( ndr1_0
& c1_1(a194)
& ~ c3_1(a194)
& ! [X25] :
( ndr1_1(a194)
=> ( c5_2(a194,X25)
| ~ c1_2(a194,X25)
| ~ c4_2(a194,X25) ) ) ) )
& ( c3_0
| ! [X26] :
( ndr1_0
=> ( c1_1(X26)
| c2_1(X26)
| ( ndr1_1(X26)
& c1_2(X26,a195)
& c3_2(X26,a195)
& c5_2(X26,a195) ) ) )
| ! [X27] :
( ndr1_0
=> ( ! [X28] :
( ndr1_1(X27)
=> ( ~ c1_2(X27,X28)
| ~ c2_2(X27,X28) ) )
| ! [X29] :
( ndr1_1(X27)
=> ( ~ c3_2(X27,X29)
| ~ c4_2(X27,X29)
| ~ c5_2(X27,X29) ) )
| ( ndr1_1(X27)
& c4_2(X27,a196)
& ~ c3_2(X27,a196)
& ~ c5_2(X27,a196) ) ) ) )
& ( c3_0
| ! [X30] :
( ndr1_0
=> ( c2_1(X30)
| c4_1(X30)
| ! [X31] :
( ndr1_1(X30)
=> ( c4_2(X30,X31)
| ~ c1_2(X30,X31)
| ~ c2_2(X30,X31) ) ) ) )
| ! [X32] :
( ndr1_0
=> ( c5_1(X32)
| ~ c2_1(X32)
| ( ndr1_1(X32)
& ~ c1_2(X32,a197)
& ~ c2_2(X32,a197)
& ~ c5_2(X32,a197) ) ) ) )
& ( c3_0
| ! [X33] :
( ndr1_0
=> ( ~ c4_1(X33)
| ~ c5_1(X33)
| ( ndr1_1(X33)
& c5_2(X33,a198)
& ~ c1_2(X33,a198) ) ) )
| ( ndr1_0
& ~ c1_1(a199)
& ~ c4_1(a199)
& ! [X34] :
( ndr1_1(a199)
=> ( c3_2(a199,X34)
| ~ c1_2(a199,X34)
| ~ c4_2(a199,X34) ) ) ) )
& ( c3_0
| ( ndr1_0
& c2_1(a200) )
| ( ndr1_0
& c2_1(a201)
& ~ c1_1(a201) ) )
& ( c5_0
| ~ c2_0 )
& ( c5_0
| ( ndr1_0
& c3_1(a202)
& ! [X35] :
( ndr1_1(a202)
=> ( c2_2(a202,X35)
| c5_2(a202,X35)
| ~ c1_2(a202,X35) ) ) ) )
& ( ~ c5_0
| ! [X36] :
( ndr1_0
=> ( c2_1(X36)
| ( ndr1_1(X36)
& c4_2(X36,a203)
& ~ c1_2(X36,a203) )
| ( ndr1_1(X36)
& c4_2(X36,a204)
& ~ c2_2(X36,a204) ) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c2_1(X37)
| c5_1(X37)
| ! [X38] :
( ndr1_1(X37)
=> ( c3_2(X37,X38)
| ~ c2_2(X37,X38)
| ~ c4_2(X37,X38) ) ) ) )
| ! [X39] :
( ndr1_0
=> ( c4_1(X39)
| ! [X40] :
( ndr1_1(X39)
=> ( c2_2(X39,X40)
| ~ c1_2(X39,X40)
| ~ c3_2(X39,X40) ) )
| ( ndr1_1(X39)
& c3_2(X39,a205)
& c4_2(X39,a205)
& c5_2(X39,a205) ) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c4_1(X41)
| ! [X42] :
( ndr1_1(X41)
=> ( c2_2(X41,X42)
| ~ c1_2(X41,X42) ) )
| ( ndr1_1(X41)
& c3_2(X41,a206)
& c5_2(X41,a206) ) ) )
| ( ndr1_0
& c4_1(a207)
& ~ c2_1(a207)
& ndr1_1(a207)
& c4_2(a207,a208)
& c5_2(a207,a208)
& ~ c3_2(a207,a208) ) )
& ( c5_0
| ~ c1_0
| ( ndr1_0
& c3_1(a209)
& ~ c4_1(a209)
& ndr1_1(a209)
& c2_2(a209,a210)
& ~ c3_2(a209,a210) ) )
& ( c5_0
| ~ c2_0 )
& ( c5_0
| ~ c3_0
| ( ndr1_0
& c3_1(a211)
& ! [X43] :
( ndr1_1(a211)
=> ( c2_2(a211,X43)
| c5_2(a211,X43)
| ~ c1_2(a211,X43) ) )
& ndr1_1(a211)
& c2_2(a211,a212)
& c5_2(a211,a212)
& ~ c1_2(a211,a212) ) )
& ( c5_0
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| ( ndr1_1(X44)
& c4_2(X44,a213)
& ~ c2_2(X44,a213) ) ) )
| ( ndr1_0
& ~ c3_1(a214)
& ! [X45] :
( ndr1_1(a214)
=> ( c3_2(a214,X45)
| ~ c2_2(a214,X45)
| ~ c4_2(a214,X45) ) )
& ndr1_1(a214)
& ~ c1_2(a214,a215)
& ~ c3_2(a214,a215)
& ~ c5_2(a214,a215) ) )
& ( c5_0
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| ( ndr1_1(X46)
& c2_2(X46,a216)
& ~ c3_2(X46,a216) )
| ( ndr1_1(X46)
& c3_2(X46,a217)
& ~ c2_2(X46,a217) ) ) ) )
& ( c5_0
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ! [X48] :
( ndr1_1(X47)
=> ( c1_2(X47,X48)
| c4_2(X47,X48)
| c5_2(X47,X48) ) )
| ( ndr1_1(X47)
& c1_2(X47,a218)
& c2_2(X47,a218)
& ~ c5_2(X47,a218) ) ) )
| ( ndr1_0
& ~ c3_1(a219)
& ndr1_1(a219)
& c2_2(a219,a220)
& ~ c3_2(a219,a220) ) )
& ( c5_0
| ! [X49] :
( ndr1_0
=> ( ! [X50] :
( ndr1_1(X49)
=> ( c1_2(X49,X50)
| c5_2(X49,X50)
| ~ c4_2(X49,X50) ) )
| ! [X51] :
( ndr1_1(X49)
=> ( c2_2(X49,X51)
| ~ c1_2(X49,X51)
| ~ c5_2(X49,X51) ) )
| ( ndr1_1(X49)
& c2_2(X49,a221)
& c4_2(X49,a221)
& c5_2(X49,a221) ) ) ) )
& ( c5_0
| ! [X52] :
( ndr1_0
=> ( ! [X53] :
( ndr1_1(X52)
=> ( c1_2(X52,X53)
| ~ c5_2(X52,X53) ) )
| ( ndr1_1(X52)
& c1_2(X52,a222)
& ~ c2_2(X52,a222) )
| ( ndr1_1(X52)
& c2_2(X52,a223)
& c3_2(X52,a223)
& ~ c5_2(X52,a223) ) ) ) )
& ( c5_0
| ! [X54] :
( ndr1_0
=> ( ! [X55] :
( ndr1_1(X54)
=> ( c2_2(X54,X55)
| ~ c3_2(X54,X55)
| ~ c5_2(X54,X55) ) )
| ! [X56] :
( ndr1_1(X54)
=> ( c3_2(X54,X56)
| c5_2(X54,X56)
| ~ c4_2(X54,X56) ) )
| ( ndr1_1(X54)
& c1_2(X54,a224)
& c4_2(X54,a224)
& ~ c5_2(X54,a224) ) ) ) )
& ( c5_0
| ( ndr1_0
& c3_1(a225)
& c4_1(a225)
& ! [X57] :
( ndr1_1(a225)
=> ( c1_2(a225,X57)
| ~ c2_2(a225,X57) ) ) )
| ( ndr1_0
& ! [X58] :
( ndr1_1(a226)
=> ( c1_2(a226,X58)
| ~ c2_2(a226,X58)
| ~ c4_2(a226,X58) ) )
& ! [X59] :
( ndr1_1(a226)
=> ( ~ c2_2(a226,X59)
| ~ c3_2(a226,X59)
| ~ c4_2(a226,X59) ) ) ) )
& ( ~ c1_0
| ~ c2_0 )
& ( ~ c1_0
| ~ c2_0
| ~ c3_0 )
& ( ~ c1_0
| ~ c3_0
| ~ c5_0 )
& ( ~ c1_0
| ~ c3_0
| ( ndr1_0
& c3_1(a227)
& ! [X60] :
( ndr1_1(a227)
=> ( c2_2(a227,X60)
| ~ c3_2(a227,X60)
| ~ c4_2(a227,X60) ) )
& ndr1_1(a227)
& c4_2(a227,a228)
& ~ c2_2(a227,a228)
& ~ c5_2(a227,a228) ) )
& ( ~ c1_0
| ~ c5_0
| ( ndr1_0
& ~ c3_1(a229)
& ~ c4_1(a229)
& ndr1_1(a229)
& c3_2(a229,a230)
& c4_2(a229,a230) ) )
& ( ~ c1_0
| ! [X61] :
( ndr1_0
=> ( c4_1(X61)
| ~ c1_1(X61)
| ! [X62] :
( ndr1_1(X61)
=> ( c1_2(X61,X62)
| ~ c4_2(X61,X62) ) ) ) )
| ( ndr1_0
& ~ c2_1(a231)
& ndr1_1(a231)
& c1_2(a231,a232)
& c2_2(a231,a232)
& c5_2(a231,a232) ) )
& ( ~ c1_0
| ! [X63] :
( ndr1_0
=> ( c4_1(X63)
| ! [X64] :
( ndr1_1(X63)
=> ( c3_2(X63,X64)
| ~ c4_2(X63,X64)
| ~ c5_2(X63,X64) ) )
| ( ndr1_1(X63)
& c3_2(X63,a233)
& ~ c5_2(X63,a233) ) ) )
| ! [X65] :
( ndr1_0
=> ( c5_1(X65)
| ~ c4_1(X65)
| ! [X66] :
( ndr1_1(X65)
=> ( c2_2(X65,X66)
| ~ c3_2(X65,X66) ) ) ) ) )
& ( ~ c1_0
| ! [X67] :
( ndr1_0
=> ( ~ c5_1(X67)
| ! [X68] :
( ndr1_1(X67)
=> ( c1_2(X67,X68)
| ~ c3_2(X67,X68) ) )
| ( ndr1_1(X67)
& c5_2(X67,a234)
& ~ c4_2(X67,a234) ) ) )
| ( ndr1_0
& ~ c1_1(a235)
& ! [X69] :
( ndr1_1(a235)
=> ( c3_2(a235,X69)
| c4_2(a235,X69)
| ~ c5_2(a235,X69) ) )
& ndr1_1(a235)
& ~ c2_2(a235,a236)
& ~ c4_2(a235,a236)
& ~ c5_2(a235,a236) ) )
& ( ~ c2_0
| ( ndr1_0
& c3_1(a237)
& ~ c4_1(a237)
& ! [X70] :
( ndr1_1(a237)
=> ( c5_2(a237,X70)
| ~ c3_2(a237,X70) ) ) ) )
& ( ~ c3_0
| ~ c5_0 )
& ( ~ c3_0
| ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ! [X72] :
( ndr1_1(X71)
=> ( ~ c1_2(X71,X72)
| ~ c3_2(X71,X72) ) ) ) ) )
& ( ~ c3_0
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| c5_1(X73)
| ( ndr1_1(X73)
& c4_2(X73,a238)
& ~ c1_2(X73,a238) ) ) )
| ! [X74] :
( ndr1_0
=> ( c5_1(X74)
| ! [X75] :
( ndr1_1(X74)
=> ( c4_2(X74,X75)
| ~ c1_2(X74,X75)
| ~ c3_2(X74,X75) ) )
| ! [X76] :
( ndr1_1(X74)
=> ( ~ c1_2(X74,X76)
| ~ c3_2(X74,X76)
| ~ c4_2(X74,X76) ) ) ) ) )
& ( ~ c3_0
| ! [X77] :
( ndr1_0
=> ( c4_1(X77)
| c5_1(X77)
| ~ c1_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c5_1(X78)
| ! [X79] :
( ndr1_1(X78)
=> ( c2_2(X78,X79)
| c5_2(X78,X79)
| ~ c1_2(X78,X79) ) ) ) ) )
& ( ~ c3_0
| ! [X80] :
( ndr1_0
=> ( c4_1(X80)
| ~ c5_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( ~ c3_1(X81)
| ~ c5_1(X81)
| ( ndr1_1(X81)
& c1_2(X81,a239)
& c3_2(X81,a239)
& c4_2(X81,a239) ) ) ) )
& ( ~ c3_0
| ! [X82] :
( ndr1_0
=> ( c5_1(X82)
| ! [X83] :
( ndr1_1(X82)
=> ( c4_2(X82,X83)
| ~ c1_2(X82,X83)
| ~ c2_2(X82,X83) ) )
| ! [X84] :
( ndr1_1(X82)
=> ( ~ c1_2(X82,X84)
| ~ c5_2(X82,X84) ) ) ) )
| ( ndr1_0
& c2_1(a240)
& ~ c3_1(a240) ) )
& ( ! [X85] :
( ndr1_0
=> ( c1_1(X85)
| ~ c2_1(X85)
| ! [X86] :
( ndr1_1(X85)
=> ( c1_2(X85,X86)
| c3_2(X85,X86)
| ~ c4_2(X85,X86) ) ) ) )
| ! [X87] :
( ndr1_0
=> ( c1_1(X87)
| ~ c2_1(X87)
| ! [X88] :
( ndr1_1(X87)
=> ( c1_2(X87,X88)
| c4_2(X87,X88) ) ) ) )
| ( ndr1_0
& c4_1(a241)
& ! [X89] :
( ndr1_1(a241)
=> ~ c4_2(a241,X89) )
& ndr1_1(a241)
& c3_2(a241,a242)
& ~ c2_2(a241,a242)
& ~ c4_2(a241,a242) ) )
& ( ! [X90] :
( ndr1_0
=> ( c2_1(X90)
| c3_1(X90)
| ! [X91] :
( ndr1_1(X90)
=> ( c3_2(X90,X91)
| ~ c2_2(X90,X91)
| ~ c4_2(X90,X91) ) ) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c4_1(X92)
| ! [X93] :
( ndr1_1(X92)
=> ( ~ c1_2(X92,X93)
| ~ c2_2(X92,X93)
| ~ c5_2(X92,X93) ) ) ) )
| ( ndr1_0
& ~ c2_1(a243)
& ! [X94] :
( ndr1_1(a243)
=> ( c1_2(a243,X94)
| c4_2(a243,X94)
| ~ c3_2(a243,X94) ) )
& ndr1_1(a243)
& c2_2(a243,a244)
& ~ c3_2(a243,a244) ) )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ! [X96] :
( ndr1_1(X95)
=> ( c1_2(X95,X96)
| c5_2(X95,X96)
| ~ c4_2(X95,X96) ) )
| ! [X97] :
( ndr1_1(X95)
=> ( c2_2(X95,X97)
| ~ c5_2(X95,X97) ) ) ) )
| ! [X98] :
( ndr1_0
=> ( c3_1(X98)
| ! [X99] :
( ndr1_1(X98)
=> ( c1_2(X98,X99)
| c2_2(X98,X99) ) ) ) )
| ! [X100] :
( ndr1_0
=> ( c4_1(X100)
| ~ c5_1(X100)
| ! [X101] :
( ndr1_1(X100)
=> ( c2_2(X100,X101)
| c4_2(X100,X101)
| ~ c5_2(X100,X101) ) ) ) ) )
& ( ! [X102] :
( ndr1_0
=> ( c3_1(X102)
| ( ndr1_1(X102)
& c1_2(X102,a245)
& c4_2(X102,a245)
& c5_2(X102,a245) )
| ( ndr1_1(X102)
& ~ c1_2(X102,a246)
& ~ c4_2(X102,a246)
& ~ c5_2(X102,a246) ) ) )
| ! [X103] :
( ndr1_0
=> ( c4_1(X103)
| ~ c3_1(X103)
| ( ndr1_1(X103)
& c3_2(X103,a247)
& ~ c4_2(X103,a247) ) ) )
| ( ndr1_0
& c4_1(a248)
& ~ c5_1(a248) ) )
& ( ! [X104] :
( ndr1_0
=> ( c4_1(X104)
| ~ c1_1(X104) ) )
| ! [X105] :
( ndr1_0
=> ( ~ c3_1(X105)
| ~ c5_1(X105)
| ! [X106] :
( ndr1_1(X105)
=> ( c2_2(X105,X106)
| c3_2(X105,X106)
| ~ c5_2(X105,X106) ) ) ) )
| ( ndr1_0
& ! [X107] :
( ndr1_1(a249)
=> ( c1_2(a249,X107)
| c2_2(a249,X107)
| c4_2(a249,X107) ) )
& ! [X108] :
( ndr1_1(a249)
=> ( c1_2(a249,X108)
| ~ c5_2(a249,X108) ) )
& ! [X109] :
( ndr1_1(a249)
=> ( c4_2(a249,X109)
| ~ c1_2(a249,X109)
| ~ c2_2(a249,X109) ) ) ) )
& ( ! [X110] :
( ndr1_0
=> ( c4_1(X110)
| ~ c5_1(X110)
| ( ndr1_1(X110)
& c1_2(X110,a250)
& ~ c4_2(X110,a250) ) ) )
| ! [X111] :
( ndr1_0
=> ( ~ c1_1(X111)
| ~ c2_1(X111)
| ! [X112] :
( ndr1_1(X111)
=> ( c5_2(X111,X112)
| ~ c2_2(X111,X112) ) ) ) ) )
& ( ! [X113] :
( ndr1_0
=> ( c5_1(X113)
| ( ndr1_1(X113)
& c1_2(X113,a251)
& ~ c5_2(X113,a251) )
| ( ndr1_1(X113)
& c2_2(X113,a252)
& c5_2(X113,a252)
& ~ c1_2(X113,a252) ) ) )
| ( ndr1_0
& c1_1(a253)
& ~ c4_1(a253)
& ndr1_1(a253)
& c2_2(a253,a254)
& c3_2(a253,a254)
& c5_2(a253,a254) )
| ( ndr1_0
& ~ c3_1(a255) ) )
& ( ! [X114] :
( ndr1_0
=> ( ~ c2_1(X114)
| ( ndr1_1(X114)
& c1_2(X114,a256)
& c3_2(X114,a256) ) ) )
| ( ndr1_0
& c4_1(a257)
& ~ c1_1(a257)
& ndr1_1(a257)
& c5_2(a257,a258)
& ~ c4_2(a257,a258) )
| ( ndr1_0
& ~ c1_1(a259)
& ! [X115] :
( ndr1_1(a259)
=> ( ~ c1_2(a259,X115)
| ~ c5_2(a259,X115) ) ) ) )
& ( ( ndr1_0
& c1_1(a260)
& ~ c4_1(a260)
& ndr1_1(a260)
& c1_2(a260,a261)
& c2_2(a260,a261)
& c4_2(a260,a261) )
| ( ndr1_0
& c5_1(a262)
& ! [X116] :
( ndr1_1(a262)
=> ( c4_2(a262,X116)
| ~ c3_2(a262,X116)
| ~ c5_2(a262,X116) ) ) )
| ( ndr1_0
& ~ c1_1(a263)
& ndr1_1(a263)
& c1_2(a263,a264)
& c3_2(a263,a264)
& ~ c4_2(a263,a264) ) ) ) ).
%--------------------------------------------------------------------------