TPTP Problem File: SYN422+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN422+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=10, R=1, L=110, K=3, D=2, P=0, Index=097
% 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-10-1-110-3-2-097.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 0.00 v4.1.0, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.17 v3.2.0, 0.25 v3.1.0, 0.50 v2.7.0, 0.83 v2.6.0, 0.50 v2.5.0, 0.33 v2.3.0, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1159 ( 0 equ)
% Maximal formula atoms : 1159 (1159 avg)
% Number of connectives : 1590 ( 432 ~; 474 |; 524 &)
% ( 0 <=>; 160 =>; 0 <=; 0 <~>)
% Maximal formula depth : 105 ( 105 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 32 usr; 11 prp; 0-2 aty)
% Number of functors : 153 ( 153 usr; 153 con; 0-0 aty)
% Number of variables : 160 ( 160 !; 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,
~ ( ( c9_0
| ( ndr1_0
& ~ c9_1(a608)
& ~ c10_1(a608)
& ~ c4_1(a608) )
| c1_0 )
& ( ( ndr1_0
& ~ c5_1(a609)
& ~ c10_1(a609)
& ~ c8_1(a609) )
| ~ c8_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( ~ c5_2(U,V)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ) )
| ( ndr1_1(U)
& c3_2(U,a610)
& c4_2(U,a610)
& c9_2(U,a610) )
| ! [W] :
( ndr1_1(U)
=> ( c9_2(U,W)
| c6_2(U,W)
| ~ c1_2(U,W) ) ) ) ) )
& ( ( ndr1_0
& c3_1(a611)
& ! [X] :
( ndr1_1(a611)
=> ( c3_2(a611,X)
| ~ c8_2(a611,X) ) )
& ndr1_1(a611)
& ~ c1_2(a611,a612)
& ~ c9_2(a611,a612)
& ~ c8_2(a611,a612) )
| ! [Y] :
( ndr1_0
=> ( c2_1(Y)
| c10_1(Y)
| ( ndr1_1(Y)
& c9_2(Y,a613)
& ~ c2_2(Y,a613) ) ) )
| ~ c5_0 )
& ( c9_0
| ( ndr1_0
& ndr1_1(a614)
& c3_2(a614,a615)
& ~ c5_2(a614,a615)
& ndr1_1(a614)
& c9_2(a614,a616)
& c10_2(a614,a616)
& ~ c1_2(a614,a616)
& ! [Z] :
( ndr1_1(a614)
=> ( c9_2(a614,Z)
| c7_2(a614,Z) ) ) )
| ~ c2_0 )
& ( ( ndr1_0
& c5_1(a617)
& c9_1(a617)
& ~ c10_1(a617) )
| ~ c3_0
| ( ndr1_0
& ! [X1] :
( ndr1_1(a618)
=> ( ~ c9_2(a618,X1)
| ~ c8_2(a618,X1)
| c4_2(a618,X1) ) )
& ! [X2] :
( ndr1_1(a618)
=> ( c6_2(a618,X2)
| ~ c10_2(a618,X2)
| c8_2(a618,X2) ) )
& c3_1(a618) ) )
& ( c3_0
| ! [X3] :
( ndr1_0
=> ( ! [X4] :
( ndr1_1(X3)
=> ( ~ c9_2(X3,X4)
| c4_2(X3,X4) ) )
| c7_1(X3)
| ( ndr1_1(X3)
& ~ c3_2(X3,a619)
& c7_2(X3,a619) ) ) )
| ! [X5] :
( ndr1_0
=> ( ~ c9_1(X5)
| ~ c5_1(X5)
| c2_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ! [X7] :
( ndr1_1(X6)
=> ( c1_2(X6,X7)
| ~ c3_2(X6,X7)
| c6_2(X6,X7) ) )
| ( ndr1_1(X6)
& ~ c4_2(X6,a620)
& c1_2(X6,a620)
& c5_2(X6,a620) ) ) )
| c9_0
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( c9_2(X8,X9)
| ~ c3_2(X8,X9)
| ~ c10_2(X8,X9) ) )
| ~ c5_1(X8)
| ! [X10] :
( ndr1_1(X8)
=> ( ~ c6_2(X8,X10)
| c7_2(X8,X10)
| ~ c4_2(X8,X10) ) ) ) ) )
& ( ~ c9_0
| ~ c5_0
| ! [X11] :
( ndr1_0
=> ( ~ c8_1(X11)
| ~ c3_1(X11)
| c1_1(X11) ) ) )
& ( ( ndr1_0
& ~ c3_1(a621)
& c1_1(a621)
& ! [X12] :
( ndr1_1(a621)
=> ( ~ c2_2(a621,X12)
| c1_2(a621,X12)
| c6_2(a621,X12) ) ) )
| ~ c9_0
| ( ndr1_0
& c4_1(a622)
& ~ c8_1(a622)
& ndr1_1(a622)
& c6_2(a622,a623)
& c1_2(a622,a623)
& c2_2(a622,a623) ) )
& ( ! [X13] :
( ndr1_0
=> ( ( ndr1_1(X13)
& c5_2(X13,a624)
& ~ c9_2(X13,a624) )
| c4_1(X13)
| c2_1(X13) ) )
| c8_0
| ( ndr1_0
& c1_1(a625)
& ndr1_1(a625)
& c3_2(a625,a626)
& c6_2(a625,a626)
& c3_1(a625) ) )
& ( ! [X14] :
( ndr1_0
=> ( ~ c8_1(X14)
| ( ndr1_1(X14)
& ~ c10_2(X14,a627)
& ~ c5_2(X14,a627)
& ~ c2_2(X14,a627) )
| ~ c7_1(X14) ) )
| ~ c7_0
| ( ndr1_0
& ndr1_1(a628)
& ~ c5_2(a628,a629)
& ~ c8_2(a628,a629)
& c3_2(a628,a629)
& c1_1(a628)
& ~ c7_1(a628) ) )
& ( c8_0
| ( ndr1_0
& c7_1(a630)
& ~ c6_1(a630)
& c9_1(a630) )
| c2_0 )
& ( c9_0
| ~ c5_0
| ~ c6_0 )
& ( c7_0
| c2_0
| ! [X15] :
( ndr1_0
=> ( c10_1(X15)
| ! [X16] :
( ndr1_1(X15)
=> ( ~ c3_2(X15,X16)
| c5_2(X15,X16)
| ~ c6_2(X15,X16) ) )
| c3_1(X15) ) ) )
& ( ( ndr1_0
& ! [X17] :
( ndr1_1(a631)
=> ( ~ c1_2(a631,X17)
| ~ c6_2(a631,X17)
| c7_2(a631,X17) ) )
& ndr1_1(a631)
& c10_2(a631,a632)
& c8_2(a631,a632)
& ~ c2_2(a631,a632)
& c5_1(a631) )
| ( ndr1_0
& c10_1(a633)
& ndr1_1(a633)
& c9_2(a633,a634)
& ~ c10_2(a633,a634)
& ~ c2_1(a633) )
| ! [X18] :
( ndr1_0
=> ( ! [X19] :
( ndr1_1(X18)
=> ( ~ c8_2(X18,X19)
| c4_2(X18,X19)
| c1_2(X18,X19) ) )
| ~ c6_1(X18)
| ~ c8_1(X18) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( ! [X21] :
( ndr1_1(X20)
=> ( c2_2(X20,X21)
| ~ c9_2(X20,X21)
| ~ c8_2(X20,X21) ) )
| ~ c4_1(X20)
| ~ c3_1(X20) ) )
| ! [X22] :
( ndr1_0
=> ( ( ndr1_1(X22)
& c8_2(X22,a635)
& c3_2(X22,a635)
& ~ c2_2(X22,a635) )
| ( ndr1_1(X22)
& ~ c4_2(X22,a636)
& c10_2(X22,a636)
& c8_2(X22,a636) )
| ! [X23] :
( ndr1_1(X22)
=> ( ~ c10_2(X22,X23)
| c5_2(X22,X23)
| c8_2(X22,X23) ) ) ) )
| c3_0 )
& ( ! [X24] :
( ndr1_0
=> ( ~ c4_1(X24)
| ~ c5_1(X24)
| ~ c6_1(X24) ) )
| ( ndr1_0
& c8_1(a637)
& c5_1(a637)
& c3_1(a637) )
| ~ c2_0 )
& ( c8_0
| ~ c2_0
| ! [X25] :
( ndr1_0
=> ( ~ c1_1(X25)
| ! [X26] :
( ndr1_1(X25)
=> ( c6_2(X25,X26)
| ~ c3_2(X25,X26) ) )
| ( ndr1_1(X25)
& ~ c2_2(X25,a638)
& c1_2(X25,a638) ) ) ) )
& ( c2_0
| c9_0 )
& ( c5_0
| c8_0
| ! [X27] :
( ndr1_0
=> ( ! [X28] :
( ndr1_1(X27)
=> ( ~ c8_2(X27,X28)
| ~ c9_2(X27,X28)
| ~ c1_2(X27,X28) ) )
| ~ c3_1(X27)
| ! [X29] :
( ndr1_1(X27)
=> ( c7_2(X27,X29)
| ~ c10_2(X27,X29) ) ) ) ) )
& ( c2_0
| ! [X30] :
( ndr1_0
=> ( c10_1(X30)
| ! [X31] :
( ndr1_1(X30)
=> ( ~ c3_2(X30,X31)
| ~ c6_2(X30,X31)
| ~ c8_2(X30,X31) ) )
| ! [X32] :
( ndr1_1(X30)
=> ( ~ c10_2(X30,X32)
| ~ c3_2(X30,X32)
| ~ c9_2(X30,X32) ) ) ) )
| ( ndr1_0
& ~ c2_1(a639)
& ~ c8_1(a639)
& ndr1_1(a639)
& ~ c3_2(a639,a640)
& c8_2(a639,a640)
& ~ c1_2(a639,a640) ) )
& ( ( ndr1_0
& ndr1_1(a641)
& c8_2(a641,a642)
& c6_2(a641,a642)
& c2_2(a641,a642)
& ndr1_1(a641)
& ~ c5_2(a641,a643)
& ~ c8_2(a641,a643)
& ndr1_1(a641)
& ~ c8_2(a641,a644)
& ~ c5_2(a641,a644)
& ~ c9_2(a641,a644) )
| ( ndr1_0
& ! [X33] :
( ndr1_1(a645)
=> ( ~ c2_2(a645,X33)
| ~ c5_2(a645,X33)
| ~ c9_2(a645,X33) ) )
& ndr1_1(a645)
& ~ c9_2(a645,a646)
& ~ c3_2(a645,a646)
& ~ c5_2(a645,a646)
& ndr1_1(a645)
& ~ c9_2(a645,a647)
& ~ c3_2(a645,a647)
& c5_2(a645,a647) )
| c10_0 )
& ( ( ndr1_0
& ! [X34] :
( ndr1_1(a648)
=> ( ~ c7_2(a648,X34)
| ~ c3_2(a648,X34) ) )
& ~ c7_1(a648)
& c3_1(a648) )
| ! [X35] :
( ndr1_0
=> ( ~ c9_1(X35)
| c2_1(X35)
| ! [X36] :
( ndr1_1(X35)
=> ( ~ c10_2(X35,X36)
| c5_2(X35,X36)
| c2_2(X35,X36) ) ) ) )
| c6_0 )
& ( ( ndr1_0
& ~ c1_1(a649)
& c9_1(a649)
& ~ c8_1(a649) )
| ! [X37] :
( ndr1_0
=> ( ( ndr1_1(X37)
& c7_2(X37,a650)
& c1_2(X37,a650)
& c5_2(X37,a650) )
| ~ c1_1(X37)
| c7_1(X37) ) )
| ~ c5_0 )
& ( ( ndr1_0
& ~ c5_1(a651)
& ~ c9_1(a651)
& ~ c7_1(a651) )
| ( ndr1_0
& ~ c2_1(a652)
& ndr1_1(a652)
& c1_2(a652,a653)
& ~ c5_2(a652,a653)
& ~ c10_2(a652,a653)
& ~ c8_1(a652) )
| ! [X38] :
( ndr1_0
=> ( ! [X39] :
( ndr1_1(X38)
=> ( ~ c10_2(X38,X39)
| ~ c3_2(X38,X39)
| c8_2(X38,X39) ) )
| ! [X40] :
( ndr1_1(X38)
=> ( c6_2(X38,X40)
| c4_2(X38,X40)
| ~ c3_2(X38,X40) ) )
| c8_1(X38) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( ~ c4_1(X41)
| ! [X42] :
( ndr1_1(X41)
=> ( ~ c2_2(X41,X42)
| c10_2(X41,X42)
| c6_2(X41,X42) ) )
| ( ndr1_1(X41)
& c1_2(X41,a654)
& ~ c9_2(X41,a654)
& ~ c4_2(X41,a654) ) ) )
| c9_0 )
& ( ( ndr1_0
& c2_1(a655)
& ! [X43] :
( ndr1_1(a655)
=> ( ~ c2_2(a655,X43)
| ~ c10_2(a655,X43)
| c3_2(a655,X43) ) )
& ! [X44] :
( ndr1_1(a655)
=> ( c9_2(a655,X44)
| c6_2(a655,X44)
| c3_2(a655,X44) ) ) )
| ( ndr1_0
& ndr1_1(a656)
& c6_2(a656,a657)
& c3_2(a656,a657)
& c7_1(a656)
& c1_1(a656) )
| ~ c3_0 )
& ( c3_0
| ~ c6_0
| ~ c8_0 )
& ( ~ c8_0
| ( ndr1_0
& c7_1(a658)
& ! [X45] :
( ndr1_1(a658)
=> ( ~ c5_2(a658,X45)
| ~ c3_2(a658,X45)
| ~ c4_2(a658,X45) ) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c7_1(X46)
| ( ndr1_1(X46)
& ~ c8_2(X46,a659)
& ~ c5_2(X46,a659)
& ~ c7_2(X46,a659) )
| ~ c4_1(X46) ) )
| c6_0
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| c5_1(X47)
| ! [X48] :
( ndr1_1(X47)
=> ( c8_2(X47,X48)
| c6_2(X47,X48)
| c4_2(X47,X48) ) ) ) ) )
& ( ! [X49] :
( ndr1_0
=> ( ! [X50] :
( ndr1_1(X49)
=> ( c1_2(X49,X50)
| ~ c10_2(X49,X50)
| c5_2(X49,X50) ) )
| c8_1(X49) ) )
| ~ c3_0
| c9_0 )
& ( ( ndr1_0
& c5_1(a660)
& ~ c10_1(a660)
& ~ c6_1(a660) )
| ! [X51] :
( ndr1_0
=> ( ( ndr1_1(X51)
& ~ c1_2(X51,a661)
& c5_2(X51,a661)
& ~ c6_2(X51,a661) )
| ~ c8_1(X51)
| ( ndr1_1(X51)
& ~ c6_2(X51,a662)
& c10_2(X51,a662)
& ~ c2_2(X51,a662) ) ) ) )
& ( ( ndr1_0
& c7_1(a663)
& c1_1(a663)
& ! [X52] :
( ndr1_1(a663)
=> ( c1_2(a663,X52)
| c4_2(a663,X52)
| ~ c3_2(a663,X52) ) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c10_1(X53)
| ! [X54] :
( ndr1_1(X53)
=> ( c1_2(X53,X54)
| ~ c7_2(X53,X54)
| ~ c8_2(X53,X54) ) )
| ~ c9_1(X53) ) )
| ! [X55] :
( ndr1_0
=> ( ~ c9_1(X55)
| ( ndr1_1(X55)
& c5_2(X55,a664)
& c2_2(X55,a664)
& c7_2(X55,a664) ) ) ) )
& ( ~ c10_0
| c3_0 )
& ( ! [X56] :
( ndr1_0
=> ( c2_1(X56)
| ! [X57] :
( ndr1_1(X56)
=> ( ~ c9_2(X56,X57)
| ~ c10_2(X56,X57)
| ~ c1_2(X56,X57) ) )
| ~ c6_1(X56) ) )
| ~ c4_0
| ~ c3_0 )
& ( c6_0
| ( ndr1_0
& ! [X58] :
( ndr1_1(a665)
=> ( ~ c1_2(a665,X58)
| c7_2(a665,X58)
| ~ c4_2(a665,X58) ) )
& ~ c2_1(a665)
& ! [X59] :
( ndr1_1(a665)
=> ( c4_2(a665,X59)
| c9_2(a665,X59) ) ) )
| ! [X60] :
( ndr1_0
=> ( c7_1(X60)
| ~ c3_1(X60)
| ( ndr1_1(X60)
& c8_2(X60,a666)
& ~ c7_2(X60,a666)
& c3_2(X60,a666) ) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( ( ndr1_1(X61)
& c1_2(X61,a667)
& ~ c10_2(X61,a667)
& c6_2(X61,a667) )
| ! [X62] :
( ndr1_1(X61)
=> ( c8_2(X61,X62)
| ~ c2_2(X61,X62)
| c3_2(X61,X62) ) )
| ! [X63] :
( ndr1_1(X61)
=> ( c1_2(X61,X63)
| ~ c8_2(X61,X63)
| c5_2(X61,X63) ) ) ) )
| ~ c4_0
| ~ c5_0 )
& ( ( ndr1_0
& ! [X64] :
( ndr1_1(a668)
=> ( ~ c4_2(a668,X64)
| c1_2(a668,X64) ) )
& ! [X65] :
( ndr1_1(a668)
=> ( c2_2(a668,X65)
| ~ c8_2(a668,X65)
| ~ c3_2(a668,X65) ) )
& ~ c9_1(a668) )
| c5_0
| ( ndr1_0
& ! [X66] :
( ndr1_1(a669)
=> ( c6_2(a669,X66)
| c1_2(a669,X66) ) )
& ~ c2_1(a669)
& ! [X67] :
( ndr1_1(a669)
=> ( c4_2(a669,X67)
| c5_2(a669,X67)
| c3_2(a669,X67) ) ) ) )
& ( ~ c7_0
| ~ c2_0
| ~ c1_0 )
& ( ( ndr1_0
& ~ c3_1(a670)
& c9_1(a670)
& c8_1(a670) )
| ! [X68] :
( ndr1_0
=> ( ~ c3_1(X68)
| ( ndr1_1(X68)
& c8_2(X68,a671)
& ~ c1_2(X68,a671)
& c2_2(X68,a671) )
| ! [X69] :
( ndr1_1(X68)
=> ( c10_2(X68,X69)
| c7_2(X68,X69)
| c3_2(X68,X69) ) ) ) )
| ~ c9_0 )
& ( ( ndr1_0
& c7_1(a672)
& ~ c6_1(a672)
& c8_1(a672) )
| c10_0
| ~ c2_0 )
& ( ( ndr1_0
& ndr1_1(a673)
& ~ c4_2(a673,a674)
& c3_2(a673,a674)
& c9_1(a673)
& ! [X70] :
( ndr1_1(a673)
=> ( ~ c6_2(a673,X70)
| ~ c3_2(a673,X70)
| c4_2(a673,X70) ) ) )
| ! [X71] :
( ndr1_0
=> ( ! [X72] :
( ndr1_1(X71)
=> ( c3_2(X71,X72)
| c6_2(X71,X72)
| ~ c2_2(X71,X72) ) )
| ~ c3_1(X71)
| ~ c6_1(X71) ) )
| c9_0 )
& ( ~ c9_0
| ~ c7_0
| ! [X73] :
( ndr1_0
=> ( ( ndr1_1(X73)
& c5_2(X73,a675)
& ~ c1_2(X73,a675)
& c8_2(X73,a675) )
| ( ndr1_1(X73)
& ~ c5_2(X73,a676)
& ~ c9_2(X73,a676)
& c8_2(X73,a676) )
| ( ndr1_1(X73)
& c5_2(X73,a677)
& ~ c9_2(X73,a677)
& c2_2(X73,a677) ) ) ) )
& ( ~ c3_0
| ! [X74] :
( ndr1_0
=> ( ~ c6_1(X74)
| ~ c2_1(X74)
| c3_1(X74) ) )
| ~ c10_0 )
& ( c10_0
| c9_0
| c2_0 )
& ( ~ c9_0
| c1_0
| c8_0 )
& ( c3_0
| c7_0 )
& ( c3_0
| ! [X75] :
( ndr1_0
=> ( ( ndr1_1(X75)
& ~ c8_2(X75,a678)
& c1_2(X75,a678)
& ~ c6_2(X75,a678) )
| ! [X76] :
( ndr1_1(X75)
=> ( ~ c8_2(X75,X76)
| ~ c2_2(X75,X76)
| c1_2(X75,X76) ) )
| c7_1(X75) ) ) )
& ( ~ c1_0
| c8_0 )
& ( c7_0
| ~ c6_0
| c10_0 )
& ( ( ndr1_0
& ! [X77] :
( ndr1_1(a679)
=> ( c10_2(a679,X77)
| c4_2(a679,X77)
| ~ c9_2(a679,X77) ) )
& ndr1_1(a679)
& ~ c1_2(a679,a680)
& c8_2(a679,a680)
& c9_2(a679,a680)
& ndr1_1(a679)
& c1_2(a679,a681)
& ~ c5_2(a679,a681)
& ~ c9_2(a679,a681) )
| c8_0
| ~ c4_0 )
& ( c3_0
| ! [X78] :
( ndr1_0
=> ( ~ c4_1(X78)
| c7_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ( ndr1_1(X79)
& ~ c10_2(X79,a682)
& c3_2(X79,a682)
& ~ c5_2(X79,a682) )
| ( ndr1_1(X79)
& c6_2(X79,a683)
& ~ c4_2(X79,a683)
& c5_2(X79,a683) )
| ~ c9_1(X79) ) ) )
& ( ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| c1_1(X80)
| c4_1(X80) ) )
| c8_0
| ~ c9_0 )
& ( ! [X81] :
( ndr1_0
=> ( ( ndr1_1(X81)
& c6_2(X81,a684)
& c1_2(X81,a684)
& c7_2(X81,a684) )
| ( ndr1_1(X81)
& c10_2(X81,a685)
& c3_2(X81,a685)
& ~ c6_2(X81,a685) )
| ~ c8_1(X81) ) )
| c7_0
| ~ c6_0 )
& ( ( ndr1_0
& ndr1_1(a686)
& ~ c1_2(a686,a687)
& c4_2(a686,a687)
& ~ c8_2(a686,a687)
& c8_1(a686)
& ndr1_1(a686)
& c4_2(a686,a688)
& c2_2(a686,a688) )
| ~ c8_0
| c1_0 )
& ( c5_0
| c8_0 )
& ( c2_0
| ! [X82] :
( ndr1_0
=> ( ~ c10_1(X82)
| ~ c8_1(X82)
| ! [X83] :
( ndr1_1(X82)
=> ( ~ c8_2(X82,X83)
| c5_2(X82,X83)
| ~ c3_2(X82,X83) ) ) ) )
| c1_0 )
& ( ! [X84] :
( ndr1_0
=> ( ! [X85] :
( ndr1_1(X84)
=> ( ~ c9_2(X84,X85)
| c6_2(X84,X85)
| ~ c10_2(X84,X85) ) )
| ~ c8_1(X84)
| ~ c3_1(X84) ) )
| c6_0 )
& ( ( ndr1_0
& ~ c5_1(a689)
& c9_1(a689)
& ! [X86] :
( ndr1_1(a689)
=> ( c4_2(a689,X86)
| ~ c10_2(a689,X86)
| c1_2(a689,X86) ) ) )
| c2_0
| c9_0 )
& ( ! [X87] :
( ndr1_0
=> ( c2_1(X87)
| c5_1(X87)
| c3_1(X87) ) )
| c4_0
| ( ndr1_0
& ndr1_1(a690)
& ~ c5_2(a690,a691)
& ~ c9_2(a690,a691)
& ~ c10_2(a690,a691)
& c2_1(a690)
& ! [X88] :
( ndr1_1(a690)
=> ( c7_2(a690,X88)
| c2_2(a690,X88)
| c4_2(a690,X88) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a692)
& ~ c7_2(a692,a693)
& c9_2(a692,a693)
& c2_2(a692,a693)
& ndr1_1(a692)
& ~ c3_2(a692,a694)
& ~ c10_2(a692,a694)
& ~ c5_1(a692) )
| ( ndr1_0
& c5_1(a695)
& ~ c10_1(a695)
& ~ c8_1(a695) )
| c3_0 )
& ( c3_0
| ( ndr1_0
& ! [X89] :
( ndr1_1(a696)
=> ( ~ c7_2(a696,X89)
| c5_2(a696,X89)
| ~ c2_2(a696,X89) ) )
& ~ c1_1(a696) )
| ( ndr1_0
& ~ c3_1(a697)
& ! [X90] :
( ndr1_1(a697)
=> ( ~ c3_2(a697,X90)
| c8_2(a697,X90)
| ~ c6_2(a697,X90) ) )
& c9_1(a697) ) )
& ( ( ndr1_0
& ndr1_1(a698)
& ~ c5_2(a698,a699)
& c1_2(a698,a699)
& c2_1(a698)
& c9_1(a698) )
| ~ c4_0
| c2_0 )
& ( ~ c1_0
| ( ndr1_0
& ~ c7_1(a700)
& ~ c9_1(a700)
& ~ c10_1(a700) )
| ( ndr1_0
& ! [X91] :
( ndr1_1(a701)
=> ( ~ c1_2(a701,X91)
| ~ c6_2(a701,X91)
| c5_2(a701,X91) ) )
& ndr1_1(a701)
& ~ c2_2(a701,a702)
& c10_2(a701,a702)
& c6_2(a701,a702)
& ~ c8_1(a701) ) )
& ( ( ndr1_0
& ~ c10_1(a703)
& c4_1(a703)
& ~ c7_1(a703) )
| ! [X92] :
( ndr1_0
=> ( ~ c7_1(X92)
| c4_1(X92)
| ( ndr1_1(X92)
& ~ c5_2(X92,a704)
& ~ c3_2(X92,a704)
& c9_2(X92,a704) ) ) )
| ! [X93] :
( ndr1_0
=> ( ! [X94] :
( ndr1_1(X93)
=> ( c6_2(X93,X94)
| c4_2(X93,X94)
| ~ c8_2(X93,X94) ) )
| c1_1(X93)
| ! [X95] :
( ndr1_1(X93)
=> ( c4_2(X93,X95)
| ~ c1_2(X93,X95)
| c10_2(X93,X95) ) ) ) ) )
& ( ( ndr1_0
& ~ c9_1(a705)
& ! [X96] :
( ndr1_1(a705)
=> ( ~ c2_2(a705,X96)
| ~ c6_2(a705,X96)
| ~ c7_2(a705,X96) ) )
& ~ c3_1(a705) )
| ! [X97] :
( ndr1_0
=> ( ( ndr1_1(X97)
& ~ c9_2(X97,a706)
& c6_2(X97,a706)
& c5_2(X97,a706) )
| ~ c9_1(X97)
| ~ c1_1(X97) ) )
| c6_0 )
& ( c2_0
| ( ndr1_0
& ! [X98] :
( ndr1_1(a707)
=> ( c1_2(a707,X98)
| c4_2(a707,X98)
| ~ c3_2(a707,X98) ) )
& ~ c10_1(a707)
& c8_1(a707) )
| ( ndr1_0
& ! [X99] :
( ndr1_1(a708)
=> ( ~ c5_2(a708,X99)
| c10_2(a708,X99)
| c7_2(a708,X99) ) )
& ~ c5_1(a708) ) )
& ( ~ c8_0
| ~ c2_0 )
& ( ( ndr1_0
& c8_1(a709)
& ~ c9_1(a709)
& ndr1_1(a709)
& c9_2(a709,a710)
& ~ c8_2(a709,a710)
& ~ c6_2(a709,a710) )
| ! [X100] :
( ndr1_0
=> ( ! [X101] :
( ndr1_1(X100)
=> ( ~ c2_2(X100,X101)
| c1_2(X100,X101)
| ~ c9_2(X100,X101) ) )
| ! [X102] :
( ndr1_1(X100)
=> ( c4_2(X100,X102)
| ~ c7_2(X100,X102)
| ~ c5_2(X100,X102) ) )
| ~ c8_1(X100) ) )
| ~ c1_0 )
& ( ! [X103] :
( ndr1_0
=> ( c8_1(X103)
| ! [X104] :
( ndr1_1(X103)
=> ( ~ c3_2(X103,X104)
| ~ c5_2(X103,X104)
| ~ c2_2(X103,X104) ) )
| ! [X105] :
( ndr1_1(X103)
=> ( ~ c7_2(X103,X105)
| ~ c2_2(X103,X105)
| ~ c10_2(X103,X105) ) ) ) )
| ~ c5_0
| ! [X106] :
( ndr1_0
=> ( c5_1(X106)
| ~ c7_1(X106)
| ( ndr1_1(X106)
& ~ c10_2(X106,a711)
& c8_2(X106,a711)
& ~ c2_2(X106,a711) ) ) ) )
& ( c8_0
| ~ c2_0
| ~ c7_0 )
& ( ! [X107] :
( ndr1_0
=> ( ( ndr1_1(X107)
& ~ c4_2(X107,a712)
& c8_2(X107,a712)
& ~ c9_2(X107,a712) )
| ( ndr1_1(X107)
& ~ c6_2(X107,a713)
& ~ c10_2(X107,a713)
& c9_2(X107,a713) ) ) )
| ~ c6_0
| ! [X108] :
( ndr1_0
=> ( ! [X109] :
( ndr1_1(X108)
=> ( c6_2(X108,X109)
| ~ c7_2(X108,X109)
| c8_2(X108,X109) ) )
| ( ndr1_1(X108)
& c3_2(X108,a714)
& c7_2(X108,a714)
& ~ c5_2(X108,a714) )
| ~ c8_1(X108) ) ) )
& ( ! [X110] :
( ndr1_0
=> ( ( ndr1_1(X110)
& c10_2(X110,a715)
& ~ c3_2(X110,a715) )
| ! [X111] :
( ndr1_1(X110)
=> ( ~ c7_2(X110,X111)
| ~ c3_2(X110,X111) ) )
| ( ndr1_1(X110)
& c2_2(X110,a716)
& c3_2(X110,a716)
& c1_2(X110,a716) ) ) )
| ~ c7_0
| ! [X112] :
( ndr1_0
=> ( ~ c1_1(X112)
| ! [X113] :
( ndr1_1(X112)
=> ( c7_2(X112,X113)
| ~ c5_2(X112,X113) ) )
| ~ c6_1(X112) ) ) )
& ( ~ c9_0
| ! [X114] :
( ndr1_0
=> ( ( ndr1_1(X114)
& c5_2(X114,a717)
& c7_2(X114,a717)
& c4_2(X114,a717) )
| ! [X115] :
( ndr1_1(X114)
=> ( ~ c3_2(X114,X115)
| ~ c6_2(X114,X115)
| c4_2(X114,X115) ) )
| c3_1(X114) ) )
| c8_0 )
& ( ! [X116] :
( ndr1_0
=> ( ~ c10_1(X116)
| ( ndr1_1(X116)
& ~ c8_2(X116,a718)
& ~ c7_2(X116,a718) )
| ( ndr1_1(X116)
& ~ c7_2(X116,a719)
& ~ c4_2(X116,a719)
& c2_2(X116,a719) ) ) )
| ! [X117] :
( ndr1_0
=> ( ( ndr1_1(X117)
& c3_2(X117,a720)
& ~ c10_2(X117,a720) )
| c3_1(X117)
| c6_1(X117) ) )
| ( ndr1_0
& c4_1(a721)
& ~ c1_1(a721)
& ~ c5_1(a721) ) )
& ( ! [X118] :
( ndr1_0
=> ( c6_1(X118)
| ! [X119] :
( ndr1_1(X118)
=> ( c5_2(X118,X119)
| ~ c2_2(X118,X119)
| c4_2(X118,X119) ) )
| ( ndr1_1(X118)
& ~ c5_2(X118,a722)
& ~ c9_2(X118,a722)
& c8_2(X118,a722) ) ) )
| ( ndr1_0
& c10_1(a723)
& c4_1(a723)
& c7_1(a723) )
| ~ c2_0 )
& ( c9_0
| ~ c7_0
| ( ndr1_0
& ! [X120] :
( ndr1_1(a724)
=> ( c6_2(a724,X120)
| ~ c8_2(a724,X120)
| ~ c9_2(a724,X120) ) )
& ndr1_1(a724)
& ~ c6_2(a724,a725)
& c4_2(a724,a725)
& ! [X121] :
( ndr1_1(a724)
=> ( c4_2(a724,X121)
| c2_2(a724,X121) ) ) ) )
& ( ! [X122] :
( ndr1_0
=> ( c1_1(X122)
| ! [X123] :
( ndr1_1(X122)
=> ( ~ c5_2(X122,X123)
| c3_2(X122,X123)
| c10_2(X122,X123) ) )
| c5_1(X122) ) )
| c6_0
| ~ c2_0 )
& ( ! [X124] :
( ndr1_0
=> ( ! [X125] :
( ndr1_1(X124)
=> ( ~ c9_2(X124,X125)
| c1_2(X124,X125)
| c10_2(X124,X125) ) )
| c3_1(X124)
| ( ndr1_1(X124)
& ~ c4_2(X124,a726)
& ~ c3_2(X124,a726) ) ) )
| ! [X126] :
( ndr1_0
=> ( ~ c7_1(X126)
| ( ndr1_1(X126)
& ~ c7_2(X126,a727)
& c9_2(X126,a727)
& ~ c6_2(X126,a727) )
| ~ c4_1(X126) ) )
| ! [X127] :
( ndr1_0
=> ( ! [X128] :
( ndr1_1(X127)
=> ( ~ c8_2(X127,X128)
| ~ c4_2(X127,X128)
| c3_2(X127,X128) ) )
| ~ c4_1(X127)
| ~ c10_1(X127) ) ) )
& ( ~ c7_0
| ( ndr1_0
& c6_1(a728)
& c1_1(a728) )
| ( ndr1_0
& ~ c9_1(a729)
& ndr1_1(a729)
& ~ c9_2(a729,a730)
& c7_2(a729,a730)
& c8_2(a729,a730)
& c3_1(a729) ) )
& ( ! [X129] :
( ndr1_0
=> ( ( ndr1_1(X129)
& c3_2(X129,a731)
& c9_2(X129,a731) )
| ( ndr1_1(X129)
& ~ c3_2(X129,a732)
& c4_2(X129,a732) )
| ~ c9_1(X129) ) )
| ( ndr1_0
& ~ c4_1(a733)
& ! [X130] :
( ndr1_1(a733)
=> ~ c2_2(a733,X130) )
& ! [X131] :
( ndr1_1(a733)
=> ( ~ c4_2(a733,X131)
| c7_2(a733,X131)
| ~ c6_2(a733,X131) ) ) )
| ~ c10_0 )
& ( ( ndr1_0
& ~ c10_1(a734)
& ndr1_1(a734)
& ~ c7_2(a734,a735)
& c10_2(a734,a735)
& c6_2(a734,a735)
& ndr1_1(a734)
& ~ c3_2(a734,a736)
& c2_2(a734,a736)
& c1_2(a734,a736) )
| ~ c7_0
| ( ndr1_0
& ndr1_1(a737)
& c9_2(a737,a738)
& ~ c4_2(a737,a738)
& c1_2(a737,a738)
& c9_1(a737)
& ~ c4_1(a737) ) )
& ( ( ndr1_0
& ~ c2_1(a739)
& ~ c5_1(a739)
& ~ c7_1(a739) )
| ( ndr1_0
& ! [X132] :
( ndr1_1(a740)
=> ( ~ c10_2(a740,X132)
| c6_2(a740,X132) ) )
& ~ c9_1(a740)
& c4_1(a740) )
| c10_0 )
& ( ~ c10_0
| c9_0
| ! [X133] :
( ndr1_0
=> ( ! [X134] :
( ndr1_1(X133)
=> ( ~ c9_2(X133,X134)
| c6_2(X133,X134)
| c8_2(X133,X134) ) )
| ! [X135] :
( ndr1_1(X133)
=> ( c5_2(X133,X135)
| ~ c4_2(X133,X135)
| ~ c8_2(X133,X135) ) )
| ~ c4_1(X133) ) ) )
& ( ( ndr1_0
& ndr1_1(a741)
& c10_2(a741,a742)
& ~ c4_2(a741,a742)
& ~ c1_2(a741,a742)
& ~ c5_1(a741) )
| ! [X136] :
( ndr1_0
=> ( ! [X137] :
( ndr1_1(X136)
=> ( c6_2(X136,X137)
| ~ c1_2(X136,X137)
| ~ c3_2(X136,X137) ) )
| ( ndr1_1(X136)
& ~ c9_2(X136,a743)
& ~ c10_2(X136,a743) )
| ( ndr1_1(X136)
& c9_2(X136,a744)
& c6_2(X136,a744)
& c8_2(X136,a744) ) ) ) )
& ( ~ c7_0
| ( ndr1_0
& c2_1(a745)
& ndr1_1(a745)
& c4_2(a745,a746)
& c10_2(a745,a746)
& ~ c1_2(a745,a746)
& ! [X138] :
( ndr1_1(a745)
=> ( c9_2(a745,X138)
| ~ c3_2(a745,X138)
| ~ c1_2(a745,X138) ) ) )
| c8_0 )
& ( c6_0
| ! [X139] :
( ndr1_0
=> ( ( ndr1_1(X139)
& c5_2(X139,a747)
& ~ c1_2(X139,a747)
& c9_2(X139,a747) )
| ! [X140] :
( ndr1_1(X139)
=> ( ~ c1_2(X139,X140)
| c3_2(X139,X140)
| c5_2(X139,X140) ) )
| ~ c2_1(X139) ) ) )
& ( ! [X141] :
( ndr1_0
=> ( ( ndr1_1(X141)
& ~ c4_2(X141,a748)
& c1_2(X141,a748)
& c10_2(X141,a748) )
| c8_1(X141)
| ! [X142] :
( ndr1_1(X141)
=> ( c3_2(X141,X142)
| c5_2(X141,X142)
| c10_2(X141,X142) ) ) ) )
| ~ c4_0
| ! [X143] :
( ndr1_0
=> ( ( ndr1_1(X143)
& ~ c5_2(X143,a749)
& c7_2(X143,a749)
& c6_2(X143,a749) )
| ( ndr1_1(X143)
& c2_2(X143,a750)
& ~ c8_2(X143,a750)
& ~ c10_2(X143,a750) )
| ! [X144] :
( ndr1_1(X143)
=> ( ~ c2_2(X143,X144)
| c9_2(X143,X144)
| ~ c4_2(X143,X144) ) ) ) ) )
& ( ! [X145] :
( ndr1_0
=> ( c9_1(X145)
| ~ c2_1(X145) ) )
| ~ c10_0
| ~ c1_0 )
& ( c4_0
| c2_0
| c6_0 )
& ( ! [X146] :
( ndr1_0
=> ( c7_1(X146)
| ! [X147] :
( ndr1_1(X146)
=> ( ~ c6_2(X146,X147)
| c9_2(X146,X147)
| ~ c8_2(X146,X147) ) )
| ( ndr1_1(X146)
& c3_2(X146,a751)
& c2_2(X146,a751) ) ) )
| ! [X148] :
( ndr1_0
=> ( c10_1(X148)
| ( ndr1_1(X148)
& ~ c4_2(X148,a752)
& ~ c7_2(X148,a752) )
| c3_1(X148) ) )
| ( ndr1_0
& ~ c9_1(a753)
& ndr1_1(a753)
& ~ c1_2(a753,a754)
& ~ c4_2(a753,a754)
& c10_2(a753,a754)
& ! [X149] :
( ndr1_1(a753)
=> ( ~ c4_2(a753,X149)
| ~ c3_2(a753,X149) ) ) ) )
& ( ! [X150] :
( ndr1_0
=> ( ! [X151] :
( ndr1_1(X150)
=> ( ~ c10_2(X150,X151)
| c1_2(X150,X151)
| c3_2(X150,X151) ) )
| c10_1(X150)
| ~ c5_1(X150) ) )
| ~ c10_0
| ( ndr1_0
& ~ c7_1(a755)
& ~ c6_1(a755)
& ! [X152] :
( ndr1_1(a755)
=> ( c6_2(a755,X152)
| ~ c8_2(a755,X152)
| ~ c7_2(a755,X152) ) ) ) )
& ( ( ndr1_0
& c6_1(a756)
& ! [X153] :
( ndr1_1(a756)
=> ( ~ c4_2(a756,X153)
| c10_2(a756,X153)
| c8_2(a756,X153) ) ) )
| c7_0 )
& ( ( ndr1_0
& c5_1(a757)
& c10_1(a757)
& ~ c1_1(a757) )
| c1_0
| ( ndr1_0
& c1_1(a758)
& c8_1(a758)
& c4_1(a758) ) )
& ( ~ c1_0
| c7_0
| ( ndr1_0
& ! [X154] :
( ndr1_1(a759)
=> ( ~ c6_2(a759,X154)
| c7_2(a759,X154)
| c8_2(a759,X154) ) )
& ndr1_1(a759)
& ~ c1_2(a759,a760)
& c2_2(a759,a760)
& ~ c5_2(a759,a760)
& ~ c8_1(a759) ) ) ) ).
%--------------------------------------------------------------------------