TPTP Problem File: SYN513+1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN513+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=105, K=3, D=2, P=0, Index=093
% 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-5-1-105-3-2-093.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.17 v5.5.0, 0.10 v5.4.0, 0.20 v5.3.0, 0.00 v5.2.0, 0.25 v5.0.0, 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, 0.25 v3.1.0, 0.67 v2.7.0, 0.83 v2.6.0, 0.50 v2.5.0, 0.33 v2.4.0, 0.67 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 863 ( 0 equ)
% Maximal formula atoms : 863 ( 863 avg)
% Number of connectives : 1161 ( 299 ~; 338 |; 405 &)
% ( 0 <=>; 119 =>; 0 <=; 0 <~>)
% Maximal formula depth : 92 ( 92 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 17 usr; 6 prp; 0-2 aty)
% Number of functors : 122 ( 122 usr; 122 con; 0-0 aty)
% Number of variables : 119 ( 119 !; 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,
~ ( ( ( ndr1_0
& ~ c5_1(a775)
& ~ c3_1(a775)
& c1_1(a775) )
| ~ c4_0 )
& ( c5_0
| ( ndr1_0
& ndr1_1(a776)
& ~ c3_2(a776,a777)
& c2_2(a776,a777)
& ~ c1_2(a776,a777)
& ~ c2_1(a776)
& ! [U] :
( ndr1_1(a776)
=> ( c5_2(a776,U)
| ~ c3_2(a776,U) ) ) )
| ! [V] :
( ndr1_0
=> ( ~ c2_1(V)
| ( ndr1_1(V)
& c3_2(V,a778)
& c1_2(V,a778)
& c4_2(V,a778) )
| ! [W] :
( ndr1_1(V)
=> ( c1_2(V,W)
| c3_2(V,W)
| c5_2(V,W) ) ) ) ) )
& ( ( ndr1_0
& ~ c3_1(a779)
& ! [X] :
( ndr1_1(a779)
=> ( ~ c1_2(a779,X)
| c2_2(a779,X)
| c3_2(a779,X) ) ) )
| c3_0
| ( ndr1_0
& ! [Y] :
( ndr1_1(a780)
=> ( c2_2(a780,Y)
| c3_2(a780,Y)
| c1_2(a780,Y) ) )
& c3_1(a780) ) )
& ( ~ c2_0
| c4_0 )
& ( ( ndr1_0
& ~ c4_1(a781)
& ! [Z] :
( ndr1_1(a781)
=> ( ~ c2_2(a781,Z)
| c4_2(a781,Z)
| ~ c1_2(a781,Z) ) ) )
| ~ c4_0
| ! [X1] :
( ndr1_0
=> ( ! [X2] :
( ndr1_1(X1)
=> ( c1_2(X1,X2)
| ~ c2_2(X1,X2)
| c4_2(X1,X2) ) )
| ! [X3] :
( ndr1_1(X1)
=> ( ~ c4_2(X1,X3)
| ~ c2_2(X1,X3) ) )
| c1_1(X1) ) ) )
& ( ~ c1_0
| ~ c4_0
| ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| ( ndr1_1(X4)
& ~ c2_2(X4,a782)
& ~ c5_2(X4,a782)
& ~ c1_2(X4,a782) )
| ~ c1_1(X4) ) ) )
& ( c4_0
| ~ c1_0
| ! [X5] :
( ndr1_0
=> ( ~ c5_1(X5)
| c1_1(X5)
| ( ndr1_1(X5)
& ~ c4_2(X5,a783)
& ~ c2_2(X5,a783)
& ~ c3_2(X5,a783) ) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( ! [X7] :
( ndr1_1(X6)
=> ( ~ c5_2(X6,X7)
| c3_2(X6,X7)
| ~ c4_2(X6,X7) ) )
| ~ c5_1(X6)
| ! [X8] :
( ndr1_1(X6)
=> ( ~ c5_2(X6,X8)
| ~ c1_2(X6,X8) ) ) ) )
| ! [X9] :
( ndr1_0
=> ( ( ndr1_1(X9)
& c3_2(X9,a784)
& c2_2(X9,a784)
& ~ c1_2(X9,a784) )
| ~ c4_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( ( ndr1_1(X10)
& c5_2(X10,a785)
& ~ c2_2(X10,a785)
& ~ c1_2(X10,a785) )
| c2_1(X10) ) ) )
& ( ( ndr1_0
& ! [X11] :
( ndr1_1(a786)
=> ( c3_2(a786,X11)
| ~ c1_2(a786,X11)
| c5_2(a786,X11) ) )
& ! [X12] :
( ndr1_1(a786)
=> ( c5_2(a786,X12)
| c4_2(a786,X12)
| ~ c2_2(a786,X12) ) )
& ~ c4_1(a786) )
| ! [X13] :
( ndr1_0
=> ( ( ndr1_1(X13)
& ~ c4_2(X13,a787)
& ~ c3_2(X13,a787)
& c5_2(X13,a787) )
| ( ndr1_1(X13)
& ~ c2_2(X13,a788)
& c3_2(X13,a788)
& c1_2(X13,a788) )
| c3_1(X13) ) )
| ( ndr1_0
& ~ c5_1(a789)
& ndr1_1(a789)
& c5_2(a789,a790)
& c1_2(a789,a790)
& ~ c4_2(a789,a790)
& c1_1(a789) ) )
& ( ! [X14] :
( ndr1_0
=> ( ! [X15] :
( ndr1_1(X14)
=> ( c1_2(X14,X15)
| c5_2(X14,X15)
| c3_2(X14,X15) ) )
| ~ c2_1(X14)
| c5_1(X14) ) )
| ~ c3_0
| c2_0 )
& ( ! [X16] :
( ndr1_0
=> ( ! [X17] :
( ndr1_1(X16)
=> ( c4_2(X16,X17)
| ~ c5_2(X16,X17)
| c2_2(X16,X17) ) )
| ( ndr1_1(X16)
& c4_2(X16,a791)
& c3_2(X16,a791)
& c1_2(X16,a791) )
| c5_1(X16) ) )
| ! [X18] :
( ndr1_0
=> ( ~ c2_1(X18)
| c4_1(X18)
| c1_1(X18) ) )
| c2_0 )
& ( c4_0
| ~ c2_0
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a792)
& ~ c5_2(a792,a793)
& c1_2(a792,a793)
& c4_1(a792)
& ndr1_1(a792)
& ~ c4_2(a792,a794)
& c3_2(a792,a794)
& ~ c1_2(a792,a794) )
| ( ndr1_0
& ! [X19] :
( ndr1_1(a795)
=> ( ~ c2_2(a795,X19)
| c1_2(a795,X19)
| ~ c5_2(a795,X19) ) )
& ! [X20] :
( ndr1_1(a795)
=> ( ~ c1_2(a795,X20)
| c5_2(a795,X20)
| c3_2(a795,X20) ) )
& ~ c1_1(a795) )
| ~ c3_0 )
& ( ~ c2_0
| ~ c4_0
| c3_0 )
& ( ! [X21] :
( ndr1_0
=> ( ! [X22] :
( ndr1_1(X21)
=> ( c4_2(X21,X22)
| ~ c5_2(X21,X22)
| c3_2(X21,X22) ) )
| ! [X23] :
( ndr1_1(X21)
=> ( c3_2(X21,X23)
| c2_2(X21,X23) ) )
| ~ c3_1(X21) ) )
| ( ndr1_0
& ndr1_1(a796)
& ~ c5_2(a796,a797)
& c2_2(a796,a797)
& c1_2(a796,a797)
& ndr1_1(a796)
& ~ c2_2(a796,a798)
& ~ c3_2(a796,a798)
& ~ c2_1(a796) ) )
& ( c5_0
| ! [X24] :
( ndr1_0
=> ( ( ndr1_1(X24)
& c3_2(X24,a799)
& c4_2(X24,a799)
& ~ c1_2(X24,a799) )
| c4_1(X24) ) )
| c4_0 )
& ( c1_0
| ( ndr1_0
& c2_1(a800)
& ! [X25] :
( ndr1_1(a800)
=> ( ~ c4_2(a800,X25)
| ~ c1_2(a800,X25)
| ~ c5_2(a800,X25) ) )
& ! [X26] :
( ndr1_1(a800)
=> ( c5_2(a800,X26)
| c2_2(a800,X26) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a801)
& c5_2(a801,a802)
& c1_2(a801,a802)
& c4_2(a801,a802)
& ! [X27] :
( ndr1_1(a801)
=> ( c5_2(a801,X27)
| ~ c1_2(a801,X27)
| ~ c3_2(a801,X27) ) )
& c2_1(a801) )
| ! [X28] :
( ndr1_0
=> ( ~ c4_1(X28)
| c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ( ndr1_1(X29)
& c2_2(X29,a803)
& ~ c5_2(X29,a803)
& c4_2(X29,a803) )
| ~ c3_1(X29)
| ! [X30] :
( ndr1_1(X29)
=> ( ~ c2_2(X29,X30)
| ~ c4_2(X29,X30)
| ~ c3_2(X29,X30) ) ) ) ) )
& ( ~ c3_0
| ( ndr1_0
& ! [X31] :
( ndr1_1(a804)
=> ( c1_2(a804,X31)
| c3_2(a804,X31)
| c4_2(a804,X31) ) )
& c5_1(a804) )
| ! [X32] :
( ndr1_0
=> ( ( ndr1_1(X32)
& c2_2(X32,a805)
& c4_2(X32,a805)
& ~ c5_2(X32,a805) )
| ~ c4_1(X32) ) ) )
& ( ! [X33] :
( ndr1_0
=> ( ( ndr1_1(X33)
& c5_2(X33,a806)
& c2_2(X33,a806)
& c4_2(X33,a806) )
| ( ndr1_1(X33)
& ~ c3_2(X33,a807)
& ~ c2_2(X33,a807) )
| ( ndr1_1(X33)
& c5_2(X33,a808)
& ~ c2_2(X33,a808)
& c4_2(X33,a808) ) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c2_1(X34)
| ~ c3_1(X34)
| ( ndr1_1(X34)
& c5_2(X34,a809)
& c3_2(X34,a809)
& c1_2(X34,a809) ) ) )
| c4_0 )
& ( ! [X35] :
( ndr1_0
=> ( ~ c5_1(X35)
| c3_1(X35)
| ~ c4_1(X35) ) )
| ~ c5_0 )
& ( c4_0
| ( ndr1_0
& c2_1(a810)
& c4_1(a810) )
| c5_0 )
& ( ! [X36] :
( ndr1_0
=> ( ~ c3_1(X36)
| c1_1(X36)
| ( ndr1_1(X36)
& ~ c2_2(X36,a811)
& c3_2(X36,a811) ) ) )
| ( ndr1_0
& ~ c3_1(a812)
& ndr1_1(a812)
& c3_2(a812,a813)
& c1_2(a812,a813)
& c2_2(a812,a813) ) )
& ( ! [X37] :
( ndr1_0
=> ( ~ c5_1(X37)
| ~ c4_1(X37) ) )
| c3_0 )
& ( ~ c1_0
| ( ndr1_0
& c3_1(a814)
& c2_1(a814) )
| ~ c2_0 )
& ( ( ndr1_0
& ndr1_1(a815)
& c1_2(a815,a816)
& c3_2(a815,a816)
& ~ c5_2(a815,a816)
& c3_1(a815)
& ~ c5_1(a815) )
| c2_0
| c5_0 )
& ( ( ndr1_0
& c4_1(a817)
& c2_1(a817) )
| ( ndr1_0
& c3_1(a818)
& ndr1_1(a818)
& ~ c3_2(a818,a819)
& ~ c2_2(a818,a819)
& ~ c5_2(a818,a819)
& ! [X38] :
( ndr1_1(a818)
=> ( ~ c1_2(a818,X38)
| c4_2(a818,X38)
| c5_2(a818,X38) ) ) )
| ( ndr1_0
& ndr1_1(a820)
& ~ c3_2(a820,a821)
& c1_2(a820,a821)
& ~ c5_2(a820,a821)
& ndr1_1(a820)
& ~ c5_2(a820,a822)
& ~ c2_2(a820,a822) ) )
& ( ( ndr1_0
& ! [X39] :
( ndr1_1(a823)
=> ( ~ c3_2(a823,X39)
| ~ c2_2(a823,X39)
| c1_2(a823,X39) ) )
& c5_1(a823) )
| c5_0
| ~ c2_0 )
& ( c3_0
| ! [X40] :
( ndr1_0
=> ( ~ c5_1(X40)
| c4_1(X40) ) )
| ( ndr1_0
& ~ c2_1(a824)
& ! [X41] :
( ndr1_1(a824)
=> ( ~ c4_2(a824,X41)
| ~ c1_2(a824,X41) ) )
& ~ c4_1(a824) ) )
& ( ! [X42] :
( ndr1_0
=> ( ( ndr1_1(X42)
& c3_2(X42,a825)
& ~ c2_2(X42,a825)
& c1_2(X42,a825) )
| c1_1(X42)
| ~ c2_1(X42) ) )
| ~ c5_0
| ! [X43] :
( ndr1_0
=> ( c1_1(X43)
| ( ndr1_1(X43)
& ~ c1_2(X43,a826)
& ~ c2_2(X43,a826)
& c5_2(X43,a826) )
| ! [X44] :
( ndr1_1(X43)
=> ( c5_2(X43,X44)
| ~ c2_2(X43,X44)
| c4_2(X43,X44) ) ) ) ) )
& ( ~ c1_0
| c3_0 )
& ( ( ndr1_0
& ~ c5_1(a827)
& ! [X45] :
( ndr1_1(a827)
=> ( c1_2(a827,X45)
| ~ c2_2(a827,X45)
| c5_2(a827,X45) ) ) )
| ! [X46] :
( ndr1_0
=> ( c4_1(X46)
| ! [X47] :
( ndr1_1(X46)
=> ( ~ c3_2(X46,X47)
| c5_2(X46,X47)
| c4_2(X46,X47) ) )
| ! [X48] :
( ndr1_1(X46)
=> ( c4_2(X46,X48)
| ~ c2_2(X46,X48)
| c1_2(X46,X48) ) ) ) )
| c2_0 )
& ( ! [X49] :
( ndr1_0
=> ( ! [X50] :
( ndr1_1(X49)
=> ( ~ c4_2(X49,X50)
| ~ c1_2(X49,X50)
| c2_2(X49,X50) ) )
| c2_1(X49)
| ~ c4_1(X49) ) )
| c3_0
| ~ c2_0 )
& ( ~ c4_0
| ~ c5_0 )
& ( ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| ~ c1_1(X51)
| ~ c5_1(X51) ) )
| c3_0
| ( ndr1_0
& ! [X52] :
( ndr1_1(a828)
=> ( c2_2(a828,X52)
| c4_2(a828,X52) ) )
& ndr1_1(a828)
& ~ c1_2(a828,a829)
& ~ c4_2(a828,a829)
& ! [X53] :
( ndr1_1(a828)
=> ( c4_2(a828,X53)
| c3_2(a828,X53)
| ~ c5_2(a828,X53) ) ) ) )
& ( c2_0
| ( ndr1_0
& c2_1(a830)
& ! [X54] :
( ndr1_1(a830)
=> ( c2_2(a830,X54)
| ~ c1_2(a830,X54)
| ~ c3_2(a830,X54) ) )
& ! [X55] :
( ndr1_1(a830)
=> ( c5_2(a830,X55)
| c1_2(a830,X55) ) ) ) )
& ( c4_0
| ~ c1_0
| ! [X56] :
( ndr1_0
=> ( ! [X57] :
( ndr1_1(X56)
=> ( c3_2(X56,X57)
| c1_2(X56,X57) ) )
| ~ c1_1(X56)
| ! [X58] :
( ndr1_1(X56)
=> ( c4_2(X56,X58)
| c5_2(X56,X58)
| c3_2(X56,X58) ) ) ) ) )
& ( ( ndr1_0
& c3_1(a831)
& ~ c4_1(a831) )
| ! [X59] :
( ndr1_0
=> ( ( ndr1_1(X59)
& ~ c2_2(X59,a832)
& ~ c1_2(X59,a832)
& c3_2(X59,a832) )
| ! [X60] :
( ndr1_1(X59)
=> ( ~ c4_2(X59,X60)
| c5_2(X59,X60) ) )
| ! [X61] :
( ndr1_1(X59)
=> ( ~ c5_2(X59,X61)
| ~ c2_2(X59,X61)
| c3_2(X59,X61) ) ) ) )
| c2_0 )
& ( ! [X62] :
( ndr1_0
=> ( ( ndr1_1(X62)
& c1_2(X62,a833)
& ~ c5_2(X62,a833)
& c3_2(X62,a833) )
| ( ndr1_1(X62)
& ~ c2_2(X62,a834)
& ~ c5_2(X62,a834) )
| ! [X63] :
( ndr1_1(X62)
=> ( c1_2(X62,X63)
| ~ c3_2(X62,X63)
| ~ c2_2(X62,X63) ) ) ) )
| c3_0 )
& ( c5_0
| ~ c4_0
| ! [X64] :
( ndr1_0
=> ( ~ c3_1(X64)
| ( ndr1_1(X64)
& ~ c5_2(X64,a835)
& c1_2(X64,a835)
& ~ c4_2(X64,a835) ) ) ) )
& ( c5_0
| ( ndr1_0
& ndr1_1(a836)
& c4_2(a836,a837)
& ~ c1_2(a836,a837)
& ~ c2_2(a836,a837)
& c5_1(a836)
& c1_1(a836) )
| ( ndr1_0
& ! [X65] :
( ndr1_1(a838)
=> ( c2_2(a838,X65)
| ~ c4_2(a838,X65)
| c3_2(a838,X65) ) )
& ~ c4_1(a838) ) )
& ( ~ c5_0
| ( ndr1_0
& ndr1_1(a839)
& c4_2(a839,a840)
& ~ c5_2(a839,a840)
& c2_2(a839,a840)
& ndr1_1(a839)
& ~ c2_2(a839,a841)
& ~ c4_2(a839,a841)
& ! [X66] :
( ndr1_1(a839)
=> ( c4_2(a839,X66)
| ~ c5_2(a839,X66) ) ) ) )
& ( ~ c2_0
| c3_0
| ! [X67] :
( ndr1_0
=> ( ~ c2_1(X67)
| c3_1(X67)
| ( ndr1_1(X67)
& c4_2(X67,a842)
& c5_2(X67,a842)
& ~ c2_2(X67,a842) ) ) ) )
& ( c3_0
| ! [X68] :
( ndr1_0
=> ( c3_1(X68)
| c1_1(X68) ) ) )
& ( ~ c5_0
| ~ c1_0 )
& ( ~ c3_0
| ( ndr1_0
& c5_1(a843)
& ~ c1_1(a843) )
| c4_0 )
& ( ~ c4_0
| c5_0
| ~ c2_0 )
& ( ~ c1_0
| ~ c5_0
| c4_0 )
& ( ~ c2_0
| ( ndr1_0
& ~ c3_1(a844) )
| ( ndr1_0
& ~ c2_1(a845)
& ~ c1_1(a845)
& ~ c3_1(a845) ) )
& ( c3_0
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ~ c1_1(X69)
| ! [X70] :
( ndr1_1(X69)
=> ( c3_2(X69,X70)
| c5_2(X69,X70)
| c4_2(X69,X70) ) ) ) )
| ! [X71] :
( ndr1_0
=> ( ( ndr1_1(X71)
& c4_2(X71,a846)
& c5_2(X71,a846)
& c3_2(X71,a846) )
| c3_1(X71)
| ~ c1_1(X71) ) ) )
& ( ! [X72] :
( ndr1_0
=> ( ( ndr1_1(X72)
& c3_2(X72,a847)
& ~ c4_2(X72,a847) )
| ( ndr1_1(X72)
& ~ c5_2(X72,a848)
& c3_2(X72,a848)
& ~ c4_2(X72,a848) )
| ~ c2_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( ! [X74] :
( ndr1_1(X73)
=> ( ~ c4_2(X73,X74)
| ~ c5_2(X73,X74) ) )
| ~ c1_1(X73) ) )
| ~ c2_0 )
& ( ( ndr1_0
& ~ c5_1(a849)
& ndr1_1(a849)
& ~ c3_2(a849,a850)
& ~ c4_2(a849,a850)
& c1_2(a849,a850)
& ndr1_1(a849)
& c1_2(a849,a851)
& ~ c5_2(a849,a851) )
| ( ndr1_0
& ! [X75] :
( ndr1_1(a852)
=> ( c1_2(a852,X75)
| ~ c4_2(a852,X75)
| ~ c5_2(a852,X75) ) )
& c1_1(a852) )
| ~ c5_0 )
& ( ( ndr1_0
& ! [X76] :
( ndr1_1(a853)
=> ( ~ c1_2(a853,X76)
| c2_2(a853,X76) ) )
& ndr1_1(a853)
& c3_2(a853,a854)
& c2_2(a853,a854)
& ! [X77] :
( ndr1_1(a853)
=> ( ~ c1_2(a853,X77)
| c3_2(a853,X77)
| c5_2(a853,X77) ) ) )
| ~ c5_0 )
& ( ! [X78] :
( ndr1_0
=> ( ~ c2_1(X78)
| c5_1(X78)
| ~ c3_1(X78) ) )
| c3_0
| ( ndr1_0
& ndr1_1(a855)
& c1_2(a855,a856)
& c5_2(a855,a856)
& c2_2(a855,a856)
& ~ c1_1(a855)
& ! [X79] :
( ndr1_1(a855)
=> ( c2_2(a855,X79)
| ~ c5_2(a855,X79)
| ~ c1_2(a855,X79) ) ) ) )
& ( c1_0
| ~ c4_0
| ! [X80] :
( ndr1_0
=> ( ~ c5_1(X80)
| ( ndr1_1(X80)
& ~ c4_2(X80,a857)
& c2_2(X80,a857)
& ~ c5_2(X80,a857) )
| c2_1(X80) ) ) )
& ( ( ndr1_0
& c5_1(a858)
& ndr1_1(a858)
& ~ c1_2(a858,a859)
& c3_2(a858,a859)
& c2_2(a858,a859) )
| c1_0 )
& ( ( ndr1_0
& c2_1(a860)
& ! [X81] :
( ndr1_1(a860)
=> ( ~ c4_2(a860,X81)
| ~ c2_2(a860,X81)
| ~ c1_2(a860,X81) ) ) )
| ( ndr1_0
& ~ c2_1(a861)
& ~ c1_1(a861)
& ndr1_1(a861)
& c3_2(a861,a862)
& c1_2(a861,a862) )
| ~ c4_0 )
& ( ! [X82] :
( ndr1_0
=> ( ~ c5_1(X82)
| c3_1(X82) ) )
| ( ndr1_0
& ! [X83] :
( ndr1_1(a863)
=> ( c3_2(a863,X83)
| c4_2(a863,X83) ) )
& c5_1(a863)
& ~ c1_1(a863) )
| ! [X84] :
( ndr1_0
=> ( c3_1(X84)
| ~ c4_1(X84)
| c2_1(X84) ) ) )
& ( ~ c1_0
| ( ndr1_0
& ~ c4_1(a864)
& ndr1_1(a864)
& c1_2(a864,a865)
& c2_2(a864,a865)
& c4_2(a864,a865) ) )
& ( ~ c5_0
| ! [X85] :
( ndr1_0
=> ( ~ c5_1(X85)
| ( ndr1_1(X85)
& c3_2(X85,a866)
& ~ c2_2(X85,a866) )
| ! [X86] :
( ndr1_1(X85)
=> ( ~ c3_2(X85,X86)
| c2_2(X85,X86)
| c1_2(X85,X86) ) ) ) ) )
& ( c4_0
| c5_0 )
& ( ~ c5_0
| ~ c3_0
| ( ndr1_0
& ndr1_1(a867)
& ~ c3_2(a867,a868)
& c5_2(a867,a868)
& ! [X87] :
( ndr1_1(a867)
=> ( c5_2(a867,X87)
| c3_2(a867,X87)
| ~ c4_2(a867,X87) ) )
& ndr1_1(a867)
& c2_2(a867,a869)
& ~ c4_2(a867,a869)
& c3_2(a867,a869) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c1_1(X88)
| ( ndr1_1(X88)
& c1_2(X88,a870)
& ~ c4_2(X88,a870)
& ~ c3_2(X88,a870) )
| ~ c2_1(X88) ) )
| ~ c1_0 )
& ( ! [X89] :
( ndr1_0
=> ( ( ndr1_1(X89)
& c3_2(X89,a871)
& c5_2(X89,a871) )
| ( ndr1_1(X89)
& ~ c5_2(X89,a872)
& ~ c4_2(X89,a872)
& c3_2(X89,a872) ) ) )
| c4_0
| ~ c5_0 )
& ( ~ c1_0
| ( ndr1_0
& c3_1(a873)
& ndr1_1(a873)
& ~ c3_2(a873,a874)
& c5_2(a873,a874)
& ~ c1_2(a873,a874) ) )
& ( c3_0
| ( ndr1_0
& ~ c4_1(a875)
& c2_1(a875)
& ! [X90] :
( ndr1_1(a875)
=> ( ~ c1_2(a875,X90)
| ~ c4_2(a875,X90) ) ) ) )
& ( c2_0
| ~ c4_0 )
& ( ~ c2_0
| ! [X91] :
( ndr1_0
=> ( ( ndr1_1(X91)
& ~ c2_2(X91,a876)
& c5_2(X91,a876)
& c3_2(X91,a876) )
| ( ndr1_1(X91)
& c2_2(X91,a877)
& c4_2(X91,a877)
& c1_2(X91,a877) )
| c3_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c5_1(X92)
| ~ c4_1(X92)
| ( ndr1_1(X92)
& ~ c3_2(X92,a878)
& c5_2(X92,a878)
& c2_2(X92,a878) ) ) ) )
& ( c3_0
| ~ c5_0
| ~ c1_0 )
& ( ~ c2_0
| ~ c1_0 )
& ( c3_0
| ( ndr1_0
& ndr1_1(a879)
& ~ c3_2(a879,a880)
& ~ c4_2(a879,a880)
& c2_1(a879)
& ! [X93] :
( ndr1_1(a879)
=> ( c2_2(a879,X93)
| ~ c1_2(a879,X93)
| ~ c4_2(a879,X93) ) ) )
| ~ c4_0 )
& ( c1_0
| ! [X94] :
( ndr1_0
=> ( ~ c4_1(X94)
| c2_1(X94)
| ~ c3_1(X94) ) ) )
& ( c1_0
| c5_0
| ! [X95] :
( ndr1_0
=> ( ( ndr1_1(X95)
& c2_2(X95,a881)
& ~ c5_2(X95,a881) )
| ( ndr1_1(X95)
& ~ c3_2(X95,a882)
& ~ c2_2(X95,a882)
& c5_2(X95,a882) )
| c1_1(X95) ) ) )
& ( ! [X96] :
( ndr1_0
=> ( ! [X97] :
( ndr1_1(X96)
=> ( ~ c3_2(X96,X97)
| c5_2(X96,X97)
| c2_2(X96,X97) ) )
| c5_1(X96)
| ! [X98] :
( ndr1_1(X96)
=> ( c5_2(X96,X98)
| c3_2(X96,X98)
| c1_2(X96,X98) ) ) ) )
| c4_0
| c3_0 )
& ( ! [X99] :
( ndr1_0
=> ( c5_1(X99)
| ( ndr1_1(X99)
& ~ c2_2(X99,a883)
& c1_2(X99,a883)
& c3_2(X99,a883) )
| ( ndr1_1(X99)
& c4_2(X99,a884)
& ~ c2_2(X99,a884)
& ~ c3_2(X99,a884) ) ) )
| ! [X100] :
( ndr1_0
=> ( ~ c4_1(X100)
| ! [X101] :
( ndr1_1(X100)
=> ( ~ c5_2(X100,X101)
| c1_2(X100,X101)
| c4_2(X100,X101) ) )
| c3_1(X100) ) )
| c1_0 )
& ( ~ c1_0
| c3_0
| ( ndr1_0
& ! [X102] :
( ndr1_1(a885)
=> ( ~ c1_2(a885,X102)
| ~ c3_2(a885,X102) ) )
& ~ c5_1(a885) ) )
& ( ! [X103] :
( ndr1_0
=> ( ! [X104] :
( ndr1_1(X103)
=> ( ~ c2_2(X103,X104)
| c5_2(X103,X104) ) )
| ( ndr1_1(X103)
& c4_2(X103,a886)
& c5_2(X103,a886) ) ) )
| ~ c5_0 )
& ( ( ndr1_0
& ndr1_1(a887)
& ~ c4_2(a887,a888)
& c1_2(a887,a888)
& c3_2(a887,a888)
& c5_1(a887) )
| ! [X105] :
( ndr1_0
=> ( ~ c1_1(X105)
| ( ndr1_1(X105)
& c2_2(X105,a889)
& ~ c4_2(X105,a889)
& c3_2(X105,a889) )
| ( ndr1_1(X105)
& c4_2(X105,a890)
& c2_2(X105,a890)
& c3_2(X105,a890) ) ) )
| ( ndr1_0
& ! [X106] :
( ndr1_1(a891)
=> ( ~ c1_2(a891,X106)
| ~ c5_2(a891,X106)
| ~ c4_2(a891,X106) ) )
& ~ c3_1(a891)
& ! [X107] :
( ndr1_1(a891)
=> ( ~ c5_2(a891,X107)
| c3_2(a891,X107) ) ) ) )
& ( c5_0
| ! [X108] :
( ndr1_0
=> ( ~ c3_1(X108)
| c1_1(X108) ) ) )
& ( ( ndr1_0
& ! [X109] :
( ndr1_1(a892)
=> ( c1_2(a892,X109)
| c3_2(a892,X109)
| ~ c2_2(a892,X109) ) )
& c5_1(a892)
& ~ c4_1(a892) )
| ( ndr1_0
& ! [X110] :
( ndr1_1(a893)
=> ( c1_2(a893,X110)
| c4_2(a893,X110) ) )
& ~ c5_1(a893)
& ! [X111] :
( ndr1_1(a893)
=> ( c4_2(a893,X111)
| ~ c5_2(a893,X111) ) ) )
| ( ndr1_0
& ~ c2_1(a894)
& c4_1(a894)
& ndr1_1(a894)
& ~ c5_2(a894,a895)
& c3_2(a894,a895)
& ~ c1_2(a894,a895) ) )
& ( c5_0
| ! [X112] :
( ndr1_0
=> ( ( ndr1_1(X112)
& ~ c5_2(X112,a896)
& c3_2(X112,a896)
& ~ c2_2(X112,a896) )
| ! [X113] :
( ndr1_1(X112)
=> ( c3_2(X112,X113)
| ~ c4_2(X112,X113)
| c1_2(X112,X113) ) )
| c5_1(X112) ) ) ) ) ).
%--------------------------------------------------------------------------