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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV421-1.100 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:19:55 PM UTC 2026

% Result   : Unsatisfiable 31.57s 5.18s
% Output   : CNFRefutation 36.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  172
% Syntax   : Number of formulae    : 3295 ( 209 unt;   0 def)
%            Number of atoms       : 9347 (   0 equ)
%            Maximal formula atoms :  101 (   2 avg)
%            Number of connectives : 11011 (4959   ~;6052   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  101 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   32 (  31 usr;   2 prp; 0-2 aty)
%            Number of functors    :  108 ( 108 usr; 108 con; 0-0 aty)
%            Number of variables   :  656 (   0 sgn 656   !;   0   ?; 555   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    succ(s0,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound1) ).

fof(f2,axiom,
    succ(s1,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound2) ).

fof(f3,axiom,
    succ(s2,s3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound3) ).

fof(f4,axiom,
    succ(s3,s4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound4) ).

fof(f5,axiom,
    succ(s4,s5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound5) ).

fof(f6,axiom,
    succ(s5,s6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound6) ).

fof(f7,axiom,
    succ(s6,s7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound7) ).

fof(f8,axiom,
    succ(s7,s8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound8) ).

fof(f9,axiom,
    succ(s8,s9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound9) ).

fof(f10,axiom,
    succ(s9,s10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound10) ).

fof(f11,axiom,
    succ(s10,s11),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound11) ).

fof(f12,axiom,
    succ(s11,s12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound12) ).

fof(f13,axiom,
    succ(s12,s13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound13) ).

fof(f14,axiom,
    succ(s13,s14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound14) ).

fof(f15,axiom,
    succ(s14,s15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound15) ).

fof(f16,axiom,
    succ(s15,s16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound16) ).

fof(f17,axiom,
    succ(s16,s17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound17) ).

fof(f18,axiom,
    succ(s17,s18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound18) ).

fof(f19,axiom,
    succ(s18,s19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound19) ).

fof(f20,axiom,
    succ(s19,s20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound20) ).

fof(f21,axiom,
    succ(s20,s21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound21) ).

fof(f22,axiom,
    succ(s21,s22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound22) ).

fof(f23,axiom,
    succ(s22,s23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound23) ).

fof(f24,axiom,
    succ(s23,s24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound24) ).

fof(f25,axiom,
    succ(s24,s25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound25) ).

fof(f26,axiom,
    succ(s25,s26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound26) ).

fof(f27,axiom,
    succ(s26,s27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound27) ).

fof(f28,axiom,
    succ(s27,s28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound28) ).

fof(f29,axiom,
    succ(s28,s29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound29) ).

fof(f30,axiom,
    succ(s29,s30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound30) ).

fof(f31,axiom,
    succ(s30,s31),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound31) ).

fof(f32,axiom,
    succ(s31,s32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound32) ).

fof(f33,axiom,
    succ(s32,s33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound33) ).

fof(f34,axiom,
    succ(s33,s34),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound34) ).

fof(f35,axiom,
    succ(s34,s35),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound35) ).

fof(f36,axiom,
    succ(s35,s36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound36) ).

fof(f37,axiom,
    succ(s36,s37),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound37) ).

fof(f38,axiom,
    succ(s37,s38),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound38) ).

fof(f39,axiom,
    succ(s38,s39),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound39) ).

fof(f40,axiom,
    succ(s39,s40),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound40) ).

fof(f41,axiom,
    succ(s40,s41),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound41) ).

fof(f42,axiom,
    succ(s41,s42),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound42) ).

fof(f43,axiom,
    succ(s42,s43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound43) ).

fof(f44,axiom,
    succ(s43,s44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound44) ).

fof(f45,axiom,
    succ(s44,s45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound45) ).

fof(f46,axiom,
    succ(s45,s46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound46) ).

fof(f47,axiom,
    succ(s46,s47),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound47) ).

fof(f48,axiom,
    succ(s47,s48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound48) ).

fof(f49,axiom,
    succ(s48,s49),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound49) ).

fof(f50,axiom,
    succ(s49,s50),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound50) ).

fof(f51,axiom,
    succ(s50,s51),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound51) ).

fof(f52,axiom,
    succ(s51,s52),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound52) ).

fof(f53,axiom,
    succ(s52,s53),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound53) ).

fof(f54,axiom,
    succ(s53,s54),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound54) ).

fof(f55,axiom,
    succ(s54,s55),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound55) ).

fof(f56,axiom,
    succ(s55,s56),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound56) ).

fof(f57,axiom,
    succ(s56,s57),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound57) ).

fof(f58,axiom,
    succ(s57,s58),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound58) ).

fof(f59,axiom,
    succ(s58,s59),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound59) ).

fof(f60,axiom,
    succ(s59,s60),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound60) ).

fof(f61,axiom,
    succ(s60,s61),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound61) ).

fof(f62,axiom,
    succ(s61,s62),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound62) ).

fof(f63,axiom,
    succ(s62,s63),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound63) ).

fof(f64,axiom,
    succ(s63,s64),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound64) ).

fof(f65,axiom,
    succ(s64,s65),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound65) ).

fof(f66,axiom,
    succ(s65,s66),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound66) ).

fof(f67,axiom,
    succ(s66,s67),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound67) ).

fof(f68,axiom,
    succ(s67,s68),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound68) ).

fof(f69,axiom,
    succ(s68,s69),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound69) ).

fof(f70,axiom,
    succ(s69,s70),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound70) ).

fof(f71,axiom,
    succ(s70,s71),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound71) ).

fof(f72,axiom,
    succ(s71,s72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound72) ).

fof(f73,axiom,
    succ(s72,s73),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound73) ).

fof(f74,axiom,
    succ(s73,s74),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound74) ).

fof(f75,axiom,
    succ(s74,s75),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound75) ).

fof(f76,axiom,
    succ(s75,s76),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound76) ).

fof(f77,axiom,
    succ(s76,s77),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound77) ).

fof(f78,axiom,
    succ(s77,s78),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound78) ).

fof(f79,axiom,
    succ(s78,s79),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound79) ).

fof(f80,axiom,
    succ(s79,s80),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound80) ).

fof(f81,axiom,
    succ(s80,s81),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound81) ).

fof(f82,axiom,
    succ(s81,s82),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound82) ).

fof(f83,axiom,
    succ(s82,s83),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound83) ).

fof(f84,axiom,
    succ(s83,s84),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound84) ).

fof(f85,axiom,
    succ(s84,s85),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound85) ).

fof(f86,axiom,
    succ(s85,s86),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound86) ).

fof(f87,axiom,
    succ(s86,s87),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound87) ).

fof(f88,axiom,
    succ(s87,s88),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound88) ).

fof(f89,axiom,
    succ(s88,s89),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound89) ).

fof(f90,axiom,
    succ(s89,s90),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound90) ).

fof(f91,axiom,
    succ(s90,s91),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound91) ).

fof(f92,axiom,
    succ(s91,s92),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound92) ).

fof(f93,axiom,
    succ(s92,s93),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound93) ).

fof(f94,axiom,
    succ(s93,s94),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound94) ).

fof(f95,axiom,
    succ(s94,s95),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound95) ).

fof(f96,axiom,
    succ(s95,s96),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound96) ).

fof(f97,axiom,
    succ(s96,s97),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound97) ).

fof(f98,axiom,
    succ(s97,s98),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound98) ).

fof(f99,axiom,
    succ(s98,s99),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound99) ).

fof(f100,axiom,
    last(s99),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound100) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( trans(X0,X1)
      | ~ succ(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound101) ).

fof(f102,axiom,
    ( trans(s99,s99)
    | trans(s99,s98)
    | trans(s99,s97)
    | trans(s99,s96)
    | trans(s99,s95)
    | trans(s99,s94)
    | trans(s99,s93)
    | trans(s99,s92)
    | trans(s99,s91)
    | trans(s99,s90)
    | trans(s99,s89)
    | trans(s99,s88)
    | trans(s99,s87)
    | trans(s99,s86)
    | trans(s99,s85)
    | trans(s99,s84)
    | trans(s99,s83)
    | trans(s99,s82)
    | trans(s99,s81)
    | trans(s99,s80)
    | trans(s99,s79)
    | trans(s99,s78)
    | trans(s99,s77)
    | trans(s99,s76)
    | trans(s99,s75)
    | trans(s99,s74)
    | trans(s99,s73)
    | trans(s99,s72)
    | trans(s99,s71)
    | trans(s99,s70)
    | trans(s99,s69)
    | trans(s99,s68)
    | trans(s99,s67)
    | trans(s99,s66)
    | trans(s99,s65)
    | trans(s99,s64)
    | trans(s99,s63)
    | trans(s99,s62)
    | trans(s99,s61)
    | trans(s99,s60)
    | trans(s99,s59)
    | trans(s99,s58)
    | trans(s99,s57)
    | trans(s99,s56)
    | trans(s99,s55)
    | trans(s99,s54)
    | trans(s99,s53)
    | trans(s99,s52)
    | trans(s99,s51)
    | trans(s99,s50)
    | trans(s99,s49)
    | trans(s99,s48)
    | trans(s99,s47)
    | trans(s99,s46)
    | trans(s99,s45)
    | trans(s99,s44)
    | trans(s99,s43)
    | trans(s99,s42)
    | trans(s99,s41)
    | trans(s99,s40)
    | trans(s99,s39)
    | trans(s99,s38)
    | trans(s99,s37)
    | trans(s99,s36)
    | trans(s99,s35)
    | trans(s99,s34)
    | trans(s99,s33)
    | trans(s99,s32)
    | trans(s99,s31)
    | trans(s99,s30)
    | trans(s99,s29)
    | trans(s99,s28)
    | trans(s99,s27)
    | trans(s99,s26)
    | trans(s99,s25)
    | trans(s99,s24)
    | trans(s99,s23)
    | trans(s99,s22)
    | trans(s99,s21)
    | trans(s99,s20)
    | trans(s99,s19)
    | trans(s99,s18)
    | trans(s99,s17)
    | trans(s99,s16)
    | trans(s99,s15)
    | trans(s99,s14)
    | trans(s99,s13)
    | trans(s99,s12)
    | trans(s99,s11)
    | trans(s99,s10)
    | trans(s99,s9)
    | trans(s99,s8)
    | trans(s99,s7)
    | trans(s99,s6)
    | trans(s99,s5)
    | trans(s99,s4)
    | trans(s99,s3)
    | trans(s99,s2)
    | trans(s99,s1)
    | trans(s99,s0)
    | ~ loop ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bound102) ).

fof(f104,axiom,
    ! [X0] :
      ( ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_2) ).

fof(f105,axiom,
    ! [X0] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_3) ).

fof(f106,axiom,
    ! [X0] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_4) ).

fof(f108,axiom,
    ! [X0] :
      ( ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_6) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_7) ).

fof(f110,axiom,
    ! [X0] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_8) ).

fof(f112,axiom,
    ! [X0] :
      ( ~ m_main_v_turn(X0,c_2)
      | ~ m_main_v_turn(X0,c_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_10) ).

fof(f113,axiom,
    m_main_v_state1(s0,c_n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_11) ).

fof(f114,axiom,
    m_main_v_state2(s0,c_n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_12) ).

fof(f115,axiom,
    m_main_v_turn(s0,c_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_13) ).

fof(f116,axiom,
    ! [X0] :
      ( ~ node1(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_14) ).

fof(f117,axiom,
    ! [X0] :
      ( ~ node1(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_15) ).

fof(f118,axiom,
    ! [X0] :
      ( ~ node2(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_16) ).

fof(f119,axiom,
    ! [X0] :
      ( ~ node2(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_17) ).

fof(f120,axiom,
    ! [X0] :
      ( ~ node3(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_18) ).

fof(f121,axiom,
    ! [X0] :
      ( ~ node3(X0)
      | m_main_v_state2(X0,c_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_19) ).

fof(f122,axiom,
    ! [X0] :
      ( ~ node4(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_20) ).

fof(f123,axiom,
    ! [X0] :
      ( ~ node4(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_21) ).

fof(f124,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_22) ).

fof(f125,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_23) ).

fof(f126,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_turn(X0,c_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_24) ).

fof(f127,axiom,
    ! [X2,X0,X1] :
      ( ~ node6(X2,X0)
      | ~ m_main_v_state1(X2,X1)
      | m_main_v_state1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_25) ).

fof(f128,axiom,
    ! [X2,X0,X1] :
      ( ~ node6(X2,X0)
      | m_main_v_state1(X2,X1)
      | ~ m_main_v_state1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_26) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( ~ node7(X0,X1)
      | m_main_v_state1(X1,c_t1)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_27) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( ~ node7(X0,X1)
      | m_main_v_state1(X1,c_t1)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_n1)
      | node1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_28) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ node7(X0,X1)
      | m_main_v_state1(X1,c_c1)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1)
      | node3(X0)
      | node2(X0)
      | node1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_30) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( ~ node7(X0,X1)
      | m_main_v_state1(X1,c_c1)
      | ~ m_main_v_turn(X0,c_1)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_t1)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_31) ).

fof(f134,axiom,
    ! [X0,X1] :
      ( ~ node7(X0,X1)
      | m_main_v_state1(X1,c_n1)
      | ~ m_main_v_state1(X0,c_c1)
      | node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_32) ).

fof(f135,axiom,
    ! [X0,X1] :
      ( ~ node7(X0,X1)
      | node6(X0,X1)
      | m_main_v_state1(X0,c_c1)
      | node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_33) ).

fof(f136,axiom,
    ! [X0,X1] :
      ( node7(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_34) ).

fof(f137,axiom,
    ! [X0] :
      ( ~ node8(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_35) ).

fof(f138,axiom,
    ! [X0] :
      ( ~ node8(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_36) ).

fof(f139,axiom,
    ! [X0] :
      ( ~ node9(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_37) ).

fof(f140,axiom,
    ! [X0] :
      ( ~ node9(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_38) ).

fof(f141,axiom,
    ! [X0] :
      ( ~ node10(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_39) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ node10(X0)
      | m_main_v_state1(X0,c_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_40) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ node11(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_42) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_43) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_44) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_turn(X0,c_2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_45) ).

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( ~ node13(X2,X0)
      | ~ m_main_v_state2(X2,X1)
      | m_main_v_state2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_46) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ node13(X2,X0)
      | m_main_v_state2(X2,X1)
      | ~ m_main_v_state2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_47) ).

fof(f150,axiom,
    ! [X0,X1] :
      ( ~ node14(X0,X1)
      | m_main_v_state2(X1,c_t2)
      | ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_48) ).

fof(f151,axiom,
    ! [X0,X1] :
      ( ~ node14(X0,X1)
      | m_main_v_state2(X1,c_t2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state2(X0,c_n2)
      | node8(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_49) ).

fof(f153,axiom,
    ! [X0,X1] :
      ( ~ node14(X0,X1)
      | m_main_v_state2(X1,c_c2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state2(X0,c_t2)
      | node10(X0)
      | node9(X0)
      | node8(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_51) ).

fof(f155,axiom,
    ! [X0,X1] :
      ( ~ node14(X0,X1)
      | m_main_v_state2(X1,c_n2)
      | ~ m_main_v_state2(X0,c_c2)
      | node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_53) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( ~ node14(X0,X1)
      | node13(X0,X1)
      | m_main_v_state2(X0,c_c2)
      | node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_54) ).

fof(f157,axiom,
    ! [X0,X1] :
      ( node14(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_55) ).

fof(f158,axiom,
    ! [X0] :
      ( ~ node15(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_56) ).

fof(f159,axiom,
    ! [X0] :
      ( ~ node15(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_57) ).

fof(f160,axiom,
    ! [X0] :
      ( ~ node16(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_58) ).

fof(f161,axiom,
    ! [X0] :
      ( ~ node16(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_59) ).

fof(f162,axiom,
    ! [X2,X0,X1] :
      ( ~ node17(X2,X0)
      | ~ m_main_v_turn(X2,X1)
      | m_main_v_turn(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_60) ).

fof(f163,axiom,
    ! [X2,X0,X1] :
      ( ~ node17(X2,X0)
      | m_main_v_turn(X2,X1)
      | ~ m_main_v_turn(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_61) ).

fof(f164,axiom,
    ! [X0,X1] :
      ( ~ node18(X0,X1)
      | m_main_v_turn(X1,c_2)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_62) ).

fof(f165,axiom,
    ! [X0,X1] :
      ( ~ node18(X0,X1)
      | m_main_v_turn(X1,c_1)
      | ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(X0,c_n2)
      | node15(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_63) ).

fof(f166,axiom,
    ! [X0,X1] :
      ( ~ node18(X0,X1)
      | node17(X0,X1)
      | node16(X0)
      | node15(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_64) ).

fof(f167,axiom,
    ! [X0,X1] :
      ( node18(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_65) ).

fof(f168,negated_conjecture,
    ! [X0] :
      ( ~ always19(X0)
      | ~ m_main_v_state1(X0,c_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty1) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ always19(X1)
      | ~ trans(X1,X0)
      | always19(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty2) ).

fof(f171,negated_conjecture,
    ! [X0] :
      ( ~ node20(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty4) ).

fof(f172,negated_conjecture,
    ! [X0] :
      ( ~ node20(X0)
      | always19(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty5) ).

fof(f173,negated_conjecture,
    ! [X0] :
      ( ~ until21(X0)
      | xuntil22(X0)
      | node20(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty6) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil22(X1)
      | ~ succ(X1,X0)
      | until21(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty7) ).

fof(f175,negated_conjecture,
    ! [X0] :
      ( ~ xuntil22(X0)
      | ~ last(X0)
      | loop ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty8) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil22(X1)
      | ~ last(X1)
      | ~ trans(X1,X0)
      | until2p23(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty9) ).

fof(f177,negated_conjecture,
    ! [X0] :
      ( ~ until2p23(X0)
      | xuntil2p24(X0)
      | node20(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty10) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil2p24(X1)
      | ~ succ(X1,X0)
      | until2p23(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty11) ).

fof(f179,negated_conjecture,
    ! [X0] :
      ( ~ xuntil2p24(X0)
      | ~ last(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty12) ).

fof(f180,negated_conjecture,
    until21(s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty13) ).

tcf(c_229,plain,
    succ(s0,s1),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_230,plain,
    succ(s1,s2),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_231,plain,
    succ(s2,s3),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_232,plain,
    succ(s3,s4),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_233,plain,
    succ(s4,s5),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_234,plain,
    succ(s5,s6),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_235,plain,
    succ(s6,s7),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_236,plain,
    succ(s7,s8),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_237,plain,
    succ(s8,s9),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_238,plain,
    succ(s9,s10),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_239,plain,
    succ(s10,s11),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_240,plain,
    succ(s11,s12),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_241,plain,
    succ(s12,s13),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_242,plain,
    succ(s13,s14),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_243,plain,
    succ(s14,s15),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_244,plain,
    succ(s15,s16),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_245,plain,
    succ(s16,s17),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_246,plain,
    succ(s17,s18),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_247,plain,
    succ(s18,s19),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_248,plain,
    succ(s19,s20),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_249,plain,
    succ(s20,s21),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_250,plain,
    succ(s21,s22),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_251,plain,
    succ(s22,s23),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_252,plain,
    succ(s23,s24),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_253,plain,
    succ(s24,s25),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_254,plain,
    succ(s25,s26),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_255,plain,
    succ(s26,s27),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_256,plain,
    succ(s27,s28),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_257,plain,
    succ(s28,s29),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_258,plain,
    succ(s29,s30),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_259,plain,
    succ(s30,s31),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_260,plain,
    succ(s31,s32),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_261,plain,
    succ(s32,s33),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_262,plain,
    succ(s33,s34),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_263,plain,
    succ(s34,s35),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_264,plain,
    succ(s35,s36),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_265,plain,
    succ(s36,s37),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_266,plain,
    succ(s37,s38),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_267,plain,
    succ(s38,s39),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_268,plain,
    succ(s39,s40),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_269,plain,
    succ(s40,s41),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_270,plain,
    succ(s41,s42),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_271,plain,
    succ(s42,s43),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_272,plain,
    succ(s43,s44),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_273,plain,
    succ(s44,s45),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_274,plain,
    succ(s45,s46),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_275,plain,
    succ(s46,s47),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_276,plain,
    succ(s47,s48),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_277,plain,
    succ(s48,s49),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_278,plain,
    succ(s49,s50),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_279,plain,
    succ(s50,s51),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_280,plain,
    succ(s51,s52),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_281,plain,
    succ(s52,s53),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_282,plain,
    succ(s53,s54),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_283,plain,
    succ(s54,s55),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_284,plain,
    succ(s55,s56),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_285,plain,
    succ(s56,s57),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_286,plain,
    succ(s57,s58),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_287,plain,
    succ(s58,s59),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_288,plain,
    succ(s59,s60),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_289,plain,
    succ(s60,s61),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_290,plain,
    succ(s61,s62),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_291,plain,
    succ(s62,s63),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_292,plain,
    succ(s63,s64),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_293,plain,
    succ(s64,s65),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_294,plain,
    succ(s65,s66),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_295,plain,
    succ(s66,s67),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_296,plain,
    succ(s67,s68),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_297,plain,
    succ(s68,s69),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_298,plain,
    succ(s69,s70),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_299,plain,
    succ(s70,s71),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_300,plain,
    succ(s71,s72),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_301,plain,
    succ(s72,s73),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_302,plain,
    succ(s73,s74),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_303,plain,
    succ(s74,s75),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_304,plain,
    succ(s75,s76),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_305,plain,
    succ(s76,s77),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_306,plain,
    succ(s77,s78),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_307,plain,
    succ(s78,s79),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_308,plain,
    succ(s79,s80),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_309,plain,
    succ(s80,s81),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_310,plain,
    succ(s81,s82),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_311,plain,
    succ(s82,s83),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_312,plain,
    succ(s83,s84),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_313,plain,
    succ(s84,s85),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_314,plain,
    succ(s85,s86),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_315,plain,
    succ(s86,s87),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_316,plain,
    succ(s87,s88),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_317,plain,
    succ(s88,s89),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_318,plain,
    succ(s89,s90),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_319,plain,
    succ(s90,s91),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_320,plain,
    succ(s91,s92),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_321,plain,
    succ(s92,s93),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_322,plain,
    succ(s93,s94),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_323,plain,
    succ(s94,s95),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_324,plain,
    succ(s95,s96),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_325,plain,
    succ(s96,s97),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_326,plain,
    succ(s97,s98),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_327,plain,
    succ(s98,s99),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_328,plain,
    last(s99),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_329,plain,
    ! [X0: $i,X1: $i] :
      ( trans(X0,X1)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_330,plain,
    ( trans(s99,s99)
    | trans(s99,s98)
    | trans(s99,s97)
    | trans(s99,s96)
    | trans(s99,s95)
    | trans(s99,s94)
    | trans(s99,s93)
    | trans(s99,s92)
    | trans(s99,s91)
    | trans(s99,s90)
    | trans(s99,s89)
    | trans(s99,s88)
    | trans(s99,s87)
    | trans(s99,s86)
    | trans(s99,s85)
    | trans(s99,s84)
    | trans(s99,s83)
    | trans(s99,s82)
    | trans(s99,s81)
    | trans(s99,s80)
    | trans(s99,s79)
    | trans(s99,s78)
    | trans(s99,s77)
    | trans(s99,s76)
    | trans(s99,s75)
    | trans(s99,s74)
    | trans(s99,s73)
    | trans(s99,s72)
    | trans(s99,s71)
    | trans(s99,s70)
    | trans(s99,s69)
    | trans(s99,s68)
    | trans(s99,s67)
    | trans(s99,s66)
    | trans(s99,s65)
    | trans(s99,s64)
    | trans(s99,s63)
    | trans(s99,s62)
    | trans(s99,s61)
    | trans(s99,s60)
    | trans(s99,s59)
    | trans(s99,s58)
    | trans(s99,s57)
    | trans(s99,s56)
    | trans(s99,s55)
    | trans(s99,s54)
    | trans(s99,s53)
    | trans(s99,s52)
    | trans(s99,s51)
    | trans(s99,s50)
    | trans(s99,s49)
    | trans(s99,s48)
    | trans(s99,s47)
    | trans(s99,s46)
    | trans(s99,s45)
    | trans(s99,s44)
    | trans(s99,s43)
    | trans(s99,s42)
    | trans(s99,s41)
    | trans(s99,s40)
    | trans(s99,s39)
    | trans(s99,s38)
    | trans(s99,s37)
    | trans(s99,s36)
    | trans(s99,s35)
    | trans(s99,s34)
    | trans(s99,s33)
    | trans(s99,s32)
    | trans(s99,s31)
    | trans(s99,s30)
    | trans(s99,s29)
    | trans(s99,s28)
    | trans(s99,s27)
    | trans(s99,s26)
    | trans(s99,s25)
    | trans(s99,s24)
    | trans(s99,s23)
    | trans(s99,s22)
    | trans(s99,s21)
    | trans(s99,s20)
    | trans(s99,s19)
    | trans(s99,s18)
    | trans(s99,s17)
    | trans(s99,s16)
    | trans(s99,s15)
    | trans(s99,s14)
    | trans(s99,s13)
    | trans(s99,s12)
    | trans(s99,s11)
    | trans(s99,s10)
    | trans(s99,s9)
    | trans(s99,s8)
    | trans(s99,s7)
    | trans(s99,s6)
    | trans(s99,s5)
    | trans(s99,s4)
    | trans(s99,s3)
    | trans(s99,s2)
    | trans(s99,s1)
    | trans(s99,s0)
    | ~ loop ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_332,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_333,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_334,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_336,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_337,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_338,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_t2) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_340,plain,
    ! [X0: $i] :
      ( ~ m_main_v_turn(X0,c_2)
      | ~ m_main_v_turn(X0,c_1) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_341,plain,
    m_main_v_state1(s0,c_n1),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_342,plain,
    m_main_v_state2(s0,c_n2),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_343,plain,
    m_main_v_turn(s0,c_1),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_344,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node1(X0) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_345,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node1(X0) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_346,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node2(X0) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_347,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node2(X0) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_348,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node3(X0) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_349,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_c2)
      | ~ node3(X0) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_350,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node4(X0) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_351,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node4(X0) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_352,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_353,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_354,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_1)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_state1(X2,X1)
      | ~ node6(X0,X2)
      | ~ m_main_v_state1(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_356,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_state1(X2,X1)
      | ~ node6(X2,X0)
      | ~ m_main_v_state1(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_357,plain,
    ! [X0: $i,X1: $i] :
      ( m_main_v_state1(X1,c_t1)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ node7(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_358,plain,
    ! [X0: $i,X1: $i] :
      ( node1(X0)
      | m_main_v_state1(X1,c_t1)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ node7(X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_360,plain,
    ! [X0: $i,X1: $i] :
      ( node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(X1,c_c1)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1)
      | ~ node7(X0,X1) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_361,plain,
    ! [X0: $i,X1: $i] :
      ( node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(X1,c_c1)
      | ~ m_main_v_turn(X0,c_1)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_t1)
      | ~ node7(X0,X1) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_362,plain,
    ! [X0: $i,X1: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(X1,c_n1)
      | ~ m_main_v_state1(X0,c_c1)
      | ~ node7(X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_363,plain,
    ! [X0: $i,X1: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(X0,c_c1)
      | node6(X0,X1)
      | ~ node7(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_364,plain,
    ! [X0: $i,X1: $i] :
      ( node7(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_365,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node8(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_366,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node8(X0) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_367,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node9(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_368,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node9(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_369,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node10(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_370,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_c1)
      | ~ node10(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_372,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node11(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_373,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_374,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_375,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_2)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_376,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_state2(X2,X1)
      | ~ node13(X0,X2)
      | ~ m_main_v_state2(X0,X1) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_377,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_state2(X2,X1)
      | ~ node13(X2,X0)
      | ~ m_main_v_state2(X0,X1) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_378,plain,
    ! [X0: $i,X1: $i] :
      ( m_main_v_state2(X1,c_t2)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1)
      | ~ node14(X0,X1) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_379,plain,
    ! [X0: $i,X1: $i] :
      ( node8(X0)
      | m_main_v_state2(X1,c_t2)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ node14(X0,X1) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_381,plain,
    ! [X0: $i,X1: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(X1,c_c2)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ node14(X0,X1) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_383,plain,
    ! [X0: $i,X1: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(X1,c_n2)
      | ~ m_main_v_state2(X0,c_c2)
      | ~ node14(X0,X1) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_384,plain,
    ! [X0: $i,X1: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(X0,c_c2)
      | node13(X0,X1)
      | ~ node14(X0,X1) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_385,plain,
    ! [X0: $i,X1: $i] :
      ( node14(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node15(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_387,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node15(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_388,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node16(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node16(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_390,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_turn(X2,X1)
      | ~ node17(X0,X2)
      | ~ m_main_v_turn(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_391,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_turn(X2,X1)
      | ~ node17(X2,X0)
      | ~ m_main_v_turn(X0,X1) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_392,plain,
    ! [X0: $i,X1: $i] :
      ( m_main_v_turn(X1,c_2)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1)
      | ~ node18(X0,X1) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_393,plain,
    ! [X0: $i,X1: $i] :
      ( node15(X0)
      | m_main_v_turn(X1,c_1)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1)
      | ~ node18(X0,X1) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_394,plain,
    ! [X0: $i,X1: $i] :
      ( node16(X0)
      | node15(X0)
      | node17(X0,X1)
      | ~ node18(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_395,plain,
    ! [X0: $i,X1: $i] :
      ( node18(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( ~ always19(X0)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( always19(X1)
      | ~ always19(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node20(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( always19(X0)
      | ~ node20(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( xuntil22(X0)
      | node20(X0)
      | ~ until21(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until21(X1)
      | ~ xuntil22(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( loop
      | ~ xuntil22(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p23(X1)
      | ~ xuntil22(X0)
      | ~ last(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( xuntil2p24(X0)
      | node20(X0)
      | ~ until2p23(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p23(X1)
      | ~ xuntil2p24(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( ~ xuntil2p24(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_408,negated_conjecture,
    until21(s0),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_410,plain,
    ( ~ xuntil2p24(s99)
    | ~ last(s99) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_411,plain,
    ( m_main_v_state1(s99,c_t1)
    | ~ node20(s99) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_421,plain,
    ( m_main_v_state1(s99,c_c1)
    | ~ node10(s99) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_424,plain,
    ( m_main_v_state2(s99,c_n2)
    | ~ node9(s99) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_425,plain,
    ( m_main_v_state1(s99,c_t1)
    | ~ node8(s99) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_439,plain,
    ( xuntil2p24(s99)
    | node20(s99)
    | ~ until2p23(s99) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_440,plain,
    ( loop
    | ~ xuntil22(s99)
    | ~ last(s99) ),
    inference(instantiation,[status(thm)],[c_403]) ).

tcf(c_441,plain,
    ( xuntil22(s99)
    | node20(s99)
    | ~ until21(s99) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_444,plain,
    ( node18(s99,s99)
    | ~ trans(s99,s99) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_453,plain,
    ( ~ m_main_v_state1(s99,c_c1)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_454,plain,
    ( ~ m_main_v_state1(s99,c_t1)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_461,plain,
    ( m_main_v_turn(s99,c_2)
    | ~ node18(s99,s99)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_477,plain,
    ( xuntil22(s0)
    | node20(s0)
    | ~ until21(s0) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_478,plain,
    ( ~ m_main_v_state1(s0,c_t1)
    | ~ m_main_v_state1(s0,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_479,plain,
    ( trans(s0,s1)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_480,plain,
    ( trans(s1,s2)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_481,plain,
    ( trans(s2,s3)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_482,plain,
    ( trans(s3,s4)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_483,plain,
    ( trans(s4,s5)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_484,plain,
    ( trans(s5,s6)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_485,plain,
    ( trans(s6,s7)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_486,plain,
    ( trans(s7,s8)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_487,plain,
    ( trans(s8,s9)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_488,plain,
    ( trans(s9,s10)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_489,plain,
    ( trans(s10,s11)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_490,plain,
    ( trans(s11,s12)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_491,plain,
    ( trans(s12,s13)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_492,plain,
    ( trans(s13,s14)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_493,plain,
    ( trans(s14,s15)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_494,plain,
    ( trans(s15,s16)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_495,plain,
    ( trans(s16,s17)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_496,plain,
    ( trans(s17,s18)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_497,plain,
    ( trans(s18,s19)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_498,plain,
    ( trans(s19,s20)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_499,plain,
    ( trans(s20,s21)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_500,plain,
    ( trans(s21,s22)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_501,plain,
    ( trans(s22,s23)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_502,plain,
    ( trans(s23,s24)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_503,plain,
    ( trans(s24,s25)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_504,plain,
    ( trans(s25,s26)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_505,plain,
    ( trans(s26,s27)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_506,plain,
    ( trans(s27,s28)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_507,plain,
    ( trans(s28,s29)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_508,plain,
    ( trans(s29,s30)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_509,plain,
    ( trans(s30,s31)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_510,plain,
    ( trans(s31,s32)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_511,plain,
    ( trans(s32,s33)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_512,plain,
    ( trans(s33,s34)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_513,plain,
    ( trans(s34,s35)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_514,plain,
    ( trans(s35,s36)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_515,plain,
    ( trans(s36,s37)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_516,plain,
    ( trans(s37,s38)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_517,plain,
    ( trans(s38,s39)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_518,plain,
    ( trans(s39,s40)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_519,plain,
    ( trans(s40,s41)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_520,plain,
    ( trans(s41,s42)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_521,plain,
    ( trans(s42,s43)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_522,plain,
    ( trans(s43,s44)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_523,plain,
    ( trans(s44,s45)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_524,plain,
    ( trans(s45,s46)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_525,plain,
    ( trans(s46,s47)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_526,plain,
    ( trans(s47,s48)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_527,plain,
    ( trans(s48,s49)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_528,plain,
    ( trans(s49,s50)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_529,plain,
    ( trans(s50,s51)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_530,plain,
    ( trans(s51,s52)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_531,plain,
    ( trans(s52,s53)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_532,plain,
    ( trans(s53,s54)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_533,plain,
    ( trans(s54,s55)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_534,plain,
    ( trans(s55,s56)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_535,plain,
    ( trans(s56,s57)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_536,plain,
    ( trans(s57,s58)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_537,plain,
    ( trans(s58,s59)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_538,plain,
    ( trans(s59,s60)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_539,plain,
    ( trans(s60,s61)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_540,plain,
    ( trans(s61,s62)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_541,plain,
    ( trans(s62,s63)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_542,plain,
    ( trans(s63,s64)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_543,plain,
    ( trans(s64,s65)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_544,plain,
    ( trans(s65,s66)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_545,plain,
    ( trans(s66,s67)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_546,plain,
    ( trans(s67,s68)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_547,plain,
    ( trans(s68,s69)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_548,plain,
    ( trans(s69,s70)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_549,plain,
    ( trans(s70,s71)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_550,plain,
    ( trans(s71,s72)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_551,plain,
    ( trans(s72,s73)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_552,plain,
    ( trans(s73,s74)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_553,plain,
    ( trans(s74,s75)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_554,plain,
    ( trans(s75,s76)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_555,plain,
    ( trans(s76,s77)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_556,plain,
    ( trans(s77,s78)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_557,plain,
    ( trans(s78,s79)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_558,plain,
    ( trans(s79,s80)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_559,plain,
    ( trans(s80,s81)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_560,plain,
    ( trans(s81,s82)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_561,plain,
    ( trans(s82,s83)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_562,plain,
    ( trans(s83,s84)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_563,plain,
    ( trans(s84,s85)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_564,plain,
    ( trans(s85,s86)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_565,plain,
    ( trans(s86,s87)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_566,plain,
    ( trans(s87,s88)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_567,plain,
    ( trans(s88,s89)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_568,plain,
    ( trans(s89,s90)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_569,plain,
    ( trans(s90,s91)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_570,plain,
    ( trans(s91,s92)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_571,plain,
    ( trans(s92,s93)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_572,plain,
    ( trans(s93,s94)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_573,plain,
    ( trans(s94,s95)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_574,plain,
    ( trans(s95,s96)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_575,plain,
    ( trans(s96,s97)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_576,plain,
    ( trans(s97,s98)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_577,plain,
    ( trans(s98,s99)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_329]) ).

tcf(c_578,plain,
    ( ~ m_main_v_turn(s0,c_2)
    | ~ m_main_v_turn(s0,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_581,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node16(s0) ),
    inference(instantiation,[status(thm)],[c_389]) ).

tcf(c_583,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node8(s0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_586,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node20(s0) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_589,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s0,c_t1)
      | ~ node7(X0,s0)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_590,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node7(s99,s0)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_589]) ).

tcf(c_593,plain,
    ( node18(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_594,plain,
    ( node14(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_595,plain,
    ( node7(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_597,plain,
    ( node14(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_598,plain,
    ( node7(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_600,plain,
    ( node14(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_601,plain,
    ( node7(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_602,plain,
    ( node18(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_603,plain,
    ( node14(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_604,plain,
    ( node7(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_606,plain,
    ( node14(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_607,plain,
    ( node7(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_608,plain,
    ( node18(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_609,plain,
    ( node14(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_610,plain,
    ( node7(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_612,plain,
    ( node14(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_613,plain,
    ( node7(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_614,plain,
    ( node18(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_615,plain,
    ( node14(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_616,plain,
    ( node7(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_618,plain,
    ( node14(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_619,plain,
    ( node7(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_620,plain,
    ( node18(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_621,plain,
    ( node14(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_622,plain,
    ( node7(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_624,plain,
    ( node14(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_625,plain,
    ( node7(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_626,plain,
    ( node18(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_627,plain,
    ( node14(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_628,plain,
    ( node7(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_630,plain,
    ( node14(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_631,plain,
    ( node7(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_632,plain,
    ( node18(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_633,plain,
    ( node14(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_634,plain,
    ( node7(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_636,plain,
    ( node14(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_637,plain,
    ( node7(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_638,plain,
    ( node18(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_639,plain,
    ( node14(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_640,plain,
    ( node7(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_642,plain,
    ( node14(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_643,plain,
    ( node7(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_644,plain,
    ( node18(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_645,plain,
    ( node14(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_646,plain,
    ( node7(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_648,plain,
    ( node14(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_649,plain,
    ( node7(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_650,plain,
    ( node18(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_651,plain,
    ( node14(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_652,plain,
    ( node7(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_654,plain,
    ( node14(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_655,plain,
    ( node7(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_656,plain,
    ( node18(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_657,plain,
    ( node14(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_658,plain,
    ( node7(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_660,plain,
    ( node14(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_661,plain,
    ( node7(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_662,plain,
    ( node18(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_663,plain,
    ( node14(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_664,plain,
    ( node7(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_666,plain,
    ( node14(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_667,plain,
    ( node7(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_668,plain,
    ( node18(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_669,plain,
    ( node14(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_670,plain,
    ( node7(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_672,plain,
    ( node14(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_673,plain,
    ( node7(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_674,plain,
    ( node18(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_675,plain,
    ( node14(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_676,plain,
    ( node7(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_678,plain,
    ( node14(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_679,plain,
    ( node7(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_680,plain,
    ( node18(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_681,plain,
    ( node14(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_682,plain,
    ( node7(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_684,plain,
    ( node14(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_685,plain,
    ( node7(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_686,plain,
    ( node18(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_687,plain,
    ( node14(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_688,plain,
    ( node7(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_690,plain,
    ( node14(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_691,plain,
    ( node7(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_692,plain,
    ( node18(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_693,plain,
    ( node14(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_694,plain,
    ( node7(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_696,plain,
    ( node14(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_697,plain,
    ( node7(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_698,plain,
    ( node18(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_699,plain,
    ( node14(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_700,plain,
    ( node7(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_702,plain,
    ( node14(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_703,plain,
    ( node7(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_704,plain,
    ( node18(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_705,plain,
    ( node14(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_706,plain,
    ( node7(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_708,plain,
    ( node14(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_709,plain,
    ( node7(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_710,plain,
    ( node18(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_711,plain,
    ( node14(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_712,plain,
    ( node7(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_714,plain,
    ( node14(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_715,plain,
    ( node7(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_716,plain,
    ( node18(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_717,plain,
    ( node14(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_718,plain,
    ( node7(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_720,plain,
    ( node14(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_721,plain,
    ( node7(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_722,plain,
    ( node18(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_723,plain,
    ( node14(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_724,plain,
    ( node7(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_726,plain,
    ( node14(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_727,plain,
    ( node7(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_728,plain,
    ( node18(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_729,plain,
    ( node14(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_730,plain,
    ( node7(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_732,plain,
    ( node14(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_733,plain,
    ( node7(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_734,plain,
    ( node18(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_735,plain,
    ( node14(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_736,plain,
    ( node7(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_738,plain,
    ( node14(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_739,plain,
    ( node7(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_740,plain,
    ( node18(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_741,plain,
    ( node14(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_742,plain,
    ( node7(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_743,plain,
    ( node18(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_744,plain,
    ( node14(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_745,plain,
    ( node7(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_746,plain,
    ( node18(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_747,plain,
    ( node14(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_748,plain,
    ( node7(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_750,plain,
    ( node14(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_751,plain,
    ( node7(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_752,plain,
    ( node18(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_753,plain,
    ( node14(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_754,plain,
    ( node7(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_755,plain,
    ( node18(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_756,plain,
    ( node14(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_757,plain,
    ( node7(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_758,plain,
    ( node18(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_759,plain,
    ( node14(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_760,plain,
    ( node7(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_762,plain,
    ( node14(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_763,plain,
    ( node7(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_764,plain,
    ( node18(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_765,plain,
    ( node14(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_766,plain,
    ( node7(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_767,plain,
    ( node18(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_768,plain,
    ( node14(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_769,plain,
    ( node7(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_770,plain,
    ( node18(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_771,plain,
    ( node14(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_772,plain,
    ( node7(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_774,plain,
    ( node14(s60,s61)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_775,plain,
    ( node7(s60,s61)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_776,plain,
    ( node18(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_777,plain,
    ( node14(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_778,plain,
    ( node7(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_779,plain,
    ( node18(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_780,plain,
    ( node14(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_781,plain,
    ( node7(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_782,plain,
    ( node18(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_783,plain,
    ( node14(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_784,plain,
    ( node7(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_786,plain,
    ( node14(s64,s65)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_787,plain,
    ( node7(s64,s65)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_788,plain,
    ( node18(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_789,plain,
    ( node14(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_790,plain,
    ( node7(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_791,plain,
    ( node18(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_792,plain,
    ( node14(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_793,plain,
    ( node7(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_794,plain,
    ( node18(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_795,plain,
    ( node14(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_796,plain,
    ( node7(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_798,plain,
    ( node14(s68,s69)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_799,plain,
    ( node7(s68,s69)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_800,plain,
    ( node18(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_801,plain,
    ( node14(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_802,plain,
    ( node7(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_803,plain,
    ( node18(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_804,plain,
    ( node14(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_805,plain,
    ( node7(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_806,plain,
    ( node18(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_807,plain,
    ( node14(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_808,plain,
    ( node7(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_810,plain,
    ( node14(s72,s73)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_811,plain,
    ( node7(s72,s73)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_812,plain,
    ( node18(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_813,plain,
    ( node14(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_814,plain,
    ( node7(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_815,plain,
    ( node18(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_816,plain,
    ( node14(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_817,plain,
    ( node7(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_818,plain,
    ( node18(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_819,plain,
    ( node14(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_820,plain,
    ( node7(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_822,plain,
    ( node14(s76,s77)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_823,plain,
    ( node7(s76,s77)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_824,plain,
    ( node18(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_825,plain,
    ( node14(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_826,plain,
    ( node7(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_827,plain,
    ( node18(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_828,plain,
    ( node14(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_829,plain,
    ( node7(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_831,plain,
    ( node14(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_832,plain,
    ( node7(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_834,plain,
    ( node14(s80,s81)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_835,plain,
    ( node7(s80,s81)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_836,plain,
    ( node18(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_837,plain,
    ( node14(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_838,plain,
    ( node7(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_839,plain,
    ( node18(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_840,plain,
    ( node14(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_841,plain,
    ( node7(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_843,plain,
    ( node14(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_844,plain,
    ( node7(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_846,plain,
    ( node14(s84,s85)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_847,plain,
    ( node7(s84,s85)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_848,plain,
    ( node18(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_849,plain,
    ( node14(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_850,plain,
    ( node7(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_851,plain,
    ( node18(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_852,plain,
    ( node14(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_853,plain,
    ( node7(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_854,plain,
    ( node18(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_855,plain,
    ( node14(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_856,plain,
    ( node7(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_858,plain,
    ( node14(s88,s89)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_859,plain,
    ( node7(s88,s89)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_860,plain,
    ( node18(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_861,plain,
    ( node14(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_862,plain,
    ( node7(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_863,plain,
    ( node18(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_864,plain,
    ( node14(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_865,plain,
    ( node7(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_866,plain,
    ( node18(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_867,plain,
    ( node14(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_868,plain,
    ( node7(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_870,plain,
    ( node14(s92,s93)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_871,plain,
    ( node7(s92,s93)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_872,plain,
    ( node18(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_873,plain,
    ( node14(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_874,plain,
    ( node7(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_875,plain,
    ( node18(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_876,plain,
    ( node14(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_877,plain,
    ( node7(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_879,plain,
    ( node14(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_880,plain,
    ( node7(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_882,plain,
    ( node14(s96,s97)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_883,plain,
    ( node7(s96,s97)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_884,plain,
    ( node18(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_885,plain,
    ( node14(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_886,plain,
    ( node7(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_887,plain,
    ( node18(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_888,plain,
    ( node14(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_889,plain,
    ( node7(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_895,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s0)
      | ~ succ(s0,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_899,plain,
    ( node16(s0)
    | node15(s0)
    | node17(s0,s1)
    | ~ node18(s0,s1) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_902,plain,
    ( node8(s0)
    | m_main_v_state2(s1,c_t2)
    | ~ node14(s0,s1)
    | ~ m_main_v_state2(s0,c_n2)
    | ~ m_main_v_state1(s0,c_n1) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_908,plain,
    ( node12(s1)
    | node11(s1)
    | node10(s1)
    | node9(s1)
    | node8(s1)
    | node13(s1,s2)
    | m_main_v_state2(s1,c_c2)
    | ~ node14(s1,s2) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_915,plain,
    ( node12(s2)
    | node11(s2)
    | node10(s2)
    | node9(s2)
    | node8(s2)
    | node13(s2,s3)
    | m_main_v_state2(s2,c_c2)
    | ~ node14(s2,s3) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_932,plain,
    ( node5(s4)
    | node4(s4)
    | node3(s4)
    | node2(s4)
    | node1(s4)
    | node6(s4,s5)
    | m_main_v_state1(s4,c_c1)
    | ~ node7(s4,s5) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_935,plain,
    ( node15(s5)
    | m_main_v_turn(s6,c_1)
    | ~ node18(s5,s6)
    | ~ m_main_v_state2(s5,c_n2)
    | ~ m_main_v_state1(s5,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_938,plain,
    ( m_main_v_state2(s6,c_t2)
    | ~ node14(s5,s6)
    | ~ m_main_v_state2(s5,c_n2)
    | ~ m_main_v_state1(s5,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_940,plain,
    ( node3(s5)
    | node2(s5)
    | node1(s5)
    | m_main_v_state1(s6,c_c1)
    | ~ node7(s5,s6)
    | ~ m_main_v_state2(s5,c_n2)
    | ~ m_main_v_state1(s5,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_943,plain,
    ( node12(s6)
    | node11(s6)
    | node10(s6)
    | node9(s6)
    | node8(s6)
    | node13(s6,s7)
    | m_main_v_state2(s6,c_c2)
    | ~ node14(s6,s7) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_960,plain,
    ( node5(s8)
    | node4(s8)
    | node3(s8)
    | node2(s8)
    | node1(s8)
    | node6(s8,s9)
    | m_main_v_state1(s8,c_c1)
    | ~ node7(s8,s9) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_963,plain,
    ( node15(s9)
    | m_main_v_turn(s10,c_1)
    | ~ node18(s9,s10)
    | ~ m_main_v_state2(s9,c_n2)
    | ~ m_main_v_state1(s9,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_966,plain,
    ( m_main_v_state2(s10,c_t2)
    | ~ node14(s9,s10)
    | ~ m_main_v_state2(s9,c_n2)
    | ~ m_main_v_state1(s9,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_968,plain,
    ( node3(s9)
    | node2(s9)
    | node1(s9)
    | m_main_v_state1(s10,c_c1)
    | ~ node7(s9,s10)
    | ~ m_main_v_state2(s9,c_n2)
    | ~ m_main_v_state1(s9,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_971,plain,
    ( node12(s10)
    | node11(s10)
    | node10(s10)
    | node9(s10)
    | node8(s10)
    | node13(s10,s11)
    | m_main_v_state2(s10,c_c2)
    | ~ node14(s10,s11) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_988,plain,
    ( node5(s12)
    | node4(s12)
    | node3(s12)
    | node2(s12)
    | node1(s12)
    | node6(s12,s13)
    | m_main_v_state1(s12,c_c1)
    | ~ node7(s12,s13) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_991,plain,
    ( node15(s13)
    | m_main_v_turn(s14,c_1)
    | ~ node18(s13,s14)
    | ~ m_main_v_state2(s13,c_n2)
    | ~ m_main_v_state1(s13,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_994,plain,
    ( m_main_v_state2(s14,c_t2)
    | ~ node14(s13,s14)
    | ~ m_main_v_state2(s13,c_n2)
    | ~ m_main_v_state1(s13,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_996,plain,
    ( node3(s13)
    | node2(s13)
    | node1(s13)
    | m_main_v_state1(s14,c_c1)
    | ~ node7(s13,s14)
    | ~ m_main_v_state2(s13,c_n2)
    | ~ m_main_v_state1(s13,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_999,plain,
    ( node12(s14)
    | node11(s14)
    | node10(s14)
    | node9(s14)
    | node8(s14)
    | node13(s14,s15)
    | m_main_v_state2(s14,c_c2)
    | ~ node14(s14,s15) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1016,plain,
    ( node5(s16)
    | node4(s16)
    | node3(s16)
    | node2(s16)
    | node1(s16)
    | node6(s16,s17)
    | m_main_v_state1(s16,c_c1)
    | ~ node7(s16,s17) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1019,plain,
    ( node15(s17)
    | m_main_v_turn(s18,c_1)
    | ~ node18(s17,s18)
    | ~ m_main_v_state2(s17,c_n2)
    | ~ m_main_v_state1(s17,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1022,plain,
    ( m_main_v_state2(s18,c_t2)
    | ~ node14(s17,s18)
    | ~ m_main_v_state2(s17,c_n2)
    | ~ m_main_v_state1(s17,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1024,plain,
    ( node3(s17)
    | node2(s17)
    | node1(s17)
    | m_main_v_state1(s18,c_c1)
    | ~ node7(s17,s18)
    | ~ m_main_v_state2(s17,c_n2)
    | ~ m_main_v_state1(s17,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1027,plain,
    ( node12(s18)
    | node11(s18)
    | node10(s18)
    | node9(s18)
    | node8(s18)
    | node13(s18,s19)
    | m_main_v_state2(s18,c_c2)
    | ~ node14(s18,s19) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1044,plain,
    ( node5(s20)
    | node4(s20)
    | node3(s20)
    | node2(s20)
    | node1(s20)
    | node6(s20,s21)
    | m_main_v_state1(s20,c_c1)
    | ~ node7(s20,s21) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1047,plain,
    ( node15(s21)
    | m_main_v_turn(s22,c_1)
    | ~ node18(s21,s22)
    | ~ m_main_v_state2(s21,c_n2)
    | ~ m_main_v_state1(s21,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1050,plain,
    ( m_main_v_state2(s22,c_t2)
    | ~ node14(s21,s22)
    | ~ m_main_v_state2(s21,c_n2)
    | ~ m_main_v_state1(s21,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1052,plain,
    ( node3(s21)
    | node2(s21)
    | node1(s21)
    | m_main_v_state1(s22,c_c1)
    | ~ node7(s21,s22)
    | ~ m_main_v_state2(s21,c_n2)
    | ~ m_main_v_state1(s21,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1055,plain,
    ( node12(s22)
    | node11(s22)
    | node10(s22)
    | node9(s22)
    | node8(s22)
    | node13(s22,s23)
    | m_main_v_state2(s22,c_c2)
    | ~ node14(s22,s23) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1072,plain,
    ( node5(s24)
    | node4(s24)
    | node3(s24)
    | node2(s24)
    | node1(s24)
    | node6(s24,s25)
    | m_main_v_state1(s24,c_c1)
    | ~ node7(s24,s25) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1075,plain,
    ( node15(s25)
    | m_main_v_turn(s26,c_1)
    | ~ node18(s25,s26)
    | ~ m_main_v_state2(s25,c_n2)
    | ~ m_main_v_state1(s25,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1078,plain,
    ( m_main_v_state2(s26,c_t2)
    | ~ node14(s25,s26)
    | ~ m_main_v_state2(s25,c_n2)
    | ~ m_main_v_state1(s25,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1080,plain,
    ( node3(s25)
    | node2(s25)
    | node1(s25)
    | m_main_v_state1(s26,c_c1)
    | ~ node7(s25,s26)
    | ~ m_main_v_state2(s25,c_n2)
    | ~ m_main_v_state1(s25,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1083,plain,
    ( node12(s26)
    | node11(s26)
    | node10(s26)
    | node9(s26)
    | node8(s26)
    | node13(s26,s27)
    | m_main_v_state2(s26,c_c2)
    | ~ node14(s26,s27) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1100,plain,
    ( node5(s28)
    | node4(s28)
    | node3(s28)
    | node2(s28)
    | node1(s28)
    | node6(s28,s29)
    | m_main_v_state1(s28,c_c1)
    | ~ node7(s28,s29) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1103,plain,
    ( node15(s29)
    | m_main_v_turn(s30,c_1)
    | ~ node18(s29,s30)
    | ~ m_main_v_state2(s29,c_n2)
    | ~ m_main_v_state1(s29,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1106,plain,
    ( m_main_v_state2(s30,c_t2)
    | ~ node14(s29,s30)
    | ~ m_main_v_state2(s29,c_n2)
    | ~ m_main_v_state1(s29,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1108,plain,
    ( node3(s29)
    | node2(s29)
    | node1(s29)
    | m_main_v_state1(s30,c_c1)
    | ~ node7(s29,s30)
    | ~ m_main_v_state2(s29,c_n2)
    | ~ m_main_v_state1(s29,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1111,plain,
    ( node12(s30)
    | node11(s30)
    | node10(s30)
    | node9(s30)
    | node8(s30)
    | node13(s30,s31)
    | m_main_v_state2(s30,c_c2)
    | ~ node14(s30,s31) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1128,plain,
    ( node5(s32)
    | node4(s32)
    | node3(s32)
    | node2(s32)
    | node1(s32)
    | node6(s32,s33)
    | m_main_v_state1(s32,c_c1)
    | ~ node7(s32,s33) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1131,plain,
    ( node15(s33)
    | m_main_v_turn(s34,c_1)
    | ~ node18(s33,s34)
    | ~ m_main_v_state2(s33,c_n2)
    | ~ m_main_v_state1(s33,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1134,plain,
    ( m_main_v_state2(s34,c_t2)
    | ~ node14(s33,s34)
    | ~ m_main_v_state2(s33,c_n2)
    | ~ m_main_v_state1(s33,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1136,plain,
    ( node3(s33)
    | node2(s33)
    | node1(s33)
    | m_main_v_state1(s34,c_c1)
    | ~ node7(s33,s34)
    | ~ m_main_v_state2(s33,c_n2)
    | ~ m_main_v_state1(s33,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1139,plain,
    ( node12(s34)
    | node11(s34)
    | node10(s34)
    | node9(s34)
    | node8(s34)
    | node13(s34,s35)
    | m_main_v_state2(s34,c_c2)
    | ~ node14(s34,s35) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1156,plain,
    ( node5(s36)
    | node4(s36)
    | node3(s36)
    | node2(s36)
    | node1(s36)
    | node6(s36,s37)
    | m_main_v_state1(s36,c_c1)
    | ~ node7(s36,s37) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1159,plain,
    ( node15(s37)
    | m_main_v_turn(s38,c_1)
    | ~ node18(s37,s38)
    | ~ m_main_v_state2(s37,c_n2)
    | ~ m_main_v_state1(s37,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1162,plain,
    ( m_main_v_state2(s38,c_t2)
    | ~ node14(s37,s38)
    | ~ m_main_v_state2(s37,c_n2)
    | ~ m_main_v_state1(s37,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1164,plain,
    ( node3(s37)
    | node2(s37)
    | node1(s37)
    | m_main_v_state1(s38,c_c1)
    | ~ node7(s37,s38)
    | ~ m_main_v_state2(s37,c_n2)
    | ~ m_main_v_state1(s37,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1167,plain,
    ( node12(s38)
    | node11(s38)
    | node10(s38)
    | node9(s38)
    | node8(s38)
    | node13(s38,s39)
    | m_main_v_state2(s38,c_c2)
    | ~ node14(s38,s39) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1184,plain,
    ( node5(s40)
    | node4(s40)
    | node3(s40)
    | node2(s40)
    | node1(s40)
    | node6(s40,s41)
    | m_main_v_state1(s40,c_c1)
    | ~ node7(s40,s41) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1187,plain,
    ( node15(s41)
    | m_main_v_turn(s42,c_1)
    | ~ node18(s41,s42)
    | ~ m_main_v_state2(s41,c_n2)
    | ~ m_main_v_state1(s41,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1190,plain,
    ( m_main_v_state2(s42,c_t2)
    | ~ node14(s41,s42)
    | ~ m_main_v_state2(s41,c_n2)
    | ~ m_main_v_state1(s41,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1192,plain,
    ( node3(s41)
    | node2(s41)
    | node1(s41)
    | m_main_v_state1(s42,c_c1)
    | ~ node7(s41,s42)
    | ~ m_main_v_state2(s41,c_n2)
    | ~ m_main_v_state1(s41,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1195,plain,
    ( node12(s42)
    | node11(s42)
    | node10(s42)
    | node9(s42)
    | node8(s42)
    | node13(s42,s43)
    | m_main_v_state2(s42,c_c2)
    | ~ node14(s42,s43) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1212,plain,
    ( node5(s44)
    | node4(s44)
    | node3(s44)
    | node2(s44)
    | node1(s44)
    | node6(s44,s45)
    | m_main_v_state1(s44,c_c1)
    | ~ node7(s44,s45) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1215,plain,
    ( node15(s45)
    | m_main_v_turn(s46,c_1)
    | ~ node18(s45,s46)
    | ~ m_main_v_state2(s45,c_n2)
    | ~ m_main_v_state1(s45,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1218,plain,
    ( m_main_v_state2(s46,c_t2)
    | ~ node14(s45,s46)
    | ~ m_main_v_state2(s45,c_n2)
    | ~ m_main_v_state1(s45,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1220,plain,
    ( node3(s45)
    | node2(s45)
    | node1(s45)
    | m_main_v_state1(s46,c_c1)
    | ~ node7(s45,s46)
    | ~ m_main_v_state2(s45,c_n2)
    | ~ m_main_v_state1(s45,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1223,plain,
    ( node12(s46)
    | node11(s46)
    | node10(s46)
    | node9(s46)
    | node8(s46)
    | node13(s46,s47)
    | m_main_v_state2(s46,c_c2)
    | ~ node14(s46,s47) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1240,plain,
    ( node5(s48)
    | node4(s48)
    | node3(s48)
    | node2(s48)
    | node1(s48)
    | node6(s48,s49)
    | m_main_v_state1(s48,c_c1)
    | ~ node7(s48,s49) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1243,plain,
    ( node15(s49)
    | m_main_v_turn(s50,c_1)
    | ~ node18(s49,s50)
    | ~ m_main_v_state2(s49,c_n2)
    | ~ m_main_v_state1(s49,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1246,plain,
    ( m_main_v_state2(s50,c_t2)
    | ~ node14(s49,s50)
    | ~ m_main_v_state2(s49,c_n2)
    | ~ m_main_v_state1(s49,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1248,plain,
    ( node3(s49)
    | node2(s49)
    | node1(s49)
    | m_main_v_state1(s50,c_c1)
    | ~ node7(s49,s50)
    | ~ m_main_v_state2(s49,c_n2)
    | ~ m_main_v_state1(s49,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1249,plain,
    ( node16(s50)
    | node15(s50)
    | node17(s50,s51)
    | ~ node18(s50,s51) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1251,plain,
    ( node12(s50)
    | node11(s50)
    | node10(s50)
    | node9(s50)
    | node8(s50)
    | node13(s50,s51)
    | m_main_v_state2(s50,c_c2)
    | ~ node14(s50,s51) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1268,plain,
    ( node5(s52)
    | node4(s52)
    | node3(s52)
    | node2(s52)
    | node1(s52)
    | node6(s52,s53)
    | m_main_v_state1(s52,c_c1)
    | ~ node7(s52,s53) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1271,plain,
    ( node15(s53)
    | m_main_v_turn(s54,c_1)
    | ~ node18(s53,s54)
    | ~ m_main_v_state2(s53,c_n2)
    | ~ m_main_v_state1(s53,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1274,plain,
    ( m_main_v_state2(s54,c_t2)
    | ~ node14(s53,s54)
    | ~ m_main_v_state2(s53,c_n2)
    | ~ m_main_v_state1(s53,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1276,plain,
    ( node3(s53)
    | node2(s53)
    | node1(s53)
    | m_main_v_state1(s54,c_c1)
    | ~ node7(s53,s54)
    | ~ m_main_v_state2(s53,c_n2)
    | ~ m_main_v_state1(s53,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1277,plain,
    ( node16(s54)
    | node15(s54)
    | node17(s54,s55)
    | ~ node18(s54,s55) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1279,plain,
    ( node12(s54)
    | node11(s54)
    | node10(s54)
    | node9(s54)
    | node8(s54)
    | node13(s54,s55)
    | m_main_v_state2(s54,c_c2)
    | ~ node14(s54,s55) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1296,plain,
    ( node5(s56)
    | node4(s56)
    | node3(s56)
    | node2(s56)
    | node1(s56)
    | node6(s56,s57)
    | m_main_v_state1(s56,c_c1)
    | ~ node7(s56,s57) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1299,plain,
    ( node15(s57)
    | m_main_v_turn(s58,c_1)
    | ~ node18(s57,s58)
    | ~ m_main_v_state2(s57,c_n2)
    | ~ m_main_v_state1(s57,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1302,plain,
    ( m_main_v_state2(s58,c_t2)
    | ~ node14(s57,s58)
    | ~ m_main_v_state2(s57,c_n2)
    | ~ m_main_v_state1(s57,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1304,plain,
    ( node3(s57)
    | node2(s57)
    | node1(s57)
    | m_main_v_state1(s58,c_c1)
    | ~ node7(s57,s58)
    | ~ m_main_v_state2(s57,c_n2)
    | ~ m_main_v_state1(s57,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1305,plain,
    ( node16(s58)
    | node15(s58)
    | node17(s58,s59)
    | ~ node18(s58,s59) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1307,plain,
    ( node12(s58)
    | node11(s58)
    | node10(s58)
    | node9(s58)
    | node8(s58)
    | node13(s58,s59)
    | m_main_v_state2(s58,c_c2)
    | ~ node14(s58,s59) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1324,plain,
    ( node5(s60)
    | node4(s60)
    | node3(s60)
    | node2(s60)
    | node1(s60)
    | node6(s60,s61)
    | m_main_v_state1(s60,c_c1)
    | ~ node7(s60,s61) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1327,plain,
    ( node15(s61)
    | m_main_v_turn(s62,c_1)
    | ~ node18(s61,s62)
    | ~ m_main_v_state2(s61,c_n2)
    | ~ m_main_v_state1(s61,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1330,plain,
    ( m_main_v_state2(s62,c_t2)
    | ~ node14(s61,s62)
    | ~ m_main_v_state2(s61,c_n2)
    | ~ m_main_v_state1(s61,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1332,plain,
    ( node3(s61)
    | node2(s61)
    | node1(s61)
    | m_main_v_state1(s62,c_c1)
    | ~ node7(s61,s62)
    | ~ m_main_v_state2(s61,c_n2)
    | ~ m_main_v_state1(s61,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1333,plain,
    ( node16(s62)
    | node15(s62)
    | node17(s62,s63)
    | ~ node18(s62,s63) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1335,plain,
    ( node12(s62)
    | node11(s62)
    | node10(s62)
    | node9(s62)
    | node8(s62)
    | node13(s62,s63)
    | m_main_v_state2(s62,c_c2)
    | ~ node14(s62,s63) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1352,plain,
    ( node5(s64)
    | node4(s64)
    | node3(s64)
    | node2(s64)
    | node1(s64)
    | node6(s64,s65)
    | m_main_v_state1(s64,c_c1)
    | ~ node7(s64,s65) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1355,plain,
    ( node15(s65)
    | m_main_v_turn(s66,c_1)
    | ~ node18(s65,s66)
    | ~ m_main_v_state2(s65,c_n2)
    | ~ m_main_v_state1(s65,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1358,plain,
    ( m_main_v_state2(s66,c_t2)
    | ~ node14(s65,s66)
    | ~ m_main_v_state2(s65,c_n2)
    | ~ m_main_v_state1(s65,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1360,plain,
    ( node3(s65)
    | node2(s65)
    | node1(s65)
    | m_main_v_state1(s66,c_c1)
    | ~ node7(s65,s66)
    | ~ m_main_v_state2(s65,c_n2)
    | ~ m_main_v_state1(s65,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1361,plain,
    ( node16(s66)
    | node15(s66)
    | node17(s66,s67)
    | ~ node18(s66,s67) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1363,plain,
    ( node12(s66)
    | node11(s66)
    | node10(s66)
    | node9(s66)
    | node8(s66)
    | node13(s66,s67)
    | m_main_v_state2(s66,c_c2)
    | ~ node14(s66,s67) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1380,plain,
    ( node5(s68)
    | node4(s68)
    | node3(s68)
    | node2(s68)
    | node1(s68)
    | node6(s68,s69)
    | m_main_v_state1(s68,c_c1)
    | ~ node7(s68,s69) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1383,plain,
    ( node15(s69)
    | m_main_v_turn(s70,c_1)
    | ~ node18(s69,s70)
    | ~ m_main_v_state2(s69,c_n2)
    | ~ m_main_v_state1(s69,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1386,plain,
    ( m_main_v_state2(s70,c_t2)
    | ~ node14(s69,s70)
    | ~ m_main_v_state2(s69,c_n2)
    | ~ m_main_v_state1(s69,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1388,plain,
    ( node3(s69)
    | node2(s69)
    | node1(s69)
    | m_main_v_state1(s70,c_c1)
    | ~ node7(s69,s70)
    | ~ m_main_v_state2(s69,c_n2)
    | ~ m_main_v_state1(s69,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1389,plain,
    ( node16(s70)
    | node15(s70)
    | node17(s70,s71)
    | ~ node18(s70,s71) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1391,plain,
    ( node12(s70)
    | node11(s70)
    | node10(s70)
    | node9(s70)
    | node8(s70)
    | node13(s70,s71)
    | m_main_v_state2(s70,c_c2)
    | ~ node14(s70,s71) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1408,plain,
    ( node5(s72)
    | node4(s72)
    | node3(s72)
    | node2(s72)
    | node1(s72)
    | node6(s72,s73)
    | m_main_v_state1(s72,c_c1)
    | ~ node7(s72,s73) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1411,plain,
    ( node15(s73)
    | m_main_v_turn(s74,c_1)
    | ~ node18(s73,s74)
    | ~ m_main_v_state2(s73,c_n2)
    | ~ m_main_v_state1(s73,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1414,plain,
    ( m_main_v_state2(s74,c_t2)
    | ~ node14(s73,s74)
    | ~ m_main_v_state2(s73,c_n2)
    | ~ m_main_v_state1(s73,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1416,plain,
    ( node3(s73)
    | node2(s73)
    | node1(s73)
    | m_main_v_state1(s74,c_c1)
    | ~ node7(s73,s74)
    | ~ m_main_v_state2(s73,c_n2)
    | ~ m_main_v_state1(s73,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1417,plain,
    ( node16(s74)
    | node15(s74)
    | node17(s74,s75)
    | ~ node18(s74,s75) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1419,plain,
    ( node12(s74)
    | node11(s74)
    | node10(s74)
    | node9(s74)
    | node8(s74)
    | node13(s74,s75)
    | m_main_v_state2(s74,c_c2)
    | ~ node14(s74,s75) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1436,plain,
    ( node5(s76)
    | node4(s76)
    | node3(s76)
    | node2(s76)
    | node1(s76)
    | node6(s76,s77)
    | m_main_v_state1(s76,c_c1)
    | ~ node7(s76,s77) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1439,plain,
    ( node15(s77)
    | m_main_v_turn(s78,c_1)
    | ~ node18(s77,s78)
    | ~ m_main_v_state2(s77,c_n2)
    | ~ m_main_v_state1(s77,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1442,plain,
    ( m_main_v_state2(s78,c_t2)
    | ~ node14(s77,s78)
    | ~ m_main_v_state2(s77,c_n2)
    | ~ m_main_v_state1(s77,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1444,plain,
    ( node3(s77)
    | node2(s77)
    | node1(s77)
    | m_main_v_state1(s78,c_c1)
    | ~ node7(s77,s78)
    | ~ m_main_v_state2(s77,c_n2)
    | ~ m_main_v_state1(s77,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1445,plain,
    ( node16(s78)
    | node15(s78)
    | node17(s78,s79)
    | ~ node18(s78,s79) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1447,plain,
    ( node12(s78)
    | node11(s78)
    | node10(s78)
    | node9(s78)
    | node8(s78)
    | node13(s78,s79)
    | m_main_v_state2(s78,c_c2)
    | ~ node14(s78,s79) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1464,plain,
    ( node5(s80)
    | node4(s80)
    | node3(s80)
    | node2(s80)
    | node1(s80)
    | node6(s80,s81)
    | m_main_v_state1(s80,c_c1)
    | ~ node7(s80,s81) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1467,plain,
    ( node15(s81)
    | m_main_v_turn(s82,c_1)
    | ~ node18(s81,s82)
    | ~ m_main_v_state2(s81,c_n2)
    | ~ m_main_v_state1(s81,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1470,plain,
    ( m_main_v_state2(s82,c_t2)
    | ~ node14(s81,s82)
    | ~ m_main_v_state2(s81,c_n2)
    | ~ m_main_v_state1(s81,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1472,plain,
    ( node3(s81)
    | node2(s81)
    | node1(s81)
    | m_main_v_state1(s82,c_c1)
    | ~ node7(s81,s82)
    | ~ m_main_v_state2(s81,c_n2)
    | ~ m_main_v_state1(s81,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1473,plain,
    ( node16(s82)
    | node15(s82)
    | node17(s82,s83)
    | ~ node18(s82,s83) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1475,plain,
    ( node12(s82)
    | node11(s82)
    | node10(s82)
    | node9(s82)
    | node8(s82)
    | node13(s82,s83)
    | m_main_v_state2(s82,c_c2)
    | ~ node14(s82,s83) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1492,plain,
    ( node5(s84)
    | node4(s84)
    | node3(s84)
    | node2(s84)
    | node1(s84)
    | node6(s84,s85)
    | m_main_v_state1(s84,c_c1)
    | ~ node7(s84,s85) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1495,plain,
    ( node15(s85)
    | m_main_v_turn(s86,c_1)
    | ~ node18(s85,s86)
    | ~ m_main_v_state2(s85,c_n2)
    | ~ m_main_v_state1(s85,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1498,plain,
    ( m_main_v_state2(s86,c_t2)
    | ~ node14(s85,s86)
    | ~ m_main_v_state2(s85,c_n2)
    | ~ m_main_v_state1(s85,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1500,plain,
    ( node3(s85)
    | node2(s85)
    | node1(s85)
    | m_main_v_state1(s86,c_c1)
    | ~ node7(s85,s86)
    | ~ m_main_v_state2(s85,c_n2)
    | ~ m_main_v_state1(s85,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1501,plain,
    ( node16(s86)
    | node15(s86)
    | node17(s86,s87)
    | ~ node18(s86,s87) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1503,plain,
    ( node12(s86)
    | node11(s86)
    | node10(s86)
    | node9(s86)
    | node8(s86)
    | node13(s86,s87)
    | m_main_v_state2(s86,c_c2)
    | ~ node14(s86,s87) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1520,plain,
    ( node5(s88)
    | node4(s88)
    | node3(s88)
    | node2(s88)
    | node1(s88)
    | node6(s88,s89)
    | m_main_v_state1(s88,c_c1)
    | ~ node7(s88,s89) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1523,plain,
    ( node15(s89)
    | m_main_v_turn(s90,c_1)
    | ~ node18(s89,s90)
    | ~ m_main_v_state2(s89,c_n2)
    | ~ m_main_v_state1(s89,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1526,plain,
    ( m_main_v_state2(s90,c_t2)
    | ~ node14(s89,s90)
    | ~ m_main_v_state2(s89,c_n2)
    | ~ m_main_v_state1(s89,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1528,plain,
    ( node3(s89)
    | node2(s89)
    | node1(s89)
    | m_main_v_state1(s90,c_c1)
    | ~ node7(s89,s90)
    | ~ m_main_v_state2(s89,c_n2)
    | ~ m_main_v_state1(s89,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1529,plain,
    ( node16(s90)
    | node15(s90)
    | node17(s90,s91)
    | ~ node18(s90,s91) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1531,plain,
    ( node12(s90)
    | node11(s90)
    | node10(s90)
    | node9(s90)
    | node8(s90)
    | node13(s90,s91)
    | m_main_v_state2(s90,c_c2)
    | ~ node14(s90,s91) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1548,plain,
    ( node5(s92)
    | node4(s92)
    | node3(s92)
    | node2(s92)
    | node1(s92)
    | node6(s92,s93)
    | m_main_v_state1(s92,c_c1)
    | ~ node7(s92,s93) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1551,plain,
    ( node15(s93)
    | m_main_v_turn(s94,c_1)
    | ~ node18(s93,s94)
    | ~ m_main_v_state2(s93,c_n2)
    | ~ m_main_v_state1(s93,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1554,plain,
    ( m_main_v_state2(s94,c_t2)
    | ~ node14(s93,s94)
    | ~ m_main_v_state2(s93,c_n2)
    | ~ m_main_v_state1(s93,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1556,plain,
    ( node3(s93)
    | node2(s93)
    | node1(s93)
    | m_main_v_state1(s94,c_c1)
    | ~ node7(s93,s94)
    | ~ m_main_v_state2(s93,c_n2)
    | ~ m_main_v_state1(s93,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1557,plain,
    ( node16(s94)
    | node15(s94)
    | node17(s94,s95)
    | ~ node18(s94,s95) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1559,plain,
    ( node12(s94)
    | node11(s94)
    | node10(s94)
    | node9(s94)
    | node8(s94)
    | node13(s94,s95)
    | m_main_v_state2(s94,c_c2)
    | ~ node14(s94,s95) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1576,plain,
    ( node5(s96)
    | node4(s96)
    | node3(s96)
    | node2(s96)
    | node1(s96)
    | node6(s96,s97)
    | m_main_v_state1(s96,c_c1)
    | ~ node7(s96,s97) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_1579,plain,
    ( node15(s97)
    | m_main_v_turn(s98,c_1)
    | ~ node18(s97,s98)
    | ~ m_main_v_state2(s97,c_n2)
    | ~ m_main_v_state1(s97,c_t1) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_1582,plain,
    ( m_main_v_state2(s98,c_t2)
    | ~ node14(s97,s98)
    | ~ m_main_v_state2(s97,c_n2)
    | ~ m_main_v_state1(s97,c_t1) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_1584,plain,
    ( node3(s97)
    | node2(s97)
    | node1(s97)
    | m_main_v_state1(s98,c_c1)
    | ~ node7(s97,s98)
    | ~ m_main_v_state2(s97,c_n2)
    | ~ m_main_v_state1(s97,c_t1) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_1585,plain,
    ( node16(s98)
    | node15(s98)
    | node17(s98,s99)
    | ~ node18(s98,s99) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1587,plain,
    ( node12(s98)
    | node11(s98)
    | node10(s98)
    | node9(s98)
    | node8(s98)
    | node13(s98,s99)
    | m_main_v_state2(s98,c_c2)
    | ~ node14(s98,s99) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_1592,plain,
    ( until21(s1)
    | ~ xuntil22(s0)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_895]) ).

tcf(c_1593,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node15(s0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_1599,plain,
    ( ~ m_main_v_state2(s1,c_t2)
    | ~ m_main_v_state2(s1,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_1610,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node1(s0) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_1618,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node10(s1) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1619,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node9(s1) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1620,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node8(s1) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1621,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node4(s1) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1622,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node2(s1) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1631,plain,
    ! [X0: $i] :
      ( node5(s2)
      | node4(s2)
      | node3(s2)
      | node2(s2)
      | node1(s2)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s2,c_c1)
      | ~ node7(s2,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_1633,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1634,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1641,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node10(s2) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1662,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node10(s3) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1663,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node9(s3) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1675,plain,
    ( ~ m_main_v_state1(s4,c_c1)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1687,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node10(s4) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1689,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node8(s4) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1690,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node4(s4) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1705,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node15(s5) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_1719,plain,
    ! [X0: $i] :
      ( node5(s6)
      | node4(s6)
      | node3(s6)
      | node2(s6)
      | node1(s6)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s6,c_c1)
      | ~ node7(s6,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_1721,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1722,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1729,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node10(s6) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1730,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node9(s6) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1731,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node8(s6) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1732,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node4(s6) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1733,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node2(s6) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1750,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node10(s7) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1751,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node9(s7) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1763,plain,
    ( ~ m_main_v_state1(s8,c_c1)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1771,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node10(s8) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1773,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node8(s8) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1774,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node4(s8) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1788,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node15(s9) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_1807,plain,
    ! [X0: $i] :
      ( node5(s10)
      | node4(s10)
      | node3(s10)
      | node2(s10)
      | node1(s10)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s10,c_c1)
      | ~ node7(s10,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_1809,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1810,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1817,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node10(s10) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1818,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node9(s10) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1819,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node8(s10) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1820,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node4(s10) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1821,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node2(s10) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1831,plain,
    ( ~ m_main_v_state1(s11,c_c1)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1839,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node9(s11) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1851,plain,
    ( ~ m_main_v_state1(s12,c_c1)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1861,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node8(s12) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1862,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node4(s12) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1876,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node15(s13) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_1891,plain,
    ! [X0: $i] :
      ( node5(s14)
      | node4(s14)
      | node3(s14)
      | node2(s14)
      | node1(s14)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s14,c_c1)
      | ~ node7(s14,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_1893,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1894,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1909,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node10(s14) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1910,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node9(s14) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1911,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node8(s14) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1912,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node4(s14) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1913,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node2(s14) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1923,plain,
    ( ~ m_main_v_state1(s15,c_c1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1931,plain,
    ( m_main_v_state2(s15,c_n2)
    | ~ node9(s15) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1943,plain,
    ( ~ m_main_v_state1(s16,c_c1)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1953,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node8(s16) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1954,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node4(s16) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1968,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node15(s17) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_1983,plain,
    ! [X0: $i] :
      ( node5(s18)
      | node4(s18)
      | node3(s18)
      | node2(s18)
      | node1(s18)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s18,c_c1)
      | ~ node7(s18,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_1985,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_1986,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_1993,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node10(s18) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_1994,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node9(s18) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_1995,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node8(s18) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_1996,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node4(s18) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_1997,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node2(s18) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2022,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node10(s19) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2023,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node9(s19) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2024,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node8(s19) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2035,plain,
    ( ~ m_main_v_state1(s20,c_c1)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2045,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node8(s20) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2046,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node4(s20) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2061,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node15(s21) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2075,plain,
    ! [X0: $i] :
      ( node5(s22)
      | node4(s22)
      | node3(s22)
      | node2(s22)
      | node1(s22)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s22,c_c1)
      | ~ node7(s22,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2077,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2078,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2085,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node10(s22) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2086,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node9(s22) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2087,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node8(s22) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2088,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node4(s22) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2089,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node2(s22) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2099,plain,
    ( ~ m_main_v_state1(s23,c_c1)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2107,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node9(s23) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2119,plain,
    ( ~ m_main_v_state1(s24,c_c1)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2135,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node10(s24) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2137,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node8(s24) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2138,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node4(s24) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2153,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node15(s25) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2167,plain,
    ! [X0: $i] :
      ( node5(s26)
      | node4(s26)
      | node3(s26)
      | node2(s26)
      | node1(s26)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s26,c_c1)
      | ~ node7(s26,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2169,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2170,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2177,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node10(s26) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2178,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node9(s26) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2179,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node8(s26) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2180,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node4(s26) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2181,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node2(s26) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2198,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node10(s27) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2199,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node9(s27) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2200,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node8(s27) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2211,plain,
    ( ~ m_main_v_state1(s28,c_c1)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2221,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node8(s28) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2222,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node4(s28) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2236,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node15(s29) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_2259,plain,
    ! [X0: $i] :
      ( node5(s30)
      | node4(s30)
      | node3(s30)
      | node2(s30)
      | node1(s30)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s30,c_c1)
      | ~ node7(s30,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2261,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2262,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2269,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node10(s30) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2270,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node9(s30) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2271,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node8(s30) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2272,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node4(s30) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2273,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node2(s30) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2290,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node10(s31) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2291,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node9(s31) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2292,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node8(s31) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2303,plain,
    ( ~ m_main_v_state1(s32,c_c1)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2313,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node8(s32) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2314,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node4(s32) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2328,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node15(s33) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_2343,plain,
    ! [X0: $i] :
      ( node5(s34)
      | node4(s34)
      | node3(s34)
      | node2(s34)
      | node1(s34)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s34,c_c1)
      | ~ node7(s34,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2345,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2346,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2357,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node10(s34) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2358,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node9(s34) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2359,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node8(s34) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2360,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node4(s34) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2361,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node2(s34) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2371,plain,
    ( ~ m_main_v_state1(s35,c_c1)
    | ~ m_main_v_state1(s35,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2379,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node9(s35) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2391,plain,
    ( ~ m_main_v_state1(s36,c_c1)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2401,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node8(s36) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2402,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node4(s36) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2416,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node15(s37) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_2431,plain,
    ! [X0: $i] :
      ( node5(s38)
      | node4(s38)
      | node3(s38)
      | node2(s38)
      | node1(s38)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s38,c_c1)
      | ~ node7(s38,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2433,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2434,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2441,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node10(s38) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2442,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node9(s38) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2443,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node8(s38) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2444,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node4(s38) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2445,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node2(s38) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2455,plain,
    ( ~ m_main_v_state1(s39,c_c1)
    | ~ m_main_v_state1(s39,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2467,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node9(s39) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2479,plain,
    ( ~ m_main_v_state1(s40,c_c1)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2489,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node8(s40) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2490,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node4(s40) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2504,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node15(s41) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_2519,plain,
    ! [X0: $i] :
      ( node5(s42)
      | node4(s42)
      | node3(s42)
      | node2(s42)
      | node1(s42)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s42,c_c1)
      | ~ node7(s42,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2521,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2522,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2529,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node10(s42) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2530,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node9(s42) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2531,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node8(s42) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2532,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node4(s42) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2533,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node2(s42) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2550,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node10(s43) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2551,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node9(s43) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2552,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node8(s43) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2563,plain,
    ( ~ m_main_v_state1(s44,c_c1)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2577,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node8(s44) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2578,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node4(s44) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2593,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node15(s45) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2607,plain,
    ! [X0: $i] :
      ( node5(s46)
      | node4(s46)
      | node3(s46)
      | node2(s46)
      | node1(s46)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s46,c_c1)
      | ~ node7(s46,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2609,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2610,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2617,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node10(s46) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2618,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node9(s46) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2619,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node8(s46) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2620,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node4(s46) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2621,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node2(s46) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2638,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node10(s47) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2639,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node9(s47) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2640,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node8(s47) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2651,plain,
    ( ~ m_main_v_state1(s48,c_c1)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2661,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node8(s48) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2662,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node4(s48) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2676,plain,
    ( m_main_v_state2(s49,c_t2)
    | ~ node15(s49) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_2695,plain,
    ! [X0: $i] :
      ( node5(s50)
      | node4(s50)
      | node3(s50)
      | node2(s50)
      | node1(s50)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s50,c_c1)
      | ~ node7(s50,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2697,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2698,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2702,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node15(s50) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2704,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node16(s50) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_2705,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node10(s50) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2706,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node9(s50) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2707,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node8(s50) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2708,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node4(s50) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2709,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node2(s50) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2719,plain,
    ( ~ m_main_v_state1(s51,c_c1)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2727,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node9(s51) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2739,plain,
    ( ~ m_main_v_state1(s52,c_c1)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2749,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node8(s52) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2750,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node4(s52) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2765,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node15(s53) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2779,plain,
    ! [X0: $i] :
      ( node5(s54)
      | node4(s54)
      | node3(s54)
      | node2(s54)
      | node1(s54)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s54,c_c1)
      | ~ node7(s54,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2781,plain,
    ( ~ m_main_v_state1(s54,c_c1)
    | ~ m_main_v_state1(s54,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2782,plain,
    ( ~ m_main_v_state1(s54,c_c1)
    | ~ m_main_v_state1(s54,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2786,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node15(s54) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2792,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node16(s54) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_2793,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node10(s54) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2794,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node9(s54) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2795,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node8(s54) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2796,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node4(s54) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2797,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node2(s54) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2814,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node10(s55) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2815,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node9(s55) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2816,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node8(s55) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2827,plain,
    ( ~ m_main_v_state1(s56,c_c1)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2837,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node8(s56) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2838,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node4(s56) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2853,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node15(s57) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2867,plain,
    ! [X0: $i] :
      ( node5(s58)
      | node4(s58)
      | node3(s58)
      | node2(s58)
      | node1(s58)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s58,c_c1)
      | ~ node7(s58,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2869,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2870,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2874,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node15(s58) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2876,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node16(s58) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_2877,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node10(s58) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2878,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node9(s58) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2879,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node8(s58) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2880,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node4(s58) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2881,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node2(s58) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2891,plain,
    ( ~ m_main_v_state1(s59,c_c1)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2903,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node9(s59) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2915,plain,
    ( ~ m_main_v_state1(s60,c_c1)
    | ~ m_main_v_state1(s60,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2925,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node8(s60) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2926,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node4(s60) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2940,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node15(s61) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_2955,plain,
    ! [X0: $i] :
      ( node5(s62)
      | node4(s62)
      | node3(s62)
      | node2(s62)
      | node1(s62)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s62,c_c1)
      | ~ node7(s62,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_2957,plain,
    ( ~ m_main_v_state1(s62,c_c1)
    | ~ m_main_v_state1(s62,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2958,plain,
    ( ~ m_main_v_state1(s62,c_c1)
    | ~ m_main_v_state1(s62,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2962,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node15(s62) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2964,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node16(s62) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_2965,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node10(s62) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_2966,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node9(s62) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2967,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node8(s62) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_2968,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node4(s62) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_2969,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node2(s62) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2979,plain,
    ( ~ m_main_v_state1(s63,c_c1)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2987,plain,
    ( m_main_v_state2(s63,c_n2)
    | ~ node9(s63) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_2997,plain,
    ( ~ m_main_v_state1(s64,c_c1)
    | ~ m_main_v_state1(s64,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3007,plain,
    ! [X0: $i] :
      ( node5(s66)
      | node4(s66)
      | node3(s66)
      | node2(s66)
      | node1(s66)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s66,c_c1)
      | ~ node7(s66,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3009,plain,
    ( ~ m_main_v_state1(s66,c_c1)
    | ~ m_main_v_state1(s66,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3010,plain,
    ( ~ m_main_v_state1(s66,c_c1)
    | ~ m_main_v_state1(s66,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3016,plain,
    ( ~ m_main_v_state1(s67,c_c1)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3021,plain,
    ( ~ m_main_v_state1(s68,c_c1)
    | ~ m_main_v_state1(s68,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3086,plain,
    ( m_main_v_state2(s64,c_n2)
    | ~ node8(s64) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_3088,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node8(s66) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_3090,plain,
    ( m_main_v_state2(s68,c_n2)
    | ~ node8(s68) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_3098,plain,
    ! [X0: $i] :
      ( node5(s70)
      | node4(s70)
      | node3(s70)
      | node2(s70)
      | node1(s70)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s70,c_c1)
      | ~ node7(s70,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3100,plain,
    ( ~ m_main_v_state1(s70,c_c1)
    | ~ m_main_v_state1(s70,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3101,plain,
    ( ~ m_main_v_state1(s70,c_c1)
    | ~ m_main_v_state1(s70,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3107,plain,
    ( ~ m_main_v_state1(s71,c_c1)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3112,plain,
    ( ~ m_main_v_state1(s72,c_c1)
    | ~ m_main_v_state1(s72,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3122,plain,
    ! [X0: $i] :
      ( node5(s74)
      | node4(s74)
      | node3(s74)
      | node2(s74)
      | node1(s74)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s74,c_c1)
      | ~ node7(s74,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3124,plain,
    ( ~ m_main_v_state1(s74,c_c1)
    | ~ m_main_v_state1(s74,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3125,plain,
    ( ~ m_main_v_state1(s74,c_c1)
    | ~ m_main_v_state1(s74,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3131,plain,
    ( ~ m_main_v_state1(s75,c_c1)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3136,plain,
    ( ~ m_main_v_state1(s76,c_c1)
    | ~ m_main_v_state1(s76,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3146,plain,
    ! [X0: $i] :
      ( node5(s78)
      | node4(s78)
      | node3(s78)
      | node2(s78)
      | node1(s78)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s78,c_c1)
      | ~ node7(s78,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3148,plain,
    ( ~ m_main_v_state1(s78,c_c1)
    | ~ m_main_v_state1(s78,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3149,plain,
    ( ~ m_main_v_state1(s78,c_c1)
    | ~ m_main_v_state1(s78,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3152,plain,
    ( ~ m_main_v_state2(s0,c_t2)
    | ~ m_main_v_state2(s0,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_3161,plain,
    ( ~ m_main_v_state1(s80,c_c1)
    | ~ m_main_v_state1(s80,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3171,plain,
    ! [X0: $i] :
      ( node5(s82)
      | node4(s82)
      | node3(s82)
      | node2(s82)
      | node1(s82)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s82,c_c1)
      | ~ node7(s82,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3173,plain,
    ( ~ m_main_v_state1(s82,c_c1)
    | ~ m_main_v_state1(s82,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3174,plain,
    ( ~ m_main_v_state1(s82,c_c1)
    | ~ m_main_v_state1(s82,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3180,plain,
    ( ~ m_main_v_state1(s83,c_c1)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3191,plain,
    ( ~ m_main_v_state1(s84,c_c1)
    | ~ m_main_v_state1(s84,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3195,plain,
    ( xuntil22(s1)
    | node20(s1)
    | ~ until21(s1) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_3202,plain,
    ! [X0: $i] :
      ( node5(s86)
      | node4(s86)
      | node3(s86)
      | node2(s86)
      | node1(s86)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s86,c_c1)
      | ~ node7(s86,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3204,plain,
    ( ~ m_main_v_state1(s86,c_c1)
    | ~ m_main_v_state1(s86,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3205,plain,
    ( ~ m_main_v_state1(s86,c_c1)
    | ~ m_main_v_state1(s86,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3317,plain,
    ( ~ m_main_v_state1(s88,c_c1)
    | ~ m_main_v_state1(s88,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3327,plain,
    ! [X0: $i] :
      ( node5(s90)
      | node4(s90)
      | node3(s90)
      | node2(s90)
      | node1(s90)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s90,c_c1)
      | ~ node7(s90,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3329,plain,
    ( ~ m_main_v_state1(s90,c_c1)
    | ~ m_main_v_state1(s90,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3330,plain,
    ( ~ m_main_v_state1(s90,c_c1)
    | ~ m_main_v_state1(s90,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3336,plain,
    ( ~ m_main_v_state1(s91,c_c1)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3341,plain,
    ( ~ m_main_v_state1(s92,c_c1)
    | ~ m_main_v_state1(s92,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3353,plain,
    ! [X0: $i] :
      ( node5(s94)
      | node4(s94)
      | node3(s94)
      | node2(s94)
      | node1(s94)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s94,c_c1)
      | ~ node7(s94,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3355,plain,
    ( ~ m_main_v_state1(s94,c_c1)
    | ~ m_main_v_state1(s94,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3356,plain,
    ( ~ m_main_v_state1(s94,c_c1)
    | ~ m_main_v_state1(s94,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3367,plain,
    ( ~ m_main_v_state1(s96,c_c1)
    | ~ m_main_v_state1(s96,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3385,plain,
    ! [X0: $i] :
      ( node5(s98)
      | node4(s98)
      | node3(s98)
      | node2(s98)
      | node1(s98)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s98,c_c1)
      | ~ node7(s98,X0) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_3387,plain,
    ( ~ m_main_v_state1(s98,c_c1)
    | ~ m_main_v_state1(s98,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3388,plain,
    ( ~ m_main_v_state1(s98,c_c1)
    | ~ m_main_v_state1(s98,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3390,plain,
    ( node5(s98)
    | node4(s98)
    | node3(s98)
    | node2(s98)
    | node1(s98)
    | m_main_v_state1(s99,c_n1)
    | ~ node7(s98,s99)
    | ~ m_main_v_state1(s98,c_c1) ),
    inference(instantiation,[status(thm)],[c_3385]) ).

tcf(c_3391,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s1,X0)
      | ~ node17(s0,s1)
      | ~ m_main_v_turn(s0,X0) ),
    inference(instantiation,[status(thm)],[c_390]) ).

tcf(c_3424,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node12(s2) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_3425,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node8(s2) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_3426,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node5(s2) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_3427,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node4(s2) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_3428,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node20(s2) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3431,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s2,c_t1)
      | ~ node7(X0,s2)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3432,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node7(s99,s2)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3431]) ).

tcf(c_3448,plain,
    ( m_main_v_state1(s3,c_t1)
    | ~ node8(s3) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_3451,plain,
    ( m_main_v_state1(s3,c_t1)
    | ~ node20(s3) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3454,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s3,c_t1)
      | ~ node7(X0,s3)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3455,plain,
    ( m_main_v_state1(s3,c_t1)
    | ~ node7(s99,s3)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3454]) ).

tcf(c_3477,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s4,c_t1)
      | ~ node7(X0,s4)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3526,plain,
    ( m_main_v_state1(s6,c_t1)
    | ~ node5(s6) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_3528,plain,
    ( m_main_v_state1(s6,c_t1)
    | ~ node20(s6) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3531,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s6,c_t1)
      | ~ node7(X0,s6)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3532,plain,
    ( m_main_v_state1(s6,c_t1)
    | ~ node7(s99,s6)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3531]) ).

tcf(c_3548,plain,
    ( m_main_v_state1(s7,c_t1)
    | ~ node8(s7) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_3551,plain,
    ( m_main_v_state1(s7,c_t1)
    | ~ node20(s7) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3554,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s7,c_t1)
      | ~ node7(X0,s7)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3555,plain,
    ( m_main_v_state1(s7,c_t1)
    | ~ node7(s99,s7)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3554]) ).

tcf(c_3577,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s8,c_t1)
      | ~ node7(X0,s8)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3618,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node5(s10) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_3620,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node20(s10) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3623,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s10,c_t1)
      | ~ node7(X0,s10)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3624,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node7(s99,s10)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3623]) ).

tcf(c_3648,plain,
    ( m_main_v_state1(s11,c_t1)
    | ~ node8(s11) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_3651,plain,
    ( m_main_v_state1(s11,c_t1)
    | ~ node20(s11) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3654,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s11,c_t1)
      | ~ node7(X0,s11)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3655,plain,
    ( m_main_v_state1(s11,c_t1)
    | ~ node7(s99,s11)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3654]) ).

tcf(c_3677,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s12,c_t1)
      | ~ node7(X0,s12)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3718,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node5(s14) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_3720,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node20(s14) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3723,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s14,c_t1)
      | ~ node7(X0,s14)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3724,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node7(s99,s14)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3723]) ).

tcf(c_3740,plain,
    ( m_main_v_state1(s15,c_t1)
    | ~ node8(s15) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_3743,plain,
    ( m_main_v_state1(s15,c_t1)
    | ~ node20(s15) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3746,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s15,c_t1)
      | ~ node7(X0,s15)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3747,plain,
    ( m_main_v_state1(s15,c_t1)
    | ~ node7(s99,s15)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3746]) ).

tcf(c_3769,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s16,c_t1)
      | ~ node7(X0,s16)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3818,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node5(s18) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_3820,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node20(s18) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3823,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s18,c_t1)
      | ~ node7(X0,s18)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3824,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node7(s99,s18)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3823]) ).

tcf(c_3843,plain,
    ( m_main_v_state1(s19,c_t1)
    | ~ node20(s19) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3846,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s19,c_t1)
      | ~ node7(X0,s19)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3847,plain,
    ( m_main_v_state1(s19,c_t1)
    | ~ node7(s99,s19)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3846]) ).

tcf(c_3869,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s20,c_t1)
      | ~ node7(X0,s20)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3910,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node5(s22) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_3912,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node20(s22) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3915,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s22,c_t1)
      | ~ node7(X0,s22)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3916,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node7(s99,s22)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3915]) ).

tcf(c_3932,plain,
    ( m_main_v_state1(s23,c_t1)
    | ~ node8(s23) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_3935,plain,
    ( m_main_v_state1(s23,c_t1)
    | ~ node20(s23) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3938,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s23,c_t1)
      | ~ node7(X0,s23)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_3939,plain,
    ( m_main_v_state1(s23,c_t1)
    | ~ node7(s99,s23)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_3938]) ).

tcf(c_3969,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s24,c_t1)
      | ~ node7(X0,s24)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4010,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node5(s26) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_4012,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node20(s26) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4015,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s26,c_t1)
      | ~ node7(X0,s26)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4016,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node7(s99,s26)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4015]) ).

tcf(c_4035,plain,
    ( m_main_v_state1(s27,c_t1)
    | ~ node20(s27) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4038,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s27,c_t1)
      | ~ node7(X0,s27)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4039,plain,
    ( m_main_v_state1(s27,c_t1)
    | ~ node7(s99,s27)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4038]) ).

tcf(c_4061,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s28,c_t1)
      | ~ node7(X0,s28)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4110,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node5(s30) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_4112,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node20(s30) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4115,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s30,c_t1)
      | ~ node7(X0,s30)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4116,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node7(s99,s30)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4115]) ).

tcf(c_4135,plain,
    ( m_main_v_state1(s31,c_t1)
    | ~ node20(s31) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4138,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s31,c_t1)
      | ~ node7(X0,s31)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4139,plain,
    ( m_main_v_state1(s31,c_t1)
    | ~ node7(s99,s31)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4138]) ).

tcf(c_4161,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s32,c_t1)
      | ~ node7(X0,s32)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4202,plain,
    ( m_main_v_state1(s34,c_t1)
    | ~ node5(s34) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_4204,plain,
    ( m_main_v_state1(s34,c_t1)
    | ~ node20(s34) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4207,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s34,c_t1)
      | ~ node7(X0,s34)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4208,plain,
    ( m_main_v_state1(s34,c_t1)
    | ~ node7(s99,s34)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4207]) ).

tcf(c_4224,plain,
    ( m_main_v_state1(s35,c_t1)
    | ~ node8(s35) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_4227,plain,
    ( m_main_v_state1(s35,c_t1)
    | ~ node20(s35) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4230,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s35,c_t1)
      | ~ node7(X0,s35)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4231,plain,
    ( m_main_v_state1(s35,c_t1)
    | ~ node7(s99,s35)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4230]) ).

tcf(c_4261,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s36,c_t1)
      | ~ node7(X0,s36)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4302,plain,
    ( m_main_v_state1(s38,c_t1)
    | ~ node5(s38) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_4304,plain,
    ( m_main_v_state1(s38,c_t1)
    | ~ node20(s38) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4307,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s38,c_t1)
      | ~ node7(X0,s38)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4308,plain,
    ( m_main_v_state1(s38,c_t1)
    | ~ node7(s99,s38)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4307]) ).

tcf(c_4324,plain,
    ( m_main_v_state1(s39,c_t1)
    | ~ node8(s39) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_4327,plain,
    ( m_main_v_state1(s39,c_t1)
    | ~ node20(s39) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4330,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s39,c_t1)
      | ~ node7(X0,s39)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4331,plain,
    ( m_main_v_state1(s39,c_t1)
    | ~ node7(s99,s39)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4330]) ).

tcf(c_4353,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s40,c_t1)
      | ~ node7(X0,s40)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4394,plain,
    ( m_main_v_state1(s42,c_t1)
    | ~ node5(s42) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_4396,plain,
    ( m_main_v_state1(s42,c_t1)
    | ~ node20(s42) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4399,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s42,c_t1)
      | ~ node7(X0,s42)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4400,plain,
    ( m_main_v_state1(s42,c_t1)
    | ~ node7(s99,s42)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4399]) ).

tcf(c_4427,plain,
    ( m_main_v_state1(s43,c_t1)
    | ~ node20(s43) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4430,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s43,c_t1)
      | ~ node7(X0,s43)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4431,plain,
    ( m_main_v_state1(s43,c_t1)
    | ~ node7(s99,s43)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4430]) ).

tcf(c_4453,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s44,c_t1)
      | ~ node7(X0,s44)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4494,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node5(s46) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_4496,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node20(s46) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4499,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s46,c_t1)
      | ~ node7(X0,s46)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4500,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node7(s99,s46)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4499]) ).

tcf(c_4519,plain,
    ( m_main_v_state1(s47,c_t1)
    | ~ node20(s47) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_4522,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s47,c_t1)
      | ~ node7(X0,s47)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4523,plain,
    ( m_main_v_state1(s47,c_t1)
    | ~ node7(s99,s47)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_4522]) ).

tcf(c_4529,plain,
    ( m_main_v_state1(s51,c_t1)
    | ~ node8(s51) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_4537,plain,
    ( m_main_v_state1(s59,c_t1)
    | ~ node8(s59) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_4544,plain,
    ( m_main_v_state1(s67,c_t1)
    | ~ node8(s67) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_4670,plain,
    ( m_main_v_state1(s48,c_t1)
    | ~ node7(s47,s48)
    | ~ m_main_v_state2(s47,c_t2)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4674,plain,
    ( m_main_v_state1(s52,c_t1)
    | ~ node7(s51,s52)
    | ~ m_main_v_state2(s51,c_t2)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4678,plain,
    ( m_main_v_state1(s56,c_t1)
    | ~ node7(s55,s56)
    | ~ m_main_v_state2(s55,c_t2)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4682,plain,
    ( m_main_v_state1(s60,c_t1)
    | ~ node7(s59,s60)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4686,plain,
    ( m_main_v_state1(s64,c_t1)
    | ~ node7(s63,s64)
    | ~ m_main_v_state2(s63,c_t2)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4690,plain,
    ( m_main_v_state1(s68,c_t1)
    | ~ node7(s67,s68)
    | ~ m_main_v_state2(s67,c_t2)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4694,plain,
    ( m_main_v_state1(s72,c_t1)
    | ~ node7(s71,s72)
    | ~ m_main_v_state2(s71,c_t2)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4698,plain,
    ( m_main_v_state1(s76,c_t1)
    | ~ node7(s75,s76)
    | ~ m_main_v_state2(s75,c_t2)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4702,plain,
    ( m_main_v_state1(s80,c_t1)
    | ~ node7(s79,s80)
    | ~ m_main_v_state2(s79,c_t2)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4706,plain,
    ( m_main_v_state1(s84,c_t1)
    | ~ node7(s83,s84)
    | ~ m_main_v_state2(s83,c_t2)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4710,plain,
    ( m_main_v_state1(s88,c_t1)
    | ~ node7(s87,s88)
    | ~ m_main_v_state2(s87,c_t2)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4714,plain,
    ( m_main_v_state1(s92,c_t1)
    | ~ node7(s91,s92)
    | ~ m_main_v_state2(s91,c_t2)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4718,plain,
    ( m_main_v_state1(s96,c_t1)
    | ~ node7(s95,s96)
    | ~ m_main_v_state2(s95,c_t2)
    | ~ m_main_v_state1(s95,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_4728,plain,
    ! [X0: $i] :
      ( node1(s0)
      | m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s0,c_n2)
      | ~ m_main_v_state1(s0,c_n1)
      | ~ node7(s0,X0) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_4743,plain,
    ( node10(s3)
    | node9(s3)
    | node8(s3)
    | m_main_v_state2(s4,c_c2)
    | ~ node14(s3,s4)
    | ~ m_main_v_state2(s3,c_t2)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4747,plain,
    ( node10(s7)
    | node9(s7)
    | node8(s7)
    | m_main_v_state2(s8,c_c2)
    | ~ node14(s7,s8)
    | ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4751,plain,
    ( node10(s11)
    | node9(s11)
    | node8(s11)
    | m_main_v_state2(s12,c_c2)
    | ~ node14(s11,s12)
    | ~ m_main_v_state2(s11,c_t2)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4755,plain,
    ( node10(s15)
    | node9(s15)
    | node8(s15)
    | m_main_v_state2(s16,c_c2)
    | ~ node14(s15,s16)
    | ~ m_main_v_state2(s15,c_t2)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4759,plain,
    ( node10(s19)
    | node9(s19)
    | node8(s19)
    | m_main_v_state2(s20,c_c2)
    | ~ node14(s19,s20)
    | ~ m_main_v_state2(s19,c_t2)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4763,plain,
    ( node10(s23)
    | node9(s23)
    | node8(s23)
    | m_main_v_state2(s24,c_c2)
    | ~ node14(s23,s24)
    | ~ m_main_v_state2(s23,c_t2)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4767,plain,
    ( node10(s27)
    | node9(s27)
    | node8(s27)
    | m_main_v_state2(s28,c_c2)
    | ~ node14(s27,s28)
    | ~ m_main_v_state2(s27,c_t2)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4771,plain,
    ( node10(s31)
    | node9(s31)
    | node8(s31)
    | m_main_v_state2(s32,c_c2)
    | ~ node14(s31,s32)
    | ~ m_main_v_state2(s31,c_t2)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4775,plain,
    ( node10(s35)
    | node9(s35)
    | node8(s35)
    | m_main_v_state2(s36,c_c2)
    | ~ node14(s35,s36)
    | ~ m_main_v_state2(s35,c_t2)
    | ~ m_main_v_state1(s35,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4779,plain,
    ( node10(s39)
    | node9(s39)
    | node8(s39)
    | m_main_v_state2(s40,c_c2)
    | ~ node14(s39,s40)
    | ~ m_main_v_state2(s39,c_t2)
    | ~ m_main_v_state1(s39,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4783,plain,
    ( node10(s43)
    | node9(s43)
    | node8(s43)
    | m_main_v_state2(s44,c_c2)
    | ~ node14(s43,s44)
    | ~ m_main_v_state2(s43,c_t2)
    | ~ m_main_v_state1(s43,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4787,plain,
    ( node10(s47)
    | node9(s47)
    | node8(s47)
    | m_main_v_state2(s48,c_c2)
    | ~ node14(s47,s48)
    | ~ m_main_v_state2(s47,c_t2)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4791,plain,
    ( node10(s51)
    | node9(s51)
    | node8(s51)
    | m_main_v_state2(s52,c_c2)
    | ~ node14(s51,s52)
    | ~ m_main_v_state2(s51,c_t2)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4795,plain,
    ( node10(s55)
    | node9(s55)
    | node8(s55)
    | m_main_v_state2(s56,c_c2)
    | ~ node14(s55,s56)
    | ~ m_main_v_state2(s55,c_t2)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4799,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s60,c_c2)
    | ~ node14(s59,s60)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4803,plain,
    ( node10(s63)
    | node9(s63)
    | node8(s63)
    | m_main_v_state2(s64,c_c2)
    | ~ node14(s63,s64)
    | ~ m_main_v_state2(s63,c_t2)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4807,plain,
    ( node10(s67)
    | node9(s67)
    | node8(s67)
    | m_main_v_state2(s68,c_c2)
    | ~ node14(s67,s68)
    | ~ m_main_v_state2(s67,c_t2)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4811,plain,
    ( node10(s71)
    | node9(s71)
    | node8(s71)
    | m_main_v_state2(s72,c_c2)
    | ~ node14(s71,s72)
    | ~ m_main_v_state2(s71,c_t2)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4815,plain,
    ( node10(s75)
    | node9(s75)
    | node8(s75)
    | m_main_v_state2(s76,c_c2)
    | ~ node14(s75,s76)
    | ~ m_main_v_state2(s75,c_t2)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4819,plain,
    ( node10(s79)
    | node9(s79)
    | node8(s79)
    | m_main_v_state2(s80,c_c2)
    | ~ node14(s79,s80)
    | ~ m_main_v_state2(s79,c_t2)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4823,plain,
    ( node10(s83)
    | node9(s83)
    | node8(s83)
    | m_main_v_state2(s84,c_c2)
    | ~ node14(s83,s84)
    | ~ m_main_v_state2(s83,c_t2)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4827,plain,
    ( node10(s87)
    | node9(s87)
    | node8(s87)
    | m_main_v_state2(s88,c_c2)
    | ~ node14(s87,s88)
    | ~ m_main_v_state2(s87,c_t2)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4831,plain,
    ( node10(s91)
    | node9(s91)
    | node8(s91)
    | m_main_v_state2(s92,c_c2)
    | ~ node14(s91,s92)
    | ~ m_main_v_state2(s91,c_t2)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4835,plain,
    ( node10(s95)
    | node9(s95)
    | node8(s95)
    | m_main_v_state2(s96,c_c2)
    | ~ node14(s95,s96)
    | ~ m_main_v_state2(s95,c_t2)
    | ~ m_main_v_state1(s95,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_4867,plain,
    ( node5(s2)
    | node4(s2)
    | node3(s2)
    | node2(s2)
    | node1(s2)
    | m_main_v_state1(s3,c_n1)
    | ~ node7(s2,s3)
    | ~ m_main_v_state1(s2,c_c1) ),
    inference(instantiation,[status(thm)],[c_1631]) ).

tcf(c_4875,plain,
    ( node5(s6)
    | node4(s6)
    | node3(s6)
    | node2(s6)
    | node1(s6)
    | m_main_v_state1(s7,c_n1)
    | ~ node7(s6,s7)
    | ~ m_main_v_state1(s6,c_c1) ),
    inference(instantiation,[status(thm)],[c_1719]) ).

tcf(c_4883,plain,
    ( node5(s10)
    | node4(s10)
    | node3(s10)
    | node2(s10)
    | node1(s10)
    | m_main_v_state1(s11,c_n1)
    | ~ node7(s10,s11)
    | ~ m_main_v_state1(s10,c_c1) ),
    inference(instantiation,[status(thm)],[c_1807]) ).

tcf(c_4899,plain,
    ( node5(s14)
    | node4(s14)
    | node3(s14)
    | node2(s14)
    | node1(s14)
    | m_main_v_state1(s15,c_n1)
    | ~ node7(s14,s15)
    | ~ m_main_v_state1(s14,c_c1) ),
    inference(instantiation,[status(thm)],[c_1891]) ).

tcf(c_4907,plain,
    ( node5(s18)
    | node4(s18)
    | node3(s18)
    | node2(s18)
    | node1(s18)
    | m_main_v_state1(s19,c_n1)
    | ~ node7(s18,s19)
    | ~ m_main_v_state1(s18,c_c1) ),
    inference(instantiation,[status(thm)],[c_1983]) ).

tcf(c_4915,plain,
    ( node5(s22)
    | node4(s22)
    | node3(s22)
    | node2(s22)
    | node1(s22)
    | m_main_v_state1(s23,c_n1)
    | ~ node7(s22,s23)
    | ~ m_main_v_state1(s22,c_c1) ),
    inference(instantiation,[status(thm)],[c_2075]) ).

tcf(c_4931,plain,
    ( node5(s26)
    | node4(s26)
    | node3(s26)
    | node2(s26)
    | node1(s26)
    | m_main_v_state1(s27,c_n1)
    | ~ node7(s26,s27)
    | ~ m_main_v_state1(s26,c_c1) ),
    inference(instantiation,[status(thm)],[c_2167]) ).

tcf(c_4939,plain,
    ( node5(s30)
    | node4(s30)
    | node3(s30)
    | node2(s30)
    | node1(s30)
    | m_main_v_state1(s31,c_n1)
    | ~ node7(s30,s31)
    | ~ m_main_v_state1(s30,c_c1) ),
    inference(instantiation,[status(thm)],[c_2259]) ).

tcf(c_4947,plain,
    ( node5(s34)
    | node4(s34)
    | node3(s34)
    | node2(s34)
    | node1(s34)
    | m_main_v_state1(s35,c_n1)
    | ~ node7(s34,s35)
    | ~ m_main_v_state1(s34,c_c1) ),
    inference(instantiation,[status(thm)],[c_2343]) ).

tcf(c_4963,plain,
    ( node5(s38)
    | node4(s38)
    | node3(s38)
    | node2(s38)
    | node1(s38)
    | m_main_v_state1(s39,c_n1)
    | ~ node7(s38,s39)
    | ~ m_main_v_state1(s38,c_c1) ),
    inference(instantiation,[status(thm)],[c_2431]) ).

tcf(c_4971,plain,
    ( node5(s42)
    | node4(s42)
    | node3(s42)
    | node2(s42)
    | node1(s42)
    | m_main_v_state1(s43,c_n1)
    | ~ node7(s42,s43)
    | ~ m_main_v_state1(s42,c_c1) ),
    inference(instantiation,[status(thm)],[c_2519]) ).

tcf(c_4979,plain,
    ( node5(s46)
    | node4(s46)
    | node3(s46)
    | node2(s46)
    | node1(s46)
    | m_main_v_state1(s47,c_n1)
    | ~ node7(s46,s47)
    | ~ m_main_v_state1(s46,c_c1) ),
    inference(instantiation,[status(thm)],[c_2607]) ).

tcf(c_4995,plain,
    ( node5(s50)
    | node4(s50)
    | node3(s50)
    | node2(s50)
    | node1(s50)
    | m_main_v_state1(s51,c_n1)
    | ~ node7(s50,s51)
    | ~ m_main_v_state1(s50,c_c1) ),
    inference(instantiation,[status(thm)],[c_2695]) ).

tcf(c_5003,plain,
    ( node5(s54)
    | node4(s54)
    | node3(s54)
    | node2(s54)
    | node1(s54)
    | m_main_v_state1(s55,c_n1)
    | ~ node7(s54,s55)
    | ~ m_main_v_state1(s54,c_c1) ),
    inference(instantiation,[status(thm)],[c_2779]) ).

tcf(c_5007,plain,
    ( always19(s1)
    | ~ node20(s1) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_5008,plain,
    ( ~ m_main_v_state1(s1,c_t1)
    | ~ m_main_v_state1(s1,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5009,plain,
    ( node1(s0)
    | m_main_v_state1(s1,c_t1)
    | ~ node7(s0,s1)
    | ~ m_main_v_state2(s0,c_n2)
    | ~ m_main_v_state1(s0,c_n1) ),
    inference(instantiation,[status(thm)],[c_4728]) ).

tcf(c_5019,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node1(s1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5282,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node15(s65) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5300,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node15(s66) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5321,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node15(s69) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_5336,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node15(s70) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5349,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node15(s73) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5394,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node15(s74) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5424,plain,
    ( m_main_v_state2(s77,c_t2)
    | ~ node15(s77) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_5458,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node15(s78) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5522,plain,
    ( ~ m_main_v_state2(s5,c_c2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_5535,plain,
    ( m_main_v_state2(s81,c_t2)
    | ~ node15(s81) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_5563,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node15(s82) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5593,plain,
    ( m_main_v_state2(s85,c_t2)
    | ~ node15(s85) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_5621,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node15(s86) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5687,plain,
    ( m_main_v_turn(s1,c_2)
    | ~ node12(s1) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5689,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s1,c_2)
      | ~ node18(X0,s1)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_5690,plain,
    ( m_main_v_turn(s1,c_2)
    | ~ node18(s99,s1)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_5689]) ).

tcf(c_5693,plain,
    ( m_main_v_state2(s89,c_t2)
    | ~ node15(s89) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_5705,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node3(s5) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_5711,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node15(s90) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5716,plain,
    ( ~ m_main_v_state1(s9,c_t1)
    | ~ m_main_v_state1(s9,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5718,plain,
    ( ~ m_main_v_turn(s10,c_2)
    | ~ m_main_v_turn(s10,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5723,plain,
    ( ~ m_main_v_state1(s11,c_t1)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5725,plain,
    ( ~ m_main_v_turn(s12,c_2)
    | ~ m_main_v_turn(s12,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5730,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node15(s93) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5734,plain,
    ( ~ m_main_v_state1(s13,c_t1)
    | ~ m_main_v_state1(s13,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5736,plain,
    ( ~ m_main_v_turn(s14,c_2)
    | ~ m_main_v_turn(s14,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5741,plain,
    ( ~ m_main_v_state1(s15,c_t1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5743,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node15(s94) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5747,plain,
    ( ~ m_main_v_turn(s16,c_2)
    | ~ m_main_v_turn(s16,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5752,plain,
    ( ~ m_main_v_state1(s17,c_t1)
    | ~ m_main_v_state1(s17,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5754,plain,
    ( ~ m_main_v_turn(s18,c_2)
    | ~ m_main_v_turn(s18,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5761,plain,
    ( m_main_v_state2(s97,c_t2)
    | ~ node15(s97) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_5763,plain,
    ( ~ m_main_v_state1(s19,c_t1)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5765,plain,
    ( ~ m_main_v_turn(s20,c_2)
    | ~ m_main_v_turn(s20,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5772,plain,
    ( ~ m_main_v_turn(s22,c_2)
    | ~ m_main_v_turn(s22,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5778,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node15(s98) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_5781,plain,
    ( ~ m_main_v_state2(s1,c_c2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5785,plain,
    ( ~ m_main_v_state1(s23,c_t1)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_5787,plain,
    ( ~ m_main_v_turn(s24,c_2)
    | ~ m_main_v_turn(s24,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_5791,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node1(s24) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5793,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node1(s25) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5795,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node1(s26) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5799,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node1(s28) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5800,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node1(s29) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_5803,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node1(s30) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5807,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node1(s32) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5810,plain,
    ( ~ m_main_v_state2(s2,c_c2)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5820,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node1(s33) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_5823,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node1(s34) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5827,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node1(s36) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5828,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node1(s37) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_5831,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node1(s38) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5835,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node1(s40) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5836,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node1(s41) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_5839,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node1(s42) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5843,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node1(s44) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5846,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5847,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_5855,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node1(s45) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5857,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node1(s46) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5861,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node1(s48) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5862,plain,
    ( m_main_v_state2(s49,c_t2)
    | ~ node1(s49) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_5865,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node1(s50) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5869,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node1(s52) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5871,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node1(s53) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5873,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node1(s54) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5882,plain,
    ( ~ m_main_v_state2(s6,c_c2)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5893,plain,
    ( node5(s58)
    | node4(s58)
    | node3(s58)
    | node2(s58)
    | node1(s58)
    | m_main_v_state1(s59,c_n1)
    | ~ node7(s58,s59)
    | ~ m_main_v_state1(s58,c_c1) ),
    inference(instantiation,[status(thm)],[c_2867]) ).

tcf(c_5901,plain,
    ( node5(s62)
    | node4(s62)
    | node3(s62)
    | node2(s62)
    | node1(s62)
    | m_main_v_state1(s63,c_n1)
    | ~ node7(s62,s63)
    | ~ m_main_v_state1(s62,c_c1) ),
    inference(instantiation,[status(thm)],[c_2955]) ).

tcf(c_5908,plain,
    ( node5(s66)
    | node4(s66)
    | node3(s66)
    | node2(s66)
    | node1(s66)
    | m_main_v_state1(s67,c_n1)
    | ~ node7(s66,s67)
    | ~ m_main_v_state1(s66,c_c1) ),
    inference(instantiation,[status(thm)],[c_3007]) ).

tcf(c_5918,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5919,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_5925,plain,
    ( ~ m_main_v_state2(s9,c_c2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_5928,plain,
    ( node5(s70)
    | node4(s70)
    | node3(s70)
    | node2(s70)
    | node1(s70)
    | m_main_v_state1(s71,c_n1)
    | ~ node7(s70,s71)
    | ~ m_main_v_state1(s70,c_c1) ),
    inference(instantiation,[status(thm)],[c_3098]) ).

tcf(c_5932,plain,
    ( node5(s74)
    | node4(s74)
    | node3(s74)
    | node2(s74)
    | node1(s74)
    | m_main_v_state1(s75,c_n1)
    | ~ node7(s74,s75)
    | ~ m_main_v_state1(s74,c_c1) ),
    inference(instantiation,[status(thm)],[c_3122]) ).

tcf(c_5936,plain,
    ( node5(s78)
    | node4(s78)
    | node3(s78)
    | node2(s78)
    | node1(s78)
    | m_main_v_state1(s79,c_n1)
    | ~ node7(s78,s79)
    | ~ m_main_v_state1(s78,c_c1) ),
    inference(instantiation,[status(thm)],[c_3146]) ).

tcf(c_5940,plain,
    ( node5(s82)
    | node4(s82)
    | node3(s82)
    | node2(s82)
    | node1(s82)
    | m_main_v_state1(s83,c_n1)
    | ~ node7(s82,s83)
    | ~ m_main_v_state1(s82,c_c1) ),
    inference(instantiation,[status(thm)],[c_3171]) ).

tcf(c_5943,plain,
    ( ~ m_main_v_state2(s10,c_c2)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5963,plain,
    ( node5(s86)
    | node4(s86)
    | node3(s86)
    | node2(s86)
    | node1(s86)
    | m_main_v_state1(s87,c_n1)
    | ~ node7(s86,s87)
    | ~ m_main_v_state1(s86,c_c1) ),
    inference(instantiation,[status(thm)],[c_3202]) ).

tcf(c_5967,plain,
    ( node5(s90)
    | node4(s90)
    | node3(s90)
    | node2(s90)
    | node1(s90)
    | m_main_v_state1(s91,c_n1)
    | ~ node7(s90,s91)
    | ~ m_main_v_state1(s90,c_c1) ),
    inference(instantiation,[status(thm)],[c_3327]) ).

tcf(c_5973,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_5974,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_5980,plain,
    ( ~ m_main_v_state2(s13,c_c2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_5983,plain,
    ( node5(s94)
    | node4(s94)
    | node3(s94)
    | node2(s94)
    | node1(s94)
    | m_main_v_state1(s95,c_n1)
    | ~ node7(s94,s95)
    | ~ m_main_v_state1(s94,c_c1) ),
    inference(instantiation,[status(thm)],[c_3353]) ).

tcf(c_6077,plain,
    ( m_main_v_turn(s1,c_1)
    | ~ node17(s0,s1)
    | ~ m_main_v_turn(s0,c_1) ),
    inference(instantiation,[status(thm)],[c_3391]) ).

tcf(c_6088,plain,
    ( m_main_v_state1(s4,c_t1)
    | ~ node7(s3,s4)
    | ~ m_main_v_state2(s3,c_t2)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_3477]) ).

tcf(c_6092,plain,
    ( m_main_v_state1(s8,c_t1)
    | ~ node7(s7,s8)
    | ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_3577]) ).

tcf(c_6096,plain,
    ( m_main_v_state1(s12,c_t1)
    | ~ node7(s11,s12)
    | ~ m_main_v_state2(s11,c_t2)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_3677]) ).

tcf(c_6100,plain,
    ( ~ m_main_v_state2(s14,c_c2)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6112,plain,
    ( m_main_v_state1(s16,c_t1)
    | ~ node7(s15,s16)
    | ~ m_main_v_state2(s15,c_t2)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_3769]) ).

tcf(c_6116,plain,
    ( m_main_v_state1(s20,c_t1)
    | ~ node7(s19,s20)
    | ~ m_main_v_state2(s19,c_t2)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_3869]) ).

tcf(c_6120,plain,
    ( m_main_v_state1(s24,c_t1)
    | ~ node7(s23,s24)
    | ~ m_main_v_state2(s23,c_t2)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_3969]) ).

tcf(c_6124,plain,
    ( m_main_v_state1(s28,c_t1)
    | ~ node7(s27,s28)
    | ~ m_main_v_state2(s27,c_t2)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_4061]) ).

tcf(c_6128,plain,
    ( m_main_v_state1(s32,c_t1)
    | ~ node7(s31,s32)
    | ~ m_main_v_state2(s31,c_t2)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_4161]) ).

tcf(c_6132,plain,
    ( m_main_v_state1(s36,c_t1)
    | ~ node7(s35,s36)
    | ~ m_main_v_state2(s35,c_t2)
    | ~ m_main_v_state1(s35,c_n1) ),
    inference(instantiation,[status(thm)],[c_4261]) ).

tcf(c_6137,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6138,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6144,plain,
    ( ~ m_main_v_state2(s17,c_c2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6148,plain,
    ( m_main_v_state1(s40,c_t1)
    | ~ node7(s39,s40)
    | ~ m_main_v_state2(s39,c_t2)
    | ~ m_main_v_state1(s39,c_n1) ),
    inference(instantiation,[status(thm)],[c_4353]) ).

tcf(c_6152,plain,
    ( m_main_v_state1(s44,c_t1)
    | ~ node7(s43,s44)
    | ~ m_main_v_state2(s43,c_t2)
    | ~ m_main_v_state1(s43,c_n1) ),
    inference(instantiation,[status(thm)],[c_4453]) ).

tcf(c_6174,plain,
    ( ~ m_main_v_state2(s18,c_c2)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6211,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6212,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6218,plain,
    ( ~ m_main_v_state2(s21,c_c2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6248,plain,
    ( ~ m_main_v_state2(s22,c_c2)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6285,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6286,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6292,plain,
    ( ~ m_main_v_state2(s25,c_c2)
    | ~ m_main_v_state2(s25,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6300,plain,
    ( ~ m_main_v_state2(s26,c_c2)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6312,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6313,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6319,plain,
    ( ~ m_main_v_state2(s29,c_c2)
    | ~ m_main_v_state2(s29,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6324,plain,
    ( ~ m_main_v_state2(s30,c_c2)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6336,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6337,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6343,plain,
    ( ~ m_main_v_state2(s33,c_c2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6348,plain,
    ( ~ m_main_v_state2(s34,c_c2)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6360,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6361,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6367,plain,
    ( ~ m_main_v_state2(s37,c_c2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6372,plain,
    ( ~ m_main_v_state2(s38,c_c2)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6384,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6385,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6391,plain,
    ( ~ m_main_v_state2(s41,c_c2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6396,plain,
    ( ~ m_main_v_state2(s42,c_c2)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6408,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6409,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6415,plain,
    ( ~ m_main_v_state2(s45,c_c2)
    | ~ m_main_v_state2(s45,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6420,plain,
    ( ~ m_main_v_state2(s46,c_c2)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6432,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6433,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6439,plain,
    ( ~ m_main_v_state2(s49,c_c2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6444,plain,
    ( ~ m_main_v_state2(s50,c_c2)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6456,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6457,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6463,plain,
    ( ~ m_main_v_state2(s53,c_c2)
    | ~ m_main_v_state2(s53,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6468,plain,
    ( ~ m_main_v_state2(s54,c_c2)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6480,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6481,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6487,plain,
    ( ~ m_main_v_state2(s57,c_c2)
    | ~ m_main_v_state2(s57,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6492,plain,
    ( ~ m_main_v_state2(s58,c_c2)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6504,plain,
    ( ~ m_main_v_state2(s60,c_c2)
    | ~ m_main_v_state2(s60,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6505,plain,
    ( ~ m_main_v_state2(s60,c_c2)
    | ~ m_main_v_state2(s60,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6511,plain,
    ( ~ m_main_v_state2(s61,c_c2)
    | ~ m_main_v_state2(s61,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6516,plain,
    ( ~ m_main_v_state2(s62,c_c2)
    | ~ m_main_v_state2(s62,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6528,plain,
    ( ~ m_main_v_state2(s64,c_c2)
    | ~ m_main_v_state2(s64,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6529,plain,
    ( ~ m_main_v_state2(s64,c_c2)
    | ~ m_main_v_state2(s64,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6535,plain,
    ( ~ m_main_v_state2(s65,c_c2)
    | ~ m_main_v_state2(s65,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6540,plain,
    ( ~ m_main_v_state2(s66,c_c2)
    | ~ m_main_v_state2(s66,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6552,plain,
    ( ~ m_main_v_state2(s68,c_c2)
    | ~ m_main_v_state2(s68,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_6553,plain,
    ( ~ m_main_v_state2(s68,c_c2)
    | ~ m_main_v_state2(s68,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6559,plain,
    ( ~ m_main_v_state2(s69,c_c2)
    | ~ m_main_v_state2(s69,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_6563,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node8(s70) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6564,plain,
    ( m_main_v_state1(s71,c_t1)
    | ~ node8(s71) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6567,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node8(s72) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6571,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node8(s74) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6572,plain,
    ( m_main_v_state1(s75,c_t1)
    | ~ node8(s75) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6575,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node8(s76) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6579,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node8(s78) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6581,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node8(s79) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6583,plain,
    ( m_main_v_state2(s80,c_n2)
    | ~ node8(s80) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6587,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node8(s82) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6588,plain,
    ( m_main_v_state1(s83,c_t1)
    | ~ node8(s83) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6591,plain,
    ( m_main_v_state2(s84,c_n2)
    | ~ node8(s84) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6595,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node8(s86) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6597,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node8(s87) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6599,plain,
    ( m_main_v_state2(s88,c_n2)
    | ~ node8(s88) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6603,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node8(s90) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6604,plain,
    ( m_main_v_state1(s91,c_t1)
    | ~ node8(s91) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6607,plain,
    ( m_main_v_state2(s92,c_n2)
    | ~ node8(s92) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6611,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node8(s94) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6613,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node8(s95) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6615,plain,
    ( m_main_v_state2(s96,c_n2)
    | ~ node8(s96) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6619,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node8(s98) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6669,plain,
    ( ~ m_main_v_state2(s2,c_t2)
    | ~ m_main_v_state2(s2,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_6719,plain,
    ( ~ m_main_v_state2(s3,c_t2)
    | ~ m_main_v_state2(s3,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_6780,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node3(s1) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7863,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s0,X0)
      | ~ node17(s0,s1)
      | ~ m_main_v_turn(s1,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_7868,plain,
    ! [X0: $i] :
      ( node4(s1)
      | node3(s1)
      | node2(s1)
      | node1(s1)
      | m_main_v_state1(X0,c_c1)
      | ~ m_main_v_turn(s1,c_1)
      | ~ m_main_v_state2(s1,c_t2)
      | ~ m_main_v_state1(s1,c_t1)
      | ~ node7(s1,X0) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7885,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node11(s1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7907,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node11(s2) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7908,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node9(s2) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_7909,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node3(s2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7910,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node2(s2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7911,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node1(s2) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7929,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node11(s4) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7930,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node9(s4) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_7931,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node3(s4) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7932,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node2(s4) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7933,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node1(s4) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7949,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node1(s5) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_7988,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node11(s6) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7990,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node3(s6) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7992,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node1(s6) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8015,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node11(s8) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8016,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node9(s8) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8017,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node3(s8) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8018,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node2(s8) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8019,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node1(s8) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8022,plain,
    ( m_main_v_turn(s8,c_1)
    | ~ node5(s8) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8040,plain,
    ( m_main_v_state1(s9,c_n1)
    | ~ node3(s9) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8041,plain,
    ( m_main_v_state1(s9,c_n1)
    | ~ node2(s9) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8055,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node11(s10) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8059,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node1(s10) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8099,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node11(s12) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8100,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node9(s12) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8101,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node3(s12) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8102,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node2(s12) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8103,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node1(s12) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8122,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node3(s13) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8123,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node2(s13) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8147,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node11(s14) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8149,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node3(s14) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8151,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node1(s14) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8184,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node11(s16) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8185,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node9(s16) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8186,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node3(s16) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8187,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node2(s16) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8188,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node1(s16) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8203,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node3(s17) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8204,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node2(s17) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8228,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node11(s18) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8232,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node1(s18) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8235,plain,
    ( m_main_v_state2(s18,c_c2)
    | ~ node3(s18) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_8271,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node11(s20) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8272,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node9(s20) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8273,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node3(s20) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8274,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node2(s20) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8275,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node1(s20) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8294,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node3(s21) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8295,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node2(s21) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8296,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node1(s21) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8309,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node11(s22) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8313,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node1(s22) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8350,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node11(s24) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8351,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node9(s24) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8352,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node3(s24) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8353,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node2(s24) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8391,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node11(s26) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8425,plain,
    ( ~ m_main_v_state1(s29,c_t1)
    | ~ m_main_v_state1(s29,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8441,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node2(s29) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8447,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node11(s30) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8476,plain,
    ( ~ m_main_v_state1(s32,c_t1)
    | ~ m_main_v_state1(s32,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8485,plain,
    ( m_main_v_turn(s32,c_1)
    | ~ node5(s32) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8489,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node11(s32) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8490,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node9(s32) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8491,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node3(s32) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8492,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node2(s32) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8501,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node2(s33) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8523,plain,
    ( ~ m_main_v_state1(s35,c_t1)
    | ~ m_main_v_state1(s35,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8528,plain,
    ! [X0: $i] :
      ( node12(s36)
      | node11(s36)
      | node10(s36)
      | node9(s36)
      | node8(s36)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s36,c_c2)
      | ~ node14(s36,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_8545,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node11(s36) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8546,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node9(s36) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8547,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node3(s36) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8548,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node2(s36) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8579,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node11(s38) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8631,plain,
    ( ~ m_main_v_state1(s41,c_t1)
    | ~ m_main_v_state1(s41,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8647,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node2(s41) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8653,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node11(s42) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8680,plain,
    ( ~ m_main_v_state1(s44,c_t1)
    | ~ m_main_v_state1(s44,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8689,plain,
    ( m_main_v_turn(s44,c_1)
    | ~ node5(s44) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8693,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node11(s44) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8694,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node9(s44) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8695,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node3(s44) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8696,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node2(s44) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8704,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node3(s45) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8705,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node2(s45) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8727,plain,
    ( ~ m_main_v_state1(s47,c_t1)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8749,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node11(s48) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8750,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node9(s48) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8751,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node3(s48) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8752,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node2(s48) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8788,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node5(s50) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_8791,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node11(s50) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8840,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node3(s53) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8841,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node2(s53) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8847,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node11(s54) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8872,plain,
    ( ~ m_main_v_state1(s56,c_t1)
    | ~ m_main_v_state1(s56,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8887,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node11(s56) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8888,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node9(s56) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8889,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node3(s56) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8890,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node2(s56) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8891,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node1(s56) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8902,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node3(s57) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8903,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node2(s57) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8904,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node1(s57) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8913,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node11(s58) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8915,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node3(s58) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8917,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node1(s58) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8939,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node11(s60) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8940,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node9(s60) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8941,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node3(s60) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8942,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node2(s60) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8943,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node1(s60) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8955,plain,
    ( m_main_v_state1(s61,c_n1)
    | ~ node2(s61) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8969,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node11(s62) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8971,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node3(s62) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8973,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node1(s62) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_8976,plain,
    ! [X0: $i] :
      ( node12(s64)
      | node11(s64)
      | node10(s64)
      | node9(s64)
      | node8(s64)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s64,c_c2)
      | ~ node14(s64,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_8995,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node11(s64) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8996,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node9(s64) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_8997,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node3(s64) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_8998,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node2(s64) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8999,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node1(s64) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9010,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node3(s65) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9011,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node2(s65) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9012,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node1(s65) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9021,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node11(s66) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9022,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node9(s66) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_9023,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node3(s66) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9024,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node2(s66) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9025,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node1(s66) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9028,plain,
    ! [X0: $i] :
      ( node12(s68)
      | node11(s68)
      | node10(s68)
      | node9(s68)
      | node8(s68)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s68,c_c2)
      | ~ node14(s68,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_9051,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node11(s68) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9052,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node9(s68) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_9053,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node3(s68) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9054,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node2(s68) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9055,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node1(s68) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9059,plain,
    ( ~ m_main_v_state2(s70,c_c2)
    | ~ m_main_v_state2(s70,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_9068,plain,
    ( m_main_v_state1(s69,c_n1)
    | ~ node3(s69) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9069,plain,
    ( m_main_v_state1(s69,c_n1)
    | ~ node2(s69) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9075,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node11(s70) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9079,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node1(s70) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9090,plain,
    ( m_main_v_state2(s71,c_n2)
    | ~ node9(s71) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_9102,plain,
    ( ~ m_main_v_state2(s73,c_c2)
    | ~ m_main_v_state2(s73,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_9108,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node11(s72) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9109,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node9(s72) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_9110,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node3(s72) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9111,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node2(s72) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9112,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node1(s72) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9116,plain,
    ( ~ m_main_v_state2(s74,c_c2)
    | ~ m_main_v_state2(s74,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_9125,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node3(s73) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9126,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node2(s73) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9127,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node1(s73) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9132,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node11(s74) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9134,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node3(s74) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9136,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node1(s74) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9151,plain,
    ( m_main_v_state2(s75,c_n2)
    | ~ node9(s75) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_9163,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node11(s76) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9164,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node9(s76) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_9165,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node3(s76) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9166,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node2(s76) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9167,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node1(s76) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9168,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node4(s76) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_9188,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node1(s78) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9190,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node1(s80) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9198,plain,
    ( m_main_v_turn(s12,c_1)
    | ~ node5(s12) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_9202,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s17,X0)
      | ~ node6(s16,s17)
      | ~ m_main_v_state1(s16,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_9206,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s21,X0)
      | ~ node6(s20,s21)
      | ~ m_main_v_state1(s20,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_9208,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s20,X0)
      | ~ node6(s20,s21)
      | ~ m_main_v_state1(s21,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_9212,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node2(s25) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9214,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s57,X0)
      | ~ node6(s56,s57)
      | ~ m_main_v_state1(s56,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_9216,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s56,X0)
      | ~ node6(s56,s57)
      | ~ m_main_v_state1(s57,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_9219,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node5(s58) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_9236,plain,
    ( m_main_v_state2(s64,c_n2)
    | ~ node4(s64) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_9244,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s69,X0)
      | ~ node6(s68,s69)
      | ~ m_main_v_state1(s68,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_9252,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node4(s72) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_9263,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node1(s82) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9265,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node1(s84) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9267,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node1(s86) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9270,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node1(s88) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9272,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node1(s90) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9274,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node1(s92) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9279,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node1(s93) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9280,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node1(s94) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9282,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node1(s96) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9285,plain,
    ( m_main_v_state2(s98,c_c2)
    | ~ node3(s98) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_9304,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s5,X0)
      | ~ node6(s4,s5)
      | ~ m_main_v_state1(s4,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_9305,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s4,X0)
      | ~ node6(s4,s5)
      | ~ m_main_v_state1(s5,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_9407,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s1)
      | ~ succ(s1,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_9425,plain,
    ( ~ m_main_v_state1(s3,c_t1)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9522,plain,
    ( ~ m_main_v_state1(s24,c_t1)
    | ~ m_main_v_state1(s24,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9594,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s50,X0)
      | ~ node17(s50,s51)
      | ~ m_main_v_turn(s51,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9620,plain,
    ( ~ m_main_v_state1(s60,c_t1)
    | ~ m_main_v_state1(s60,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9623,plain,
    ( m_main_v_state2(s60,c_t2)
    | ~ node12(s60) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_9653,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s54,X0)
      | ~ node17(s54,s55)
      | ~ m_main_v_turn(s55,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9676,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s58,X0)
      | ~ node17(s58,s59)
      | ~ m_main_v_turn(s59,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9719,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s62,X0)
      | ~ node17(s62,s63)
      | ~ m_main_v_turn(s63,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9723,plain,
    ( ~ m_main_v_state1(s28,c_t1)
    | ~ m_main_v_state1(s28,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9724,plain,
    ( ~ m_main_v_state1(s31,c_t1)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9726,plain,
    ( ~ m_main_v_state1(s37,c_t1)
    | ~ m_main_v_state1(s37,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9727,plain,
    ( ~ m_main_v_state1(s40,c_t1)
    | ~ m_main_v_state1(s40,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9728,plain,
    ( ~ m_main_v_state1(s43,c_t1)
    | ~ m_main_v_state1(s43,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9730,plain,
    ( ~ m_main_v_state1(s49,c_t1)
    | ~ m_main_v_state1(s49,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9731,plain,
    ( ~ m_main_v_state1(s52,c_t1)
    | ~ m_main_v_state1(s52,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9732,plain,
    ( ~ m_main_v_state1(s55,c_t1)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9764,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s81,X0)
      | ~ node6(s80,s81)
      | ~ m_main_v_state1(s80,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_9783,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s66,X0)
      | ~ node17(s66,s67)
      | ~ m_main_v_turn(s67,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9784,plain,
    ( m_main_v_turn(s64,c_1)
    | ~ node5(s64) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_9788,plain,
    ( m_main_v_turn(s72,c_1)
    | ~ node5(s72) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_9797,plain,
    ( m_main_v_state2(s81,c_c2)
    | ~ node3(s81) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_9799,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node2(s82) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_9802,plain,
    ( m_main_v_state2(s84,c_n2)
    | ~ node4(s84) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_9837,plain,
    ( ~ m_main_v_state1(s88,c_t1)
    | ~ m_main_v_state1(s88,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9840,plain,
    ( ~ m_main_v_state2(s89,c_c2)
    | ~ m_main_v_state2(s89,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_9846,plain,
    ( m_main_v_state2(s88,c_t2)
    | ~ node12(s88) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_9857,plain,
    ( m_main_v_state2(s89,c_c2)
    | ~ node3(s89) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_9858,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node4(s90) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_9862,plain,
    ( m_main_v_turn(s92,c_1)
    | ~ node5(s92) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_9888,plain,
    ( m_main_v_state2(s96,c_n2)
    | ~ node4(s96) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_9896,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s70,X0)
      | ~ node17(s70,s71)
      | ~ m_main_v_turn(s71,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_9899,plain,
    ( m_main_v_state2(s97,c_c2)
    | ~ node3(s97) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_9901,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node2(s98) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_9907,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s4,c_2)
      | ~ node18(X0,s4)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_9916,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s8,c_2)
      | ~ node18(X0,s8)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_9926,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s12,c_2)
      | ~ node18(X0,s12)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_9936,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s16,c_2)
      | ~ node18(X0,s16)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_9946,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s20,c_2)
      | ~ node18(X0,s20)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_9952,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node12(s22) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_9971,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node11(s28) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9980,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node11(s40) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9993,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node12(s58) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_9995,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s58,c_2)
      | ~ node18(X0,s58)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_9996,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node18(s99,s58)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_9995]) ).

tcf(c_10012,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s63,c_2)
      | ~ node18(X0,s63)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10013,plain,
    ( m_main_v_turn(s63,c_2)
    | ~ node18(s99,s63)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_10012]) ).

tcf(c_10019,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s67,c_2)
      | ~ node18(X0,s67)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10020,plain,
    ( m_main_v_turn(s67,c_2)
    | ~ node18(s99,s67)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_10019]) ).

tcf(c_10023,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s68,c_2)
      | ~ node18(X0,s68)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10028,plain,
    ( m_main_v_state1(s71,c_c1)
    | ~ node10(s71) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_10031,plain,
    ( m_main_v_turn(s74,c_2)
    | ~ node12(s74) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_10033,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s74,c_2)
      | ~ node18(X0,s74)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10034,plain,
    ( m_main_v_turn(s74,c_2)
    | ~ node18(s99,s74)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_10033]) ).

tcf(c_10038,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s76,c_2)
      | ~ node18(X0,s76)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10041,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node11(s78) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10044,plain,
    ( m_main_v_state1(s80,c_c1)
    | ~ node10(s80) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_10077,plain,
    ( m_main_v_turn(s0,c_2)
    | ~ node17(s0,s1)
    | ~ m_main_v_turn(s1,c_2) ),
    inference(instantiation,[status(thm)],[c_7863]) ).

tcf(c_10082,plain,
    ( node4(s1)
    | node3(s1)
    | node2(s1)
    | node1(s1)
    | m_main_v_state1(s2,c_c1)
    | ~ node7(s1,s2)
    | ~ m_main_v_turn(s1,c_1)
    | ~ m_main_v_state2(s1,c_t2)
    | ~ m_main_v_state1(s1,c_t1) ),
    inference(instantiation,[status(thm)],[c_7868]) ).

tcf(c_10098,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s78,X0)
      | ~ node17(s78,s79)
      | ~ m_main_v_turn(s79,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_10143,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s82,X0)
      | ~ node17(s82,s83)
      | ~ m_main_v_turn(s83,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_10176,plain,
    ( m_main_v_state1(s17,c_t1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_9202]) ).

tcf(c_10182,plain,
    ( m_main_v_state1(s21,c_t1)
    | ~ node6(s20,s21)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_9206]) ).

tcf(c_10196,plain,
    ( m_main_v_state1(s57,c_t1)
    | ~ node6(s56,s57)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_9214]) ).

tcf(c_10199,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node6(s56,s57)
    | ~ m_main_v_state1(s57,c_n1) ),
    inference(instantiation,[status(thm)],[c_9216]) ).

tcf(c_10208,plain,
    ( m_main_v_state1(s69,c_t1)
    | ~ node6(s68,s69)
    | ~ m_main_v_state1(s68,c_t1) ),
    inference(instantiation,[status(thm)],[c_9244]) ).

tcf(c_10244,plain,
    ( m_main_v_state1(s5,c_t1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_9304]) ).

tcf(c_10274,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s90,X0)
      | ~ node17(s90,s91)
      | ~ m_main_v_turn(s91,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_10331,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s2,X0)
      | ~ node13(s1,s2)
      | ~ m_main_v_state2(s1,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10335,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s3,X0)
      | ~ node13(s2,s3)
      | ~ m_main_v_state2(s2,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10346,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s94,X0)
      | ~ node17(s94,s95)
      | ~ m_main_v_turn(s95,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_10354,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s7,X0)
      | ~ node13(s6,s7)
      | ~ m_main_v_state2(s6,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10370,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s11,X0)
      | ~ node13(s10,s11)
      | ~ m_main_v_state2(s10,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10386,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s15,X0)
      | ~ node13(s14,s15)
      | ~ m_main_v_state2(s14,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10388,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s14,X0)
      | ~ node13(s14,s15)
      | ~ m_main_v_state2(s15,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_10397,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s19,X0)
      | ~ node13(s18,s19)
      | ~ m_main_v_state2(s18,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10410,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s23,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s22,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10426,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s26,X0)
      | ~ node13(s26,s27)
      | ~ m_main_v_state2(s27,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_10429,plain,
    ! [X0: $i] :
      ( node12(s28)
      | node11(s28)
      | node10(s28)
      | node9(s28)
      | node8(s28)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s28,c_c2)
      | ~ node14(s28,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10458,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s35,X0)
      | ~ node13(s34,s35)
      | ~ m_main_v_state2(s34,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_10501,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s46,X0)
      | ~ node13(s46,s47)
      | ~ m_main_v_state2(s47,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_10534,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s98,X0)
      | ~ node17(s98,s99)
      | ~ m_main_v_turn(s99,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_10561,plain,
    ( ~ m_main_v_state1(s8,c_t1)
    | ~ m_main_v_state1(s8,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10563,plain,
    ( ~ m_main_v_state1(s12,c_t1)
    | ~ m_main_v_state1(s12,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10565,plain,
    ( ~ m_main_v_state1(s16,c_t1)
    | ~ m_main_v_state1(s16,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10567,plain,
    ( ~ m_main_v_state1(s20,c_t1)
    | ~ m_main_v_state1(s20,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10582,plain,
    ( ~ m_main_v_state1(s61,c_t1)
    | ~ m_main_v_state1(s61,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10583,plain,
    ( ~ m_main_v_state1(s63,c_t1)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10584,plain,
    ( ~ m_main_v_state1(s67,c_t1)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10585,plain,
    ( ~ m_main_v_state1(s68,c_t1)
    | ~ m_main_v_state1(s68,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10586,plain,
    ( ~ m_main_v_state1(s71,c_t1)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10588,plain,
    ( ~ m_main_v_state1(s76,c_t1)
    | ~ m_main_v_state1(s76,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10589,plain,
    ( ~ m_main_v_state1(s80,c_t1)
    | ~ m_main_v_state1(s80,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10745,plain,
    ( ~ m_main_v_state1(s75,c_t1)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10749,plain,
    ( m_main_v_state2(s76,c_t2)
    | ~ node12(s76) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_10774,plain,
    ( ~ m_main_v_state1(s83,c_t1)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10776,plain,
    ( ~ m_main_v_state2(s86,c_c2)
    | ~ m_main_v_state2(s86,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10786,plain,
    ( m_main_v_state2(s85,c_t2)
    | ~ node1(s85) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_10794,plain,
    ( ~ m_main_v_state2(s92,c_c2)
    | ~ m_main_v_state2(s92,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10795,plain,
    ( ~ m_main_v_state2(s92,c_c2)
    | ~ m_main_v_state2(s92,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10799,plain,
    ( ~ m_main_v_state1(s92,c_t1)
    | ~ m_main_v_state1(s92,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_10801,plain,
    ( ~ m_main_v_state2(s98,c_c2)
    | ~ m_main_v_state2(s98,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10811,plain,
    ( m_main_v_state2(s97,c_t2)
    | ~ node1(s97) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_10832,plain,
    ( m_main_v_turn(s46,c_2)
    | ~ node12(s46) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_10837,plain,
    ( m_main_v_state1(s75,c_c1)
    | ~ node10(s75) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_10840,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s83,c_2)
      | ~ node18(X0,s83)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10841,plain,
    ( m_main_v_turn(s83,c_2)
    | ~ node18(s99,s83)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_10840]) ).

tcf(c_10844,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s92,c_2)
      | ~ node18(X0,s92)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_10852,plain,
    ( m_main_v_state1(s63,c_t1)
    | ~ node8(s63) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_10854,plain,
    ( m_main_v_state1(s64,c_c1)
    | ~ node10(s64) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_10876,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node9(s70) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_10888,plain,
    ( ~ m_main_v_state2(s76,c_c2)
    | ~ m_main_v_state2(s76,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10889,plain,
    ( ~ m_main_v_state2(s76,c_c2)
    | ~ m_main_v_state2(s76,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10901,plain,
    ( ~ m_main_v_state2(s81,c_c2)
    | ~ m_main_v_state2(s81,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10906,plain,
    ( ~ m_main_v_state2(s82,c_c2)
    | ~ m_main_v_state2(s82,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10915,plain,
    ! [X0: $i] :
      ( node12(s84)
      | node11(s84)
      | node10(s84)
      | node9(s84)
      | node8(s84)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s84,c_c2)
      | ~ node14(s84,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10916,plain,
    ( ~ m_main_v_state2(s84,c_c2)
    | ~ m_main_v_state2(s84,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10917,plain,
    ( ~ m_main_v_state2(s84,c_c2)
    | ~ m_main_v_state2(s84,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10923,plain,
    ( ~ m_main_v_state2(s85,c_c2)
    | ~ m_main_v_state2(s85,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10936,plain,
    ( ~ m_main_v_state2(s88,c_c2)
    | ~ m_main_v_state2(s88,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10937,plain,
    ( ~ m_main_v_state2(s88,c_c2)
    | ~ m_main_v_state2(s88,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10946,plain,
    ( ~ m_main_v_state2(s90,c_c2)
    | ~ m_main_v_state2(s90,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10963,plain,
    ( ~ m_main_v_state2(s93,c_c2)
    | ~ m_main_v_state2(s93,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10968,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node9(s94) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_10972,plain,
    ( ~ m_main_v_state2(s96,c_c2)
    | ~ m_main_v_state2(s96,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_10973,plain,
    ( ~ m_main_v_state2(s96,c_c2)
    | ~ m_main_v_state2(s96,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10979,plain,
    ( ~ m_main_v_state2(s97,c_c2)
    | ~ m_main_v_state2(s97,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_10995,plain,
    ( ~ m_main_v_state2(s5,c_t2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11009,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node12(s8) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11024,plain,
    ( ~ m_main_v_turn(s8,c_2)
    | ~ m_main_v_turn(s8,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_11034,plain,
    ( ~ m_main_v_state2(s9,c_t2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11045,plain,
    ( ~ m_main_v_state2(s13,c_t2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11067,plain,
    ( ~ m_main_v_state2(s17,c_t2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11116,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node12(s32) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11139,plain,
    ( ~ m_main_v_turn(s32,c_2)
    | ~ m_main_v_turn(s32,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_11156,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node12(s36) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11174,plain,
    ( ~ m_main_v_state2(s38,c_t2)
    | ~ m_main_v_state2(s38,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11175,plain,
    ( until21(s2)
    | ~ xuntil22(s1)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_9407]) ).

tcf(c_11212,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node3(s28) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11222,plain,
    ( ~ m_main_v_turn(s50,c_2)
    | ~ m_main_v_turn(s50,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_11253,plain,
    ( ~ m_main_v_state1(s95,c_t1)
    | ~ m_main_v_state1(s95,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11262,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s5,c_n1) ),
    inference(instantiation,[status(thm)],[c_9305]) ).

tcf(c_11266,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s28,c_2)
      | ~ node18(X0,s28)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11275,plain,
    ( ~ m_main_v_state1(s79,c_t1)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11278,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s79,c_2)
      | ~ node18(X0,s79)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11279,plain,
    ( m_main_v_turn(s79,c_2)
    | ~ node18(s99,s79)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_11278]) ).

tcf(c_11289,plain,
    ( ~ m_main_v_state1(s87,c_t1)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11292,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s87,c_2)
      | ~ node18(X0,s87)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11293,plain,
    ( m_main_v_turn(s87,c_2)
    | ~ node18(s99,s87)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_11292]) ).

tcf(c_11294,plain,
    ( ~ m_main_v_state1(s89,c_t1)
    | ~ m_main_v_state1(s89,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11341,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node2(s5) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11343,plain,
    ( m_main_v_turn(s6,c_2)
    | ~ node12(s6) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_11353,plain,
    ( ~ m_main_v_state1(s7,c_t1)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11372,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s32,c_2)
      | ~ node18(X0,s32)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11386,plain,
    ( m_main_v_turn(s38,c_2)
    | ~ node12(s38) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_11419,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node12(s50) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_11421,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s50,c_2)
      | ~ node18(X0,s50)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11422,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node18(s99,s50)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_11421]) ).

tcf(c_11435,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s56,c_2)
      | ~ node18(X0,s56)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11453,plain,
    ( ~ m_main_v_turn(s58,c_2)
    | ~ m_main_v_turn(s58,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_11463,plain,
    ( ~ m_main_v_state2(s63,c_t2)
    | ~ m_main_v_state2(s63,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11466,plain,
    ( m_main_v_turn(s56,c_1)
    | ~ node5(s56) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11473,plain,
    ( ~ m_main_v_state1(s69,c_t1)
    | ~ m_main_v_state1(s69,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11490,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node12(s42) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_11502,plain,
    ( ~ m_main_v_state2(s71,c_t2)
    | ~ m_main_v_state2(s71,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_11511,plain,
    ( ~ m_main_v_state1(s27,c_t1)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11544,plain,
    ( ~ m_main_v_state1(s4,c_t1)
    | ~ m_main_v_state1(s4,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_11550,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node12(s4) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11596,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s75,c_2)
      | ~ node18(X0,s75)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_11597,plain,
    ( m_main_v_turn(s75,c_2)
    | ~ node18(s99,s75)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_11596]) ).

tcf(c_11606,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s63,X0)
      | ~ node13(s62,s63)
      | ~ m_main_v_state2(s62,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_11648,plain,
    ( ~ m_main_v_state2(s72,c_c2)
    | ~ m_main_v_state2(s72,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_11649,plain,
    ( ~ m_main_v_state2(s72,c_c2)
    | ~ m_main_v_state2(s72,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_11662,plain,
    ( m_main_v_state1(s81,c_t1)
    | ~ node6(s80,s81)
    | ~ m_main_v_state1(s80,c_t1) ),
    inference(instantiation,[status(thm)],[c_9764]) ).

tcf(c_11734,plain,
    ( m_main_v_turn(s4,c_2)
    | ~ node18(s3,s4)
    | ~ m_main_v_state2(s3,c_t2)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_9907]) ).

tcf(c_11736,plain,
    ( m_main_v_turn(s8,c_2)
    | ~ node18(s7,s8)
    | ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_9916]) ).

tcf(c_11738,plain,
    ( m_main_v_turn(s12,c_2)
    | ~ node18(s11,s12)
    | ~ m_main_v_state2(s11,c_t2)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_9926]) ).

tcf(c_11740,plain,
    ( m_main_v_turn(s16,c_2)
    | ~ node18(s15,s16)
    | ~ m_main_v_state2(s15,c_t2)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_9936]) ).

tcf(c_11742,plain,
    ( m_main_v_turn(s20,c_2)
    | ~ node18(s19,s20)
    | ~ m_main_v_state2(s19,c_t2)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_9946]) ).

tcf(c_11749,plain,
    ( m_main_v_turn(s68,c_2)
    | ~ node18(s67,s68)
    | ~ m_main_v_state2(s67,c_t2)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_10023]) ).

tcf(c_11751,plain,
    ( m_main_v_turn(s76,c_2)
    | ~ node18(s75,s76)
    | ~ m_main_v_state2(s75,c_t2)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_10038]) ).

tcf(c_11761,plain,
    ( m_main_v_turn(s92,c_2)
    | ~ node18(s91,s92)
    | ~ m_main_v_state2(s91,c_t2)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_10844]) ).

tcf(c_11821,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node9(s40) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11851,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node12(s48) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11909,plain,
    ! [X0: $i] :
      ( node12(s20)
      | node11(s20)
      | node10(s20)
      | node9(s20)
      | node8(s20)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s20,c_c2)
      | ~ node14(s20,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_11915,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node12(s56) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11962,plain,
    ( m_main_v_state2(s64,c_t2)
    | ~ node12(s64) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_11998,plain,
    ( m_main_v_state2(s68,c_t2)
    | ~ node12(s68) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_12013,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node1(s69) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_12034,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s75,X0)
      | ~ node13(s74,s75)
      | ~ m_main_v_state2(s74,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_12056,plain,
    ( ~ m_main_v_state2(s11,c_t2)
    | ~ m_main_v_state2(s11,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12066,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node10(s70) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_12070,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node9(s78) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_12082,plain,
    ( ~ m_main_v_state2(s61,c_t2)
    | ~ m_main_v_state2(s61,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12087,plain,
    ( ~ m_main_v_turn(s64,c_2)
    | ~ m_main_v_turn(s64,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12097,plain,
    ( ~ m_main_v_state2(s82,c_t2)
    | ~ m_main_v_state2(s82,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12109,plain,
    ( ~ m_main_v_state2(s83,c_t2)
    | ~ m_main_v_state2(s83,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12131,plain,
    ( m_main_v_state2(s89,c_t2)
    | ~ node1(s89) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_12152,plain,
    ( ~ m_main_v_turn(s92,c_2)
    | ~ m_main_v_turn(s92,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12165,plain,
    ( ~ m_main_v_state2(s95,c_t2)
    | ~ m_main_v_state2(s95,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12174,plain,
    ( ~ m_main_v_turn(s4,c_2)
    | ~ m_main_v_turn(s4,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12226,plain,
    ( ~ m_main_v_turn(s68,c_2)
    | ~ m_main_v_turn(s68,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12229,plain,
    ( ~ m_main_v_turn(s74,c_2)
    | ~ m_main_v_turn(s74,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12232,plain,
    ( ~ m_main_v_turn(s76,c_2)
    | ~ m_main_v_turn(s76,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12239,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node12(s28) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_12282,plain,
    ( ~ m_main_v_state1(s64,c_t1)
    | ~ m_main_v_state1(s64,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_12285,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s64,c_2)
      | ~ node18(X0,s64)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_12292,plain,
    ( m_main_v_turn(s66,c_2)
    | ~ node12(s66) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_12294,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s66,c_2)
      | ~ node18(X0,s66)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_12295,plain,
    ( m_main_v_turn(s66,c_2)
    | ~ node18(s99,s66)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_12294]) ).

tcf(c_12299,plain,
    ( m_main_v_state1(s66,c_t1)
    | ~ node5(s66) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_12304,plain,
    ( ~ m_main_v_state1(s77,c_t1)
    | ~ m_main_v_state1(s77,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_12309,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node10(s82) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_12322,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node10(s86) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_12333,plain,
    ( m_main_v_state2(s91,c_n2)
    | ~ node9(s91) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_12364,plain,
    ( ~ m_main_v_turn(s46,c_2)
    | ~ m_main_v_turn(s46,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_12387,plain,
    ! [X0: $i] :
      ( node12(s80)
      | node11(s80)
      | node10(s80)
      | node9(s80)
      | node8(s80)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s80,c_c2)
      | ~ node14(s80,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_12388,plain,
    ( ~ m_main_v_state2(s80,c_c2)
    | ~ m_main_v_state2(s80,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_12389,plain,
    ( ~ m_main_v_state2(s80,c_c2)
    | ~ m_main_v_state2(s80,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_12398,plain,
    ( m_main_v_state2(s81,c_t2)
    | ~ node1(s81) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_12421,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s91,X0)
      | ~ node13(s90,s91)
      | ~ m_main_v_state2(s90,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_12423,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s90,X0)
      | ~ node13(s90,s91)
      | ~ m_main_v_state2(s91,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_12433,plain,
    ( ~ m_main_v_state2(s94,c_t2)
    | ~ m_main_v_state2(s94,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12460,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node11(s96) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_12495,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node1(s9) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_12507,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node1(s13) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_12860,plain,
    ( m_main_v_turn(s4,c_1)
    | ~ node5(s4) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_12864,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s24,X0)
      | ~ node6(s24,s25)
      | ~ m_main_v_state1(s25,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_12866,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node3(s25) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_12889,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s65,X0)
      | ~ node6(s64,s65)
      | ~ m_main_v_state1(s64,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_12891,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s64,X0)
      | ~ node6(s64,s65)
      | ~ m_main_v_state1(s65,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_12926,plain,
    ( ~ m_main_v_state2(s77,c_c2)
    | ~ m_main_v_state2(s77,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_12930,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node9(s88) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_12933,plain,
    ( m_main_v_state1(s96,c_c1)
    | ~ node10(s96) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_13025,plain,
    ( xuntil22(s2)
    | node20(s2)
    | ~ until21(s2) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_13027,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s29,X0)
      | ~ node6(s28,s29)
      | ~ m_main_v_state1(s28,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_13035,plain,
    ( ~ m_main_v_state2(s29,c_t2)
    | ~ m_main_v_state2(s29,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13037,plain,
    ( ~ m_main_v_state2(s35,c_t2)
    | ~ m_main_v_state2(s35,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13039,plain,
    ( ~ m_main_v_state2(s62,c_t2)
    | ~ m_main_v_state2(s62,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13042,plain,
    ( ~ m_main_v_state2(s70,c_t2)
    | ~ m_main_v_state2(s70,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13043,plain,
    ( ~ m_main_v_state2(s74,c_t2)
    | ~ m_main_v_state2(s74,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13045,plain,
    ( ~ m_main_v_state2(s78,c_t2)
    | ~ m_main_v_state2(s78,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13046,plain,
    ( ~ m_main_v_state2(s86,c_t2)
    | ~ m_main_v_state2(s86,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13148,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node2(s81) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_13150,plain,
    ( ~ m_main_v_state1(s81,c_t1)
    | ~ m_main_v_state1(s81,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_13160,plain,
    ( m_main_v_state1(s98,c_t1)
    | ~ node5(s98) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_13162,plain,
    ( m_main_v_turn(s98,c_2)
    | ~ node12(s98) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_13164,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s98,c_2)
      | ~ node18(X0,s98)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_13165,plain,
    ( m_main_v_turn(s98,c_2)
    | ~ node18(s99,s98)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_13164]) ).

tcf(c_13287,plain,
    ( ~ m_main_v_state2(s10,c_t2)
    | ~ m_main_v_state2(s10,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13331,plain,
    ( ~ m_main_v_state2(s14,c_t2)
    | ~ m_main_v_state2(s14,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13341,plain,
    ( m_main_v_state1(s85,c_n1)
    | ~ node2(s85) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_13382,plain,
    ( ~ m_main_v_state2(s18,c_t2)
    | ~ m_main_v_state2(s18,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13393,plain,
    ( ~ m_main_v_state2(s22,c_t2)
    | ~ m_main_v_state2(s22,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13431,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node9(s96) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_13449,plain,
    ( ~ m_main_v_state2(s39,c_t2)
    | ~ m_main_v_state2(s39,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13453,plain,
    ( ~ m_main_v_state2(s75,c_t2)
    | ~ m_main_v_state2(s75,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13457,plain,
    ( ~ m_main_v_state2(s90,c_t2)
    | ~ m_main_v_state2(s90,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13461,plain,
    ( ~ m_main_v_state2(s6,c_t2)
    | ~ m_main_v_state2(s6,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13478,plain,
    ( ~ m_main_v_state2(s34,c_t2)
    | ~ m_main_v_state2(s34,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13479,plain,
    ( ~ m_main_v_state2(s37,c_t2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13486,plain,
    ( ~ m_main_v_state2(s49,c_t2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13534,plain,
    ( ~ m_main_v_turn(s48,c_2)
    | ~ m_main_v_turn(s48,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_13553,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s71,X0)
      | ~ node13(s70,s71)
      | ~ m_main_v_state2(s70,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_13586,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node9(s86) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_13630,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s25,c_n1) ),
    inference(instantiation,[status(thm)],[c_12864]) ).

tcf(c_13674,plain,
    ( m_main_v_state1(s65,c_t1)
    | ~ node6(s64,s65)
    | ~ m_main_v_state1(s64,c_t1) ),
    inference(instantiation,[status(thm)],[c_12889]) ).

tcf(c_13677,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node6(s64,s65)
    | ~ m_main_v_state1(s65,c_n1) ),
    inference(instantiation,[status(thm)],[c_12891]) ).

tcf(c_13679,plain,
    ( ~ m_main_v_turn(s26,c_2)
    | ~ m_main_v_turn(s26,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_13680,plain,
    ( ~ m_main_v_state2(s23,c_t2)
    | ~ m_main_v_state2(s23,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13685,plain,
    ( m_main_v_turn(s28,c_2)
    | ~ node18(s27,s28)
    | ~ m_main_v_state2(s27,c_t2)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_11266]) ).

tcf(c_13693,plain,
    ( m_main_v_turn(s32,c_2)
    | ~ node18(s31,s32)
    | ~ m_main_v_state2(s31,c_t2)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_11372]) ).

tcf(c_13701,plain,
    ( m_main_v_turn(s56,c_2)
    | ~ node18(s55,s56)
    | ~ m_main_v_state2(s55,c_t2)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_11435]) ).

tcf(c_13729,plain,
    ( m_main_v_turn(s64,c_2)
    | ~ node18(s63,s64)
    | ~ m_main_v_state2(s63,c_t2)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_12285]) ).

tcf(c_13805,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node10(s94) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_13821,plain,
    ( ~ m_main_v_turn(s87,c_2)
    | ~ m_main_v_turn(s87,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_13830,plain,
    ( ~ m_main_v_turn(s28,c_2)
    | ~ m_main_v_turn(s28,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_13848,plain,
    ( ~ m_main_v_turn(s6,c_2)
    | ~ m_main_v_turn(s6,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_13869,plain,
    ( ~ m_main_v_state2(s41,c_t2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13871,plain,
    ( ~ m_main_v_turn(s56,c_2)
    | ~ m_main_v_turn(s56,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_13929,plain,
    ( ~ m_main_v_state2(s50,c_t2)
    | ~ m_main_v_state2(s50,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13930,plain,
    ( ~ m_main_v_state2(s51,c_t2)
    | ~ m_main_v_state2(s51,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13937,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node9(s52) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_13965,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node10(s78) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_13971,plain,
    ( ~ m_main_v_state2(s66,c_t2)
    | ~ m_main_v_state2(s66,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13974,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s67,X0)
      | ~ node13(s66,s67)
      | ~ m_main_v_state2(s66,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_13989,plain,
    ( ~ m_main_v_state2(s69,c_t2)
    | ~ m_main_v_state2(s69,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_14023,plain,
    ( ~ m_main_v_state2(s89,c_t2)
    | ~ m_main_v_state2(s89,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_14025,plain,
    ( m_main_v_state1(s88,c_c1)
    | ~ node10(s88) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_14038,plain,
    ( ~ m_main_v_turn(s66,c_2)
    | ~ m_main_v_turn(s66,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_14090,plain,
    ( m_main_v_state1(s76,c_c1)
    | ~ node10(s76) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_14110,plain,
    ( ~ m_main_v_state2(s98,c_t2)
    | ~ m_main_v_state2(s98,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_14301,plain,
    ( m_main_v_turn(s10,c_2)
    | ~ node12(s10) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14315,plain,
    ( node12(s36)
    | node11(s36)
    | node10(s36)
    | node9(s36)
    | node8(s36)
    | m_main_v_state2(s37,c_n2)
    | ~ node14(s36,s37)
    | ~ m_main_v_state2(s36,c_c2) ),
    inference(instantiation,[status(thm)],[c_8528]) ).

tcf(c_14348,plain,
    ( m_main_v_turn(s14,c_2)
    | ~ node12(s14) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14395,plain,
    ( m_main_v_turn(s18,c_2)
    | ~ node12(s18) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14436,plain,
    ( node12(s64)
    | node11(s64)
    | node10(s64)
    | node9(s64)
    | node8(s64)
    | m_main_v_state2(s65,c_n2)
    | ~ node14(s64,s65)
    | ~ m_main_v_state2(s64,c_c2) ),
    inference(instantiation,[status(thm)],[c_8976]) ).

tcf(c_14450,plain,
    ( node12(s68)
    | node11(s68)
    | node10(s68)
    | node9(s68)
    | node8(s68)
    | m_main_v_state2(s69,c_n2)
    | ~ node14(s68,s69)
    | ~ m_main_v_state2(s68,c_c2) ),
    inference(instantiation,[status(thm)],[c_9028]) ).

tcf(c_14477,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s24,c_2)
      | ~ node18(X0,s24)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14492,plain,
    ( m_main_v_turn(s26,c_2)
    | ~ node12(s26) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14540,plain,
    ( m_main_v_turn(s30,c_2)
    | ~ node12(s30) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14582,plain,
    ( m_main_v_turn(s34,c_2)
    | ~ node12(s34) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14611,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s36,c_2)
      | ~ node18(X0,s36)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14643,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s40,c_2)
      | ~ node18(X0,s40)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14724,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s48,c_2)
      | ~ node18(X0,s48)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14749,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node17(s50,s51)
    | ~ m_main_v_turn(s51,c_2) ),
    inference(instantiation,[status(thm)],[c_9594]) ).

tcf(c_14758,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s51,c_2)
      | ~ node18(X0,s51)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14759,plain,
    ( m_main_v_turn(s51,c_2)
    | ~ node18(s99,s51)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14758]) ).

tcf(c_14769,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s52,c_2)
      | ~ node18(X0,s52)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14784,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node12(s54) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14791,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s54,c_2)
      | ~ node18(X0,s54)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14792,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node18(s99,s54)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14791]) ).

tcf(c_14793,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node17(s54,s55)
    | ~ m_main_v_turn(s55,c_2) ),
    inference(instantiation,[status(thm)],[c_9653]) ).

tcf(c_14801,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s55,c_2)
      | ~ node18(X0,s55)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14802,plain,
    ( m_main_v_turn(s55,c_2)
    | ~ node18(s99,s55)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14801]) ).

tcf(c_14837,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node17(s58,s59)
    | ~ m_main_v_turn(s59,c_2) ),
    inference(instantiation,[status(thm)],[c_9676]) ).

tcf(c_14845,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s59,c_2)
      | ~ node18(X0,s59)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14846,plain,
    ( m_main_v_turn(s59,c_2)
    | ~ node18(s99,s59)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14845]) ).

tcf(c_14855,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s60,c_2)
      | ~ node18(X0,s60)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14868,plain,
    ( m_main_v_turn(s62,c_2)
    | ~ node12(s62) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14875,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s62,c_2)
      | ~ node18(X0,s62)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14876,plain,
    ( m_main_v_turn(s62,c_2)
    | ~ node18(s99,s62)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14875]) ).

tcf(c_14962,plain,
    ( m_main_v_turn(s70,c_2)
    | ~ node12(s70) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_14969,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s70,c_2)
      | ~ node18(X0,s70)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14970,plain,
    ( m_main_v_turn(s70,c_2)
    | ~ node18(s99,s70)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14969]) ).

tcf(c_14971,plain,
    ( m_main_v_turn(s70,c_2)
    | ~ node17(s70,s71)
    | ~ m_main_v_turn(s71,c_2) ),
    inference(instantiation,[status(thm)],[c_9896]) ).

tcf(c_14979,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s71,c_2)
      | ~ node18(X0,s71)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_14980,plain,
    ( m_main_v_turn(s71,c_2)
    | ~ node18(s99,s71)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_14979]) ).

tcf(c_14989,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s72,c_2)
      | ~ node18(X0,s72)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15052,plain,
    ( m_main_v_turn(s78,c_2)
    | ~ node12(s78) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_15059,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s78,c_2)
      | ~ node18(X0,s78)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15060,plain,
    ( m_main_v_turn(s78,c_2)
    | ~ node18(s99,s78)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15059]) ).

tcf(c_15067,plain,
    ( m_main_v_turn(s78,c_2)
    | ~ node17(s78,s79)
    | ~ m_main_v_turn(s79,c_2) ),
    inference(instantiation,[status(thm)],[c_10098]) ).

tcf(c_15098,plain,
    ( m_main_v_turn(s82,c_2)
    | ~ node12(s82) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_15105,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s82,c_2)
      | ~ node18(X0,s82)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15106,plain,
    ( m_main_v_turn(s82,c_2)
    | ~ node18(s99,s82)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15105]) ).

tcf(c_15112,plain,
    ( m_main_v_turn(s82,c_2)
    | ~ node17(s82,s83)
    | ~ m_main_v_turn(s83,c_2) ),
    inference(instantiation,[status(thm)],[c_10143]) ).

tcf(c_15140,plain,
    ( m_main_v_turn(s86,c_2)
    | ~ node12(s86) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_15147,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s86,c_2)
      | ~ node18(X0,s86)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15148,plain,
    ( m_main_v_turn(s86,c_2)
    | ~ node18(s99,s86)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15147]) ).

tcf(c_15169,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s88,c_2)
      | ~ node18(X0,s88)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15184,plain,
    ( m_main_v_turn(s90,c_2)
    | ~ node12(s90) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_15191,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s90,c_2)
      | ~ node18(X0,s90)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15192,plain,
    ( m_main_v_turn(s90,c_2)
    | ~ node18(s99,s90)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15191]) ).

tcf(c_15193,plain,
    ( m_main_v_turn(s90,c_2)
    | ~ node17(s90,s91)
    | ~ m_main_v_turn(s91,c_2) ),
    inference(instantiation,[status(thm)],[c_10274]) ).

tcf(c_15201,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s91,c_2)
      | ~ node18(X0,s91)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15202,plain,
    ( m_main_v_turn(s91,c_2)
    | ~ node18(s99,s91)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15201]) ).

tcf(c_15221,plain,
    ( m_main_v_state2(s2,c_t2)
    | ~ node13(s1,s2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_10331]) ).

tcf(c_15227,plain,
    ( m_main_v_state2(s3,c_t2)
    | ~ node13(s2,s3)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_10335]) ).

tcf(c_15238,plain,
    ( m_main_v_turn(s94,c_2)
    | ~ node12(s94) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_15245,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s94,c_2)
      | ~ node18(X0,s94)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15246,plain,
    ( m_main_v_turn(s94,c_2)
    | ~ node18(s99,s94)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15245]) ).

tcf(c_15247,plain,
    ( m_main_v_turn(s94,c_2)
    | ~ node17(s94,s95)
    | ~ m_main_v_turn(s95,c_2) ),
    inference(instantiation,[status(thm)],[c_10346]) ).

tcf(c_15253,plain,
    ( m_main_v_state2(s7,c_t2)
    | ~ node13(s6,s7)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_10354]) ).

tcf(c_15265,plain,
    ( m_main_v_state2(s11,c_t2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_10370]) ).

tcf(c_15294,plain,
    ( m_main_v_state2(s15,c_t2)
    | ~ node13(s14,s15)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_10386]) ).

tcf(c_15295,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node13(s14,s15)
    | ~ m_main_v_state2(s15,c_n2) ),
    inference(instantiation,[status(thm)],[c_10388]) ).

tcf(c_15310,plain,
    ( m_main_v_state2(s19,c_t2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_10397]) ).

tcf(c_15328,plain,
    ( m_main_v_state2(s23,c_t2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_10410]) ).

tcf(c_15350,plain,
    ( node12(s28)
    | node11(s28)
    | node10(s28)
    | node9(s28)
    | node8(s28)
    | m_main_v_state2(s29,c_n2)
    | ~ node14(s28,s29)
    | ~ m_main_v_state2(s28,c_c2) ),
    inference(instantiation,[status(thm)],[c_10429]) ).

tcf(c_15355,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s95,c_2)
      | ~ node18(X0,s95)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15356,plain,
    ( m_main_v_turn(s95,c_2)
    | ~ node18(s99,s95)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_15355]) ).

tcf(c_15373,plain,
    ( m_main_v_state2(s35,c_t2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_10458]) ).

tcf(c_15409,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s47,c_n2) ),
    inference(instantiation,[status(thm)],[c_10501]) ).

tcf(c_15432,plain,
    ( m_main_v_turn(s98,c_2)
    | ~ node17(s98,s99)
    | ~ m_main_v_turn(s99,c_2) ),
    inference(instantiation,[status(thm)],[c_10534]) ).

tcf(c_15444,plain,
    ( node12(s84)
    | node11(s84)
    | node10(s84)
    | node9(s84)
    | node8(s84)
    | m_main_v_state2(s85,c_n2)
    | ~ node14(s84,s85)
    | ~ m_main_v_state2(s84,c_c2) ),
    inference(instantiation,[status(thm)],[c_10915]) ).

tcf(c_15458,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s44,c_2)
      | ~ node18(X0,s44)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_15468,plain,
    ( m_main_v_state2(s63,c_t2)
    | ~ node13(s62,s63)
    | ~ m_main_v_state2(s62,c_t2) ),
    inference(instantiation,[status(thm)],[c_11606]) ).

tcf(c_15490,plain,
    ( node12(s20)
    | node11(s20)
    | node10(s20)
    | node9(s20)
    | node8(s20)
    | m_main_v_state2(s21,c_n2)
    | ~ node14(s20,s21)
    | ~ m_main_v_state2(s20,c_c2) ),
    inference(instantiation,[status(thm)],[c_11909]) ).

tcf(c_15493,plain,
    ( m_main_v_state2(s75,c_t2)
    | ~ node13(s74,s75)
    | ~ m_main_v_state2(s74,c_t2) ),
    inference(instantiation,[status(thm)],[c_12034]) ).

tcf(c_15516,plain,
    ( node12(s80)
    | node11(s80)
    | node10(s80)
    | node9(s80)
    | node8(s80)
    | m_main_v_state2(s81,c_n2)
    | ~ node14(s80,s81)
    | ~ m_main_v_state2(s80,c_c2) ),
    inference(instantiation,[status(thm)],[c_12387]) ).

tcf(c_15525,plain,
    ( m_main_v_state2(s91,c_t2)
    | ~ node13(s90,s91)
    | ~ m_main_v_state2(s90,c_t2) ),
    inference(instantiation,[status(thm)],[c_12421]) ).

tcf(c_15526,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node13(s90,s91)
    | ~ m_main_v_state2(s91,c_n2) ),
    inference(instantiation,[status(thm)],[c_12423]) ).

tcf(c_15633,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node4(s66) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_15659,plain,
    ( ~ m_main_v_turn(s44,c_2)
    | ~ m_main_v_turn(s44,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_15701,plain,
    ( m_main_v_state1(s86,c_t1)
    | ~ node5(s86) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_15705,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node11(s86) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_15759,plain,
    ( ~ m_main_v_state1(s59,c_t1)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_15838,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node6(s20,s21)
    | ~ m_main_v_state1(s21,c_n1) ),
    inference(instantiation,[status(thm)],[c_9208]) ).

tcf(c_15843,plain,
    ( m_main_v_turn(s20,c_1)
    | ~ node5(s20) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_15869,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node10(s74) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_15952,plain,
    ( m_main_v_state1(s29,c_t1)
    | ~ node6(s28,s29)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_13027]) ).

tcf(c_16010,plain,
    ( ~ m_main_v_state2(s94,c_c2)
    | ~ m_main_v_state2(s94,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_16016,plain,
    ( m_main_v_turn(s24,c_2)
    | ~ node18(s23,s24)
    | ~ m_main_v_state2(s23,c_t2)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_14477]) ).

tcf(c_16022,plain,
    ( m_main_v_turn(s36,c_2)
    | ~ node18(s35,s36)
    | ~ m_main_v_state2(s35,c_t2)
    | ~ m_main_v_state1(s35,c_n1) ),
    inference(instantiation,[status(thm)],[c_14611]) ).

tcf(c_16023,plain,
    ( m_main_v_turn(s40,c_2)
    | ~ node18(s39,s40)
    | ~ m_main_v_state2(s39,c_t2)
    | ~ m_main_v_state1(s39,c_n1) ),
    inference(instantiation,[status(thm)],[c_14643]) ).

tcf(c_16024,plain,
    ( m_main_v_turn(s48,c_2)
    | ~ node18(s47,s48)
    | ~ m_main_v_state2(s47,c_t2)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_14724]) ).

tcf(c_16027,plain,
    ( m_main_v_turn(s52,c_2)
    | ~ node18(s51,s52)
    | ~ m_main_v_state2(s51,c_t2)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_14769]) ).

tcf(c_16032,plain,
    ( m_main_v_turn(s60,c_2)
    | ~ node18(s59,s60)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_14855]) ).

tcf(c_16036,plain,
    ( m_main_v_turn(s72,c_2)
    | ~ node18(s71,s72)
    | ~ m_main_v_state2(s71,c_t2)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_14989]) ).

tcf(c_16045,plain,
    ( m_main_v_turn(s88,c_2)
    | ~ node18(s87,s88)
    | ~ m_main_v_state2(s87,c_t2)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_15169]) ).

tcf(c_16053,plain,
    ( m_main_v_turn(s44,c_2)
    | ~ node18(s43,s44)
    | ~ m_main_v_state2(s43,c_t2)
    | ~ m_main_v_state1(s43,c_n1) ),
    inference(instantiation,[status(thm)],[c_15458]) ).

tcf(c_16183,plain,
    ( m_main_v_state2(s49,c_c2)
    | ~ node3(s49) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_16185,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node3(s52) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_16232,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s27,c_n2) ),
    inference(instantiation,[status(thm)],[c_10426]) ).

tcf(c_16246,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node4(s98) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_16256,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node9(s98) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_16298,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node3(s40) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_16400,plain,
    ( ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state2(s7,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_16480,plain,
    ( m_main_v_state1(s36,c_c1)
    | ~ node10(s36) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_16524,plain,
    ( m_main_v_state2(s71,c_t2)
    | ~ node13(s70,s71)
    | ~ m_main_v_state2(s70,c_t2) ),
    inference(instantiation,[status(thm)],[c_13553]) ).

tcf(c_16552,plain,
    ( ~ m_main_v_state2(s54,c_t2)
    | ~ m_main_v_state2(s54,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_16599,plain,
    ( ~ m_main_v_state2(s58,c_t2)
    | ~ m_main_v_state2(s58,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_16623,plain,
    ( m_main_v_turn(s66,c_2)
    | ~ node17(s66,s67)
    | ~ m_main_v_turn(s67,c_2) ),
    inference(instantiation,[status(thm)],[c_9783]) ).

tcf(c_16628,plain,
    ( ~ m_main_v_state2(s67,c_t2)
    | ~ m_main_v_state2(s67,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_16637,plain,
    ( m_main_v_state1(s68,c_c1)
    | ~ node10(s68) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_16791,plain,
    ( ~ m_main_v_turn(s52,c_2)
    | ~ m_main_v_turn(s52,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16810,plain,
    ( ~ m_main_v_turn(s54,c_2)
    | ~ m_main_v_turn(s54,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16866,plain,
    ( ~ m_main_v_turn(s62,c_2)
    | ~ m_main_v_turn(s62,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16874,plain,
    ( m_main_v_turn(s62,c_2)
    | ~ node17(s62,s63)
    | ~ m_main_v_turn(s63,c_2) ),
    inference(instantiation,[status(thm)],[c_9719]) ).

tcf(c_16891,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node16(s66) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_16904,plain,
    ( ~ m_main_v_turn(s70,c_2)
    | ~ m_main_v_turn(s70,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16934,plain,
    ( m_main_v_state2(s67,c_t2)
    | ~ node13(s66,s67)
    | ~ m_main_v_state2(s66,c_t2) ),
    inference(instantiation,[status(thm)],[c_13974]) ).

tcf(c_18079,plain,
    ! [X0: $i] :
      ( node12(s4)
      | node11(s4)
      | node10(s4)
      | node9(s4)
      | node8(s4)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s4,c_c2)
      | ~ node14(s4,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_18135,plain,
    ( m_main_v_state1(s11,c_c1)
    | ~ node10(s11) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18159,plain,
    ( m_main_v_state1(s15,c_c1)
    | ~ node10(s15) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18167,plain,
    ( m_main_v_state1(s16,c_c1)
    | ~ node10(s16) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18204,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node12(s20) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_18230,plain,
    ( m_main_v_state2(s22,c_c2)
    | ~ node3(s22) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_18284,plain,
    ( m_main_v_state1(s28,c_c1)
    | ~ node10(s28) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18305,plain,
    ! [X0: $i] :
      ( node12(s32)
      | node11(s32)
      | node10(s32)
      | node9(s32)
      | node8(s32)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s32,c_c2)
      | ~ node14(s32,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_18314,plain,
    ( m_main_v_state1(s32,c_c1)
    | ~ node10(s32) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18335,plain,
    ( m_main_v_state1(s35,c_c1)
    | ~ node10(s35) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18342,plain,
    ( ~ m_main_v_turn(s38,c_2)
    | ~ m_main_v_turn(s38,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_18369,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node2(s40) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_18480,plain,
    ! [X0: $i] :
      ( node12(s56)
      | node11(s56)
      | node10(s56)
      | node9(s56)
      | node8(s56)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s56,c_c2)
      | ~ node14(s56,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_18568,plain,
    ( m_main_v_state1(s63,c_c1)
    | ~ node10(s63) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18606,plain,
    ( m_main_v_state1(s67,c_c1)
    | ~ node10(s67) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18627,plain,
    ( ~ m_main_v_turn(s72,c_2)
    | ~ m_main_v_turn(s72,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_18630,plain,
    ! [X0: $i] :
      ( node12(s72)
      | node11(s72)
      | node10(s72)
      | node9(s72)
      | node8(s72)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s72,c_c2)
      | ~ node14(s72,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_18643,plain,
    ( ~ m_main_v_state1(s72,c_t1)
    | ~ m_main_v_state1(s72,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_18693,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node5(s78) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_18700,plain,
    ( m_main_v_state2(s80,c_n2)
    | ~ node4(s80) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_18715,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node9(s82) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_18740,plain,
    ( m_main_v_state2(s85,c_c2)
    | ~ node3(s85) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_18747,plain,
    ( ~ m_main_v_turn(s90,c_2)
    | ~ m_main_v_turn(s90,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_18774,plain,
    ( m_main_v_state2(s92,c_t2)
    | ~ node12(s92) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_18784,plain,
    ( m_main_v_state2(s92,c_n2)
    | ~ node4(s92) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_18806,plain,
    ( ~ m_main_v_turn(s98,c_2)
    | ~ m_main_v_turn(s98,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_18857,plain,
    ! [X0: $i] :
      ( node12(s16)
      | node11(s16)
      | node10(s16)
      | node9(s16)
      | node8(s16)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s16,c_c2)
      | ~ node14(s16,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_18914,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node11(s34) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_18974,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node11(s52) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_18983,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s55,X0)
      | ~ node13(s54,s55)
      | ~ m_main_v_state2(s54,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_18984,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s54,X0)
      | ~ node13(s54,s55)
      | ~ m_main_v_state2(s55,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_19003,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s59,X0)
      | ~ node13(s58,s59)
      | ~ m_main_v_state2(s58,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_19004,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s58,X0)
      | ~ node13(s58,s59)
      | ~ m_main_v_state2(s59,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_19045,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node10(s66) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_19079,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node16(s74) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_19095,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node16(s78) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_19098,plain,
    ( ~ m_main_v_state2(s78,c_c2)
    | ~ m_main_v_state2(s78,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_19110,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node9(s80) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_19132,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s87,X0)
      | ~ node17(s86,s87)
      | ~ m_main_v_turn(s86,X0) ),
    inference(instantiation,[status(thm)],[c_390]) ).

tcf(c_19134,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s87,X0)
      | ~ node13(s86,s87)
      | ~ m_main_v_state2(s86,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_19136,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s86,X0)
      | ~ node13(s86,s87)
      | ~ m_main_v_state2(s87,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_19150,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node16(s90) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_19170,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s95,X0)
      | ~ node13(s94,s95)
      | ~ m_main_v_state2(s94,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_19187,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node16(s98) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_19308,plain,
    ( m_main_v_state1(s23,c_c1)
    | ~ node10(s23) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19401,plain,
    ( m_main_v_state2(s10,c_c2)
    | ~ node3(s10) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_19405,plain,
    ( m_main_v_state1(s40,c_c1)
    | ~ node10(s40) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19464,plain,
    ( m_main_v_state1(s52,c_c1)
    | ~ node10(s52) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19502,plain,
    ( m_main_v_state1(s60,c_c1)
    | ~ node10(s60) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19574,plain,
    ( m_main_v_state1(s72,c_c1)
    | ~ node10(s72) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19614,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node12(s80) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_19616,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node5(s80) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_19645,plain,
    ( m_main_v_state1(s83,c_c1)
    | ~ node10(s83) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19694,plain,
    ( m_main_v_state1(s92,c_c1)
    | ~ node10(s92) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19843,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s74,X0)
      | ~ node17(s74,s75)
      | ~ m_main_v_turn(s75,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_20223,plain,
    ( m_main_v_state2(s77,c_t2)
    | ~ node1(s77) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_20253,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node2(s90) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_20324,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node12(s16) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_20339,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node1(s17) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_20382,plain,
    ( ~ m_main_v_state2(s30,c_t2)
    | ~ m_main_v_state2(s30,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_20383,plain,
    ( ~ m_main_v_state2(s33,c_t2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_20494,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s79,X0)
      | ~ node13(s78,s79)
      | ~ m_main_v_state2(s78,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_20496,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s78,X0)
      | ~ node13(s78,s79)
      | ~ m_main_v_state2(s79,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_20498,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node11(s80) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_20517,plain,
    ( node12(s4)
    | node11(s4)
    | node10(s4)
    | node9(s4)
    | node8(s4)
    | m_main_v_state2(s5,c_n2)
    | ~ node14(s4,s5)
    | ~ m_main_v_state2(s4,c_c2) ),
    inference(instantiation,[status(thm)],[c_18079]) ).

tcf(c_20618,plain,
    ( node12(s32)
    | node11(s32)
    | node10(s32)
    | node9(s32)
    | node8(s32)
    | m_main_v_state2(s33,c_n2)
    | ~ node14(s32,s33)
    | ~ m_main_v_state2(s32,c_c2) ),
    inference(instantiation,[status(thm)],[c_18305]) ).

tcf(c_20637,plain,
    ( m_main_v_turn(s16,c_1)
    | ~ node5(s16) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20721,plain,
    ( node12(s56)
    | node11(s56)
    | node10(s56)
    | node9(s56)
    | node8(s56)
    | m_main_v_state2(s57,c_n2)
    | ~ node14(s56,s57)
    | ~ m_main_v_state2(s56,c_c2) ),
    inference(instantiation,[status(thm)],[c_18480]) ).

tcf(c_20729,plain,
    ( m_main_v_turn(s24,c_1)
    | ~ node5(s24) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20769,plain,
    ( m_main_v_turn(s28,c_1)
    | ~ node5(s28) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20782,plain,
    ( node12(s72)
    | node11(s72)
    | node10(s72)
    | node9(s72)
    | node8(s72)
    | m_main_v_state2(s73,c_n2)
    | ~ node14(s72,s73)
    | ~ m_main_v_state2(s72,c_c2) ),
    inference(instantiation,[status(thm)],[c_18630]) ).

tcf(c_20855,plain,
    ( m_main_v_turn(s36,c_1)
    | ~ node5(s36) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20902,plain,
    ( m_main_v_turn(s40,c_1)
    | ~ node5(s40) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20957,plain,
    ! [X0: $i] :
      ( node12(s8)
      | node11(s8)
      | node10(s8)
      | node9(s8)
      | node8(s8)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s8,c_c2)
      | ~ node14(s8,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_21015,plain,
    ( m_main_v_state1(s12,c_c1)
    | ~ node10(s12) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_21106,plain,
    ( ~ m_main_v_state1(s51,c_t1)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_21278,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s33,X0)
      | ~ node6(s32,s33)
      | ~ m_main_v_state1(s32,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_21329,plain,
    ( m_main_v_state1(s51,c_c1)
    | ~ node10(s51) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_21404,plain,
    ! [X0: $i] :
      ( node12(s52)
      | node11(s52)
      | node10(s52)
      | node9(s52)
      | node8(s52)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s52,c_c2)
      | ~ node14(s52,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_21436,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node9(s84) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_21523,plain,
    ( m_main_v_state2(s72,c_t2)
    | ~ node12(s72) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_21533,plain,
    ( m_main_v_state2(s90,c_c2)
    | ~ node3(s90) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_21826,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node9(s79) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22080,plain,
    ( m_main_v_state2(s86,c_c2)
    | ~ node3(s86) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_22251,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node1(s98) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_22260,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node11(s84) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_22280,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s99,X0)
      | ~ node13(s98,s99)
      | ~ m_main_v_state2(s98,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_22282,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s98,X0)
      | ~ node13(s98,s99)
      | ~ m_main_v_state2(s99,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_22398,plain,
    ( m_main_v_turn(s48,c_1)
    | ~ node5(s48) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_22399,plain,
    ( m_main_v_turn(s52,c_1)
    | ~ node5(s52) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_22400,plain,
    ( m_main_v_turn(s68,c_1)
    | ~ node5(s68) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_22438,plain,
    ( node12(s12)
    | node11(s12)
    | node10(s12)
    | node9(s12)
    | node8(s12)
    | m_main_v_state2(s13,c_n2)
    | ~ node14(s12,s13)
    | ~ m_main_v_state2(s12,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22450,plain,
    ( node12(s24)
    | node11(s24)
    | node10(s24)
    | node9(s24)
    | node8(s24)
    | m_main_v_state2(s25,c_n2)
    | ~ node14(s24,s25)
    | ~ m_main_v_state2(s24,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22466,plain,
    ( node12(s40)
    | node11(s40)
    | node10(s40)
    | node9(s40)
    | node8(s40)
    | m_main_v_state2(s41,c_n2)
    | ~ node14(s40,s41)
    | ~ m_main_v_state2(s40,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22470,plain,
    ( node12(s44)
    | node11(s44)
    | node10(s44)
    | node9(s44)
    | node8(s44)
    | m_main_v_state2(s45,c_n2)
    | ~ node14(s44,s45)
    | ~ m_main_v_state2(s44,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22474,plain,
    ( node12(s48)
    | node11(s48)
    | node10(s48)
    | node9(s48)
    | node8(s48)
    | m_main_v_state2(s49,c_n2)
    | ~ node14(s48,s49)
    | ~ m_main_v_state2(s48,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22486,plain,
    ( node12(s60)
    | node11(s60)
    | node10(s60)
    | node9(s60)
    | node8(s60)
    | m_main_v_state2(s61,c_n2)
    | ~ node14(s60,s61)
    | ~ m_main_v_state2(s60,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22502,plain,
    ( node12(s76)
    | node11(s76)
    | node10(s76)
    | node9(s76)
    | node8(s76)
    | m_main_v_state2(s77,c_n2)
    | ~ node14(s76,s77)
    | ~ m_main_v_state2(s76,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22514,plain,
    ( node12(s88)
    | node11(s88)
    | node10(s88)
    | node9(s88)
    | node8(s88)
    | m_main_v_state2(s89,c_n2)
    | ~ node14(s88,s89)
    | ~ m_main_v_state2(s88,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22518,plain,
    ( node12(s92)
    | node11(s92)
    | node10(s92)
    | node9(s92)
    | node8(s92)
    | m_main_v_state2(s93,c_n2)
    | ~ node14(s92,s93)
    | ~ m_main_v_state2(s92,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22522,plain,
    ( node12(s96)
    | node11(s96)
    | node10(s96)
    | node9(s96)
    | node8(s96)
    | m_main_v_state2(s97,c_n2)
    | ~ node14(s96,s97)
    | ~ m_main_v_state2(s96,c_c2) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_22544,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s43,X0)
      | ~ node13(s42,s43)
      | ~ m_main_v_state2(s42,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_22546,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s42,X0)
      | ~ node13(s42,s43)
      | ~ m_main_v_state2(s43,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_22863,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node9(s95) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22905,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node12(s44) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_22943,plain,
    ( node12(s16)
    | node11(s16)
    | node10(s16)
    | node9(s16)
    | node8(s16)
    | m_main_v_state2(s17,c_n2)
    | ~ node14(s16,s17)
    | ~ m_main_v_state2(s16,c_c2) ),
    inference(instantiation,[status(thm)],[c_18857]) ).

tcf(c_23161,plain,
    ( m_main_v_state2(s46,c_c2)
    | ~ node3(s46) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_23314,plain,
    ( ~ m_main_v_state1(s48,c_t1)
    | ~ m_main_v_state1(s48,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23340,plain,
    ( ~ m_main_v_turn(s30,c_2)
    | ~ m_main_v_turn(s30,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23344,plain,
    ( ~ m_main_v_turn(s34,c_2)
    | ~ m_main_v_turn(s34,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23346,plain,
    ( ~ m_main_v_turn(s36,c_2)
    | ~ m_main_v_turn(s36,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23494,plain,
    ( m_main_v_state1(s59,c_c1)
    | ~ node10(s59) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_23522,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s93,X0)
      | ~ node6(s92,s93)
      | ~ m_main_v_state1(s92,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_23524,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s92,X0)
      | ~ node6(s92,s93)
      | ~ m_main_v_state1(s93,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_23527,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node3(s93) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_23589,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s73,X0)
      | ~ node6(s72,s73)
      | ~ m_main_v_state1(s72,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_23591,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s72,X0)
      | ~ node6(s72,s73)
      | ~ m_main_v_state1(s73,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_23610,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s18,X0)
      | ~ node13(s18,s19)
      | ~ m_main_v_state2(s19,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_23750,plain,
    ( m_main_v_state1(s33,c_t1)
    | ~ node6(s32,s33)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_21278]) ).

tcf(c_23782,plain,
    ( m_main_v_state1(s39,c_c1)
    | ~ node10(s39) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_23785,plain,
    ( m_main_v_state2(s41,c_c2)
    | ~ node3(s41) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_23826,plain,
    ( m_main_v_state1(s48,c_c1)
    | ~ node10(s48) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_24049,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node11(s46) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_24175,plain,
    ( m_main_v_state1(s20,c_c1)
    | ~ node10(s20) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_24188,plain,
    ( ~ m_main_v_state2(s26,c_t2)
    | ~ m_main_v_state2(s26,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_24193,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node12(s12) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_24292,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node12(s24) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_24352,plain,
    ( m_main_v_state2(s68,c_n2)
    | ~ node4(s68) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_24615,plain,
    ( m_main_v_state2(s59,c_t2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_19003]) ).

tcf(c_24710,plain,
    ( m_main_v_turn(s87,c_1)
    | ~ node17(s86,s87)
    | ~ m_main_v_turn(s86,c_1) ),
    inference(instantiation,[status(thm)],[c_19132]) ).

tcf(c_24715,plain,
    ( m_main_v_state2(s87,c_t2)
    | ~ node13(s86,s87)
    | ~ m_main_v_state2(s86,c_t2) ),
    inference(instantiation,[status(thm)],[c_19134]) ).

tcf(c_24762,plain,
    ( m_main_v_state2(s95,c_t2)
    | ~ node13(s94,s95)
    | ~ m_main_v_state2(s94,c_t2) ),
    inference(instantiation,[status(thm)],[c_19170]) ).

tcf(c_24867,plain,
    ( node12(s8)
    | node11(s8)
    | node10(s8)
    | node9(s8)
    | node8(s8)
    | m_main_v_state2(s9,c_n2)
    | ~ node14(s8,s9)
    | ~ m_main_v_state2(s8,c_c2) ),
    inference(instantiation,[status(thm)],[c_20957]) ).

tcf(c_24879,plain,
    ( node12(s52)
    | node11(s52)
    | node10(s52)
    | node9(s52)
    | node8(s52)
    | m_main_v_state2(s53,c_n2)
    | ~ node14(s52,s53)
    | ~ m_main_v_state2(s52,c_c2) ),
    inference(instantiation,[status(thm)],[c_21404]) ).

tcf(c_24939,plain,
    ( m_main_v_state2(s43,c_t2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_22544]) ).

tcf(c_24962,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s2)
      | ~ succ(s2,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_25125,plain,
    ( ~ m_main_v_state2(s46,c_t2)
    | ~ m_main_v_state2(s46,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_25138,plain,
    ( ~ m_main_v_state2(s97,c_t2)
    | ~ m_main_v_state2(s97,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_25199,plain,
    ( ~ m_main_v_turn(s40,c_2)
    | ~ m_main_v_turn(s40,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_25226,plain,
    ( m_main_v_state2(s37,c_c2)
    | ~ node3(s37) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_25669,plain,
    ( ~ m_main_v_state2(s77,c_t2)
    | ~ m_main_v_state2(s77,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_25965,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s61,X0)
      | ~ node6(s60,s61)
      | ~ m_main_v_state1(s60,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_25989,plain,
    ( m_main_v_state1(s84,c_c1)
    | ~ node10(s84) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_26001,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node2(s84) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_26019,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s9,X0)
      | ~ node6(s8,s9)
      | ~ m_main_v_state1(s8,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_26023,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s13,X0)
      | ~ node6(s12,s13)
      | ~ m_main_v_state1(s12,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_26036,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node4(s70) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_26107,plain,
    ( ~ m_main_v_state1(s36,c_t1)
    | ~ m_main_v_state1(s36,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_26122,plain,
    ( ~ m_main_v_state1(s39,c_t1)
    | ~ m_main_v_state1(s39,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_26146,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s31,X0)
      | ~ node13(s30,s31)
      | ~ m_main_v_state2(s30,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_26148,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s30,X0)
      | ~ node13(s30,s31)
      | ~ m_main_v_state2(s31,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_26170,plain,
    ( m_main_v_state1(s56,c_c1)
    | ~ node10(s56) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_26193,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s39,X0)
      | ~ node13(s38,s39)
      | ~ m_main_v_state2(s38,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_26291,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node9(s92) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_26309,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s47,X0)
      | ~ node13(s46,s47)
      | ~ m_main_v_state2(s46,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_26358,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s53,X0)
      | ~ node6(s52,s53)
      | ~ m_main_v_state1(s52,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_26360,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s52,X0)
      | ~ node6(s52,s53)
      | ~ m_main_v_state1(s53,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_26493,plain,
    ( m_main_v_state1(s91,c_c1)
    | ~ node10(s91) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_26570,plain,
    ( m_main_v_state1(s73,c_t1)
    | ~ node6(s72,s73)
    | ~ m_main_v_state1(s72,c_t1) ),
    inference(instantiation,[status(thm)],[c_23589]) ).

tcf(c_26578,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node6(s72,s73)
    | ~ m_main_v_state1(s73,c_n1) ),
    inference(instantiation,[status(thm)],[c_23591]) ).

tcf(c_26799,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s43,c_n2) ),
    inference(instantiation,[status(thm)],[c_22546]) ).

tcf(c_26881,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node13(s98,s99)
    | ~ m_main_v_state2(s99,c_n2) ),
    inference(instantiation,[status(thm)],[c_22282]) ).

tcf(c_26980,plain,
    ( m_main_v_state1(s44,c_c1)
    | ~ node10(s44) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_27027,plain,
    ( m_main_v_turn(s74,c_2)
    | ~ node17(s74,s75)
    | ~ m_main_v_turn(s75,c_2) ),
    inference(instantiation,[status(thm)],[c_19843]) ).

tcf(c_27136,plain,
    ( ~ m_main_v_turn(s82,c_2)
    | ~ m_main_v_turn(s82,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_27159,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node16(s86) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_27170,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node10(s87) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_27230,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node12(s96) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_27254,plain,
    ( ~ m_main_v_turn(s88,c_2)
    | ~ m_main_v_turn(s88,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_27264,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node9(s90) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_27326,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s19,c_n2) ),
    inference(instantiation,[status(thm)],[c_23610]) ).

tcf(c_27372,plain,
    ( until21(s3)
    | ~ xuntil22(s2)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_24962]) ).

tcf(c_28075,plain,
    ( m_main_v_state2(s83,c_n2)
    | ~ node9(s83) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_28082,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s27,X0)
      | ~ node13(s26,s27)
      | ~ m_main_v_state2(s26,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_28131,plain,
    ( m_main_v_state2(s29,c_c2)
    | ~ node3(s29) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_28180,plain,
    ( m_main_v_state1(s74,c_t1)
    | ~ node5(s74) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_28182,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node2(s89) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_28188,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node2(s37) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_28210,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node4(s86) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_28214,plain,
    ( m_main_v_state1(s90,c_t1)
    | ~ node5(s90) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_28218,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node3(s92) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_28226,plain,
    ( ~ m_main_v_state1(s96,c_t1)
    | ~ m_main_v_state1(s96,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_28270,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s49,X0)
      | ~ node6(s48,s49)
      | ~ m_main_v_state1(s48,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_28305,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s77,X0)
      | ~ node6(s76,s77)
      | ~ m_main_v_state1(s76,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_28365,plain,
    ( m_main_v_turn(s60,c_1)
    | ~ node5(s60) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_28389,plain,
    ( m_main_v_state1(s9,c_t1)
    | ~ node6(s8,s9)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_26019]) ).

tcf(c_28397,plain,
    ( m_main_v_state1(s13,c_t1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_26023]) ).

tcf(c_28607,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node11(s94) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_28801,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s51,X0)
      | ~ node13(s50,s51)
      | ~ m_main_v_state2(s50,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_28974,plain,
    ( ~ m_main_v_turn(s60,c_2)
    | ~ m_main_v_turn(s60,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_29001,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node16(s82) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_29110,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node13(s78,s79)
    | ~ m_main_v_state2(s79,c_n2) ),
    inference(instantiation,[status(thm)],[c_20496]) ).

tcf(c_29439,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s31,c_n2) ),
    inference(instantiation,[status(thm)],[c_26148]) ).

tcf(c_29448,plain,
    ( m_main_v_state2(s39,c_t2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_26193]) ).

tcf(c_29466,plain,
    ( m_main_v_state2(s47,c_t2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_26309]) ).

tcf(c_29668,plain,
    ( ~ m_main_v_state1(s84,c_t1)
    | ~ m_main_v_state1(s84,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_29674,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node2(s28) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_29749,plain,
    ( m_main_v_state2(s67,c_n2)
    | ~ node9(s67) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_29905,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s53,c_n1) ),
    inference(instantiation,[status(thm)],[c_26360]) ).

tcf(c_29919,plain,
    ( m_main_v_state1(s93,c_t1)
    | ~ node6(s92,s93)
    | ~ m_main_v_state1(s92,c_t1) ),
    inference(instantiation,[status(thm)],[c_23522]) ).

tcf(c_29944,plain,
    ( ~ m_main_v_state2(s85,c_t2)
    | ~ m_main_v_state2(s85,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_29955,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node2(s88) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_30015,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node2(s86) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_30034,plain,
    ( ~ m_main_v_state1(s91,c_t1)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_30131,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s55,c_n2) ),
    inference(instantiation,[status(thm)],[c_18984]) ).

tcf(c_30201,plain,
    ( m_main_v_state2(s99,c_t2)
    | ~ node13(s98,s99)
    | ~ m_main_v_state2(s98,c_t2) ),
    inference(instantiation,[status(thm)],[c_22280]) ).

tcf(c_30283,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node13(s86,s87)
    | ~ m_main_v_state2(s87,c_n2) ),
    inference(instantiation,[status(thm)],[c_19136]) ).

tcf(c_30300,plain,
    ( ~ m_main_v_turn(s94,c_2)
    | ~ m_main_v_turn(s94,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_30306,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node12(s84) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_30360,plain,
    ( m_main_v_state2(s31,c_t2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_26146]) ).

tcf(c_30408,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node3(s84) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_30415,plain,
    ( ~ m_main_v_turn(s86,c_2)
    | ~ m_main_v_turn(s86,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_30422,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node9(s87) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_30522,plain,
    ( xuntil22(s3)
    | node20(s3)
    | ~ until21(s3) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_30535,plain,
    ( m_main_v_state2(s26,c_c2)
    | ~ node3(s26) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_30557,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s25,X0)
      | ~ node6(s24,s25)
      | ~ m_main_v_state1(s24,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_30601,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node2(s49) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_30636,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node4(s74) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_30677,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s41,X0)
      | ~ node6(s40,s41)
      | ~ m_main_v_state1(s40,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_30731,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node5(s96) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_30733,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s45,X0)
      | ~ node6(s44,s45)
      | ~ m_main_v_state1(s44,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_30735,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s44,X0)
      | ~ node6(s44,s45)
      | ~ m_main_v_state1(s45,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_30823,plain,
    ( m_main_v_state2(s34,c_c2)
    | ~ node3(s34) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_30916,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node9(s28) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_30953,plain,
    ( m_main_v_state1(s53,c_t1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_26358]) ).

tcf(c_31012,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node3(s88) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_31043,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node4(s78) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_31078,plain,
    ( m_main_v_state2(s38,c_c2)
    | ~ node3(s38) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_31147,plain,
    ( m_main_v_state1(s70,c_t1)
    | ~ node5(s70) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_31170,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node16(s70) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_31201,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node1(s61) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_31261,plain,
    ( m_main_v_state1(s82,c_t1)
    | ~ node5(s82) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_31272,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s83,X0)
      | ~ node13(s82,s83)
      | ~ m_main_v_state2(s82,X0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_31458,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s59,c_n2) ),
    inference(instantiation,[status(thm)],[c_19004]) ).

tcf(c_31554,plain,
    ( m_main_v_state1(s61,c_t1)
    | ~ node6(s60,s61)
    | ~ m_main_v_state1(s60,c_t1) ),
    inference(instantiation,[status(thm)],[c_25965]) ).

tcf(c_31642,plain,
    ( m_main_v_state1(s49,c_t1)
    | ~ node6(s48,s49)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_28270]) ).

tcf(c_31741,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node3(s80) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_31785,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node6(s92,s93)
    | ~ m_main_v_state1(s93,c_n1) ),
    inference(instantiation,[status(thm)],[c_23524]) ).

tcf(c_31798,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node2(s94) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_31941,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node11(s88) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_31965,plain,
    ( m_main_v_state2(s77,c_c2)
    | ~ node3(s77) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_31968,plain,
    ( ~ m_main_v_turn(s78,c_2)
    | ~ m_main_v_turn(s78,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_31971,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node2(s78) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_32016,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s37,X0)
      | ~ node6(s36,s37)
      | ~ m_main_v_state1(s36,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_32143,plain,
    ( m_main_v_state2(s42,c_c2)
    | ~ node3(s42) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_32185,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node12(s40) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_32201,plain,
    ( ~ m_main_v_state2(s42,c_t2)
    | ~ m_main_v_state2(s42,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_32219,plain,
    ( ~ m_main_v_turn(s42,c_2)
    | ~ m_main_v_turn(s42,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_32409,plain,
    ( m_main_v_state2(s79,c_t2)
    | ~ node13(s78,s79)
    | ~ m_main_v_state2(s78,c_t2) ),
    inference(instantiation,[status(thm)],[c_20494]) ).

tcf(c_32497,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node9(s74) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_32518,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node11(s98) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_32604,plain,
    ( m_main_v_state2(s27,c_t2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_28082]) ).

tcf(c_32622,plain,
    ( m_main_v_state2(s51,c_t2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_28801]) ).

tcf(c_32630,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node2(s52) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_32681,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node12(s52) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_32776,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node2(s96) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_32792,plain,
    ( m_main_v_state2(s88,c_n2)
    | ~ node4(s88) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_32877,plain,
    ( m_main_v_state2(s70,c_c2)
    | ~ node3(s70) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_32897,plain,
    ( m_main_v_state1(s62,c_t1)
    | ~ node5(s62) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_32899,plain,
    ( m_main_v_state1(s77,c_t1)
    | ~ node6(s76,s77)
    | ~ m_main_v_state1(s76,c_t1) ),
    inference(instantiation,[status(thm)],[c_28305]) ).

tcf(c_32910,plain,
    ( m_main_v_state2(s54,c_c2)
    | ~ node3(s54) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_32919,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node4(s82) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_32988,plain,
    ( m_main_v_state2(s30,c_c2)
    | ~ node3(s30) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_33034,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node2(s97) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_33138,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node2(s77) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_33139,plain,
    ( m_main_v_state2(s78,c_c2)
    | ~ node3(s78) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_33347,plain,
    ( m_main_v_state1(s25,c_t1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_30557]) ).

tcf(c_33365,plain,
    ( m_main_v_state1(s41,c_t1)
    | ~ node6(s40,s41)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_30677]) ).

tcf(c_33383,plain,
    ( m_main_v_state1(s45,c_t1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_30733]) ).

tcf(c_33388,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s45,c_n1) ),
    inference(instantiation,[status(thm)],[c_30735]) ).

tcf(c_33421,plain,
    ( m_main_v_state1(s37,c_t1)
    | ~ node6(s36,s37)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_32016]) ).

tcf(c_33648,plain,
    ( m_main_v_state2(s55,c_t2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_18983]) ).

tcf(c_34142,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node10(s79) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_34152,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node11(s92) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_34318,plain,
    ( m_main_v_state2(s83,c_t2)
    | ~ node13(s82,s83)
    | ~ m_main_v_state2(s82,c_t2) ),
    inference(instantiation,[status(thm)],[c_31272]) ).

tcf(c_34346,plain,
    ( m_main_v_state2(s82,c_c2)
    | ~ node3(s82) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_34348,plain,
    ( m_main_v_state2(s50,c_c2)
    | ~ node3(s50) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_34375,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node5(s54) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_34489,plain,
    ( ~ m_main_v_state2(s81,c_t2)
    | ~ m_main_v_state2(s81,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_35092,plain,
    ( m_main_v_turn(s88,c_1)
    | ~ node5(s88) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_35244,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node2(s80) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_35366,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node11(s90) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_37365,plain,
    ( m_main_v_state2(s33,c_c2)
    | ~ node3(s33) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_37938,plain,
    ( m_main_v_state2(s61,c_c2)
    | ~ node3(s61) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_38120,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node2(s70) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_38203,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node2(s74) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_38247,plain,
    ( m_main_v_turn(s76,c_1)
    | ~ node5(s76) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_38431,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s85,X0)
      | ~ node6(s84,s85)
      | ~ m_main_v_state1(s84,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_38432,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s84,X0)
      | ~ node6(s84,s85)
      | ~ m_main_v_state1(s85,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_38453,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s89,X0)
      | ~ node6(s88,s89)
      | ~ m_main_v_state1(s88,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_38492,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node2(s93) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_38500,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node3(s96) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_38882,plain,
    ( ~ m_main_v_state1(s33,c_t1)
    | ~ m_main_v_state1(s33,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_38925,plain,
    ( ~ m_main_v_state1(s97,c_t1)
    | ~ m_main_v_state1(s97,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_39336,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node6(s84,s85)
    | ~ m_main_v_state1(s85,c_n1) ),
    inference(instantiation,[status(thm)],[c_38432]) ).

tcf(c_39356,plain,
    ( m_main_v_state1(s89,c_t1)
    | ~ node6(s88,s89)
    | ~ m_main_v_state1(s88,c_t1) ),
    inference(instantiation,[status(thm)],[c_38453]) ).

tcf(c_39779,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node11(s82) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_39833,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node16(s94) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_39854,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node10(s98) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_40069,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s1)
      | ~ trans(s1,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_40308,plain,
    ( m_main_v_state1(s85,c_t1)
    | ~ node6(s84,s85)
    | ~ m_main_v_state1(s84,c_t1) ),
    inference(instantiation,[status(thm)],[c_38431]) ).

tcf(c_40681,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node2(s92) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_41214,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node5(s84) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_41261,plain,
    ( m_main_v_state2(s94,c_c2)
    | ~ node3(s94) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_41957,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node10(s90) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_42220,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s97,X0)
      | ~ node6(s96,s97)
      | ~ m_main_v_state1(s96,X0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_42458,plain,
    ( always19(s2)
    | ~ always19(s1)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_40069]) ).

tcf(c_42896,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node4(s94) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_43884,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node10(s95) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_44977,plain,
    ( m_main_v_state1(s97,c_t1)
    | ~ node6(s96,s97)
    | ~ m_main_v_state1(s96,c_t1) ),
    inference(instantiation,[status(thm)],[c_42220]) ).

tcf(c_46077,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s3)
      | ~ succ(s3,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46081,plain,
    ( until21(s4)
    | ~ xuntil22(s3)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_46077]) ).

tcf(c_46082,plain,
    ( xuntil22(s4)
    | node20(s4)
    | ~ until21(s4) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46084,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46088,plain,
    ( until21(s5)
    | ~ xuntil22(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_46084]) ).

tcf(c_46089,plain,
    ( xuntil22(s5)
    | node20(s5)
    | ~ until21(s5) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46091,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46095,plain,
    ( until21(s6)
    | ~ xuntil22(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_46091]) ).

tcf(c_46096,plain,
    ( xuntil22(s6)
    | node20(s6)
    | ~ until21(s6) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46098,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46102,plain,
    ( until21(s7)
    | ~ xuntil22(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_46098]) ).

tcf(c_46103,plain,
    ( xuntil22(s7)
    | node20(s7)
    | ~ until21(s7) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46105,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46109,plain,
    ( until21(s8)
    | ~ xuntil22(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_46105]) ).

tcf(c_46110,plain,
    ( xuntil22(s8)
    | node20(s8)
    | ~ until21(s8) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46112,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46116,plain,
    ( until21(s9)
    | ~ xuntil22(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_46112]) ).

tcf(c_46117,plain,
    ( xuntil22(s9)
    | node20(s9)
    | ~ until21(s9) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46119,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46123,plain,
    ( until21(s10)
    | ~ xuntil22(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_46119]) ).

tcf(c_46124,plain,
    ( xuntil22(s10)
    | node20(s10)
    | ~ until21(s10) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46126,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46130,plain,
    ( until21(s11)
    | ~ xuntil22(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_46126]) ).

tcf(c_46131,plain,
    ( xuntil22(s11)
    | node20(s11)
    | ~ until21(s11) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46133,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46137,plain,
    ( until21(s12)
    | ~ xuntil22(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_46133]) ).

tcf(c_46138,plain,
    ( xuntil22(s12)
    | node20(s12)
    | ~ until21(s12) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46140,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46144,plain,
    ( until21(s13)
    | ~ xuntil22(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_46140]) ).

tcf(c_46145,plain,
    ( xuntil22(s13)
    | node20(s13)
    | ~ until21(s13) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46147,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46151,plain,
    ( until21(s14)
    | ~ xuntil22(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_46147]) ).

tcf(c_46152,plain,
    ( xuntil22(s14)
    | node20(s14)
    | ~ until21(s14) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46154,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46158,plain,
    ( until21(s15)
    | ~ xuntil22(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_46154]) ).

tcf(c_46159,plain,
    ( xuntil22(s15)
    | node20(s15)
    | ~ until21(s15) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46161,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46165,plain,
    ( until21(s16)
    | ~ xuntil22(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_46161]) ).

tcf(c_46166,plain,
    ( xuntil22(s16)
    | node20(s16)
    | ~ until21(s16) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46168,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46172,plain,
    ( until21(s17)
    | ~ xuntil22(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_46168]) ).

tcf(c_46173,plain,
    ( xuntil22(s17)
    | node20(s17)
    | ~ until21(s17) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46175,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46179,plain,
    ( until21(s18)
    | ~ xuntil22(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_46175]) ).

tcf(c_46180,plain,
    ( xuntil22(s18)
    | node20(s18)
    | ~ until21(s18) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46182,plain,
    ( always19(s4)
    | ~ node20(s4) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46185,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s4)
      | ~ trans(s4,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46189,plain,
    ( always19(s5)
    | ~ always19(s4)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_46185]) ).

tcf(c_46190,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s5)
      | ~ trans(s5,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46194,plain,
    ( always19(s6)
    | ~ always19(s5)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_46190]) ).

tcf(c_46197,plain,
    ( ~ always19(s6)
    | ~ m_main_v_state1(s6,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46206,plain,
    ( ~ always19(s2)
    | ~ m_main_v_state1(s2,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46225,plain,
    ( always19(s5)
    | ~ node20(s5) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46241,plain,
    ( always19(s8)
    | ~ node20(s8) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46244,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s8)
      | ~ trans(s8,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46248,plain,
    ( always19(s9)
    | ~ always19(s8)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_46244]) ).

tcf(c_46249,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s9)
      | ~ trans(s9,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46253,plain,
    ( always19(s10)
    | ~ always19(s9)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_46249]) ).

tcf(c_46256,plain,
    ( ~ always19(s10)
    | ~ m_main_v_state1(s10,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46263,plain,
    ( always19(s9)
    | ~ node20(s9) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46279,plain,
    ( always19(s12)
    | ~ node20(s12) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46282,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s12)
      | ~ trans(s12,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46286,plain,
    ( always19(s13)
    | ~ always19(s12)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_46282]) ).

tcf(c_46287,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s13)
      | ~ trans(s13,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46291,plain,
    ( always19(s14)
    | ~ always19(s13)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_46287]) ).

tcf(c_46294,plain,
    ( ~ always19(s14)
    | ~ m_main_v_state1(s14,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46301,plain,
    ( always19(s13)
    | ~ node20(s13) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46317,plain,
    ( always19(s16)
    | ~ node20(s16) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46320,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s16)
      | ~ trans(s16,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46324,plain,
    ( always19(s17)
    | ~ always19(s16)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_46320]) ).

tcf(c_46325,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s17)
      | ~ trans(s17,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46329,plain,
    ( always19(s18)
    | ~ always19(s17)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_46325]) ).

tcf(c_46332,plain,
    ( ~ always19(s18)
    | ~ m_main_v_state1(s18,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46339,plain,
    ( always19(s17)
    | ~ node20(s17) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46347,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46351,plain,
    ( until21(s19)
    | ~ xuntil22(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_46347]) ).

tcf(c_46352,plain,
    ( xuntil22(s19)
    | node20(s19)
    | ~ until21(s19) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46354,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46358,plain,
    ( until21(s20)
    | ~ xuntil22(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_46354]) ).

tcf(c_46359,plain,
    ( xuntil22(s20)
    | node20(s20)
    | ~ until21(s20) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46361,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46365,plain,
    ( until21(s21)
    | ~ xuntil22(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_46361]) ).

tcf(c_46366,plain,
    ( xuntil22(s21)
    | node20(s21)
    | ~ until21(s21) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46368,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46372,plain,
    ( until21(s22)
    | ~ xuntil22(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_46368]) ).

tcf(c_46373,plain,
    ( xuntil22(s22)
    | node20(s22)
    | ~ until21(s22) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46375,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46379,plain,
    ( until21(s23)
    | ~ xuntil22(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_46375]) ).

tcf(c_46380,plain,
    ( xuntil22(s23)
    | node20(s23)
    | ~ until21(s23) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46382,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46386,plain,
    ( until21(s24)
    | ~ xuntil22(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_46382]) ).

tcf(c_46387,plain,
    ( xuntil22(s24)
    | node20(s24)
    | ~ until21(s24) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46389,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46393,plain,
    ( until21(s25)
    | ~ xuntil22(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_46389]) ).

tcf(c_46394,plain,
    ( xuntil22(s25)
    | node20(s25)
    | ~ until21(s25) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46396,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46400,plain,
    ( until21(s26)
    | ~ xuntil22(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_46396]) ).

tcf(c_46401,plain,
    ( xuntil22(s26)
    | node20(s26)
    | ~ until21(s26) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46403,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46407,plain,
    ( until21(s27)
    | ~ xuntil22(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_46403]) ).

tcf(c_46408,plain,
    ( xuntil22(s27)
    | node20(s27)
    | ~ until21(s27) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46410,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46414,plain,
    ( until21(s28)
    | ~ xuntil22(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_46410]) ).

tcf(c_46415,plain,
    ( xuntil22(s28)
    | node20(s28)
    | ~ until21(s28) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46417,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46421,plain,
    ( until21(s29)
    | ~ xuntil22(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_46417]) ).

tcf(c_46422,plain,
    ( xuntil22(s29)
    | node20(s29)
    | ~ until21(s29) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46424,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46428,plain,
    ( until21(s30)
    | ~ xuntil22(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_46424]) ).

tcf(c_46429,plain,
    ( xuntil22(s30)
    | node20(s30)
    | ~ until21(s30) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46431,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46435,plain,
    ( until21(s31)
    | ~ xuntil22(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_46431]) ).

tcf(c_46436,plain,
    ( xuntil22(s31)
    | node20(s31)
    | ~ until21(s31) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46438,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46442,plain,
    ( until21(s32)
    | ~ xuntil22(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_46438]) ).

tcf(c_46443,plain,
    ( xuntil22(s32)
    | node20(s32)
    | ~ until21(s32) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46445,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46449,plain,
    ( until21(s33)
    | ~ xuntil22(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_46445]) ).

tcf(c_46450,plain,
    ( xuntil22(s33)
    | node20(s33)
    | ~ until21(s33) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46452,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46456,plain,
    ( until21(s34)
    | ~ xuntil22(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_46452]) ).

tcf(c_46457,plain,
    ( xuntil22(s34)
    | node20(s34)
    | ~ until21(s34) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46459,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46463,plain,
    ( until21(s35)
    | ~ xuntil22(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_46459]) ).

tcf(c_46464,plain,
    ( xuntil22(s35)
    | node20(s35)
    | ~ until21(s35) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46466,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46470,plain,
    ( until21(s36)
    | ~ xuntil22(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_46466]) ).

tcf(c_46471,plain,
    ( xuntil22(s36)
    | node20(s36)
    | ~ until21(s36) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46473,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46477,plain,
    ( until21(s37)
    | ~ xuntil22(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_46473]) ).

tcf(c_46478,plain,
    ( xuntil22(s37)
    | node20(s37)
    | ~ until21(s37) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46480,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46484,plain,
    ( until21(s38)
    | ~ xuntil22(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_46480]) ).

tcf(c_46485,plain,
    ( xuntil22(s38)
    | node20(s38)
    | ~ until21(s38) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46487,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46491,plain,
    ( until21(s39)
    | ~ xuntil22(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_46487]) ).

tcf(c_46492,plain,
    ( xuntil22(s39)
    | node20(s39)
    | ~ until21(s39) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46494,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46498,plain,
    ( until21(s40)
    | ~ xuntil22(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_46494]) ).

tcf(c_46499,plain,
    ( xuntil22(s40)
    | node20(s40)
    | ~ until21(s40) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46501,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46505,plain,
    ( until21(s41)
    | ~ xuntil22(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_46501]) ).

tcf(c_46506,plain,
    ( xuntil22(s41)
    | node20(s41)
    | ~ until21(s41) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46508,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46512,plain,
    ( until21(s42)
    | ~ xuntil22(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_46508]) ).

tcf(c_46513,plain,
    ( xuntil22(s42)
    | node20(s42)
    | ~ until21(s42) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46515,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46519,plain,
    ( until21(s43)
    | ~ xuntil22(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_46515]) ).

tcf(c_46520,plain,
    ( xuntil22(s43)
    | node20(s43)
    | ~ until21(s43) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46522,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46526,plain,
    ( until21(s44)
    | ~ xuntil22(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_46522]) ).

tcf(c_46527,plain,
    ( xuntil22(s44)
    | node20(s44)
    | ~ until21(s44) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46529,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46533,plain,
    ( until21(s45)
    | ~ xuntil22(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_46529]) ).

tcf(c_46534,plain,
    ( xuntil22(s45)
    | node20(s45)
    | ~ until21(s45) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46536,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46540,plain,
    ( until21(s46)
    | ~ xuntil22(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_46536]) ).

tcf(c_46541,plain,
    ( xuntil22(s46)
    | node20(s46)
    | ~ until21(s46) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46543,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46547,plain,
    ( until21(s47)
    | ~ xuntil22(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_46543]) ).

tcf(c_46548,plain,
    ( xuntil22(s47)
    | node20(s47)
    | ~ until21(s47) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46550,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46554,plain,
    ( until21(s48)
    | ~ xuntil22(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_46550]) ).

tcf(c_46555,plain,
    ( xuntil22(s48)
    | node20(s48)
    | ~ until21(s48) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46557,plain,
    ( always19(s48)
    | ~ node20(s48) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46560,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s48)
      | ~ trans(s48,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46565,plain,
    ( always19(s21)
    | ~ node20(s21) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46568,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s21)
      | ~ trans(s21,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46572,plain,
    ( always19(s22)
    | ~ always19(s21)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_46568]) ).

tcf(c_46575,plain,
    ( ~ always19(s22)
    | ~ m_main_v_state1(s22,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46578,plain,
    ( always19(s20)
    | ~ node20(s20) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46581,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s20)
      | ~ trans(s20,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46585,plain,
    ( always19(s21)
    | ~ always19(s20)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_46581]) ).

tcf(c_46603,plain,
    ( always19(s24)
    | ~ node20(s24) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46604,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s24)
      | ~ trans(s24,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46610,plain,
    ( always19(s25)
    | ~ always19(s24)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_46604]) ).

tcf(c_46611,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s25)
      | ~ trans(s25,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46615,plain,
    ( always19(s26)
    | ~ always19(s25)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_46611]) ).

tcf(c_46618,plain,
    ( ~ always19(s26)
    | ~ m_main_v_state1(s26,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46625,plain,
    ( always19(s25)
    | ~ node20(s25) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46641,plain,
    ( always19(s28)
    | ~ node20(s28) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46642,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s28)
      | ~ trans(s28,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46648,plain,
    ( always19(s29)
    | ~ always19(s28)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_46642]) ).

tcf(c_46649,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s29)
      | ~ trans(s29,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46653,plain,
    ( always19(s30)
    | ~ always19(s29)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_46649]) ).

tcf(c_46656,plain,
    ( ~ always19(s30)
    | ~ m_main_v_state1(s30,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46663,plain,
    ( always19(s29)
    | ~ node20(s29) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46679,plain,
    ( always19(s32)
    | ~ node20(s32) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46682,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s32)
      | ~ trans(s32,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46686,plain,
    ( always19(s33)
    | ~ always19(s32)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_46682]) ).

tcf(c_46687,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s33)
      | ~ trans(s33,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46691,plain,
    ( always19(s34)
    | ~ always19(s33)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_46687]) ).

tcf(c_46694,plain,
    ( ~ always19(s34)
    | ~ m_main_v_state1(s34,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46701,plain,
    ( always19(s33)
    | ~ node20(s33) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46717,plain,
    ( always19(s36)
    | ~ node20(s36) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46720,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s36)
      | ~ trans(s36,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46724,plain,
    ( always19(s37)
    | ~ always19(s36)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_46720]) ).

tcf(c_46725,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s37)
      | ~ trans(s37,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46729,plain,
    ( always19(s38)
    | ~ always19(s37)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_46725]) ).

tcf(c_46732,plain,
    ( ~ always19(s38)
    | ~ m_main_v_state1(s38,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46739,plain,
    ( always19(s37)
    | ~ node20(s37) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46756,plain,
    ( always19(s40)
    | ~ node20(s40) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46759,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s40)
      | ~ trans(s40,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46763,plain,
    ( always19(s41)
    | ~ always19(s40)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_46759]) ).

tcf(c_46764,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s41)
      | ~ trans(s41,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46768,plain,
    ( always19(s42)
    | ~ always19(s41)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_46764]) ).

tcf(c_46771,plain,
    ( ~ always19(s42)
    | ~ m_main_v_state1(s42,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46778,plain,
    ( always19(s41)
    | ~ node20(s41) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46795,plain,
    ( always19(s44)
    | ~ node20(s44) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46798,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s44)
      | ~ trans(s44,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46802,plain,
    ( always19(s45)
    | ~ always19(s44)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_46798]) ).

tcf(c_46803,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s45)
      | ~ trans(s45,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46807,plain,
    ( always19(s46)
    | ~ always19(s45)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_46803]) ).

tcf(c_46810,plain,
    ( ~ always19(s46)
    | ~ m_main_v_state1(s46,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46817,plain,
    ( always19(s45)
    | ~ node20(s45) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46834,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46838,plain,
    ( until21(s49)
    | ~ xuntil22(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_46834]) ).

tcf(c_46839,plain,
    ( xuntil22(s49)
    | node20(s49)
    | ~ until21(s49) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46841,plain,
    ( always19(s49)
    | ~ node20(s49) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46845,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s49)
      | ~ trans(s49,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46854,plain,
    ( always19(s49)
    | ~ always19(s48)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_46560]) ).

tcf(c_46858,plain,
    ( always19(s50)
    | ~ always19(s49)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_46845]) ).

tcf(c_46861,plain,
    ( ~ always19(s50)
    | ~ m_main_v_state1(s50,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46868,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46872,plain,
    ( until21(s50)
    | ~ xuntil22(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_46868]) ).

tcf(c_46873,plain,
    ( xuntil22(s50)
    | node20(s50)
    | ~ until21(s50) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46875,plain,
    ( always19(s50)
    | ~ node20(s50) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46877,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46881,plain,
    ( until21(s51)
    | ~ xuntil22(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_46877]) ).

tcf(c_46882,plain,
    ( xuntil22(s51)
    | node20(s51)
    | ~ until21(s51) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46883,plain,
    ( m_main_v_state1(s51,c_t1)
    | ~ node20(s51) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46886,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46890,plain,
    ( until21(s52)
    | ~ xuntil22(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_46886]) ).

tcf(c_46891,plain,
    ( xuntil22(s52)
    | node20(s52)
    | ~ until21(s52) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46893,plain,
    ( always19(s52)
    | ~ node20(s52) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46894,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s52)
      | ~ trans(s52,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46901,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46905,plain,
    ( until21(s53)
    | ~ xuntil22(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_46901]) ).

tcf(c_46906,plain,
    ( xuntil22(s53)
    | node20(s53)
    | ~ until21(s53) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46908,plain,
    ( always19(s53)
    | ~ node20(s53) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46911,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s53)
      | ~ trans(s53,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46916,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46920,plain,
    ( until21(s54)
    | ~ xuntil22(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_46916]) ).

tcf(c_46921,plain,
    ( xuntil22(s54)
    | node20(s54)
    | ~ until21(s54) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46922,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node20(s54) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46929,plain,
    ( always19(s53)
    | ~ always19(s52)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_46894]) ).

tcf(c_46933,plain,
    ( always19(s54)
    | ~ always19(s53)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_46911]) ).

tcf(c_46936,plain,
    ( ~ always19(s54)
    | ~ m_main_v_state1(s54,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46947,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46951,plain,
    ( until21(s55)
    | ~ xuntil22(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_46947]) ).

tcf(c_46952,plain,
    ( xuntil22(s55)
    | node20(s55)
    | ~ until21(s55) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46953,plain,
    ( m_main_v_state1(s55,c_t1)
    | ~ node20(s55) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46956,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46960,plain,
    ( until21(s56)
    | ~ xuntil22(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_46956]) ).

tcf(c_46961,plain,
    ( xuntil22(s56)
    | node20(s56)
    | ~ until21(s56) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46963,plain,
    ( always19(s56)
    | ~ node20(s56) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46966,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s56)
      | ~ trans(s56,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46971,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46975,plain,
    ( until21(s57)
    | ~ xuntil22(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_46971]) ).

tcf(c_46976,plain,
    ( xuntil22(s57)
    | node20(s57)
    | ~ until21(s57) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46978,plain,
    ( always19(s57)
    | ~ node20(s57) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46981,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s57)
      | ~ trans(s57,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46990,plain,
    ( always19(s57)
    | ~ always19(s56)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_46966]) ).

tcf(c_46994,plain,
    ( always19(s58)
    | ~ always19(s57)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_46981]) ).

tcf(c_46997,plain,
    ( ~ always19(s58)
    | ~ m_main_v_state1(s58,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47004,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47008,plain,
    ( until21(s58)
    | ~ xuntil22(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_47004]) ).

tcf(c_47009,plain,
    ( xuntil22(s58)
    | node20(s58)
    | ~ until21(s58) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47011,plain,
    ( always19(s58)
    | ~ node20(s58) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47013,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47017,plain,
    ( until21(s59)
    | ~ xuntil22(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_47013]) ).

tcf(c_47018,plain,
    ( xuntil22(s59)
    | node20(s59)
    | ~ until21(s59) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47019,plain,
    ( m_main_v_state1(s59,c_t1)
    | ~ node20(s59) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47026,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s59)
      | ~ succ(s59,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47030,plain,
    ( until21(s60)
    | ~ xuntil22(s59)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_47026]) ).

tcf(c_47031,plain,
    ( xuntil22(s60)
    | node20(s60)
    | ~ until21(s60) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47033,plain,
    ( always19(s60)
    | ~ node20(s60) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47037,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s60)
      | ~ trans(s60,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47041,plain,
    ( always19(s61)
    | ~ always19(s60)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_47037]) ).

tcf(c_47042,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s61)
      | ~ trans(s61,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47046,plain,
    ( always19(s62)
    | ~ always19(s61)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_47042]) ).

tcf(c_47049,plain,
    ( ~ always19(s62)
    | ~ m_main_v_state1(s62,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47052,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s60)
      | ~ succ(s60,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47056,plain,
    ( until21(s61)
    | ~ xuntil22(s60)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_47052]) ).

tcf(c_47057,plain,
    ( xuntil22(s61)
    | node20(s61)
    | ~ until21(s61) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47059,plain,
    ( always19(s61)
    | ~ node20(s61) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47063,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s61)
      | ~ succ(s61,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47067,plain,
    ( until21(s62)
    | ~ xuntil22(s61)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_47063]) ).

tcf(c_47068,plain,
    ( xuntil22(s62)
    | node20(s62)
    | ~ until21(s62) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47070,plain,
    ( always19(s62)
    | ~ node20(s62) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47072,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s62)
      | ~ succ(s62,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47076,plain,
    ( until21(s63)
    | ~ xuntil22(s62)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_47072]) ).

tcf(c_47077,plain,
    ( xuntil22(s63)
    | node20(s63)
    | ~ until21(s63) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47078,plain,
    ( m_main_v_state1(s63,c_t1)
    | ~ node20(s63) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47081,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s63)
      | ~ succ(s63,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47085,plain,
    ( until21(s64)
    | ~ xuntil22(s63)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_47081]) ).

tcf(c_47086,plain,
    ( xuntil22(s64)
    | node20(s64)
    | ~ until21(s64) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47088,plain,
    ( always19(s64)
    | ~ node20(s64) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47092,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s64)
      | ~ trans(s64,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47097,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s64)
      | ~ succ(s64,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47101,plain,
    ( until21(s65)
    | ~ xuntil22(s64)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_47097]) ).

tcf(c_47102,plain,
    ( xuntil22(s65)
    | node20(s65)
    | ~ until21(s65) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47104,plain,
    ( always19(s65)
    | ~ node20(s65) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47107,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s65)
      | ~ trans(s65,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47111,plain,
    ( always19(s66)
    | ~ always19(s65)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_47107]) ).

tcf(c_47114,plain,
    ( ~ always19(s66)
    | ~ m_main_v_state1(s66,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47117,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s65)
      | ~ succ(s65,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47121,plain,
    ( until21(s66)
    | ~ xuntil22(s65)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_47117]) ).

tcf(c_47122,plain,
    ( xuntil22(s66)
    | node20(s66)
    | ~ until21(s66) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47124,plain,
    ( always19(s66)
    | ~ node20(s66) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47130,plain,
    ( always19(s65)
    | ~ always19(s64)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_47092]) ).

tcf(c_47140,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s66)
      | ~ succ(s66,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47144,plain,
    ( until21(s67)
    | ~ xuntil22(s66)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_47140]) ).

tcf(c_47145,plain,
    ( xuntil22(s67)
    | node20(s67)
    | ~ until21(s67) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47146,plain,
    ( m_main_v_state1(s67,c_t1)
    | ~ node20(s67) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47153,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s67)
      | ~ succ(s67,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47157,plain,
    ( until21(s68)
    | ~ xuntil22(s67)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_47153]) ).

tcf(c_47158,plain,
    ( xuntil22(s68)
    | node20(s68)
    | ~ until21(s68) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47160,plain,
    ( always19(s68)
    | ~ node20(s68) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47163,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s68)
      | ~ trans(s68,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47167,plain,
    ( always19(s69)
    | ~ always19(s68)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_47163]) ).

tcf(c_47168,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s69)
      | ~ trans(s69,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47172,plain,
    ( always19(s70)
    | ~ always19(s69)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_47168]) ).

tcf(c_47175,plain,
    ( ~ always19(s70)
    | ~ m_main_v_state1(s70,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47178,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s68)
      | ~ succ(s68,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47182,plain,
    ( until21(s69)
    | ~ xuntil22(s68)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_47178]) ).

tcf(c_47183,plain,
    ( xuntil22(s69)
    | node20(s69)
    | ~ until21(s69) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47185,plain,
    ( always19(s69)
    | ~ node20(s69) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47190,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s69)
      | ~ succ(s69,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47194,plain,
    ( until21(s70)
    | ~ xuntil22(s69)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_47190]) ).

tcf(c_47195,plain,
    ( xuntil22(s70)
    | node20(s70)
    | ~ until21(s70) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47197,plain,
    ( always19(s70)
    | ~ node20(s70) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47199,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s70)
      | ~ succ(s70,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47203,plain,
    ( until21(s71)
    | ~ xuntil22(s70)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_47199]) ).

tcf(c_47204,plain,
    ( xuntil22(s71)
    | node20(s71)
    | ~ until21(s71) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47205,plain,
    ( m_main_v_state1(s71,c_t1)
    | ~ node20(s71) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47208,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s71)
      | ~ succ(s71,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47212,plain,
    ( until21(s72)
    | ~ xuntil22(s71)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_47208]) ).

tcf(c_47213,plain,
    ( xuntil22(s72)
    | node20(s72)
    | ~ until21(s72) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47215,plain,
    ( always19(s72)
    | ~ node20(s72) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47218,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s72)
      | ~ trans(s72,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47223,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s72)
      | ~ succ(s72,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47227,plain,
    ( until21(s73)
    | ~ xuntil22(s72)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_47223]) ).

tcf(c_47228,plain,
    ( xuntil22(s73)
    | node20(s73)
    | ~ until21(s73) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47230,plain,
    ( always19(s73)
    | ~ node20(s73) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47233,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s73)
      | ~ trans(s73,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47242,plain,
    ( always19(s73)
    | ~ always19(s72)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_47218]) ).

tcf(c_47246,plain,
    ( always19(s74)
    | ~ always19(s73)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_47233]) ).

tcf(c_47249,plain,
    ( ~ always19(s74)
    | ~ m_main_v_state1(s74,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47256,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s73)
      | ~ succ(s73,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47260,plain,
    ( until21(s74)
    | ~ xuntil22(s73)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_47256]) ).

tcf(c_47261,plain,
    ( xuntil22(s74)
    | node20(s74)
    | ~ until21(s74) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47263,plain,
    ( always19(s74)
    | ~ node20(s74) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47265,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s74)
      | ~ succ(s74,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47269,plain,
    ( until21(s75)
    | ~ xuntil22(s74)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_47265]) ).

tcf(c_47270,plain,
    ( xuntil22(s75)
    | node20(s75)
    | ~ until21(s75) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47271,plain,
    ( m_main_v_state1(s75,c_t1)
    | ~ node20(s75) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47274,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s75)
      | ~ succ(s75,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47278,plain,
    ( until21(s76)
    | ~ xuntil22(s75)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_47274]) ).

tcf(c_47279,plain,
    ( xuntil22(s76)
    | node20(s76)
    | ~ until21(s76) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47281,plain,
    ( always19(s76)
    | ~ node20(s76) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47284,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s76)
      | ~ trans(s76,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47289,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s76)
      | ~ succ(s76,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47293,plain,
    ( until21(s77)
    | ~ xuntil22(s76)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_47289]) ).

tcf(c_47294,plain,
    ( xuntil22(s77)
    | node20(s77)
    | ~ until21(s77) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47296,plain,
    ( always19(s77)
    | ~ node20(s77) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47299,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s77)
      | ~ trans(s77,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47308,plain,
    ( always19(s77)
    | ~ always19(s76)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_47284]) ).

tcf(c_47314,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s77)
      | ~ succ(s77,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47318,plain,
    ( until21(s78)
    | ~ xuntil22(s77)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_47314]) ).

tcf(c_47319,plain,
    ( xuntil22(s78)
    | node20(s78)
    | ~ until21(s78) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47320,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node20(s78) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47323,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s78)
      | ~ succ(s78,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47327,plain,
    ( until21(s79)
    | ~ xuntil22(s78)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_47323]) ).

tcf(c_47328,plain,
    ( xuntil22(s79)
    | node20(s79)
    | ~ until21(s79) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47329,plain,
    ( m_main_v_state1(s79,c_t1)
    | ~ node20(s79) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47332,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s79)
      | ~ succ(s79,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47336,plain,
    ( until21(s80)
    | ~ xuntil22(s79)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_47332]) ).

tcf(c_47337,plain,
    ( xuntil22(s80)
    | node20(s80)
    | ~ until21(s80) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47339,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s80)
      | ~ succ(s80,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47343,plain,
    ( until21(s81)
    | ~ xuntil22(s80)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_47339]) ).

tcf(c_47344,plain,
    ( xuntil22(s81)
    | node20(s81)
    | ~ until21(s81) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47346,plain,
    ( always19(s81)
    | ~ node20(s81) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47350,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s81)
      | ~ trans(s81,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47355,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s81)
      | ~ succ(s81,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47359,plain,
    ( until21(s82)
    | ~ xuntil22(s81)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_47355]) ).

tcf(c_47360,plain,
    ( xuntil22(s82)
    | node20(s82)
    | ~ until21(s82) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47361,plain,
    ( m_main_v_state1(s82,c_t1)
    | ~ node20(s82) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47364,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s82)
      | ~ succ(s82,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47368,plain,
    ( until21(s83)
    | ~ xuntil22(s82)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_47364]) ).

tcf(c_47369,plain,
    ( xuntil22(s83)
    | node20(s83)
    | ~ until21(s83) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47370,plain,
    ( m_main_v_state1(s83,c_t1)
    | ~ node20(s83) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47377,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s83)
      | ~ succ(s83,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47381,plain,
    ( until21(s84)
    | ~ xuntil22(s83)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_47377]) ).

tcf(c_47382,plain,
    ( xuntil22(s84)
    | node20(s84)
    | ~ until21(s84) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47384,plain,
    ( always19(s84)
    | ~ node20(s84) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47388,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s84)
      | ~ trans(s84,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47393,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s84)
      | ~ succ(s84,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47397,plain,
    ( until21(s85)
    | ~ xuntil22(s84)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_47393]) ).

tcf(c_47398,plain,
    ( xuntil22(s85)
    | node20(s85)
    | ~ until21(s85) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47400,plain,
    ( always19(s85)
    | ~ node20(s85) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47411,plain,
    ( always19(s78)
    | ~ always19(s77)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_47299]) ).

tcf(c_47414,plain,
    ( ~ always19(s78)
    | ~ m_main_v_state1(s78,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47441,plain,
    ( always19(s82)
    | ~ always19(s81)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_47350]) ).

tcf(c_47444,plain,
    ( ~ always19(s82)
    | ~ m_main_v_state1(s82,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47447,plain,
    ( always19(s80)
    | ~ node20(s80) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47451,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s80)
      | ~ trans(s80,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47455,plain,
    ( always19(s81)
    | ~ always19(s80)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_47451]) ).

tcf(c_47477,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s85)
      | ~ succ(s85,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47481,plain,
    ( until21(s86)
    | ~ xuntil22(s85)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_47477]) ).

tcf(c_47482,plain,
    ( xuntil22(s86)
    | node20(s86)
    | ~ until21(s86) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47483,plain,
    ( m_main_v_state1(s86,c_t1)
    | ~ node20(s86) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47487,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s85)
      | ~ trans(s85,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47491,plain,
    ( always19(s86)
    | ~ always19(s85)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_47487]) ).

tcf(c_47494,plain,
    ( ~ always19(s86)
    | ~ m_main_v_state1(s86,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47501,plain,
    ( always19(s85)
    | ~ always19(s84)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_47388]) ).

tcf(c_47511,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s86)
      | ~ succ(s86,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47515,plain,
    ( until21(s87)
    | ~ xuntil22(s86)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_47511]) ).

tcf(c_47516,plain,
    ( xuntil22(s87)
    | node20(s87)
    | ~ until21(s87) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47517,plain,
    ( m_main_v_state1(s87,c_t1)
    | ~ node20(s87) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47520,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s87)
      | ~ succ(s87,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47524,plain,
    ( until21(s88)
    | ~ xuntil22(s87)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_47520]) ).

tcf(c_47525,plain,
    ( xuntil22(s88)
    | node20(s88)
    | ~ until21(s88) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47527,plain,
    ( always19(s88)
    | ~ node20(s88) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47531,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s88)
      | ~ trans(s88,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47536,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s88)
      | ~ succ(s88,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47540,plain,
    ( until21(s89)
    | ~ xuntil22(s88)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_47536]) ).

tcf(c_47541,plain,
    ( xuntil22(s89)
    | node20(s89)
    | ~ until21(s89) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47543,plain,
    ( always19(s89)
    | ~ node20(s89) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47546,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s89)
      | ~ trans(s89,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47550,plain,
    ( always19(s90)
    | ~ always19(s89)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_47546]) ).

tcf(c_47553,plain,
    ( ~ always19(s90)
    | ~ m_main_v_state1(s90,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47556,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s89)
      | ~ succ(s89,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47560,plain,
    ( until21(s90)
    | ~ xuntil22(s89)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_47556]) ).

tcf(c_47561,plain,
    ( xuntil22(s90)
    | node20(s90)
    | ~ until21(s90) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47563,plain,
    ( always19(s90)
    | ~ node20(s90) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47565,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s90)
      | ~ succ(s90,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47569,plain,
    ( until21(s91)
    | ~ xuntil22(s90)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_47565]) ).

tcf(c_47570,plain,
    ( xuntil22(s91)
    | node20(s91)
    | ~ until21(s91) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47571,plain,
    ( m_main_v_state1(s91,c_t1)
    | ~ node20(s91) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47574,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s91)
      | ~ succ(s91,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47578,plain,
    ( until21(s92)
    | ~ xuntil22(s91)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_47574]) ).

tcf(c_47579,plain,
    ( xuntil22(s92)
    | node20(s92)
    | ~ until21(s92) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47581,plain,
    ( always19(s92)
    | ~ node20(s92) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47585,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s92)
      | ~ trans(s92,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47589,plain,
    ( always19(s93)
    | ~ always19(s92)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_47585]) ).

tcf(c_47590,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s93)
      | ~ trans(s93,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47594,plain,
    ( always19(s94)
    | ~ always19(s93)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_47590]) ).

tcf(c_47597,plain,
    ( ~ always19(s94)
    | ~ m_main_v_state1(s94,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47600,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s92)
      | ~ succ(s92,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47604,plain,
    ( until21(s93)
    | ~ xuntil22(s92)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_47600]) ).

tcf(c_47605,plain,
    ( xuntil22(s93)
    | node20(s93)
    | ~ until21(s93) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47607,plain,
    ( always19(s93)
    | ~ node20(s93) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47615,plain,
    ( always19(s89)
    | ~ always19(s88)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_47531]) ).

tcf(c_47637,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s93)
      | ~ succ(s93,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47641,plain,
    ( until21(s94)
    | ~ xuntil22(s93)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_47637]) ).

tcf(c_47642,plain,
    ( xuntil22(s94)
    | node20(s94)
    | ~ until21(s94) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47644,plain,
    ( always19(s94)
    | ~ node20(s94) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47646,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s94)
      | ~ succ(s94,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47650,plain,
    ( until21(s95)
    | ~ xuntil22(s94)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_47646]) ).

tcf(c_47651,plain,
    ( xuntil22(s95)
    | node20(s95)
    | ~ until21(s95) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47652,plain,
    ( m_main_v_state1(s95,c_t1)
    | ~ node20(s95) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47655,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s95)
      | ~ succ(s95,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47659,plain,
    ( until21(s96)
    | ~ xuntil22(s95)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_47655]) ).

tcf(c_47660,plain,
    ( xuntil22(s96)
    | node20(s96)
    | ~ until21(s96) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47662,plain,
    ( always19(s96)
    | ~ node20(s96) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47665,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s96)
      | ~ trans(s96,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47670,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s96)
      | ~ succ(s96,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47674,plain,
    ( until21(s97)
    | ~ xuntil22(s96)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_47670]) ).

tcf(c_47675,plain,
    ( xuntil22(s97)
    | node20(s97)
    | ~ until21(s97) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47677,plain,
    ( always19(s97)
    | ~ node20(s97) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47681,plain,
    ! [X0: $i] :
      ( always19(X0)
      | ~ always19(s97)
      | ~ trans(s97,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47690,plain,
    ( always19(s97)
    | ~ always19(s96)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_47665]) ).

tcf(c_47694,plain,
    ( always19(s98)
    | ~ always19(s97)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_47681]) ).

tcf(c_47697,plain,
    ( ~ always19(s98)
    | ~ m_main_v_state1(s98,c_c1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47704,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s97)
      | ~ succ(s97,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47708,plain,
    ( until21(s98)
    | ~ xuntil22(s97)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_47704]) ).

tcf(c_47709,plain,
    ( xuntil22(s98)
    | node20(s98)
    | ~ until21(s98) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47710,plain,
    ( m_main_v_state1(s98,c_t1)
    | ~ node20(s98) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_47713,plain,
    ! [X0: $i] :
      ( until21(X0)
      | ~ xuntil22(s98)
      | ~ succ(s98,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47715,plain,
    ( until21(s99)
    | ~ xuntil22(s98)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_47713]) ).

tcf(c_47819,plain,
    ( node7(s99,s0)
    | ~ trans(s99,s0) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47822,plain,
    ( node18(s99,s1)
    | ~ trans(s99,s1) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47829,plain,
    ( node7(s99,s3)
    | ~ trans(s99,s3) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47833,plain,
    ( node14(s99,s5)
    | ~ trans(s99,s5) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47835,plain,
    ( xuntil2p24(s5)
    | node20(s5)
    | ~ until2p23(s5) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47839,plain,
    ( node7(s99,s15)
    | ~ trans(s99,s15) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47840,plain,
    ( xuntil2p24(s15)
    | node20(s15)
    | ~ until2p23(s15) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47843,plain,
    ( node14(s99,s33)
    | ~ trans(s99,s33) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47845,plain,
    ( xuntil2p24(s33)
    | node20(s33)
    | ~ until2p23(s33) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47846,plain,
    ( until2p23(s52)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s52) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47850,plain,
    ( xuntil2p24(s52)
    | node20(s52)
    | ~ until2p23(s52) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47853,plain,
    ( node14(s99,s53)
    | ~ trans(s99,s53) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47855,plain,
    ( xuntil2p24(s53)
    | node20(s53)
    | ~ until2p23(s53) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47857,plain,
    ( node18(s99,s54)
    | ~ trans(s99,s54) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47860,plain,
    ( xuntil2p24(s54)
    | node20(s54)
    | ~ until2p23(s54) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47862,plain,
    ( node18(s99,s67)
    | ~ trans(s99,s67) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47865,plain,
    ( xuntil2p24(s67)
    | node20(s67)
    | ~ until2p23(s67) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47866,plain,
    ( until2p23(s68)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s68) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47870,plain,
    ( xuntil2p24(s68)
    | node20(s68)
    | ~ until2p23(s68) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47873,plain,
    ( node14(s99,s81)
    | ~ trans(s99,s81) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47875,plain,
    ( xuntil2p24(s81)
    | node20(s81)
    | ~ until2p23(s81) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47878,plain,
    ( node14(s99,s97)
    | ~ trans(s99,s97) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47880,plain,
    ( xuntil2p24(s97)
    | node20(s97)
    | ~ until2p23(s97) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47883,plain,
    ( node14(s99,s9)
    | ~ trans(s99,s9) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47885,plain,
    ( xuntil2p24(s9)
    | node20(s9)
    | ~ until2p23(s9) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47889,plain,
    ( node7(s99,s19)
    | ~ trans(s99,s19) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47890,plain,
    ( until2p23(s56)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s56) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47894,plain,
    ( xuntil2p24(s56)
    | node20(s56)
    | ~ until2p23(s56) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47895,plain,
    ( until2p23(s84)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s84) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47899,plain,
    ( xuntil2p24(s84)
    | node20(s84)
    | ~ until2p23(s84) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47900,plain,
    ( until2p23(s20)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s20) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47904,plain,
    ( xuntil2p24(s20)
    | node20(s20)
    | ~ until2p23(s20) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47908,plain,
    ( node7(s99,s11)
    | ~ trans(s99,s11) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47909,plain,
    ( xuntil2p24(s11)
    | node20(s11)
    | ~ until2p23(s11) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47913,plain,
    ( node7(s99,s14)
    | ~ trans(s99,s14) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47914,plain,
    ( xuntil2p24(s14)
    | node20(s14)
    | ~ until2p23(s14) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47915,plain,
    ( until2p23(s40)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s40) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47919,plain,
    ( xuntil2p24(s40)
    | node20(s40)
    | ~ until2p23(s40) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47920,plain,
    ( until2p23(s96)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s96) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47924,plain,
    ( xuntil2p24(s96)
    | node20(s96)
    | ~ until2p23(s96) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47928,plain,
    ( node7(s99,s38)
    | ~ trans(s99,s38) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47931,plain,
    ( node14(s99,s25)
    | ~ trans(s99,s25) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47933,plain,
    ( xuntil2p24(s25)
    | node20(s25)
    | ~ until2p23(s25) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47934,plain,
    ( until2p23(s16)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s16) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47938,plain,
    ( xuntil2p24(s16)
    | node20(s16)
    | ~ until2p23(s16) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47940,plain,
    ( node18(s99,s98)
    | ~ trans(s99,s98) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47943,plain,
    ( xuntil2p24(s98)
    | node20(s98)
    | ~ until2p23(s98) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47945,plain,
    ( node18(s99,s78)
    | ~ trans(s99,s78) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47948,plain,
    ( xuntil2p24(s78)
    | node20(s78)
    | ~ until2p23(s78) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47952,plain,
    ( node7(s99,s35)
    | ~ trans(s99,s35) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47953,plain,
    ( xuntil2p24(s35)
    | node20(s35)
    | ~ until2p23(s35) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47954,plain,
    ( until2p23(s36)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s36) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47958,plain,
    ( xuntil2p24(s36)
    | node20(s36)
    | ~ until2p23(s36) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47962,plain,
    ( node7(s99,s47)
    | ~ trans(s99,s47) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47963,plain,
    ( xuntil2p24(s47)
    | node20(s47)
    | ~ until2p23(s47) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47964,plain,
    ( until2p23(s72)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s72) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47971,plain,
    ( node7(s99,s46)
    | ~ trans(s99,s46) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47972,plain,
    ( xuntil2p24(s46)
    | node20(s46)
    | ~ until2p23(s46) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47974,plain,
    ( node18(s99,s74)
    | ~ trans(s99,s74) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47977,plain,
    ( xuntil2p24(s74)
    | node20(s74)
    | ~ until2p23(s74) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47978,plain,
    ( until2p23(s12)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s12) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_47982,plain,
    ( xuntil2p24(s12)
    | node20(s12)
    | ~ until2p23(s12) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47986,plain,
    ( node7(s99,s10)
    | ~ trans(s99,s10) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47987,plain,
    ( xuntil2p24(s10)
    | node20(s10)
    | ~ until2p23(s10) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47989,plain,
    ( node18(s99,s51)
    | ~ trans(s99,s51) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47992,plain,
    ( xuntil2p24(s51)
    | node20(s51)
    | ~ until2p23(s51) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_47994,plain,
    ( node18(s99,s59)
    | ~ trans(s99,s59) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47997,plain,
    ( xuntil2p24(s59)
    | node20(s59)
    | ~ until2p23(s59) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48000,plain,
    ( node14(s99,s93)
    | ~ trans(s99,s93) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_48002,plain,
    ( xuntil2p24(s93)
    | node20(s93)
    | ~ until2p23(s93) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48005,plain,
    ( node14(s99,s49)
    | ~ trans(s99,s49) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_48008,plain,
    ( node18(s99,s90)
    | ~ trans(s99,s90) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48011,plain,
    ( xuntil2p24(s90)
    | node20(s90)
    | ~ until2p23(s90) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48013,plain,
    ( node18(s99,s71)
    | ~ trans(s99,s71) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48016,plain,
    ( xuntil2p24(s71)
    | node20(s71)
    | ~ until2p23(s71) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48018,plain,
    ( node18(s99,s70)
    | ~ trans(s99,s70) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48021,plain,
    ( xuntil2p24(s70)
    | node20(s70)
    | ~ until2p23(s70) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48022,plain,
    ( until2p23(s28)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s28) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48026,plain,
    ( xuntil2p24(s28)
    | node20(s28)
    | ~ until2p23(s28) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48028,plain,
    ( node18(s99,s55)
    | ~ trans(s99,s55) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48031,plain,
    ( xuntil2p24(s55)
    | node20(s55)
    | ~ until2p23(s55) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48033,plain,
    ( node18(s99,s91)
    | ~ trans(s99,s91) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48036,plain,
    ( xuntil2p24(s91)
    | node20(s91)
    | ~ until2p23(s91) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48037,plain,
    ( until2p23(s80)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s80) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48041,plain,
    ( xuntil2p24(s80)
    | node20(s80)
    | ~ until2p23(s80) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48045,plain,
    ( node7(s99,s30)
    | ~ trans(s99,s30) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_48046,plain,
    ( until2p23(s8)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s8) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48050,plain,
    ( xuntil2p24(s8)
    | node20(s8)
    | ~ until2p23(s8) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48052,plain,
    ( node18(s99,s66)
    | ~ trans(s99,s66) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48055,plain,
    ( xuntil2p24(s66)
    | node20(s66)
    | ~ until2p23(s66) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48057,plain,
    ( node18(s99,s79)
    | ~ trans(s99,s79) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48060,plain,
    ( xuntil2p24(s79)
    | node20(s79)
    | ~ until2p23(s79) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48061,plain,
    ( until2p23(s44)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s44) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48065,plain,
    ( xuntil2p24(s44)
    | node20(s44)
    | ~ until2p23(s44) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48068,plain,
    ( node14(s99,s69)
    | ~ trans(s99,s69) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_48070,plain,
    ( xuntil2p24(s69)
    | node20(s69)
    | ~ until2p23(s69) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48074,plain,
    ( node7(s99,s2)
    | ~ trans(s99,s2) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_48079,plain,
    ( node7(s99,s6)
    | ~ trans(s99,s6) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_48080,plain,
    ( xuntil2p24(s6)
    | node20(s6)
    | ~ until2p23(s6) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48084,plain,
    ( node7(s99,s7)
    | ~ trans(s99,s7) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_48087,plain,
    ( node14(s99,s57)
    | ~ trans(s99,s57) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_48089,plain,
    ( xuntil2p24(s57)
    | node20(s57)
    | ~ until2p23(s57) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48091,plain,
    ( node18(s99,s58)
    | ~ trans(s99,s58) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48094,plain,
    ( xuntil2p24(s58)
    | node20(s58)
    | ~ until2p23(s58) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48095,plain,
    ( until2p23(s60)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s60) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48099,plain,
    ( xuntil2p24(s60)
    | node20(s60)
    | ~ until2p23(s60) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48101,plain,
    ( node18(s99,s63)
    | ~ trans(s99,s63) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48104,plain,
    ( xuntil2p24(s63)
    | node20(s63)
    | ~ until2p23(s63) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48106,plain,
    ( node18(s99,s82)
    | ~ trans(s99,s82) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48109,plain,
    ( xuntil2p24(s82)
    | node20(s82)
    | ~ until2p23(s82) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48111,plain,
    ( node18(s99,s94)
    | ~ trans(s99,s94) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_48114,plain,
    ( xuntil2p24(s94)
    | node20(s94)
    | ~ until2p23(s94) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48115,plain,
    ( until2p23(s4)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s4) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48119,plain,
    ( xuntil2p24(s4)
    | node20(s4)
    | ~ until2p23(s4) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48122,plain,
    ( node14(s99,s13)
    | ~ trans(s99,s13) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_48126,plain,
    ( node14(s99,s21)
    | ~ trans(s99,s21) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_48128,plain,
    ( xuntil2p24(s21)
    | node20(s21)
    | ~ until2p23(s21) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48132,plain,
    ( node7(s99,s23)
    | ~ trans(s99,s23) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_48133,plain,
    ( xuntil2p24(s23)
    | node20(s23)
    | ~ until2p23(s23) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48137,plain,
    ( node7(s99,s27)
    | ~ trans(s99,s27) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_48138,plain,
    ( xuntil2p24(s27)
    | node20(s27)
    | ~ until2p23(s27) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48175,plain,
    ( m_main_v_state1(s94,c_t1)
    | ~ node5(s94) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_49216,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49637,plain,
    ( node7(s99,s18)
    | ~ trans(s99,s18) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51015,plain,
    ( xuntil2p24(s18)
    | node20(s18)
    | ~ until2p23(s18) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51016,plain,
    ( until2p23(s28)
    | ~ xuntil2p24(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_49216]) ).

tcf(c_51020,plain,
    ( node7(s99,s22)
    | ~ trans(s99,s22) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51273,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51279,plain,
    ( node7(s99,s26)
    | ~ trans(s99,s26) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51412,plain,
    ( xuntil2p24(s26)
    | node20(s26)
    | ~ until2p23(s26) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51413,plain,
    ( until2p23(s29)
    | ~ xuntil2p24(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_51273]) ).

tcf(c_51416,plain,
    ( node14(s99,s29)
    | ~ trans(s99,s29) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51418,plain,
    ( xuntil2p24(s29)
    | node20(s29)
    | ~ until2p23(s29) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51423,plain,
    ( node7(s99,s31)
    | ~ trans(s99,s31) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51424,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51427,plain,
    ( xuntil2p24(s31)
    | node20(s31)
    | ~ until2p23(s31) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51428,plain,
    ( until2p23(s32)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s32) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51432,plain,
    ( xuntil2p24(s32)
    | node20(s32)
    | ~ until2p23(s32) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51433,plain,
    ( until2p23(s30)
    | ~ xuntil2p24(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_51424]) ).

tcf(c_51436,plain,
    ( node14(s99,s73)
    | ~ trans(s99,s73) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51438,plain,
    ( xuntil2p24(s73)
    | node20(s73)
    | ~ until2p23(s73) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51439,plain,
    ( xuntil2p24(s30)
    | node20(s30)
    | ~ until2p23(s30) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51443,plain,
    ( node7(s99,s34)
    | ~ trans(s99,s34) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51446,plain,
    ( node14(s99,s37)
    | ~ trans(s99,s37) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51448,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51451,plain,
    ( xuntil2p24(s37)
    | node20(s37)
    | ~ until2p23(s37) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51452,plain,
    ( until2p23(s31)
    | ~ xuntil2p24(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_51448]) ).

tcf(c_51456,plain,
    ( node7(s99,s39)
    | ~ trans(s99,s39) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51457,plain,
    ( xuntil2p24(s39)
    | node20(s39)
    | ~ until2p23(s39) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51459,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51465,plain,
    ( node7(s99,s42)
    | ~ trans(s99,s42) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51467,plain,
    ( node18(s99,s95)
    | ~ trans(s99,s95) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51470,plain,
    ( until2p23(s32)
    | ~ xuntil2p24(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_51459]) ).

tcf(c_51471,plain,
    ( xuntil2p24(s95)
    | node20(s95)
    | ~ until2p23(s95) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51473,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51478,plain,
    ( node14(s99,s45)
    | ~ trans(s99,s45) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51480,plain,
    ( xuntil2p24(s45)
    | node20(s45)
    | ~ until2p23(s45) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51481,plain,
    ( until2p23(s33)
    | ~ xuntil2p24(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_51473]) ).

tcf(c_51482,plain,
    ( until2p23(s48)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s48) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51486,plain,
    ( xuntil2p24(s48)
    | node20(s48)
    | ~ until2p23(s48) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51488,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51493,plain,
    ( node14(s99,s17)
    | ~ trans(s99,s17) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51495,plain,
    ( xuntil2p24(s17)
    | node20(s17)
    | ~ until2p23(s17) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51496,plain,
    ( until2p23(s34)
    | ~ xuntil2p24(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_51488]) ).

tcf(c_51497,plain,
    ( until2p23(s24)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s24) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51501,plain,
    ( xuntil2p24(s24)
    | node20(s24)
    | ~ until2p23(s24) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51504,plain,
    ( node14(s99,s41)
    | ~ trans(s99,s41) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51506,plain,
    ( xuntil2p24(s41)
    | node20(s41)
    | ~ until2p23(s41) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51509,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s41,c_c2)
    | ~ node14(s99,s41)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_51819,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51830,plain,
    ( node7(s99,s43)
    | ~ trans(s99,s43) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_51930,plain,
    ( xuntil2p24(s43)
    | node20(s43)
    | ~ until2p23(s43) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51931,plain,
    ( until2p23(s42)
    | ~ xuntil2p24(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_51819]) ).

tcf(c_51933,plain,
    ( node18(s99,s50)
    | ~ trans(s99,s50) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51938,plain,
    ( node14(s99,s61)
    | ~ trans(s99,s61) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51940,plain,
    ( xuntil2p24(s42)
    | node20(s42)
    | ~ until2p23(s42) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51941,plain,
    ( xuntil2p24(s61)
    | node20(s61)
    | ~ until2p23(s61) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51942,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_51945,plain,
    ( until2p23(s64)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s64) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51949,plain,
    ( xuntil2p24(s64)
    | node20(s64)
    | ~ until2p23(s64) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51950,plain,
    ( until2p23(s43)
    | ~ xuntil2p24(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_51942]) ).

tcf(c_51953,plain,
    ( node14(s99,s65)
    | ~ trans(s99,s65) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51955,plain,
    ( xuntil2p24(s65)
    | node20(s65)
    | ~ until2p23(s65) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51957,plain,
    ( node18(s99,s75)
    | ~ trans(s99,s75) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51960,plain,
    ( xuntil2p24(s75)
    | node20(s75)
    | ~ until2p23(s75) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51961,plain,
    ( until2p23(s76)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s76) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51965,plain,
    ( xuntil2p24(s76)
    | node20(s76)
    | ~ until2p23(s76) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51968,plain,
    ( node14(s99,s85)
    | ~ trans(s99,s85) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51970,plain,
    ( xuntil2p24(s85)
    | node20(s85)
    | ~ until2p23(s85) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51972,plain,
    ( node18(s99,s86)
    | ~ trans(s99,s86) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51976,plain,
    ( node18(s99,s87)
    | ~ trans(s99,s87) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51979,plain,
    ( xuntil2p24(s87)
    | node20(s87)
    | ~ until2p23(s87) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51981,plain,
    ( node18(s99,s62)
    | ~ trans(s99,s62) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51984,plain,
    ( xuntil2p24(s62)
    | node20(s62)
    | ~ until2p23(s62) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51987,plain,
    ( node14(s99,s77)
    | ~ trans(s99,s77) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_51989,plain,
    ( xuntil2p24(s77)
    | node20(s77)
    | ~ until2p23(s77) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_51991,plain,
    ( node18(s99,s83)
    | ~ trans(s99,s83) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51994,plain,
    ( until2p23(s88)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s88) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51998,plain,
    ( xuntil2p24(s88)
    | node20(s88)
    | ~ until2p23(s88) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_52001,plain,
    ( node14(s99,s89)
    | ~ trans(s99,s89) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_52003,plain,
    ( xuntil2p24(s89)
    | node20(s89)
    | ~ until2p23(s89) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_52004,plain,
    ( until2p23(s92)
    | ~ xuntil22(s99)
    | ~ last(s99)
    | ~ trans(s99,s92) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_52008,plain,
    ( xuntil2p24(s92)
    | node20(s92)
    | ~ until2p23(s92) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_52014,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s88)
      | ~ succ(s88,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52104,plain,
    ( until2p23(s89)
    | ~ xuntil2p24(s88)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_52014]) ).

tcf(c_52129,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s89)
      | ~ succ(s89,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52134,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s89,c_c2)
    | ~ node14(s99,s89)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_52219,plain,
    ( until2p23(s90)
    | ~ xuntil2p24(s89)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_52129]) ).

tcf(c_52233,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s92)
      | ~ succ(s92,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52323,plain,
    ( until2p23(s93)
    | ~ xuntil2p24(s92)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_52233]) ).

tcf(c_52348,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s77)
      | ~ succ(s77,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52353,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s77,c_c2)
    | ~ node14(s99,s77)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_52446,plain,
    ( until2p23(s78)
    | ~ xuntil2p24(s77)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_52348]) ).

tcf(c_52460,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s85,c_c2)
    | ~ node14(s99,s85)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_52465,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s85)
      | ~ succ(s85,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52549,plain,
    ( until2p23(s86)
    | ~ xuntil2p24(s85)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_52465]) ).

tcf(c_52561,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52566,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s5,c_c2)
    | ~ node14(s99,s5)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_52651,plain,
    ( until2p23(s6)
    | ~ xuntil2p24(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_52561]) ).

tcf(c_52652,plain,
    ( xuntil2p24(s86)
    | node20(s86)
    | ~ until2p23(s86) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_52663,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52777,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s86)
      | ~ succ(s86,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52780,plain,
    ( until2p23(s53)
    | ~ xuntil2p24(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_52663]) ).

tcf(c_52791,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52796,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s53,c_c2)
    | ~ node14(s99,s53)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_52889,plain,
    ( until2p23(s87)
    | ~ xuntil2p24(s86)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_52777]) ).

tcf(c_52890,plain,
    ( until2p23(s54)
    | ~ xuntil2p24(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_52791]) ).

tcf(c_52902,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s68)
      | ~ succ(s68,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53016,plain,
    ( until2p23(s69)
    | ~ xuntil2p24(s68)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_52902]) ).

tcf(c_53018,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s87)
      | ~ succ(s87,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53022,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53052,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s81,c_c2)
    | ~ node14(s99,s81)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_53056,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s81)
      | ~ succ(s81,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53150,plain,
    ( until2p23(s88)
    | ~ xuntil2p24(s87)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_53018]) ).

tcf(c_53156,plain,
    ( until2p23(s55)
    | ~ xuntil2p24(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_53022]) ).

tcf(c_53157,plain,
    ( until2p23(s82)
    | ~ xuntil2p24(s81)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_53056]) ).

tcf(c_53165,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s97)
      | ~ succ(s97,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53170,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s97,c_c2)
    | ~ node14(s99,s97)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_53255,plain,
    ( until2p23(s98)
    | ~ xuntil2p24(s97)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_53165]) ).

tcf(c_53269,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s90)
      | ~ succ(s90,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53277,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53282,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s9,c_c2)
    | ~ node14(s99,s9)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_53367,plain,
    ( until2p23(s91)
    | ~ xuntil2p24(s90)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_53269]) ).

tcf(c_53368,plain,
    ( until2p23(s10)
    | ~ xuntil2p24(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_53277]) ).

tcf(c_53379,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53498,plain,
    ( until2p23(s57)
    | ~ xuntil2p24(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_53379]) ).

tcf(c_53500,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s91)
      | ~ succ(s91,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53524,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s84)
      | ~ succ(s84,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53614,plain,
    ( until2p23(s92)
    | ~ xuntil2p24(s91)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_53500]) ).

tcf(c_53615,plain,
    ( until2p23(s85)
    | ~ xuntil2p24(s84)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_53524]) ).

tcf(c_53645,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53759,plain,
    ( until2p23(s21)
    | ~ xuntil2p24(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_53645]) ).

tcf(c_53764,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s93)
      | ~ succ(s93,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53797,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_53911,plain,
    ( until2p23(s94)
    | ~ xuntil2p24(s93)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_53764]) ).

tcf(c_53912,plain,
    ( until2p23(s41)
    | ~ xuntil2p24(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_53797]) ).

tcf(c_53943,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s96)
      | ~ succ(s96,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54033,plain,
    ( until2p23(s97)
    | ~ xuntil2p24(s96)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_53943]) ).

tcf(c_54035,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s94)
      | ~ succ(s94,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54071,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s93,c_c2)
    | ~ node14(s99,s93)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_54156,plain,
    ( until2p23(s95)
    | ~ xuntil2p24(s94)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_54035]) ).

tcf(c_54170,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54175,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s25,c_c2)
    | ~ node14(s99,s25)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_54260,plain,
    ( until2p23(s26)
    | ~ xuntil2p24(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_54170]) ).

tcf(c_54262,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s95)
      | ~ succ(s95,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54275,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54389,plain,
    ( until2p23(s96)
    | ~ xuntil2p24(s95)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_54262]) ).

tcf(c_54390,plain,
    ( until2p23(s17)
    | ~ xuntil2p24(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_54275]) ).

tcf(c_54401,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54515,plain,
    ( until2p23(s37)
    | ~ xuntil2p24(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_54401]) ).

tcf(c_54528,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s98)
      | ~ succ(s98,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54530,plain,
    ( until2p23(s99)
    | ~ xuntil2p24(s98)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_54528]) ).

tcf(c_54555,plain,
    ( xuntil2p24(s72)
    | node20(s72)
    | ~ until2p23(s72) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_54673,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54793,plain,
    ( until2p23(s13)
    | ~ xuntil2p24(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_54673]) ).

tcf(c_54825,plain,
    ( xuntil2p24(s49)
    | node20(s49)
    | ~ until2p23(s49) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_54828,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s49,c_c2)
    | ~ node14(s99,s49)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_54921,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_54936,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s80)
      | ~ succ(s80,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55034,plain,
    ( until2p23(s50)
    | ~ xuntil2p24(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_54921]) ).

tcf(c_55035,plain,
    ( until2p23(s81)
    | ~ xuntil2p24(s80)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_54936]) ).

tcf(c_55066,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55180,plain,
    ( until2p23(s9)
    | ~ xuntil2p24(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_55066]) ).

tcf(c_55216,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55330,plain,
    ( until2p23(s45)
    | ~ xuntil2p24(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_55216]) ).

tcf(c_55335,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55374,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s69)
      | ~ succ(s69,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55379,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s69,c_c2)
    | ~ node14(s99,s69)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_55472,plain,
    ( until2p23(s11)
    | ~ xuntil2p24(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_55335]) ).

tcf(c_55473,plain,
    ( until2p23(s70)
    | ~ xuntil2p24(s69)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_55374]) ).

tcf(c_55486,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55491,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s57,c_c2)
    | ~ node14(s99,s57)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_55584,plain,
    ( until2p23(s58)
    | ~ xuntil2p24(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_55486]) ).

tcf(c_55586,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55590,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s70)
      | ~ succ(s70,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55603,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s60)
      | ~ succ(s60,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55717,plain,
    ( until2p23(s12)
    | ~ xuntil2p24(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_55586]) ).

tcf(c_55718,plain,
    ( until2p23(s71)
    | ~ xuntil2p24(s70)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_55590]) ).

tcf(c_55719,plain,
    ( until2p23(s61)
    | ~ xuntil2p24(s60)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_55603]) ).

tcf(c_55721,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55753,plain,
    ( xuntil2p24(s13)
    | node20(s13)
    | ~ until2p23(s13) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_55756,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s13,c_c2)
    | ~ node14(s99,s13)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_55841,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55844,plain,
    ( until2p23(s59)
    | ~ xuntil2p24(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_55721]) ).

tcf(c_55846,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s71)
      | ~ succ(s71,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55859,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_55864,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s21,c_c2)
    | ~ node14(s99,s21)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_56150,plain,
    ( until2p23(s14)
    | ~ xuntil2p24(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_55841]) ).

tcf(c_56151,plain,
    ( until2p23(s72)
    | ~ xuntil2p24(s71)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_55846]) ).

tcf(c_56152,plain,
    ( until2p23(s22)
    | ~ xuntil2p24(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_55859]) ).

tcf(c_56154,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s59)
      | ~ succ(s59,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56167,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56436,plain,
    ( until2p23(s60)
    | ~ xuntil2p24(s59)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_56154]) ).

tcf(c_56437,plain,
    ( until2p23(s5)
    | ~ xuntil2p24(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_56167]) ).

tcf(c_56439,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56452,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s73)
      | ~ succ(s73,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56457,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s73,c_c2)
    | ~ node14(s99,s73)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_56553,plain,
    ( until2p23(s15)
    | ~ xuntil2p24(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_56439]) ).

tcf(c_56554,plain,
    ( until2p23(s74)
    | ~ xuntil2p24(s73)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_56452]) ).

tcf(c_56564,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56589,plain,
    ( xuntil2p24(s34)
    | node20(s34)
    | ~ until2p23(s34) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_56701,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56704,plain,
    ( until2p23(s7)
    | ~ xuntil2p24(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_56564]) ).

tcf(c_56706,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56710,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s74)
      | ~ succ(s74,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56756,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s76)
      | ~ succ(s76,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56869,plain,
    ( until2p23(s35)
    | ~ xuntil2p24(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_56701]) ).

tcf(c_56870,plain,
    ( until2p23(s16)
    | ~ xuntil2p24(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_56706]) ).

tcf(c_56871,plain,
    ( until2p23(s75)
    | ~ xuntil2p24(s74)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_56710]) ).

tcf(c_56872,plain,
    ( until2p23(s77)
    | ~ xuntil2p24(s76)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_56756]) ).

tcf(c_56873,plain,
    ( xuntil2p24(s7)
    | node20(s7)
    | ~ until2p23(s7) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_56915,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57023,plain,
    ( until2p23(s49)
    | ~ xuntil2p24(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_56915]) ).

tcf(c_57030,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57037,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57044,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s78)
      | ~ succ(s78,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57085,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s17,c_c2)
    | ~ node14(s99,s17)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_57170,plain,
    ( until2p23(s36)
    | ~ xuntil2p24(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_57030]) ).

tcf(c_57171,plain,
    ( until2p23(s18)
    | ~ xuntil2p24(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_57037]) ).

tcf(c_57172,plain,
    ( until2p23(s79)
    | ~ xuntil2p24(s78)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_57044]) ).

tcf(c_57176,plain,
    ( xuntil2p24(s50)
    | node20(s50)
    | ~ until2p23(s50) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_57191,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s37,c_c2)
    | ~ node14(s99,s37)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_57195,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57287,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57290,plain,
    ( until2p23(s38)
    | ~ xuntil2p24(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_57195]) ).

tcf(c_57296,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57300,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s79)
      | ~ succ(s79,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57314,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s65)
      | ~ succ(s65,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57318,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s65,c_c2)
    | ~ node14(s99,s65)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_57411,plain,
    ( until2p23(s51)
    | ~ xuntil2p24(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_57287]) ).

tcf(c_57412,plain,
    ( until2p23(s19)
    | ~ xuntil2p24(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_57296]) ).

tcf(c_57413,plain,
    ( until2p23(s80)
    | ~ xuntil2p24(s79)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_57300]) ).

tcf(c_57414,plain,
    ( until2p23(s66)
    | ~ xuntil2p24(s65)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_57314]) ).

tcf(c_57415,plain,
    ( xuntil2p24(s38)
    | node20(s38)
    | ~ until2p23(s38) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_57426,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57540,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57543,plain,
    ( until2p23(s25)
    | ~ xuntil2p24(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_57426]) ).

tcf(c_57545,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57548,plain,
    ( xuntil2p24(s19)
    | node20(s19)
    | ~ until2p23(s19) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_57556,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s82)
      | ~ succ(s82,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57560,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s66)
      | ~ succ(s66,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57573,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s61)
      | ~ succ(s61,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57578,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s61,c_c2)
    | ~ node14(s99,s61)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_57671,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57674,plain,
    ( until2p23(s39)
    | ~ xuntil2p24(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_57540]) ).

tcf(c_57675,plain,
    ( until2p23(s52)
    | ~ xuntil2p24(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_57545]) ).

tcf(c_57676,plain,
    ( until2p23(s83)
    | ~ xuntil2p24(s82)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_57556]) ).

tcf(c_57677,plain,
    ( until2p23(s67)
    | ~ xuntil2p24(s66)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_57560]) ).

tcf(c_57678,plain,
    ( until2p23(s62)
    | ~ xuntil2p24(s61)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_57573]) ).

tcf(c_57683,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57696,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57701,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s45,c_c2)
    | ~ node14(s99,s45)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_57794,plain,
    ( until2p23(s20)
    | ~ xuntil2p24(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_57671]) ).

tcf(c_57795,plain,
    ( until2p23(s27)
    | ~ xuntil2p24(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_57683]) ).

tcf(c_57796,plain,
    ( until2p23(s46)
    | ~ xuntil2p24(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_57696]) ).

tcf(c_57798,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57811,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57820,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s67)
      | ~ succ(s67,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57824,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s62)
      | ~ succ(s62,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57832,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s64)
      | ~ succ(s64,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57946,plain,
    ( until2p23(s40)
    | ~ xuntil2p24(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_57798]) ).

tcf(c_57947,plain,
    ( until2p23(s56)
    | ~ xuntil2p24(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_57811]) ).

tcf(c_57948,plain,
    ( until2p23(s68)
    | ~ xuntil2p24(s67)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_57820]) ).

tcf(c_57949,plain,
    ( until2p23(s63)
    | ~ xuntil2p24(s62)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_57824]) ).

tcf(c_57950,plain,
    ( until2p23(s65)
    | ~ xuntil2p24(s64)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_57832]) ).

tcf(c_57956,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_57997,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s29,c_c2)
    | ~ node14(s99,s29)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_58082,plain,
    ( until2p23(s47)
    | ~ xuntil2p24(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_57956]) ).

tcf(c_58093,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_58130,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s72)
      | ~ succ(s72,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_58134,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s63)
      | ~ succ(s63,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_58145,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s33,c_c2)
    | ~ node14(s99,s33)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_58230,plain,
    ( until2p23(s44)
    | ~ xuntil2p24(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_58093]) ).

tcf(c_58231,plain,
    ( until2p23(s73)
    | ~ xuntil2p24(s72)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_58130]) ).

tcf(c_58232,plain,
    ( until2p23(s64)
    | ~ xuntil2p24(s63)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_58134]) ).

tcf(c_58234,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_58358,plain,
    ( until2p23(s48)
    | ~ xuntil2p24(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_58234]) ).

tcf(c_58370,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s75)
      | ~ succ(s75,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_58716,plain,
    ( until2p23(s76)
    | ~ xuntil2p24(s75)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_58370]) ).

tcf(c_59019,plain,
    ( xuntil2p24(s83)
    | node20(s83)
    | ~ until2p23(s83) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_59020,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s83)
      | ~ succ(s83,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_59023,plain,
    ( until2p23(s84)
    | ~ xuntil2p24(s83)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_59020]) ).

tcf(c_59058,plain,
    ( xuntil2p24(s22)
    | node20(s22)
    | ~ until2p23(s22) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_59070,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_59073,plain,
    ( until2p23(s23)
    | ~ xuntil2p24(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_59070]) ).

tcf(c_59075,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_59078,plain,
    ( until2p23(s24)
    | ~ xuntil2p24(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_59075]) ).

tcf(c_59093,plain,
    ! [X0: $i] :
      ( until2p23(X0)
      | ~ xuntil2p24(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_59133,plain,
    ( until2p23(s8)
    | ~ xuntil2p24(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_59093]) ).

tcf(c_59134,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_59133,c_59078,c_59073,c_59058,c_59023,c_59019,c_58716,c_58358,c_58232,c_58231,c_58230,c_58145,c_58082,c_57997,c_57950,c_57949,c_57948,c_57947,c_57946,c_57796,c_57795,c_57794,c_57701,c_57678,c_57677,c_57676,c_57675,c_57674,c_57578,c_57548,c_57543,c_57415,c_57414,c_57413,c_57412,c_57411,c_57318,c_57290,c_57191,c_57176,c_57172,c_57171,c_57170,c_57085,c_57023,c_56873,c_56872,c_56871,c_56870,c_56869,c_56704,c_56589,c_56554,c_56553,c_56457,c_56437,c_56436,c_56152,c_56151,c_56150,c_55864,c_55844,c_55756,c_55753,c_55719,c_55718,c_55717,c_55584,c_55491,c_55473,c_55472,c_55379,c_55330,c_55180,c_55035,c_55034,c_54828,c_54825,c_54793,c_54555,c_54530,c_54515,c_54390,c_54389,c_54260,c_54175,c_54156,c_54071,c_54033,c_53912,c_53911,c_53759,c_53615,c_53614,c_53498,c_53368,c_53367,c_53282,c_53255,c_53170,c_53157,c_53156,c_53150,c_53052,c_53016,c_52890,c_52889,c_52796,c_52780,c_52652,c_52651,c_52566,c_52549,c_52460,c_52446,c_52353,c_52323,c_52219,c_52134,c_52104,c_52008,c_52004,c_52003,c_52001,c_51998,c_51994,c_51991,c_51989,c_51987,c_51984,c_51981,c_51979,c_51976,c_51972,c_51970,c_51968,c_51965,c_51961,c_51960,c_51957,c_51955,c_51953,c_51950,c_51949,c_51945,c_51941,c_51940,c_51938,c_51933,c_51931,c_51930,c_51830,c_51509,c_51506,c_51504,c_51501,c_51497,c_51496,c_51495,c_51493,c_51486,c_51482,c_51481,c_51480,c_51478,c_51471,c_51470,c_51467,c_51465,c_51457,c_51456,c_51452,c_51451,c_51446,c_51443,c_51439,c_51438,c_51436,c_51433,c_51432,c_51428,c_51427,c_51423,c_51418,c_51416,c_51413,c_51412,c_51279,c_51020,c_51016,c_51015,c_49637,c_48175,c_48138,c_48137,c_48133,c_48132,c_48128,c_48126,c_48122,c_48119,c_48115,c_48114,c_48111,c_48109,c_48106,c_48104,c_48101,c_48099,c_48095,c_48094,c_48091,c_48089,c_48087,c_48084,c_48080,c_48079,c_48074,c_48070,c_48068,c_48065,c_48061,c_48060,c_48057,c_48055,c_48052,c_48050,c_48046,c_48045,c_48041,c_48037,c_48036,c_48033,c_48031,c_48028,c_48026,c_48022,c_48021,c_48018,c_48016,c_48013,c_48011,c_48008,c_48005,c_48002,c_48000,c_47997,c_47994,c_47992,c_47989,c_47987,c_47986,c_47982,c_47978,c_47977,c_47974,c_47972,c_47971,c_47964,c_47963,c_47962,c_47958,c_47954,c_47953,c_47952,c_47948,c_47945,c_47943,c_47940,c_47938,c_47934,c_47933,c_47931,c_47928,c_47924,c_47920,c_47919,c_47915,c_47914,c_47913,c_47909,c_47908,c_47904,c_47900,c_47899,c_47895,c_47894,c_47890,c_47889,c_47885,c_47883,c_47880,c_47878,c_47875,c_47873,c_47870,c_47866,c_47865,c_47862,c_47860,c_47857,c_47855,c_47853,c_47850,c_47846,c_47845,c_47843,c_47840,c_47839,c_47835,c_47833,c_47829,c_47822,c_47819,c_47715,c_47710,c_47709,c_47708,c_47697,c_47694,c_47690,c_47677,c_47675,c_47674,c_47662,c_47660,c_47659,c_47652,c_47651,c_47650,c_47644,c_47642,c_47641,c_47615,c_47607,c_47605,c_47604,c_47597,c_47594,c_47589,c_47581,c_47579,c_47578,c_47571,c_47570,c_47569,c_47563,c_47561,c_47560,c_47553,c_47550,c_47543,c_47541,c_47540,c_47527,c_47525,c_47524,c_47517,c_47516,c_47515,c_47501,c_47494,c_47491,c_47483,c_47482,c_47481,c_47455,c_47447,c_47444,c_47441,c_47414,c_47411,c_47400,c_47398,c_47397,c_47384,c_47382,c_47381,c_47370,c_47369,c_47368,c_47361,c_47360,c_47359,c_47346,c_47344,c_47343,c_47337,c_47336,c_47329,c_47328,c_47327,c_47320,c_47319,c_47318,c_47308,c_47296,c_47294,c_47293,c_47281,c_47279,c_47278,c_47271,c_47270,c_47269,c_47263,c_47261,c_47260,c_47249,c_47246,c_47242,c_47230,c_47228,c_47227,c_47215,c_47213,c_47212,c_47205,c_47204,c_47203,c_47197,c_47195,c_47194,c_47185,c_47183,c_47182,c_47175,c_47172,c_47167,c_47160,c_47158,c_47157,c_47146,c_47145,c_47144,c_47130,c_47124,c_47122,c_47121,c_47114,c_47111,c_47104,c_47102,c_47101,c_47088,c_47086,c_47085,c_47078,c_47077,c_47076,c_47070,c_47068,c_47067,c_47059,c_47057,c_47056,c_47049,c_47046,c_47041,c_47033,c_47031,c_47030,c_47019,c_47018,c_47017,c_47011,c_47009,c_47008,c_46997,c_46994,c_46990,c_46978,c_46976,c_46975,c_46963,c_46961,c_46960,c_46953,c_46952,c_46951,c_46936,c_46933,c_46929,c_46922,c_46921,c_46920,c_46908,c_46906,c_46905,c_46893,c_46891,c_46890,c_46883,c_46882,c_46881,c_46875,c_46873,c_46872,c_46861,c_46858,c_46854,c_46841,c_46839,c_46838,c_46817,c_46810,c_46807,c_46802,c_46795,c_46778,c_46771,c_46768,c_46763,c_46756,c_46739,c_46732,c_46729,c_46724,c_46717,c_46701,c_46694,c_46691,c_46686,c_46679,c_46663,c_46656,c_46653,c_46648,c_46641,c_46625,c_46618,c_46615,c_46610,c_46603,c_46585,c_46578,c_46575,c_46572,c_46565,c_46557,c_46555,c_46554,c_46548,c_46547,c_46541,c_46540,c_46534,c_46533,c_46527,c_46526,c_46520,c_46519,c_46513,c_46512,c_46506,c_46505,c_46499,c_46498,c_46492,c_46491,c_46485,c_46484,c_46478,c_46477,c_46471,c_46470,c_46464,c_46463,c_46457,c_46456,c_46450,c_46449,c_46443,c_46442,c_46436,c_46435,c_46429,c_46428,c_46422,c_46421,c_46415,c_46414,c_46408,c_46407,c_46401,c_46400,c_46394,c_46393,c_46387,c_46386,c_46380,c_46379,c_46373,c_46372,c_46366,c_46365,c_46359,c_46358,c_46352,c_46351,c_46339,c_46332,c_46329,c_46324,c_46317,c_46301,c_46294,c_46291,c_46286,c_46279,c_46263,c_46256,c_46253,c_46248,c_46241,c_46225,c_46206,c_46197,c_46194,c_46189,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,c_1705,c_1687,c_1689,c_1690,c_1675,c_1662,c_1663,c_1641,c_1633,c_1634,c_1618,c_1619,c_1620,c_1621,c_1622,c_1610,c_1599,c_1593,c_1592,c_1587,c_1585,c_1584,c_1582,c_1579,c_1576,c_1559,c_1557,c_1556,c_1554,c_1551,c_1548,c_1531,c_1529,c_1528,c_1526,c_1523,c_1520,c_1503,c_1501,c_1500,c_1498,c_1495,c_1492,c_1475,c_1473,c_1472,c_1470,c_1467,c_1464,c_1447,c_1445,c_1444,c_1442,c_1439,c_1436,c_1419,c_1417,c_1416,c_1414,c_1411,c_1408,c_1391,c_1389,c_1388,c_1386,c_1383,c_1380,c_1363,c_1361,c_1360,c_1358,c_1355,c_1352,c_1335,c_1333,c_1332,c_1330,c_1327,c_1324,c_1307,c_1305,c_1304,c_1302,c_1299,c_1296,c_1279,c_1277,c_1276,c_1274,c_1271,c_1268,c_1251,c_1249,c_1248,c_1246,c_1243,c_1240,c_1223,c_1220,c_1218,c_1215,c_1212,c_1195,c_1192,c_1190,c_1187,c_1184,c_1167,c_1164,c_1162,c_1159,c_1156,c_1139,c_1136,c_1134,c_1131,c_1128,c_1111,c_1108,c_1106,c_1103,c_1100,c_1083,c_1080,c_1078,c_1075,c_1072,c_1055,c_1052,c_1050,c_1047,c_1044,c_1027,c_1024,c_1022,c_1019,c_1016,c_999,c_996,c_994,c_991,c_988,c_971,c_968,c_966,c_963,c_960,c_943,c_940,c_938,c_935,c_932,c_915,c_908,c_902,c_899,c_887,c_888,c_889,c_884,c_885,c_886,c_882,c_883,c_879,c_880,c_875,c_876,c_877,c_872,c_873,c_874,c_870,c_871,c_866,c_867,c_868,c_863,c_864,c_865,c_860,c_861,c_862,c_858,c_859,c_854,c_855,c_856,c_851,c_852,c_853,c_848,c_849,c_850,c_846,c_847,c_843,c_844,c_839,c_840,c_841,c_836,c_837,c_838,c_834,c_835,c_831,c_832,c_827,c_828,c_829,c_824,c_825,c_826,c_822,c_823,c_818,c_819,c_820,c_815,c_816,c_817,c_812,c_813,c_814,c_810,c_811,c_806,c_807,c_808,c_803,c_804,c_805,c_800,c_801,c_802,c_798,c_799,c_794,c_795,c_796,c_791,c_792,c_793,c_788,c_789,c_790,c_786,c_787,c_782,c_783,c_784,c_779,c_780,c_781,c_776,c_777,c_778,c_774,c_775,c_770,c_771,c_772,c_767,c_768,c_769,c_764,c_765,c_766,c_762,c_763,c_758,c_759,c_760,c_755,c_756,c_757,c_752,c_753,c_754,c_750,c_751,c_746,c_747,c_748,c_743,c_744,c_745,c_740,c_741,c_742,c_738,c_739,c_734,c_735,c_736,c_732,c_733,c_728,c_729,c_730,c_726,c_727,c_722,c_723,c_724,c_720,c_721,c_716,c_717,c_718,c_714,c_715,c_710,c_711,c_712,c_708,c_709,c_704,c_705,c_706,c_702,c_703,c_698,c_699,c_700,c_696,c_697,c_692,c_693,c_694,c_690,c_691,c_686,c_687,c_688,c_684,c_685,c_680,c_681,c_682,c_678,c_679,c_674,c_675,c_676,c_672,c_673,c_668,c_669,c_670,c_666,c_667,c_662,c_663,c_664,c_660,c_661,c_656,c_657,c_658,c_654,c_655,c_650,c_651,c_652,c_648,c_649,c_644,c_645,c_646,c_642,c_643,c_638,c_639,c_640,c_636,c_637,c_632,c_633,c_634,c_630,c_631,c_626,c_627,c_628,c_624,c_625,c_620,c_621,c_622,c_618,c_619,c_614,c_615,c_616,c_612,c_613,c_608,c_609,c_610,c_606,c_607,c_602,c_603,c_604,c_600,c_601,c_597,c_598,c_593,c_594,c_595,c_590,c_581,c_583,c_586,c_578,c_577,c_576,c_575,c_574,c_573,c_572,c_571,c_570,c_569,c_568,c_567,c_566,c_565,c_564,c_563,c_562,c_561,c_560,c_559,c_558,c_557,c_556,c_555,c_554,c_553,c_552,c_551,c_550,c_549,c_548,c_547,c_546,c_545,c_544,c_543,c_542,c_541,c_540,c_539,c_538,c_537,c_536,c_535,c_534,c_533,c_532,c_531,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_516,c_515,c_514,c_513,c_512,c_511,c_510,c_509,c_508,c_507,c_506,c_505,c_504,c_503,c_502,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_484,c_483,c_482,c_481,c_480,c_479,c_478,c_477,c_330,c_461,c_454,c_453,c_444,c_441,c_440,c_439,c_425,c_424,c_421,c_411,c_410,c_229,c_230,c_231,c_232,c_233,c_234,c_235,c_236,c_237,c_238,c_239,c_240,c_241,c_242,c_243,c_244,c_245,c_246,c_247,c_248,c_249,c_250,c_251,c_252,c_253,c_254,c_255,c_256,c_257,c_258,c_259,c_260,c_261,c_262,c_263,c_264,c_265,c_266,c_267,c_268,c_269,c_270,c_271,c_272,c_273,c_274,c_275,c_276,c_277,c_278,c_279,c_280,c_281,c_282,c_283,c_284,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_341,c_342,c_343,c_328,c_408]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV421-1.100 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n010.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 19:37:58 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42  Running EPR theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 31.57/5.18  % SZS status Started for theBenchmark.p
% 31.57/5.18  % SZS status Unsatisfiable for theBenchmark.p
% 31.57/5.18  
% 31.57/5.18  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.57/5.18  
% 31.57/5.18  % ------  iProver source info
% 31.57/5.18  
% 31.57/5.18  % git: date: 2026-07-19 20:42:38 +0200
% 31.57/5.18  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.57/5.18  % git: non_committed_changes: false
% 31.57/5.18  
% 31.57/5.18  % ------ Parsing...% successful
% 31.57/5.18  
% 31.57/5.18  
% 31.57/5.18  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 31.57/5.18  % ------ Proving...
% 31.57/5.18  % ------ Problem Properties 
% 31.57/5.18  
% 31.57/5.18  % 
% 31.57/5.18  % clauses                               180
% 31.57/5.18  % conjectures                           13
% 31.57/5.18  % EPR                                   180
% 31.57/5.18  % Horn                                  160
% 31.57/5.18  % unary                                 104
% 31.57/5.18  % binary                                42
% 31.57/5.18  % lits                                  445
% 31.57/5.18  % lits eq                               0
% 31.57/5.18  % fd_pure                               0
% 31.57/5.18  % fd_pseudo                             0
% 31.57/5.18  % fd_cond                               0
% 31.57/5.18  % fd_pseudo_cond                        0
% 31.57/5.18  % AC symbols                            0
% 31.57/5.18  
% 31.57/5.18  % ------ Input Options Time Limit: Unbounded
% 31.57/5.18  
% 31.57/5.18  
% 31.57/5.18  % ------ 
% 31.57/5.18  % Current options:
% 31.57/5.18  % ------ 
% 31.57/5.18  
% 31.57/5.18  
% 31.57/5.18  % 
% 31.57/5.18  
% 31.57/5.18  % ------ Proving...
% 31.57/5.18  % 
% 31.57/5.18  
% 31.57/5.18  % SZS status Unsatisfiable for theBenchmark.p
% 31.57/5.18  
% 31.57/5.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.55/5.25  
% 36.55/5.25  
%------------------------------------------------------------------------------