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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV422-1.100 : 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 : n001.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 03:20:39 PM UTC 2026

% Result   : Unsatisfiable 27.44s 4.69s
% Output   : CNFRefutation 32.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  174
% Syntax   : Number of formulae    : 3329 ( 209 unt;   0 def)
%            Number of atoms       : 9431 (   0 equ)
%            Maximal formula atoms :  101 (   2 avg)
%            Number of connectives : 11084 (4982   ~;6102   |;   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   :  650 (   0 sgn 650   !;   0   ?; 547   :)

% 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(f143,axiom,
    ! [X0] :
      ( ~ node11(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_main_41) ).

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] :
      ( ~ always25(X0)
      | ~ m_main_v_state2(X0,c_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty14) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( ~ always25(X1)
      | ~ trans(X1,X0)
      | always25(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty15) ).

fof(f170,negated_conjecture,
    ! [X0] :
      ( ~ last(X0)
      | ~ always25(X0)
      | loop ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty16) ).

fof(f171,negated_conjecture,
    ! [X0] :
      ( ~ node26(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty17) ).

fof(f172,negated_conjecture,
    ! [X0] :
      ( ~ node26(X0)
      | always25(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty18) ).

fof(f173,negated_conjecture,
    ! [X0] :
      ( ~ until27(X0)
      | xuntil28(X0)
      | node26(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty19) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil28(X1)
      | ~ succ(X1,X0)
      | until27(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty20) ).

fof(f175,negated_conjecture,
    ! [X0] :
      ( ~ xuntil28(X0)
      | ~ last(X0)
      | loop ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty21) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil28(X1)
      | ~ last(X1)
      | ~ trans(X1,X0)
      | until2p29(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty22) ).

fof(f177,negated_conjecture,
    ! [X0] :
      ( ~ until2p29(X0)
      | xuntil2p30(X0)
      | node26(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty23) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil2p30(X1)
      | ~ succ(X1,X0)
      | until2p29(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty24) ).

fof(f179,negated_conjecture,
    ! [X0] :
      ( ~ xuntil2p30(X0)
      | ~ last(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty25) ).

fof(f180,negated_conjecture,
    until27(s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prpty26) ).

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_371,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node11(X0) ),
    inference(cnf_transformation,[],[f143]) ).

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] :
      ( ~ always25(X0)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( always25(X1)
      | ~ always25(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( loop
      | ~ always25(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node26(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i] :
      ( always25(X0)
      | ~ node26(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( xuntil28(X0)
      | node26(X0)
      | ~ until27(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until27(X1)
      | ~ xuntil28(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( loop
      | ~ xuntil28(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p29(X1)
      | ~ xuntil28(X0)
      | ~ last(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( xuntil2p30(X0)
      | node26(X0)
      | ~ until2p29(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p29(X1)
      | ~ xuntil2p30(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( ~ xuntil2p30(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_408,negated_conjecture,
    until27(s0),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_409,plain,
    ( always25(s99)
    | ~ node26(s99) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_410,plain,
    ( ~ xuntil2p30(s99)
    | ~ last(s99) ),
    inference(instantiation,[status(thm)],[c_407]) ).

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,
    ( xuntil2p30(s99)
    | node26(s99)
    | ~ until2p29(s99) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_440,plain,
    ( loop
    | ~ xuntil28(s99)
    | ~ last(s99) ),
    inference(instantiation,[status(thm)],[c_403]) ).

tcf(c_441,plain,
    ( xuntil28(s99)
    | node26(s99)
    | ~ until27(s99) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_442,plain,
    ( loop
    | ~ always25(s99)
    | ~ last(s99) ),
    inference(instantiation,[status(thm)],[c_398]) ).

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,
    ( xuntil28(s0)
    | node26(s0)
    | ~ until27(s0) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_478,plain,
    ( ~ m_main_v_state2(s0,c_t2)
    | ~ m_main_v_state2(s0,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

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_state1(s0,c_t1)
    | ~ m_main_v_state1(s0,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_582,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node15(s0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_586,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node1(s0) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_587,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node26(s0) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_594,plain,
    ( node18(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_595,plain,
    ( node14(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_596,plain,
    ( node7(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_597,plain,
    ( node18(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_598,plain,
    ( node14(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_599,plain,
    ( node7(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_600,plain,
    ( node18(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_601,plain,
    ( node14(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_602,plain,
    ( node7(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_604,plain,
    ( node14(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_605,plain,
    ( node7(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_607,plain,
    ( node14(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_608,plain,
    ( node7(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_609,plain,
    ( node18(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_610,plain,
    ( node14(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_611,plain,
    ( node7(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_613,plain,
    ( node14(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_614,plain,
    ( node7(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_616,plain,
    ( node14(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_617,plain,
    ( node7(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_619,plain,
    ( node14(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_620,plain,
    ( node7(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_621,plain,
    ( node18(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_622,plain,
    ( node14(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_623,plain,
    ( node7(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_624,plain,
    ( node18(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_625,plain,
    ( node14(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_626,plain,
    ( node7(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_627,plain,
    ( node18(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_628,plain,
    ( node14(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_629,plain,
    ( node7(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_631,plain,
    ( node14(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_632,plain,
    ( node7(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_633,plain,
    ( node18(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_634,plain,
    ( node14(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_635,plain,
    ( node7(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_636,plain,
    ( node18(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_637,plain,
    ( node14(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_638,plain,
    ( node7(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_639,plain,
    ( node18(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_640,plain,
    ( node14(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_641,plain,
    ( node7(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_643,plain,
    ( node14(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_644,plain,
    ( node7(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_645,plain,
    ( node18(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_646,plain,
    ( node14(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_647,plain,
    ( node7(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_648,plain,
    ( node18(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_649,plain,
    ( node14(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_650,plain,
    ( node7(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_652,plain,
    ( node14(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_653,plain,
    ( node7(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_655,plain,
    ( node14(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_656,plain,
    ( node7(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_657,plain,
    ( node18(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_658,plain,
    ( node14(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_659,plain,
    ( node7(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_660,plain,
    ( node18(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_661,plain,
    ( node14(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_662,plain,
    ( node7(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_663,plain,
    ( node18(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_664,plain,
    ( node14(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_665,plain,
    ( node7(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_667,plain,
    ( node14(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_668,plain,
    ( node7(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_669,plain,
    ( node18(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_670,plain,
    ( node14(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_671,plain,
    ( node7(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_673,plain,
    ( node14(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_674,plain,
    ( node7(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_675,plain,
    ( node18(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_676,plain,
    ( node14(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_677,plain,
    ( node7(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_679,plain,
    ( node14(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_680,plain,
    ( node7(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_681,plain,
    ( node18(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_682,plain,
    ( node14(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_683,plain,
    ( node7(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_684,plain,
    ( node18(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_685,plain,
    ( node14(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_686,plain,
    ( node7(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_687,plain,
    ( node18(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_688,plain,
    ( node14(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_689,plain,
    ( node7(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_691,plain,
    ( node14(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_692,plain,
    ( node7(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_693,plain,
    ( node18(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_694,plain,
    ( node14(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_695,plain,
    ( node7(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_696,plain,
    ( node18(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_697,plain,
    ( node14(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_698,plain,
    ( node7(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_699,plain,
    ( node18(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_700,plain,
    ( node14(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_701,plain,
    ( node7(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_703,plain,
    ( node14(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_704,plain,
    ( node7(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_705,plain,
    ( node18(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_706,plain,
    ( node14(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_707,plain,
    ( node7(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_708,plain,
    ( node18(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_709,plain,
    ( node14(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_710,plain,
    ( node7(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_711,plain,
    ( node18(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_712,plain,
    ( node14(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_713,plain,
    ( node7(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_715,plain,
    ( node14(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_716,plain,
    ( node7(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_717,plain,
    ( node18(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_718,plain,
    ( node14(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_719,plain,
    ( node7(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_720,plain,
    ( node18(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_721,plain,
    ( node14(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_722,plain,
    ( node7(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_723,plain,
    ( node18(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_724,plain,
    ( node14(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_725,plain,
    ( node7(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_727,plain,
    ( node14(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_728,plain,
    ( node7(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_729,plain,
    ( node18(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_730,plain,
    ( node14(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_731,plain,
    ( node7(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_733,plain,
    ( node14(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_734,plain,
    ( node7(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_735,plain,
    ( node18(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_736,plain,
    ( node14(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_737,plain,
    ( node7(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_739,plain,
    ( node14(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_740,plain,
    ( node7(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_741,plain,
    ( node18(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_742,plain,
    ( node14(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_743,plain,
    ( node7(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_744,plain,
    ( node18(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_745,plain,
    ( node14(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_746,plain,
    ( node7(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_747,plain,
    ( node18(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_748,plain,
    ( node14(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_749,plain,
    ( node7(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_751,plain,
    ( node14(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_752,plain,
    ( node7(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_753,plain,
    ( node18(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_754,plain,
    ( node14(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_755,plain,
    ( node7(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_756,plain,
    ( node18(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_757,plain,
    ( node14(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_758,plain,
    ( node7(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_759,plain,
    ( node18(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_760,plain,
    ( node14(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_761,plain,
    ( node7(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_763,plain,
    ( node14(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_764,plain,
    ( node7(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_765,plain,
    ( node18(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_766,plain,
    ( node14(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_767,plain,
    ( node7(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_768,plain,
    ( node18(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_769,plain,
    ( node14(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_770,plain,
    ( node7(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_771,plain,
    ( node18(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_772,plain,
    ( node14(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_773,plain,
    ( node7(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_775,plain,
    ( node14(s60,s61)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_776,plain,
    ( node7(s60,s61)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_777,plain,
    ( node18(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_778,plain,
    ( node14(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_779,plain,
    ( node7(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_781,plain,
    ( node14(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_782,plain,
    ( node7(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_783,plain,
    ( node18(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_784,plain,
    ( node14(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_785,plain,
    ( node7(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_787,plain,
    ( node14(s64,s65)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_788,plain,
    ( node7(s64,s65)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_789,plain,
    ( node18(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_790,plain,
    ( node14(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_791,plain,
    ( node7(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_792,plain,
    ( node18(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_793,plain,
    ( node14(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_794,plain,
    ( node7(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_795,plain,
    ( node18(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_796,plain,
    ( node14(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_797,plain,
    ( node7(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_799,plain,
    ( node14(s68,s69)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_800,plain,
    ( node7(s68,s69)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_801,plain,
    ( node18(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_802,plain,
    ( node14(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_803,plain,
    ( node7(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_804,plain,
    ( node18(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_805,plain,
    ( node14(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_806,plain,
    ( node7(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_807,plain,
    ( node18(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_808,plain,
    ( node14(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_809,plain,
    ( node7(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_811,plain,
    ( node14(s72,s73)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_812,plain,
    ( node7(s72,s73)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_813,plain,
    ( node18(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_814,plain,
    ( node14(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_815,plain,
    ( node7(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_817,plain,
    ( node14(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_818,plain,
    ( node7(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_819,plain,
    ( node18(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_820,plain,
    ( node14(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_821,plain,
    ( node7(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_823,plain,
    ( node14(s76,s77)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_824,plain,
    ( node7(s76,s77)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_825,plain,
    ( node18(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_826,plain,
    ( node14(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_827,plain,
    ( node7(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_829,plain,
    ( node14(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_830,plain,
    ( node7(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_831,plain,
    ( node18(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_832,plain,
    ( node14(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_833,plain,
    ( node7(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_835,plain,
    ( node14(s80,s81)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_836,plain,
    ( node7(s80,s81)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_837,plain,
    ( node18(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_838,plain,
    ( node14(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_839,plain,
    ( node7(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_841,plain,
    ( node14(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_842,plain,
    ( node7(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_843,plain,
    ( node18(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_844,plain,
    ( node14(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_845,plain,
    ( node7(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_847,plain,
    ( node14(s84,s85)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_848,plain,
    ( node7(s84,s85)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_849,plain,
    ( node18(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_850,plain,
    ( node14(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_851,plain,
    ( node7(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_853,plain,
    ( node14(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_854,plain,
    ( node7(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_856,plain,
    ( node14(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_857,plain,
    ( node7(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_859,plain,
    ( node14(s88,s89)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_860,plain,
    ( node7(s88,s89)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_861,plain,
    ( node18(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_862,plain,
    ( node14(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_863,plain,
    ( node7(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_864,plain,
    ( node18(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_865,plain,
    ( node14(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_866,plain,
    ( node7(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_867,plain,
    ( node18(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_868,plain,
    ( node14(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_869,plain,
    ( node7(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_871,plain,
    ( node14(s92,s93)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_872,plain,
    ( node7(s92,s93)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_873,plain,
    ( node18(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_874,plain,
    ( node14(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_875,plain,
    ( node7(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_876,plain,
    ( node18(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_877,plain,
    ( node14(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_878,plain,
    ( node7(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_879,plain,
    ( node18(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_880,plain,
    ( node14(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_881,plain,
    ( node7(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_883,plain,
    ( node14(s96,s97)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_884,plain,
    ( node7(s96,s97)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_885,plain,
    ( node18(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_886,plain,
    ( node14(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_887,plain,
    ( node7(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_888,plain,
    ( node18(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_889,plain,
    ( node14(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_890,plain,
    ( node7(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_892,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node16(s0) ),
    inference(instantiation,[status(thm)],[c_389]) ).

tcf(c_894,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node8(s0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_899,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_900,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_899]) ).

tcf(c_908,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s0)
      | ~ succ(s0,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_912,plain,
    ( node16(s0)
    | node15(s0)
    | node17(s0,s1)
    | ~ node18(s0,s1) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_920,plain,
    ( node16(s1)
    | node15(s1)
    | node17(s1,s2)
    | ~ node18(s1,s2) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_922,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_926,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_361]) ).

tcf(c_928,plain,
    ( node16(s2)
    | node15(s2)
    | node17(s2,s3)
    | ~ node18(s2,s3) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_930,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_940,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_949,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_953,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_959,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_962,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_972,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_981,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_985,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_991,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_992,plain,
    ( node16(s10)
    | node15(s10)
    | node17(s10,s11)
    | ~ node18(s10,s11) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_994,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_1004,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_1013,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_1017,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_1023,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_1024,plain,
    ( node16(s14)
    | node15(s14)
    | node17(s14,s15)
    | ~ node18(s14,s15) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1026,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_1036,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_1045,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_1049,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_1055,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_1056,plain,
    ( node16(s18)
    | node15(s18)
    | node17(s18,s19)
    | ~ node18(s18,s19) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1058,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_1068,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_1077,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_1081,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_1087,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_1088,plain,
    ( node16(s22)
    | node15(s22)
    | node17(s22,s23)
    | ~ node18(s22,s23) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1090,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_1100,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_1109,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_1113,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_1119,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_1122,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_1132,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_1141,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_1145,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_1151,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_1152,plain,
    ( node16(s30)
    | node15(s30)
    | node17(s30,s31)
    | ~ node18(s30,s31) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1154,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_1164,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_1173,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_1177,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_1183,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_1184,plain,
    ( node16(s34)
    | node15(s34)
    | node17(s34,s35)
    | ~ node18(s34,s35) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1186,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_1196,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_1205,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_1209,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_1215,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_1216,plain,
    ( node16(s38)
    | node15(s38)
    | node17(s38,s39)
    | ~ node18(s38,s39) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1218,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_1228,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_1237,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_1241,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_1247,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_1248,plain,
    ( node16(s42)
    | node15(s42)
    | node17(s42,s43)
    | ~ node18(s42,s43) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1250,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_1260,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_1269,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_1273,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_1279,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_1282,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_1292,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_1301,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_1305,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_1311,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_1312,plain,
    ( node16(s50)
    | node15(s50)
    | node17(s50,s51)
    | ~ node18(s50,s51) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1314,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_1324,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_1333,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_1337,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_1343,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_1344,plain,
    ( node16(s54)
    | node15(s54)
    | node17(s54,s55)
    | ~ node18(s54,s55) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1346,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_1356,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_1365,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_1369,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_1375,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_1376,plain,
    ( node16(s58)
    | node15(s58)
    | node17(s58,s59)
    | ~ node18(s58,s59) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1378,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_1388,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_1397,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_1401,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_1407,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_1410,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_1420,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_1429,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_1433,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_1439,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_1440,plain,
    ( node16(s66)
    | node15(s66)
    | node17(s66,s67)
    | ~ node18(s66,s67) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1442,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_1452,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_1461,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_1465,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_1471,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_1472,plain,
    ( node16(s70)
    | node15(s70)
    | node17(s70,s71)
    | ~ node18(s70,s71) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1474,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_1484,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_1493,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_1497,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_1503,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_1506,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_1516,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_1525,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_1529,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_1535,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_1538,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_1548,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_1557,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_1561,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_1567,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_1570,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_1580,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_1589,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_1593,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_1599,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_1602,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_1612,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_1621,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_1625,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_1631,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_1632,plain,
    ( node16(s90)
    | node15(s90)
    | node17(s90,s91)
    | ~ node18(s90,s91) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1634,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_1644,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_1653,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_1657,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_1663,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_1664,plain,
    ( node16(s94)
    | node15(s94)
    | node17(s94,s95)
    | ~ node18(s94,s95) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1666,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_1676,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_1685,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_1689,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_1695,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_1696,plain,
    ( node16(s98)
    | node15(s98)
    | node17(s98,s99)
    | ~ node18(s98,s99) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1698,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_1704,plain,
    ( until27(s1)
    | ~ xuntil28(s0)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_908]) ).

tcf(c_1705,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_1731,plain,
    ( ~ m_main_v_state2(s1,c_c2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1734,plain,
    ( m_main_v_turn(s1,c_2)
    | ~ node12(s1) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1736,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_1737,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_1736]) ).

tcf(c_1738,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node15(s1) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_1739,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node15(s2) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_1741,plain,
    ( ~ m_main_v_state2(s2,c_c2)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1744,plain,
    ( m_main_v_turn(s2,c_2)
    | ~ node12(s2) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1754,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s3,c_2)
      | ~ node18(X0,s3)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1755,plain,
    ( m_main_v_turn(s3,c_2)
    | ~ node18(s99,s3)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1754]) ).

tcf(c_1756,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_1757,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1758,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1766,plain,
    ( ~ m_main_v_state2(s5,c_c2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1773,plain,
    ( ~ m_main_v_state2(s6,c_c2)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1778,plain,
    ( m_main_v_turn(s6,c_2)
    | ~ node12(s6) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1790,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_1791,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1792,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1800,plain,
    ( ~ m_main_v_state2(s9,c_c2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1807,plain,
    ( ~ m_main_v_state2(s10,c_c2)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1822,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s11,c_2)
      | ~ node18(X0,s11)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1823,plain,
    ( m_main_v_turn(s11,c_2)
    | ~ node18(s99,s11)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1822]) ).

tcf(c_1824,plain,
    ! [X0: $i] :
      ( node12(s12)
      | node11(s12)
      | node10(s12)
      | node9(s12)
      | node8(s12)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s12,c_c2)
      | ~ node14(s12,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_1825,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1826,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1834,plain,
    ( ~ m_main_v_state2(s13,c_c2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1841,plain,
    ( ~ m_main_v_state2(s14,c_c2)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1844,plain,
    ( m_main_v_turn(s14,c_2)
    | ~ node12(s14) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1846,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s14,c_2)
      | ~ node18(X0,s14)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1847,plain,
    ( m_main_v_turn(s14,c_2)
    | ~ node18(s99,s14)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1846]) ).

tcf(c_1856,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s15,c_2)
      | ~ node18(X0,s15)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1857,plain,
    ( m_main_v_turn(s15,c_2)
    | ~ node18(s99,s15)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1856]) ).

tcf(c_1858,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_1859,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1860,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1868,plain,
    ( ~ m_main_v_state2(s17,c_c2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1875,plain,
    ( ~ m_main_v_state2(s18,c_c2)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1878,plain,
    ( m_main_v_turn(s18,c_2)
    | ~ node12(s18) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1880,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s18,c_2)
      | ~ node18(X0,s18)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1881,plain,
    ( m_main_v_turn(s18,c_2)
    | ~ node18(s99,s18)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1880]) ).

tcf(c_1883,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node15(s10) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_1890,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s19,c_2)
      | ~ node18(X0,s19)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1891,plain,
    ( m_main_v_turn(s19,c_2)
    | ~ node18(s99,s19)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1890]) ).

tcf(c_1892,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_1893,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1894,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1902,plain,
    ( ~ m_main_v_state2(s21,c_c2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1909,plain,
    ( ~ m_main_v_state2(s22,c_c2)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1912,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node12(s22) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1914,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s22,c_2)
      | ~ node18(X0,s22)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1915,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node18(s99,s22)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1914]) ).

tcf(c_1924,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s23,c_2)
      | ~ node18(X0,s23)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1925,plain,
    ( m_main_v_turn(s23,c_2)
    | ~ node18(s99,s23)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1924]) ).

tcf(c_1926,plain,
    ! [X0: $i] :
      ( node12(s24)
      | node11(s24)
      | node10(s24)
      | node9(s24)
      | node8(s24)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s24,c_c2)
      | ~ node14(s24,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_1927,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1928,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1932,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_1936,plain,
    ( ~ m_main_v_state2(s25,c_c2)
    | ~ m_main_v_state2(s25,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1943,plain,
    ( ~ m_main_v_state2(s26,c_c2)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1946,plain,
    ( m_main_v_turn(s26,c_2)
    | ~ node12(s26) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1948,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s26,c_2)
      | ~ node18(X0,s26)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1949,plain,
    ( m_main_v_turn(s26,c_2)
    | ~ node18(s99,s26)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1948]) ).

tcf(c_1950,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node15(s13) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_1951,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node15(s14) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_1960,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_1961,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1962,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_1966,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_1977,plain,
    ( ~ m_main_v_state2(s30,c_c2)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1980,plain,
    ( m_main_v_turn(s30,c_2)
    | ~ node12(s30) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_1992,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s31,c_2)
      | ~ node18(X0,s31)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_1993,plain,
    ( m_main_v_turn(s31,c_2)
    | ~ node18(s99,s31)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_1992]) ).

tcf(c_1994,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_1995,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_1996,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2004,plain,
    ( ~ m_main_v_state2(s33,c_c2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2011,plain,
    ( ~ m_main_v_state2(s34,c_c2)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2014,plain,
    ( m_main_v_turn(s34,c_2)
    | ~ node12(s34) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2016,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s34,c_2)
      | ~ node18(X0,s34)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_2017,plain,
    ( m_main_v_turn(s34,c_2)
    | ~ node18(s99,s34)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_2016]) ).

tcf(c_2024,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s35,c_2)
      | ~ node18(X0,s35)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_2025,plain,
    ( m_main_v_turn(s35,c_2)
    | ~ node18(s99,s35)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_2024]) ).

tcf(c_2027,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node15(s18) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2028,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_2029,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2030,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2038,plain,
    ( ~ m_main_v_state2(s37,c_c2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2045,plain,
    ( ~ m_main_v_state2(s38,c_c2)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2048,plain,
    ( m_main_v_turn(s38,c_2)
    | ~ node12(s38) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2058,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s39,c_2)
      | ~ node18(X0,s39)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_2059,plain,
    ( m_main_v_turn(s39,c_2)
    | ~ node18(s99,s39)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_2058]) ).

tcf(c_2062,plain,
    ! [X0: $i] :
      ( node12(s40)
      | node11(s40)
      | node10(s40)
      | node9(s40)
      | node8(s40)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s40,c_c2)
      | ~ node14(s40,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2063,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2064,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2072,plain,
    ( ~ m_main_v_state2(s41,c_c2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2079,plain,
    ( ~ m_main_v_state2(s42,c_c2)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2082,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node12(s42) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2092,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s43,c_2)
      | ~ node18(X0,s43)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_2093,plain,
    ( m_main_v_turn(s43,c_2)
    | ~ node18(s99,s43)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_2092]) ).

tcf(c_2095,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node15(s22) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2096,plain,
    ! [X0: $i] :
      ( node12(s44)
      | node11(s44)
      | node10(s44)
      | node9(s44)
      | node8(s44)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s44,c_c2)
      | ~ node14(s44,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2097,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2098,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2106,plain,
    ( ~ m_main_v_state2(s45,c_c2)
    | ~ m_main_v_state2(s45,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2113,plain,
    ( ~ m_main_v_state2(s46,c_c2)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2116,plain,
    ( m_main_v_turn(s46,c_2)
    | ~ node12(s46) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2118,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s46,c_2)
      | ~ node18(X0,s46)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_2119,plain,
    ( m_main_v_turn(s46,c_2)
    | ~ node18(s99,s46)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_2118]) ).

tcf(c_2130,plain,
    ! [X0: $i] :
      ( node12(s48)
      | node11(s48)
      | node10(s48)
      | node9(s48)
      | node8(s48)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s48,c_c2)
      | ~ node14(s48,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2131,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2132,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2140,plain,
    ( ~ m_main_v_state2(s49,c_c2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2147,plain,
    ( ~ m_main_v_state2(s50,c_c2)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2150,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node12(s50) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2160,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_2161,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_2160]) ).

tcf(c_2164,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_2165,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2166,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2174,plain,
    ( ~ m_main_v_state2(s53,c_c2)
    | ~ m_main_v_state2(s53,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2181,plain,
    ( ~ m_main_v_state2(s54,c_c2)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2184,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node12(s54) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2194,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_2195,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_2194]) ).

tcf(c_2196,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_2197,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2198,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2208,plain,
    ( ~ m_main_v_state2(s57,c_c2)
    | ~ m_main_v_state2(s57,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2215,plain,
    ( ~ m_main_v_state2(s58,c_c2)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2218,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node12(s58) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2220,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_2221,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_2220]) ).

tcf(c_2228,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_2229,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_2228]) ).

tcf(c_2230,plain,
    ! [X0: $i] :
      ( node12(s60)
      | node11(s60)
      | node10(s60)
      | node9(s60)
      | node8(s60)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s60,c_c2)
      | ~ node14(s60,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2231,plain,
    ( ~ m_main_v_state2(s60,c_c2)
    | ~ m_main_v_state2(s60,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2232,plain,
    ( ~ m_main_v_state2(s60,c_c2)
    | ~ m_main_v_state2(s60,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2238,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node15(s29) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2239,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node15(s30) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2242,plain,
    ( ~ m_main_v_state2(s61,c_c2)
    | ~ m_main_v_state2(s61,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2249,plain,
    ( ~ m_main_v_state2(s62,c_c2)
    | ~ m_main_v_state2(s62,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2252,plain,
    ( m_main_v_turn(s62,c_2)
    | ~ node12(s62) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2254,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_2255,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_2254]) ).

tcf(c_2264,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_2265,plain,
    ( ~ m_main_v_state2(s64,c_c2)
    | ~ m_main_v_state2(s64,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2266,plain,
    ( ~ m_main_v_state2(s64,c_c2)
    | ~ m_main_v_state2(s64,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2276,plain,
    ( ~ m_main_v_state2(s65,c_c2)
    | ~ m_main_v_state2(s65,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2283,plain,
    ( ~ m_main_v_state2(s66,c_c2)
    | ~ m_main_v_state2(s66,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2286,plain,
    ( m_main_v_turn(s66,c_2)
    | ~ node12(s66) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2288,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_2289,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_2288]) ).

tcf(c_2296,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_2297,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_2296]) ).

tcf(c_2298,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_2299,plain,
    ( ~ m_main_v_state2(s68,c_c2)
    | ~ m_main_v_state2(s68,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2300,plain,
    ( ~ m_main_v_state2(s68,c_c2)
    | ~ m_main_v_state2(s68,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2307,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node15(s34) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2310,plain,
    ( ~ m_main_v_state2(s69,c_c2)
    | ~ m_main_v_state2(s69,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2317,plain,
    ( ~ m_main_v_state2(s70,c_c2)
    | ~ m_main_v_state2(s70,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2320,plain,
    ( m_main_v_turn(s70,c_2)
    | ~ node12(s70) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2322,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_2323,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_2322]) ).

tcf(c_2330,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_2331,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_2330]) ).

tcf(c_2332,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_2333,plain,
    ( ~ m_main_v_state2(s72,c_c2)
    | ~ m_main_v_state2(s72,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2334,plain,
    ( ~ m_main_v_state2(s72,c_c2)
    | ~ m_main_v_state2(s72,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2344,plain,
    ( ~ m_main_v_state2(s73,c_c2)
    | ~ m_main_v_state2(s73,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2351,plain,
    ( ~ m_main_v_state2(s74,c_c2)
    | ~ m_main_v_state2(s74,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2354,plain,
    ( m_main_v_turn(s74,c_2)
    | ~ node12(s74) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2366,plain,
    ! [X0: $i] :
      ( node12(s76)
      | node11(s76)
      | node10(s76)
      | node9(s76)
      | node8(s76)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s76,c_c2)
      | ~ node14(s76,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2367,plain,
    ( ~ m_main_v_state2(s76,c_c2)
    | ~ m_main_v_state2(s76,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2368,plain,
    ( ~ m_main_v_state2(s76,c_c2)
    | ~ m_main_v_state2(s76,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2375,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node15(s38) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2378,plain,
    ( ~ m_main_v_state2(s77,c_c2)
    | ~ m_main_v_state2(s77,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2385,plain,
    ( ~ m_main_v_state2(s78,c_c2)
    | ~ m_main_v_state2(s78,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2388,plain,
    ( m_main_v_turn(s78,c_2)
    | ~ node12(s78) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2400,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_2401,plain,
    ( ~ m_main_v_state2(s80,c_c2)
    | ~ m_main_v_state2(s80,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2402,plain,
    ( ~ m_main_v_state2(s80,c_c2)
    | ~ m_main_v_state2(s80,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2410,plain,
    ( ~ m_main_v_state2(s81,c_c2)
    | ~ m_main_v_state2(s81,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2419,plain,
    ( ~ m_main_v_state2(s82,c_c2)
    | ~ m_main_v_state2(s82,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2422,plain,
    ( m_main_v_turn(s82,c_2)
    | ~ node12(s82) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2424,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_2425,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_2424]) ).

tcf(c_2434,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_2435,plain,
    ( ~ m_main_v_state2(s84,c_c2)
    | ~ m_main_v_state2(s84,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2436,plain,
    ( ~ m_main_v_state2(s84,c_c2)
    | ~ m_main_v_state2(s84,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2444,plain,
    ( ~ m_main_v_state2(s85,c_c2)
    | ~ m_main_v_state2(s85,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2450,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node15(s41) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2451,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node15(s42) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2453,plain,
    ( ~ m_main_v_state2(s86,c_c2)
    | ~ m_main_v_state2(s86,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2456,plain,
    ( m_main_v_turn(s86,c_2)
    | ~ node12(s86) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2458,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_2459,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_2458]) ).

tcf(c_2468,plain,
    ! [X0: $i] :
      ( node12(s88)
      | node11(s88)
      | node10(s88)
      | node9(s88)
      | node8(s88)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s88,c_c2)
      | ~ node14(s88,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2469,plain,
    ( ~ m_main_v_state2(s88,c_c2)
    | ~ m_main_v_state2(s88,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2470,plain,
    ( ~ m_main_v_state2(s88,c_c2)
    | ~ m_main_v_state2(s88,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2478,plain,
    ( ~ m_main_v_state2(s89,c_c2)
    | ~ m_main_v_state2(s89,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2487,plain,
    ( ~ m_main_v_state2(s90,c_c2)
    | ~ m_main_v_state2(s90,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2490,plain,
    ( m_main_v_turn(s90,c_2)
    | ~ node12(s90) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2492,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_2493,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_2492]) ).

tcf(c_2500,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_2501,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_2500]) ).

tcf(c_2502,plain,
    ! [X0: $i] :
      ( node12(s92)
      | node11(s92)
      | node10(s92)
      | node9(s92)
      | node8(s92)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s92,c_c2)
      | ~ node14(s92,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2503,plain,
    ( ~ m_main_v_state2(s92,c_c2)
    | ~ m_main_v_state2(s92,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2504,plain,
    ( ~ m_main_v_state2(s92,c_c2)
    | ~ m_main_v_state2(s92,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2512,plain,
    ( ~ m_main_v_state2(s93,c_c2)
    | ~ m_main_v_state2(s93,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2518,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node15(s45) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2521,plain,
    ( ~ m_main_v_state2(s94,c_c2)
    | ~ m_main_v_state2(s94,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2524,plain,
    ( m_main_v_turn(s94,c_2)
    | ~ node12(s94) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2526,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_2527,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_2526]) ).

tcf(c_2534,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_2535,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_2534]) ).

tcf(c_2536,plain,
    ! [X0: $i] :
      ( node12(s96)
      | node11(s96)
      | node10(s96)
      | node9(s96)
      | node8(s96)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s96,c_c2)
      | ~ node14(s96,X0) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_2537,plain,
    ( ~ m_main_v_state2(s96,c_c2)
    | ~ m_main_v_state2(s96,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2538,plain,
    ( ~ m_main_v_state2(s96,c_c2)
    | ~ m_main_v_state2(s96,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2546,plain,
    ( ~ m_main_v_state2(s97,c_c2)
    | ~ m_main_v_state2(s97,c_n2) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_2555,plain,
    ( ~ m_main_v_state2(s98,c_c2)
    | ~ m_main_v_state2(s98,c_t2) ),
    inference(instantiation,[status(thm)],[c_338]) ).

tcf(c_2558,plain,
    ( m_main_v_turn(s98,c_2)
    | ~ node12(s98) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_2560,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_2561,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_2560]) ).

tcf(c_2567,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2568,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2575,plain,
    ( ~ m_main_v_state1(s4,c_c1)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2583,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2584,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2591,plain,
    ( ~ m_main_v_state1(s8,c_c1)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2599,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2600,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2607,plain,
    ( ~ m_main_v_state1(s12,c_c1)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2615,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2616,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2620,plain,
    ( ~ m_main_v_state1(s15,c_c1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2623,plain,
    ( ~ m_main_v_state1(s16,c_c1)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2631,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2632,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2636,plain,
    ( ~ m_main_v_state1(s19,c_c1)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2638,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node15(s49) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2639,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node15(s50) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2641,plain,
    ( ~ m_main_v_state1(s20,c_c1)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2649,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2650,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2657,plain,
    ( ~ m_main_v_state1(s24,c_c1)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2665,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2666,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2670,plain,
    ( ~ m_main_v_state1(s27,c_c1)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2673,plain,
    ( ~ m_main_v_state1(s28,c_c1)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2681,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2682,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2686,plain,
    ( ~ m_main_v_state1(s31,c_c1)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2689,plain,
    ( ~ m_main_v_state1(s32,c_c1)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2697,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2698,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2705,plain,
    ( ~ m_main_v_state1(s36,c_c1)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2713,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2714,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2721,plain,
    ( ~ m_main_v_state1(s40,c_c1)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2729,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2730,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2737,plain,
    ( ~ m_main_v_state1(s44,c_c1)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2747,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2748,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2755,plain,
    ( ~ m_main_v_state1(s48,c_c1)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2763,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2764,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2771,plain,
    ( ~ m_main_v_state1(s52,c_c1)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2779,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node15(s54) ),
    inference(instantiation,[status(thm)],[c_386]) ).

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_2791,plain,
    ( ~ m_main_v_state1(s56,c_c1)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2799,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node15(s58) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2801,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2802,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2811,plain,
    ( ~ m_main_v_state1(s60,c_c1)
    | ~ m_main_v_state1(s60,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2822,plain,
    ( ~ m_main_v_state1(s62,c_c1)
    | ~ m_main_v_state1(s62,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2823,plain,
    ( ~ m_main_v_state1(s62,c_c1)
    | ~ m_main_v_state1(s62,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2827,plain,
    ( ~ m_main_v_state1(s63,c_c1)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2831,plain,
    ( ~ m_main_v_state1(s64,c_c1)
    | ~ m_main_v_state1(s64,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2834,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node15(s65) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2839,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node15(s66) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2841,plain,
    ( ~ m_main_v_state1(s66,c_c1)
    | ~ m_main_v_state1(s66,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2842,plain,
    ( ~ m_main_v_state1(s66,c_c1)
    | ~ m_main_v_state1(s66,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2847,plain,
    ( ~ m_main_v_state1(s67,c_c1)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2851,plain,
    ( ~ m_main_v_state1(s68,c_c1)
    | ~ m_main_v_state1(s68,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2859,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node15(s70) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2861,plain,
    ( ~ m_main_v_state1(s70,c_c1)
    | ~ m_main_v_state1(s70,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2862,plain,
    ( ~ m_main_v_state1(s70,c_c1)
    | ~ m_main_v_state1(s70,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2867,plain,
    ( ~ m_main_v_state1(s71,c_c1)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2871,plain,
    ( ~ m_main_v_state1(s72,c_c1)
    | ~ m_main_v_state1(s72,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2881,plain,
    ( ~ m_main_v_state1(s74,c_c1)
    | ~ m_main_v_state1(s74,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2882,plain,
    ( ~ m_main_v_state1(s74,c_c1)
    | ~ m_main_v_state1(s74,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2891,plain,
    ( ~ m_main_v_state1(s76,c_c1)
    | ~ m_main_v_state1(s76,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2894,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node15(s77) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2901,plain,
    ( ~ m_main_v_state1(s78,c_c1)
    | ~ m_main_v_state1(s78,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2902,plain,
    ( ~ m_main_v_state1(s78,c_c1)
    | ~ m_main_v_state1(s78,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2907,plain,
    ( ~ m_main_v_state1(s79,c_c1)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2911,plain,
    ( ~ m_main_v_state1(s80,c_c1)
    | ~ m_main_v_state1(s80,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2921,plain,
    ( ~ m_main_v_state1(s82,c_c1)
    | ~ m_main_v_state1(s82,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2922,plain,
    ( ~ m_main_v_state1(s82,c_c1)
    | ~ m_main_v_state1(s82,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2927,plain,
    ( ~ m_main_v_state1(s83,c_c1)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2931,plain,
    ( ~ m_main_v_state1(s84,c_c1)
    | ~ m_main_v_state1(s84,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2934,plain,
    ( m_main_v_state1(s85,c_n1)
    | ~ node15(s85) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2941,plain,
    ( ~ m_main_v_state1(s86,c_c1)
    | ~ m_main_v_state1(s86,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2942,plain,
    ( ~ m_main_v_state1(s86,c_c1)
    | ~ m_main_v_state1(s86,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2951,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node15(s90) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2953,plain,
    ( ~ m_main_v_state1(s88,c_c1)
    | ~ m_main_v_state1(s88,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2961,plain,
    ( ~ m_main_v_state1(s90,c_c1)
    | ~ m_main_v_state1(s90,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2962,plain,
    ( ~ m_main_v_state1(s90,c_c1)
    | ~ m_main_v_state1(s90,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2971,plain,
    ( ~ m_main_v_state1(s92,c_c1)
    | ~ m_main_v_state1(s92,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2979,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node15(s94) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2981,plain,
    ( ~ m_main_v_state1(s94,c_c1)
    | ~ m_main_v_state1(s94,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2982,plain,
    ( ~ m_main_v_state1(s94,c_c1)
    | ~ m_main_v_state1(s94,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_2991,plain,
    ( ~ m_main_v_state1(s96,c_c1)
    | ~ m_main_v_state1(s96,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_2994,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node15(s97) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_2999,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node15(s98) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_3000,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_3001,plain,
    ( ~ m_main_v_state1(s98,c_c1)
    | ~ m_main_v_state1(s98,c_t1) ),
    inference(instantiation,[status(thm)],[c_334]) ).

tcf(c_3002,plain,
    ( ~ m_main_v_state1(s98,c_c1)
    | ~ m_main_v_state1(s98,c_n1) ),
    inference(instantiation,[status(thm)],[c_333]) ).

tcf(c_3003,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_3000]) ).

tcf(c_3004,plain,
    ( xuntil28(s1)
    | node26(s1)
    | ~ until27(s1) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_3044,plain,
    ( ~ m_main_v_turn(s1,c_2)
    | ~ m_main_v_turn(s1,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_3050,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node12(s4) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3051,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node11(s4) ),
    inference(instantiation,[status(thm)],[c_371]) ).

tcf(c_3052,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node5(s4) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_3053,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node1(s4) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3054,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node26(s4) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3062,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node15(s5) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3066,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node1(s5) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3067,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node26(s5) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3102,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node12(s8) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3104,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node5(s8) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_3106,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node26(s8) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3114,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node15(s9) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3118,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node1(s9) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3119,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node26(s9) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3154,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node12(s12) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3158,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node26(s12) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3171,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node26(s13) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3210,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node12(s16) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3211,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node11(s16) ),
    inference(instantiation,[status(thm)],[c_371]) ).

tcf(c_3213,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node1(s16) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3214,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node26(s16) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3222,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node15(s17) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3226,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node1(s17) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3227,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node26(s17) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3262,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node12(s20) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3264,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node5(s20) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_3266,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node26(s20) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3274,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node15(s21) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3278,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node1(s21) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3279,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node26(s21) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3314,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node12(s24) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3315,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node11(s24) ),
    inference(instantiation,[status(thm)],[c_371]) ).

tcf(c_3317,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node1(s24) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3318,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node26(s24) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3326,plain,
    ( m_main_v_state2(s25,c_t2)
    | ~ node15(s25) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3330,plain,
    ( m_main_v_state2(s25,c_t2)
    | ~ node1(s25) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3331,plain,
    ( m_main_v_state2(s25,c_t2)
    | ~ node26(s25) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3370,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node12(s28) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3371,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node11(s28) ),
    inference(instantiation,[status(thm)],[c_371]) ).

tcf(c_3374,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node26(s28) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3387,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node26(s29) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3422,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node12(s32) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3423,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node11(s32) ),
    inference(instantiation,[status(thm)],[c_371]) ).

tcf(c_3425,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node1(s32) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3426,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node26(s32) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3434,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node15(s33) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3438,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node1(s33) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3439,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node26(s33) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3474,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node12(s36) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3475,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node11(s36) ),
    inference(instantiation,[status(thm)],[c_371]) ).

tcf(c_3477,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node1(s36) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3478,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node26(s36) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3486,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node15(s37) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_3490,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node1(s37) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_3491,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node26(s37) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3526,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node12(s40) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3530,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node26(s40) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3537,plain,
    ( ~ m_main_v_turn(s2,c_2)
    | ~ m_main_v_turn(s2,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_3547,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node26(s41) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3582,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node12(s44) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3586,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node26(s44) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3599,plain,
    ( m_main_v_state2(s45,c_t2)
    | ~ node26(s45) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3634,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node12(s48) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_3638,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node26(s48) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3651,plain,
    ( m_main_v_state2(s49,c_t2)
    | ~ node26(s49) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_3788,plain,
    ( m_main_v_turn(s1,c_1)
    | ~ node17(s0,s1)
    | ~ m_main_v_turn(s0,c_1) ),
    inference(instantiation,[status(thm)],[c_1705]) ).

tcf(c_3797,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node8(s1) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_3800,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_1756]) ).

tcf(c_3804,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_1790]) ).

tcf(c_3808,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_1824]) ).

tcf(c_3812,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_1858]) ).

tcf(c_3816,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_1892]) ).

tcf(c_3820,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_1926]) ).

tcf(c_3824,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_1960]) ).

tcf(c_3829,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_1994]) ).

tcf(c_3833,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_2028]) ).

tcf(c_3837,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_2062]) ).

tcf(c_3841,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_2096]) ).

tcf(c_3845,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_2130]) ).

tcf(c_3849,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_2164]) ).

tcf(c_3951,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_2196]) ).

tcf(c_3955,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_2230]) ).

tcf(c_3959,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_2264]) ).

tcf(c_3963,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_2298]) ).

tcf(c_3967,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_2332]) ).

tcf(c_3971,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_2366]) ).

tcf(c_3975,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_2400]) ).

tcf(c_3979,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_2434]) ).

tcf(c_3983,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_2468]) ).

tcf(c_3987,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_2502]) ).

tcf(c_3991,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_2536]) ).

tcf(c_4091,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_358]) ).

tcf(c_4488,plain,
    ( always25(s1)
    | ~ node26(s1) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_4521,plain,
    ( ~ m_main_v_state2(s1,c_t2)
    | ~ m_main_v_state2(s1,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_4979,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node9(s1) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_4981,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node9(s2) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_4984,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node9(s3) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_4986,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node9(s4) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_4990,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node8(s6) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_4991,plain,
    ( m_main_v_state1(s7,c_t1)
    | ~ node8(s7) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_4994,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node8(s8) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_4998,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node8(s10) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_5000,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node8(s11) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_5002,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node8(s12) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_5006,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node8(s14) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_5007,plain,
    ( m_main_v_state1(s15,c_t1)
    | ~ node8(s15) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_5010,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node8(s16) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_5014,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node8(s18) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_5051,plain,
    ( ~ m_main_v_state2(s19,c_t2)
    | ~ m_main_v_state2(s19,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5135,plain,
    ( ~ m_main_v_state2(s21,c_t2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5173,plain,
    ( ~ m_main_v_state2(s22,c_t2)
    | ~ m_main_v_state2(s22,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5186,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_1932]) ).

tcf(c_5287,plain,
    ( ~ m_main_v_state2(s25,c_t2)
    | ~ m_main_v_state2(s25,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5333,plain,
    ( ~ m_main_v_state2(s26,c_t2)
    | ~ m_main_v_state2(s26,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5342,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_1966]) ).

tcf(c_5371,plain,
    ( ~ m_main_v_state2(s27,c_t2)
    | ~ m_main_v_state2(s27,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5447,plain,
    ( ~ m_main_v_state2(s29,c_t2)
    | ~ m_main_v_state2(s29,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5485,plain,
    ( ~ m_main_v_state2(s30,c_t2)
    | ~ m_main_v_state2(s30,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5607,plain,
    ( ~ m_main_v_state2(s33,c_t2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5645,plain,
    ( ~ m_main_v_state2(s34,c_t2)
    | ~ m_main_v_state2(s34,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5759,plain,
    ( ~ m_main_v_state2(s37,c_t2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5797,plain,
    ( ~ m_main_v_state2(s38,c_t2)
    | ~ m_main_v_state2(s38,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5919,plain,
    ( ~ m_main_v_state2(s41,c_t2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_5982,plain,
    ( ~ m_main_v_state2(s42,c_t2)
    | ~ m_main_v_state2(s42,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_6063,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node8(s46) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6065,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node8(s47) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6067,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node8(s48) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6071,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node8(s50) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6073,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node8(s51) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6075,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node8(s52) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6079,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node8(s54) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6081,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node8(s55) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6083,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node8(s56) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6087,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node8(s58) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6089,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node8(s59) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6099,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node8(s60) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6103,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node8(s62) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6104,plain,
    ( m_main_v_state1(s63,c_t1)
    | ~ node8(s63) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6107,plain,
    ( m_main_v_state2(s64,c_n2)
    | ~ node8(s64) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6111,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node8(s66) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6112,plain,
    ( m_main_v_state1(s67,c_t1)
    | ~ node8(s67) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6115,plain,
    ( m_main_v_state2(s68,c_n2)
    | ~ node8(s68) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6119,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node8(s70) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6120,plain,
    ( m_main_v_state1(s71,c_t1)
    | ~ node8(s71) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6123,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node8(s72) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6127,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node8(s74) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6128,plain,
    ( m_main_v_state1(s75,c_t1)
    | ~ node8(s75) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6131,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node8(s76) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6134,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node8(s78) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6136,plain,
    ( m_main_v_state1(s79,c_t1)
    | ~ node8(s79) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6139,plain,
    ( m_main_v_state2(s80,c_n2)
    | ~ node8(s80) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6143,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node8(s82) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6144,plain,
    ( m_main_v_state1(s83,c_t1)
    | ~ node8(s83) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6147,plain,
    ( m_main_v_state2(s84,c_n2)
    | ~ node8(s84) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6159,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node8(s86) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6161,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node8(s87) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6163,plain,
    ( m_main_v_state2(s88,c_n2)
    | ~ node8(s88) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6167,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node8(s90) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6168,plain,
    ( m_main_v_state1(s91,c_t1)
    | ~ node8(s91) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6171,plain,
    ( m_main_v_state2(s92,c_n2)
    | ~ node8(s92) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6175,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node8(s94) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6177,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node8(s95) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6179,plain,
    ( m_main_v_state2(s96,c_n2)
    | ~ node8(s96) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6214,plain,
    ( ~ m_main_v_state1(s1,c_t1)
    | ~ m_main_v_state1(s1,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_6631,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node8(s98) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6636,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node8(s2) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_6639,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node8(s3) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6641,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node8(s4) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_6645,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node10(s6) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_6647,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node3(s8) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_6661,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node2(s10) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_6666,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node1(s12) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_6713,plain,
    ( m_main_v_state2(s14,c_c2)
    | ~ node3(s14) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_6716,plain,
    ( m_main_v_state1(s15,c_c1)
    | ~ node10(s15) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_6718,plain,
    ( m_main_v_state1(s16,c_c1)
    | ~ node10(s16) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_7157,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_7667,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_7670,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node16(s1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_7671,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node10(s1) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_7674,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node4(s1) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_7675,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node2(s1) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_7685,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s2,X0)
      | ~ node17(s1,s2)
      | ~ m_main_v_turn(s1,X0) ),
    inference(instantiation,[status(thm)],[c_390]) ).

tcf(c_7688,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s2,X0)
      | ~ node17(s2,s3)
      | ~ m_main_v_turn(s3,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_7693,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node11(s2) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7695,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node3(s2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7696,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node2(s2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7697,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node1(s2) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7706,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node10(s3) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_7713,plain,
    ( ~ m_main_v_state1(s4,c_t1)
    | ~ m_main_v_state1(s4,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_7747,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node11(s6) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7749,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node3(s6) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7750,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node2(s6) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7751,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node1(s6) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7768,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node10(s7) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_7769,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node9(s7) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_7775,plain,
    ( ~ m_main_v_state1(s8,c_t1)
    | ~ m_main_v_state1(s8,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_7786,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node11(s8) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7787,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node9(s8) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_7789,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node2(s8) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7790,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node1(s8) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7821,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node11(s10) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7825,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node1(s10) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7834,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node10(s11) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_7835,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node9(s11) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_7841,plain,
    ( ~ m_main_v_state1(s12,c_t1)
    | ~ m_main_v_state1(s12,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_7852,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node11(s12) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7853,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node9(s12) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_7854,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node3(s12) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7855,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node2(s12) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7883,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node11(s14) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7884,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node9(s14) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_7886,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node2(s14) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_7887,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node1(s14) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7897,plain,
    ( m_main_v_state2(s15,c_n2)
    | ~ node9(s15) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_7916,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node3(s16) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_7952,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node11(s18) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7956,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node1(s18) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_7980,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s19,c_n1)
      | ~ node7(X0,s19)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_7994,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node10(s20) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_7996,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node8(s20) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_7997,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node4(s20) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8028,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_8029,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s22,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s23,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_8031,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node16(s22) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_8032,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node10(s22) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8033,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node9(s22) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8034,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node8(s22) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8035,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node4(s22) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8036,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node2(s22) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8051,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node10(s23) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8052,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node9(s23) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8053,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node8(s23) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8071,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node9(s24) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8072,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node8(s24) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8073,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node4(s24) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8074,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node2(s24) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8104,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_8108,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node10(s26) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8109,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node9(s26) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8110,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node8(s26) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8111,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node4(s26) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8112,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node2(s26) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8132,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node9(s27) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8150,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node10(s28) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8152,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node8(s28) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8153,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node4(s28) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8184,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_8188,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node10(s30) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8189,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node9(s30) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8192,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node2(s30) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8208,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node9(s31) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8227,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node9(s32) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8228,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node8(s32) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8229,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node4(s32) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8230,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node2(s32) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8260,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_8263,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node16(s34) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_8264,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node10(s34) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8265,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node9(s34) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8266,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node8(s34) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8267,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node4(s34) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8268,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node2(s34) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8284,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s10,X0)
      | ~ node17(s10,s11)
      | ~ m_main_v_turn(s11,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_8287,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node10(s35) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8288,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node9(s35) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8289,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node8(s35) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8307,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node9(s36) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8308,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node8(s36) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8309,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node4(s36) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8310,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node2(s36) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8340,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_8341,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s38,X0)
      | ~ node13(s38,s39)
      | ~ m_main_v_state2(s39,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_8343,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node16(s38) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_8344,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node10(s38) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8345,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node9(s38) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8346,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node8(s38) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8347,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node4(s38) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8348,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node2(s38) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8363,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node10(s39) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8364,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node9(s39) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8365,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node8(s39) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8384,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node8(s40) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8385,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node4(s40) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8416,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_8417,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_8419,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node16(s42) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_8420,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node10(s42) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8421,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node9(s42) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8422,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node8(s42) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8423,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node4(s42) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8424,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node2(s42) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_8439,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node10(s43) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8440,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node9(s43) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8441,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node8(s43) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8464,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node8(s44) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_8465,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node4(s44) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_8506,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node10(s47) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8507,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node9(s47) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8513,plain,
    ( ~ m_main_v_state1(s48,c_t1)
    | ~ m_main_v_state1(s48,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8552,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node10(s51) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8553,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node9(s51) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8559,plain,
    ( ~ m_main_v_state1(s52,c_t1)
    | ~ m_main_v_state1(s52,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8569,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s14,X0)
      | ~ node17(s14,s15)
      | ~ m_main_v_turn(s15,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_8602,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node10(s55) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8603,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node9(s55) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8609,plain,
    ( ~ m_main_v_state1(s56,c_t1)
    | ~ m_main_v_state1(s56,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8648,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node10(s59) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8649,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node9(s59) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8655,plain,
    ( ~ m_main_v_state1(s60,c_t1)
    | ~ m_main_v_state1(s60,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8699,plain,
    ( m_main_v_state2(s63,c_n2)
    | ~ node9(s63) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8705,plain,
    ( ~ m_main_v_state1(s64,c_t1)
    | ~ m_main_v_state1(s64,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8745,plain,
    ( m_main_v_state2(s67,c_n2)
    | ~ node9(s67) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8751,plain,
    ( ~ m_main_v_state1(s68,c_t1)
    | ~ m_main_v_state1(s68,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8763,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s18,X0)
      | ~ node17(s18,s19)
      | ~ m_main_v_turn(s19,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_8795,plain,
    ( m_main_v_state2(s71,c_n2)
    | ~ node9(s71) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8801,plain,
    ( ~ m_main_v_state1(s72,c_t1)
    | ~ m_main_v_state1(s72,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8840,plain,
    ( m_main_v_state2(s75,c_n2)
    | ~ node10(s75) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8841,plain,
    ( m_main_v_state2(s75,c_n2)
    | ~ node9(s75) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8847,plain,
    ( ~ m_main_v_state1(s76,c_t1)
    | ~ m_main_v_state1(s76,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8891,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node9(s79) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8897,plain,
    ( ~ m_main_v_state1(s80,c_t1)
    | ~ m_main_v_state1(s80,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8937,plain,
    ( m_main_v_state2(s83,c_n2)
    | ~ node9(s83) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8943,plain,
    ( ~ m_main_v_state1(s84,c_t1)
    | ~ m_main_v_state1(s84,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_8960,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s22,X0)
      | ~ node17(s22,s23)
      | ~ m_main_v_turn(s23,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_8986,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node10(s87) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_8987,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node9(s87) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8993,plain,
    ( ~ m_main_v_state1(s88,c_t1)
    | ~ m_main_v_state1(s88,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9032,plain,
    ( m_main_v_state2(s91,c_n2)
    | ~ node10(s91) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_9033,plain,
    ( m_main_v_state2(s91,c_n2)
    | ~ node9(s91) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_9039,plain,
    ( ~ m_main_v_state1(s92,c_t1)
    | ~ m_main_v_state1(s92,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9082,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node10(s95) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_9083,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node9(s95) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_9089,plain,
    ( ~ m_main_v_state1(s96,c_t1)
    | ~ m_main_v_state1(s96,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_9122,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node11(s98) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_9124,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node3(s98) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_9126,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node1(s98) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_9138,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node4(s2) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_9156,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_9169,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node5(s10) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_9172,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s1)
      | ~ succ(s1,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_9539,plain,
    ( ~ m_main_v_state2(s46,c_t2)
    | ~ m_main_v_state2(s46,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_9583,plain,
    ( ~ m_main_v_state2(s50,c_t2)
    | ~ m_main_v_state2(s50,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_9642,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node9(s18) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_9645,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_9647,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_9698,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_357]) ).

tcf(c_9702,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_357]) ).

tcf(c_9706,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_357]) ).

tcf(c_9710,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_357]) ).

tcf(c_9714,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_357]) ).

tcf(c_9742,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_9746,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_9750,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_9754,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_9758,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_9762,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_9766,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_9770,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_9774,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_9778,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_9782,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_9786,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_9790,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_10083,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node11(s84) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10084,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node9(s84) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_10085,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node3(s84) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_10086,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node2(s84) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_10087,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node1(s84) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10095,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_10100,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node11(s86) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10104,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node1(s86) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10113,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node11(s88) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10114,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node9(s88) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_10115,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node3(s88) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_10116,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node2(s88) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_10117,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node1(s88) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10134,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node11(s92) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10135,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node9(s92) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_10136,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node3(s92) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_10137,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node2(s92) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_10138,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node1(s92) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10173,plain,
    ( m_main_v_state2(s2,c_t2)
    | ~ node13(s1,s2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_7667]) ).

tcf(c_10225,plain,
    ( m_main_v_state2(s23,c_t2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_8028]) ).

tcf(c_10249,plain,
    ( m_main_v_state2(s27,c_t2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_8104]) ).

tcf(c_10273,plain,
    ( m_main_v_state2(s31,c_t2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_8184]) ).

tcf(c_10301,plain,
    ( m_main_v_state2(s35,c_t2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_8260]) ).

tcf(c_10325,plain,
    ( m_main_v_state2(s39,c_t2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_8340]) ).

tcf(c_10349,plain,
    ( m_main_v_state2(s43,c_t2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_8416]) ).

tcf(c_10370,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node2(s46) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_10462,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node2(s86) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_10568,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node4(s12) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_10590,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node2(s18) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_10707,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node4(s48) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_10713,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node4(s50) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_10813,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_10822,plain,
    ( m_main_v_state1(s86,c_t1)
    | ~ node5(s86) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_10834,plain,
    ( m_main_v_state2(s88,c_t2)
    | ~ node5(s88) ),
    inference(instantiation,[status(thm)],[c_353]) ).

tcf(c_10842,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_10852,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_10899,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node11(s1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10901,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node3(s1) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_10903,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node1(s1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10906,plain,
    ( until27(s2)
    | ~ xuntil28(s1)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_9172]) ).

tcf(c_10911,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node11(s46) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10915,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node1(s46) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10921,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node11(s48) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10922,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node9(s48) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_10923,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node3(s48) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_10924,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node2(s48) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_10925,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node1(s48) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10931,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node11(s50) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_10935,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node1(s50) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_10938,plain,
    ( ~ m_main_v_state2(s2,c_t2)
    | ~ m_main_v_state2(s2,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10943,plain,
    ( ~ m_main_v_state2(s10,c_t2)
    | ~ m_main_v_state2(s10,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10945,plain,
    ( ~ m_main_v_state2(s14,c_t2)
    | ~ m_main_v_state2(s14,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10950,plain,
    ( ~ m_main_v_state2(s54,c_t2)
    | ~ m_main_v_state2(s54,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10961,plain,
    ( ~ m_main_v_state2(s58,c_t2)
    | ~ m_main_v_state2(s58,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10963,plain,
    ( ~ m_main_v_state2(s62,c_t2)
    | ~ m_main_v_state2(s62,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10965,plain,
    ( ~ m_main_v_state2(s66,c_t2)
    | ~ m_main_v_state2(s66,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10967,plain,
    ( ~ m_main_v_state2(s70,c_t2)
    | ~ m_main_v_state2(s70,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10969,plain,
    ( ~ m_main_v_state2(s74,c_t2)
    | ~ m_main_v_state2(s74,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10971,plain,
    ( ~ m_main_v_state2(s78,c_t2)
    | ~ m_main_v_state2(s78,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10973,plain,
    ( ~ m_main_v_state2(s82,c_t2)
    | ~ m_main_v_state2(s82,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10975,plain,
    ( ~ m_main_v_state2(s86,c_t2)
    | ~ m_main_v_state2(s86,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10977,plain,
    ( ~ m_main_v_state2(s90,c_t2)
    | ~ m_main_v_state2(s90,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10979,plain,
    ( ~ m_main_v_state2(s94,c_t2)
    | ~ m_main_v_state2(s94,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10981,plain,
    ( ~ m_main_v_state2(s18,c_t2)
    | ~ m_main_v_state2(s18,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10982,plain,
    ( ~ m_main_v_state2(s6,c_t2)
    | ~ m_main_v_state2(s6,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_10991,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s3,c_n1)
      | ~ node7(X0,s3)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11002,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s7,c_n1)
      | ~ node7(X0,s7)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11010,plain,
    ( m_main_v_state1(s9,c_n1)
    | ~ node2(s9) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11029,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s11,c_n1)
      | ~ node7(X0,s11)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11036,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node3(s13) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11037,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node2(s13) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11038,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node1(s13) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11049,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s15,c_n1)
      | ~ node7(X0,s15)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11070,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s47,c_n1)
      | ~ node7(X0,s47)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11076,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node3(s49) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11077,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node2(s49) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11078,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node1(s49) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11088,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s51,c_n1)
      | ~ node7(X0,s51)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11092,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node11(s52) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11093,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node9(s52) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11094,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node3(s52) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11095,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node2(s52) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11096,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node1(s52) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11104,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node2(s53) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11110,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node11(s54) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11114,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node1(s54) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11124,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s55,c_n1)
      | ~ node7(X0,s55)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11128,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node11(s56) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11129,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node9(s56) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11130,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node3(s56) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11131,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node2(s56) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11132,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node1(s56) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11139,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node3(s57) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11140,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node2(s57) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11141,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node1(s57) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11146,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node11(s58) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11150,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node1(s58) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11160,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s59,c_n1)
      | ~ node7(X0,s59)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11164,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node11(s60) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11165,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node9(s60) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11166,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node3(s60) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11167,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node2(s60) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11168,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node1(s60) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11175,plain,
    ( m_main_v_state1(s61,c_n1)
    | ~ node3(s61) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11176,plain,
    ( m_main_v_state1(s61,c_n1)
    | ~ node2(s61) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11182,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node11(s62) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11184,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node3(s62) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11186,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node1(s62) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11196,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s63,c_n1)
      | ~ node7(X0,s63)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11200,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node11(s64) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11201,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node9(s64) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11202,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node3(s64) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11203,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node2(s64) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11204,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node1(s64) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11211,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node3(s65) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11212,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node2(s65) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11213,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node1(s65) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11218,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node11(s66) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11220,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node3(s66) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11222,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node1(s66) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11232,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s67,c_n1)
      | ~ node7(X0,s67)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11236,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node11(s68) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11237,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node9(s68) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11238,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node3(s68) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11239,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node2(s68) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11240,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node1(s68) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11248,plain,
    ( m_main_v_state1(s69,c_n1)
    | ~ node2(s69) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11254,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node11(s70) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11258,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node1(s70) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11268,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s71,c_n1)
      | ~ node7(X0,s71)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11272,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node11(s72) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11273,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node9(s72) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11274,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node3(s72) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11275,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node2(s72) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11276,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node1(s72) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11283,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node3(s73) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11284,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node2(s73) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11290,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node11(s74) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11294,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node1(s74) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11304,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s75,c_n1)
      | ~ node7(X0,s75)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11308,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node11(s76) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11309,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node9(s76) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11310,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node3(s76) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11311,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node2(s76) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11312,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node1(s76) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11319,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node3(s77) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11320,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node2(s77) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11321,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node1(s77) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11326,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node11(s78) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11327,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node9(s78) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11328,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node3(s78) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11329,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node2(s78) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11330,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node1(s78) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11340,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s79,c_n1)
      | ~ node7(X0,s79)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11344,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node11(s80) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11345,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node9(s80) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_11346,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node3(s80) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11347,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node2(s80) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11348,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node1(s80) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11355,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node3(s81) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11356,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node2(s81) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11362,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node11(s82) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11366,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node1(s82) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11376,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s83,c_n1)
      | ~ node7(X0,s83)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11383,plain,
    ( m_main_v_state1(s85,c_n1)
    | ~ node3(s85) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11384,plain,
    ( m_main_v_state1(s85,c_n1)
    | ~ node2(s85) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11385,plain,
    ( m_main_v_state1(s85,c_n1)
    | ~ node1(s85) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11396,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s87,c_n1)
      | ~ node7(X0,s87)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_11403,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node3(s89) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_11404,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node2(s89) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11405,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node1(s89) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11410,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node11(s90) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_11414,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node1(s90) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_11523,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node10(s2) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_11607,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_362]) ).

tcf(c_11611,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_362]) ).

tcf(c_11615,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_362]) ).

tcf(c_11619,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_362]) ).

tcf(c_11623,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_362]) ).

tcf(c_11627,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_362]) ).

tcf(c_11675,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_362]) ).

tcf(c_11679,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_362]) ).

tcf(c_11852,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node4(s46) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_11894,plain,
    ( m_main_v_turn(s52,c_1)
    | ~ node5(s52) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11897,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node4(s54) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_11949,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_11954,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node5(s58) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_11993,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node4(s60) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12022,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node4(s62) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12024,plain,
    ( m_main_v_state2(s64,c_n2)
    | ~ node4(s64) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12054,plain,
    ( m_main_v_turn(s68,c_1)
    | ~ node5(s68) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_12084,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_12110,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node4(s74) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12112,plain,
    ( m_main_v_turn(s76,c_1)
    | ~ node5(s76) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_12137,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node4(s78) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_12138,plain,
    ( m_main_v_state2(s80,c_n2)
    | ~ node4(s80) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12142,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node4(s82) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12145,plain,
    ( m_main_v_state1(s90,c_t1)
    | ~ node5(s90) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_12148,plain,
    ( m_main_v_state1(s94,c_t1)
    | ~ node5(s94) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_12150,plain,
    ( m_main_v_turn(s96,c_1)
    | ~ node5(s96) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_12171,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node4(s86) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12173,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_12262,plain,
    ( m_main_v_state2(s99,c_t2)
    | ~ node13(s98,s99)
    | ~ m_main_v_state2(s98,c_t2) ),
    inference(instantiation,[status(thm)],[c_9645]) ).

tcf(c_12421,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node4(s10) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_12492,plain,
    ( m_main_v_turn(s2,c_1)
    | ~ node17(s1,s2)
    | ~ m_main_v_turn(s1,c_1) ),
    inference(instantiation,[status(thm)],[c_7685]) ).

tcf(c_12502,plain,
    ( m_main_v_turn(s2,c_2)
    | ~ node17(s2,s3)
    | ~ m_main_v_turn(s3,c_2) ),
    inference(instantiation,[status(thm)],[c_7688]) ).

tcf(c_12576,plain,
    ( m_main_v_turn(s10,c_2)
    | ~ node17(s10,s11)
    | ~ m_main_v_turn(s11,c_2) ),
    inference(instantiation,[status(thm)],[c_8284]) ).

tcf(c_12595,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_12616,plain,
    ( m_main_v_turn(s14,c_2)
    | ~ node17(s14,s15)
    | ~ m_main_v_turn(s15,c_2) ),
    inference(instantiation,[status(thm)],[c_8569]) ).

tcf(c_12635,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_12654,plain,
    ( m_main_v_turn(s18,c_2)
    | ~ node17(s18,s19)
    | ~ m_main_v_turn(s19,c_2) ),
    inference(instantiation,[status(thm)],[c_8763]) ).

tcf(c_12692,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node17(s22,s23)
    | ~ m_main_v_turn(s23,c_2) ),
    inference(instantiation,[status(thm)],[c_8960]) ).

tcf(c_12705,plain,
    ( xuntil28(s2)
    | node26(s2)
    | ~ until27(s2) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_12781,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_12787,plain,
    ( ~ m_main_v_state2(s3,c_t2)
    | ~ m_main_v_state2(s3,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12789,plain,
    ( ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state2(s7,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12790,plain,
    ( ~ m_main_v_state2(s9,c_t2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12792,plain,
    ( ~ m_main_v_state2(s13,c_t2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12821,plain,
    ( ~ m_main_v_state2(s49,c_t2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12823,plain,
    ( ~ m_main_v_state2(s53,c_t2)
    | ~ m_main_v_state2(s53,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12825,plain,
    ( ~ m_main_v_state2(s57,c_t2)
    | ~ m_main_v_state2(s57,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12827,plain,
    ( ~ m_main_v_state2(s61,c_t2)
    | ~ m_main_v_state2(s61,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12829,plain,
    ( ~ m_main_v_state2(s65,c_t2)
    | ~ m_main_v_state2(s65,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12831,plain,
    ( ~ m_main_v_state2(s69,c_t2)
    | ~ m_main_v_state2(s69,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12832,plain,
    ( ~ m_main_v_state2(s71,c_t2)
    | ~ m_main_v_state2(s71,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12833,plain,
    ( ~ m_main_v_state2(s73,c_t2)
    | ~ m_main_v_state2(s73,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12834,plain,
    ( ~ m_main_v_state2(s75,c_t2)
    | ~ m_main_v_state2(s75,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12835,plain,
    ( ~ m_main_v_state2(s77,c_t2)
    | ~ m_main_v_state2(s77,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12836,plain,
    ( ~ m_main_v_state2(s79,c_t2)
    | ~ m_main_v_state2(s79,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12837,plain,
    ( ~ m_main_v_state2(s81,c_t2)
    | ~ m_main_v_state2(s81,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12838,plain,
    ( ~ m_main_v_state2(s83,c_t2)
    | ~ m_main_v_state2(s83,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12839,plain,
    ( ~ m_main_v_state2(s85,c_t2)
    | ~ m_main_v_state2(s85,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12841,plain,
    ( ~ m_main_v_state2(s89,c_t2)
    | ~ m_main_v_state2(s89,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12842,plain,
    ( ~ m_main_v_state2(s91,c_t2)
    | ~ m_main_v_state2(s91,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12843,plain,
    ( ~ m_main_v_state2(s93,c_t2)
    | ~ m_main_v_state2(s93,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_12845,plain,
    ( ~ m_main_v_state2(s97,c_t2)
    | ~ m_main_v_state2(s97,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13063,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_13067,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_13071,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_13075,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_13079,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_13083,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_13087,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_13091,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_13095,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_13099,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_13103,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_13107,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_13111,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_13115,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_13119,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_13123,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_13127,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_13131,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_13135,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_13139,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_13143,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_13147,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_13151,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_13155,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_13164,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node2(s94) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_13165,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node2(s96) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_13362,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node1(s26) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13366,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node1(s28) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13368,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node1(s29) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13370,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node1(s30) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13374,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node1(s34) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13386,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node1(s38) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13390,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node1(s40) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13392,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node1(s41) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13394,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node1(s42) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13403,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node13(s98,s99)
    | ~ m_main_v_state2(s99,c_n2) ),
    inference(instantiation,[status(thm)],[c_9647]) ).

tcf(c_13404,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node4(s52) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_13406,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node4(s58) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_13408,plain,
    ( m_main_v_state2(s68,c_n2)
    | ~ node4(s68) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_13410,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node4(s76) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_13412,plain,
    ( ~ m_main_v_state2(s17,c_t2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_13419,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node4(s90) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_13472,plain,
    ( m_main_v_state1(s98,c_t1)
    | ~ node5(s98) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_13513,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node4(s16) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_13557,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node1(s20) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13573,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node1(s22) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13580,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_12595]) ).

tcf(c_13584,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_12635]) ).

tcf(c_13615,plain,
    ( ~ m_main_v_state1(s7,c_t1)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_13673,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node1(s44) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13690,plain,
    ( m_main_v_state2(s93,c_t2)
    | ~ node1(s93) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_13709,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_2)
      | ~ m_main_v_state2(s95,c_t2)
      | ~ m_main_v_state1(s95,c_n1)
      | ~ node18(s95,X0) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_13906,plain,
    ( m_main_v_state1(s9,c_t1)
    | ~ node6(s8,s9)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_9156]) ).

tcf(c_13933,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node1(s97) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_13960,plain,
    ( ~ m_main_v_turn(s6,c_2)
    | ~ m_main_v_turn(s6,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_14038,plain,
    ( ~ m_main_v_turn(s18,c_2)
    | ~ m_main_v_turn(s18,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_14046,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node16(s18) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_14609,plain,
    ( m_main_v_state1(s85,c_t1)
    | ~ node6(s84,s85)
    | ~ m_main_v_state1(s84,c_t1) ),
    inference(instantiation,[status(thm)],[c_10813]) ).

tcf(c_14679,plain,
    ( m_main_v_state1(s93,c_t1)
    | ~ node6(s92,s93)
    | ~ m_main_v_state1(s92,c_t1) ),
    inference(instantiation,[status(thm)],[c_10852]) ).

tcf(c_14752,plain,
    ( m_main_v_state1(s57,c_t1)
    | ~ node6(s56,s57)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_11949]) ).

tcf(c_14800,plain,
    ( m_main_v_state1(s73,c_t1)
    | ~ node6(s72,s73)
    | ~ m_main_v_state1(s72,c_t1) ),
    inference(instantiation,[status(thm)],[c_12084]) ).

tcf(c_14816,plain,
    ( m_main_v_state1(s89,c_t1)
    | ~ node6(s88,s89)
    | ~ m_main_v_state1(s88,c_t1) ),
    inference(instantiation,[status(thm)],[c_12173]) ).

tcf(c_14833,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_7980]) ).

tcf(c_14843,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_10991]) ).

tcf(c_14844,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_11002]) ).

tcf(c_14846,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_11029]) ).

tcf(c_14848,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_11049]) ).

tcf(c_14849,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_11070]) ).

tcf(c_14851,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_11088]) ).

tcf(c_14855,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_11124]) ).

tcf(c_14859,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_11160]) ).

tcf(c_14863,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_11196]) ).

tcf(c_14867,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_11232]) ).

tcf(c_14871,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_11268]) ).

tcf(c_14875,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_11304]) ).

tcf(c_14879,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_11340]) ).

tcf(c_14883,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_11376]) ).

tcf(c_14885,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_11396]) ).

tcf(c_14888,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s2)
      | ~ succ(s2,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_14974,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node2(s25) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_15010,plain,
    ( ~ m_main_v_state2(s98,c_t2)
    | ~ m_main_v_state2(s98,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_15111,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node9(s10) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_15113,plain,
    ( m_main_v_state1(s12,c_c1)
    | ~ node10(s12) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_15115,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node9(s50) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_15117,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node9(s54) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_15122,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node10(s74) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_15126,plain,
    ( m_main_v_state1(s76,c_c1)
    | ~ node10(s76) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_15440,plain,
    ( m_main_v_state2(s90,c_c2)
    | ~ node3(s90) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_15459,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node2(s29) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_15502,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s39,c_n2) ),
    inference(instantiation,[status(thm)],[c_8341]) ).

tcf(c_15506,plain,
    ( m_main_v_state2(s5,c_c2)
    | ~ node3(s5) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_15523,plain,
    ( m_main_v_state2(s42,c_c2)
    | ~ node3(s42) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_15536,plain,
    ( m_main_v_state2(s10,c_c2)
    | ~ node3(s10) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_15627,plain,
    ( ~ m_main_v_turn(s12,c_2)
    | ~ m_main_v_turn(s12,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_15633,plain,
    ( ~ m_main_v_turn(s22,c_2)
    | ~ m_main_v_turn(s22,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_15646,plain,
    ( m_main_v_state2(s26,c_c2)
    | ~ node3(s26) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_15658,plain,
    ( m_main_v_state2(s3,c_t2)
    | ~ node13(s2,s3)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_12781]) ).

tcf(c_15794,plain,
    ( m_main_v_turn(s96,c_2)
    | ~ node18(s95,s96)
    | ~ m_main_v_state2(s95,c_t2)
    | ~ m_main_v_state1(s95,c_n1) ),
    inference(instantiation,[status(thm)],[c_13709]) ).

tcf(c_15824,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s43,c_n2) ),
    inference(instantiation,[status(thm)],[c_8417]) ).

tcf(c_15896,plain,
    ( m_main_v_turn(s60,c_1)
    | ~ node5(s60) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_16026,plain,
    ( m_main_v_state2(s86,c_c2)
    | ~ node3(s86) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_16056,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node3(s96) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_16058,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node3(s97) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_16093,plain,
    ( ~ m_main_v_state1(s21,c_t1)
    | ~ m_main_v_state1(s21,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_16120,plain,
    ( m_main_v_state2(s22,c_c2)
    | ~ node3(s22) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_16225,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node11(s44) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_16268,plain,
    ( ~ m_main_v_turn(s14,c_2)
    | ~ m_main_v_turn(s14,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16275,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node16(s14) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_16290,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s23,c_n2) ),
    inference(instantiation,[status(thm)],[c_8029]) ).

tcf(c_16333,plain,
    ( m_main_v_state2(s94,c_c2)
    | ~ node3(s94) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_16338,plain,
    ( m_main_v_turn(s24,c_1)
    | ~ node5(s24) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_16427,plain,
    ( m_main_v_turn(s28,c_1)
    | ~ node5(s28) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_16430,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node3(s30) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_16444,plain,
    ( m_main_v_state2(s37,c_c2)
    | ~ node3(s37) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_16466,plain,
    ( m_main_v_turn(s44,c_1)
    | ~ node5(s44) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_16473,plain,
    ( m_main_v_state2(s93,c_c2)
    | ~ node3(s93) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_16485,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node4(s8) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_16652,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node16(s50) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_16656,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node17(s50,s51)
    | ~ m_main_v_turn(s51,c_2) ),
    inference(instantiation,[status(thm)],[c_10095]) ).

tcf(c_16660,plain,
    ( ~ m_main_v_turn(s52,c_2)
    | ~ m_main_v_turn(s52,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16824,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node4(s14) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_16872,plain,
    ( ~ m_main_v_turn(s86,c_2)
    | ~ m_main_v_turn(s86,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16899,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node16(s90) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_16903,plain,
    ( m_main_v_turn(s90,c_2)
    | ~ node17(s90,s91)
    | ~ m_main_v_turn(s91,c_2) ),
    inference(instantiation,[status(thm)],[c_10842]) ).

tcf(c_16913,plain,
    ( ~ m_main_v_turn(s92,c_2)
    | ~ m_main_v_turn(s92,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_16921,plain,
    ( m_main_v_state2(s92,c_n2)
    | ~ node4(s92) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_16964,plain,
    ( m_main_v_state1(s70,c_t1)
    | ~ node5(s70) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_16966,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node4(s72) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_16968,plain,
    ( m_main_v_state2(s88,c_n2)
    | ~ node4(s88) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_16983,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node3(s45) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_16992,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node5(s2) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_16994,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node4(s6) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_17002,plain,
    ( m_main_v_turn(s56,c_1)
    | ~ node5(s56) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_17036,plain,
    ( until27(s3)
    | ~ xuntil28(s2)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_14888]) ).

tcf(c_17046,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node9(s98) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_17047,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node10(s10) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_17697,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_392]) ).

tcf(c_17725,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_392]) ).

tcf(c_17753,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_392]) ).

tcf(c_17781,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_392]) ).

tcf(c_17809,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_392]) ).

tcf(c_17837,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_392]) ).

tcf(c_17865,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_392]) ).

tcf(c_17893,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_392]) ).

tcf(c_17921,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_392]) ).

tcf(c_17949,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_392]) ).

tcf(c_17977,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_392]) ).

tcf(c_18005,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_392]) ).

tcf(c_18033,plain,
    ( m_main_v_turn(s80,c_2)
    | ~ node18(s79,s80)
    | ~ m_main_v_state2(s79,c_t2)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_18061,plain,
    ( m_main_v_turn(s84,c_2)
    | ~ node18(s83,s84)
    | ~ m_main_v_state2(s83,c_t2)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_392]) ).

tcf(c_18117,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_392]) ).

tcf(c_18203,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node16(s2) ),
    inference(instantiation,[status(thm)],[c_389]) ).

tcf(c_18210,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_18211,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_18210]) ).

tcf(c_18226,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node4(s4) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_18230,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_18252,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_18253,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_18252]) ).

tcf(c_18290,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_18292,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s10,X0)
      | ~ node13(s10,s11)
      | ~ m_main_v_state2(s11,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_18296,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node12(s10) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_18302,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_18303,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_18302]) ).

tcf(c_18316,plain,
    ( m_main_v_turn(s12,c_1)
    | ~ node5(s12) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18348,plain,
    ( ~ m_main_v_turn(s16,c_2)
    | ~ m_main_v_turn(s16,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_18368,plain,
    ( m_main_v_turn(s16,c_1)
    | ~ node5(s16) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18442,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node3(s24) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_18468,plain,
    ( m_main_v_state1(s27,c_t1)
    | ~ node8(s27) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_18473,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_18474,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_18473]) ).

tcf(c_18514,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node16(s30) ),
    inference(instantiation,[status(thm)],[c_389]) ).

tcf(c_18516,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node8(s30) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_18517,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node5(s30) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_18518,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node4(s30) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_18521,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_18522,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_18521]) ).

tcf(c_18669,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node11(s34) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_18687,plain,
    ( m_main_v_state1(s36,c_c1)
    | ~ node10(s36) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18717,plain,
    ( m_main_v_state1(s38,c_t1)
    | ~ node5(s38) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_18721,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_18722,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_18721]) ).

tcf(c_18731,plain,
    ( m_main_v_state1(s40,c_c1)
    | ~ node10(s40) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_18741,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_18783,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node3(s44) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_18816,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_18817,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_18816]) ).

tcf(c_18842,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node5(s50) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_18846,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s50,c_t1)
      | ~ node7(X0,s50)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_18847,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node7(s99,s50)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_18846]) ).

tcf(c_18862,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node12(s56) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_18866,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node26(s56) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_18875,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_18877,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_18889,plain,
    ( m_main_v_state2(s60,c_t2)
    | ~ node12(s60) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_18893,plain,
    ( m_main_v_state2(s60,c_t2)
    | ~ node26(s60) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_18936,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_18938,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s62,X0)
      | ~ node13(s62,s63)
      | ~ m_main_v_state2(s63,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_18956,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s63,c_t1)
      | ~ node7(X0,s63)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_18957,plain,
    ( m_main_v_state1(s63,c_t1)
    | ~ node7(s99,s63)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_18956]) ).

tcf(c_18981,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node10(s66) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_19021,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node9(s70) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_19024,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node4(s70) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_19082,plain,
    ( m_main_v_state1(s74,c_t1)
    | ~ node5(s74) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_19086,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s74,c_t1)
      | ~ node7(X0,s74)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_19087,plain,
    ( m_main_v_state1(s74,c_t1)
    | ~ node7(s99,s74)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_19086]) ).

tcf(c_19156,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node10(s78) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_19174,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s79,c_t1)
      | ~ node7(X0,s79)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_19175,plain,
    ( m_main_v_state1(s79,c_t1)
    | ~ node7(s99,s79)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_19174]) ).

tcf(c_19195,plain,
    ( m_main_v_state2(s81,c_t2)
    | ~ node15(s81) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_19199,plain,
    ( m_main_v_state2(s81,c_t2)
    | ~ node1(s81) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_19200,plain,
    ( m_main_v_state2(s81,c_t2)
    | ~ node26(s81) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_19239,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s83,c_t1)
      | ~ node7(X0,s83)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_19240,plain,
    ( m_main_v_state1(s83,c_t1)
    | ~ node7(s99,s83)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_19239]) ).

tcf(c_19247,plain,
    ( m_main_v_state2(s84,c_n2)
    | ~ node4(s84) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_19265,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s87,c_t1)
      | ~ node7(X0,s87)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_19266,plain,
    ( m_main_v_state1(s87,c_t1)
    | ~ node7(s99,s87)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_19265]) ).

tcf(c_19269,plain,
    ( m_main_v_state1(s88,c_c1)
    | ~ node10(s88) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19272,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s30,X0)
      | ~ node17(s30,s31)
      | ~ m_main_v_turn(s31,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_19294,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node10(s90) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_19296,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node2(s90) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_19324,plain,
    ( m_main_v_state2(s97,c_t2)
    | ~ node26(s97) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_19355,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node10(s98) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_19357,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s34,X0)
      | ~ node17(s34,s35)
      | ~ m_main_v_turn(s35,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_19368,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node3(s4) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_19370,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node2(s5) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_19385,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_19386,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s12,X0)
      | ~ node6(s12,s13)
      | ~ m_main_v_state1(s13,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_19395,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_19396,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s16,X0)
      | ~ node6(s16,s17)
      | ~ m_main_v_state1(s17,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_19437,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_19438,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s32,X0)
      | ~ node6(s32,s33)
      | ~ m_main_v_state1(s33,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_19452,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s38,X0)
      | ~ node17(s38,s39)
      | ~ m_main_v_turn(s39,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_19468,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s42,X0)
      | ~ node17(s42,s43)
      | ~ m_main_v_turn(s43,X0) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_19492,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_19494,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s48,X0)
      | ~ node6(s48,s49)
      | ~ m_main_v_state1(s49,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_19513,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_19521,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_19531,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_19596,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node12(s52) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_19601,plain,
    ( m_main_v_state2(s92,c_t2)
    | ~ node12(s92) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_19643,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_19713,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_19831,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node5(s54) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_19835,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s54,c_t1)
      | ~ node7(X0,s54)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_19836,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node7(s99,s54)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_19835]) ).

tcf(c_19876,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node10(s86) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_19892,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node9(s40) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_19941,plain,
    ( m_main_v_state1(s64,c_c1)
    | ~ node10(s64) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19966,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node16(s66) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_19989,plain,
    ( m_main_v_state1(s71,c_c1)
    | ~ node10(s71) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_19991,plain,
    ( m_main_v_state1(s72,c_c1)
    | ~ node10(s72) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_20015,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node16(s70) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_20025,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node9(s90) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_20365,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node4(s56) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_20366,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_20405,plain,
    ( m_main_v_turn(s72,c_1)
    | ~ node5(s72) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20415,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_20416,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s76,X0)
      | ~ node6(s76,s77)
      | ~ m_main_v_state1(s77,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_20427,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_20438,plain,
    ( m_main_v_turn(s84,c_1)
    | ~ node5(s84) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20461,plain,
    ( m_main_v_turn(s92,c_1)
    | ~ node5(s92) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_20469,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_20480,plain,
    ( m_main_v_state2(s96,c_n2)
    | ~ node4(s96) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_20486,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node16(s98) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_20613,plain,
    ( m_main_v_state1(s6,c_t1)
    | ~ node5(s6) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_20617,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_20618,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_20617]) ).

tcf(c_21011,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node9(s58) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21037,plain,
    ( m_main_v_state2(s18,c_c2)
    | ~ node3(s18) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_21078,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node3(s20) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_21085,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node1(s45) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_21135,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node10(s46) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_21146,plain,
    ( m_main_v_state1(s56,c_c1)
    | ~ node10(s56) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_21203,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_21205,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_21268,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_21280,plain,
    ( ~ m_main_v_state2(s5,c_t2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_21308,plain,
    ( m_main_v_state2(s11,c_t2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_18290]) ).

tcf(c_21425,plain,
    ( m_main_v_state1(s42,c_t1)
    | ~ node5(s42) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_21429,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_21430,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_21429]) ).

tcf(c_21489,plain,
    ( m_main_v_state2(s59,c_t2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_18875]) ).

tcf(c_21502,plain,
    ( m_main_v_state2(s63,c_t2)
    | ~ node13(s62,s63)
    | ~ m_main_v_state2(s62,c_t2) ),
    inference(instantiation,[status(thm)],[c_18936]) ).

tcf(c_21507,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node10(s62) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_21515,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node13(s62,s63)
    | ~ m_main_v_state2(s63,c_n2) ),
    inference(instantiation,[status(thm)],[c_18938]) ).

tcf(c_21599,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node9(s94) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21721,plain,
    ( ~ m_main_v_state1(s15,c_t1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_21779,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_21784,plain,
    ( ~ m_main_v_state1(s20,c_t1)
    | ~ m_main_v_state1(s20,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_21819,plain,
    ( ~ m_main_v_state2(s45,c_t2)
    | ~ m_main_v_state2(s45,c_n2) ),
    inference(instantiation,[status(thm)],[c_336]) ).

tcf(c_21867,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node11(s42) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_21869,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node10(s54) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_21909,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node9(s66) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21973,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node9(s62) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22109,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s31,c_t2)
      | ~ m_main_v_state1(s31,c_n1)
      | ~ node7(s31,X0) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_22420,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_18741]) ).

tcf(c_22637,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_19643]) ).

tcf(c_22638,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_19713]) ).

tcf(c_22715,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node2(s98) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_22760,plain,
    ( m_main_v_state1(s27,c_c1)
    | ~ node10(s27) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_22789,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node10(s58) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_22803,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node2(s20) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_22827,plain,
    ( m_main_v_state1(s52,c_c1)
    | ~ node10(s52) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_22860,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_22873,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node9(s6) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22928,plain,
    ( m_main_v_state1(s79,c_c1)
    | ~ node10(s79) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_22937,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node11(s94) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_22977,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node11(s22) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_22980,plain,
    ( m_main_v_state1(s32,c_c1)
    | ~ node10(s32) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_23033,plain,
    ( ~ m_main_v_turn(s26,c_2)
    | ~ m_main_v_turn(s26,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23034,plain,
    ( ~ m_main_v_turn(s28,c_2)
    | ~ m_main_v_turn(s28,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23037,plain,
    ( ~ m_main_v_turn(s34,c_2)
    | ~ m_main_v_turn(s34,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23040,plain,
    ( ~ m_main_v_turn(s38,c_2)
    | ~ m_main_v_turn(s38,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23042,plain,
    ( ~ m_main_v_turn(s42,c_2)
    | ~ m_main_v_turn(s42,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23043,plain,
    ( ~ m_main_v_turn(s44,c_2)
    | ~ m_main_v_turn(s44,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23044,plain,
    ( ~ m_main_v_turn(s48,c_2)
    | ~ m_main_v_turn(s48,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23046,plain,
    ( ~ m_main_v_turn(s50,c_2)
    | ~ m_main_v_turn(s50,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23049,plain,
    ( ~ m_main_v_turn(s54,c_2)
    | ~ m_main_v_turn(s54,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23051,plain,
    ( ~ m_main_v_turn(s58,c_2)
    | ~ m_main_v_turn(s58,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23053,plain,
    ( ~ m_main_v_turn(s60,c_2)
    | ~ m_main_v_turn(s60,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23056,plain,
    ( ~ m_main_v_turn(s66,c_2)
    | ~ m_main_v_turn(s66,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23058,plain,
    ( ~ m_main_v_turn(s70,c_2)
    | ~ m_main_v_turn(s70,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23060,plain,
    ( ~ m_main_v_turn(s78,c_2)
    | ~ m_main_v_turn(s78,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23061,plain,
    ( ~ m_main_v_turn(s82,c_2)
    | ~ m_main_v_turn(s82,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23062,plain,
    ( ~ m_main_v_turn(s90,c_2)
    | ~ m_main_v_turn(s90,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23066,plain,
    ( ~ m_main_v_turn(s94,c_2)
    | ~ m_main_v_turn(s94,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23068,plain,
    ( ~ m_main_v_turn(s96,c_2)
    | ~ m_main_v_turn(s96,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23133,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node2(s45) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_23142,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node3(s29) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_23146,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node10(s82) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_23275,plain,
    ( m_main_v_state1(s60,c_c1)
    | ~ node10(s60) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_23514,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node11(s30) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_23519,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_23521,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s66,X0)
      | ~ node13(s66,s67)
      | ~ m_main_v_state2(s67,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_23582,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node4(s18) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_23583,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_23585,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s28,X0)
      | ~ node6(s28,s29)
      | ~ m_main_v_state1(s29,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_23639,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node13(s86,s87)
    | ~ m_main_v_state2(s87,c_n2) ),
    inference(instantiation,[status(thm)],[c_21205]) ).

tcf(c_23758,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_23760,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s40,X0)
      | ~ node6(s40,s41)
      | ~ m_main_v_state1(s41,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_23763,plain,
    ( ~ m_main_v_state1(s40,c_t1)
    | ~ m_main_v_state1(s40,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23764,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_23766,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_23788,plain,
    ( ~ m_main_v_state1(s69,c_t1)
    | ~ m_main_v_state1(s69,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23811,plain,
    ( m_main_v_state1(s84,c_c1)
    | ~ node10(s84) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_23815,plain,
    ( ~ m_main_v_state1(s87,c_t1)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23824,plain,
    ( ~ m_main_v_state1(s93,c_t1)
    | ~ m_main_v_state1(s93,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23831,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_23833,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_23880,plain,
    ( ~ m_main_v_state1(s71,c_t1)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23883,plain,
    ( ~ m_main_v_state1(s81,c_t1)
    | ~ m_main_v_state1(s81,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23896,plain,
    ( m_main_v_turn(s64,c_1)
    | ~ node5(s64) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_23922,plain,
    ( ~ m_main_v_state1(s25,c_t1)
    | ~ m_main_v_state1(s25,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23926,plain,
    ( ~ m_main_v_turn(s84,c_2)
    | ~ m_main_v_turn(s84,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_23929,plain,
    ( ~ m_main_v_state1(s63,c_t1)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_23939,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node4(s66) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_24057,plain,
    ( ~ m_main_v_turn(s10,c_2)
    | ~ m_main_v_turn(s10,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24060,plain,
    ( ~ m_main_v_turn(s24,c_2)
    | ~ m_main_v_turn(s24,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24066,plain,
    ( ~ m_main_v_turn(s68,c_2)
    | ~ m_main_v_turn(s68,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24067,plain,
    ( ~ m_main_v_turn(s72,c_2)
    | ~ m_main_v_turn(s72,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24183,plain,
    ( m_main_v_turn(s30,c_2)
    | ~ node17(s30,s31)
    | ~ m_main_v_turn(s31,c_2) ),
    inference(instantiation,[status(thm)],[c_19272]) ).

tcf(c_24226,plain,
    ( m_main_v_state1(s13,c_t1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_19385]) ).

tcf(c_24229,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s13,c_n1) ),
    inference(instantiation,[status(thm)],[c_19386]) ).

tcf(c_24244,plain,
    ( m_main_v_state1(s17,c_t1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_19395]) ).

tcf(c_24282,plain,
    ( ~ m_main_v_state1(s31,c_t1)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_24302,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_22109]) ).

tcf(c_24314,plain,
    ( m_main_v_state1(s33,c_t1)
    | ~ node6(s32,s33)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_19437]) ).

tcf(c_24343,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node2(s40) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24360,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node17(s42,s43)
    | ~ m_main_v_turn(s43,c_2) ),
    inference(instantiation,[status(thm)],[c_19468]) ).

tcf(c_24388,plain,
    ( m_main_v_state1(s49,c_t1)
    | ~ node6(s48,s49)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_19492]) ).

tcf(c_24453,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node17(s54,s55)
    | ~ m_main_v_turn(s55,c_2) ),
    inference(instantiation,[status(thm)],[c_19521]) ).

tcf(c_24526,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node15(s69) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_24588,plain,
    ( m_main_v_state1(s61,c_t1)
    | ~ node6(s60,s61)
    | ~ m_main_v_state1(s60,c_t1) ),
    inference(instantiation,[status(thm)],[c_20366]) ).

tcf(c_24623,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node1(s69) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_24654,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node6(s76,s77)
    | ~ m_main_v_state1(s77,c_n1) ),
    inference(instantiation,[status(thm)],[c_20416]) ).

tcf(c_24678,plain,
    ( m_main_v_state1(s81,c_t1)
    | ~ node6(s80,s81)
    | ~ m_main_v_state1(s80,c_t1) ),
    inference(instantiation,[status(thm)],[c_20427]) ).

tcf(c_24679,plain,
    ( m_main_v_state1(s80,c_c1)
    | ~ node10(s80) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_24740,plain,
    ( m_main_v_turn(s94,c_2)
    | ~ node17(s94,s95)
    | ~ m_main_v_turn(s95,c_2) ),
    inference(instantiation,[status(thm)],[c_20469]) ).

tcf(c_24799,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node10(s70) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_24802,plain,
    ( m_main_v_turn(s70,c_2)
    | ~ node17(s70,s71)
    | ~ m_main_v_turn(s71,c_2) ),
    inference(instantiation,[status(thm)],[c_21268]) ).

tcf(c_24849,plain,
    ( m_main_v_state1(s97,c_t1)
    | ~ node6(s96,s97)
    | ~ m_main_v_state1(s96,c_t1) ),
    inference(instantiation,[status(thm)],[c_21779]) ).

tcf(c_24899,plain,
    ( m_main_v_state1(s68,c_c1)
    | ~ node10(s68) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_24911,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node10(s94) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_24915,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node11(s26) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_24951,plain,
    ( ~ m_main_v_turn(s30,c_2)
    | ~ m_main_v_turn(s30,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24955,plain,
    ( ~ m_main_v_turn(s46,c_2)
    | ~ m_main_v_turn(s46,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24957,plain,
    ( ~ m_main_v_turn(s56,c_2)
    | ~ m_main_v_turn(s56,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_24973,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node9(s96) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_24984,plain,
    ( m_main_v_state1(s92,c_c1)
    | ~ node10(s92) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_25019,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node10(s4) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_25058,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_25060,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_25078,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node12(s84) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_25085,plain,
    ( m_main_v_state1(s48,c_c1)
    | ~ node10(s48) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_25096,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_25098,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_25100,plain,
    ( m_main_v_state1(s66,c_t1)
    | ~ node5(s66) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_25156,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node15(s61) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_25168,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_25177,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node16(s58) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_25199,plain,
    ( m_main_v_state2(s67,c_t2)
    | ~ node13(s66,s67)
    | ~ m_main_v_state2(s66,c_t2) ),
    inference(instantiation,[status(thm)],[c_23519]) ).

tcf(c_25202,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node13(s66,s67)
    | ~ m_main_v_state2(s67,c_n2) ),
    inference(instantiation,[status(thm)],[c_23521]) ).

tcf(c_25219,plain,
    ( m_main_v_state1(s19,c_t1)
    | ~ node8(s19) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_25224,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node11(s20) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_25243,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_25248,plain,
    ( m_main_v_state2(s21,c_c2)
    | ~ node3(s21) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_25252,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s34,X0)
      | ~ node13(s34,s35)
      | ~ m_main_v_state2(s35,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_25254,plain,
    ( m_main_v_state1(s34,c_t1)
    | ~ node5(s34) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_25327,plain,
    ( m_main_v_state1(s53,c_t1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_19513]) ).

tcf(c_25329,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_25331,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s50,X0)
      | ~ node13(s50,s51)
      | ~ m_main_v_state2(s51,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_25372,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node4(s94) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_25389,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_25400,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node11(s38) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_25459,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_25461,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_25480,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_25482,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_25503,plain,
    ( m_main_v_state1(s77,c_t1)
    | ~ node6(s76,s77)
    | ~ m_main_v_state1(s76,c_t1) ),
    inference(instantiation,[status(thm)],[c_20415]) ).

tcf(c_25573,plain,
    ( m_main_v_state1(s8,c_c1)
    | ~ node10(s8) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_25592,plain,
    ( m_main_v_state2(s17,c_c2)
    | ~ node3(s17) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_25602,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_25617,plain,
    ( ~ m_main_v_state1(s28,c_t1)
    | ~ m_main_v_state1(s28,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_25631,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node2(s37) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_25665,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_25667,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_25764,plain,
    ( m_main_v_state2(s7,c_t2)
    | ~ node13(s6,s7)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_18230]) ).

tcf(c_25813,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node3(s40) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_25837,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node5(s14) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_25878,plain,
    ( m_main_v_state2(s38,c_c2)
    | ~ node3(s38) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_25884,plain,
    ( m_main_v_state2(s25,c_c2)
    | ~ node3(s25) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_25950,plain,
    ( m_main_v_state2(s50,c_c2)
    | ~ node3(s50) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_25979,plain,
    ( m_main_v_state2(s58,c_c2)
    | ~ node3(s58) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_26038,plain,
    ( ~ m_main_v_turn(s74,c_2)
    | ~ m_main_v_turn(s74,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_26056,plain,
    ( ~ m_main_v_turn(s80,c_2)
    | ~ m_main_v_turn(s80,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_26087,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node5(s46) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_26095,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node1(s61) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_26097,plain,
    ( m_main_v_state1(s62,c_t1)
    | ~ node5(s62) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_26127,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node5(s78) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_26132,plain,
    ( m_main_v_turn(s80,c_1)
    | ~ node5(s80) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_26181,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node16(s94) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_26187,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node1(s94) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_26285,plain,
    ( m_main_v_state1(s82,c_t1)
    | ~ node5(s82) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_26307,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node1(s96) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_26388,plain,
    ( m_main_v_state1(s41,c_t1)
    | ~ node6(s40,s41)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_23758]) ).

tcf(c_26394,plain,
    ( m_main_v_state1(s45,c_t1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_23764]) ).

tcf(c_26407,plain,
    ( m_main_v_state1(s5,c_t1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_23831]) ).

tcf(c_26410,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s5,c_n1) ),
    inference(instantiation,[status(thm)],[c_23833]) ).

tcf(c_26451,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node10(s50) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_26490,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_26492,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s94,X0)
      | ~ node13(s94,s95)
      | ~ m_main_v_state2(s95,X0) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_26500,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node11(s96) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_26538,plain,
    ( m_main_v_state2(s87,c_t2)
    | ~ node13(s86,s87)
    | ~ m_main_v_state2(s86,c_t2) ),
    inference(instantiation,[status(thm)],[c_21203]) ).

tcf(c_26558,plain,
    ( ~ m_main_v_turn(s62,c_2)
    | ~ m_main_v_turn(s62,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_26568,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_26603,plain,
    ( m_main_v_state1(s19,c_c1)
    | ~ node10(s19) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_26766,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node9(s46) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_26775,plain,
    ( m_main_v_state2(s71,c_t2)
    | ~ node13(s70,s71)
    | ~ m_main_v_state2(s70,c_t2) ),
    inference(instantiation,[status(thm)],[c_25168]) ).

tcf(c_26799,plain,
    ( m_main_v_state2(s72,c_t2)
    | ~ node12(s72) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_26810,plain,
    ( m_main_v_state2(s51,c_t2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_25329]) ).

tcf(c_26816,plain,
    ( m_main_v_state2(s19,c_t2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_25389]) ).

tcf(c_26828,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node9(s19) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_26846,plain,
    ( m_main_v_state2(s55,c_t2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_25459]) ).

tcf(c_26849,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s55,c_n2) ),
    inference(instantiation,[status(thm)],[c_25461]) ).

tcf(c_26891,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s11,c_n2) ),
    inference(instantiation,[status(thm)],[c_18292]) ).

tcf(c_26914,plain,
    ( m_main_v_state2(s15,c_t2)
    | ~ node13(s14,s15)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_25665]) ).

tcf(c_26917,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node13(s14,s15)
    | ~ m_main_v_state2(s15,c_n2) ),
    inference(instantiation,[status(thm)],[c_25667]) ).

tcf(c_26949,plain,
    ( m_main_v_state2(s46,c_c2)
    | ~ node3(s46) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_26953,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node2(s58) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_27002,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node11(s40) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_27123,plain,
    ( m_main_v_state2(s93,c_t2)
    | ~ node15(s93) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_27197,plain,
    ( ~ m_main_v_state1(s89,c_t1)
    | ~ m_main_v_state1(s89,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_27212,plain,
    ( m_main_v_state2(s88,c_t2)
    | ~ node12(s88) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_27226,plain,
    ( m_main_v_state2(s89,c_t2)
    | ~ node15(s89) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_27260,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node5(s18) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_27309,plain,
    ( m_main_v_state2(s34,c_c2)
    | ~ node3(s34) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_27360,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s51,c_n2) ),
    inference(instantiation,[status(thm)],[c_25331]) ).

tcf(c_27384,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node6(s48,s49)
    | ~ m_main_v_state1(s49,c_n1) ),
    inference(instantiation,[status(thm)],[c_19494]) ).

tcf(c_27402,plain,
    ( m_main_v_state2(s53,c_t2)
    | ~ node15(s53) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_27423,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node2(s54) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_27439,plain,
    ( m_main_v_turn(s66,c_2)
    | ~ node17(s66,s67)
    | ~ m_main_v_turn(s67,c_2) ),
    inference(instantiation,[status(thm)],[c_22860]) ).

tcf(c_27487,plain,
    ( ~ m_main_v_state1(s57,c_t1)
    | ~ m_main_v_state1(s57,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_27531,plain,
    ( m_main_v_state2(s9,c_c2)
    | ~ node3(s9) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_27549,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node3(s32) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_27554,plain,
    ( m_main_v_state2(s33,c_c2)
    | ~ node3(s33) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_27564,plain,
    ( ~ m_main_v_turn(s32,c_2)
    | ~ m_main_v_turn(s32,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_27575,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s31,c_n2) ),
    inference(instantiation,[status(thm)],[c_25482]) ).

tcf(c_27577,plain,
    ( m_main_v_state1(s31,c_c1)
    | ~ node10(s31) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_27595,plain,
    ( ~ m_main_v_state1(s37,c_t1)
    | ~ m_main_v_state1(s37,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_27599,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node16(s10) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_27632,plain,
    ( ~ m_main_v_turn(s36,c_2)
    | ~ m_main_v_turn(s36,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_27689,plain,
    ( ~ m_main_v_turn(s40,c_2)
    | ~ m_main_v_turn(s40,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_27733,plain,
    ( m_main_v_state2(s57,c_t2)
    | ~ node15(s57) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_27776,plain,
    ( ~ m_main_v_state1(s75,c_t1)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_27800,plain,
    ( ~ m_main_v_state1(s9,c_t1)
    | ~ m_main_v_state1(s9,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_27810,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node5(s26) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_27816,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node9(s28) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_27827,plain,
    ( m_main_v_state2(s82,c_c2)
    | ~ node3(s82) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_27863,plain,
    ( m_main_v_state2(s53,c_t2)
    | ~ node1(s53) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_27868,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node3(s41) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_27893,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node6(s40,s41)
    | ~ m_main_v_state1(s41,c_n1) ),
    inference(instantiation,[status(thm)],[c_23760]) ).

tcf(c_27943,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node2(s4) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_28036,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node17(s58,s59)
    | ~ m_main_v_turn(s59,c_2) ),
    inference(instantiation,[status(thm)],[c_19531]) ).

tcf(c_28048,plain,
    ( m_main_v_state1(s65,c_t1)
    | ~ node6(s64,s65)
    | ~ m_main_v_state1(s64,c_t1) ),
    inference(instantiation,[status(thm)],[c_25096]) ).

tcf(c_28051,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node6(s64,s65)
    | ~ m_main_v_state1(s65,c_n1) ),
    inference(instantiation,[status(thm)],[c_25098]) ).

tcf(c_28059,plain,
    ( m_main_v_state1(s21,c_t1)
    | ~ node6(s20,s21)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_25243]) ).

tcf(c_28087,plain,
    ( m_main_v_turn(s98,c_2)
    | ~ node17(s98,s99)
    | ~ m_main_v_turn(s99,c_2) ),
    inference(instantiation,[status(thm)],[c_25480]) ).

tcf(c_28108,plain,
    ( m_main_v_state1(s25,c_t1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_25602]) ).

tcf(c_28166,plain,
    ( xuntil28(s3)
    | node26(s3)
    | ~ until27(s3) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_28179,plain,
    ( m_main_v_state2(s68,c_t2)
    | ~ node12(s68) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_28207,plain,
    ( m_main_v_state2(s47,c_t2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_25058]) ).

tcf(c_28258,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node10(s14) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_28359,plain,
    ( m_main_v_state1(s24,c_c1)
    | ~ node10(s24) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_28385,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node2(s50) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_28467,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node9(s44) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_28485,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s59,c_n2) ),
    inference(instantiation,[status(thm)],[c_18877]) ).

tcf(c_28543,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s47,c_n2) ),
    inference(instantiation,[status(thm)],[c_25060]) ).

tcf(c_28606,plain,
    ( m_main_v_state2(s95,c_t2)
    | ~ node13(s94,s95)
    | ~ m_main_v_state2(s94,c_t2) ),
    inference(instantiation,[status(thm)],[c_26490]) ).

tcf(c_28609,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node13(s94,s95)
    | ~ m_main_v_state2(s95,c_n2) ),
    inference(instantiation,[status(thm)],[c_26492]) ).

tcf(c_28637,plain,
    ( m_main_v_state2(s79,c_t2)
    | ~ node13(s78,s79)
    | ~ m_main_v_state2(s78,c_t2) ),
    inference(instantiation,[status(thm)],[c_26568]) ).

tcf(c_28692,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node2(s16) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_28695,plain,
    ( m_main_v_turn(s32,c_1)
    | ~ node5(s32) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_28918,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node6(s32,s33)
    | ~ m_main_v_state1(s33,c_n1) ),
    inference(instantiation,[status(thm)],[c_19438]) ).

tcf(c_28927,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s35,c_n2) ),
    inference(instantiation,[status(thm)],[c_25252]) ).

tcf(c_28941,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s35,c_t2)
      | ~ m_main_v_state1(s35,c_n1)
      | ~ node7(s35,X0) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_28954,plain,
    ( m_main_v_turn(s36,c_1)
    | ~ node5(s36) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_28998,plain,
    ( ~ m_main_v_state1(s47,c_t1)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_29033,plain,
    ( m_main_v_state2(s53,c_c2)
    | ~ node3(s53) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_29167,plain,
    ( m_main_v_turn(s48,c_1)
    | ~ node5(s48) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_29195,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node2(s41) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_29282,plain,
    ( m_main_v_turn(s34,c_2)
    | ~ node17(s34,s35)
    | ~ m_main_v_turn(s35,c_2) ),
    inference(instantiation,[status(thm)],[c_19357]) ).

tcf(c_29290,plain,
    ( ~ m_main_v_state1(s19,c_t1)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_29315,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node6(s28,s29)
    | ~ m_main_v_state1(s29,c_n1) ),
    inference(instantiation,[status(thm)],[c_23585]) ).

tcf(c_29341,plain,
    ( m_main_v_state1(s29,c_t1)
    | ~ node6(s28,s29)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_23583]) ).

tcf(c_29342,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node2(s28) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_29348,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node2(s62) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_29350,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node12(s96) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_29390,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s45,c_n1) ),
    inference(instantiation,[status(thm)],[c_23766]) ).

tcf(c_29489,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node9(s16) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_29512,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node9(s86) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_29689,plain,
    ( m_main_v_turn(s38,c_2)
    | ~ node17(s38,s39)
    | ~ m_main_v_turn(s39,c_2) ),
    inference(instantiation,[status(thm)],[c_19452]) ).

tcf(c_29795,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node2(s70) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_29815,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node2(s21) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_29947,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node2(s17) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_30003,plain,
    ( always25(s3)
    | ~ node26(s3) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_30319,plain,
    ( m_main_v_state1(s83,c_c1)
    | ~ node10(s83) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_30354,plain,
    ( m_main_v_state1(s96,c_c1)
    | ~ node10(s96) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_30524,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node9(s20) ),
    inference(instantiation,[status(thm)],[c_368]) ).

tcf(c_30623,plain,
    ( m_main_v_state1(s63,c_c1)
    | ~ node10(s63) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_30627,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_28941]) ).

tcf(c_30863,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node16(s54) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_31107,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node10(s18) ),
    inference(instantiation,[status(thm)],[c_369]) ).

tcf(c_31235,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node5(s22) ),
    inference(instantiation,[status(thm)],[c_352]) ).

tcf(c_31384,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node3(s28) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_31511,plain,
    ( m_main_v_state1(s31,c_t1)
    | ~ node8(s31) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_31581,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s17,c_n1) ),
    inference(instantiation,[status(thm)],[c_19396]) ).

tcf(c_31615,plain,
    ( ~ m_main_v_state1(s44,c_t1)
    | ~ m_main_v_state1(s44,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_31893,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node4(s98) ),
    inference(instantiation,[status(thm)],[c_351]) ).

tcf(c_32246,plain,
    ( m_main_v_state2(s64,c_t2)
    | ~ node12(s64) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_34542,plain,
    ( m_main_v_state1(s44,c_c1)
    | ~ node10(s44) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_34769,plain,
    ( m_main_v_state2(s54,c_c2)
    | ~ node3(s54) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_34969,plain,
    ( ~ m_main_v_turn(s64,c_2)
    | ~ m_main_v_turn(s64,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_35037,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node2(s66) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_35059,plain,
    ( m_main_v_state1(s67,c_c1)
    | ~ node10(s67) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_35116,plain,
    ( m_main_v_state2(s69,c_c2)
    | ~ node3(s69) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_35208,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_35213,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node9(s74) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_35216,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node2(s74) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_35237,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s75,c_t1)
      | ~ node7(X0,s75)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_35238,plain,
    ( m_main_v_state1(s75,c_t1)
    | ~ node7(s99,s75)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_35237]) ).

tcf(c_35262,plain,
    ( m_main_v_state2(s76,c_t2)
    | ~ node12(s76) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_35310,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s78,c_t1)
      | ~ node7(X0,s78)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_35311,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node7(s99,s78)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_35310]) ).

tcf(c_35377,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node12(s80) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_35422,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node9(s82) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_35425,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node2(s82) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_35516,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_35575,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node2(s97) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_36106,plain,
    ( m_main_v_state2(s73,c_t2)
    | ~ node15(s73) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_36259,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_36266,plain,
    ( m_main_v_turn(s40,c_1)
    | ~ node5(s40) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_36273,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node2(s44) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_36337,plain,
    ( m_main_v_state2(s73,c_t2)
    | ~ node1(s73) ),
    inference(instantiation,[status(thm)],[c_345]) ).

tcf(c_36386,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node2(s93) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_36396,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s96,X0)
      | ~ node6(s96,s97)
      | ~ m_main_v_state1(s97,X0) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_36928,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s27,c_t2)
      | ~ m_main_v_state1(s27,c_n1)
      | ~ node7(s27,X0) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_36930,plain,
    ( ~ m_main_v_state1(s27,c_t1)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_37068,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node2(s33) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_37807,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node3(s36) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_38238,plain,
    ( ~ m_main_v_turn(s98,c_2)
    | ~ m_main_v_turn(s98,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_38413,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_38508,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_36928]) ).

tcf(c_38805,plain,
    ( ~ m_main_v_state1(s53,c_t1)
    | ~ m_main_v_state1(s53,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_38905,plain,
    ( ~ m_main_v_state1(s61,c_t1)
    | ~ m_main_v_state1(s61,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_39328,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_39624,plain,
    ( m_main_v_state2(s91,c_t2)
    | ~ node13(s90,s91)
    | ~ m_main_v_state2(s90,c_t2) ),
    inference(instantiation,[status(thm)],[c_35516]) ).

tcf(c_39723,plain,
    ( ~ m_main_v_state1(s67,c_t1)
    | ~ m_main_v_state1(s67,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_40558,plain,
    ( m_main_v_state1(s37,c_t1)
    | ~ node6(s36,s37)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_36259]) ).

tcf(c_40600,plain,
    ( m_main_v_state2(s70,c_c2)
    | ~ node3(s70) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_40602,plain,
    ( m_main_v_state2(s74,c_c2)
    | ~ node3(s74) ),
    inference(instantiation,[status(thm)],[c_349]) ).

tcf(c_40780,plain,
    ( m_main_v_state1(s69,c_t1)
    | ~ node6(s68,s69)
    | ~ m_main_v_state1(s68,c_t1) ),
    inference(instantiation,[status(thm)],[c_38413]) ).

tcf(c_41823,plain,
    ( m_main_v_state2(s75,c_t2)
    | ~ node13(s74,s75)
    | ~ m_main_v_state2(s74,c_t2) ),
    inference(instantiation,[status(thm)],[c_35208]) ).

tcf(c_42889,plain,
    ( ~ m_main_v_state1(s73,c_t1)
    | ~ m_main_v_state1(s73,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_43268,plain,
    ( ~ m_main_v_state1(s83,c_t1)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_43280,plain,
    ( m_main_v_state2(s83,c_t2)
    | ~ node13(s82,s83)
    | ~ m_main_v_state2(s82,c_t2) ),
    inference(instantiation,[status(thm)],[c_39328]) ).

tcf(c_43382,plain,
    ( ~ m_main_v_turn(s76,c_2)
    | ~ m_main_v_turn(s76,c_1) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_43498,plain,
    ( ~ m_main_v_state1(s79,c_t1)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_43603,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_43771,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s3)
      | ~ succ(s3,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_43910,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node6(s84,s85)
    | ~ m_main_v_state1(s85,c_n1) ),
    inference(instantiation,[status(thm)],[c_43603]) ).

tcf(c_43911,plain,
    ( until27(s4)
    | ~ xuntil28(s3)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_43771]) ).

tcf(c_44012,plain,
    ( xuntil28(s4)
    | node26(s4)
    | ~ until27(s4) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_44044,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_44109,plain,
    ( until27(s5)
    | ~ xuntil28(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_44044]) ).

tcf(c_44137,plain,
    ( ~ m_main_v_state1(s91,c_t1)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_44185,plain,
    ( xuntil28(s5)
    | node26(s5)
    | ~ until27(s5) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_44273,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s3)
      | ~ trans(s3,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_44349,plain,
    ( always25(s4)
    | ~ always25(s3)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_44273]) ).

tcf(c_44395,plain,
    ( ~ always25(s4)
    | ~ m_main_v_state2(s4,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_44497,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node6(s96,s97)
    | ~ m_main_v_state1(s97,c_n1) ),
    inference(instantiation,[status(thm)],[c_36396]) ).

tcf(c_44510,plain,
    ( always25(s2)
    | ~ node26(s2) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_44929,plain,
    ( ~ m_main_v_state1(s16,c_t1)
    | ~ m_main_v_state1(s16,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_44933,plain,
    ( ~ m_main_v_state1(s24,c_t1)
    | ~ m_main_v_state1(s24,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_44937,plain,
    ( ~ m_main_v_state1(s32,c_t1)
    | ~ m_main_v_state1(s32,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_44939,plain,
    ( ~ m_main_v_state1(s36,c_t1)
    | ~ m_main_v_state1(s36,c_n1) ),
    inference(instantiation,[status(thm)],[c_332]) ).

tcf(c_45256,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s2)
      | ~ trans(s2,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45466,plain,
    ( always25(s3)
    | ~ always25(s2)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_45256]) ).

tcf(c_45469,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s1)
      | ~ trans(s1,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45474,plain,
    ( always25(s2)
    | ~ always25(s1)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_45469]) ).

tcf(c_45492,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45496,plain,
    ( until27(s6)
    | ~ xuntil28(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_45492]) ).

tcf(c_45497,plain,
    ( xuntil28(s6)
    | node26(s6)
    | ~ until27(s6) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45499,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45503,plain,
    ( until27(s7)
    | ~ xuntil28(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_45499]) ).

tcf(c_45504,plain,
    ( xuntil28(s7)
    | node26(s7)
    | ~ until27(s7) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45506,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45510,plain,
    ( until27(s8)
    | ~ xuntil28(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_45506]) ).

tcf(c_45511,plain,
    ( xuntil28(s8)
    | node26(s8)
    | ~ until27(s8) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45513,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45517,plain,
    ( until27(s9)
    | ~ xuntil28(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_45513]) ).

tcf(c_45518,plain,
    ( xuntil28(s9)
    | node26(s9)
    | ~ until27(s9) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45520,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45524,plain,
    ( until27(s10)
    | ~ xuntil28(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_45520]) ).

tcf(c_45525,plain,
    ( xuntil28(s10)
    | node26(s10)
    | ~ until27(s10) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45527,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45531,plain,
    ( until27(s11)
    | ~ xuntil28(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_45527]) ).

tcf(c_45532,plain,
    ( xuntil28(s11)
    | node26(s11)
    | ~ until27(s11) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45534,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45538,plain,
    ( until27(s12)
    | ~ xuntil28(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_45534]) ).

tcf(c_45539,plain,
    ( xuntil28(s12)
    | node26(s12)
    | ~ until27(s12) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45541,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45545,plain,
    ( until27(s13)
    | ~ xuntil28(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_45541]) ).

tcf(c_45546,plain,
    ( xuntil28(s13)
    | node26(s13)
    | ~ until27(s13) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45548,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45552,plain,
    ( until27(s14)
    | ~ xuntil28(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_45548]) ).

tcf(c_45553,plain,
    ( xuntil28(s14)
    | node26(s14)
    | ~ until27(s14) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45555,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45559,plain,
    ( until27(s15)
    | ~ xuntil28(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_45555]) ).

tcf(c_45560,plain,
    ( xuntil28(s15)
    | node26(s15)
    | ~ until27(s15) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45562,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45566,plain,
    ( until27(s16)
    | ~ xuntil28(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_45562]) ).

tcf(c_45567,plain,
    ( xuntil28(s16)
    | node26(s16)
    | ~ until27(s16) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45569,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45573,plain,
    ( until27(s17)
    | ~ xuntil28(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_45569]) ).

tcf(c_45574,plain,
    ( xuntil28(s17)
    | node26(s17)
    | ~ until27(s17) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45576,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45580,plain,
    ( until27(s18)
    | ~ xuntil28(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_45576]) ).

tcf(c_45581,plain,
    ( xuntil28(s18)
    | node26(s18)
    | ~ until27(s18) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45583,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45587,plain,
    ( until27(s19)
    | ~ xuntil28(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_45583]) ).

tcf(c_45588,plain,
    ( xuntil28(s19)
    | node26(s19)
    | ~ until27(s19) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45590,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45594,plain,
    ( until27(s20)
    | ~ xuntil28(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_45590]) ).

tcf(c_45595,plain,
    ( xuntil28(s20)
    | node26(s20)
    | ~ until27(s20) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45597,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45601,plain,
    ( until27(s21)
    | ~ xuntil28(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_45597]) ).

tcf(c_45602,plain,
    ( xuntil28(s21)
    | node26(s21)
    | ~ until27(s21) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45604,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45608,plain,
    ( until27(s22)
    | ~ xuntil28(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_45604]) ).

tcf(c_45609,plain,
    ( xuntil28(s22)
    | node26(s22)
    | ~ until27(s22) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45611,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45615,plain,
    ( until27(s23)
    | ~ xuntil28(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_45611]) ).

tcf(c_45616,plain,
    ( xuntil28(s23)
    | node26(s23)
    | ~ until27(s23) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45618,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45622,plain,
    ( until27(s24)
    | ~ xuntil28(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_45618]) ).

tcf(c_45623,plain,
    ( xuntil28(s24)
    | node26(s24)
    | ~ until27(s24) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45625,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45629,plain,
    ( until27(s25)
    | ~ xuntil28(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_45625]) ).

tcf(c_45630,plain,
    ( xuntil28(s25)
    | node26(s25)
    | ~ until27(s25) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45632,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45636,plain,
    ( until27(s26)
    | ~ xuntil28(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_45632]) ).

tcf(c_45637,plain,
    ( xuntil28(s26)
    | node26(s26)
    | ~ until27(s26) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45639,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45643,plain,
    ( until27(s27)
    | ~ xuntil28(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_45639]) ).

tcf(c_45644,plain,
    ( xuntil28(s27)
    | node26(s27)
    | ~ until27(s27) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45646,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45650,plain,
    ( until27(s28)
    | ~ xuntil28(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_45646]) ).

tcf(c_45651,plain,
    ( xuntil28(s28)
    | node26(s28)
    | ~ until27(s28) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45653,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45657,plain,
    ( until27(s29)
    | ~ xuntil28(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_45653]) ).

tcf(c_45658,plain,
    ( xuntil28(s29)
    | node26(s29)
    | ~ until27(s29) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45660,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45664,plain,
    ( until27(s30)
    | ~ xuntil28(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_45660]) ).

tcf(c_45665,plain,
    ( xuntil28(s30)
    | node26(s30)
    | ~ until27(s30) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45667,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45671,plain,
    ( until27(s31)
    | ~ xuntil28(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_45667]) ).

tcf(c_45672,plain,
    ( xuntil28(s31)
    | node26(s31)
    | ~ until27(s31) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45674,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45678,plain,
    ( until27(s32)
    | ~ xuntil28(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_45674]) ).

tcf(c_45679,plain,
    ( xuntil28(s32)
    | node26(s32)
    | ~ until27(s32) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45681,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45685,plain,
    ( until27(s33)
    | ~ xuntil28(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_45681]) ).

tcf(c_45686,plain,
    ( xuntil28(s33)
    | node26(s33)
    | ~ until27(s33) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45688,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45692,plain,
    ( until27(s34)
    | ~ xuntil28(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_45688]) ).

tcf(c_45693,plain,
    ( xuntil28(s34)
    | node26(s34)
    | ~ until27(s34) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45695,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45699,plain,
    ( until27(s35)
    | ~ xuntil28(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_45695]) ).

tcf(c_45700,plain,
    ( xuntil28(s35)
    | node26(s35)
    | ~ until27(s35) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45702,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45706,plain,
    ( until27(s36)
    | ~ xuntil28(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_45702]) ).

tcf(c_45707,plain,
    ( xuntil28(s36)
    | node26(s36)
    | ~ until27(s36) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45709,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45713,plain,
    ( until27(s37)
    | ~ xuntil28(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_45709]) ).

tcf(c_45714,plain,
    ( xuntil28(s37)
    | node26(s37)
    | ~ until27(s37) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45716,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45720,plain,
    ( until27(s38)
    | ~ xuntil28(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_45716]) ).

tcf(c_45721,plain,
    ( xuntil28(s38)
    | node26(s38)
    | ~ until27(s38) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45723,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45727,plain,
    ( until27(s39)
    | ~ xuntil28(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_45723]) ).

tcf(c_45728,plain,
    ( xuntil28(s39)
    | node26(s39)
    | ~ until27(s39) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45730,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45734,plain,
    ( until27(s40)
    | ~ xuntil28(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_45730]) ).

tcf(c_45735,plain,
    ( xuntil28(s40)
    | node26(s40)
    | ~ until27(s40) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45737,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45741,plain,
    ( until27(s41)
    | ~ xuntil28(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_45737]) ).

tcf(c_45742,plain,
    ( xuntil28(s41)
    | node26(s41)
    | ~ until27(s41) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45744,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45748,plain,
    ( until27(s42)
    | ~ xuntil28(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_45744]) ).

tcf(c_45749,plain,
    ( xuntil28(s42)
    | node26(s42)
    | ~ until27(s42) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45751,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45755,plain,
    ( until27(s43)
    | ~ xuntil28(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_45751]) ).

tcf(c_45756,plain,
    ( xuntil28(s43)
    | node26(s43)
    | ~ until27(s43) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45758,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45762,plain,
    ( until27(s44)
    | ~ xuntil28(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_45758]) ).

tcf(c_45763,plain,
    ( xuntil28(s44)
    | node26(s44)
    | ~ until27(s44) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45765,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45769,plain,
    ( until27(s45)
    | ~ xuntil28(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_45765]) ).

tcf(c_45770,plain,
    ( xuntil28(s45)
    | node26(s45)
    | ~ until27(s45) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45772,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45776,plain,
    ( until27(s46)
    | ~ xuntil28(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_45772]) ).

tcf(c_45777,plain,
    ( xuntil28(s46)
    | node26(s46)
    | ~ until27(s46) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45779,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45783,plain,
    ( until27(s47)
    | ~ xuntil28(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_45779]) ).

tcf(c_45784,plain,
    ( xuntil28(s47)
    | node26(s47)
    | ~ until27(s47) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45786,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45790,plain,
    ( until27(s48)
    | ~ xuntil28(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_45786]) ).

tcf(c_45791,plain,
    ( xuntil28(s48)
    | node26(s48)
    | ~ until27(s48) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45793,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45797,plain,
    ( until27(s49)
    | ~ xuntil28(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_45793]) ).

tcf(c_45798,plain,
    ( xuntil28(s49)
    | node26(s49)
    | ~ until27(s49) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45800,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45804,plain,
    ( until27(s50)
    | ~ xuntil28(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_45800]) ).

tcf(c_45805,plain,
    ( xuntil28(s50)
    | node26(s50)
    | ~ until27(s50) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45807,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_45811,plain,
    ( until27(s51)
    | ~ xuntil28(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_45807]) ).

tcf(c_45812,plain,
    ( xuntil28(s51)
    | node26(s51)
    | ~ until27(s51) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_45813,plain,
    ( always25(s51)
    | ~ node26(s51) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45815,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s51)
      | ~ trans(s51,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45820,plain,
    ( always25(s6)
    | ~ node26(s6) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45822,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s6)
      | ~ trans(s6,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45827,plain,
    ( always25(s7)
    | ~ always25(s6)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_45822]) ).

tcf(c_45828,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s7)
      | ~ trans(s7,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45832,plain,
    ( always25(s8)
    | ~ always25(s7)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_45828]) ).

tcf(c_45835,plain,
    ( ~ always25(s8)
    | ~ m_main_v_state2(s8,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_45841,plain,
    ( always25(s7)
    | ~ node26(s7) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45855,plain,
    ( always25(s10)
    | ~ node26(s10) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45857,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s10)
      | ~ trans(s10,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45862,plain,
    ( always25(s11)
    | ~ always25(s10)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_45857]) ).

tcf(c_45863,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s11)
      | ~ trans(s11,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45867,plain,
    ( always25(s12)
    | ~ always25(s11)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_45863]) ).

tcf(c_45870,plain,
    ( ~ always25(s12)
    | ~ m_main_v_state2(s12,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_45876,plain,
    ( always25(s11)
    | ~ node26(s11) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45890,plain,
    ( always25(s14)
    | ~ node26(s14) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45892,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s14)
      | ~ trans(s14,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45897,plain,
    ( always25(s15)
    | ~ always25(s14)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_45892]) ).

tcf(c_45898,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s15)
      | ~ trans(s15,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45902,plain,
    ( always25(s16)
    | ~ always25(s15)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_45898]) ).

tcf(c_45905,plain,
    ( ~ always25(s16)
    | ~ m_main_v_state2(s16,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_45911,plain,
    ( always25(s15)
    | ~ node26(s15) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45925,plain,
    ( always25(s18)
    | ~ node26(s18) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45927,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s18)
      | ~ trans(s18,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45932,plain,
    ( always25(s19)
    | ~ always25(s18)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_45927]) ).

tcf(c_45933,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s19)
      | ~ trans(s19,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45937,plain,
    ( always25(s20)
    | ~ always25(s19)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_45933]) ).

tcf(c_45940,plain,
    ( ~ always25(s20)
    | ~ m_main_v_state2(s20,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_45946,plain,
    ( always25(s19)
    | ~ node26(s19) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45960,plain,
    ( always25(s22)
    | ~ node26(s22) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45962,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s22)
      | ~ trans(s22,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45967,plain,
    ( always25(s23)
    | ~ always25(s22)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_45962]) ).

tcf(c_45968,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s23)
      | ~ trans(s23,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_45972,plain,
    ( always25(s24)
    | ~ always25(s23)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_45968]) ).

tcf(c_45975,plain,
    ( ~ always25(s24)
    | ~ m_main_v_state2(s24,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_45981,plain,
    ( always25(s23)
    | ~ node26(s23) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45995,plain,
    ( always25(s26)
    | ~ node26(s26) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_45997,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s26)
      | ~ trans(s26,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46002,plain,
    ( always25(s27)
    | ~ always25(s26)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_45997]) ).

tcf(c_46003,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s27)
      | ~ trans(s27,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46007,plain,
    ( always25(s28)
    | ~ always25(s27)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_46003]) ).

tcf(c_46010,plain,
    ( ~ always25(s28)
    | ~ m_main_v_state2(s28,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46016,plain,
    ( always25(s27)
    | ~ node26(s27) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46030,plain,
    ( always25(s30)
    | ~ node26(s30) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46032,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s30)
      | ~ trans(s30,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46037,plain,
    ( always25(s31)
    | ~ always25(s30)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_46032]) ).

tcf(c_46038,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s31)
      | ~ trans(s31,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46042,plain,
    ( always25(s32)
    | ~ always25(s31)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_46038]) ).

tcf(c_46045,plain,
    ( ~ always25(s32)
    | ~ m_main_v_state2(s32,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46051,plain,
    ( always25(s31)
    | ~ node26(s31) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46065,plain,
    ( always25(s34)
    | ~ node26(s34) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46067,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s34)
      | ~ trans(s34,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46072,plain,
    ( always25(s35)
    | ~ always25(s34)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_46067]) ).

tcf(c_46073,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s35)
      | ~ trans(s35,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46077,plain,
    ( always25(s36)
    | ~ always25(s35)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_46073]) ).

tcf(c_46080,plain,
    ( ~ always25(s36)
    | ~ m_main_v_state2(s36,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46086,plain,
    ( always25(s35)
    | ~ node26(s35) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46100,plain,
    ( always25(s38)
    | ~ node26(s38) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46102,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s38)
      | ~ trans(s38,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46107,plain,
    ( always25(s39)
    | ~ always25(s38)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_46102]) ).

tcf(c_46108,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s39)
      | ~ trans(s39,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46112,plain,
    ( always25(s40)
    | ~ always25(s39)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_46108]) ).

tcf(c_46115,plain,
    ( ~ always25(s40)
    | ~ m_main_v_state2(s40,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46121,plain,
    ( always25(s39)
    | ~ node26(s39) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46135,plain,
    ( always25(s42)
    | ~ node26(s42) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46137,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s42)
      | ~ trans(s42,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46142,plain,
    ( always25(s43)
    | ~ always25(s42)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_46137]) ).

tcf(c_46143,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s43)
      | ~ trans(s43,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46147,plain,
    ( always25(s44)
    | ~ always25(s43)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_46143]) ).

tcf(c_46150,plain,
    ( ~ always25(s44)
    | ~ m_main_v_state2(s44,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46156,plain,
    ( always25(s43)
    | ~ node26(s43) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46170,plain,
    ( always25(s46)
    | ~ node26(s46) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46172,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s46)
      | ~ trans(s46,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46177,plain,
    ( always25(s47)
    | ~ always25(s46)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_46172]) ).

tcf(c_46178,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s47)
      | ~ trans(s47,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46182,plain,
    ( always25(s48)
    | ~ always25(s47)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_46178]) ).

tcf(c_46185,plain,
    ( ~ always25(s48)
    | ~ m_main_v_state2(s48,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46191,plain,
    ( always25(s47)
    | ~ node26(s47) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46210,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46214,plain,
    ( until27(s52)
    | ~ xuntil28(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_46210]) ).

tcf(c_46215,plain,
    ( xuntil28(s52)
    | node26(s52)
    | ~ until27(s52) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46217,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node26(s52) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46220,plain,
    ( ~ always25(s52)
    | ~ m_main_v_state2(s52,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46227,plain,
    ( always25(s52)
    | ~ always25(s51)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_45815]) ).

tcf(c_46228,plain,
    ( always25(s50)
    | ~ node26(s50) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46230,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s50)
      | ~ trans(s50,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46235,plain,
    ( always25(s51)
    | ~ always25(s50)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_46230]) ).

tcf(c_46245,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46249,plain,
    ( until27(s53)
    | ~ xuntil28(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_46245]) ).

tcf(c_46250,plain,
    ( xuntil28(s53)
    | node26(s53)
    | ~ until27(s53) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46252,plain,
    ( m_main_v_state2(s53,c_t2)
    | ~ node26(s53) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46258,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46262,plain,
    ( until27(s54)
    | ~ xuntil28(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_46258]) ).

tcf(c_46263,plain,
    ( xuntil28(s54)
    | node26(s54)
    | ~ until27(s54) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46264,plain,
    ( always25(s54)
    | ~ node26(s54) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46266,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s54)
      | ~ trans(s54,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46272,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46276,plain,
    ( until27(s55)
    | ~ xuntil28(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_46272]) ).

tcf(c_46277,plain,
    ( xuntil28(s55)
    | node26(s55)
    | ~ until27(s55) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46278,plain,
    ( always25(s55)
    | ~ node26(s55) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46280,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s55)
      | ~ trans(s55,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46287,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46291,plain,
    ( until27(s56)
    | ~ xuntil28(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_46287]) ).

tcf(c_46292,plain,
    ( xuntil28(s56)
    | node26(s56)
    | ~ until27(s56) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46294,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46298,plain,
    ( until27(s57)
    | ~ xuntil28(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_46294]) ).

tcf(c_46299,plain,
    ( xuntil28(s57)
    | node26(s57)
    | ~ until27(s57) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46301,plain,
    ( m_main_v_state2(s57,c_t2)
    | ~ node26(s57) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46311,plain,
    ( always25(s55)
    | ~ always25(s54)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_46266]) ).

tcf(c_46315,plain,
    ( always25(s56)
    | ~ always25(s55)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_46280]) ).

tcf(c_46318,plain,
    ( ~ always25(s56)
    | ~ m_main_v_state2(s56,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46333,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46337,plain,
    ( until27(s58)
    | ~ xuntil28(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_46333]) ).

tcf(c_46338,plain,
    ( xuntil28(s58)
    | node26(s58)
    | ~ until27(s58) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46339,plain,
    ( always25(s58)
    | ~ node26(s58) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46341,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s58)
      | ~ trans(s58,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46346,plain,
    ( always25(s59)
    | ~ always25(s58)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_46341]) ).

tcf(c_46347,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s59)
      | ~ trans(s59,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46351,plain,
    ( always25(s60)
    | ~ always25(s59)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_46347]) ).

tcf(c_46353,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46357,plain,
    ( until27(s59)
    | ~ xuntil28(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_46353]) ).

tcf(c_46358,plain,
    ( xuntil28(s59)
    | node26(s59)
    | ~ until27(s59) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46359,plain,
    ( always25(s59)
    | ~ node26(s59) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46371,plain,
    ( ~ always25(s60)
    | ~ m_main_v_state2(s60,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46378,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s59)
      | ~ succ(s59,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46382,plain,
    ( until27(s60)
    | ~ xuntil28(s59)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_46378]) ).

tcf(c_46383,plain,
    ( xuntil28(s60)
    | node26(s60)
    | ~ until27(s60) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46385,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s60)
      | ~ succ(s60,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46389,plain,
    ( until27(s61)
    | ~ xuntil28(s60)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_46385]) ).

tcf(c_46390,plain,
    ( xuntil28(s61)
    | node26(s61)
    | ~ until27(s61) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46392,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node26(s61) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46398,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s61)
      | ~ succ(s61,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46402,plain,
    ( until27(s62)
    | ~ xuntil28(s61)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_46398]) ).

tcf(c_46403,plain,
    ( xuntil28(s62)
    | node26(s62)
    | ~ until27(s62) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46404,plain,
    ( always25(s62)
    | ~ node26(s62) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46406,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s62)
      | ~ trans(s62,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46411,plain,
    ( always25(s63)
    | ~ always25(s62)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_46406]) ).

tcf(c_46412,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s63)
      | ~ trans(s63,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46416,plain,
    ( always25(s64)
    | ~ always25(s63)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_46412]) ).

tcf(c_46418,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s62)
      | ~ succ(s62,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46422,plain,
    ( until27(s63)
    | ~ xuntil28(s62)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_46418]) ).

tcf(c_46423,plain,
    ( xuntil28(s63)
    | node26(s63)
    | ~ until27(s63) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46424,plain,
    ( always25(s63)
    | ~ node26(s63) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46436,plain,
    ( ~ always25(s64)
    | ~ m_main_v_state2(s64,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46443,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s63)
      | ~ succ(s63,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46447,plain,
    ( until27(s64)
    | ~ xuntil28(s63)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_46443]) ).

tcf(c_46448,plain,
    ( xuntil28(s64)
    | node26(s64)
    | ~ until27(s64) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46450,plain,
    ( m_main_v_state2(s64,c_t2)
    | ~ node26(s64) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46452,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s64)
      | ~ succ(s64,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46456,plain,
    ( until27(s65)
    | ~ xuntil28(s64)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_46452]) ).

tcf(c_46457,plain,
    ( xuntil28(s65)
    | node26(s65)
    | ~ until27(s65) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46459,plain,
    ( m_main_v_state2(s65,c_t2)
    | ~ node26(s65) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46465,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s65)
      | ~ succ(s65,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46469,plain,
    ( until27(s66)
    | ~ xuntil28(s65)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_46465]) ).

tcf(c_46470,plain,
    ( xuntil28(s66)
    | node26(s66)
    | ~ until27(s66) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46471,plain,
    ( always25(s66)
    | ~ node26(s66) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46473,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s66)
      | ~ trans(s66,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46479,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s66)
      | ~ succ(s66,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46483,plain,
    ( until27(s67)
    | ~ xuntil28(s66)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_46479]) ).

tcf(c_46484,plain,
    ( xuntil28(s67)
    | node26(s67)
    | ~ until27(s67) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46486,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s67)
      | ~ succ(s67,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46490,plain,
    ( until27(s68)
    | ~ xuntil28(s67)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_46486]) ).

tcf(c_46491,plain,
    ( xuntil28(s68)
    | node26(s68)
    | ~ until27(s68) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46493,plain,
    ( m_main_v_state2(s68,c_t2)
    | ~ node26(s68) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46496,plain,
    ( ~ always25(s68)
    | ~ m_main_v_state2(s68,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46503,plain,
    ( always25(s67)
    | ~ always25(s66)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_46473]) ).

tcf(c_46504,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s67)
      | ~ trans(s67,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46508,plain,
    ( always25(s68)
    | ~ always25(s67)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_46504]) ).

tcf(c_46518,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s68)
      | ~ succ(s68,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46522,plain,
    ( until27(s69)
    | ~ xuntil28(s68)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_46518]) ).

tcf(c_46523,plain,
    ( xuntil28(s69)
    | node26(s69)
    | ~ until27(s69) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46525,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node26(s69) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46531,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s69)
      | ~ succ(s69,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46535,plain,
    ( until27(s70)
    | ~ xuntil28(s69)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_46531]) ).

tcf(c_46536,plain,
    ( xuntil28(s70)
    | node26(s70)
    | ~ until27(s70) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46537,plain,
    ( always25(s70)
    | ~ node26(s70) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46539,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s70)
      | ~ trans(s70,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46545,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s70)
      | ~ succ(s70,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46549,plain,
    ( until27(s71)
    | ~ xuntil28(s70)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_46545]) ).

tcf(c_46550,plain,
    ( xuntil28(s71)
    | node26(s71)
    | ~ until27(s71) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46552,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s71)
      | ~ succ(s71,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46556,plain,
    ( until27(s72)
    | ~ xuntil28(s71)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_46552]) ).

tcf(c_46557,plain,
    ( xuntil28(s72)
    | node26(s72)
    | ~ until27(s72) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46559,plain,
    ( m_main_v_state2(s72,c_t2)
    | ~ node26(s72) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46562,plain,
    ( ~ always25(s72)
    | ~ m_main_v_state2(s72,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46569,plain,
    ( always25(s71)
    | ~ always25(s70)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_46539]) ).

tcf(c_46570,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s71)
      | ~ trans(s71,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46574,plain,
    ( always25(s72)
    | ~ always25(s71)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_46570]) ).

tcf(c_46584,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s72)
      | ~ succ(s72,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46588,plain,
    ( until27(s73)
    | ~ xuntil28(s72)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_46584]) ).

tcf(c_46589,plain,
    ( xuntil28(s73)
    | node26(s73)
    | ~ until27(s73) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46591,plain,
    ( m_main_v_state2(s73,c_t2)
    | ~ node26(s73) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46597,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s73)
      | ~ succ(s73,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46601,plain,
    ( until27(s74)
    | ~ xuntil28(s73)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_46597]) ).

tcf(c_46602,plain,
    ( xuntil28(s74)
    | node26(s74)
    | ~ until27(s74) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46603,plain,
    ( always25(s74)
    | ~ node26(s74) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46605,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s74)
      | ~ trans(s74,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46612,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s74)
      | ~ succ(s74,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46616,plain,
    ( until27(s75)
    | ~ xuntil28(s74)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_46612]) ).

tcf(c_46617,plain,
    ( xuntil28(s75)
    | node26(s75)
    | ~ until27(s75) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46619,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s75)
      | ~ succ(s75,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46623,plain,
    ( until27(s76)
    | ~ xuntil28(s75)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_46619]) ).

tcf(c_46624,plain,
    ( xuntil28(s76)
    | node26(s76)
    | ~ until27(s76) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46626,plain,
    ( m_main_v_state2(s76,c_t2)
    | ~ node26(s76) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46629,plain,
    ( ~ always25(s76)
    | ~ m_main_v_state2(s76,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46636,plain,
    ( always25(s75)
    | ~ always25(s74)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_46605]) ).

tcf(c_46637,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s75)
      | ~ trans(s75,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46641,plain,
    ( always25(s76)
    | ~ always25(s75)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_46637]) ).

tcf(c_46642,plain,
    ( always25(s71)
    | ~ node26(s71) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46644,plain,
    ( always25(s67)
    | ~ node26(s67) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46678,plain,
    ( always25(s75)
    | ~ node26(s75) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46685,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s76)
      | ~ succ(s76,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46689,plain,
    ( until27(s77)
    | ~ xuntil28(s76)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_46685]) ).

tcf(c_46690,plain,
    ( xuntil28(s77)
    | node26(s77)
    | ~ until27(s77) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46692,plain,
    ( m_main_v_state2(s77,c_t2)
    | ~ node26(s77) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46698,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s77)
      | ~ succ(s77,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46702,plain,
    ( until27(s78)
    | ~ xuntil28(s77)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_46698]) ).

tcf(c_46703,plain,
    ( xuntil28(s78)
    | node26(s78)
    | ~ until27(s78) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46704,plain,
    ( always25(s78)
    | ~ node26(s78) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46706,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s78)
      | ~ trans(s78,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46712,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s78)
      | ~ succ(s78,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46716,plain,
    ( until27(s79)
    | ~ xuntil28(s78)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_46712]) ).

tcf(c_46717,plain,
    ( xuntil28(s79)
    | node26(s79)
    | ~ until27(s79) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46718,plain,
    ( always25(s79)
    | ~ node26(s79) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46720,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s79)
      | ~ trans(s79,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46727,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s79)
      | ~ succ(s79,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46731,plain,
    ( until27(s80)
    | ~ xuntil28(s79)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_46727]) ).

tcf(c_46732,plain,
    ( xuntil28(s80)
    | node26(s80)
    | ~ until27(s80) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46734,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node26(s80) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46737,plain,
    ( ~ always25(s80)
    | ~ m_main_v_state2(s80,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46740,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s80)
      | ~ succ(s80,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46744,plain,
    ( until27(s81)
    | ~ xuntil28(s80)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_46740]) ).

tcf(c_46745,plain,
    ( xuntil28(s81)
    | node26(s81)
    | ~ until27(s81) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46747,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s81)
      | ~ succ(s81,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46751,plain,
    ( until27(s82)
    | ~ xuntil28(s81)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_46747]) ).

tcf(c_46752,plain,
    ( xuntil28(s82)
    | node26(s82)
    | ~ until27(s82) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46753,plain,
    ( always25(s82)
    | ~ node26(s82) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46755,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s82)
      | ~ trans(s82,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46762,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s82)
      | ~ succ(s82,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46766,plain,
    ( until27(s83)
    | ~ xuntil28(s82)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_46762]) ).

tcf(c_46767,plain,
    ( xuntil28(s83)
    | node26(s83)
    | ~ until27(s83) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46768,plain,
    ( always25(s83)
    | ~ node26(s83) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46770,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s83)
      | ~ trans(s83,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46781,plain,
    ( always25(s83)
    | ~ always25(s82)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_46755]) ).

tcf(c_46785,plain,
    ( always25(s84)
    | ~ always25(s83)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_46770]) ).

tcf(c_46788,plain,
    ( ~ always25(s84)
    | ~ m_main_v_state2(s84,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46795,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s83)
      | ~ succ(s83,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46799,plain,
    ( until27(s84)
    | ~ xuntil28(s83)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_46795]) ).

tcf(c_46800,plain,
    ( xuntil28(s84)
    | node26(s84)
    | ~ until27(s84) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46802,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node26(s84) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46804,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s84)
      | ~ succ(s84,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46808,plain,
    ( until27(s85)
    | ~ xuntil28(s84)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_46804]) ).

tcf(c_46809,plain,
    ( xuntil28(s85)
    | node26(s85)
    | ~ until27(s85) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46811,plain,
    ( m_main_v_state2(s85,c_t2)
    | ~ node26(s85) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46817,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s85)
      | ~ succ(s85,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46821,plain,
    ( until27(s86)
    | ~ xuntil28(s85)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_46817]) ).

tcf(c_46822,plain,
    ( xuntil28(s86)
    | node26(s86)
    | ~ until27(s86) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46823,plain,
    ( always25(s86)
    | ~ node26(s86) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46825,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s86)
      | ~ trans(s86,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46831,plain,
    ( always25(s87)
    | ~ always25(s86)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_46825]) ).

tcf(c_46832,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s87)
      | ~ trans(s87,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46836,plain,
    ( always25(s88)
    | ~ always25(s87)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_46832]) ).

tcf(c_46838,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s86)
      | ~ succ(s86,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46842,plain,
    ( until27(s87)
    | ~ xuntil28(s86)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_46838]) ).

tcf(c_46843,plain,
    ( xuntil28(s87)
    | node26(s87)
    | ~ until27(s87) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46844,plain,
    ( always25(s87)
    | ~ node26(s87) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46847,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s87)
      | ~ succ(s87,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46851,plain,
    ( until27(s88)
    | ~ xuntil28(s87)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_46847]) ).

tcf(c_46852,plain,
    ( xuntil28(s88)
    | node26(s88)
    | ~ until27(s88) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46854,plain,
    ( m_main_v_state2(s88,c_t2)
    | ~ node26(s88) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46856,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s88)
      | ~ succ(s88,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46860,plain,
    ( until27(s89)
    | ~ xuntil28(s88)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_46856]) ).

tcf(c_46861,plain,
    ( xuntil28(s89)
    | node26(s89)
    | ~ until27(s89) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46863,plain,
    ( m_main_v_state2(s89,c_t2)
    | ~ node26(s89) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46869,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s89)
      | ~ succ(s89,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46873,plain,
    ( until27(s90)
    | ~ xuntil28(s89)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_46869]) ).

tcf(c_46874,plain,
    ( xuntil28(s90)
    | node26(s90)
    | ~ until27(s90) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46875,plain,
    ( always25(s90)
    | ~ node26(s90) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46877,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s90)
      | ~ trans(s90,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46883,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s90)
      | ~ succ(s90,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46887,plain,
    ( until27(s91)
    | ~ xuntil28(s90)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_46883]) ).

tcf(c_46888,plain,
    ( xuntil28(s91)
    | node26(s91)
    | ~ until27(s91) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46889,plain,
    ( always25(s91)
    | ~ node26(s91) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46891,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s91)
      | ~ trans(s91,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46902,plain,
    ( always25(s91)
    | ~ always25(s90)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_46877]) ).

tcf(c_46906,plain,
    ( always25(s92)
    | ~ always25(s91)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_46891]) ).

tcf(c_46909,plain,
    ( ~ always25(s92)
    | ~ m_main_v_state2(s92,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46916,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s91)
      | ~ succ(s91,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46920,plain,
    ( until27(s92)
    | ~ xuntil28(s91)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_46916]) ).

tcf(c_46921,plain,
    ( xuntil28(s92)
    | node26(s92)
    | ~ until27(s92) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46923,plain,
    ( m_main_v_state2(s92,c_t2)
    | ~ node26(s92) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46925,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s92)
      | ~ succ(s92,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46929,plain,
    ( until27(s93)
    | ~ xuntil28(s92)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_46925]) ).

tcf(c_46930,plain,
    ( xuntil28(s93)
    | node26(s93)
    | ~ until27(s93) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46932,plain,
    ( m_main_v_state2(s93,c_t2)
    | ~ node26(s93) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46938,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s93)
      | ~ succ(s93,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46942,plain,
    ( until27(s94)
    | ~ xuntil28(s93)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_46938]) ).

tcf(c_46943,plain,
    ( xuntil28(s94)
    | node26(s94)
    | ~ until27(s94) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46944,plain,
    ( always25(s94)
    | ~ node26(s94) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46946,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s94)
      | ~ trans(s94,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46953,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s94)
      | ~ succ(s94,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46957,plain,
    ( until27(s95)
    | ~ xuntil28(s94)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_46953]) ).

tcf(c_46958,plain,
    ( xuntil28(s95)
    | node26(s95)
    | ~ until27(s95) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46959,plain,
    ( always25(s95)
    | ~ node26(s95) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_46961,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s95)
      | ~ trans(s95,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_46972,plain,
    ( always25(s95)
    | ~ always25(s94)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_46946]) ).

tcf(c_46976,plain,
    ( always25(s96)
    | ~ always25(s95)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_46961]) ).

tcf(c_46979,plain,
    ( ~ always25(s96)
    | ~ m_main_v_state2(s96,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_46986,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s95)
      | ~ succ(s95,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46990,plain,
    ( until27(s96)
    | ~ xuntil28(s95)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_46986]) ).

tcf(c_46991,plain,
    ( xuntil28(s96)
    | node26(s96)
    | ~ until27(s96) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_46993,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node26(s96) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_46995,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s96)
      | ~ succ(s96,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_46999,plain,
    ( until27(s97)
    | ~ xuntil28(s96)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_46995]) ).

tcf(c_47000,plain,
    ( xuntil28(s97)
    | node26(s97)
    | ~ until27(s97) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47002,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s97)
      | ~ succ(s97,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_47006,plain,
    ( until27(s98)
    | ~ xuntil28(s97)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_47002]) ).

tcf(c_47007,plain,
    ( xuntil28(s98)
    | node26(s98)
    | ~ until27(s98) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_47008,plain,
    ( always25(s98)
    | ~ node26(s98) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_47010,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s98)
      | ~ trans(s98,X0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47013,plain,
    ( always25(s99)
    | ~ always25(s98)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_47010]) ).

tcf(c_47119,plain,
    ( ~ always25(s88)
    | ~ m_main_v_state2(s88,c_c2) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_47151,plain,
    ( always25(s30)
    | ~ always25(s29)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47224,plain,
    ( node7(s99,s0)
    | ~ trans(s99,s0) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47236,plain,
    ( node18(s99,s1)
    | ~ trans(s99,s1) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47248,plain,
    ( node7(s99,s2)
    | ~ trans(s99,s2) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47250,plain,
    ( node18(s99,s3)
    | ~ trans(s99,s3) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47253,plain,
    ( always25(s4)
    | ~ always25(s99)
    | ~ trans(s99,s4) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47259,plain,
    ( node14(s99,s5)
    | ~ trans(s99,s5) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47264,plain,
    ( node7(s99,s6)
    | ~ trans(s99,s6) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47267,plain,
    ( node14(s99,s9)
    | ~ trans(s99,s9) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47271,plain,
    ( node14(s99,s85)
    | ~ trans(s99,s85) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47274,plain,
    ( node18(s99,s11)
    | ~ trans(s99,s11) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47277,plain,
    ( always25(s12)
    | ~ always25(s99)
    | ~ trans(s99,s12) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47283,plain,
    ( node14(s99,s13)
    | ~ trans(s99,s13) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47285,plain,
    ( always25(s20)
    | ~ always25(s99)
    | ~ trans(s99,s20) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47290,plain,
    ( node18(s99,s15)
    | ~ trans(s99,s15) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47293,plain,
    ( always25(s16)
    | ~ always25(s99)
    | ~ trans(s99,s16) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47300,plain,
    ( node7(s99,s7)
    | ~ trans(s99,s7) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47301,plain,
    ( always25(s8)
    | ~ always25(s99)
    | ~ trans(s99,s8) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47308,plain,
    ( node7(s99,s10)
    | ~ trans(s99,s10) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47310,plain,
    ( node18(s99,s14)
    | ~ trans(s99,s14) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47314,plain,
    ( node18(s99,s18)
    | ~ trans(s99,s18) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47318,plain,
    ( node18(s99,s19)
    | ~ trans(s99,s19) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47323,plain,
    ( node14(s99,s21)
    | ~ trans(s99,s21) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47326,plain,
    ( node18(s99,s22)
    | ~ trans(s99,s22) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47330,plain,
    ( node18(s99,s26)
    | ~ trans(s99,s26) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47336,plain,
    ( node7(s99,s27)
    | ~ trans(s99,s27) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47337,plain,
    ( always25(s29)
    | ~ always25(s99)
    | ~ trans(s99,s29) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47342,plain,
    ( node18(s99,s31)
    | ~ trans(s99,s31) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47345,plain,
    ( always25(s40)
    | ~ always25(s99)
    | ~ trans(s99,s40) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47350,plain,
    ( node18(s99,s70)
    | ~ trans(s99,s70) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47355,plain,
    ( node14(s99,s73)
    | ~ trans(s99,s73) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47359,plain,
    ( node14(s99,s17)
    | ~ trans(s99,s17) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47362,plain,
    ( node18(s99,s23)
    | ~ trans(s99,s23) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47365,plain,
    ( always25(s24)
    | ~ always25(s99)
    | ~ trans(s99,s24) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47369,plain,
    ( always25(s44)
    | ~ always25(s99)
    | ~ trans(s99,s44) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47375,plain,
    ( node14(s99,s45)
    | ~ trans(s99,s45) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47378,plain,
    ( node18(s99,s46)
    | ~ trans(s99,s46) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47383,plain,
    ( node14(s99,s65)
    | ~ trans(s99,s65) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47386,plain,
    ( node18(s99,s34)
    | ~ trans(s99,s34) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47390,plain,
    ( node18(s99,s67)
    | ~ trans(s99,s67) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47393,plain,
    ( always25(s72)
    | ~ always25(s99)
    | ~ trans(s99,s72) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47398,plain,
    ( node18(s99,s35)
    | ~ trans(s99,s35) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47404,plain,
    ( node7(s99,s47)
    | ~ trans(s99,s47) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47408,plain,
    ( node7(s99,s83)
    | ~ trans(s99,s83) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47411,plain,
    ( node14(s99,s49)
    | ~ trans(s99,s49) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47415,plain,
    ( node14(s99,s81)
    | ~ trans(s99,s81) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47418,plain,
    ( node18(s99,s43)
    | ~ trans(s99,s43) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47421,plain,
    ( always25(s48)
    | ~ always25(s99)
    | ~ trans(s99,s48) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47428,plain,
    ( node7(s99,s50)
    | ~ trans(s99,s50) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47430,plain,
    ( node18(s99,s51)
    | ~ trans(s99,s51) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47436,plain,
    ( node7(s99,s54)
    | ~ trans(s99,s54) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47437,plain,
    ( always25(s56)
    | ~ always25(s99)
    | ~ trans(s99,s56) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47444,plain,
    ( node7(s99,s63)
    | ~ trans(s99,s63) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47445,plain,
    ( always25(s64)
    | ~ always25(s99)
    | ~ trans(s99,s64) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47451,plain,
    ( node14(s99,s69)
    | ~ trans(s99,s69) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47453,plain,
    ( always25(s68)
    | ~ always25(s99)
    | ~ trans(s99,s68) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47458,plain,
    ( node18(s99,s39)
    | ~ trans(s99,s39) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47464,plain,
    ( node7(s99,s42)
    | ~ trans(s99,s42) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47465,plain,
    ( always25(s92)
    | ~ always25(s99)
    | ~ trans(s99,s92) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47470,plain,
    ( node18(s99,s95)
    | ~ trans(s99,s95) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47474,plain,
    ( node18(s99,s71)
    | ~ trans(s99,s71) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47477,plain,
    ( always25(s76)
    | ~ always25(s99)
    | ~ trans(s99,s76) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47483,plain,
    ( node14(s99,s41)
    | ~ trans(s99,s41) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47485,plain,
    ( always25(s52)
    | ~ always25(s99)
    | ~ trans(s99,s52) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47490,plain,
    ( node18(s99,s58)
    | ~ trans(s99,s58) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47494,plain,
    ( node18(s99,s55)
    | ~ trans(s99,s55) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47499,plain,
    ( node14(s99,s57)
    | ~ trans(s99,s57) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47501,plain,
    ( always25(s36)
    | ~ always25(s99)
    | ~ trans(s99,s36) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47505,plain,
    ( always25(s60)
    | ~ always25(s99)
    | ~ trans(s99,s60) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47511,plain,
    ( node14(s99,s61)
    | ~ trans(s99,s61) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47514,plain,
    ( node18(s99,s91)
    | ~ trans(s99,s91) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47519,plain,
    ( node14(s99,s89)
    | ~ trans(s99,s89) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47522,plain,
    ( node18(s99,s98)
    | ~ trans(s99,s98) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47528,plain,
    ( node7(s99,s74)
    | ~ trans(s99,s74) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47532,plain,
    ( node7(s99,s75)
    | ~ trans(s99,s75) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47535,plain,
    ( node14(s99,s77)
    | ~ trans(s99,s77) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47540,plain,
    ( node7(s99,s78)
    | ~ trans(s99,s78) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47541,plain,
    ( always25(s80)
    | ~ always25(s99)
    | ~ trans(s99,s80) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47547,plain,
    ( node14(s99,s33)
    | ~ trans(s99,s33) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47551,plain,
    ( node14(s99,s37)
    | ~ trans(s99,s37) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47553,plain,
    ( always25(s28)
    | ~ always25(s99)
    | ~ trans(s99,s28) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47560,plain,
    ( node7(s99,s38)
    | ~ trans(s99,s38) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47563,plain,
    ( node14(s99,s53)
    | ~ trans(s99,s53) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47566,plain,
    ( node18(s99,s82)
    | ~ trans(s99,s82) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47569,plain,
    ( always25(s84)
    | ~ always25(s99)
    | ~ trans(s99,s84) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47574,plain,
    ( node18(s99,s86)
    | ~ trans(s99,s86) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47580,plain,
    ( node7(s99,s87)
    | ~ trans(s99,s87) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47581,plain,
    ( always25(s88)
    | ~ always25(s99)
    | ~ trans(s99,s88) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47586,plain,
    ( node18(s99,s90)
    | ~ trans(s99,s90) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47591,plain,
    ( node14(s99,s93)
    | ~ trans(s99,s93) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47594,plain,
    ( node18(s99,s94)
    | ~ trans(s99,s94) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47599,plain,
    ( node14(s99,s97)
    | ~ trans(s99,s97) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47603,plain,
    ( node14(s99,s25)
    | ~ trans(s99,s25) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_47608,plain,
    ( node7(s99,s30)
    | ~ trans(s99,s30) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47609,plain,
    ( always25(s32)
    | ~ always25(s99)
    | ~ trans(s99,s32) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47614,plain,
    ( node18(s99,s59)
    | ~ trans(s99,s59) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47618,plain,
    ( node18(s99,s62)
    | ~ trans(s99,s62) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47622,plain,
    ( node18(s99,s66)
    | ~ trans(s99,s66) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_47628,plain,
    ( node7(s99,s79)
    | ~ trans(s99,s79) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_47629,plain,
    ( always25(s96)
    | ~ always25(s99)
    | ~ trans(s99,s96) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_47641,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_47667,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_48003,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_48134,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_48174,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_48204,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_48243,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_48274,plain,
    ( always25(s79)
    | ~ always25(s78)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_46706]) ).

tcf(c_48286,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_48314,plain,
    ( always25(s80)
    | ~ always25(s79)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_46720]) ).

tcf(c_48324,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_48356,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s98)
      | ~ succ(s98,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_48358,plain,
    ( until27(s99)
    | ~ xuntil28(s98)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_48356]) ).

tcf(c_48759,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_48773,plain,
    ( xuntil2p30(s97)
    | node26(s97)
    | ~ until2p29(s97) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48777,plain,
    ( until2p29(s88)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s88) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_48803,plain,
    ( xuntil2p30(s88)
    | node26(s88)
    | ~ until2p29(s88) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_48818,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s88)
      | ~ succ(s88,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_48831,plain,
    ( until2p29(s89)
    | ~ xuntil2p30(s88)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_48818]) ).

tcf(c_49112,plain,
    ( xuntil2p30(s89)
    | node26(s89)
    | ~ until2p29(s89) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49113,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s89)
      | ~ succ(s89,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49116,plain,
    ( until2p29(s90)
    | ~ xuntil2p30(s89)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_49113]) ).

tcf(c_49117,plain,
    ( xuntil2p30(s90)
    | node26(s90)
    | ~ until2p29(s90) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49118,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s90)
      | ~ succ(s90,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49121,plain,
    ( until2p29(s91)
    | ~ xuntil2p30(s90)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_49118]) ).

tcf(c_49122,plain,
    ( xuntil2p30(s91)
    | node26(s91)
    | ~ until2p29(s91) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49123,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s91)
      | ~ succ(s91,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49126,plain,
    ( until2p29(s92)
    | ~ xuntil2p30(s91)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_49123]) ).

tcf(c_49127,plain,
    ( xuntil2p30(s92)
    | node26(s92)
    | ~ until2p29(s92) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49128,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s92)
      | ~ succ(s92,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49131,plain,
    ( until2p29(s93)
    | ~ xuntil2p30(s92)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_49128]) ).

tcf(c_49132,plain,
    ( xuntil2p30(s93)
    | node26(s93)
    | ~ until2p29(s93) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49133,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s93)
      | ~ succ(s93,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49136,plain,
    ( until2p29(s94)
    | ~ xuntil2p30(s93)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_49133]) ).

tcf(c_49137,plain,
    ( xuntil2p30(s94)
    | node26(s94)
    | ~ until2p29(s94) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49138,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s94)
      | ~ succ(s94,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49141,plain,
    ( until2p29(s95)
    | ~ xuntil2p30(s94)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_49138]) ).

tcf(c_49142,plain,
    ( xuntil2p30(s95)
    | node26(s95)
    | ~ until2p29(s95) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49143,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s95)
      | ~ succ(s95,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49146,plain,
    ( until2p29(s96)
    | ~ xuntil2p30(s95)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_49143]) ).

tcf(c_49147,plain,
    ( xuntil2p30(s96)
    | node26(s96)
    | ~ until2p29(s96) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49148,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s96)
      | ~ succ(s96,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49151,plain,
    ( until2p29(s97)
    | ~ xuntil2p30(s96)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_49148]) ).

tcf(c_49153,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s97)
      | ~ succ(s97,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49156,plain,
    ( until2p29(s98)
    | ~ xuntil2p30(s97)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_49153]) ).

tcf(c_49157,plain,
    ( xuntil2p30(s98)
    | node26(s98)
    | ~ until2p29(s98) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49158,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s98)
      | ~ succ(s98,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49160,plain,
    ( until2p29(s99)
    | ~ xuntil2p30(s98)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_49158]) ).

tcf(c_49161,plain,
    ( until2p29(s68)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s68) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_49258,plain,
    ( xuntil2p30(s68)
    | node26(s68)
    | ~ until2p29(s68) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49266,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s68)
      | ~ succ(s68,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49269,plain,
    ( until2p29(s69)
    | ~ xuntil2p30(s68)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_49266]) ).

tcf(c_49270,plain,
    ( xuntil2p30(s69)
    | node26(s69)
    | ~ until2p29(s69) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49271,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s69)
      | ~ succ(s69,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49274,plain,
    ( until2p29(s70)
    | ~ xuntil2p30(s69)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_49271]) ).

tcf(c_49275,plain,
    ( xuntil2p30(s70)
    | node26(s70)
    | ~ until2p29(s70) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49276,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s70)
      | ~ succ(s70,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49279,plain,
    ( until2p29(s71)
    | ~ xuntil2p30(s70)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_49276]) ).

tcf(c_49280,plain,
    ( xuntil2p30(s71)
    | node26(s71)
    | ~ until2p29(s71) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49281,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s71)
      | ~ succ(s71,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49284,plain,
    ( until2p29(s72)
    | ~ xuntil2p30(s71)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_49281]) ).

tcf(c_49285,plain,
    ( xuntil2p30(s72)
    | node26(s72)
    | ~ until2p29(s72) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49286,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s72)
      | ~ succ(s72,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49289,plain,
    ( until2p29(s73)
    | ~ xuntil2p30(s72)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_49286]) ).

tcf(c_49290,plain,
    ( xuntil2p30(s73)
    | node26(s73)
    | ~ until2p29(s73) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49291,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s73)
      | ~ succ(s73,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49294,plain,
    ( until2p29(s74)
    | ~ xuntil2p30(s73)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_49291]) ).

tcf(c_49295,plain,
    ( xuntil2p30(s74)
    | node26(s74)
    | ~ until2p29(s74) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49296,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s74)
      | ~ succ(s74,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49299,plain,
    ( until2p29(s75)
    | ~ xuntil2p30(s74)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_49296]) ).

tcf(c_49300,plain,
    ( xuntil2p30(s75)
    | node26(s75)
    | ~ until2p29(s75) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49301,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s75)
      | ~ succ(s75,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49304,plain,
    ( until2p29(s76)
    | ~ xuntil2p30(s75)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_49301]) ).

tcf(c_49305,plain,
    ( xuntil2p30(s76)
    | node26(s76)
    | ~ until2p29(s76) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49306,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s76)
      | ~ succ(s76,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49309,plain,
    ( until2p29(s77)
    | ~ xuntil2p30(s76)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_49306]) ).

tcf(c_49310,plain,
    ( xuntil2p30(s77)
    | node26(s77)
    | ~ until2p29(s77) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49311,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s77)
      | ~ succ(s77,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49314,plain,
    ( until2p29(s78)
    | ~ xuntil2p30(s77)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_49311]) ).

tcf(c_49315,plain,
    ( xuntil2p30(s78)
    | node26(s78)
    | ~ until2p29(s78) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49316,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s78)
      | ~ succ(s78,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49319,plain,
    ( until2p29(s79)
    | ~ xuntil2p30(s78)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_49316]) ).

tcf(c_49320,plain,
    ( xuntil2p30(s79)
    | node26(s79)
    | ~ until2p29(s79) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49321,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s79)
      | ~ succ(s79,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49324,plain,
    ( until2p29(s80)
    | ~ xuntil2p30(s79)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_49321]) ).

tcf(c_49325,plain,
    ( xuntil2p30(s80)
    | node26(s80)
    | ~ until2p29(s80) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49326,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s80)
      | ~ succ(s80,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49329,plain,
    ( until2p29(s81)
    | ~ xuntil2p30(s80)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_49326]) ).

tcf(c_49330,plain,
    ( xuntil2p30(s81)
    | node26(s81)
    | ~ until2p29(s81) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49331,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s81)
      | ~ succ(s81,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49334,plain,
    ( until2p29(s82)
    | ~ xuntil2p30(s81)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_49331]) ).

tcf(c_49335,plain,
    ( xuntil2p30(s82)
    | node26(s82)
    | ~ until2p29(s82) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49336,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s82)
      | ~ succ(s82,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49339,plain,
    ( until2p29(s83)
    | ~ xuntil2p30(s82)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_49336]) ).

tcf(c_49340,plain,
    ( xuntil2p30(s83)
    | node26(s83)
    | ~ until2p29(s83) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49341,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s83)
      | ~ succ(s83,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49344,plain,
    ( until2p29(s84)
    | ~ xuntil2p30(s83)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_49341]) ).

tcf(c_49345,plain,
    ( xuntil2p30(s84)
    | node26(s84)
    | ~ until2p29(s84) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49346,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s84)
      | ~ succ(s84,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49349,plain,
    ( until2p29(s85)
    | ~ xuntil2p30(s84)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_49346]) ).

tcf(c_49350,plain,
    ( xuntil2p30(s85)
    | node26(s85)
    | ~ until2p29(s85) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49351,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s85)
      | ~ succ(s85,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49354,plain,
    ( until2p29(s86)
    | ~ xuntil2p30(s85)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_49351]) ).

tcf(c_49355,plain,
    ( xuntil2p30(s86)
    | node26(s86)
    | ~ until2p29(s86) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49356,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s86)
      | ~ succ(s86,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49359,plain,
    ( until2p29(s87)
    | ~ xuntil2p30(s86)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_49356]) ).

tcf(c_49360,plain,
    ( xuntil2p30(s87)
    | node26(s87)
    | ~ until2p29(s87) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49361,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s87)
      | ~ succ(s87,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49364,plain,
    ( until2p29(s88)
    | ~ xuntil2p30(s87)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_49361]) ).

tcf(c_49365,plain,
    ( until2p29(s8)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s8) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_49537,plain,
    ( xuntil2p30(s8)
    | node26(s8)
    | ~ until2p29(s8) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49545,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49548,plain,
    ( until2p29(s9)
    | ~ xuntil2p30(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_49545]) ).

tcf(c_49549,plain,
    ( xuntil2p30(s9)
    | node26(s9)
    | ~ until2p29(s9) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49550,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49553,plain,
    ( until2p29(s10)
    | ~ xuntil2p30(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_49550]) ).

tcf(c_49554,plain,
    ( xuntil2p30(s10)
    | node26(s10)
    | ~ until2p29(s10) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49555,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49558,plain,
    ( until2p29(s11)
    | ~ xuntil2p30(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_49555]) ).

tcf(c_49559,plain,
    ( xuntil2p30(s11)
    | node26(s11)
    | ~ until2p29(s11) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49560,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49563,plain,
    ( until2p29(s12)
    | ~ xuntil2p30(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_49560]) ).

tcf(c_49564,plain,
    ( xuntil2p30(s12)
    | node26(s12)
    | ~ until2p29(s12) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49565,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49568,plain,
    ( until2p29(s13)
    | ~ xuntil2p30(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_49565]) ).

tcf(c_49569,plain,
    ( xuntil2p30(s13)
    | node26(s13)
    | ~ until2p29(s13) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49570,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49573,plain,
    ( until2p29(s14)
    | ~ xuntil2p30(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_49570]) ).

tcf(c_49574,plain,
    ( xuntil2p30(s14)
    | node26(s14)
    | ~ until2p29(s14) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49575,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49578,plain,
    ( until2p29(s15)
    | ~ xuntil2p30(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_49575]) ).

tcf(c_49579,plain,
    ( xuntil2p30(s15)
    | node26(s15)
    | ~ until2p29(s15) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49580,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49583,plain,
    ( until2p29(s16)
    | ~ xuntil2p30(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_49580]) ).

tcf(c_49584,plain,
    ( xuntil2p30(s16)
    | node26(s16)
    | ~ until2p29(s16) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49585,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49588,plain,
    ( until2p29(s17)
    | ~ xuntil2p30(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_49585]) ).

tcf(c_49589,plain,
    ( xuntil2p30(s17)
    | node26(s17)
    | ~ until2p29(s17) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49590,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49593,plain,
    ( until2p29(s18)
    | ~ xuntil2p30(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_49590]) ).

tcf(c_49594,plain,
    ( xuntil2p30(s18)
    | node26(s18)
    | ~ until2p29(s18) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49595,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49598,plain,
    ( until2p29(s19)
    | ~ xuntil2p30(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_49595]) ).

tcf(c_49599,plain,
    ( xuntil2p30(s19)
    | node26(s19)
    | ~ until2p29(s19) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49600,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49603,plain,
    ( until2p29(s20)
    | ~ xuntil2p30(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_49600]) ).

tcf(c_49604,plain,
    ( xuntil2p30(s20)
    | node26(s20)
    | ~ until2p29(s20) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49605,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49608,plain,
    ( until2p29(s21)
    | ~ xuntil2p30(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_49605]) ).

tcf(c_49609,plain,
    ( xuntil2p30(s21)
    | node26(s21)
    | ~ until2p29(s21) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49610,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49613,plain,
    ( until2p29(s22)
    | ~ xuntil2p30(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_49610]) ).

tcf(c_49614,plain,
    ( xuntil2p30(s22)
    | node26(s22)
    | ~ until2p29(s22) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49615,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49618,plain,
    ( until2p29(s23)
    | ~ xuntil2p30(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_49615]) ).

tcf(c_49619,plain,
    ( xuntil2p30(s23)
    | node26(s23)
    | ~ until2p29(s23) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49620,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49623,plain,
    ( until2p29(s24)
    | ~ xuntil2p30(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_49620]) ).

tcf(c_49624,plain,
    ( xuntil2p30(s24)
    | node26(s24)
    | ~ until2p29(s24) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49625,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49628,plain,
    ( until2p29(s25)
    | ~ xuntil2p30(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_49625]) ).

tcf(c_49629,plain,
    ( xuntil2p30(s25)
    | node26(s25)
    | ~ until2p29(s25) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49630,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49633,plain,
    ( until2p29(s26)
    | ~ xuntil2p30(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_49630]) ).

tcf(c_49634,plain,
    ( xuntil2p30(s26)
    | node26(s26)
    | ~ until2p29(s26) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49635,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49638,plain,
    ( until2p29(s27)
    | ~ xuntil2p30(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_49635]) ).

tcf(c_49639,plain,
    ( xuntil2p30(s27)
    | node26(s27)
    | ~ until2p29(s27) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49640,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49643,plain,
    ( until2p29(s28)
    | ~ xuntil2p30(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_49640]) ).

tcf(c_49644,plain,
    ( xuntil2p30(s28)
    | node26(s28)
    | ~ until2p29(s28) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49645,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49648,plain,
    ( until2p29(s29)
    | ~ xuntil2p30(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_49645]) ).

tcf(c_49649,plain,
    ( xuntil2p30(s29)
    | node26(s29)
    | ~ until2p29(s29) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49650,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49653,plain,
    ( until2p29(s30)
    | ~ xuntil2p30(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_49650]) ).

tcf(c_49654,plain,
    ( xuntil2p30(s30)
    | node26(s30)
    | ~ until2p29(s30) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49655,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49658,plain,
    ( until2p29(s31)
    | ~ xuntil2p30(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_49655]) ).

tcf(c_49659,plain,
    ( xuntil2p30(s31)
    | node26(s31)
    | ~ until2p29(s31) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49660,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49663,plain,
    ( until2p29(s32)
    | ~ xuntil2p30(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_49660]) ).

tcf(c_49664,plain,
    ( xuntil2p30(s32)
    | node26(s32)
    | ~ until2p29(s32) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49665,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49668,plain,
    ( until2p29(s33)
    | ~ xuntil2p30(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_49665]) ).

tcf(c_49669,plain,
    ( xuntil2p30(s33)
    | node26(s33)
    | ~ until2p29(s33) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49670,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49673,plain,
    ( until2p29(s34)
    | ~ xuntil2p30(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_49670]) ).

tcf(c_49674,plain,
    ( xuntil2p30(s34)
    | node26(s34)
    | ~ until2p29(s34) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49675,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49678,plain,
    ( until2p29(s35)
    | ~ xuntil2p30(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_49675]) ).

tcf(c_49679,plain,
    ( xuntil2p30(s35)
    | node26(s35)
    | ~ until2p29(s35) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49680,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49683,plain,
    ( until2p29(s36)
    | ~ xuntil2p30(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_49680]) ).

tcf(c_49684,plain,
    ( xuntil2p30(s36)
    | node26(s36)
    | ~ until2p29(s36) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49685,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49688,plain,
    ( until2p29(s37)
    | ~ xuntil2p30(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_49685]) ).

tcf(c_49689,plain,
    ( xuntil2p30(s37)
    | node26(s37)
    | ~ until2p29(s37) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49690,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49693,plain,
    ( until2p29(s38)
    | ~ xuntil2p30(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_49690]) ).

tcf(c_49694,plain,
    ( xuntil2p30(s38)
    | node26(s38)
    | ~ until2p29(s38) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49695,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49698,plain,
    ( until2p29(s39)
    | ~ xuntil2p30(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_49695]) ).

tcf(c_49699,plain,
    ( xuntil2p30(s39)
    | node26(s39)
    | ~ until2p29(s39) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49700,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49703,plain,
    ( until2p29(s40)
    | ~ xuntil2p30(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_49700]) ).

tcf(c_49704,plain,
    ( xuntil2p30(s40)
    | node26(s40)
    | ~ until2p29(s40) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49705,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49708,plain,
    ( until2p29(s41)
    | ~ xuntil2p30(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_49705]) ).

tcf(c_49709,plain,
    ( xuntil2p30(s41)
    | node26(s41)
    | ~ until2p29(s41) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49710,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49713,plain,
    ( until2p29(s42)
    | ~ xuntil2p30(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_49710]) ).

tcf(c_49714,plain,
    ( xuntil2p30(s42)
    | node26(s42)
    | ~ until2p29(s42) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49715,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49718,plain,
    ( until2p29(s43)
    | ~ xuntil2p30(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_49715]) ).

tcf(c_49719,plain,
    ( xuntil2p30(s43)
    | node26(s43)
    | ~ until2p29(s43) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49720,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49723,plain,
    ( until2p29(s44)
    | ~ xuntil2p30(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_49720]) ).

tcf(c_49724,plain,
    ( xuntil2p30(s44)
    | node26(s44)
    | ~ until2p29(s44) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49725,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49728,plain,
    ( until2p29(s45)
    | ~ xuntil2p30(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_49725]) ).

tcf(c_49729,plain,
    ( xuntil2p30(s45)
    | node26(s45)
    | ~ until2p29(s45) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49730,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49733,plain,
    ( until2p29(s46)
    | ~ xuntil2p30(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_49730]) ).

tcf(c_49734,plain,
    ( xuntil2p30(s46)
    | node26(s46)
    | ~ until2p29(s46) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49735,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49738,plain,
    ( until2p29(s47)
    | ~ xuntil2p30(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_49735]) ).

tcf(c_49739,plain,
    ( xuntil2p30(s47)
    | node26(s47)
    | ~ until2p29(s47) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49740,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49743,plain,
    ( until2p29(s48)
    | ~ xuntil2p30(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_49740]) ).

tcf(c_49744,plain,
    ( xuntil2p30(s48)
    | node26(s48)
    | ~ until2p29(s48) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49745,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49748,plain,
    ( until2p29(s49)
    | ~ xuntil2p30(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_49745]) ).

tcf(c_49749,plain,
    ( xuntil2p30(s49)
    | node26(s49)
    | ~ until2p29(s49) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49750,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49753,plain,
    ( until2p29(s50)
    | ~ xuntil2p30(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_49750]) ).

tcf(c_49754,plain,
    ( xuntil2p30(s50)
    | node26(s50)
    | ~ until2p29(s50) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49755,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49758,plain,
    ( until2p29(s51)
    | ~ xuntil2p30(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_49755]) ).

tcf(c_49759,plain,
    ( xuntil2p30(s51)
    | node26(s51)
    | ~ until2p29(s51) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49760,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49763,plain,
    ( until2p29(s52)
    | ~ xuntil2p30(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_49760]) ).

tcf(c_49764,plain,
    ( xuntil2p30(s52)
    | node26(s52)
    | ~ until2p29(s52) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49765,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49768,plain,
    ( until2p29(s53)
    | ~ xuntil2p30(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_49765]) ).

tcf(c_49769,plain,
    ( xuntil2p30(s53)
    | node26(s53)
    | ~ until2p29(s53) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49770,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49773,plain,
    ( until2p29(s54)
    | ~ xuntil2p30(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_49770]) ).

tcf(c_49774,plain,
    ( xuntil2p30(s54)
    | node26(s54)
    | ~ until2p29(s54) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49775,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49778,plain,
    ( until2p29(s55)
    | ~ xuntil2p30(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_49775]) ).

tcf(c_49779,plain,
    ( xuntil2p30(s55)
    | node26(s55)
    | ~ until2p29(s55) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49780,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49783,plain,
    ( until2p29(s56)
    | ~ xuntil2p30(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_49780]) ).

tcf(c_49784,plain,
    ( xuntil2p30(s56)
    | node26(s56)
    | ~ until2p29(s56) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49785,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49788,plain,
    ( until2p29(s57)
    | ~ xuntil2p30(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_49785]) ).

tcf(c_49789,plain,
    ( xuntil2p30(s57)
    | node26(s57)
    | ~ until2p29(s57) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49790,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49793,plain,
    ( until2p29(s58)
    | ~ xuntil2p30(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_49790]) ).

tcf(c_49794,plain,
    ( xuntil2p30(s58)
    | node26(s58)
    | ~ until2p29(s58) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49795,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49798,plain,
    ( until2p29(s59)
    | ~ xuntil2p30(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_49795]) ).

tcf(c_49799,plain,
    ( xuntil2p30(s59)
    | node26(s59)
    | ~ until2p29(s59) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49800,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s59)
      | ~ succ(s59,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49803,plain,
    ( until2p29(s60)
    | ~ xuntil2p30(s59)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_49800]) ).

tcf(c_49804,plain,
    ( xuntil2p30(s60)
    | node26(s60)
    | ~ until2p29(s60) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49805,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s60)
      | ~ succ(s60,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49808,plain,
    ( until2p29(s61)
    | ~ xuntil2p30(s60)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_49805]) ).

tcf(c_49809,plain,
    ( xuntil2p30(s61)
    | node26(s61)
    | ~ until2p29(s61) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49810,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s61)
      | ~ succ(s61,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49813,plain,
    ( until2p29(s62)
    | ~ xuntil2p30(s61)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_49810]) ).

tcf(c_49814,plain,
    ( xuntil2p30(s62)
    | node26(s62)
    | ~ until2p29(s62) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49815,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s62)
      | ~ succ(s62,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49818,plain,
    ( until2p29(s63)
    | ~ xuntil2p30(s62)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_49815]) ).

tcf(c_49819,plain,
    ( xuntil2p30(s63)
    | node26(s63)
    | ~ until2p29(s63) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49820,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s63)
      | ~ succ(s63,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49823,plain,
    ( until2p29(s64)
    | ~ xuntil2p30(s63)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_49820]) ).

tcf(c_49824,plain,
    ( xuntil2p30(s64)
    | node26(s64)
    | ~ until2p29(s64) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49825,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s64)
      | ~ succ(s64,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49828,plain,
    ( until2p29(s65)
    | ~ xuntil2p30(s64)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_49825]) ).

tcf(c_49829,plain,
    ( xuntil2p30(s65)
    | node26(s65)
    | ~ until2p29(s65) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49830,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s65)
      | ~ succ(s65,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49833,plain,
    ( until2p29(s66)
    | ~ xuntil2p30(s65)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_49830]) ).

tcf(c_49834,plain,
    ( xuntil2p30(s66)
    | node26(s66)
    | ~ until2p29(s66) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49835,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s66)
      | ~ succ(s66,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49838,plain,
    ( until2p29(s67)
    | ~ xuntil2p30(s66)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_49835]) ).

tcf(c_49839,plain,
    ( xuntil2p30(s67)
    | node26(s67)
    | ~ until2p29(s67) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_49840,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s67)
      | ~ succ(s67,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49843,plain,
    ( until2p29(s68)
    | ~ xuntil2p30(s67)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_49840]) ).

tcf(c_49844,plain,
    ( until2p29(s24)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s24) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_49941,plain,
    ( until2p29(s44)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s44) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_49978,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_50009,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_50046,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_50063,plain,
    ( until2p29(s84)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s84) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50165,plain,
    ( until2p29(s96)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s96) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50204,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_50239,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_50260,plain,
    ( xuntil2p30(s5)
    | node26(s5)
    | ~ until2p29(s5) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_50271,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_50288,plain,
    ( until2p29(s92)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s92) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50317,plain,
    ( until2p29(s4)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s4) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50499,plain,
    ( xuntil2p30(s4)
    | node26(s4)
    | ~ until2p29(s4) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_50507,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_50510,plain,
    ( until2p29(s5)
    | ~ xuntil2p30(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_50507]) ).

tcf(c_50512,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_50515,plain,
    ( until2p29(s6)
    | ~ xuntil2p30(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_50512]) ).

tcf(c_50516,plain,
    ( xuntil2p30(s6)
    | node26(s6)
    | ~ until2p29(s6) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_50517,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_50520,plain,
    ( until2p29(s7)
    | ~ xuntil2p30(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_50517]) ).

tcf(c_50521,plain,
    ( xuntil2p30(s7)
    | node26(s7)
    | ~ until2p29(s7) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_50522,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_50525,plain,
    ( until2p29(s8)
    | ~ xuntil2p30(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_50522]) ).

tcf(c_50526,plain,
    ( until2p29(s80)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s80) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50623,plain,
    ( until2p29(s12)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s12) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50730,plain,
    ( until2p29(s76)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s76) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50834,plain,
    ( until2p29(s56)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s56) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50866,plain,
    ( until2p29(s72)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s72) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_50971,plain,
    ( until2p29(s52)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s52) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51002,plain,
    ( until2p29(s64)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s64) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51107,plain,
    ( until2p29(s48)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s48) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51145,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_51175,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_51271,plain,
    ( until2p29(s60)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s60) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51307,plain,
    ( until2p29(s40)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s40) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51491,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_51592,plain,
    ( until2p29(s16)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s16) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51694,plain,
    ( until2p29(s20)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s20) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_51806,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_51910,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_51927,plain,
    ( until2p29(s36)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s36) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_52029,plain,
    ( until2p29(s28)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s28) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_52142,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_52171,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_52191,plain,
    ( until2p29(s32)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s32) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_52293,plain,
    ( until2p29(s29)
    | ~ xuntil28(s99)
    | ~ last(s99)
    | ~ trans(s99,s29) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_52322,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_52293,c_52191,c_52171,c_52142,c_52029,c_51927,c_51910,c_51806,c_51694,c_51592,c_51491,c_51307,c_51271,c_51175,c_51145,c_51107,c_51002,c_50971,c_50866,c_50834,c_50730,c_50623,c_50526,c_50525,c_50521,c_50520,c_50516,c_50515,c_50510,c_50499,c_50317,c_50288,c_50271,c_50260,c_50239,c_50204,c_50165,c_50063,c_50046,c_50009,c_49978,c_49941,c_49844,c_49843,c_49839,c_49838,c_49834,c_49833,c_49829,c_49828,c_49824,c_49823,c_49819,c_49818,c_49814,c_49813,c_49809,c_49808,c_49804,c_49803,c_49799,c_49798,c_49794,c_49793,c_49789,c_49788,c_49784,c_49783,c_49779,c_49778,c_49774,c_49773,c_49769,c_49768,c_49764,c_49763,c_49759,c_49758,c_49754,c_49753,c_49749,c_49748,c_49744,c_49743,c_49739,c_49738,c_49734,c_49733,c_49729,c_49728,c_49724,c_49723,c_49719,c_49718,c_49714,c_49713,c_49709,c_49708,c_49704,c_49703,c_49699,c_49698,c_49694,c_49693,c_49689,c_49688,c_49684,c_49683,c_49679,c_49678,c_49674,c_49673,c_49669,c_49668,c_49664,c_49663,c_49659,c_49658,c_49654,c_49653,c_49649,c_49648,c_49644,c_49643,c_49639,c_49638,c_49634,c_49633,c_49629,c_49628,c_49624,c_49623,c_49619,c_49618,c_49614,c_49613,c_49609,c_49608,c_49604,c_49603,c_49599,c_49598,c_49594,c_49593,c_49589,c_49588,c_49584,c_49583,c_49579,c_49578,c_49574,c_49573,c_49569,c_49568,c_49564,c_49563,c_49559,c_49558,c_49554,c_49553,c_49549,c_49548,c_49537,c_49365,c_49364,c_49360,c_49359,c_49355,c_49354,c_49350,c_49349,c_49345,c_49344,c_49340,c_49339,c_49335,c_49334,c_49330,c_49329,c_49325,c_49324,c_49320,c_49319,c_49315,c_49314,c_49310,c_49309,c_49305,c_49304,c_49300,c_49299,c_49295,c_49294,c_49290,c_49289,c_49285,c_49284,c_49280,c_49279,c_49275,c_49274,c_49270,c_49269,c_49258,c_49161,c_49160,c_49157,c_49156,c_49151,c_49147,c_49146,c_49142,c_49141,c_49137,c_49136,c_49132,c_49131,c_49127,c_49126,c_49122,c_49121,c_49117,c_49116,c_49112,c_48831,c_48803,c_48777,c_48773,c_48759,c_48358,c_48324,c_48314,c_48286,c_48274,c_48243,c_48204,c_48174,c_48134,c_48003,c_47667,c_47641,c_47629,c_47628,c_47622,c_47618,c_47614,c_47609,c_47608,c_47603,c_47599,c_47594,c_47591,c_47586,c_47581,c_47580,c_47574,c_47569,c_47566,c_47563,c_47560,c_47553,c_47551,c_47547,c_47541,c_47540,c_47535,c_47532,c_47528,c_47522,c_47519,c_47514,c_47511,c_47505,c_47501,c_47499,c_47494,c_47490,c_47485,c_47483,c_47477,c_47474,c_47470,c_47465,c_47464,c_47458,c_47453,c_47451,c_47445,c_47444,c_47437,c_47436,c_47430,c_47428,c_47421,c_47418,c_47415,c_47411,c_47408,c_47404,c_47398,c_47393,c_47390,c_47386,c_47383,c_47378,c_47375,c_47369,c_47365,c_47362,c_47359,c_47355,c_47350,c_47345,c_47342,c_47337,c_47336,c_47330,c_47326,c_47323,c_47318,c_47314,c_47310,c_47308,c_47301,c_47300,c_47293,c_47290,c_47285,c_47283,c_47277,c_47274,c_47271,c_47267,c_47264,c_47259,c_47253,c_47250,c_47248,c_47236,c_47224,c_47151,c_47119,c_47013,c_47008,c_47007,c_47006,c_47000,c_46999,c_46993,c_46991,c_46990,c_46979,c_46976,c_46972,c_46959,c_46958,c_46957,c_46944,c_46943,c_46942,c_46932,c_46930,c_46929,c_46923,c_46921,c_46920,c_46909,c_46906,c_46902,c_46889,c_46888,c_46887,c_46875,c_46874,c_46873,c_46863,c_46861,c_46860,c_46854,c_46852,c_46851,c_46844,c_46843,c_46842,c_46836,c_46831,c_46823,c_46822,c_46821,c_46811,c_46809,c_46808,c_46802,c_46800,c_46799,c_46788,c_46785,c_46781,c_46768,c_46767,c_46766,c_46753,c_46752,c_46751,c_46745,c_46744,c_46737,c_46734,c_46732,c_46731,c_46718,c_46717,c_46716,c_46704,c_46703,c_46702,c_46692,c_46690,c_46689,c_46678,c_46644,c_46642,c_46641,c_46636,c_46629,c_46626,c_46624,c_46623,c_46617,c_46616,c_46603,c_46602,c_46601,c_46591,c_46589,c_46588,c_46574,c_46569,c_46562,c_46559,c_46557,c_46556,c_46550,c_46549,c_46537,c_46536,c_46535,c_46525,c_46523,c_46522,c_46508,c_46503,c_46496,c_46493,c_46491,c_46490,c_46484,c_46483,c_46471,c_46470,c_46469,c_46459,c_46457,c_46456,c_46450,c_46448,c_46447,c_46436,c_46424,c_46423,c_46422,c_46416,c_46411,c_46404,c_46403,c_46402,c_46392,c_46390,c_46389,c_46383,c_46382,c_46371,c_46359,c_46358,c_46357,c_46351,c_46346,c_46339,c_46338,c_46337,c_46318,c_46315,c_46311,c_46301,c_46299,c_46298,c_46292,c_46291,c_46278,c_46277,c_46276,c_46264,c_46263,c_46262,c_46252,c_46250,c_46249,c_46235,c_46228,c_46227,c_46220,c_46217,c_46215,c_46214,c_46191,c_46185,c_46182,c_46177,c_46170,c_46156,c_46150,c_46147,c_46142,c_46135,c_46121,c_46115,c_46112,c_46107,c_46100,c_46086,c_46080,c_46077,c_46072,c_46065,c_46051,c_46045,c_46042,c_46037,c_46030,c_46016,c_46010,c_46007,c_46002,c_45995,c_45981,c_45975,c_45972,c_45967,c_45960,c_45946,c_45940,c_45937,c_45932,c_45925,c_45911,c_45905,c_45902,c_45897,c_45890,c_45876,c_45870,c_45867,c_45862,c_45855,c_45841,c_45835,c_45832,c_45827,c_45820,c_45813,c_45812,c_45811,c_45805,c_45804,c_45798,c_45797,c_45791,c_45790,c_45784,c_45783,c_45777,c_45776,c_45770,c_45769,c_45763,c_45762,c_45756,c_45755,c_45749,c_45748,c_45742,c_45741,c_45735,c_45734,c_45728,c_45727,c_45721,c_45720,c_45714,c_45713,c_45707,c_45706,c_45700,c_45699,c_45693,c_45692,c_45686,c_45685,c_45679,c_45678,c_45672,c_45671,c_45665,c_45664,c_45658,c_45657,c_45651,c_45650,c_45644,c_45643,c_45637,c_45636,c_45630,c_45629,c_45623,c_45622,c_45616,c_45615,c_45609,c_45608,c_45602,c_45601,c_45595,c_45594,c_45588,c_45587,c_45581,c_45580,c_45574,c_45573,c_45567,c_45566,c_45560,c_45559,c_45553,c_45552,c_45546,c_45545,c_45539,c_45538,c_45532,c_45531,c_45525,c_45524,c_45518,c_45517,c_45511,c_45510,c_45504,c_45503,c_45497,c_45496,c_45474,c_45466,c_44939,c_44937,c_44933,c_44929,c_44510,c_44497,c_44395,c_44349,c_44185,c_44137,c_44109,c_44012,c_43911,c_43910,c_43498,c_43382,c_43280,c_43268,c_42889,c_41823,c_40780,c_40602,c_40600,c_40558,c_39723,c_39624,c_38905,c_38805,c_38508,c_38238,c_37807,c_37068,c_36930,c_36386,c_36337,c_36273,c_36266,c_36106,c_35575,c_35422,c_35425,c_35377,c_35311,c_35262,c_35238,c_35213,c_35216,c_35116,c_35059,c_35037,c_34969,c_34769,c_34542,c_32246,c_31893,c_31615,c_31581,c_31511,c_31384,c_31235,c_31107,c_30863,c_30627,c_30623,c_30524,c_30354,c_30319,c_30003,c_29947,c_29815,c_29795,c_29689,c_29512,c_29489,c_29390,c_29350,c_29348,c_29342,c_29341,c_29315,c_29290,c_29282,c_29195,c_29167,c_29033,c_28998,c_28954,c_28927,c_28918,c_28695,c_28692,c_28637,c_28609,c_28606,c_28543,c_28485,c_28467,c_28385,c_28359,c_28258,c_28207,c_28179,c_28166,c_28108,c_28087,c_28059,c_28051,c_28048,c_28036,c_27943,c_27893,c_27868,c_27863,c_27827,c_27816,c_27810,c_27800,c_27776,c_27733,c_27689,c_27632,c_27599,c_27595,c_27577,c_27575,c_27564,c_27554,c_27549,c_27531,c_27487,c_27439,c_27423,c_27402,c_27384,c_27360,c_27309,c_27260,c_27226,c_27212,c_27197,c_27123,c_27002,c_26953,c_26949,c_26917,c_26914,c_26891,c_26849,c_26846,c_26828,c_26816,c_26810,c_26799,c_26775,c_26766,c_26603,c_26558,c_26538,c_26500,c_26451,c_26410,c_26407,c_26394,c_26388,c_26307,c_26285,c_26187,c_26181,c_26132,c_26127,c_26097,c_26095,c_26087,c_26056,c_26038,c_25979,c_25950,c_25884,c_25878,c_25837,c_25813,c_25764,c_25631,c_25617,c_25592,c_25573,c_25503,c_25400,c_25372,c_25327,c_25254,c_25248,c_25224,c_25219,c_25202,c_25199,c_25177,c_25156,c_25100,c_25085,c_25078,c_25019,c_24984,c_24973,c_24957,c_24955,c_24951,c_24915,c_24911,c_24899,c_24849,c_24802,c_24799,c_24740,c_24679,c_24678,c_24654,c_24623,c_24588,c_24526,c_24453,c_24388,c_24360,c_24343,c_24314,c_24302,c_24282,c_24244,c_24229,c_24226,c_24183,c_24067,c_24066,c_24060,c_24057,c_23939,c_23929,c_23926,c_23922,c_23896,c_23883,c_23880,c_23824,c_23815,c_23811,c_23788,c_23763,c_23639,c_23582,c_23514,c_23275,c_23146,c_23142,c_23133,c_23068,c_23066,c_23062,c_23061,c_23060,c_23058,c_23056,c_23053,c_23051,c_23049,c_23046,c_23044,c_23043,c_23042,c_23040,c_23037,c_23034,c_23033,c_22980,c_22977,c_22937,c_22928,c_22873,c_22827,c_22803,c_22789,c_22760,c_22715,c_22638,c_22637,c_22420,c_21973,c_21909,c_21869,c_21867,c_21819,c_21784,c_21721,c_21599,c_21515,c_21507,c_21502,c_21489,c_21430,c_21425,c_21308,c_21280,c_21146,c_21135,c_21085,c_21078,c_21037,c_21011,c_20618,c_20613,c_20486,c_20480,c_20461,c_20438,c_20405,c_20365,c_20025,c_20015,c_19991,c_19989,c_19966,c_19941,c_19892,c_19876,c_19836,c_19831,c_19601,c_19596,c_19370,c_19368,c_19355,c_19324,c_19296,c_19294,c_19269,c_19266,c_19247,c_19240,c_19195,c_19199,c_19200,c_19175,c_19156,c_19087,c_19082,c_19024,c_19021,c_18981,c_18957,c_18889,c_18893,c_18862,c_18866,c_18847,c_18842,c_18817,c_18783,c_18731,c_18722,c_18717,c_18687,c_18669,c_18522,c_18514,c_18516,c_18517,c_18518,c_18474,c_18468,c_18442,c_18368,c_18348,c_18316,c_18303,c_18296,c_18253,c_18226,c_18211,c_18203,c_18117,c_18061,c_18033,c_18005,c_17977,c_17949,c_17921,c_17893,c_17865,c_17837,c_17809,c_17781,c_17753,c_17725,c_17697,c_17047,c_17046,c_17036,c_17002,c_16994,c_16992,c_16983,c_16968,c_16966,c_16964,c_16921,c_16913,c_16903,c_16899,c_16872,c_16824,c_16660,c_16656,c_16652,c_16485,c_16473,c_16466,c_16444,c_16430,c_16427,c_16338,c_16333,c_16290,c_16275,c_16268,c_16225,c_16120,c_16093,c_16058,c_16056,c_16026,c_15896,c_15824,c_15794,c_15658,c_15646,c_15633,c_15627,c_15536,c_15523,c_15506,c_15502,c_15459,c_15440,c_15126,c_15122,c_15117,c_15115,c_15113,c_15111,c_15010,c_14974,c_14885,c_14883,c_14879,c_14875,c_14871,c_14867,c_14863,c_14859,c_14855,c_14851,c_14849,c_14848,c_14846,c_14844,c_14843,c_14833,c_14816,c_14800,c_14752,c_14679,c_14609,c_14046,c_14038,c_13960,c_13933,c_13906,c_13690,c_13673,c_13615,c_13584,c_13580,c_13573,c_13557,c_13513,c_13472,c_13419,c_13412,c_13410,c_13408,c_13406,c_13404,c_13403,c_13394,c_13392,c_13390,c_13386,c_13374,c_13370,c_13368,c_13366,c_13362,c_13165,c_13164,c_13155,c_13151,c_13147,c_13143,c_13139,c_13135,c_13131,c_13127,c_13123,c_13119,c_13115,c_13111,c_13107,c_13103,c_13099,c_13095,c_13091,c_13087,c_13083,c_13079,c_13075,c_13071,c_13067,c_13063,c_12845,c_12843,c_12842,c_12841,c_12839,c_12838,c_12837,c_12836,c_12835,c_12834,c_12833,c_12832,c_12831,c_12829,c_12827,c_12825,c_12823,c_12821,c_12792,c_12790,c_12789,c_12787,c_12705,c_12692,c_12654,c_12616,c_12576,c_12502,c_12492,c_12421,c_12262,c_12171,c_12150,c_12148,c_12145,c_12142,c_12138,c_12137,c_12112,c_12110,c_12054,c_12024,c_12022,c_11993,c_11954,c_11897,c_11894,c_11852,c_11679,c_11675,c_11627,c_11623,c_11619,c_11615,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,c_2095,c_2093,c_2082,c_2079,c_2072,c_2063,c_2064,c_2059,c_2048,c_2045,c_2038,c_2029,c_2030,c_2027,c_2025,c_2017,c_2014,c_2011,c_2004,c_1995,c_1996,c_1993,c_1980,c_1977,c_1961,c_1962,c_1951,c_1950,c_1949,c_1946,c_1943,c_1936,c_1927,c_1928,c_1925,c_1915,c_1912,c_1909,c_1902,c_1893,c_1894,c_1891,c_1883,c_1881,c_1878,c_1875,c_1868,c_1859,c_1860,c_1857,c_1847,c_1844,c_1841,c_1834,c_1825,c_1826,c_1823,c_1807,c_1800,c_1791,c_1792,c_1778,c_1773,c_1766,c_1757,c_1758,c_1755,c_1744,c_1741,c_1739,c_1738,c_1737,c_1734,c_1731,c_1704,c_1698,c_1696,c_1695,c_1689,c_1685,c_1676,c_1666,c_1664,c_1663,c_1657,c_1653,c_1644,c_1634,c_1632,c_1631,c_1625,c_1621,c_1612,c_1602,c_1599,c_1593,c_1589,c_1580,c_1570,c_1567,c_1561,c_1557,c_1548,c_1538,c_1535,c_1529,c_1525,c_1516,c_1506,c_1503,c_1497,c_1493,c_1484,c_1474,c_1472,c_1471,c_1465,c_1461,c_1452,c_1442,c_1440,c_1439,c_1433,c_1429,c_1420,c_1410,c_1407,c_1401,c_1397,c_1388,c_1378,c_1376,c_1375,c_1369,c_1365,c_1356,c_1346,c_1344,c_1343,c_1337,c_1333,c_1324,c_1314,c_1312,c_1311,c_1305,c_1301,c_1292,c_1282,c_1279,c_1273,c_1269,c_1260,c_1250,c_1248,c_1247,c_1241,c_1237,c_1228,c_1218,c_1216,c_1215,c_1209,c_1205,c_1196,c_1186,c_1184,c_1183,c_1177,c_1173,c_1164,c_1154,c_1152,c_1151,c_1145,c_1141,c_1132,c_1122,c_1119,c_1113,c_1109,c_1100,c_1090,c_1088,c_1087,c_1081,c_1077,c_1068,c_1058,c_1056,c_1055,c_1049,c_1045,c_1036,c_1026,c_1024,c_1023,c_1017,c_1013,c_1004,c_994,c_992,c_991,c_985,c_981,c_972,c_962,c_959,c_953,c_949,c_940,c_930,c_928,c_926,c_922,c_920,c_912,c_900,c_892,c_894,c_888,c_889,c_890,c_885,c_886,c_887,c_883,c_884,c_879,c_880,c_881,c_876,c_877,c_878,c_873,c_874,c_875,c_871,c_872,c_867,c_868,c_869,c_864,c_865,c_866,c_861,c_862,c_863,c_859,c_860,c_856,c_857,c_853,c_854,c_849,c_850,c_851,c_847,c_848,c_843,c_844,c_845,c_841,c_842,c_837,c_838,c_839,c_835,c_836,c_831,c_832,c_833,c_829,c_830,c_825,c_826,c_827,c_823,c_824,c_819,c_820,c_821,c_817,c_818,c_813,c_814,c_815,c_811,c_812,c_807,c_808,c_809,c_804,c_805,c_806,c_801,c_802,c_803,c_799,c_800,c_795,c_796,c_797,c_792,c_793,c_794,c_789,c_790,c_791,c_787,c_788,c_783,c_784,c_785,c_781,c_782,c_777,c_778,c_779,c_775,c_776,c_771,c_772,c_773,c_768,c_769,c_770,c_765,c_766,c_767,c_763,c_764,c_759,c_760,c_761,c_756,c_757,c_758,c_753,c_754,c_755,c_751,c_752,c_747,c_748,c_749,c_744,c_745,c_746,c_741,c_742,c_743,c_739,c_740,c_735,c_736,c_737,c_733,c_734,c_729,c_730,c_731,c_727,c_728,c_723,c_724,c_725,c_720,c_721,c_722,c_717,c_718,c_719,c_715,c_716,c_711,c_712,c_713,c_708,c_709,c_710,c_705,c_706,c_707,c_703,c_704,c_699,c_700,c_701,c_696,c_697,c_698,c_693,c_694,c_695,c_691,c_692,c_687,c_688,c_689,c_684,c_685,c_686,c_681,c_682,c_683,c_679,c_680,c_675,c_676,c_677,c_673,c_674,c_669,c_670,c_671,c_667,c_668,c_663,c_664,c_665,c_660,c_661,c_662,c_657,c_658,c_659,c_655,c_656,c_652,c_653,c_648,c_649,c_650,c_645,c_646,c_647,c_643,c_644,c_639,c_640,c_641,c_636,c_637,c_638,c_633,c_634,c_635,c_631,c_632,c_627,c_628,c_629,c_624,c_625,c_626,c_621,c_622,c_623,c_619,c_620,c_616,c_617,c_613,c_614,c_609,c_610,c_611,c_607,c_608,c_604,c_605,c_600,c_601,c_602,c_597,c_598,c_599,c_594,c_595,c_596,c_582,c_586,c_587,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_442,c_441,c_440,c_439,c_425,c_424,c_421,c_410,c_409,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  : SWV422-1.100 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Thu Sep 24 19:45:38 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41  Running EPR theorem proving
% 0.11/0.41  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
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 27.44/4.69  % SZS status Started for theBenchmark.p
% 27.44/4.69  % SZS status Unsatisfiable for theBenchmark.p
% 27.44/4.69  
% 27.44/4.69  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.44/4.69  
% 27.44/4.69  % ------  iProver source info
% 27.44/4.69  
% 27.44/4.69  % git: date: 2026-07-19 20:42:38 +0200
% 27.44/4.69  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.44/4.69  % git: non_committed_changes: false
% 27.44/4.69  
% 27.44/4.69  % ------ Parsing...% successful
% 27.44/4.69  
% 27.44/4.69  
% 27.44/4.69  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 27.44/4.69  % ------ Proving...
% 27.44/4.69  % ------ Problem Properties 
% 27.44/4.69  
% 27.44/4.69  % 
% 27.44/4.69  % clauses                               180
% 27.44/4.69  % conjectures                           13
% 27.44/4.69  % EPR                                   180
% 27.44/4.69  % Horn                                  160
% 27.44/4.69  % unary                                 104
% 27.44/4.69  % binary                                42
% 27.44/4.69  % lits                                  445
% 27.44/4.69  % lits eq                               0
% 27.44/4.69  % fd_pure                               0
% 27.44/4.69  % fd_pseudo                             0
% 27.44/4.69  % fd_cond                               0
% 27.44/4.69  % fd_pseudo_cond                        0
% 27.44/4.69  % AC symbols                            0
% 27.44/4.69  
% 27.44/4.69  % ------ Input Options Time Limit: Unbounded
% 27.44/4.69  
% 27.44/4.69  
% 27.44/4.69  % ------ 
% 27.44/4.69  % Current options:
% 27.44/4.69  % ------ 
% 27.44/4.69  
% 27.44/4.69  
% 27.44/4.69  % 
% 27.44/4.69  
% 27.44/4.69  % ------ Proving...
% 27.44/4.69  % 
% 27.44/4.69  
% 27.44/4.69  % SZS status Unsatisfiable for theBenchmark.p
% 27.44/4.69  
% 27.44/4.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.00/4.74  
% 32.00/4.74  
%------------------------------------------------------------------------------