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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV422-1.105 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.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 03:20:40 PM UTC 2026

% Result   : Unsatisfiable 31.42s 4.63s
% Output   : CNFRefutation 32.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  177
% Syntax   : Number of formulae    : 3369 ( 219 unt;   0 def)
%            Number of atoms       : 10192 (   0 equ)
%            Maximal formula atoms :  106 (   3 avg)
%            Number of connectives : 11753 (4930   ~;6823   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   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    :  113 ( 113 usr; 113 con; 0-0 aty)
%            Number of variables   :  720 (   0 sgn 720   !;   0   ?; 621   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    succ(s0,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound1) ).

fof(f2,axiom,
    succ(s1,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound2) ).

fof(f3,axiom,
    succ(s2,s3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound3) ).

fof(f4,axiom,
    succ(s3,s4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound4) ).

fof(f5,axiom,
    succ(s4,s5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound5) ).

fof(f6,axiom,
    succ(s5,s6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound6) ).

fof(f7,axiom,
    succ(s6,s7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound7) ).

fof(f8,axiom,
    succ(s7,s8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound8) ).

fof(f9,axiom,
    succ(s8,s9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound9) ).

fof(f10,axiom,
    succ(s9,s10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound10) ).

fof(f11,axiom,
    succ(s10,s11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound11) ).

fof(f12,axiom,
    succ(s11,s12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound12) ).

fof(f13,axiom,
    succ(s12,s13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound13) ).

fof(f14,axiom,
    succ(s13,s14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound14) ).

fof(f15,axiom,
    succ(s14,s15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound15) ).

fof(f16,axiom,
    succ(s15,s16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound16) ).

fof(f17,axiom,
    succ(s16,s17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound17) ).

fof(f18,axiom,
    succ(s17,s18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound18) ).

fof(f19,axiom,
    succ(s18,s19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound19) ).

fof(f20,axiom,
    succ(s19,s20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound20) ).

fof(f21,axiom,
    succ(s20,s21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound21) ).

fof(f22,axiom,
    succ(s21,s22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound22) ).

fof(f23,axiom,
    succ(s22,s23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound23) ).

fof(f24,axiom,
    succ(s23,s24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound24) ).

fof(f25,axiom,
    succ(s24,s25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound25) ).

fof(f26,axiom,
    succ(s25,s26),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound26) ).

fof(f27,axiom,
    succ(s26,s27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound27) ).

fof(f28,axiom,
    succ(s27,s28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound28) ).

fof(f29,axiom,
    succ(s28,s29),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound29) ).

fof(f30,axiom,
    succ(s29,s30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound30) ).

fof(f31,axiom,
    succ(s30,s31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound31) ).

fof(f32,axiom,
    succ(s31,s32),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound32) ).

fof(f33,axiom,
    succ(s32,s33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound33) ).

fof(f34,axiom,
    succ(s33,s34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound34) ).

fof(f35,axiom,
    succ(s34,s35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound35) ).

fof(f36,axiom,
    succ(s35,s36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound36) ).

fof(f37,axiom,
    succ(s36,s37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound37) ).

fof(f38,axiom,
    succ(s37,s38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound38) ).

fof(f39,axiom,
    succ(s38,s39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound39) ).

fof(f40,axiom,
    succ(s39,s40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound40) ).

fof(f41,axiom,
    succ(s40,s41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound41) ).

fof(f42,axiom,
    succ(s41,s42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound42) ).

fof(f43,axiom,
    succ(s42,s43),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound43) ).

fof(f44,axiom,
    succ(s43,s44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound44) ).

fof(f45,axiom,
    succ(s44,s45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound45) ).

fof(f46,axiom,
    succ(s45,s46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound46) ).

fof(f47,axiom,
    succ(s46,s47),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound47) ).

fof(f48,axiom,
    succ(s47,s48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound48) ).

fof(f49,axiom,
    succ(s48,s49),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound49) ).

fof(f50,axiom,
    succ(s49,s50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound50) ).

fof(f51,axiom,
    succ(s50,s51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound51) ).

fof(f52,axiom,
    succ(s51,s52),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound52) ).

fof(f53,axiom,
    succ(s52,s53),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound53) ).

fof(f54,axiom,
    succ(s53,s54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound54) ).

fof(f55,axiom,
    succ(s54,s55),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound55) ).

fof(f56,axiom,
    succ(s55,s56),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound56) ).

fof(f57,axiom,
    succ(s56,s57),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound57) ).

fof(f58,axiom,
    succ(s57,s58),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound58) ).

fof(f59,axiom,
    succ(s58,s59),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound59) ).

fof(f60,axiom,
    succ(s59,s60),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound60) ).

fof(f61,axiom,
    succ(s60,s61),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound61) ).

fof(f62,axiom,
    succ(s61,s62),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound62) ).

fof(f63,axiom,
    succ(s62,s63),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound63) ).

fof(f64,axiom,
    succ(s63,s64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound64) ).

fof(f65,axiom,
    succ(s64,s65),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound65) ).

fof(f66,axiom,
    succ(s65,s66),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound66) ).

fof(f67,axiom,
    succ(s66,s67),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound67) ).

fof(f68,axiom,
    succ(s67,s68),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound68) ).

fof(f69,axiom,
    succ(s68,s69),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound69) ).

fof(f70,axiom,
    succ(s69,s70),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound70) ).

fof(f71,axiom,
    succ(s70,s71),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound71) ).

fof(f72,axiom,
    succ(s71,s72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound72) ).

fof(f73,axiom,
    succ(s72,s73),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound73) ).

fof(f74,axiom,
    succ(s73,s74),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound74) ).

fof(f75,axiom,
    succ(s74,s75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound75) ).

fof(f76,axiom,
    succ(s75,s76),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound76) ).

fof(f77,axiom,
    succ(s76,s77),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound77) ).

fof(f78,axiom,
    succ(s77,s78),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound78) ).

fof(f79,axiom,
    succ(s78,s79),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound79) ).

fof(f80,axiom,
    succ(s79,s80),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound80) ).

fof(f81,axiom,
    succ(s80,s81),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound81) ).

fof(f82,axiom,
    succ(s81,s82),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound82) ).

fof(f83,axiom,
    succ(s82,s83),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound83) ).

fof(f84,axiom,
    succ(s83,s84),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound84) ).

fof(f85,axiom,
    succ(s84,s85),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound85) ).

fof(f86,axiom,
    succ(s85,s86),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound86) ).

fof(f87,axiom,
    succ(s86,s87),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound87) ).

fof(f88,axiom,
    succ(s87,s88),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound88) ).

fof(f89,axiom,
    succ(s88,s89),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound89) ).

fof(f90,axiom,
    succ(s89,s90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound90) ).

fof(f91,axiom,
    succ(s90,s91),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound91) ).

fof(f92,axiom,
    succ(s91,s92),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound92) ).

fof(f93,axiom,
    succ(s92,s93),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound93) ).

fof(f94,axiom,
    succ(s93,s94),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound94) ).

fof(f95,axiom,
    succ(s94,s95),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound95) ).

fof(f96,axiom,
    succ(s95,s96),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound96) ).

fof(f97,axiom,
    succ(s96,s97),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound97) ).

fof(f98,axiom,
    succ(s97,s98),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound98) ).

fof(f99,axiom,
    succ(s98,s99),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound99) ).

fof(f100,axiom,
    succ(s99,s100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound100) ).

fof(f101,axiom,
    succ(s100,s101),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound101) ).

fof(f102,axiom,
    succ(s101,s102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound102) ).

fof(f103,axiom,
    succ(s102,s103),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound103) ).

fof(f104,axiom,
    succ(s103,s104),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound104) ).

fof(f105,axiom,
    last(s104),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound105) ).

fof(f106,axiom,
    ! [X0,X1] :
      ( trans(X0,X1)
      | ~ succ(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound106) ).

fof(f107,axiom,
    ( trans(s104,s104)
    | trans(s104,s103)
    | trans(s104,s102)
    | trans(s104,s101)
    | trans(s104,s100)
    | trans(s104,s99)
    | trans(s104,s98)
    | trans(s104,s97)
    | trans(s104,s96)
    | trans(s104,s95)
    | trans(s104,s94)
    | trans(s104,s93)
    | trans(s104,s92)
    | trans(s104,s91)
    | trans(s104,s90)
    | trans(s104,s89)
    | trans(s104,s88)
    | trans(s104,s87)
    | trans(s104,s86)
    | trans(s104,s85)
    | trans(s104,s84)
    | trans(s104,s83)
    | trans(s104,s82)
    | trans(s104,s81)
    | trans(s104,s80)
    | trans(s104,s79)
    | trans(s104,s78)
    | trans(s104,s77)
    | trans(s104,s76)
    | trans(s104,s75)
    | trans(s104,s74)
    | trans(s104,s73)
    | trans(s104,s72)
    | trans(s104,s71)
    | trans(s104,s70)
    | trans(s104,s69)
    | trans(s104,s68)
    | trans(s104,s67)
    | trans(s104,s66)
    | trans(s104,s65)
    | trans(s104,s64)
    | trans(s104,s63)
    | trans(s104,s62)
    | trans(s104,s61)
    | trans(s104,s60)
    | trans(s104,s59)
    | trans(s104,s58)
    | trans(s104,s57)
    | trans(s104,s56)
    | trans(s104,s55)
    | trans(s104,s54)
    | trans(s104,s53)
    | trans(s104,s52)
    | trans(s104,s51)
    | trans(s104,s50)
    | trans(s104,s49)
    | trans(s104,s48)
    | trans(s104,s47)
    | trans(s104,s46)
    | trans(s104,s45)
    | trans(s104,s44)
    | trans(s104,s43)
    | trans(s104,s42)
    | trans(s104,s41)
    | trans(s104,s40)
    | trans(s104,s39)
    | trans(s104,s38)
    | trans(s104,s37)
    | trans(s104,s36)
    | trans(s104,s35)
    | trans(s104,s34)
    | trans(s104,s33)
    | trans(s104,s32)
    | trans(s104,s31)
    | trans(s104,s30)
    | trans(s104,s29)
    | trans(s104,s28)
    | trans(s104,s27)
    | trans(s104,s26)
    | trans(s104,s25)
    | trans(s104,s24)
    | trans(s104,s23)
    | trans(s104,s22)
    | trans(s104,s21)
    | trans(s104,s20)
    | trans(s104,s19)
    | trans(s104,s18)
    | trans(s104,s17)
    | trans(s104,s16)
    | trans(s104,s15)
    | trans(s104,s14)
    | trans(s104,s13)
    | trans(s104,s12)
    | trans(s104,s11)
    | trans(s104,s10)
    | trans(s104,s9)
    | trans(s104,s8)
    | trans(s104,s7)
    | trans(s104,s6)
    | trans(s104,s5)
    | trans(s104,s4)
    | trans(s104,s3)
    | trans(s104,s2)
    | trans(s104,s1)
    | trans(s104,s0)
    | ~ loop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound107) ).

fof(f109,axiom,
    ! [X0] :
      ( ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_2) ).

fof(f110,axiom,
    ! [X0] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_3) ).

fof(f111,axiom,
    ! [X0] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_4) ).

fof(f113,axiom,
    ! [X0] :
      ( ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_6) ).

fof(f114,axiom,
    ! [X0] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_7) ).

fof(f115,axiom,
    ! [X0] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_8) ).

fof(f117,axiom,
    ! [X0] :
      ( ~ m_main_v_turn(X0,c_2)
      | ~ m_main_v_turn(X0,c_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_10) ).

fof(f118,axiom,
    m_main_v_state1(s0,c_n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_11) ).

fof(f119,axiom,
    m_main_v_state2(s0,c_n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_12) ).

fof(f120,axiom,
    m_main_v_turn(s0,c_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_13) ).

fof(f121,axiom,
    ! [X0] :
      ( ~ node1(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_14) ).

fof(f122,axiom,
    ! [X0] :
      ( ~ node1(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_15) ).

fof(f123,axiom,
    ! [X0] :
      ( ~ node2(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_16) ).

fof(f124,axiom,
    ! [X0] :
      ( ~ node2(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_17) ).

fof(f125,axiom,
    ! [X0] :
      ( ~ node3(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_18) ).

fof(f126,axiom,
    ! [X0] :
      ( ~ node3(X0)
      | m_main_v_state2(X0,c_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_19) ).

fof(f127,axiom,
    ! [X0] :
      ( ~ node4(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_20) ).

fof(f128,axiom,
    ! [X0] :
      ( ~ node4(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_21) ).

fof(f129,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_22) ).

fof(f130,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_23) ).

fof(f131,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_turn(X0,c_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_24) ).

fof(f132,axiom,
    ! [X2,X0,X1] :
      ( ~ node6(X2,X0)
      | ~ m_main_v_state1(X2,X1)
      | m_main_v_state1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_25) ).

fof(f133,axiom,
    ! [X2,X0,X1] :
      ( ~ node6(X2,X0)
      | m_main_v_state1(X2,X1)
      | ~ m_main_v_state1(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_26) ).

fof(f134,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/sandbox2/benchmark/theBenchmark.p',m_main_27) ).

fof(f135,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/sandbox2/benchmark/theBenchmark.p',m_main_28) ).

fof(f137,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/sandbox2/benchmark/theBenchmark.p',m_main_30) ).

fof(f138,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/sandbox2/benchmark/theBenchmark.p',m_main_31) ).

fof(f139,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/sandbox2/benchmark/theBenchmark.p',m_main_32) ).

fof(f140,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/sandbox2/benchmark/theBenchmark.p',m_main_33) ).

fof(f141,axiom,
    ! [X0,X1] :
      ( node7(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_34) ).

fof(f142,axiom,
    ! [X0] :
      ( ~ node8(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_35) ).

fof(f143,axiom,
    ! [X0] :
      ( ~ node8(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_36) ).

fof(f144,axiom,
    ! [X0] :
      ( ~ node9(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_37) ).

fof(f145,axiom,
    ! [X0] :
      ( ~ node9(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_38) ).

fof(f146,axiom,
    ! [X0] :
      ( ~ node10(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_39) ).

fof(f147,axiom,
    ! [X0] :
      ( ~ node10(X0)
      | m_main_v_state1(X0,c_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_40) ).

fof(f148,axiom,
    ! [X0] :
      ( ~ node11(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_41) ).

fof(f149,axiom,
    ! [X0] :
      ( ~ node11(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_42) ).

fof(f150,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_43) ).

fof(f151,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_44) ).

fof(f152,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_turn(X0,c_2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_45) ).

fof(f153,axiom,
    ! [X2,X0,X1] :
      ( ~ node13(X2,X0)
      | ~ m_main_v_state2(X2,X1)
      | m_main_v_state2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_46) ).

fof(f154,axiom,
    ! [X2,X0,X1] :
      ( ~ node13(X2,X0)
      | m_main_v_state2(X2,X1)
      | ~ m_main_v_state2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_47) ).

fof(f155,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/sandbox2/benchmark/theBenchmark.p',m_main_48) ).

fof(f156,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/sandbox2/benchmark/theBenchmark.p',m_main_49) ).

fof(f158,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/sandbox2/benchmark/theBenchmark.p',m_main_51) ).

fof(f160,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/sandbox2/benchmark/theBenchmark.p',m_main_53) ).

fof(f161,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/sandbox2/benchmark/theBenchmark.p',m_main_54) ).

fof(f162,axiom,
    ! [X0,X1] :
      ( node14(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_55) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ node15(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_56) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ node15(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_57) ).

fof(f165,axiom,
    ! [X0] :
      ( ~ node16(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_58) ).

fof(f166,axiom,
    ! [X0] :
      ( ~ node16(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_59) ).

fof(f167,axiom,
    ! [X2,X0,X1] :
      ( ~ node17(X2,X0)
      | ~ m_main_v_turn(X2,X1)
      | m_main_v_turn(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_60) ).

fof(f169,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/sandbox2/benchmark/theBenchmark.p',m_main_62) ).

fof(f170,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/sandbox2/benchmark/theBenchmark.p',m_main_63) ).

fof(f171,axiom,
    ! [X0,X1] :
      ( ~ node18(X0,X1)
      | node17(X0,X1)
      | node16(X0)
      | node15(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_64) ).

fof(f172,axiom,
    ! [X0,X1] :
      ( node18(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_65) ).

fof(f173,negated_conjecture,
    ! [X0] :
      ( ~ always25(X0)
      | ~ m_main_v_state2(X0,c_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty14) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( ~ always25(X1)
      | ~ trans(X1,X0)
      | always25(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty15) ).

fof(f176,negated_conjecture,
    ! [X0] :
      ( ~ node26(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty17) ).

fof(f177,negated_conjecture,
    ! [X0] :
      ( ~ node26(X0)
      | always25(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty18) ).

fof(f178,negated_conjecture,
    ! [X0] :
      ( ~ until27(X0)
      | xuntil28(X0)
      | node26(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty19) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil28(X1)
      | ~ succ(X1,X0)
      | until27(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty20) ).

fof(f180,negated_conjecture,
    ! [X0] :
      ( ~ xuntil28(X0)
      | ~ last(X0)
      | loop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty21) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil28(X1)
      | ~ last(X1)
      | ~ trans(X1,X0)
      | until2p29(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty22) ).

fof(f182,negated_conjecture,
    ! [X0] :
      ( ~ until2p29(X0)
      | xuntil2p30(X0)
      | node26(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty23) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil2p30(X1)
      | ~ succ(X1,X0)
      | until2p29(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty24) ).

fof(f184,negated_conjecture,
    ! [X0] :
      ( ~ xuntil2p30(X0)
      | ~ last(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty25) ).

fof(f185,negated_conjecture,
    until27(s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty26) ).

tcf(c_234,plain,
    succ(s0,s1),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_235,plain,
    succ(s1,s2),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_236,plain,
    succ(s2,s3),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_237,plain,
    succ(s3,s4),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_238,plain,
    succ(s4,s5),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_239,plain,
    succ(s5,s6),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_240,plain,
    succ(s6,s7),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_241,plain,
    succ(s7,s8),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_242,plain,
    succ(s8,s9),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_243,plain,
    succ(s9,s10),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_244,plain,
    succ(s10,s11),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_245,plain,
    succ(s11,s12),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_246,plain,
    succ(s12,s13),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_247,plain,
    succ(s13,s14),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_248,plain,
    succ(s14,s15),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_249,plain,
    succ(s15,s16),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_250,plain,
    succ(s16,s17),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_251,plain,
    succ(s17,s18),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_252,plain,
    succ(s18,s19),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_253,plain,
    succ(s19,s20),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_254,plain,
    succ(s20,s21),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_255,plain,
    succ(s21,s22),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_256,plain,
    succ(s22,s23),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_257,plain,
    succ(s23,s24),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_258,plain,
    succ(s24,s25),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_259,plain,
    succ(s25,s26),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_260,plain,
    succ(s26,s27),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_261,plain,
    succ(s27,s28),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_262,plain,
    succ(s28,s29),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_263,plain,
    succ(s29,s30),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_264,plain,
    succ(s30,s31),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_265,plain,
    succ(s31,s32),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_266,plain,
    succ(s32,s33),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_267,plain,
    succ(s33,s34),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_268,plain,
    succ(s34,s35),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_269,plain,
    succ(s35,s36),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_270,plain,
    succ(s36,s37),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_271,plain,
    succ(s37,s38),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_272,plain,
    succ(s38,s39),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_273,plain,
    succ(s39,s40),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_274,plain,
    succ(s40,s41),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_275,plain,
    succ(s41,s42),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_276,plain,
    succ(s42,s43),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_277,plain,
    succ(s43,s44),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_278,plain,
    succ(s44,s45),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_279,plain,
    succ(s45,s46),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_280,plain,
    succ(s46,s47),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_281,plain,
    succ(s47,s48),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_282,plain,
    succ(s48,s49),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_283,plain,
    succ(s49,s50),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_284,plain,
    succ(s50,s51),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_285,plain,
    succ(s51,s52),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_286,plain,
    succ(s52,s53),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_287,plain,
    succ(s53,s54),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_288,plain,
    succ(s54,s55),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_289,plain,
    succ(s55,s56),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_290,plain,
    succ(s56,s57),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_291,plain,
    succ(s57,s58),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_292,plain,
    succ(s58,s59),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_293,plain,
    succ(s59,s60),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_294,plain,
    succ(s60,s61),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_295,plain,
    succ(s61,s62),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_296,plain,
    succ(s62,s63),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_297,plain,
    succ(s63,s64),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_298,plain,
    succ(s64,s65),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_299,plain,
    succ(s65,s66),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_300,plain,
    succ(s66,s67),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_301,plain,
    succ(s67,s68),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_302,plain,
    succ(s68,s69),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_303,plain,
    succ(s69,s70),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_304,plain,
    succ(s70,s71),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_305,plain,
    succ(s71,s72),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_306,plain,
    succ(s72,s73),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_307,plain,
    succ(s73,s74),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_308,plain,
    succ(s74,s75),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_309,plain,
    succ(s75,s76),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_310,plain,
    succ(s76,s77),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_311,plain,
    succ(s77,s78),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_312,plain,
    succ(s78,s79),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_313,plain,
    succ(s79,s80),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_314,plain,
    succ(s80,s81),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_315,plain,
    succ(s81,s82),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_316,plain,
    succ(s82,s83),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_317,plain,
    succ(s83,s84),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_318,plain,
    succ(s84,s85),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_319,plain,
    succ(s85,s86),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_320,plain,
    succ(s86,s87),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_321,plain,
    succ(s87,s88),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_322,plain,
    succ(s88,s89),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_323,plain,
    succ(s89,s90),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_324,plain,
    succ(s90,s91),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_325,plain,
    succ(s91,s92),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_326,plain,
    succ(s92,s93),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_327,plain,
    succ(s93,s94),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_328,plain,
    succ(s94,s95),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_329,plain,
    succ(s95,s96),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_330,plain,
    succ(s96,s97),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_331,plain,
    succ(s97,s98),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_332,plain,
    succ(s98,s99),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_333,plain,
    succ(s99,s100),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_334,plain,
    succ(s100,s101),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_335,plain,
    succ(s101,s102),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_336,plain,
    succ(s102,s103),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_337,plain,
    succ(s103,s104),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_338,plain,
    last(s104),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_339,plain,
    ! [X0: $i,X1: $i] :
      ( trans(X0,X1)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_340,plain,
    ( trans(s104,s104)
    | trans(s104,s103)
    | trans(s104,s102)
    | trans(s104,s101)
    | trans(s104,s100)
    | trans(s104,s99)
    | trans(s104,s98)
    | trans(s104,s97)
    | trans(s104,s96)
    | trans(s104,s95)
    | trans(s104,s94)
    | trans(s104,s93)
    | trans(s104,s92)
    | trans(s104,s91)
    | trans(s104,s90)
    | trans(s104,s89)
    | trans(s104,s88)
    | trans(s104,s87)
    | trans(s104,s86)
    | trans(s104,s85)
    | trans(s104,s84)
    | trans(s104,s83)
    | trans(s104,s82)
    | trans(s104,s81)
    | trans(s104,s80)
    | trans(s104,s79)
    | trans(s104,s78)
    | trans(s104,s77)
    | trans(s104,s76)
    | trans(s104,s75)
    | trans(s104,s74)
    | trans(s104,s73)
    | trans(s104,s72)
    | trans(s104,s71)
    | trans(s104,s70)
    | trans(s104,s69)
    | trans(s104,s68)
    | trans(s104,s67)
    | trans(s104,s66)
    | trans(s104,s65)
    | trans(s104,s64)
    | trans(s104,s63)
    | trans(s104,s62)
    | trans(s104,s61)
    | trans(s104,s60)
    | trans(s104,s59)
    | trans(s104,s58)
    | trans(s104,s57)
    | trans(s104,s56)
    | trans(s104,s55)
    | trans(s104,s54)
    | trans(s104,s53)
    | trans(s104,s52)
    | trans(s104,s51)
    | trans(s104,s50)
    | trans(s104,s49)
    | trans(s104,s48)
    | trans(s104,s47)
    | trans(s104,s46)
    | trans(s104,s45)
    | trans(s104,s44)
    | trans(s104,s43)
    | trans(s104,s42)
    | trans(s104,s41)
    | trans(s104,s40)
    | trans(s104,s39)
    | trans(s104,s38)
    | trans(s104,s37)
    | trans(s104,s36)
    | trans(s104,s35)
    | trans(s104,s34)
    | trans(s104,s33)
    | trans(s104,s32)
    | trans(s104,s31)
    | trans(s104,s30)
    | trans(s104,s29)
    | trans(s104,s28)
    | trans(s104,s27)
    | trans(s104,s26)
    | trans(s104,s25)
    | trans(s104,s24)
    | trans(s104,s23)
    | trans(s104,s22)
    | trans(s104,s21)
    | trans(s104,s20)
    | trans(s104,s19)
    | trans(s104,s18)
    | trans(s104,s17)
    | trans(s104,s16)
    | trans(s104,s15)
    | trans(s104,s14)
    | trans(s104,s13)
    | trans(s104,s12)
    | trans(s104,s11)
    | trans(s104,s10)
    | trans(s104,s9)
    | trans(s104,s8)
    | trans(s104,s7)
    | trans(s104,s6)
    | trans(s104,s5)
    | trans(s104,s4)
    | trans(s104,s3)
    | trans(s104,s2)
    | trans(s104,s1)
    | trans(s104,s0)
    | ~ loop ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_342,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_343,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_344,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_346,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_347,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_348,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_t2) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_350,plain,
    ! [X0: $i] :
      ( ~ m_main_v_turn(X0,c_2)
      | ~ m_main_v_turn(X0,c_1) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_351,plain,
    m_main_v_state1(s0,c_n1),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_352,plain,
    m_main_v_state2(s0,c_n2),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_353,plain,
    m_main_v_turn(s0,c_1),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_354,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node1(X0) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_355,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node1(X0) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_356,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node2(X0) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_357,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node2(X0) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_358,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node3(X0) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_359,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_c2)
      | ~ node3(X0) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_360,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node4(X0) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node4(X0) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_362,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_363,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_364,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_1)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_365,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,[],[f132]) ).

tcf(c_366,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,[],[f133]) ).

tcf(c_367,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,[],[f134]) ).

tcf(c_368,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,[],[f135]) ).

tcf(c_370,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,[],[f137]) ).

tcf(c_371,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,[],[f138]) ).

tcf(c_372,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,[],[f139]) ).

tcf(c_373,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,[],[f140]) ).

tcf(c_374,plain,
    ! [X0: $i,X1: $i] :
      ( node7(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_375,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node8(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_376,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node8(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_377,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node9(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_378,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node9(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_379,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node10(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_380,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_c1)
      | ~ node10(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_381,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node11(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node11(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_384,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_385,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_2)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_386,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,[],[f153]) ).

tcf(c_387,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,[],[f154]) ).

tcf(c_388,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,[],[f155]) ).

tcf(c_389,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,[],[f156]) ).

tcf(c_391,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,[],[f158]) ).

tcf(c_393,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,[],[f160]) ).

tcf(c_394,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,[],[f161]) ).

tcf(c_395,plain,
    ! [X0: $i,X1: $i] :
      ( node14(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_396,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node15(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_397,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node15(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_398,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node16(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_399,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node16(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_400,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,[],[f167]) ).

tcf(c_402,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,[],[f169]) ).

tcf(c_403,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,[],[f170]) ).

tcf(c_404,plain,
    ! [X0: $i,X1: $i] :
      ( node16(X0)
      | node15(X0)
      | node17(X0,X1)
      | ~ node18(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_405,plain,
    ! [X0: $i,X1: $i] :
      ( node18(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i] :
      ( ~ always25(X0)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( always25(X1)
      | ~ always25(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node26(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( always25(X0)
      | ~ node26(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( xuntil28(X0)
      | node26(X0)
      | ~ until27(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until27(X1)
      | ~ xuntil28(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( loop
      | ~ xuntil28(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p29(X1)
      | ~ xuntil28(X0)
      | ~ last(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i] :
      ( xuntil2p30(X0)
      | node26(X0)
      | ~ until2p29(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p29(X1)
      | ~ xuntil2p30(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( ~ xuntil2p30(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_418,negated_conjecture,
    until27(s0),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_419,plain,
    ( always25(s104)
    | ~ node26(s104) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_420,plain,
    ( ~ xuntil2p30(s104)
    | ~ last(s104) ),
    inference(instantiation,[status(thm)],[c_417]) ).

tcf(c_423,plain,
    ( m_main_v_state2(s104,c_n2)
    | ~ node16(s104) ),
    inference(instantiation,[status(thm)],[c_398]) ).

tcf(c_425,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node15(s104) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_428,plain,
    ( m_main_v_state2(s104,c_t2)
    | ~ node12(s104) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_429,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node11(s104) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_431,plain,
    ( m_main_v_state1(s104,c_c1)
    | ~ node10(s104) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_433,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node9(s104) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_436,plain,
    ( m_main_v_state2(s104,c_n2)
    | ~ node8(s104) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_437,plain,
    ( m_main_v_turn(s104,c_1)
    | ~ node5(s104) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_440,plain,
    ( m_main_v_state2(s104,c_n2)
    | ~ node4(s104) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_443,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node3(s104) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_445,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node2(s104) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_447,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node1(s104) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_449,plain,
    ( xuntil2p30(s104)
    | node26(s104)
    | ~ until2p29(s104) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_450,plain,
    ( loop
    | ~ xuntil28(s104)
    | ~ last(s104) ),
    inference(instantiation,[status(thm)],[c_413]) ).

tcf(c_451,plain,
    ( xuntil28(s104)
    | node26(s104)
    | ~ until27(s104) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_453,plain,
    ( ~ always25(s104)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_455,plain,
    ( node14(s104,s104)
    | ~ trans(s104,s104) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_458,plain,
    ( ~ m_main_v_turn(s104,c_2)
    | ~ m_main_v_turn(s104,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_459,plain,
    ( ~ m_main_v_state2(s104,c_c2)
    | ~ m_main_v_state2(s104,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_460,plain,
    ( ~ m_main_v_state2(s104,c_c2)
    | ~ m_main_v_state2(s104,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_462,plain,
    ( ~ m_main_v_state1(s104,c_c1)
    | ~ m_main_v_state1(s104,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_464,plain,
    ( ~ m_main_v_state1(s104,c_t1)
    | ~ m_main_v_state1(s104,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_481,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s104,c_n2)
    | ~ node14(s104,s104)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_487,plain,
    ( xuntil28(s0)
    | node26(s0)
    | ~ until27(s0) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_488,plain,
    ( ~ m_main_v_state2(s0,c_t2)
    | ~ m_main_v_state2(s0,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_489,plain,
    ( trans(s0,s1)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_490,plain,
    ( trans(s1,s2)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_491,plain,
    ( trans(s2,s3)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_492,plain,
    ( trans(s3,s4)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_493,plain,
    ( trans(s4,s5)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_494,plain,
    ( trans(s5,s6)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_495,plain,
    ( trans(s6,s7)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_496,plain,
    ( trans(s7,s8)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_497,plain,
    ( trans(s8,s9)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_498,plain,
    ( trans(s9,s10)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_499,plain,
    ( trans(s10,s11)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_500,plain,
    ( trans(s11,s12)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_501,plain,
    ( trans(s12,s13)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_502,plain,
    ( trans(s13,s14)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_503,plain,
    ( trans(s14,s15)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_504,plain,
    ( trans(s15,s16)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_505,plain,
    ( trans(s16,s17)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_506,plain,
    ( trans(s17,s18)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_507,plain,
    ( trans(s18,s19)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_508,plain,
    ( trans(s19,s20)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_509,plain,
    ( trans(s20,s21)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_510,plain,
    ( trans(s21,s22)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_511,plain,
    ( trans(s22,s23)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_512,plain,
    ( trans(s23,s24)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_513,plain,
    ( trans(s24,s25)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_514,plain,
    ( trans(s25,s26)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_515,plain,
    ( trans(s26,s27)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_516,plain,
    ( trans(s27,s28)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_517,plain,
    ( trans(s28,s29)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_518,plain,
    ( trans(s29,s30)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_519,plain,
    ( trans(s30,s31)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_520,plain,
    ( trans(s31,s32)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_521,plain,
    ( trans(s32,s33)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_522,plain,
    ( trans(s33,s34)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_523,plain,
    ( trans(s34,s35)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_524,plain,
    ( trans(s35,s36)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_525,plain,
    ( trans(s36,s37)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_526,plain,
    ( trans(s37,s38)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_527,plain,
    ( trans(s38,s39)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_528,plain,
    ( trans(s39,s40)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_529,plain,
    ( trans(s40,s41)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_530,plain,
    ( trans(s41,s42)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_531,plain,
    ( trans(s42,s43)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_532,plain,
    ( trans(s43,s44)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_533,plain,
    ( trans(s44,s45)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_534,plain,
    ( trans(s45,s46)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_535,plain,
    ( trans(s46,s47)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_536,plain,
    ( trans(s47,s48)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_537,plain,
    ( trans(s48,s49)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_538,plain,
    ( trans(s49,s50)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_539,plain,
    ( trans(s50,s51)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_540,plain,
    ( trans(s51,s52)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_541,plain,
    ( trans(s52,s53)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_542,plain,
    ( trans(s53,s54)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_543,plain,
    ( trans(s54,s55)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_544,plain,
    ( trans(s55,s56)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_545,plain,
    ( trans(s56,s57)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_546,plain,
    ( trans(s57,s58)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_547,plain,
    ( trans(s58,s59)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_548,plain,
    ( trans(s59,s60)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_549,plain,
    ( trans(s60,s61)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_550,plain,
    ( trans(s61,s62)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_551,plain,
    ( trans(s62,s63)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_552,plain,
    ( trans(s63,s64)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_553,plain,
    ( trans(s64,s65)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_554,plain,
    ( trans(s65,s66)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_555,plain,
    ( trans(s66,s67)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_556,plain,
    ( trans(s67,s68)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_557,plain,
    ( trans(s68,s69)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_558,plain,
    ( trans(s69,s70)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_559,plain,
    ( trans(s70,s71)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_560,plain,
    ( trans(s71,s72)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_561,plain,
    ( trans(s72,s73)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_562,plain,
    ( trans(s73,s74)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_563,plain,
    ( trans(s74,s75)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_564,plain,
    ( trans(s75,s76)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_565,plain,
    ( trans(s76,s77)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_566,plain,
    ( trans(s77,s78)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_567,plain,
    ( trans(s78,s79)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_568,plain,
    ( trans(s79,s80)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_569,plain,
    ( trans(s80,s81)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_570,plain,
    ( trans(s81,s82)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_571,plain,
    ( trans(s82,s83)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_572,plain,
    ( trans(s83,s84)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_573,plain,
    ( trans(s84,s85)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_574,plain,
    ( trans(s85,s86)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_575,plain,
    ( trans(s86,s87)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_576,plain,
    ( trans(s87,s88)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_577,plain,
    ( trans(s88,s89)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_578,plain,
    ( trans(s89,s90)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_579,plain,
    ( trans(s90,s91)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_580,plain,
    ( trans(s91,s92)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_581,plain,
    ( trans(s92,s93)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_582,plain,
    ( trans(s93,s94)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_583,plain,
    ( trans(s94,s95)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_584,plain,
    ( trans(s95,s96)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_585,plain,
    ( trans(s96,s97)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_586,plain,
    ( trans(s97,s98)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_587,plain,
    ( trans(s98,s99)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_588,plain,
    ( trans(s99,s100)
    | ~ succ(s99,s100) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_589,plain,
    ( trans(s100,s101)
    | ~ succ(s100,s101) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_590,plain,
    ( trans(s101,s102)
    | ~ succ(s101,s102) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_591,plain,
    ( trans(s102,s103)
    | ~ succ(s102,s103) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_592,plain,
    ( trans(s103,s104)
    | ~ succ(s103,s104) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_593,plain,
    ( ~ m_main_v_state1(s0,c_t1)
    | ~ m_main_v_state1(s0,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_594,plain,
    ( ~ m_main_v_turn(s0,c_2)
    | ~ m_main_v_turn(s0,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_597,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node15(s0) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_601,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node1(s0) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_602,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node26(s0) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_609,plain,
    ( node18(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_610,plain,
    ( node14(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_611,plain,
    ( node7(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_612,plain,
    ( node18(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_613,plain,
    ( node14(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_614,plain,
    ( node7(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_616,plain,
    ( node14(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_617,plain,
    ( node7(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_619,plain,
    ( node14(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_620,plain,
    ( node7(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_622,plain,
    ( node14(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_623,plain,
    ( node7(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_624,plain,
    ( node18(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_625,plain,
    ( node14(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_626,plain,
    ( node7(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_628,plain,
    ( node14(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_629,plain,
    ( node7(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_631,plain,
    ( node14(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_632,plain,
    ( node7(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_634,plain,
    ( node14(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_635,plain,
    ( node7(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_637,plain,
    ( node14(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_638,plain,
    ( node7(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_640,plain,
    ( node14(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_641,plain,
    ( node7(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_643,plain,
    ( node14(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_644,plain,
    ( node7(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_646,plain,
    ( node14(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_647,plain,
    ( node7(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_648,plain,
    ( node18(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_649,plain,
    ( node14(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_650,plain,
    ( node7(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_652,plain,
    ( node14(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_653,plain,
    ( node7(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_654,plain,
    ( node18(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_655,plain,
    ( node14(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_656,plain,
    ( node7(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_658,plain,
    ( node14(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_659,plain,
    ( node7(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_660,plain,
    ( node18(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_661,plain,
    ( node14(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_662,plain,
    ( node7(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_664,plain,
    ( node14(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_665,plain,
    ( node7(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_666,plain,
    ( node18(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_667,plain,
    ( node14(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_668,plain,
    ( node7(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_670,plain,
    ( node14(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_671,plain,
    ( node7(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_672,plain,
    ( node18(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_673,plain,
    ( node14(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_674,plain,
    ( node7(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_676,plain,
    ( node14(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_677,plain,
    ( node7(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_678,plain,
    ( node18(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_679,plain,
    ( node14(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_680,plain,
    ( node7(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_682,plain,
    ( node14(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_683,plain,
    ( node7(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_684,plain,
    ( node18(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_685,plain,
    ( node14(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_686,plain,
    ( node7(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_688,plain,
    ( node14(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_689,plain,
    ( node7(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_691,plain,
    ( node14(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_692,plain,
    ( node7(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_694,plain,
    ( node14(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_695,plain,
    ( node7(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_697,plain,
    ( node14(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_698,plain,
    ( node7(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_700,plain,
    ( node14(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_701,plain,
    ( node7(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_702,plain,
    ( node18(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_703,plain,
    ( node14(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_704,plain,
    ( node7(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_706,plain,
    ( node14(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_707,plain,
    ( node7(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_708,plain,
    ( node18(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_709,plain,
    ( node14(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_710,plain,
    ( node7(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_712,plain,
    ( node14(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_713,plain,
    ( node7(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_714,plain,
    ( node18(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_715,plain,
    ( node14(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_716,plain,
    ( node7(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_718,plain,
    ( node14(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_719,plain,
    ( node7(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_720,plain,
    ( node18(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_721,plain,
    ( node14(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_722,plain,
    ( node7(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_724,plain,
    ( node14(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_725,plain,
    ( node7(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_726,plain,
    ( node18(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_727,plain,
    ( node14(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_728,plain,
    ( node7(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_730,plain,
    ( node14(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_731,plain,
    ( node7(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_732,plain,
    ( node18(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_733,plain,
    ( node14(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_734,plain,
    ( node7(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_736,plain,
    ( node14(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_737,plain,
    ( node7(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_738,plain,
    ( node18(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_739,plain,
    ( node14(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_740,plain,
    ( node7(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_742,plain,
    ( node14(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_743,plain,
    ( node7(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_744,plain,
    ( node18(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_745,plain,
    ( node14(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_746,plain,
    ( node7(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_748,plain,
    ( node14(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_749,plain,
    ( node7(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_751,plain,
    ( node14(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_752,plain,
    ( node7(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_754,plain,
    ( node14(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_755,plain,
    ( node7(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_757,plain,
    ( node14(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_758,plain,
    ( node7(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_760,plain,
    ( node14(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_761,plain,
    ( node7(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_762,plain,
    ( node18(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_763,plain,
    ( node14(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_764,plain,
    ( node7(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_766,plain,
    ( node14(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_767,plain,
    ( node7(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_768,plain,
    ( node18(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_769,plain,
    ( node14(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_770,plain,
    ( node7(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_772,plain,
    ( node14(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_773,plain,
    ( node7(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_774,plain,
    ( node18(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_775,plain,
    ( node14(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_776,plain,
    ( node7(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_778,plain,
    ( node14(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_779,plain,
    ( node7(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_780,plain,
    ( node18(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_781,plain,
    ( node14(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_782,plain,
    ( node7(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_784,plain,
    ( node14(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_785,plain,
    ( node7(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_787,plain,
    ( node14(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_788,plain,
    ( node7(s59,s60)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_790,plain,
    ( node14(s60,s61)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_791,plain,
    ( node7(s60,s61)
    | ~ trans(s60,s61) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_793,plain,
    ( node14(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_794,plain,
    ( node7(s61,s62)
    | ~ trans(s61,s62) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_796,plain,
    ( node14(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_797,plain,
    ( node7(s62,s63)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_798,plain,
    ( node18(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_799,plain,
    ( node14(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_800,plain,
    ( node7(s63,s64)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_802,plain,
    ( node14(s64,s65)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_803,plain,
    ( node7(s64,s65)
    | ~ trans(s64,s65) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_805,plain,
    ( node14(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_806,plain,
    ( node7(s65,s66)
    | ~ trans(s65,s66) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_808,plain,
    ( node14(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_809,plain,
    ( node7(s66,s67)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_810,plain,
    ( node18(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_811,plain,
    ( node14(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_812,plain,
    ( node7(s67,s68)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_814,plain,
    ( node14(s68,s69)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_815,plain,
    ( node7(s68,s69)
    | ~ trans(s68,s69) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_817,plain,
    ( node14(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_818,plain,
    ( node7(s69,s70)
    | ~ trans(s69,s70) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_820,plain,
    ( node14(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_821,plain,
    ( node7(s70,s71)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_822,plain,
    ( node18(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_823,plain,
    ( node14(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_824,plain,
    ( node7(s71,s72)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_826,plain,
    ( node14(s72,s73)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_827,plain,
    ( node7(s72,s73)
    | ~ trans(s72,s73) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_828,plain,
    ( node18(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_829,plain,
    ( node14(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_830,plain,
    ( node7(s73,s74)
    | ~ trans(s73,s74) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_832,plain,
    ( node14(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_833,plain,
    ( node7(s74,s75)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_834,plain,
    ( node18(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_835,plain,
    ( node14(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_836,plain,
    ( node7(s75,s76)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_838,plain,
    ( node14(s76,s77)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_839,plain,
    ( node7(s76,s77)
    | ~ trans(s76,s77) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_841,plain,
    ( node14(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_842,plain,
    ( node7(s77,s78)
    | ~ trans(s77,s78) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_844,plain,
    ( node14(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_845,plain,
    ( node7(s78,s79)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_847,plain,
    ( node14(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_848,plain,
    ( node7(s79,s80)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_850,plain,
    ( node14(s80,s81)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_851,plain,
    ( node7(s80,s81)
    | ~ trans(s80,s81) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_852,plain,
    ( node18(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_853,plain,
    ( node14(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_854,plain,
    ( node7(s81,s82)
    | ~ trans(s81,s82) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_856,plain,
    ( node14(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_857,plain,
    ( node7(s82,s83)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_859,plain,
    ( node14(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_860,plain,
    ( node7(s83,s84)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_862,plain,
    ( node14(s84,s85)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_863,plain,
    ( node7(s84,s85)
    | ~ trans(s84,s85) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_864,plain,
    ( node18(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_865,plain,
    ( node14(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_866,plain,
    ( node7(s85,s86)
    | ~ trans(s85,s86) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_868,plain,
    ( node14(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_869,plain,
    ( node7(s86,s87)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_870,plain,
    ( node18(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_871,plain,
    ( node14(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_872,plain,
    ( node7(s87,s88)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_874,plain,
    ( node14(s88,s89)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_875,plain,
    ( node7(s88,s89)
    | ~ trans(s88,s89) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_876,plain,
    ( node18(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_877,plain,
    ( node14(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_878,plain,
    ( node7(s89,s90)
    | ~ trans(s89,s90) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_880,plain,
    ( node14(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_881,plain,
    ( node7(s90,s91)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_882,plain,
    ( node18(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_883,plain,
    ( node14(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_884,plain,
    ( node7(s91,s92)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_886,plain,
    ( node14(s92,s93)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_887,plain,
    ( node7(s92,s93)
    | ~ trans(s92,s93) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_888,plain,
    ( node18(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_889,plain,
    ( node14(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_890,plain,
    ( node7(s93,s94)
    | ~ trans(s93,s94) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_892,plain,
    ( node14(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_893,plain,
    ( node7(s94,s95)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_895,plain,
    ( node14(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_896,plain,
    ( node7(s95,s96)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_898,plain,
    ( node14(s96,s97)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_899,plain,
    ( node7(s96,s97)
    | ~ trans(s96,s97) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_900,plain,
    ( node18(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_901,plain,
    ( node14(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_902,plain,
    ( node7(s97,s98)
    | ~ trans(s97,s98) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_904,plain,
    ( node14(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_905,plain,
    ( node7(s98,s99)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_907,plain,
    ( node14(s99,s100)
    | ~ trans(s99,s100) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_908,plain,
    ( node7(s99,s100)
    | ~ trans(s99,s100) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_910,plain,
    ( node14(s100,s101)
    | ~ trans(s100,s101) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_911,plain,
    ( node7(s100,s101)
    | ~ trans(s100,s101) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_912,plain,
    ( node18(s101,s102)
    | ~ trans(s101,s102) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_913,plain,
    ( node14(s101,s102)
    | ~ trans(s101,s102) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_914,plain,
    ( node7(s101,s102)
    | ~ trans(s101,s102) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_916,plain,
    ( node14(s102,s103)
    | ~ trans(s102,s103) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_917,plain,
    ( node7(s102,s103)
    | ~ trans(s102,s103) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_918,plain,
    ( node18(s103,s104)
    | ~ trans(s103,s104) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_919,plain,
    ( node14(s103,s104)
    | ~ trans(s103,s104) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_920,plain,
    ( node7(s103,s104)
    | ~ trans(s103,s104) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_922,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node16(s0) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_924,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node8(s0) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_938,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s0)
      | ~ succ(s0,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_942,plain,
    ( node16(s0)
    | node15(s0)
    | node17(s0,s1)
    | ~ node18(s0,s1) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_950,plain,
    ( node16(s1)
    | node15(s1)
    | node17(s1,s2)
    | ~ node18(s1,s2) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_952,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_394]) ).

tcf(c_956,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_371]) ).

tcf(c_960,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_394]) ).

tcf(c_970,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_391]) ).

tcf(c_979,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_373]) ).

tcf(c_983,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_403]) ).

tcf(c_989,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_370]) ).

tcf(c_992,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_394]) ).

tcf(c_1002,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_391]) ).

tcf(c_1011,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_373]) ).

tcf(c_1021,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_370]) ).

tcf(c_1024,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_394]) ).

tcf(c_1034,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_391]) ).

tcf(c_1043,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_373]) ).

tcf(c_1047,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_403]) ).

tcf(c_1053,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_370]) ).

tcf(c_1056,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_394]) ).

tcf(c_1066,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_391]) ).

tcf(c_1075,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_373]) ).

tcf(c_1079,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_403]) ).

tcf(c_1085,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_370]) ).

tcf(c_1088,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_394]) ).

tcf(c_1098,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_391]) ).

tcf(c_1107,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_373]) ).

tcf(c_1111,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_403]) ).

tcf(c_1117,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_370]) ).

tcf(c_1120,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_394]) ).

tcf(c_1130,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_391]) ).

tcf(c_1139,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_373]) ).

tcf(c_1143,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_403]) ).

tcf(c_1149,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_370]) ).

tcf(c_1152,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_394]) ).

tcf(c_1162,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_391]) ).

tcf(c_1171,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_373]) ).

tcf(c_1181,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_370]) ).

tcf(c_1184,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_394]) ).

tcf(c_1194,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_391]) ).

tcf(c_1203,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_373]) ).

tcf(c_1207,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_403]) ).

tcf(c_1213,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_370]) ).

tcf(c_1216,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_394]) ).

tcf(c_1226,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_391]) ).

tcf(c_1235,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_373]) ).

tcf(c_1239,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_403]) ).

tcf(c_1245,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_370]) ).

tcf(c_1248,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_394]) ).

tcf(c_1258,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_391]) ).

tcf(c_1267,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_373]) ).

tcf(c_1271,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_403]) ).

tcf(c_1277,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_370]) ).

tcf(c_1280,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_394]) ).

tcf(c_1290,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_391]) ).

tcf(c_1299,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_373]) ).

tcf(c_1303,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_403]) ).

tcf(c_1309,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_370]) ).

tcf(c_1312,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_394]) ).

tcf(c_1322,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_391]) ).

tcf(c_1331,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_373]) ).

tcf(c_1341,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_370]) ).

tcf(c_1344,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_394]) ).

tcf(c_1354,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_391]) ).

tcf(c_1363,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_373]) ).

tcf(c_1367,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_403]) ).

tcf(c_1373,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_370]) ).

tcf(c_1376,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_394]) ).

tcf(c_1386,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_391]) ).

tcf(c_1395,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_373]) ).

tcf(c_1399,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_403]) ).

tcf(c_1405,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_370]) ).

tcf(c_1408,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_394]) ).

tcf(c_1418,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_391]) ).

tcf(c_1427,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_373]) ).

tcf(c_1437,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_370]) ).

tcf(c_1440,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_394]) ).

tcf(c_1450,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_391]) ).

tcf(c_1459,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_373]) ).

tcf(c_1469,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_370]) ).

tcf(c_1472,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_394]) ).

tcf(c_1482,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_391]) ).

tcf(c_1491,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_373]) ).

tcf(c_1501,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_370]) ).

tcf(c_1504,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_394]) ).

tcf(c_1514,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_391]) ).

tcf(c_1523,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_373]) ).

tcf(c_1527,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_403]) ).

tcf(c_1533,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_370]) ).

tcf(c_1536,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_394]) ).

tcf(c_1546,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_391]) ).

tcf(c_1555,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_373]) ).

tcf(c_1565,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_370]) ).

tcf(c_1568,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_394]) ).

tcf(c_1578,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_391]) ).

tcf(c_1587,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_373]) ).

tcf(c_1591,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_403]) ).

tcf(c_1597,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_370]) ).

tcf(c_1600,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_394]) ).

tcf(c_1610,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_391]) ).

tcf(c_1619,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_373]) ).

tcf(c_1623,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_403]) ).

tcf(c_1629,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_370]) ).

tcf(c_1632,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_394]) ).

tcf(c_1642,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_391]) ).

tcf(c_1651,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_373]) ).

tcf(c_1655,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_403]) ).

tcf(c_1661,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_370]) ).

tcf(c_1664,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_394]) ).

tcf(c_1674,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_391]) ).

tcf(c_1683,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_373]) ).

tcf(c_1687,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_403]) ).

tcf(c_1693,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_370]) ).

tcf(c_1696,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_394]) ).

tcf(c_1706,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_391]) ).

tcf(c_1715,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_373]) ).

tcf(c_1719,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_403]) ).

tcf(c_1725,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_370]) ).

tcf(c_1728,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_394]) ).

tcf(c_1738,plain,
    ( node10(s99)
    | node9(s99)
    | node8(s99)
    | m_main_v_state2(s100,c_c2)
    | ~ node14(s99,s100)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_1747,plain,
    ( node5(s100)
    | node4(s100)
    | node3(s100)
    | node2(s100)
    | node1(s100)
    | node6(s100,s101)
    | m_main_v_state1(s100,c_c1)
    | ~ node7(s100,s101) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_1751,plain,
    ( node15(s101)
    | m_main_v_turn(s102,c_1)
    | ~ node18(s101,s102)
    | ~ m_main_v_state2(s101,c_n2)
    | ~ m_main_v_state1(s101,c_t1) ),
    inference(instantiation,[status(thm)],[c_403]) ).

tcf(c_1757,plain,
    ( node3(s101)
    | node2(s101)
    | node1(s101)
    | m_main_v_state1(s102,c_c1)
    | ~ node7(s101,s102)
    | ~ m_main_v_state2(s101,c_n2)
    | ~ m_main_v_state1(s101,c_t1) ),
    inference(instantiation,[status(thm)],[c_370]) ).

tcf(c_1760,plain,
    ( node12(s102)
    | node11(s102)
    | node10(s102)
    | node9(s102)
    | node8(s102)
    | node13(s102,s103)
    | m_main_v_state2(s102,c_c2)
    | ~ node14(s102,s103) ),
    inference(instantiation,[status(thm)],[c_394]) ).

tcf(c_1770,plain,
    ( node10(s103)
    | node9(s103)
    | node8(s103)
    | m_main_v_state2(s104,c_c2)
    | ~ node14(s103,s104)
    | ~ m_main_v_state2(s103,c_t2)
    | ~ m_main_v_state1(s103,c_n1) ),
    inference(instantiation,[status(thm)],[c_391]) ).

tcf(c_1774,plain,
    ( until27(s1)
    | ~ xuntil28(s0)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_938]) ).

tcf(c_1775,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s1,X0)
      | ~ node17(s0,s1)
      | ~ m_main_v_turn(s0,X0) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_1801,plain,
    ( ~ m_main_v_state2(s1,c_c2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1804,plain,
    ( m_main_v_turn(s1,c_2)
    | ~ node12(s1) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_1809,plain,
    ( ~ m_main_v_state2(s2,c_c2)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1812,plain,
    ( m_main_v_turn(s2,c_2)
    | ~ node12(s2) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_1816,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node15(s1) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_1826,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_393]) ).

tcf(c_1827,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1828,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1843,plain,
    ( ~ m_main_v_state2(s6,c_c2)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1846,plain,
    ( m_main_v_turn(s6,c_2)
    | ~ node12(s6) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_1860,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_393]) ).

tcf(c_1861,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1862,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1877,plain,
    ( ~ m_main_v_state2(s10,c_c2)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1894,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_393]) ).

tcf(c_1895,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1896,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1911,plain,
    ( ~ m_main_v_state2(s14,c_c2)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1914,plain,
    ( m_main_v_turn(s14,c_2)
    | ~ node12(s14) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_1928,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_393]) ).

tcf(c_1929,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1930,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1945,plain,
    ( ~ m_main_v_state2(s18,c_c2)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1948,plain,
    ( m_main_v_turn(s18,c_2)
    | ~ node12(s18) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_1962,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_393]) ).

tcf(c_1963,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1964,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1972,plain,
    ( ~ m_main_v_state2(s21,c_c2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_1979,plain,
    ( ~ m_main_v_state2(s22,c_c2)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1982,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node12(s22) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_1996,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_393]) ).

tcf(c_1997,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_1998,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2013,plain,
    ( ~ m_main_v_state2(s26,c_c2)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2016,plain,
    ( m_main_v_turn(s26,c_2)
    | ~ node12(s26) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2030,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_393]) ).

tcf(c_2031,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2032,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2047,plain,
    ( ~ m_main_v_state2(s30,c_c2)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2064,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_393]) ).

tcf(c_2065,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2066,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2074,plain,
    ( ~ m_main_v_state2(s33,c_c2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2081,plain,
    ( ~ m_main_v_state2(s34,c_c2)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2084,plain,
    ( m_main_v_turn(s34,c_2)
    | ~ node12(s34) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2096,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node15(s17) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_2098,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_393]) ).

tcf(c_2099,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2100,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2115,plain,
    ( ~ m_main_v_state2(s38,c_c2)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2118,plain,
    ( m_main_v_turn(s38,c_2)
    | ~ node12(s38) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2132,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_393]) ).

tcf(c_2133,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2134,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2149,plain,
    ( ~ m_main_v_state2(s42,c_c2)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2152,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node12(s42) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2166,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_393]) ).

tcf(c_2167,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2168,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2183,plain,
    ( ~ m_main_v_state2(s46,c_c2)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2186,plain,
    ( m_main_v_turn(s46,c_2)
    | ~ node12(s46) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2198,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_393]) ).

tcf(c_2199,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2200,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2210,plain,
    ( ~ m_main_v_state2(s49,c_c2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2217,plain,
    ( ~ m_main_v_state2(s50,c_c2)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2232,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_393]) ).

tcf(c_2233,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2234,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2240,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node15(s25) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_2251,plain,
    ( ~ m_main_v_state2(s54,c_c2)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2254,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node12(s54) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2266,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_393]) ).

tcf(c_2267,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2268,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2285,plain,
    ( ~ m_main_v_state2(s58,c_c2)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2288,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node12(s58) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2300,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_393]) ).

tcf(c_2301,plain,
    ( ~ m_main_v_state2(s60,c_c2)
    | ~ m_main_v_state2(s60,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2302,plain,
    ( ~ m_main_v_state2(s60,c_c2)
    | ~ m_main_v_state2(s60,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2319,plain,
    ( ~ m_main_v_state2(s62,c_c2)
    | ~ m_main_v_state2(s62,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2334,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_393]) ).

tcf(c_2335,plain,
    ( ~ m_main_v_state2(s64,c_c2)
    | ~ m_main_v_state2(s64,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2336,plain,
    ( ~ m_main_v_state2(s64,c_c2)
    | ~ m_main_v_state2(s64,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2353,plain,
    ( ~ m_main_v_state2(s66,c_c2)
    | ~ m_main_v_state2(s66,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2368,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_393]) ).

tcf(c_2369,plain,
    ( ~ m_main_v_state2(s68,c_c2)
    | ~ m_main_v_state2(s68,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2370,plain,
    ( ~ m_main_v_state2(s68,c_c2)
    | ~ m_main_v_state2(s68,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2380,plain,
    ( ~ m_main_v_state2(s69,c_c2)
    | ~ m_main_v_state2(s69,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2387,plain,
    ( ~ m_main_v_state2(s70,c_c2)
    | ~ m_main_v_state2(s70,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2402,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_393]) ).

tcf(c_2403,plain,
    ( ~ m_main_v_state2(s72,c_c2)
    | ~ m_main_v_state2(s72,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2404,plain,
    ( ~ m_main_v_state2(s72,c_c2)
    | ~ m_main_v_state2(s72,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2421,plain,
    ( ~ m_main_v_state2(s74,c_c2)
    | ~ m_main_v_state2(s74,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2424,plain,
    ( m_main_v_turn(s74,c_2)
    | ~ node12(s74) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2436,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_393]) ).

tcf(c_2437,plain,
    ( ~ m_main_v_state2(s76,c_c2)
    | ~ m_main_v_state2(s76,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2438,plain,
    ( ~ m_main_v_state2(s76,c_c2)
    | ~ m_main_v_state2(s76,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2452,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node15(s37) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_2455,plain,
    ( ~ m_main_v_state2(s78,c_c2)
    | ~ m_main_v_state2(s78,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2470,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_393]) ).

tcf(c_2471,plain,
    ( ~ m_main_v_state2(s80,c_c2)
    | ~ m_main_v_state2(s80,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2472,plain,
    ( ~ m_main_v_state2(s80,c_c2)
    | ~ m_main_v_state2(s80,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2489,plain,
    ( ~ m_main_v_state2(s82,c_c2)
    | ~ m_main_v_state2(s82,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2492,plain,
    ( m_main_v_turn(s82,c_2)
    | ~ node12(s82) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2504,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_393]) ).

tcf(c_2505,plain,
    ( ~ m_main_v_state2(s84,c_c2)
    | ~ m_main_v_state2(s84,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2506,plain,
    ( ~ m_main_v_state2(s84,c_c2)
    | ~ m_main_v_state2(s84,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2514,plain,
    ( ~ m_main_v_state2(s85,c_c2)
    | ~ m_main_v_state2(s85,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2523,plain,
    ( ~ m_main_v_state2(s86,c_c2)
    | ~ m_main_v_state2(s86,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2526,plain,
    ( m_main_v_turn(s86,c_2)
    | ~ node12(s86) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2538,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_393]) ).

tcf(c_2539,plain,
    ( ~ m_main_v_state2(s88,c_c2)
    | ~ m_main_v_state2(s88,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2540,plain,
    ( ~ m_main_v_state2(s88,c_c2)
    | ~ m_main_v_state2(s88,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2557,plain,
    ( ~ m_main_v_state2(s90,c_c2)
    | ~ m_main_v_state2(s90,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2560,plain,
    ( m_main_v_turn(s90,c_2)
    | ~ node12(s90) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2572,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_393]) ).

tcf(c_2573,plain,
    ( ~ m_main_v_state2(s92,c_c2)
    | ~ m_main_v_state2(s92,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2574,plain,
    ( ~ m_main_v_state2(s92,c_c2)
    | ~ m_main_v_state2(s92,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2582,plain,
    ( ~ m_main_v_state2(s93,c_c2)
    | ~ m_main_v_state2(s93,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2588,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node15(s45) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_2591,plain,
    ( ~ m_main_v_state2(s94,c_c2)
    | ~ m_main_v_state2(s94,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2594,plain,
    ( m_main_v_turn(s94,c_2)
    | ~ node12(s94) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2606,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_393]) ).

tcf(c_2607,plain,
    ( ~ m_main_v_state2(s96,c_c2)
    | ~ m_main_v_state2(s96,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2608,plain,
    ( ~ m_main_v_state2(s96,c_c2)
    | ~ m_main_v_state2(s96,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2623,plain,
    ( ~ m_main_v_state2(s98,c_c2)
    | ~ m_main_v_state2(s98,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2628,plain,
    ( m_main_v_turn(s98,c_2)
    | ~ node12(s98) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2640,plain,
    ! [X0: $i] :
      ( node12(s100)
      | node11(s100)
      | node10(s100)
      | node9(s100)
      | node8(s100)
      | m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state2(s100,c_c2)
      | ~ node14(s100,X0) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_2641,plain,
    ( ~ m_main_v_state2(s100,c_c2)
    | ~ m_main_v_state2(s100,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2642,plain,
    ( ~ m_main_v_state2(s100,c_c2)
    | ~ m_main_v_state2(s100,c_n2) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_2657,plain,
    ( ~ m_main_v_state2(s102,c_c2)
    | ~ m_main_v_state2(s102,c_t2) ),
    inference(instantiation,[status(thm)],[c_348]) ).

tcf(c_2660,plain,
    ( m_main_v_turn(s102,c_2)
    | ~ node12(s102) ),
    inference(instantiation,[status(thm)],[c_385]) ).

tcf(c_2679,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2680,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2687,plain,
    ( ~ m_main_v_state1(s4,c_c1)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2695,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2696,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2700,plain,
    ( ~ m_main_v_state1(s7,c_c1)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2703,plain,
    ( ~ m_main_v_state1(s8,c_c1)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2711,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2712,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2719,plain,
    ( ~ m_main_v_state1(s12,c_c1)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2727,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2728,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2732,plain,
    ( ~ m_main_v_state1(s15,c_c1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2735,plain,
    ( ~ m_main_v_state1(s16,c_c1)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2745,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2746,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2750,plain,
    ( ~ m_main_v_state1(s19,c_c1)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2753,plain,
    ( ~ m_main_v_state1(s20,c_c1)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2761,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2762,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2766,plain,
    ( ~ m_main_v_state1(s23,c_c1)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2769,plain,
    ( ~ m_main_v_state1(s24,c_c1)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2777,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2778,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2785,plain,
    ( ~ m_main_v_state1(s28,c_c1)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2793,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2794,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2801,plain,
    ( ~ m_main_v_state1(s32,c_c1)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2809,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2810,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2817,plain,
    ( ~ m_main_v_state1(s36,c_c1)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2825,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2826,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2833,plain,
    ( ~ m_main_v_state1(s40,c_c1)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2840,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node15(s53) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_2843,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2844,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2851,plain,
    ( ~ m_main_v_state1(s44,c_c1)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2859,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2860,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2867,plain,
    ( ~ m_main_v_state1(s48,c_c1)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2875,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2876,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2883,plain,
    ( ~ m_main_v_state1(s52,c_c1)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2891,plain,
    ( ~ m_main_v_state1(s54,c_c1)
    | ~ m_main_v_state1(s54,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2892,plain,
    ( ~ m_main_v_state1(s54,c_c1)
    | ~ m_main_v_state1(s54,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2897,plain,
    ( ~ m_main_v_state1(s55,c_c1)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2901,plain,
    ( ~ m_main_v_state1(s56,c_c1)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2911,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2912,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2921,plain,
    ( ~ m_main_v_state1(s60,c_c1)
    | ~ m_main_v_state1(s60,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2931,plain,
    ( ~ m_main_v_state1(s62,c_c1)
    | ~ m_main_v_state1(s62,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2932,plain,
    ( ~ m_main_v_state1(s62,c_c1)
    | ~ m_main_v_state1(s62,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2941,plain,
    ( ~ m_main_v_state1(s64,c_c1)
    | ~ m_main_v_state1(s64,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2951,plain,
    ( ~ m_main_v_state1(s66,c_c1)
    | ~ m_main_v_state1(s66,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2952,plain,
    ( ~ m_main_v_state1(s66,c_c1)
    | ~ m_main_v_state1(s66,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2961,plain,
    ( ~ m_main_v_state1(s68,c_c1)
    | ~ m_main_v_state1(s68,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2971,plain,
    ( ~ m_main_v_state1(s70,c_c1)
    | ~ m_main_v_state1(s70,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2972,plain,
    ( ~ m_main_v_state1(s70,c_c1)
    | ~ m_main_v_state1(s70,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_2981,plain,
    ( ~ m_main_v_state1(s72,c_c1)
    | ~ m_main_v_state1(s72,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2984,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node15(s73) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_2993,plain,
    ( ~ m_main_v_state1(s74,c_c1)
    | ~ m_main_v_state1(s74,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_2994,plain,
    ( ~ m_main_v_state1(s74,c_c1)
    | ~ m_main_v_state1(s74,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3001,plain,
    ( ~ m_main_v_state1(s76,c_c1)
    | ~ m_main_v_state1(s76,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3011,plain,
    ( ~ m_main_v_state1(s78,c_c1)
    | ~ m_main_v_state1(s78,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3012,plain,
    ( ~ m_main_v_state1(s78,c_c1)
    | ~ m_main_v_state1(s78,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3021,plain,
    ( ~ m_main_v_state1(s80,c_c1)
    | ~ m_main_v_state1(s80,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3024,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node15(s81) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_3031,plain,
    ( ~ m_main_v_state1(s82,c_c1)
    | ~ m_main_v_state1(s82,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3032,plain,
    ( ~ m_main_v_state1(s82,c_c1)
    | ~ m_main_v_state1(s82,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3037,plain,
    ( ~ m_main_v_state1(s83,c_c1)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3041,plain,
    ( ~ m_main_v_state1(s84,c_c1)
    | ~ m_main_v_state1(s84,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3051,plain,
    ( ~ m_main_v_state1(s86,c_c1)
    | ~ m_main_v_state1(s86,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3052,plain,
    ( ~ m_main_v_state1(s86,c_c1)
    | ~ m_main_v_state1(s86,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3060,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node15(s89) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_3062,plain,
    ( ~ m_main_v_state1(s88,c_c1)
    | ~ m_main_v_state1(s88,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3071,plain,
    ( ~ m_main_v_state1(s90,c_c1)
    | ~ m_main_v_state1(s90,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3072,plain,
    ( ~ m_main_v_state1(s90,c_c1)
    | ~ m_main_v_state1(s90,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3077,plain,
    ( ~ m_main_v_state1(s91,c_c1)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3081,plain,
    ( ~ m_main_v_state1(s92,c_c1)
    | ~ m_main_v_state1(s92,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3084,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node15(s93) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_3091,plain,
    ( ~ m_main_v_state1(s94,c_c1)
    | ~ m_main_v_state1(s94,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_3092,plain,
    ( ~ m_main_v_state1(s94,c_c1)
    | ~ m_main_v_state1(s94,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_3099,plain,
    ( xuntil28(s1)
    | node26(s1)
    | ~ until27(s1) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_3141,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node12(s4) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3142,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node11(s4) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_3143,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node5(s4) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_3144,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node1(s4) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3145,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node26(s4) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3153,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node15(s5) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_3157,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node1(s5) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3158,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node26(s5) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3166,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node15(s97) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_3176,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s6,c_t2)
      | ~ node14(X0,s6)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3195,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node12(s8) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3197,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node5(s8) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_3199,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node26(s8) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3211,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node1(s9) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3212,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node26(s9) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3228,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s10,c_t2)
      | ~ node14(X0,s10)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3247,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node12(s12) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3248,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node11(s12) ),
    inference(instantiation,[status(thm)],[c_381]) ).

tcf(c_3249,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node5(s12) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_3250,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node1(s12) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3251,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node26(s12) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3259,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node15(s13) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_3263,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node1(s13) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3264,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node26(s13) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3280,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s14,c_t2)
      | ~ node14(X0,s14)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3299,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node12(s16) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3303,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node26(s16) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3316,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node26(s17) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3332,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s18,c_t2)
      | ~ node14(X0,s18)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3353,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node12(s20) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3357,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node26(s20) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3365,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node15(s21) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_3369,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node1(s21) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3370,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node26(s21) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3386,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s22,c_t2)
      | ~ node14(X0,s22)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3405,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node12(s24) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3409,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node26(s24) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3422,plain,
    ( m_main_v_state2(s25,c_t2)
    | ~ node26(s25) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3438,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s26,c_t2)
      | ~ node14(X0,s26)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3457,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node12(s28) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3459,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node5(s28) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_3460,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node1(s28) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3461,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node26(s28) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3473,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node1(s29) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3474,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node26(s29) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3490,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s30,c_t2)
      | ~ node14(X0,s30)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3495,plain,
    ( m_main_v_state1(s101,c_n1)
    | ~ node15(s101) ),
    inference(instantiation,[status(thm)],[c_396]) ).

tcf(c_3511,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node12(s32) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3515,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node26(s32) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3523,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node15(s33) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_3527,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node1(s33) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3528,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node26(s33) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3544,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s34,c_t2)
      | ~ node14(X0,s34)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3563,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node12(s36) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3567,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node26(s36) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3580,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node26(s37) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3596,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s38,c_t2)
      | ~ node14(X0,s38)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3615,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node12(s40) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3619,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node26(s40) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3627,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node15(s41) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_3631,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node1(s41) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3632,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node26(s41) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3648,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s42,c_t2)
      | ~ node14(X0,s42)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3669,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node12(s44) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3673,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node26(s44) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3686,plain,
    ( m_main_v_state2(s45,c_t2)
    | ~ node26(s45) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3702,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s46,c_t2)
      | ~ node14(X0,s46)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3721,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node12(s48) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_3723,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node5(s48) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_3725,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node26(s48) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3737,plain,
    ( m_main_v_state2(s49,c_t2)
    | ~ node1(s49) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_3738,plain,
    ( m_main_v_state2(s49,c_t2)
    | ~ node26(s49) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_3917,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_388]) ).

tcf(c_3921,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_388]) ).

tcf(c_3925,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_388]) ).

tcf(c_3929,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_388]) ).

tcf(c_3933,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_388]) ).

tcf(c_3937,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_388]) ).

tcf(c_3941,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_388]) ).

tcf(c_3945,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_388]) ).

tcf(c_3949,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_388]) ).

tcf(c_3953,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_388]) ).

tcf(c_3957,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_388]) ).

tcf(c_3961,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_388]) ).

tcf(c_3965,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_388]) ).

tcf(c_3969,plain,
    ( m_main_v_state2(s102,c_t2)
    | ~ node14(s101,s102)
    | ~ m_main_v_state2(s101,c_n2)
    | ~ m_main_v_state1(s101,c_t1) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_3986,plain,
    ( m_main_v_turn(s1,c_1)
    | ~ node17(s0,s1)
    | ~ m_main_v_turn(s0,c_1) ),
    inference(instantiation,[status(thm)],[c_1775]) ).

tcf(c_3994,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node8(s1) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_3995,plain,
    ! [X0: $i] :
      ( node8(s0)
      | m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(s0,c_n2)
      | ~ m_main_v_state1(s0,c_n1)
      | ~ node14(s0,X0) ),
    inference(instantiation,[status(thm)],[c_389]) ).

tcf(c_4103,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_1826]) ).

tcf(c_4107,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_1860]) ).

tcf(c_4111,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_1894]) ).

tcf(c_4115,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_1928]) ).

tcf(c_4119,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_1962]) ).

tcf(c_4123,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_1996]) ).

tcf(c_4135,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_2030]) ).

tcf(c_4139,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_2064]) ).

tcf(c_4143,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_2098]) ).

tcf(c_4147,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_2132]) ).

tcf(c_4151,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_2166]) ).

tcf(c_4155,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_2198]) ).

tcf(c_4167,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_2232]) ).

tcf(c_4171,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_2266]) ).

tcf(c_4175,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_2300]) ).

tcf(c_4179,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_2334]) ).

tcf(c_4183,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_2368]) ).

tcf(c_4187,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_2402]) ).

tcf(c_4191,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_2436]) ).

tcf(c_4203,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_2470]) ).

tcf(c_4207,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_2504]) ).

tcf(c_4211,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_2538]) ).

tcf(c_4215,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_2572]) ).

tcf(c_4219,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_2606]) ).

tcf(c_4223,plain,
    ( node12(s100)
    | node11(s100)
    | node10(s100)
    | node9(s100)
    | node8(s100)
    | m_main_v_state2(s101,c_n2)
    | ~ node14(s100,s101)
    | ~ m_main_v_state2(s100,c_c2) ),
    inference(instantiation,[status(thm)],[c_2640]) ).

tcf(c_4554,plain,
    ( always25(s1)
    | ~ node26(s1) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_4555,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_3995]) ).

tcf(c_4581,plain,
    ( ~ m_main_v_turn(s2,c_2)
    | ~ m_main_v_turn(s2,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5130,plain,
    ( ~ m_main_v_turn(s1,c_2)
    | ~ m_main_v_turn(s1,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5136,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node8(s50) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5137,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node8(s51) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5138,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node8(s52) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5142,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node8(s56) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5152,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node8(s58) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5153,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node8(s59) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5154,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node8(s60) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5156,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node8(s62) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5157,plain,
    ( m_main_v_state2(s63,c_n2)
    | ~ node8(s63) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5158,plain,
    ( m_main_v_state2(s64,c_n2)
    | ~ node8(s64) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5160,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node8(s66) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5161,plain,
    ( m_main_v_state2(s67,c_n2)
    | ~ node8(s67) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5162,plain,
    ( m_main_v_state2(s68,c_n2)
    | ~ node8(s68) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5164,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node8(s70) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5165,plain,
    ( m_main_v_state2(s71,c_n2)
    | ~ node8(s71) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5166,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node8(s72) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5168,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node8(s74) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5169,plain,
    ( m_main_v_state2(s75,c_n2)
    | ~ node8(s75) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5170,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node8(s76) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5172,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node8(s78) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5173,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node8(s79) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5174,plain,
    ( m_main_v_state2(s80,c_n2)
    | ~ node8(s80) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5186,plain,
    ( m_main_v_state2(s84,c_n2)
    | ~ node8(s84) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5188,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node8(s86) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5189,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node8(s87) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5190,plain,
    ( m_main_v_state2(s88,c_n2)
    | ~ node8(s88) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5194,plain,
    ( m_main_v_state2(s92,c_n2)
    | ~ node8(s92) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5196,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node8(s94) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5197,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node8(s95) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5198,plain,
    ( m_main_v_state2(s96,c_n2)
    | ~ node8(s96) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5200,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node8(s98) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5201,plain,
    ( m_main_v_state2(s99,c_n2)
    | ~ node8(s99) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5202,plain,
    ( m_main_v_state2(s100,c_n2)
    | ~ node8(s100) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5204,plain,
    ( m_main_v_state2(s102,c_n2)
    | ~ node8(s102) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5208,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node8(s3) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5209,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node8(s4) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5211,plain,
    ( ~ m_main_v_state1(s96,c_c1)
    | ~ m_main_v_state1(s96,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5220,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node8(s6) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5222,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node8(s8) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5224,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node8(s10) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5225,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node8(s11) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5226,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node8(s12) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5229,plain,
    ( m_main_v_state2(s15,c_n2)
    | ~ node8(s15) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5230,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node8(s16) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5232,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node8(s18) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5234,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node8(s20) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5236,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node8(s22) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5238,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node8(s24) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5240,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node8(s26) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5241,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node8(s27) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5242,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node8(s28) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5245,plain,
    ( ~ m_main_v_state1(s98,c_c1)
    | ~ m_main_v_state1(s98,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5246,plain,
    ( ~ m_main_v_state1(s98,c_c1)
    | ~ m_main_v_state1(s98,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_5252,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node8(s30) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5253,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node8(s31) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5254,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node8(s32) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5256,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node8(s34) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5257,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node8(s35) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5258,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node8(s36) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5260,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node8(s38) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5261,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node8(s39) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5262,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node8(s40) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5264,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node8(s42) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5265,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node8(s43) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5266,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node8(s44) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5268,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node8(s46) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5269,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node8(s47) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5270,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node8(s48) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_5278,plain,
    ( ~ m_main_v_state1(s100,c_c1)
    | ~ m_main_v_state1(s100,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5311,plain,
    ( ~ m_main_v_state1(s102,c_c1)
    | ~ m_main_v_state1(s102,c_t1) ),
    inference(instantiation,[status(thm)],[c_344]) ).

tcf(c_5312,plain,
    ( ~ m_main_v_state1(s102,c_c1)
    | ~ m_main_v_state1(s102,c_n1) ),
    inference(instantiation,[status(thm)],[c_343]) ).

tcf(c_5351,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_3176]) ).

tcf(c_5355,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_3228]) ).

tcf(c_5359,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_3280]) ).

tcf(c_5363,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_3332]) ).

tcf(c_5367,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_3386]) ).

tcf(c_5372,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_3438]) ).

tcf(c_5376,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_3490]) ).

tcf(c_5380,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_3544]) ).

tcf(c_5384,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_3596]) ).

tcf(c_5388,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_3648]) ).

tcf(c_5392,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_3702]) ).

tcf(c_5393,plain,
    ( ~ m_main_v_turn(s6,c_2)
    | ~ m_main_v_turn(s6,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5502,plain,
    ( ~ m_main_v_turn(s14,c_2)
    | ~ m_main_v_turn(s14,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5504,plain,
    ( ~ m_main_v_turn(s16,c_2)
    | ~ m_main_v_turn(s16,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5506,plain,
    ( ~ m_main_v_turn(s18,c_2)
    | ~ m_main_v_turn(s18,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5508,plain,
    ( ~ m_main_v_turn(s20,c_2)
    | ~ m_main_v_turn(s20,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5510,plain,
    ( ~ m_main_v_turn(s22,c_2)
    | ~ m_main_v_turn(s22,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5512,plain,
    ( ~ m_main_v_turn(s24,c_2)
    | ~ m_main_v_turn(s24,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5514,plain,
    ( ~ m_main_v_turn(s26,c_2)
    | ~ m_main_v_turn(s26,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5520,plain,
    ( ~ m_main_v_turn(s32,c_2)
    | ~ m_main_v_turn(s32,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5522,plain,
    ( ~ m_main_v_turn(s34,c_2)
    | ~ m_main_v_turn(s34,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5524,plain,
    ( ~ m_main_v_turn(s36,c_2)
    | ~ m_main_v_turn(s36,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5526,plain,
    ( ~ m_main_v_turn(s38,c_2)
    | ~ m_main_v_turn(s38,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_5956,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_368]) ).

tcf(c_6479,plain,
    ( ~ m_main_v_state2(s1,c_t2)
    | ~ m_main_v_state2(s1,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_6484,plain,
    ( ~ m_main_v_state1(s1,c_t1)
    | ~ m_main_v_state1(s1,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_6491,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s2,X0)
      | ~ node13(s1,s2)
      | ~ m_main_v_state2(s1,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_6493,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s1,X0)
      | ~ node13(s1,s2)
      | ~ m_main_v_state2(s2,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_6496,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node16(s1) ),
    inference(instantiation,[status(thm)],[c_398]) ).

tcf(c_6497,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node10(s1) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6498,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node9(s1) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6500,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node4(s1) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6501,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node2(s1) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6502,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s1,c_n2)
      | ~ node14(X0,s1)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6503,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s1,c_n2)
    | ~ node14(s104,s1)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6502]) ).

tcf(c_6512,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node8(s2) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_6514,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s2,X0)
      | ~ node17(s1,s2)
      | ~ m_main_v_turn(s1,X0) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_6520,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node11(s2) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_6521,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node9(s2) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_6522,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node3(s2) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_6523,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node2(s2) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_6524,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node1(s2) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_6529,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node10(s3) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6530,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node9(s3) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6534,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s3,c_n2)
      | ~ node14(X0,s3)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6535,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s3,c_n2)
    | ~ node14(s104,s3)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6534]) ).

tcf(c_6550,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node10(s4) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6551,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node9(s4) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6553,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node4(s4) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6554,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node2(s4) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6555,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s4,c_n2)
      | ~ node14(X0,s4)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6556,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s4,c_n2)
    | ~ node14(s104,s4)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6555]) ).

tcf(c_6569,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node3(s5) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_6570,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node2(s5) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_6588,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node10(s6) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6589,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node9(s6) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6591,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node4(s6) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6592,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node2(s6) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6593,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s6,c_n2)
      | ~ node14(X0,s6)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6594,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s6,c_n2)
    | ~ node14(s104,s6)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6593]) ).

tcf(c_6603,plain,
    ( m_main_v_state1(s7,c_t1)
    | ~ node8(s7) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_6612,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_372]) ).

tcf(c_6614,plain,
    ( m_main_v_state1(s8,c_c1)
    | ~ node10(s8) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_6620,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node4(s8) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6622,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s8,c_n2)
      | ~ node14(X0,s8)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6623,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s8,c_n2)
    | ~ node14(s104,s8)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6622]) ).

tcf(c_6653,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node10(s10) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6654,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node9(s10) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6656,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node4(s10) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6657,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node2(s10) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6658,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s10,c_n2)
      | ~ node14(X0,s10)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6659,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s10,c_n2)
    | ~ node14(s104,s10)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6658]) ).

tcf(c_6675,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node10(s11) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6676,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node9(s11) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6680,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s11,c_n2)
      | ~ node14(X0,s11)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6681,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s11,c_n2)
    | ~ node14(s104,s11)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6680]) ).

tcf(c_6693,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node10(s12) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6694,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node9(s12) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6696,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node4(s12) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6697,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node2(s12) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6698,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s12,c_n2)
      | ~ node14(X0,s12)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6699,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s12,c_n2)
    | ~ node14(s104,s12)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6698]) ).

tcf(c_6729,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node10(s14) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6734,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s14,c_n2)
      | ~ node14(X0,s14)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6735,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s14,c_n2)
    | ~ node14(s104,s14)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6734]) ).

tcf(c_6751,plain,
    ( m_main_v_state2(s15,c_n2)
    | ~ node9(s15) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6755,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s15,c_n2)
      | ~ node14(X0,s15)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6756,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s15,c_n2)
    | ~ node14(s104,s15)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6755]) ).

tcf(c_6769,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node11(s16) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_6770,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node9(s16) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_6771,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node3(s16) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_6772,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node2(s16) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_6773,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node1(s16) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_6799,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node10(s18) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6800,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node9(s18) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6802,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node4(s18) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6803,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node2(s18) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6804,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s18,c_n2)
      | ~ node14(X0,s18)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6805,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s18,c_n2)
    | ~ node14(s104,s18)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6804]) ).

tcf(c_6814,plain,
    ( m_main_v_state1(s19,c_t1)
    | ~ node8(s19) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_6827,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_372]) ).

tcf(c_6838,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node4(s20) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6840,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s20,c_n2)
      | ~ node14(X0,s20)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6841,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s20,c_n2)
    | ~ node14(s104,s20)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6840]) ).

tcf(c_6857,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node2(s21) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_6867,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node10(s22) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6868,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node9(s22) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6870,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node4(s22) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6871,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node2(s22) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6872,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s22,c_n2)
      | ~ node14(X0,s22)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6873,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s22,c_n2)
    | ~ node14(s104,s22)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6872]) ).

tcf(c_6882,plain,
    ( m_main_v_state1(s23,c_t1)
    | ~ node8(s23) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_6891,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s23,c_n1)
      | ~ node7(X0,s23)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_6902,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node4(s24) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6904,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s24,c_n2)
      | ~ node14(X0,s24)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6905,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s24,c_n2)
    | ~ node14(s104,s24)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6904]) ).

tcf(c_6920,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node3(s25) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_6921,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node2(s25) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_6922,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node1(s25) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_6931,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node10(s26) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_6932,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node9(s26) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_6934,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node4(s26) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6935,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node2(s26) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_6936,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s26,c_n2)
      | ~ node14(X0,s26)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6937,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s26,c_n2)
    | ~ node14(s104,s26)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6936]) ).

tcf(c_6959,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s27,c_n1)
      | ~ node7(X0,s27)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_6970,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node4(s28) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_6972,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s28,c_n2)
      | ~ node14(X0,s28)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_6973,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s28,c_n2)
    | ~ node14(s104,s28)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_6972]) ).

tcf(c_6988,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node3(s29) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_6989,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node2(s29) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_6999,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node10(s30) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7000,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node9(s30) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7002,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node4(s30) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7003,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node2(s30) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7004,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s30,c_n2)
      | ~ node14(X0,s30)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7005,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s30,c_n2)
    | ~ node14(s104,s30)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7004]) ).

tcf(c_7023,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s31,c_n1)
      | ~ node7(X0,s31)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7032,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node9(s32) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7034,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node4(s32) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7036,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s32,c_n2)
      | ~ node14(X0,s32)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7037,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s32,c_n2)
    | ~ node14(s104,s32)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7036]) ).

tcf(c_7053,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node2(s33) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7063,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node10(s34) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7064,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node9(s34) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7066,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node4(s34) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7067,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node2(s34) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7068,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s34,c_n2)
      | ~ node14(X0,s34)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7069,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s34,c_n2)
    | ~ node14(s104,s34)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7068]) ).

tcf(c_7087,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s35,c_n1)
      | ~ node7(X0,s35)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7100,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node4(s36) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7102,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s36,c_n2)
      | ~ node14(X0,s36)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7103,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s36,c_n2)
    | ~ node14(s104,s36)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7102]) ).

tcf(c_7118,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node3(s37) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7119,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node2(s37) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7120,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node1(s37) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_7129,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node10(s38) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7130,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node9(s38) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7132,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node4(s38) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7133,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node2(s38) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7134,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s38,c_n2)
      | ~ node14(X0,s38)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7135,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s38,c_n2)
    | ~ node14(s104,s38)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7134]) ).

tcf(c_7153,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s39,c_n1)
      | ~ node7(X0,s39)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7164,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node4(s40) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7166,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s40,c_n2)
      | ~ node14(X0,s40)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7167,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s40,c_n2)
    | ~ node14(s104,s40)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7166]) ).

tcf(c_7182,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node3(s41) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7183,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node2(s41) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7193,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node10(s42) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7194,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node9(s42) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7196,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node4(s42) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7197,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node2(s42) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7198,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s42,c_n2)
      | ~ node14(X0,s42)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7199,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s42,c_n2)
    | ~ node14(s104,s42)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7198]) ).

tcf(c_7217,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s43,c_n1)
      | ~ node7(X0,s43)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_7232,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node4(s44) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7234,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s44,c_n2)
      | ~ node14(X0,s44)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7235,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s44,c_n2)
    | ~ node14(s104,s44)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7234]) ).

tcf(c_7250,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node3(s45) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7251,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node2(s45) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7252,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node1(s45) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_7261,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node10(s46) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7262,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node9(s46) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7264,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node4(s46) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7265,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node2(s46) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7266,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s46,c_n2)
      | ~ node14(X0,s46)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7267,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s46,c_n2)
    | ~ node14(s104,s46)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7266]) ).

tcf(c_7285,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_372]) ).

tcf(c_7296,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node4(s48) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7298,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s48,c_n2)
      | ~ node14(X0,s48)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7299,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s48,c_n2)
    | ~ node14(s104,s48)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7298]) ).

tcf(c_7315,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node2(s49) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7325,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node10(s50) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7326,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node9(s50) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7328,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node4(s50) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7329,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node2(s50) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7330,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s50,c_n2)
      | ~ node14(X0,s50)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7331,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s50,c_n2)
    | ~ node14(s104,s50)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7330]) ).

tcf(c_7349,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_372]) ).

tcf(c_7360,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node4(s52) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7362,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s52,c_n2)
      | ~ node14(X0,s52)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7363,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s52,c_n2)
    | ~ node14(s104,s52)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7362]) ).

tcf(c_7382,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node3(s53) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7383,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node2(s53) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7384,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node1(s53) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_7393,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node10(s54) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7396,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node4(s54) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7398,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s54,c_n2)
      | ~ node14(X0,s54)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7399,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s54,c_n2)
    | ~ node14(s104,s54)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7398]) ).

tcf(c_7408,plain,
    ( m_main_v_state1(s55,c_t1)
    | ~ node8(s55) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_7417,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_372]) ).

tcf(c_7428,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node4(s56) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7430,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s56,c_n2)
      | ~ node14(X0,s56)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7431,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s56,c_n2)
    | ~ node14(s104,s56)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7430]) ).

tcf(c_7446,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node3(s57) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7447,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node2(s57) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7457,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node10(s58) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7458,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node9(s58) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7460,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node4(s58) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7461,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node2(s58) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7462,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s58,c_n2)
      | ~ node14(X0,s58)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7463,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s58,c_n2)
    | ~ node14(s104,s58)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7462]) ).

tcf(c_7481,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_372]) ).

tcf(c_7490,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node9(s60) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7492,plain,
    ( m_main_v_state2(s60,c_n2)
    | ~ node4(s60) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7494,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s60,c_n2)
      | ~ node14(X0,s60)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7495,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s60,c_n2)
    | ~ node14(s104,s60)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7494]) ).

tcf(c_7514,plain,
    ( m_main_v_state1(s61,c_n1)
    | ~ node3(s61) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7515,plain,
    ( m_main_v_state1(s61,c_n1)
    | ~ node2(s61) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7525,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node10(s62) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7526,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node9(s62) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7528,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node4(s62) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7529,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node2(s62) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7530,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s62,c_n2)
      | ~ node14(X0,s62)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7531,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s62,c_n2)
    | ~ node14(s104,s62)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7530]) ).

tcf(c_7549,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_372]) ).

tcf(c_7560,plain,
    ( m_main_v_state2(s64,c_n2)
    | ~ node4(s64) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7562,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s64,c_n2)
      | ~ node14(X0,s64)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7563,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s64,c_n2)
    | ~ node14(s104,s64)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7562]) ).

tcf(c_7578,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node3(s65) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7579,plain,
    ( m_main_v_state1(s65,c_n1)
    | ~ node2(s65) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7589,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node10(s66) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7590,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node9(s66) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7592,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node4(s66) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7593,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node2(s66) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7594,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s66,c_n2)
      | ~ node14(X0,s66)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7595,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s66,c_n2)
    | ~ node14(s104,s66)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7594]) ).

tcf(c_7613,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_372]) ).

tcf(c_7624,plain,
    ( m_main_v_state2(s68,c_n2)
    | ~ node4(s68) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7626,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s68,c_n2)
      | ~ node14(X0,s68)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7627,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s68,c_n2)
    | ~ node14(s104,s68)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7626]) ).

tcf(c_7647,plain,
    ( m_main_v_state1(s69,c_n1)
    | ~ node2(s69) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7657,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node10(s70) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7658,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node9(s70) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7660,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node4(s70) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7661,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node2(s70) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7662,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s70,c_n2)
      | ~ node14(X0,s70)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7663,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s70,c_n2)
    | ~ node14(s104,s70)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7662]) ).

tcf(c_7681,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_372]) ).

tcf(c_7690,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node9(s72) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7692,plain,
    ( m_main_v_state2(s72,c_n2)
    | ~ node4(s72) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7694,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s72,c_n2)
      | ~ node14(X0,s72)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7695,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s72,c_n2)
    | ~ node14(s104,s72)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7694]) ).

tcf(c_7710,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node3(s73) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7711,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node2(s73) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7712,plain,
    ( m_main_v_state1(s73,c_n1)
    | ~ node1(s73) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_7721,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node10(s74) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7722,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node9(s74) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7724,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node4(s74) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7725,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node2(s74) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7726,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s74,c_n2)
      | ~ node14(X0,s74)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7727,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s74,c_n2)
    | ~ node14(s104,s74)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7726]) ).

tcf(c_7745,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_372]) ).

tcf(c_7754,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node9(s76) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7756,plain,
    ( m_main_v_state2(s76,c_n2)
    | ~ node4(s76) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7758,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s76,c_n2)
      | ~ node14(X0,s76)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7759,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s76,c_n2)
    | ~ node14(s104,s76)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7758]) ).

tcf(c_7778,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node3(s77) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7779,plain,
    ( m_main_v_state1(s77,c_n1)
    | ~ node2(s77) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7789,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node10(s78) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7790,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node9(s78) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7792,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node4(s78) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7793,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node2(s78) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7794,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s78,c_n2)
      | ~ node14(X0,s78)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7795,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s78,c_n2)
    | ~ node14(s104,s78)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7794]) ).

tcf(c_7813,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_372]) ).

tcf(c_7824,plain,
    ( m_main_v_state2(s80,c_n2)
    | ~ node4(s80) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7826,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s80,c_n2)
      | ~ node14(X0,s80)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7827,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s80,c_n2)
    | ~ node14(s104,s80)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7826]) ).

tcf(c_7842,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node3(s81) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7843,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node2(s81) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7844,plain,
    ( m_main_v_state1(s81,c_n1)
    | ~ node1(s81) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_7853,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node10(s82) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7858,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s82,c_n2)
      | ~ node14(X0,s82)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7859,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s82,c_n2)
    | ~ node14(s104,s82)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7858]) ).

tcf(c_7868,plain,
    ( m_main_v_state1(s83,c_t1)
    | ~ node8(s83) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_7877,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_372]) ).

tcf(c_7888,plain,
    ( m_main_v_state2(s84,c_n2)
    | ~ node4(s84) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7890,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s84,c_n2)
      | ~ node14(X0,s84)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7891,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s84,c_n2)
    | ~ node14(s104,s84)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7890]) ).

tcf(c_7907,plain,
    ( m_main_v_state1(s85,c_n1)
    | ~ node2(s85) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7921,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node10(s86) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7922,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node9(s86) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_7924,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node4(s86) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7925,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node2(s86) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7926,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s86,c_n2)
      | ~ node14(X0,s86)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7927,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s86,c_n2)
    | ~ node14(s104,s86)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7926]) ).

tcf(c_7945,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_372]) ).

tcf(c_7956,plain,
    ( m_main_v_state2(s88,c_n2)
    | ~ node4(s88) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_7958,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s88,c_n2)
      | ~ node14(X0,s88)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7959,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s88,c_n2)
    | ~ node14(s104,s88)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7958]) ).

tcf(c_7974,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node3(s89) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_7975,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node2(s89) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_7976,plain,
    ( m_main_v_state1(s89,c_n1)
    | ~ node1(s89) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_7985,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node10(s90) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_7989,plain,
    ( m_main_v_state2(s90,c_n2)
    | ~ node2(s90) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_7990,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s90,c_n2)
      | ~ node14(X0,s90)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_7991,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s90,c_n2)
    | ~ node14(s104,s90)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_7990]) ).

tcf(c_8000,plain,
    ( m_main_v_state1(s91,c_t1)
    | ~ node8(s91) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_8009,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s91,c_n1)
      | ~ node7(X0,s91)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8020,plain,
    ( m_main_v_state2(s92,c_n2)
    | ~ node4(s92) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_8022,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s92,c_n2)
      | ~ node14(X0,s92)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_8023,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s92,c_n2)
    | ~ node14(s104,s92)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_8022]) ).

tcf(c_8039,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node2(s93) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_8040,plain,
    ( m_main_v_state1(s93,c_n1)
    | ~ node1(s93) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8052,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node10(s94) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_8053,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node9(s94) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_8055,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node4(s94) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_8056,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node2(s94) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_8057,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s94,c_n2)
      | ~ node14(X0,s94)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_8058,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s94,c_n2)
    | ~ node14(s104,s94)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_8057]) ).

tcf(c_8076,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s95,c_n1)
      | ~ node7(X0,s95)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8087,plain,
    ( m_main_v_state2(s96,c_n2)
    | ~ node4(s96) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_8089,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s96,c_n2)
      | ~ node14(X0,s96)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_8090,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s96,c_n2)
    | ~ node14(s104,s96)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_8089]) ).

tcf(c_8092,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s1)
      | ~ succ(s1,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_8108,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node3(s97) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_8109,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node2(s97) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_8110,plain,
    ( m_main_v_state1(s97,c_n1)
    | ~ node1(s97) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8119,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node10(s98) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_8120,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node9(s98) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_8122,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node4(s98) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_8123,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node2(s98) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_8124,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s98,c_n2)
      | ~ node14(X0,s98)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_8125,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s98,c_n2)
    | ~ node14(s104,s98)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_8124]) ).

tcf(c_8143,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s99,c_n1)
      | ~ node7(X0,s99)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8154,plain,
    ( m_main_v_state2(s100,c_n2)
    | ~ node4(s100) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_8156,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s100,c_n2)
      | ~ node14(X0,s100)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_8157,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s100,c_n2)
    | ~ node14(s104,s100)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_8156]) ).

tcf(c_8172,plain,
    ( m_main_v_state1(s101,c_n1)
    | ~ node3(s101) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_8173,plain,
    ( m_main_v_state1(s101,c_n1)
    | ~ node2(s101) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_8174,plain,
    ( m_main_v_state1(s101,c_n1)
    | ~ node1(s101) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8187,plain,
    ( m_main_v_state2(s102,c_n2)
    | ~ node10(s102) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_8188,plain,
    ( m_main_v_state2(s102,c_n2)
    | ~ node9(s102) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_8190,plain,
    ( m_main_v_state2(s102,c_n2)
    | ~ node4(s102) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_8191,plain,
    ( m_main_v_state2(s102,c_n2)
    | ~ node2(s102) ),
    inference(instantiation,[status(thm)],[c_357]) ).

tcf(c_8192,plain,
    ! [X0: $i] :
      ( node12(X0)
      | node11(X0)
      | node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s102,c_n2)
      | ~ node14(X0,s102)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_8193,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s102,c_n2)
    | ~ node14(s104,s102)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_8192]) ).

tcf(c_8211,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | m_main_v_state1(s103,c_n1)
      | ~ node7(X0,s103)
      | ~ m_main_v_state1(X0,c_c1) ),
    inference(instantiation,[status(thm)],[c_372]) ).

tcf(c_8229,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s3,c_t2)
      | ~ m_main_v_state1(s3,c_n1)
      | ~ node7(s3,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8291,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node11(s10) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_8293,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node3(s10) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_8295,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node1(s10) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_8309,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s11,c_t2)
      | ~ m_main_v_state1(s11,c_n1)
      | ~ node7(s11,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8330,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node3(s13) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_8331,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node2(s13) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_8347,plain,
    ( ~ m_main_v_state2(s14,c_t2)
    | ~ m_main_v_state2(s14,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8352,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s15,X0)
      | ~ node13(s14,s15)
      | ~ m_main_v_state2(s14,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_8374,plain,
    ( ~ m_main_v_state2(s17,c_t2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8407,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s23,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s22,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_8415,plain,
    ( ~ m_main_v_state2(s22,c_t2)
    | ~ m_main_v_state2(s22,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8435,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s27,X0)
      | ~ node13(s26,s27)
      | ~ m_main_v_state2(s26,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_8437,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s26,X0)
      | ~ node13(s26,s27)
      | ~ m_main_v_state2(s27,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_8443,plain,
    ( ~ m_main_v_state2(s26,c_t2)
    | ~ m_main_v_state2(s26,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8461,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s31,X0)
      | ~ node13(s30,s31)
      | ~ m_main_v_state2(s30,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_8463,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s30,X0)
      | ~ node13(s30,s31)
      | ~ m_main_v_state2(s31,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_8473,plain,
    ( ~ m_main_v_state2(s30,c_t2)
    | ~ m_main_v_state2(s30,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8495,plain,
    ( ~ m_main_v_state2(s34,c_t2)
    | ~ m_main_v_state2(s34,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_8877,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s23,c_t2)
      | ~ m_main_v_state1(s23,c_n1)
      | ~ node7(s23,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_8928,plain,
    ( m_main_v_state2(s2,c_t2)
    | ~ node13(s1,s2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_6491]) ).

tcf(c_8929,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node13(s1,s2)
    | ~ m_main_v_state2(s2,c_n2) ),
    inference(instantiation,[status(thm)],[c_6493]) ).

tcf(c_8932,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node10(s2) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_8935,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node4(s2) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_9700,plain,
    ( until27(s2)
    | ~ xuntil28(s1)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_8092]) ).

tcf(c_9704,plain,
    ( ~ m_main_v_state2(s10,c_t2)
    | ~ m_main_v_state2(s10,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9705,plain,
    ( ~ m_main_v_state2(s13,c_t2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_9783,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node11(s1) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_9785,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node3(s1) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_9787,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node1(s1) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_9811,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node3(s4) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_9816,plain,
    ( ~ m_main_v_state1(s7,c_t1)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_9823,plain,
    ( ~ m_main_v_state1(s16,c_t1)
    | ~ m_main_v_state1(s16,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_9830,plain,
    ( ~ m_main_v_state1(s19,c_t1)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_9840,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s43,X0)
      | ~ node13(s42,s43)
      | ~ m_main_v_state2(s42,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_9842,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s42,X0)
      | ~ node13(s42,s43)
      | ~ m_main_v_state2(s43,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_9845,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s47,X0)
      | ~ node13(s46,s47)
      | ~ m_main_v_state2(s46,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_9847,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s46,X0)
      | ~ node13(s46,s47)
      | ~ m_main_v_state2(s47,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_9907,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s55,X0)
      | ~ node13(s54,s55)
      | ~ m_main_v_state2(s54,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_9909,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s54,X0)
      | ~ node13(s54,s55)
      | ~ m_main_v_state2(s55,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_9921,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s59,X0)
      | ~ node13(s58,s59)
      | ~ m_main_v_state2(s58,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_9923,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s58,X0)
      | ~ node13(s58,s59)
      | ~ m_main_v_state2(s59,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_9929,plain,
    ( m_main_v_state2(s60,c_t2)
    | ~ node12(s60) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_9945,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_367]) ).

tcf(c_10097,plain,
    ( m_main_v_state1(s66,c_t1)
    | ~ node12(s66) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_10110,plain,
    ( m_main_v_state1(s70,c_t1)
    | ~ node12(s70) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_10118,plain,
    ( m_main_v_state2(s72,c_t2)
    | ~ node12(s72) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10298,plain,
    ( m_main_v_state2(s76,c_t2)
    | ~ node12(s76) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10306,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node12(s78) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_10354,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s87,X0)
      | ~ node13(s86,s87)
      | ~ m_main_v_state2(s86,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_10356,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s86,X0)
      | ~ node13(s86,s87)
      | ~ m_main_v_state2(s87,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_10366,plain,
    ( m_main_v_state2(s88,c_t2)
    | ~ node12(s88) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10374,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s91,X0)
      | ~ node13(s90,s91)
      | ~ m_main_v_state2(s90,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_10386,plain,
    ( m_main_v_state2(s92,c_t2)
    | ~ node12(s92) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10404,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node12(s96) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_10520,plain,
    ( m_main_v_state2(s57,c_t2)
    | ~ node1(s57) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_10584,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_8229]) ).

tcf(c_10601,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_8309]) ).

tcf(c_10612,plain,
    ( m_main_v_state2(s15,c_t2)
    | ~ node13(s14,s15)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_8352]) ).

tcf(c_10628,plain,
    ( m_main_v_state2(s23,c_t2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_8407]) ).

tcf(c_10639,plain,
    ( m_main_v_state2(s27,c_t2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_8435]) ).

tcf(c_10646,plain,
    ( m_main_v_state2(s69,c_c2)
    | ~ node3(s69) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_10658,plain,
    ( m_main_v_state2(s31,c_t2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_8461]) ).

tcf(c_10848,plain,
    ( ~ m_main_v_state1(s21,c_t1)
    | ~ m_main_v_state1(s21,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_10862,plain,
    ( ~ m_main_v_state1(s23,c_t1)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_10870,plain,
    ( ~ m_main_v_state1(s24,c_t1)
    | ~ m_main_v_state1(s24,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_10906,plain,
    ( ~ m_main_v_state1(s29,c_t1)
    | ~ m_main_v_state1(s29,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_10936,plain,
    ( ~ m_main_v_state1(s36,c_t1)
    | ~ m_main_v_state1(s36,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_10968,plain,
    ( ~ m_main_v_state1(s41,c_t1)
    | ~ m_main_v_state1(s41,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11024,plain,
    ( ~ m_main_v_state1(s49,c_t1)
    | ~ m_main_v_state1(s49,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11062,plain,
    ( ~ m_main_v_state1(s55,c_t1)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11072,plain,
    ( ~ m_main_v_state1(s57,c_t1)
    | ~ m_main_v_state1(s57,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11092,plain,
    ( ~ m_main_v_state1(s61,c_t1)
    | ~ m_main_v_state1(s61,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11120,plain,
    ( ~ m_main_v_state1(s65,c_t1)
    | ~ m_main_v_state1(s65,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11128,plain,
    ( m_main_v_state2(s65,c_t2)
    | ~ node1(s65) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_11140,plain,
    ( ~ m_main_v_state1(s69,c_t1)
    | ~ m_main_v_state1(s69,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11148,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node1(s69) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_11192,plain,
    ( ~ m_main_v_state1(s77,c_t1)
    | ~ m_main_v_state1(s77,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11234,plain,
    ( ~ m_main_v_state1(s83,c_t1)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11244,plain,
    ( ~ m_main_v_state1(s85,c_t1)
    | ~ m_main_v_state1(s85,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11282,plain,
    ( ~ m_main_v_state1(s91,c_t1)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11292,plain,
    ( ~ m_main_v_state1(s93,c_t1)
    | ~ m_main_v_state1(s93,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11369,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_372]) ).

tcf(c_11399,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node11(s6) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11403,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node1(s6) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11408,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node11(s8) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11409,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node9(s8) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_11410,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node3(s8) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11411,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node2(s8) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_11412,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node1(s8) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11419,plain,
    ( m_main_v_state1(s9,c_n1)
    | ~ node3(s9) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11420,plain,
    ( m_main_v_state1(s9,c_n1)
    | ~ node2(s9) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_11439,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_372]) ).

tcf(c_11445,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node3(s12) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11460,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node11(s14) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11461,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node9(s14) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_11462,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node3(s14) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11463,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node2(s14) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_11464,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node1(s14) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11474,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_372]) ).

tcf(c_11480,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node3(s17) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11481,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node2(s17) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_11482,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node1(s17) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11487,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node11(s18) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11489,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node3(s18) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11491,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node1(s18) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11496,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node11(s20) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11497,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node9(s20) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_11498,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node3(s20) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11499,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node2(s20) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_11500,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node1(s20) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11513,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node11(s22) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11515,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node3(s22) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_11517,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node1(s22) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11521,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node1(s24) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11522,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node1(s32) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11527,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node1(s98) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11528,plain,
    ( m_main_v_state1(s100,c_n1)
    | ~ node1(s100) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11529,plain,
    ( m_main_v_state1(s102,c_n1)
    | ~ node1(s102) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_11563,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node11(s24) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11564,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node11(s32) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11565,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node11(s36) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11566,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node11(s40) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11567,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node11(s44) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11568,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node11(s50) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11569,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node11(s52) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11570,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node11(s62) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11571,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node11(s64) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11572,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node11(s68) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11573,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node11(s80) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11574,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node11(s84) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11575,plain,
    ( m_main_v_state1(s100,c_n1)
    | ~ node11(s100) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_11595,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s3,X0)
      | ~ node13(s2,s3)
      | ~ m_main_v_state2(s2,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_11597,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s2,X0)
      | ~ node13(s2,s3)
      | ~ m_main_v_state2(s3,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_11636,plain,
    ( xuntil28(s2)
    | node26(s2)
    | ~ until27(s2) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_11637,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s99,X0)
      | ~ node13(s98,s99)
      | ~ m_main_v_state2(s98,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_11643,plain,
    ( ~ m_main_v_state1(s33,c_t1)
    | ~ m_main_v_state1(s33,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_11651,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s103,X0)
      | ~ node13(s102,s103)
      | ~ m_main_v_state2(s102,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_11653,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s102,X0)
      | ~ node13(s102,s103)
      | ~ m_main_v_state2(s103,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_11660,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s27,c_n2) ),
    inference(instantiation,[status(thm)],[c_8437]) ).

tcf(c_11665,plain,
    ( ~ m_main_v_state2(s29,c_t2)
    | ~ m_main_v_state2(s29,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11671,plain,
    ( ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state2(s7,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11686,plain,
    ( ~ m_main_v_state2(s21,c_t2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11688,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node9(s23) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_11693,plain,
    ( ~ m_main_v_state2(s25,c_t2)
    | ~ m_main_v_state2(s25,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11711,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s31,c_n2) ),
    inference(instantiation,[status(thm)],[c_8463]) ).

tcf(c_11721,plain,
    ( ~ m_main_v_state2(s37,c_t2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11731,plain,
    ( ~ m_main_v_state2(s41,c_t2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11741,plain,
    ( ~ m_main_v_state2(s45,c_t2)
    | ~ m_main_v_state2(s45,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11751,plain,
    ( ~ m_main_v_state2(s49,c_t2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11889,plain,
    ( ~ m_main_v_state2(s53,c_t2)
    | ~ m_main_v_state2(s53,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11891,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node9(s55) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_11899,plain,
    ( ~ m_main_v_state2(s57,c_t2)
    | ~ m_main_v_state2(s57,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11909,plain,
    ( ~ m_main_v_state2(s61,c_t2)
    | ~ m_main_v_state2(s61,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11939,plain,
    ( ~ m_main_v_state2(s73,c_t2)
    | ~ m_main_v_state2(s73,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11949,plain,
    ( ~ m_main_v_state2(s77,c_t2)
    | ~ m_main_v_state2(s77,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11959,plain,
    ( ~ m_main_v_state2(s81,c_t2)
    | ~ m_main_v_state2(s81,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_11969,plain,
    ( ~ m_main_v_state2(s85,c_t2)
    | ~ m_main_v_state2(s85,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12072,plain,
    ( ~ m_main_v_state2(s89,c_t2)
    | ~ m_main_v_state2(s89,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12074,plain,
    ( m_main_v_state1(s91,c_c1)
    | ~ node10(s91) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_12083,plain,
    ( ~ m_main_v_state2(s93,c_t2)
    | ~ m_main_v_state2(s93,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12093,plain,
    ( ~ m_main_v_state2(s97,c_t2)
    | ~ m_main_v_state2(s97,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12098,plain,
    ( ~ m_main_v_state2(s101,c_t2)
    | ~ m_main_v_state2(s101,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12103,plain,
    ( ~ m_main_v_state2(s5,c_t2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12109,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node11(s38) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12137,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node11(s60) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12156,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node11(s66) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12162,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s71,X0)
      | ~ node13(s70,s71)
      | ~ m_main_v_state2(s70,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_12164,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s70,X0)
      | ~ node13(s70,s71)
      | ~ m_main_v_state2(s71,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_12184,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s19,X0)
      | ~ node13(s18,s19)
      | ~ m_main_v_state2(s18,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_12186,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s18,X0)
      | ~ node13(s18,s19)
      | ~ m_main_v_state2(s19,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_12239,plain,
    ( m_main_v_state2(s103,c_n2)
    | ~ node10(s103) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_12241,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node11(s74) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12243,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node11(s76) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12245,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node11(s78) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12251,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node11(s82) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12257,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node11(s88) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12263,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node11(s94) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12265,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node11(s96) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_12410,plain,
    ( ~ m_main_v_state2(s91,c_t2)
    | ~ m_main_v_state2(s91,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12427,plain,
    ( ~ m_main_v_state2(s65,c_t2)
    | ~ m_main_v_state2(s65,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_12499,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_367]) ).

tcf(c_12589,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s91,c_t2)
      | ~ m_main_v_state1(s91,c_n1)
      | ~ node7(s91,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_12600,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s55,c_t2)
      | ~ m_main_v_state1(s55,c_n1)
      | ~ node7(s55,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_12672,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_8877]) ).

tcf(c_12694,plain,
    ( m_main_v_state2(s43,c_t2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_9840]) ).

tcf(c_12697,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s43,c_n2) ),
    inference(instantiation,[status(thm)],[c_9842]) ).

tcf(c_12700,plain,
    ( m_main_v_state2(s47,c_t2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_9845]) ).

tcf(c_12703,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s47,c_n2) ),
    inference(instantiation,[status(thm)],[c_9847]) ).

tcf(c_12712,plain,
    ( m_main_v_state2(s55,c_t2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_9907]) ).

tcf(c_12724,plain,
    ( m_main_v_state2(s59,c_t2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_9921]) ).

tcf(c_12727,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s59,c_n2) ),
    inference(instantiation,[status(thm)],[c_9923]) ).

tcf(c_12728,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_9945]) ).

tcf(c_12741,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node9(s35) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_12753,plain,
    ( m_main_v_state2(s87,c_t2)
    | ~ node13(s86,s87)
    | ~ m_main_v_state2(s86,c_t2) ),
    inference(instantiation,[status(thm)],[c_10354]) ).

tcf(c_12756,plain,
    ( m_main_v_state2(s86,c_n2)
    | ~ node13(s86,s87)
    | ~ m_main_v_state2(s87,c_n2) ),
    inference(instantiation,[status(thm)],[c_10356]) ).

tcf(c_12759,plain,
    ( m_main_v_state2(s91,c_t2)
    | ~ node13(s90,s91)
    | ~ m_main_v_state2(s90,c_t2) ),
    inference(instantiation,[status(thm)],[c_10374]) ).

tcf(c_12840,plain,
    ( m_main_v_state2(s67,c_n2)
    | ~ node10(s67) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_12906,plain,
    ( m_main_v_state2(s3,c_t2)
    | ~ node13(s2,s3)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_11595]) ).

tcf(c_12909,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node13(s2,s3)
    | ~ m_main_v_state2(s3,c_n2) ),
    inference(instantiation,[status(thm)],[c_11597]) ).

tcf(c_12950,plain,
    ( m_main_v_state1(s66,c_t1)
    | ~ node5(s66) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_12985,plain,
    ( ~ m_main_v_state1(s32,c_t1)
    | ~ m_main_v_state1(s32,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_12992,plain,
    ( m_main_v_state1(s100,c_n1)
    | ~ node2(s100) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_13021,plain,
    ( ~ m_main_v_state1(s9,c_t1)
    | ~ m_main_v_state1(s9,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_13027,plain,
    ( m_main_v_state2(s34,c_c2)
    | ~ node3(s34) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_13078,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node12(s50) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_13084,plain,
    ( m_main_v_state1(s62,c_t1)
    | ~ node12(s62) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_13091,plain,
    ( m_main_v_state2(s68,c_t2)
    | ~ node12(s68) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_13093,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node12(s80) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_13099,plain,
    ( m_main_v_state2(s100,c_t2)
    | ~ node12(s100) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_13105,plain,
    ( m_main_v_turn(s2,c_1)
    | ~ node17(s1,s2)
    | ~ m_main_v_turn(s1,c_1) ),
    inference(instantiation,[status(thm)],[c_6514]) ).

tcf(c_13240,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_402]) ).

tcf(c_13276,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s20,c_2)
      | ~ node18(X0,s20)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13419,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s40,c_2)
      | ~ node18(X0,s40)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13455,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s44,c_2)
      | ~ node18(X0,s44)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13527,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s52,c_2)
      | ~ node18(X0,s52)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13563,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s56,c_2)
      | ~ node18(X0,s56)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13635,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s64,c_2)
      | ~ node18(X0,s64)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13671,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s68,c_2)
      | ~ node18(X0,s68)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13707,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s72,c_2)
      | ~ node18(X0,s72)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13749,plain,
    ( m_main_v_state1(s16,c_c1)
    | ~ node10(s16) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_13809,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s76,c_2)
      | ~ node18(X0,s76)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_13838,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s47,c_t2)
      | ~ m_main_v_state1(s47,c_n1)
      | ~ node7(s47,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_13862,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_402]) ).

tcf(c_13909,plain,
    ( always25(s2)
    | ~ node26(s2) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_13913,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node11(s26) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_13917,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node11(s28) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_13923,plain,
    ( m_main_v_state1(s23,c_c1)
    | ~ node10(s23) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_13957,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s55,c_n2) ),
    inference(instantiation,[status(thm)],[c_9909]) ).

tcf(c_13960,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node10(s59) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_13973,plain,
    ( ~ m_main_v_state2(s69,c_t2)
    | ~ m_main_v_state2(s69,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_13989,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node9(s87) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_14031,plain,
    ( m_main_v_state2(s91,c_n2)
    | ~ node9(s91) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_14087,plain,
    ( m_main_v_state2(s103,c_n2)
    | ~ node9(s103) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_14277,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node11(s56) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_14358,plain,
    ( ~ m_main_v_turn(s40,c_2)
    | ~ m_main_v_turn(s40,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14371,plain,
    ( ~ m_main_v_turn(s42,c_2)
    | ~ m_main_v_turn(s42,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14385,plain,
    ( ~ m_main_v_turn(s46,c_2)
    | ~ m_main_v_turn(s46,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14410,plain,
    ( ~ m_main_v_turn(s52,c_2)
    | ~ m_main_v_turn(s52,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14422,plain,
    ( ~ m_main_v_turn(s54,c_2)
    | ~ m_main_v_turn(s54,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14439,plain,
    ( ~ m_main_v_turn(s58,c_2)
    | ~ m_main_v_turn(s58,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14464,plain,
    ( ~ m_main_v_turn(s64,c_2)
    | ~ m_main_v_turn(s64,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14483,plain,
    ( ~ m_main_v_turn(s72,c_2)
    | ~ m_main_v_turn(s72,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14495,plain,
    ( ~ m_main_v_turn(s74,c_2)
    | ~ m_main_v_turn(s74,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14512,plain,
    ( ~ m_main_v_turn(s76,c_2)
    | ~ m_main_v_turn(s76,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14549,plain,
    ( ~ m_main_v_turn(s82,c_2)
    | ~ m_main_v_turn(s82,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14569,plain,
    ( ~ m_main_v_turn(s86,c_2)
    | ~ m_main_v_turn(s86,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14585,plain,
    ( ~ m_main_v_turn(s90,c_2)
    | ~ m_main_v_turn(s90,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14597,plain,
    ( ~ m_main_v_turn(s94,c_2)
    | ~ m_main_v_turn(s94,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14618,plain,
    ( ~ m_main_v_turn(s98,c_2)
    | ~ m_main_v_turn(s98,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14628,plain,
    ( ~ m_main_v_turn(s102,c_2)
    | ~ m_main_v_turn(s102,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_14811,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s103,c_t2)
      | ~ m_main_v_state1(s103,c_n1)
      | ~ node7(s103,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_14812,plain,
    ( m_main_v_state1(s104,c_t1)
    | ~ node7(s103,s104)
    | ~ m_main_v_state2(s103,c_t2)
    | ~ m_main_v_state1(s103,c_n1) ),
    inference(instantiation,[status(thm)],[c_14811]) ).

tcf(c_14816,plain,
    ( m_main_v_state2(s99,c_n2)
    | ~ node9(s99) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_14820,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node9(s27) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_14833,plain,
    ( m_main_v_state2(s99,c_t2)
    | ~ node13(s98,s99)
    | ~ m_main_v_state2(s98,c_t2) ),
    inference(instantiation,[status(thm)],[c_11637]) ).

tcf(c_14839,plain,
    ( m_main_v_state2(s103,c_t2)
    | ~ node13(s102,s103)
    | ~ m_main_v_state2(s102,c_t2) ),
    inference(instantiation,[status(thm)],[c_11651]) ).

tcf(c_15002,plain,
    ( m_main_v_state2(s71,c_t2)
    | ~ node13(s70,s71)
    | ~ m_main_v_state2(s70,c_t2) ),
    inference(instantiation,[status(thm)],[c_12162]) ).

tcf(c_15005,plain,
    ( m_main_v_state2(s70,c_n2)
    | ~ node13(s70,s71)
    | ~ m_main_v_state2(s71,c_n2) ),
    inference(instantiation,[status(thm)],[c_12164]) ).

tcf(c_15014,plain,
    ( m_main_v_state2(s19,c_t2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_12184]) ).

tcf(c_15017,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s19,c_n2) ),
    inference(instantiation,[status(thm)],[c_12186]) ).

tcf(c_15030,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_12499]) ).

tcf(c_15035,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_12589]) ).

tcf(c_15037,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_12600]) ).

tcf(c_15105,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_13838]) ).

tcf(c_15121,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_13240]) ).

tcf(c_15125,plain,
    ( m_main_v_turn(s20,c_2)
    | ~ node18(s19,s20)
    | ~ m_main_v_state2(s19,c_t2)
    | ~ m_main_v_state1(s19,c_n1) ),
    inference(instantiation,[status(thm)],[c_13276]) ).

tcf(c_15137,plain,
    ( ~ m_main_v_state1(s88,c_t1)
    | ~ m_main_v_state1(s88,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_15141,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_13419]) ).

tcf(c_15145,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_13455]) ).

tcf(c_15153,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_13527]) ).

tcf(c_15157,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_13563]) ).

tcf(c_15165,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_13635]) ).

tcf(c_15169,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_13671]) ).

tcf(c_15173,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_13707]) ).

tcf(c_15177,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_13809]) ).

tcf(c_15179,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_13862]) ).

tcf(c_15215,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node3(s88) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_15227,plain,
    ( ~ m_main_v_state1(s28,c_t1)
    | ~ m_main_v_state1(s28,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_15239,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node3(s28) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_15283,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node1(s56) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_15303,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node1(s70) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_15345,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node3(s24) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_15375,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node9(s68) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_15869,plain,
    ( ~ m_main_v_turn(s44,c_2)
    | ~ m_main_v_turn(s44,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_16015,plain,
    ( ~ m_main_v_turn(s56,c_2)
    | ~ m_main_v_turn(s56,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_16249,plain,
    ( m_main_v_state2(s21,c_c2)
    | ~ node3(s21) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_16265,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node3(s36) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_16536,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_2)
      | ~ m_main_v_state2(s103,c_t2)
      | ~ m_main_v_state1(s103,c_n1)
      | ~ node18(s103,X0) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_16537,plain,
    ( m_main_v_turn(s104,c_2)
    | ~ node18(s103,s104)
    | ~ m_main_v_state2(s103,c_t2)
    | ~ m_main_v_state1(s103,c_n1) ),
    inference(instantiation,[status(thm)],[c_16536]) ).

tcf(c_16843,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_6612]) ).

tcf(c_16845,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_6827]) ).

tcf(c_16847,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_6891]) ).

tcf(c_16849,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_6959]) ).

tcf(c_16851,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_7023]) ).

tcf(c_16853,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_7087]) ).

tcf(c_16855,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_7153]) ).

tcf(c_16857,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_7217]) ).

tcf(c_16859,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_7285]) ).

tcf(c_16861,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_7349]) ).

tcf(c_16863,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_7417]) ).

tcf(c_16865,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_7481]) ).

tcf(c_16867,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_7549]) ).

tcf(c_16869,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_7613]) ).

tcf(c_16871,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_7681]) ).

tcf(c_16873,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_7745]) ).

tcf(c_16875,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_7813]) ).

tcf(c_16877,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_7877]) ).

tcf(c_16879,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_7945]) ).

tcf(c_16881,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_8009]) ).

tcf(c_16883,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_8076]) ).

tcf(c_16885,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_8143]) ).

tcf(c_16887,plain,
    ( node5(s102)
    | node4(s102)
    | node3(s102)
    | node2(s102)
    | node1(s102)
    | m_main_v_state1(s103,c_n1)
    | ~ node7(s102,s103)
    | ~ m_main_v_state1(s102,c_c1) ),
    inference(instantiation,[status(thm)],[c_8211]) ).

tcf(c_16892,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_11369]) ).

tcf(c_16896,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_11439]) ).

tcf(c_16899,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_11474]) ).

tcf(c_16920,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node11(s54) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_16923,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node9(s59) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_16944,plain,
    ( ~ m_main_v_state2(s6,c_t2)
    | ~ m_main_v_state2(s6,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_16970,plain,
    ( m_main_v_state2(s102,c_n2)
    | ~ node13(s102,s103)
    | ~ m_main_v_state2(s103,c_n2) ),
    inference(instantiation,[status(thm)],[c_11653]) ).

tcf(c_17702,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_402]) ).

tcf(c_17730,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_402]) ).

tcf(c_18094,plain,
    ( m_main_v_turn(s88,c_2)
    | ~ node18(s87,s88)
    | ~ m_main_v_state2(s87,c_t2)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_402]) ).

tcf(c_18122,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_402]) ).

tcf(c_18246,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node5(s2) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_18293,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s7,X0)
      | ~ node13(s6,s7)
      | ~ m_main_v_state2(s6,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_18324,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s8,c_t1)
      | ~ node7(X0,s8)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_18394,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node8(s14) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_18395,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node5(s14) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_18396,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node4(s14) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_18410,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node4(s16) ),
    inference(instantiation,[status(thm)],[c_361]) ).

tcf(c_18445,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s20,c_t1)
      | ~ node7(X0,s20)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_18457,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s22,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s23,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_18498,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node1(s26) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18632,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s39,X0)
      | ~ node13(s38,s39)
      | ~ m_main_v_state2(s38,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_18633,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s38,X0)
      | ~ node13(s38,s39)
      | ~ m_main_v_state2(s39,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_18634,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node1(s38) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18645,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node1(s40) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18656,plain,
    ( m_main_v_state2(s42,c_c2)
    | ~ node3(s42) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_18668,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node3(s44) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_18681,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node5(s46) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_18699,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node3(s48) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_18709,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s51,X0)
      | ~ node13(s50,s51)
      | ~ m_main_v_state2(s50,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_18710,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s50,X0)
      | ~ node13(s50,s51)
      | ~ m_main_v_state2(s51,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_18711,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node1(s50) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18719,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node1(s52) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18765,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node1(s54) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18820,plain,
    ( m_main_v_state2(s58,c_c2)
    | ~ node3(s58) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_18834,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node1(s60) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18840,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s63,X0)
      | ~ node13(s62,s63)
      | ~ m_main_v_state2(s62,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_18841,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s62,X0)
      | ~ node13(s62,s63)
      | ~ m_main_v_state2(s63,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_18842,plain,
    ( m_main_v_state1(s62,c_n1)
    | ~ node1(s62) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18895,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node1(s68) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18926,plain,
    ( m_main_v_state2(s70,c_c2)
    | ~ node3(s70) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_18950,plain,
    ( m_main_v_turn(s72,c_1)
    | ~ node5(s72) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_18963,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s75,X0)
      | ~ node13(s74,s75)
      | ~ m_main_v_state2(s74,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_18964,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s74,X0)
      | ~ node13(s74,s75)
      | ~ m_main_v_state2(s75,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_18966,plain,
    ( m_main_v_state2(s74,c_c2)
    | ~ node3(s74) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_18974,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node3(s76) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_18981,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s79,X0)
      | ~ node13(s78,s79)
      | ~ m_main_v_state2(s78,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_18982,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s78,X0)
      | ~ node13(s78,s79)
      | ~ m_main_v_state2(s79,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_18983,plain,
    ( m_main_v_state1(s78,c_n1)
    | ~ node1(s78) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_18994,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node3(s80) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_19001,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s83,X0)
      | ~ node13(s82,s83)
      | ~ m_main_v_state2(s82,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_19002,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s82,X0)
      | ~ node13(s82,s83)
      | ~ m_main_v_state2(s83,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_19003,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node1(s82) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19014,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node1(s84) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19022,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node1(s86) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19043,plain,
    ( m_main_v_state2(s88,c_t2)
    | ~ node26(s88) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_19073,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node11(s90) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_19077,plain,
    ( m_main_v_state1(s90,c_t1)
    | ~ node8(s90) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_19078,plain,
    ( m_main_v_state1(s90,c_t1)
    | ~ node5(s90) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_19079,plain,
    ( m_main_v_state1(s90,c_t1)
    | ~ node4(s90) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_19086,plain,
    ( ~ m_main_v_turn(s92,c_2)
    | ~ m_main_v_turn(s92,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_19108,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node3(s92) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_19120,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s95,X0)
      | ~ node13(s94,s95)
      | ~ m_main_v_state2(s94,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_19121,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s94,X0)
      | ~ node13(s94,s95)
      | ~ m_main_v_state2(s95,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_19122,plain,
    ( m_main_v_state1(s94,c_n1)
    | ~ node1(s94) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19130,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node1(s96) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19137,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s98,X0)
      | ~ node13(s98,s99)
      | ~ m_main_v_state2(s99,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_19142,plain,
    ( m_main_v_state1(s98,c_t1)
    | ~ node5(s98) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_19172,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s100,c_t1)
      | ~ node7(X0,s100)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_19181,plain,
    ( m_main_v_state1(s102,c_n1)
    | ~ node11(s102) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_19186,plain,
    ( m_main_v_state1(s102,c_t1)
    | ~ node5(s102) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_19239,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s5,X0)
      | ~ node6(s4,s5)
      | ~ m_main_v_state1(s4,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_19259,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s13,X0)
      | ~ node6(s12,s13)
      | ~ m_main_v_state1(s12,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_19261,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s12,X0)
      | ~ node6(s12,s13)
      | ~ m_main_v_state1(s13,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_19269,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s25,X0)
      | ~ node6(s24,s25)
      | ~ m_main_v_state1(s24,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_19271,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s24,X0)
      | ~ node6(s24,s25)
      | ~ m_main_v_state1(s25,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_19477,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s101,X0)
      | ~ node6(s100,s101)
      | ~ m_main_v_state1(s100,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_19479,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s100,X0)
      | ~ node6(s100,s101)
      | ~ m_main_v_state1(s101,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_19547,plain,
    ( m_main_v_turn(s64,c_1)
    | ~ node5(s64) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_19720,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node11(s48) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_19748,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node3(s54) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_19792,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s21,X0)
      | ~ node6(s20,s21)
      | ~ m_main_v_state1(s20,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_19840,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node1(s42) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19841,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node1(s44) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19842,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node1(s80) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_19901,plain,
    ( m_main_v_state2(s100,c_t2)
    | ~ node5(s100) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_19903,plain,
    ( m_main_v_state2(s100,c_t2)
    | ~ node26(s100) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_20019,plain,
    ( m_main_v_state2(s7,c_t2)
    | ~ node13(s6,s7)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_18293]) ).

tcf(c_20333,plain,
    ( m_main_v_state2(s39,c_t2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_18632]) ).

tcf(c_20351,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s39,c_n2) ),
    inference(instantiation,[status(thm)],[c_18633]) ).

tcf(c_20461,plain,
    ( m_main_v_state2(s51,c_t2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_18709]) ).

tcf(c_20479,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s51,c_n2) ),
    inference(instantiation,[status(thm)],[c_18710]) ).

tcf(c_20483,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node12(s52) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_20487,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node26(s52) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_20496,plain,
    ( m_main_v_state2(s53,c_t2)
    | ~ node26(s53) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_20566,plain,
    ( m_main_v_state2(s60,c_t2)
    | ~ node5(s60) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_20568,plain,
    ( m_main_v_state2(s60,c_t2)
    | ~ node26(s60) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_20591,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node1(s61) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_20592,plain,
    ( m_main_v_state2(s61,c_t2)
    | ~ node26(s61) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_20598,plain,
    ( m_main_v_state2(s63,c_t2)
    | ~ node13(s62,s63)
    | ~ m_main_v_state2(s62,c_t2) ),
    inference(instantiation,[status(thm)],[c_18840]) ).

tcf(c_20616,plain,
    ( m_main_v_state2(s62,c_n2)
    | ~ node13(s62,s63)
    | ~ m_main_v_state2(s63,c_n2) ),
    inference(instantiation,[status(thm)],[c_18841]) ).

tcf(c_20627,plain,
    ( m_main_v_state2(s69,c_t2)
    | ~ node26(s69) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_20630,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node11(s72) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_20641,plain,
    ( m_main_v_state2(s38,c_c2)
    | ~ node3(s38) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_20642,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node2(s68) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_20661,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node5(s18) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_20663,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node5(s22) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_20664,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node5(s30) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_20703,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node9(s90) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_20711,plain,
    ( m_main_v_state1(s19,c_c1)
    | ~ node10(s19) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_20716,plain,
    ( m_main_v_state2(s85,c_t2)
    | ~ node15(s85) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_20758,plain,
    ( m_main_v_state2(s78,c_n2)
    | ~ node13(s78,s79)
    | ~ m_main_v_state2(s79,c_n2) ),
    inference(instantiation,[status(thm)],[c_18982]) ).

tcf(c_20760,plain,
    ( m_main_v_state2(s82,c_n2)
    | ~ node13(s82,s83)
    | ~ m_main_v_state2(s83,c_n2) ),
    inference(instantiation,[status(thm)],[c_19002]) ).

tcf(c_20888,plain,
    ( m_main_v_state2(s94,c_n2)
    | ~ node13(s94,s95)
    | ~ m_main_v_state2(s95,c_n2) ),
    inference(instantiation,[status(thm)],[c_19121]) ).

tcf(c_21014,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_18324]) ).

tcf(c_21017,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_18445]) ).

tcf(c_21231,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s15,c_t2)
      | ~ m_main_v_state1(s15,c_n1)
      | ~ node7(s15,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21263,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_367]) ).

tcf(c_21414,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s39,c_t2)
      | ~ m_main_v_state1(s39,c_n1)
      | ~ node7(s39,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21436,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s43,c_t2)
      | ~ m_main_v_state1(s43,c_n1)
      | ~ node7(s43,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21444,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s51,c_t2)
      | ~ m_main_v_state1(s51,c_n1)
      | ~ node7(s51,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21460,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s59,c_t2)
      | ~ m_main_v_state1(s59,c_n1)
      | ~ node7(s59,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21475,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s63,c_t2)
      | ~ m_main_v_state1(s63,c_n1)
      | ~ node7(s63,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_21486,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node10(s35) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_21539,plain,
    ( m_main_v_turn(s16,c_1)
    | ~ node5(s16) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_21541,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node5(s26) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_21598,plain,
    ( m_main_v_turn(s40,c_1)
    | ~ node5(s40) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_21640,plain,
    ( m_main_v_state1(s42,c_t1)
    | ~ node5(s42) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_21644,plain,
    ( m_main_v_turn(s44,c_1)
    | ~ node5(s44) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_21720,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node1(s48) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_21747,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node10(s27) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_21758,plain,
    ( m_main_v_state2(s50,c_c2)
    | ~ node3(s50) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_21794,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node3(s52) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_21827,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node3(s56) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_21830,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node5(s58) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_21875,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node3(s60) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_21893,plain,
    ( m_main_v_state2(s62,c_c2)
    | ~ node3(s62) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_21961,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s73,X0)
      | ~ node6(s72,s73)
      | ~ m_main_v_state1(s72,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_21963,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s72,X0)
      | ~ node6(s72,s73)
      | ~ m_main_v_state1(s73,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_22001,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node3(s72) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_22007,plain,
    ( m_main_v_state1(s68,c_n1)
    | ~ node3(s68) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_22014,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s75,c_t2)
      | ~ m_main_v_state1(s75,c_n1)
      | ~ node7(s75,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22019,plain,
    ( m_main_v_state1(s38,c_t1)
    | ~ node5(s38) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_22022,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node1(s64) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_22038,plain,
    ( ~ m_main_v_state2(s90,c_t2)
    | ~ m_main_v_state2(s90,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_22047,plain,
    ( ~ m_main_v_state2(s102,c_t2)
    | ~ m_main_v_state2(s102,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_22078,plain,
    ( m_main_v_state1(s74,c_n1)
    | ~ node1(s74) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_22109,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node1(s76) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_22160,plain,
    ( m_main_v_state2(s78,c_c2)
    | ~ node3(s78) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_22216,plain,
    ( m_main_v_state2(s75,c_t2)
    | ~ node13(s74,s75)
    | ~ m_main_v_state2(s74,c_t2) ),
    inference(instantiation,[status(thm)],[c_18963]) ).

tcf(c_22217,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node5(s80) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_22234,plain,
    ( m_main_v_state2(s79,c_t2)
    | ~ node13(s78,s79)
    | ~ m_main_v_state2(s78,c_t2) ),
    inference(instantiation,[status(thm)],[c_18981]) ).

tcf(c_22236,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s79,c_t2)
      | ~ m_main_v_state1(s79,c_n1)
      | ~ node7(s79,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22244,plain,
    ( m_main_v_state2(s83,c_t2)
    | ~ node13(s82,s83)
    | ~ m_main_v_state2(s82,c_t2) ),
    inference(instantiation,[status(thm)],[c_19001]) ).

tcf(c_22260,plain,
    ( m_main_v_state2(s95,c_t2)
    | ~ node13(s94,s95)
    | ~ m_main_v_state2(s94,c_t2) ),
    inference(instantiation,[status(thm)],[c_19120]) ).

tcf(c_22262,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s95,c_t2)
      | ~ m_main_v_state1(s95,c_n1)
      | ~ node7(s95,X0) ),
    inference(instantiation,[status(thm)],[c_367]) ).

tcf(c_22268,plain,
    ( m_main_v_state1(s82,c_t1)
    | ~ node5(s82) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_22312,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node3(s84) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_22336,plain,
    ( m_main_v_state1(s86,c_t1)
    | ~ node5(s86) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_22374,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s93,X0)
      | ~ node6(s92,s93)
      | ~ m_main_v_state1(s92,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_22431,plain,
    ( ~ m_main_v_state2(s15,c_t2)
    | ~ m_main_v_state2(s15,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_22473,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s17,X0)
      | ~ node6(s16,s17)
      | ~ m_main_v_state1(s16,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_22474,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s16,X0)
      | ~ node6(s16,s17)
      | ~ m_main_v_state1(s17,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_22476,plain,
    ( m_main_v_state1(s94,c_t1)
    | ~ node5(s94) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_22485,plain,
    ( m_main_v_state1(s100,c_t1)
    | ~ node7(s99,s100)
    | ~ m_main_v_state2(s99,c_t2)
    | ~ m_main_v_state1(s99,c_n1) ),
    inference(instantiation,[status(thm)],[c_19172]) ).

tcf(c_22492,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node3(s96) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_22661,plain,
    ( ~ m_main_v_state1(s8,c_t1)
    | ~ m_main_v_state1(s8,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_22784,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s29,X0)
      | ~ node6(s28,s29)
      | ~ m_main_v_state1(s28,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_22793,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s35,X0)
      | ~ node13(s34,s35)
      | ~ m_main_v_state2(s34,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_22795,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s34,X0)
      | ~ node13(s34,s35)
      | ~ m_main_v_state2(s35,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_22916,plain,
    ( m_main_v_state1(s98,c_n1)
    | ~ node11(s98) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_22933,plain,
    ( m_main_v_state1(s55,c_c1)
    | ~ node10(s55) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_23135,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_21231]) ).

tcf(c_23209,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_367]) ).

tcf(c_23213,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_367]) ).

tcf(c_23247,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_21263]) ).

tcf(c_23249,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_21414]) ).

tcf(c_23254,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_21436]) ).

tcf(c_23256,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_21444]) ).

tcf(c_23260,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_21460]) ).

tcf(c_23263,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_21475]) ).

tcf(c_23266,plain,
    ( m_main_v_state1(s7,c_c1)
    | ~ node10(s7) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_23335,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node10(s51) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_23654,plain,
    ( ~ m_main_v_state1(s84,c_t1)
    | ~ m_main_v_state1(s84,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_23656,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node2(s84) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_23706,plain,
    ( ~ m_main_v_state1(s92,c_t1)
    | ~ m_main_v_state1(s92,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_23791,plain,
    ( ~ m_main_v_state2(s18,c_t2)
    | ~ m_main_v_state2(s18,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_23860,plain,
    ( m_main_v_state1(s86,c_n1)
    | ~ node11(s86) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_23869,plain,
    ( m_main_v_state2(s99,c_n2)
    | ~ node10(s99) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_23874,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s11,X0)
      | ~ node13(s10,s11)
      | ~ m_main_v_state2(s10,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_23876,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s10,X0)
      | ~ node13(s10,s11)
      | ~ m_main_v_state2(s11,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_23894,plain,
    ( m_main_v_state2(s49,c_c2)
    | ~ node3(s49) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_23899,plain,
    ( m_main_v_state2(s71,c_n2)
    | ~ node9(s71) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_23909,plain,
    ( m_main_v_turn(s52,c_1)
    | ~ node5(s52) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_23934,plain,
    ( m_main_v_turn(s56,c_1)
    | ~ node5(s56) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_23979,plain,
    ( m_main_v_state1(s62,c_t1)
    | ~ node5(s62) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_23981,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node2(s64) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_23996,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node9(s82) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_24018,plain,
    ( m_main_v_turn(s76,c_1)
    | ~ node5(s76) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_24020,plain,
    ( m_main_v_state1(s78,c_t1)
    | ~ node5(s78) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_24177,plain,
    ( m_main_v_state2(s86,c_c2)
    | ~ node3(s86) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_24227,plain,
    ( ~ m_main_v_state1(s72,c_t1)
    | ~ m_main_v_state1(s72,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_24263,plain,
    ( ~ m_main_v_state1(s20,c_t1)
    | ~ m_main_v_state1(s20,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_24273,plain,
    ( ~ m_main_v_state2(s9,c_t2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24286,plain,
    ( ~ m_main_v_state2(s38,c_t2)
    | ~ m_main_v_state2(s38,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24290,plain,
    ( ~ m_main_v_state2(s42,c_t2)
    | ~ m_main_v_state2(s42,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24295,plain,
    ( ~ m_main_v_state2(s50,c_t2)
    | ~ m_main_v_state2(s50,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24300,plain,
    ( ~ m_main_v_state2(s58,c_t2)
    | ~ m_main_v_state2(s58,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24302,plain,
    ( ~ m_main_v_state2(s62,c_t2)
    | ~ m_main_v_state2(s62,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24303,plain,
    ( ~ m_main_v_state2(s66,c_t2)
    | ~ m_main_v_state2(s66,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24306,plain,
    ( ~ m_main_v_state2(s78,c_t2)
    | ~ m_main_v_state2(s78,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24310,plain,
    ( ~ m_main_v_state2(s82,c_t2)
    | ~ m_main_v_state2(s82,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24312,plain,
    ( ~ m_main_v_state2(s94,c_t2)
    | ~ m_main_v_state2(s94,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24314,plain,
    ( ~ m_main_v_state2(s98,c_t2)
    | ~ m_main_v_state2(s98,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_24342,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node11(s58) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_24356,plain,
    ( m_main_v_state1(s100,c_n1)
    | ~ node3(s100) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_24694,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node2(s52) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_24698,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node2(s80) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_24751,plain,
    ( m_main_v_state1(s60,c_n1)
    | ~ node2(s60) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_24999,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node9(s44) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_25016,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node10(s43) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_25047,plain,
    ( m_main_v_state1(s100,c_c1)
    | ~ node10(s100) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_25053,plain,
    ( m_main_v_state2(s74,c_n2)
    | ~ node13(s74,s75)
    | ~ m_main_v_state2(s75,c_n2) ),
    inference(instantiation,[status(thm)],[c_18964]) ).

tcf(c_25054,plain,
    ( m_main_v_state1(s84,c_n1)
    | ~ node9(s84) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_25084,plain,
    ( ~ m_main_v_state2(s54,c_t2)
    | ~ m_main_v_state2(s54,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_25174,plain,
    ( ~ m_main_v_state2(s46,c_t2)
    | ~ m_main_v_state2(s46,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_25176,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node11(s46) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_25246,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node1(s46) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_25376,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node12(s56) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_25399,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node9(s88) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_25470,plain,
    ( ~ m_main_v_turn(s68,c_2)
    | ~ m_main_v_turn(s68,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_25482,plain,
    ( ~ m_main_v_turn(s88,c_2)
    | ~ m_main_v_turn(s88,c_1) ),
    inference(instantiation,[status(thm)],[c_350]) ).

tcf(c_25494,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node9(s24) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_25576,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s45,X0)
      | ~ node6(s44,s45)
      | ~ m_main_v_state1(s44,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_25578,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s44,X0)
      | ~ node6(s44,s45)
      | ~ m_main_v_state1(s45,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_25580,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s49,X0)
      | ~ node6(s48,s49)
      | ~ m_main_v_state1(s48,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_25596,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node2(s54) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_25642,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node2(s56) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_25651,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_22236]) ).

tcf(c_25666,plain,
    ( m_main_v_state2(s35,c_t2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_22793]) ).

tcf(c_25697,plain,
    ( m_main_v_state1(s74,c_t1)
    | ~ node5(s74) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_25724,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s11,c_n2) ),
    inference(instantiation,[status(thm)],[c_23876]) ).

tcf(c_25760,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s81,X0)
      | ~ node6(s80,s81)
      | ~ m_main_v_state1(s80,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_25762,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s80,X0)
      | ~ node6(s80,s81)
      | ~ m_main_v_state1(s81,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_25764,plain,
    ( m_main_v_state1(s82,c_t1)
    | ~ node4(s82) ),
    inference(instantiation,[status(thm)],[c_360]) ).

tcf(c_25817,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s89,X0)
      | ~ node6(s88,s89)
      | ~ m_main_v_state1(s88,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_25819,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s88,X0)
      | ~ node6(s88,s89)
      | ~ m_main_v_state1(s89,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_25826,plain,
    ( m_main_v_state2(s93,c_c2)
    | ~ node3(s93) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_25863,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s67,X0)
      | ~ node13(s66,s67)
      | ~ m_main_v_state2(s66,X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

tcf(c_25865,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s66,X0)
      | ~ node13(s66,s67)
      | ~ m_main_v_state2(s67,X0) ),
    inference(instantiation,[status(thm)],[c_387]) ).

tcf(c_25877,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node1(s72) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_25901,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node1(s90) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_25915,plain,
    ( ~ m_main_v_state1(s96,c_t1)
    | ~ m_main_v_state1(s96,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_25921,plain,
    ( m_main_v_state2(s98,c_c2)
    | ~ node3(s98) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_25929,plain,
    ( m_main_v_state2(s102,c_c2)
    | ~ node3(s102) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_25942,plain,
    ( m_main_v_state2(s26,c_c2)
    | ~ node3(s26) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_25969,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node1(s92) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_25978,plain,
    ( m_main_v_state1(s20,c_c1)
    | ~ node10(s20) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_25990,plain,
    ( ~ m_main_v_state1(s68,c_t1)
    | ~ m_main_v_state1(s68,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_26013,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node1(s30) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_26021,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node10(s47) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_26123,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node10(s39) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_26146,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node11(s42) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_26217,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node9(s64) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_26249,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node10(s79) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_26287,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node9(s95) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_26289,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_22262]) ).

tcf(c_26324,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node3(s40) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_26346,plain,
    ( m_main_v_state1(s60,c_c1)
    | ~ node10(s60) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_26350,plain,
    ( m_main_v_state2(s94,c_c2)
    | ~ node3(s94) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_26386,plain,
    ( ~ m_main_v_state1(s52,c_t1)
    | ~ m_main_v_state1(s52,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_26422,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s37,X0)
      | ~ node6(s36,s37)
      | ~ m_main_v_state1(s36,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_26423,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s36,X0)
      | ~ node6(s36,s37)
      | ~ m_main_v_state1(s37,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_26457,plain,
    ( m_main_v_state1(s15,c_c1)
    | ~ node10(s15) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_26467,plain,
    ( m_main_v_state2(s63,c_n2)
    | ~ node10(s63) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_26502,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node11(s34) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_26692,plain,
    ( m_main_v_state1(s5,c_t1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_19239]) ).

tcf(c_26707,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s13,c_n1) ),
    inference(instantiation,[status(thm)],[c_19261]) ).

tcf(c_26729,plain,
    ( m_main_v_state2(s33,c_c2)
    | ~ node3(s33) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_26932,plain,
    ( m_main_v_state1(s101,c_t1)
    | ~ node6(s100,s101)
    | ~ m_main_v_state1(s100,c_t1) ),
    inference(instantiation,[status(thm)],[c_19477]) ).

tcf(c_26964,plain,
    ( m_main_v_state1(s21,c_t1)
    | ~ node6(s20,s21)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_19792]) ).

tcf(c_27054,plain,
    ( m_main_v_state1(s6,c_t1)
    | ~ node5(s6) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_27071,plain,
    ( m_main_v_state1(s73,c_t1)
    | ~ node6(s72,s73)
    | ~ m_main_v_state1(s72,c_t1) ),
    inference(instantiation,[status(thm)],[c_21961]) ).

tcf(c_27108,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s97,X0)
      | ~ node6(s96,s97)
      | ~ m_main_v_state1(s96,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_27110,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s96,X0)
      | ~ node6(s96,s97)
      | ~ m_main_v_state1(s97,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_27114,plain,
    ( m_main_v_state1(s29,c_t1)
    | ~ node6(s28,s29)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_22784]) ).

tcf(c_27175,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s2)
      | ~ trans(s2,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_27321,plain,
    ( m_main_v_state1(s56,c_c1)
    | ~ node10(s56) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_27355,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s52,X0)
      | ~ node6(s52,s53)
      | ~ m_main_v_state1(s53,X0) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_27423,plain,
    ( m_main_v_state2(s95,c_n2)
    | ~ node10(s95) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_27496,plain,
    ( m_main_v_state2(s75,c_n2)
    | ~ node10(s75) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_27566,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node9(s47) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_27580,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node9(s39) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_27600,plain,
    ( m_main_v_state2(s64,c_t2)
    | ~ node12(s64) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_27610,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s41,X0)
      | ~ node6(s40,s41)
      | ~ m_main_v_state1(s40,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_27645,plain,
    ( m_main_v_state1(s64,c_n1)
    | ~ node3(s64) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_27795,plain,
    ( m_main_v_state2(s67,c_t2)
    | ~ node13(s66,s67)
    | ~ m_main_v_state2(s66,c_t2) ),
    inference(instantiation,[status(thm)],[c_25863]) ).

tcf(c_27864,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node11(s92) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_27892,plain,
    ( ~ m_main_v_state2(s33,c_t2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_27896,plain,
    ( m_main_v_state2(s46,c_c2)
    | ~ node3(s46) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_27898,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node5(s54) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_27970,plain,
    ( m_main_v_state1(s68,c_c1)
    | ~ node10(s68) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_27981,plain,
    ( m_main_v_state2(s11,c_t2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_23874]) ).

tcf(c_28044,plain,
    ( m_main_v_state1(s100,c_n1)
    | ~ node6(s100,s101)
    | ~ m_main_v_state1(s101,c_n1) ),
    inference(instantiation,[status(thm)],[c_19479]) ).

tcf(c_28115,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s9,X0)
      | ~ node6(s8,s9)
      | ~ m_main_v_state1(s8,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_28130,plain,
    ( ~ m_main_v_state1(s12,c_t1)
    | ~ m_main_v_state1(s12,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_28186,plain,
    ( m_main_v_state2(s87,c_n2)
    | ~ node10(s87) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_28273,plain,
    ( m_main_v_state2(s30,c_c2)
    | ~ node3(s30) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_28299,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node2(s44) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_28326,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node9(s56) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_28338,plain,
    ( m_main_v_state1(s76,c_n1)
    | ~ node2(s76) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_28365,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node5(s84) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_28580,plain,
    ( m_main_v_state1(s66,c_n1)
    | ~ node1(s66) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_28693,plain,
    ( m_main_v_state2(s6,c_c2)
    | ~ node3(s6) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_28724,plain,
    ( m_main_v_state1(s93,c_t1)
    | ~ node6(s92,s93)
    | ~ m_main_v_state1(s92,c_t1) ),
    inference(instantiation,[status(thm)],[c_22374]) ).

tcf(c_28754,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node1(s34) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_28778,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node3(s32) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_28782,plain,
    ( m_main_v_turn(s88,c_1)
    | ~ node5(s88) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_28974,plain,
    ( m_main_v_state1(s45,c_t1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_25576]) ).

tcf(c_28977,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s45,c_n1) ),
    inference(instantiation,[status(thm)],[c_25578]) ).

tcf(c_28980,plain,
    ( m_main_v_state1(s49,c_t1)
    | ~ node6(s48,s49)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_25580]) ).

tcf(c_28993,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node6(s80,s81)
    | ~ m_main_v_state1(s81,c_n1) ),
    inference(instantiation,[status(thm)],[c_25762]) ).

tcf(c_29000,plain,
    ( ~ m_main_v_state2(s86,c_t2)
    | ~ m_main_v_state2(s86,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_29029,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node6(s88,s89)
    | ~ m_main_v_state1(s89,c_n1) ),
    inference(instantiation,[status(thm)],[c_25819]) ).

tcf(c_29154,plain,
    ( m_main_v_state1(s37,c_t1)
    | ~ node6(s36,s37)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_26422]) ).

tcf(c_29157,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node6(s36,s37)
    | ~ m_main_v_state1(s37,c_n1) ),
    inference(instantiation,[status(thm)],[c_26423]) ).

tcf(c_29161,plain,
    ( m_main_v_state1(s97,c_t1)
    | ~ node6(s96,s97)
    | ~ m_main_v_state1(s96,c_t1) ),
    inference(instantiation,[status(thm)],[c_27108]) ).

tcf(c_29165,plain,
    ( always25(s3)
    | ~ always25(s2)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_27175]) ).

tcf(c_29199,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node2(s28) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_29219,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node12(s30) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_29223,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node10(s31) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_29245,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node12(s84) ),
    inference(instantiation,[status(thm)],[c_383]) ).

tcf(c_29354,plain,
    ( m_main_v_state2(s75,c_n2)
    | ~ node9(s75) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_29407,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node2(s40) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_29432,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node9(s52) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_29459,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node12(s10) ),
    inference(instantiation,[status(thm)],[c_384]) ).

tcf(c_29492,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node9(s48) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_29507,plain,
    ( m_main_v_state1(s32,c_c1)
    | ~ node10(s32) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_29514,plain,
    ( m_main_v_state2(s66,c_n2)
    | ~ node13(s66,s67)
    | ~ m_main_v_state2(s67,c_n2) ),
    inference(instantiation,[status(thm)],[c_25865]) ).

tcf(c_29554,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node1(s36) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_29559,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s35,c_n2) ),
    inference(instantiation,[status(thm)],[c_22795]) ).

tcf(c_29825,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node5(s50) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_29838,plain,
    ( m_main_v_turn(s68,c_1)
    | ~ node5(s68) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_29889,plain,
    ( m_main_v_state2(s71,c_n2)
    | ~ node10(s71) ),
    inference(instantiation,[status(thm)],[c_379]) ).

tcf(c_29906,plain,
    ( m_main_v_state1(s25,c_t1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_19269]) ).

tcf(c_29907,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node2(s24) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_29917,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s25,c_n1) ),
    inference(instantiation,[status(thm)],[c_19271]) ).

tcf(c_29959,plain,
    ( ~ m_main_v_state1(s76,c_t1)
    | ~ m_main_v_state1(s76,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_29968,plain,
    ( m_main_v_state1(s13,c_t1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_19259]) ).

tcf(c_30033,plain,
    ( ~ m_main_v_state1(s56,c_t1)
    | ~ m_main_v_state1(s56,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_30140,plain,
    ( m_main_v_state1(s96,c_c1)
    | ~ node10(s96) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_30274,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node2(s32) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_30553,plain,
    ( m_main_v_turn(s92,c_1)
    | ~ node5(s92) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_30787,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node2(s48) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_30798,plain,
    ( m_main_v_state2(s85,c_t2)
    | ~ node1(s85) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_30877,plain,
    ( m_main_v_state1(s81,c_t1)
    | ~ node6(s80,s81)
    | ~ m_main_v_state1(s80,c_t1) ),
    inference(instantiation,[status(thm)],[c_25760]) ).

tcf(c_30882,plain,
    ( m_main_v_state2(s79,c_n2)
    | ~ node9(s79) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_30997,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node6(s96,s97)
    | ~ m_main_v_state1(s97,c_n1) ),
    inference(instantiation,[status(thm)],[c_27110]) ).

tcf(c_31011,plain,
    ( m_main_v_state1(s100,c_n1)
    | ~ node9(s100) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_31079,plain,
    ( m_main_v_turn(s36,c_1)
    | ~ node5(s36) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_31091,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node5(s96) ),
    inference(instantiation,[status(thm)],[c_363]) ).

tcf(c_31203,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s53,c_n1) ),
    inference(instantiation,[status(thm)],[c_27355]) ).

tcf(c_31242,plain,
    ( m_main_v_state1(s41,c_t1)
    | ~ node6(s40,s41)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_27610]) ).

tcf(c_31280,plain,
    ( m_main_v_state1(s9,c_t1)
    | ~ node6(s8,s9)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_28115]) ).

tcf(c_31338,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node1(s88) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_31485,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node9(s19) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_31604,plain,
    ( ~ m_main_v_state2(s70,c_t2)
    | ~ m_main_v_state2(s70,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_31773,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node9(s43) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_32413,plain,
    ( m_main_v_state1(s83,c_c1)
    | ~ node10(s83) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_32432,plain,
    ( m_main_v_state2(s98,c_n2)
    | ~ node13(s98,s99)
    | ~ m_main_v_state2(s99,c_n2) ),
    inference(instantiation,[status(thm)],[c_19137]) ).

tcf(c_32443,plain,
    ( m_main_v_state2(s103,c_n2)
    | ~ node8(s103) ),
    inference(instantiation,[status(thm)],[c_375]) ).

tcf(c_32533,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node9(s28) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_32542,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node9(s36) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_32608,plain,
    ( m_main_v_turn(s20,c_1)
    | ~ node5(s20) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_32621,plain,
    ( m_main_v_state1(s89,c_t1)
    | ~ node6(s88,s89)
    | ~ m_main_v_state1(s88,c_t1) ),
    inference(instantiation,[status(thm)],[c_25817]) ).

tcf(c_32623,plain,
    ( m_main_v_state1(s88,c_n1)
    | ~ node2(s88) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_32734,plain,
    ( m_main_v_state1(s48,c_c1)
    | ~ node10(s48) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_32745,plain,
    ( m_main_v_state2(s67,c_n2)
    | ~ node9(s67) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_33372,plain,
    ( ~ m_main_v_state1(s40,c_t1)
    | ~ m_main_v_state1(s40,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_33454,plain,
    ( m_main_v_state1(s17,c_t1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_22473]) ).

tcf(c_33462,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s17,c_n1) ),
    inference(instantiation,[status(thm)],[c_22474]) ).

tcf(c_33481,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s23,c_n2) ),
    inference(instantiation,[status(thm)],[c_18457]) ).

tcf(c_33519,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node6(s72,s73)
    | ~ m_main_v_state1(s73,c_n1) ),
    inference(instantiation,[status(thm)],[c_21963]) ).

tcf(c_33560,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_22014]) ).

tcf(c_33614,plain,
    ( m_main_v_state1(s88,c_c1)
    | ~ node10(s88) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_33692,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node9(s96) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_33738,plain,
    ( m_main_v_state1(s80,c_n1)
    | ~ node9(s80) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_34805,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_367]) ).

tcf(c_34833,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_367]) ).

tcf(c_34982,plain,
    ( ~ m_main_v_state1(s4,c_t1)
    | ~ m_main_v_state1(s4,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_35161,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node11(s30) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_35448,plain,
    ( m_main_v_state2(s77,c_t2)
    | ~ node1(s77) ),
    inference(instantiation,[status(thm)],[c_355]) ).

tcf(c_35449,plain,
    ( m_main_v_state2(s77,c_t2)
    | ~ node26(s77) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_35992,plain,
    ( m_main_v_state1(s84,c_c1)
    | ~ node10(s84) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_36143,plain,
    ( ~ m_main_v_state1(s5,c_t1)
    | ~ m_main_v_state1(s5,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_36186,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node9(s31) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_36249,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node9(s54) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_36254,plain,
    ( m_main_v_state2(s57,c_t2)
    | ~ node15(s57) ),
    inference(instantiation,[status(thm)],[c_397]) ).

tcf(c_36259,plain,
    ( m_main_v_state2(s57,c_t2)
    | ~ node26(s57) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_36276,plain,
    ( m_main_v_state1(s52,c_c1)
    | ~ node10(s52) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_36303,plain,
    ( m_main_v_state2(s65,c_t2)
    | ~ node26(s65) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_36374,plain,
    ( ~ m_main_v_state1(s80,c_t1)
    | ~ m_main_v_state1(s80,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_36385,plain,
    ( m_main_v_state2(s83,c_n2)
    | ~ node9(s83) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_36402,plain,
    ( m_main_v_state1(s90,c_n1)
    | ~ node3(s90) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_36781,plain,
    ( m_main_v_state2(s64,c_t2)
    | ~ node26(s64) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_36803,plain,
    ( m_main_v_state2(s72,c_t2)
    | ~ node26(s72) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_36838,plain,
    ( m_main_v_state2(s73,c_t2)
    | ~ node26(s73) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_36888,plain,
    ( m_main_v_state2(s101,c_t2)
    | ~ node26(s101) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_36900,plain,
    ( m_main_v_state1(s80,c_c1)
    | ~ node10(s80) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_36934,plain,
    ( m_main_v_state2(s89,c_t2)
    | ~ node26(s89) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_37080,plain,
    ( m_main_v_turn(s24,c_1)
    | ~ node5(s24) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_37086,plain,
    ( m_main_v_state1(s24,c_c1)
    | ~ node10(s24) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37100,plain,
    ( m_main_v_state1(s28,c_c1)
    | ~ node10(s28) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37253,plain,
    ( m_main_v_state1(s76,c_c1)
    | ~ node10(s76) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37352,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node9(s7) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_37444,plain,
    ( m_main_v_state1(s36,c_c1)
    | ~ node10(s36) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37457,plain,
    ( m_main_v_state1(s40,c_c1)
    | ~ node10(s40) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37470,plain,
    ( m_main_v_state1(s44,c_c1)
    | ~ node10(s44) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37525,plain,
    ( m_main_v_state1(s64,c_c1)
    | ~ node10(s64) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_37728,plain,
    ( ~ m_main_v_state1(s44,c_t1)
    | ~ m_main_v_state1(s44,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_37729,plain,
    ( ~ m_main_v_state1(s48,c_t1)
    | ~ m_main_v_state1(s48,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_37732,plain,
    ( ~ m_main_v_state1(s60,c_t1)
    | ~ m_main_v_state1(s60,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_37733,plain,
    ( ~ m_main_v_state1(s64,c_t1)
    | ~ m_main_v_state1(s64,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_37741,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node8(s54) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_38257,plain,
    ( m_main_v_turn(s32,c_1)
    | ~ node5(s32) ),
    inference(instantiation,[status(thm)],[c_364]) ).

tcf(c_38565,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node5(s10) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_38586,plain,
    ( m_main_v_state2(s66,c_c2)
    | ~ node3(s66) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_38857,plain,
    ( ~ m_main_v_state1(s100,c_t1)
    | ~ m_main_v_state1(s100,c_n1) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_38948,plain,
    ( m_main_v_state1(s34,c_t1)
    | ~ node5(s34) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_39782,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s33,X0)
      | ~ node6(s32,s33)
      | ~ m_main_v_state1(s32,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_40129,plain,
    ( m_main_v_state2(s85,c_c2)
    | ~ node3(s85) ),
    inference(instantiation,[status(thm)],[c_359]) ).

tcf(c_40420,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node3(s82) ),
    inference(instantiation,[status(thm)],[c_358]) ).

tcf(c_40423,plain,
    ( m_main_v_state1(s82,c_t1)
    | ~ node8(s82) ),
    inference(instantiation,[status(thm)],[c_376]) ).

tcf(c_40565,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node2(s36) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_40633,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node9(s40) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_41081,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s57,X0)
      | ~ node6(s56,s57)
      | ~ m_main_v_state1(s56,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_41104,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s61,X0)
      | ~ node6(s60,s61)
      | ~ m_main_v_state1(s60,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_41143,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s69,X0)
      | ~ node6(s68,s69)
      | ~ m_main_v_state1(s68,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_41149,plain,
    ( m_main_v_state1(s72,c_c1)
    | ~ node10(s72) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_41185,plain,
    ( m_main_v_state1(s82,c_n1)
    | ~ node2(s82) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_41196,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s85,X0)
      | ~ node6(s84,s85)
      | ~ m_main_v_state1(s84,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_41347,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s77,X0)
      | ~ node6(s76,s77)
      | ~ m_main_v_state1(s76,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_41398,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s65,X0)
      | ~ node6(s64,s65)
      | ~ m_main_v_state1(s64,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_41452,plain,
    ( m_main_v_state1(s70,c_n1)
    | ~ node11(s70) ),
    inference(instantiation,[status(thm)],[c_382]) ).

tcf(c_41454,plain,
    ( m_main_v_state1(s72,c_n1)
    | ~ node2(s72) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_43487,plain,
    ( m_main_v_state1(s33,c_t1)
    | ~ node6(s32,s33)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_39782]) ).

tcf(c_43594,plain,
    ( m_main_v_state1(s57,c_t1)
    | ~ node6(s56,s57)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_41081]) ).

tcf(c_43612,plain,
    ( m_main_v_state1(s61,c_t1)
    | ~ node6(s60,s61)
    | ~ m_main_v_state1(s60,c_t1) ),
    inference(instantiation,[status(thm)],[c_41104]) ).

tcf(c_43630,plain,
    ( m_main_v_state1(s69,c_t1)
    | ~ node6(s68,s69)
    | ~ m_main_v_state1(s68,c_t1) ),
    inference(instantiation,[status(thm)],[c_41143]) ).

tcf(c_43636,plain,
    ( m_main_v_state1(s85,c_t1)
    | ~ node6(s84,s85)
    | ~ m_main_v_state1(s84,c_t1) ),
    inference(instantiation,[status(thm)],[c_41196]) ).

tcf(c_43725,plain,
    ( m_main_v_state1(s77,c_t1)
    | ~ node6(s76,s77)
    | ~ m_main_v_state1(s76,c_t1) ),
    inference(instantiation,[status(thm)],[c_41347]) ).

tcf(c_43749,plain,
    ( m_main_v_state1(s65,c_t1)
    | ~ node6(s64,s65)
    | ~ m_main_v_state1(s64,c_t1) ),
    inference(instantiation,[status(thm)],[c_41398]) ).

tcf(c_44726,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node2(s92) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_44967,plain,
    ( m_main_v_state1(s92,c_c1)
    | ~ node10(s92) ),
    inference(instantiation,[status(thm)],[c_380]) ).

tcf(c_45355,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node9(s51) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_45705,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node1(s58) ),
    inference(instantiation,[status(thm)],[c_354]) ).

tcf(c_45805,plain,
    ( m_main_v_state1(s70,c_t1)
    | ~ node5(s70) ),
    inference(instantiation,[status(thm)],[c_362]) ).

tcf(c_45969,plain,
    ( m_main_v_state1(s92,c_n1)
    | ~ node9(s92) ),
    inference(instantiation,[status(thm)],[c_378]) ).

tcf(c_45983,plain,
    ( m_main_v_state1(s96,c_n1)
    | ~ node2(s96) ),
    inference(instantiation,[status(thm)],[c_356]) ).

tcf(c_46206,plain,
    ( ~ m_main_v_state2(s74,c_t2)
    | ~ m_main_v_state2(s74,c_n2) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_46941,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s53,X0)
      | ~ node6(s52,s53)
      | ~ m_main_v_state1(s52,X0) ),
    inference(instantiation,[status(thm)],[c_365]) ).

tcf(c_47272,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s3)
      | ~ trans(s3,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_47716,plain,
    ( m_main_v_state1(s53,c_t1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_46941]) ).

tcf(c_47726,plain,
    ( always25(s4)
    | ~ always25(s3)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_47272]) ).

tcf(c_47868,plain,
    ( m_main_v_state2(s63,c_n2)
    | ~ node9(s63) ),
    inference(instantiation,[status(thm)],[c_377]) ).

tcf(c_47986,plain,
    ( ~ always25(s4)
    | ~ m_main_v_state2(s4,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_49671,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s1)
      | ~ trans(s1,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_49791,plain,
    ( always25(s2)
    | ~ always25(s1)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_49671]) ).

tcf(c_49803,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s2)
      | ~ succ(s2,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49807,plain,
    ( until27(s3)
    | ~ xuntil28(s2)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_49803]) ).

tcf(c_49808,plain,
    ( xuntil28(s3)
    | node26(s3)
    | ~ until27(s3) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49810,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s3)
      | ~ succ(s3,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49814,plain,
    ( until27(s4)
    | ~ xuntil28(s3)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_49810]) ).

tcf(c_49815,plain,
    ( xuntil28(s4)
    | node26(s4)
    | ~ until27(s4) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49817,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49821,plain,
    ( until27(s5)
    | ~ xuntil28(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_49817]) ).

tcf(c_49822,plain,
    ( xuntil28(s5)
    | node26(s5)
    | ~ until27(s5) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49824,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49828,plain,
    ( until27(s6)
    | ~ xuntil28(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_49824]) ).

tcf(c_49829,plain,
    ( xuntil28(s6)
    | node26(s6)
    | ~ until27(s6) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49831,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49835,plain,
    ( until27(s7)
    | ~ xuntil28(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_49831]) ).

tcf(c_49836,plain,
    ( xuntil28(s7)
    | node26(s7)
    | ~ until27(s7) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49838,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49842,plain,
    ( until27(s8)
    | ~ xuntil28(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_49838]) ).

tcf(c_49843,plain,
    ( xuntil28(s8)
    | node26(s8)
    | ~ until27(s8) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49845,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49849,plain,
    ( until27(s9)
    | ~ xuntil28(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_49845]) ).

tcf(c_49850,plain,
    ( xuntil28(s9)
    | node26(s9)
    | ~ until27(s9) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49852,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49856,plain,
    ( until27(s10)
    | ~ xuntil28(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_49852]) ).

tcf(c_49857,plain,
    ( xuntil28(s10)
    | node26(s10)
    | ~ until27(s10) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49859,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49863,plain,
    ( until27(s11)
    | ~ xuntil28(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_49859]) ).

tcf(c_49864,plain,
    ( xuntil28(s11)
    | node26(s11)
    | ~ until27(s11) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49866,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49870,plain,
    ( until27(s12)
    | ~ xuntil28(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_49866]) ).

tcf(c_49871,plain,
    ( xuntil28(s12)
    | node26(s12)
    | ~ until27(s12) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49873,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49877,plain,
    ( until27(s13)
    | ~ xuntil28(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_49873]) ).

tcf(c_49878,plain,
    ( xuntil28(s13)
    | node26(s13)
    | ~ until27(s13) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49880,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49884,plain,
    ( until27(s14)
    | ~ xuntil28(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_49880]) ).

tcf(c_49885,plain,
    ( xuntil28(s14)
    | node26(s14)
    | ~ until27(s14) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49887,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49891,plain,
    ( until27(s15)
    | ~ xuntil28(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_49887]) ).

tcf(c_49892,plain,
    ( xuntil28(s15)
    | node26(s15)
    | ~ until27(s15) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49894,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49898,plain,
    ( until27(s16)
    | ~ xuntil28(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_49894]) ).

tcf(c_49899,plain,
    ( xuntil28(s16)
    | node26(s16)
    | ~ until27(s16) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49901,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49905,plain,
    ( until27(s17)
    | ~ xuntil28(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_49901]) ).

tcf(c_49906,plain,
    ( xuntil28(s17)
    | node26(s17)
    | ~ until27(s17) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49908,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49912,plain,
    ( until27(s18)
    | ~ xuntil28(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_49908]) ).

tcf(c_49913,plain,
    ( xuntil28(s18)
    | node26(s18)
    | ~ until27(s18) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49915,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49919,plain,
    ( until27(s19)
    | ~ xuntil28(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_49915]) ).

tcf(c_49920,plain,
    ( xuntil28(s19)
    | node26(s19)
    | ~ until27(s19) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49922,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49926,plain,
    ( until27(s20)
    | ~ xuntil28(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_49922]) ).

tcf(c_49927,plain,
    ( xuntil28(s20)
    | node26(s20)
    | ~ until27(s20) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49929,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49933,plain,
    ( until27(s21)
    | ~ xuntil28(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_49929]) ).

tcf(c_49934,plain,
    ( xuntil28(s21)
    | node26(s21)
    | ~ until27(s21) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49936,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49940,plain,
    ( until27(s22)
    | ~ xuntil28(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_49936]) ).

tcf(c_49941,plain,
    ( xuntil28(s22)
    | node26(s22)
    | ~ until27(s22) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49943,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49947,plain,
    ( until27(s23)
    | ~ xuntil28(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_49943]) ).

tcf(c_49948,plain,
    ( xuntil28(s23)
    | node26(s23)
    | ~ until27(s23) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49950,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49954,plain,
    ( until27(s24)
    | ~ xuntil28(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_49950]) ).

tcf(c_49955,plain,
    ( xuntil28(s24)
    | node26(s24)
    | ~ until27(s24) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49957,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49961,plain,
    ( until27(s25)
    | ~ xuntil28(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_49957]) ).

tcf(c_49962,plain,
    ( xuntil28(s25)
    | node26(s25)
    | ~ until27(s25) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49964,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49968,plain,
    ( until27(s26)
    | ~ xuntil28(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_49964]) ).

tcf(c_49969,plain,
    ( xuntil28(s26)
    | node26(s26)
    | ~ until27(s26) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49971,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49975,plain,
    ( until27(s27)
    | ~ xuntil28(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_49971]) ).

tcf(c_49976,plain,
    ( xuntil28(s27)
    | node26(s27)
    | ~ until27(s27) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49978,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49982,plain,
    ( until27(s28)
    | ~ xuntil28(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_49978]) ).

tcf(c_49983,plain,
    ( xuntil28(s28)
    | node26(s28)
    | ~ until27(s28) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49985,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49989,plain,
    ( until27(s29)
    | ~ xuntil28(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_49985]) ).

tcf(c_49990,plain,
    ( xuntil28(s29)
    | node26(s29)
    | ~ until27(s29) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49992,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_49996,plain,
    ( until27(s30)
    | ~ xuntil28(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_49992]) ).

tcf(c_49997,plain,
    ( xuntil28(s30)
    | node26(s30)
    | ~ until27(s30) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_49999,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50003,plain,
    ( until27(s31)
    | ~ xuntil28(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_49999]) ).

tcf(c_50004,plain,
    ( xuntil28(s31)
    | node26(s31)
    | ~ until27(s31) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50006,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50010,plain,
    ( until27(s32)
    | ~ xuntil28(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_50006]) ).

tcf(c_50011,plain,
    ( xuntil28(s32)
    | node26(s32)
    | ~ until27(s32) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50013,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50017,plain,
    ( until27(s33)
    | ~ xuntil28(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_50013]) ).

tcf(c_50018,plain,
    ( xuntil28(s33)
    | node26(s33)
    | ~ until27(s33) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50020,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50024,plain,
    ( until27(s34)
    | ~ xuntil28(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_50020]) ).

tcf(c_50025,plain,
    ( xuntil28(s34)
    | node26(s34)
    | ~ until27(s34) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50027,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50031,plain,
    ( until27(s35)
    | ~ xuntil28(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_50027]) ).

tcf(c_50032,plain,
    ( xuntil28(s35)
    | node26(s35)
    | ~ until27(s35) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50034,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50038,plain,
    ( until27(s36)
    | ~ xuntil28(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_50034]) ).

tcf(c_50039,plain,
    ( xuntil28(s36)
    | node26(s36)
    | ~ until27(s36) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50041,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50045,plain,
    ( until27(s37)
    | ~ xuntil28(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_50041]) ).

tcf(c_50046,plain,
    ( xuntil28(s37)
    | node26(s37)
    | ~ until27(s37) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50048,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50052,plain,
    ( until27(s38)
    | ~ xuntil28(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_50048]) ).

tcf(c_50053,plain,
    ( xuntil28(s38)
    | node26(s38)
    | ~ until27(s38) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50055,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50059,plain,
    ( until27(s39)
    | ~ xuntil28(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_50055]) ).

tcf(c_50060,plain,
    ( xuntil28(s39)
    | node26(s39)
    | ~ until27(s39) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50062,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50066,plain,
    ( until27(s40)
    | ~ xuntil28(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_50062]) ).

tcf(c_50067,plain,
    ( xuntil28(s40)
    | node26(s40)
    | ~ until27(s40) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50069,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50073,plain,
    ( until27(s41)
    | ~ xuntil28(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_50069]) ).

tcf(c_50074,plain,
    ( xuntil28(s41)
    | node26(s41)
    | ~ until27(s41) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50076,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50080,plain,
    ( until27(s42)
    | ~ xuntil28(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_50076]) ).

tcf(c_50081,plain,
    ( xuntil28(s42)
    | node26(s42)
    | ~ until27(s42) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50083,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50087,plain,
    ( until27(s43)
    | ~ xuntil28(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_50083]) ).

tcf(c_50088,plain,
    ( xuntil28(s43)
    | node26(s43)
    | ~ until27(s43) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50090,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50094,plain,
    ( until27(s44)
    | ~ xuntil28(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_50090]) ).

tcf(c_50095,plain,
    ( xuntil28(s44)
    | node26(s44)
    | ~ until27(s44) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50097,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50101,plain,
    ( until27(s45)
    | ~ xuntil28(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_50097]) ).

tcf(c_50102,plain,
    ( xuntil28(s45)
    | node26(s45)
    | ~ until27(s45) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50104,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50108,plain,
    ( until27(s46)
    | ~ xuntil28(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_50104]) ).

tcf(c_50109,plain,
    ( xuntil28(s46)
    | node26(s46)
    | ~ until27(s46) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50111,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50115,plain,
    ( until27(s47)
    | ~ xuntil28(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_50111]) ).

tcf(c_50116,plain,
    ( xuntil28(s47)
    | node26(s47)
    | ~ until27(s47) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50118,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50122,plain,
    ( until27(s48)
    | ~ xuntil28(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_50118]) ).

tcf(c_50123,plain,
    ( xuntil28(s48)
    | node26(s48)
    | ~ until27(s48) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50125,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50129,plain,
    ( until27(s49)
    | ~ xuntil28(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_50125]) ).

tcf(c_50130,plain,
    ( xuntil28(s49)
    | node26(s49)
    | ~ until27(s49) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50132,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50136,plain,
    ( until27(s50)
    | ~ xuntil28(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_50132]) ).

tcf(c_50137,plain,
    ( xuntil28(s50)
    | node26(s50)
    | ~ until27(s50) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50139,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50143,plain,
    ( until27(s51)
    | ~ xuntil28(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_50139]) ).

tcf(c_50144,plain,
    ( xuntil28(s51)
    | node26(s51)
    | ~ until27(s51) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50146,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50150,plain,
    ( until27(s52)
    | ~ xuntil28(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_50146]) ).

tcf(c_50151,plain,
    ( xuntil28(s52)
    | node26(s52)
    | ~ until27(s52) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50153,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50157,plain,
    ( until27(s53)
    | ~ xuntil28(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_50153]) ).

tcf(c_50158,plain,
    ( xuntil28(s53)
    | node26(s53)
    | ~ until27(s53) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50160,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50164,plain,
    ( until27(s54)
    | ~ xuntil28(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_50160]) ).

tcf(c_50165,plain,
    ( xuntil28(s54)
    | node26(s54)
    | ~ until27(s54) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50167,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50171,plain,
    ( until27(s55)
    | ~ xuntil28(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_50167]) ).

tcf(c_50172,plain,
    ( xuntil28(s55)
    | node26(s55)
    | ~ until27(s55) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50174,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50178,plain,
    ( until27(s56)
    | ~ xuntil28(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_50174]) ).

tcf(c_50179,plain,
    ( xuntil28(s56)
    | node26(s56)
    | ~ until27(s56) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50180,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node26(s56) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50183,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50187,plain,
    ( until27(s57)
    | ~ xuntil28(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_50183]) ).

tcf(c_50188,plain,
    ( xuntil28(s57)
    | node26(s57)
    | ~ until27(s57) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50190,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50194,plain,
    ( until27(s58)
    | ~ xuntil28(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_50190]) ).

tcf(c_50195,plain,
    ( xuntil28(s58)
    | node26(s58)
    | ~ until27(s58) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50197,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50201,plain,
    ( until27(s59)
    | ~ xuntil28(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_50197]) ).

tcf(c_50202,plain,
    ( xuntil28(s59)
    | node26(s59)
    | ~ until27(s59) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50204,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s59)
      | ~ succ(s59,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50208,plain,
    ( until27(s60)
    | ~ xuntil28(s59)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_50204]) ).

tcf(c_50209,plain,
    ( xuntil28(s60)
    | node26(s60)
    | ~ until27(s60) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50211,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s60)
      | ~ succ(s60,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50215,plain,
    ( until27(s61)
    | ~ xuntil28(s60)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_50211]) ).

tcf(c_50216,plain,
    ( xuntil28(s61)
    | node26(s61)
    | ~ until27(s61) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50218,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s61)
      | ~ succ(s61,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50222,plain,
    ( until27(s62)
    | ~ xuntil28(s61)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_50218]) ).

tcf(c_50223,plain,
    ( xuntil28(s62)
    | node26(s62)
    | ~ until27(s62) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50225,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s62)
      | ~ succ(s62,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50229,plain,
    ( until27(s63)
    | ~ xuntil28(s62)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_50225]) ).

tcf(c_50230,plain,
    ( xuntil28(s63)
    | node26(s63)
    | ~ until27(s63) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50232,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s63)
      | ~ succ(s63,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50236,plain,
    ( until27(s64)
    | ~ xuntil28(s63)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_50232]) ).

tcf(c_50237,plain,
    ( xuntil28(s64)
    | node26(s64)
    | ~ until27(s64) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50239,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s64)
      | ~ succ(s64,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50243,plain,
    ( until27(s65)
    | ~ xuntil28(s64)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_50239]) ).

tcf(c_50244,plain,
    ( xuntil28(s65)
    | node26(s65)
    | ~ until27(s65) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50246,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s65)
      | ~ succ(s65,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50250,plain,
    ( until27(s66)
    | ~ xuntil28(s65)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_50246]) ).

tcf(c_50251,plain,
    ( xuntil28(s66)
    | node26(s66)
    | ~ until27(s66) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50253,plain,
    ( always25(s66)
    | ~ node26(s66) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50258,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s66)
      | ~ trans(s66,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50263,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s66)
      | ~ succ(s66,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50267,plain,
    ( until27(s67)
    | ~ xuntil28(s66)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_50263]) ).

tcf(c_50268,plain,
    ( xuntil28(s67)
    | node26(s67)
    | ~ until27(s67) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50270,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s67)
      | ~ succ(s67,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50274,plain,
    ( until27(s68)
    | ~ xuntil28(s67)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_50270]) ).

tcf(c_50275,plain,
    ( xuntil28(s68)
    | node26(s68)
    | ~ until27(s68) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50276,plain,
    ( m_main_v_state2(s68,c_t2)
    | ~ node26(s68) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50284,plain,
    ( always25(s67)
    | ~ always25(s66)
    | ~ trans(s66,s67) ),
    inference(instantiation,[status(thm)],[c_50258]) ).

tcf(c_50285,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s67)
      | ~ trans(s67,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50290,plain,
    ( always25(s68)
    | ~ always25(s67)
    | ~ trans(s67,s68) ),
    inference(instantiation,[status(thm)],[c_50285]) ).

tcf(c_50300,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s68)
      | ~ succ(s68,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50304,plain,
    ( until27(s69)
    | ~ xuntil28(s68)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_50300]) ).

tcf(c_50305,plain,
    ( xuntil28(s69)
    | node26(s69)
    | ~ until27(s69) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50307,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s69)
      | ~ succ(s69,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50311,plain,
    ( until27(s70)
    | ~ xuntil28(s69)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_50307]) ).

tcf(c_50312,plain,
    ( xuntil28(s70)
    | node26(s70)
    | ~ until27(s70) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50314,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s70)
      | ~ succ(s70,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50318,plain,
    ( until27(s71)
    | ~ xuntil28(s70)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_50314]) ).

tcf(c_50319,plain,
    ( xuntil28(s71)
    | node26(s71)
    | ~ until27(s71) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50321,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s71)
      | ~ succ(s71,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50325,plain,
    ( until27(s72)
    | ~ xuntil28(s71)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_50321]) ).

tcf(c_50326,plain,
    ( xuntil28(s72)
    | node26(s72)
    | ~ until27(s72) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50328,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s72)
      | ~ succ(s72,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50332,plain,
    ( until27(s73)
    | ~ xuntil28(s72)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_50328]) ).

tcf(c_50333,plain,
    ( xuntil28(s73)
    | node26(s73)
    | ~ until27(s73) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50335,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s73)
      | ~ succ(s73,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50339,plain,
    ( until27(s74)
    | ~ xuntil28(s73)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_50335]) ).

tcf(c_50340,plain,
    ( xuntil28(s74)
    | node26(s74)
    | ~ until27(s74) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50342,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s74)
      | ~ succ(s74,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50346,plain,
    ( until27(s75)
    | ~ xuntil28(s74)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_50342]) ).

tcf(c_50347,plain,
    ( xuntil28(s75)
    | node26(s75)
    | ~ until27(s75) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50349,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s75)
      | ~ succ(s75,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50353,plain,
    ( until27(s76)
    | ~ xuntil28(s75)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_50349]) ).

tcf(c_50354,plain,
    ( xuntil28(s76)
    | node26(s76)
    | ~ until27(s76) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50355,plain,
    ( m_main_v_state2(s76,c_t2)
    | ~ node26(s76) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50358,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s76)
      | ~ succ(s76,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50362,plain,
    ( until27(s77)
    | ~ xuntil28(s76)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_50358]) ).

tcf(c_50363,plain,
    ( xuntil28(s77)
    | node26(s77)
    | ~ until27(s77) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50365,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s77)
      | ~ succ(s77,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50369,plain,
    ( until27(s78)
    | ~ xuntil28(s77)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_50365]) ).

tcf(c_50370,plain,
    ( xuntil28(s78)
    | node26(s78)
    | ~ until27(s78) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50372,plain,
    ( always25(s78)
    | ~ node26(s78) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50377,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s78)
      | ~ trans(s78,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50382,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s78)
      | ~ succ(s78,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50386,plain,
    ( until27(s79)
    | ~ xuntil28(s78)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_50382]) ).

tcf(c_50387,plain,
    ( xuntil28(s79)
    | node26(s79)
    | ~ until27(s79) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50389,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s79)
      | ~ succ(s79,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50393,plain,
    ( until27(s80)
    | ~ xuntil28(s79)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_50389]) ).

tcf(c_50394,plain,
    ( xuntil28(s80)
    | node26(s80)
    | ~ until27(s80) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50395,plain,
    ( m_main_v_state2(s80,c_t2)
    | ~ node26(s80) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50403,plain,
    ( always25(s79)
    | ~ always25(s78)
    | ~ trans(s78,s79) ),
    inference(instantiation,[status(thm)],[c_50377]) ).

tcf(c_50404,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s79)
      | ~ trans(s79,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50409,plain,
    ( always25(s80)
    | ~ always25(s79)
    | ~ trans(s79,s80) ),
    inference(instantiation,[status(thm)],[c_50404]) ).

tcf(c_50419,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s80)
      | ~ succ(s80,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50423,plain,
    ( until27(s81)
    | ~ xuntil28(s80)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_50419]) ).

tcf(c_50424,plain,
    ( xuntil28(s81)
    | node26(s81)
    | ~ until27(s81) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50425,plain,
    ( m_main_v_state2(s81,c_t2)
    | ~ node26(s81) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50428,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s81)
      | ~ succ(s81,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50432,plain,
    ( until27(s82)
    | ~ xuntil28(s81)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_50428]) ).

tcf(c_50433,plain,
    ( xuntil28(s82)
    | node26(s82)
    | ~ until27(s82) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50435,plain,
    ( always25(s82)
    | ~ node26(s82) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50440,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s82)
      | ~ trans(s82,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50445,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s82)
      | ~ succ(s82,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50449,plain,
    ( until27(s83)
    | ~ xuntil28(s82)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_50445]) ).

tcf(c_50450,plain,
    ( xuntil28(s83)
    | node26(s83)
    | ~ until27(s83) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50452,plain,
    ( always25(s83)
    | ~ node26(s83) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50456,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s83)
      | ~ trans(s83,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50461,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s83)
      | ~ succ(s83,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50465,plain,
    ( until27(s84)
    | ~ xuntil28(s83)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_50461]) ).

tcf(c_50466,plain,
    ( xuntil28(s84)
    | node26(s84)
    | ~ until27(s84) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50467,plain,
    ( m_main_v_state2(s84,c_t2)
    | ~ node26(s84) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50471,plain,
    ( ~ always25(s84)
    | ~ m_main_v_state2(s84,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_50474,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s84)
      | ~ succ(s84,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50478,plain,
    ( until27(s85)
    | ~ xuntil28(s84)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_50474]) ).

tcf(c_50479,plain,
    ( xuntil28(s85)
    | node26(s85)
    | ~ until27(s85) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50480,plain,
    ( m_main_v_state2(s85,c_t2)
    | ~ node26(s85) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50483,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s85)
      | ~ succ(s85,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50487,plain,
    ( until27(s86)
    | ~ xuntil28(s85)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_50483]) ).

tcf(c_50488,plain,
    ( xuntil28(s86)
    | node26(s86)
    | ~ until27(s86) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50490,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s86)
      | ~ succ(s86,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50494,plain,
    ( until27(s87)
    | ~ xuntil28(s86)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_50490]) ).

tcf(c_50495,plain,
    ( xuntil28(s87)
    | node26(s87)
    | ~ until27(s87) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50497,plain,
    ( always25(s87)
    | ~ node26(s87) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50502,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s87)
      | ~ trans(s87,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50507,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s87)
      | ~ succ(s87,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50511,plain,
    ( until27(s88)
    | ~ xuntil28(s87)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_50507]) ).

tcf(c_50512,plain,
    ( xuntil28(s88)
    | node26(s88)
    | ~ until27(s88) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50514,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s88)
      | ~ succ(s88,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50518,plain,
    ( until27(s89)
    | ~ xuntil28(s88)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_50514]) ).

tcf(c_50519,plain,
    ( xuntil28(s89)
    | node26(s89)
    | ~ until27(s89) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50521,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s89)
      | ~ succ(s89,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50525,plain,
    ( until27(s90)
    | ~ xuntil28(s89)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_50521]) ).

tcf(c_50526,plain,
    ( xuntil28(s90)
    | node26(s90)
    | ~ until27(s90) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50528,plain,
    ( always25(s90)
    | ~ node26(s90) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50533,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s90)
      | ~ trans(s90,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50538,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s90)
      | ~ succ(s90,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50542,plain,
    ( until27(s91)
    | ~ xuntil28(s90)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_50538]) ).

tcf(c_50543,plain,
    ( xuntil28(s91)
    | node26(s91)
    | ~ until27(s91) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50545,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s91)
      | ~ succ(s91,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50549,plain,
    ( until27(s92)
    | ~ xuntil28(s91)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_50545]) ).

tcf(c_50550,plain,
    ( xuntil28(s92)
    | node26(s92)
    | ~ until27(s92) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50551,plain,
    ( m_main_v_state2(s92,c_t2)
    | ~ node26(s92) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50554,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s92)
      | ~ succ(s92,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50558,plain,
    ( until27(s93)
    | ~ xuntil28(s92)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_50554]) ).

tcf(c_50559,plain,
    ( xuntil28(s93)
    | node26(s93)
    | ~ until27(s93) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50560,plain,
    ( m_main_v_state2(s93,c_t2)
    | ~ node26(s93) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50563,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s93)
      | ~ succ(s93,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50567,plain,
    ( until27(s94)
    | ~ xuntil28(s93)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_50563]) ).

tcf(c_50568,plain,
    ( xuntil28(s94)
    | node26(s94)
    | ~ until27(s94) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50570,plain,
    ( always25(s94)
    | ~ node26(s94) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50575,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s94)
      | ~ trans(s94,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50580,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s94)
      | ~ succ(s94,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50584,plain,
    ( until27(s95)
    | ~ xuntil28(s94)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_50580]) ).

tcf(c_50585,plain,
    ( xuntil28(s95)
    | node26(s95)
    | ~ until27(s95) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50587,plain,
    ( always25(s95)
    | ~ node26(s95) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50592,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s95)
      | ~ trans(s95,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50597,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s95)
      | ~ succ(s95,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50601,plain,
    ( until27(s96)
    | ~ xuntil28(s95)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_50597]) ).

tcf(c_50602,plain,
    ( xuntil28(s96)
    | node26(s96)
    | ~ until27(s96) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50603,plain,
    ( m_main_v_state2(s96,c_t2)
    | ~ node26(s96) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50611,plain,
    ( always25(s95)
    | ~ always25(s94)
    | ~ trans(s94,s95) ),
    inference(instantiation,[status(thm)],[c_50575]) ).

tcf(c_50616,plain,
    ( always25(s96)
    | ~ always25(s95)
    | ~ trans(s95,s96) ),
    inference(instantiation,[status(thm)],[c_50592]) ).

tcf(c_50619,plain,
    ( ~ always25(s96)
    | ~ m_main_v_state2(s96,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_50630,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s96)
      | ~ succ(s96,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50634,plain,
    ( until27(s97)
    | ~ xuntil28(s96)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_50630]) ).

tcf(c_50635,plain,
    ( xuntil28(s97)
    | node26(s97)
    | ~ until27(s97) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50636,plain,
    ( m_main_v_state2(s97,c_t2)
    | ~ node26(s97) ),
    inference(instantiation,[status(thm)],[c_409]) ).

tcf(c_50639,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s97)
      | ~ succ(s97,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50643,plain,
    ( until27(s98)
    | ~ xuntil28(s97)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_50639]) ).

tcf(c_50644,plain,
    ( xuntil28(s98)
    | node26(s98)
    | ~ until27(s98) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50646,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s98)
      | ~ succ(s98,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50650,plain,
    ( until27(s99)
    | ~ xuntil28(s98)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_50646]) ).

tcf(c_50651,plain,
    ( xuntil28(s99)
    | node26(s99)
    | ~ until27(s99) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50653,plain,
    ( always25(s99)
    | ~ node26(s99) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_50658,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s99)
      | ~ trans(s99,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_50663,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s99)
      | ~ succ(s99,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50667,plain,
    ( until27(s100)
    | ~ xuntil28(s99)
    | ~ succ(s99,s100) ),
    inference(instantiation,[status(thm)],[c_50663]) ).

tcf(c_50668,plain,
    ( xuntil28(s100)
    | node26(s100)
    | ~ until27(s100) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50670,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s100)
      | ~ succ(s100,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50674,plain,
    ( until27(s101)
    | ~ xuntil28(s100)
    | ~ succ(s100,s101) ),
    inference(instantiation,[status(thm)],[c_50670]) ).

tcf(c_50675,plain,
    ( xuntil28(s101)
    | node26(s101)
    | ~ until27(s101) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50677,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s101)
      | ~ succ(s101,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50681,plain,
    ( until27(s102)
    | ~ xuntil28(s101)
    | ~ succ(s101,s102) ),
    inference(instantiation,[status(thm)],[c_50677]) ).

tcf(c_50682,plain,
    ( xuntil28(s102)
    | node26(s102)
    | ~ until27(s102) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50684,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s102)
      | ~ succ(s102,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50688,plain,
    ( until27(s103)
    | ~ xuntil28(s102)
    | ~ succ(s102,s103) ),
    inference(instantiation,[status(thm)],[c_50684]) ).

tcf(c_50689,plain,
    ( xuntil28(s103)
    | node26(s103)
    | ~ until27(s103) ),
    inference(instantiation,[status(thm)],[c_411]) ).

tcf(c_50691,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s103)
      | ~ succ(s103,X0) ),
    inference(instantiation,[status(thm)],[c_412]) ).

tcf(c_50693,plain,
    ( until27(s104)
    | ~ xuntil28(s103)
    | ~ succ(s103,s104) ),
    inference(instantiation,[status(thm)],[c_50691]) ).

tcf(c_50801,plain,
    ( node14(s104,s70)
    | ~ trans(s104,s70) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50803,plain,
    ( xuntil2p30(s70)
    | node26(s70)
    | ~ until2p29(s70) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50805,plain,
    ( node18(s104,s0)
    | ~ trans(s104,s0) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_50810,plain,
    ( node14(s104,s4)
    | ~ trans(s104,s4) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50813,plain,
    ( until2p29(s5)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s5) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50817,plain,
    ( xuntil2p30(s5)
    | node26(s5)
    | ~ until2p29(s5) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50820,plain,
    ( node14(s104,s6)
    | ~ trans(s104,s6) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50822,plain,
    ( xuntil2p30(s6)
    | node26(s6)
    | ~ until2p29(s6) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50825,plain,
    ( node14(s104,s8)
    | ~ trans(s104,s8) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50827,plain,
    ( xuntil2p30(s8)
    | node26(s8)
    | ~ until2p29(s8) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50828,plain,
    ( until2p29(s9)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s9) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50832,plain,
    ( xuntil2p30(s9)
    | node26(s9)
    | ~ until2p29(s9) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50835,plain,
    ( node14(s104,s10)
    | ~ trans(s104,s10) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50837,plain,
    ( xuntil2p30(s10)
    | node26(s10)
    | ~ until2p29(s10) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50840,plain,
    ( node14(s104,s15)
    | ~ trans(s104,s15) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50842,plain,
    ( xuntil2p30(s15)
    | node26(s15)
    | ~ until2p29(s15) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50843,plain,
    ( until2p29(s17)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s17) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50849,plain,
    ( node14(s104,s1)
    | ~ trans(s104,s1) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50854,plain,
    ( node14(s104,s2)
    | ~ trans(s104,s2) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50859,plain,
    ( node14(s104,s3)
    | ~ trans(s104,s3) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50865,plain,
    ( node7(s104,s7)
    | ~ trans(s104,s7) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_50866,plain,
    ( xuntil2p30(s7)
    | node26(s7)
    | ~ until2p29(s7) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50869,plain,
    ( node14(s104,s11)
    | ~ trans(s104,s11) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50871,plain,
    ( xuntil2p30(s11)
    | node26(s11)
    | ~ until2p29(s11) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50874,plain,
    ( node14(s104,s12)
    | ~ trans(s104,s12) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50876,plain,
    ( xuntil2p30(s12)
    | node26(s12)
    | ~ until2p29(s12) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50879,plain,
    ( node14(s104,s14)
    | ~ trans(s104,s14) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50881,plain,
    ( xuntil2p30(s14)
    | node26(s14)
    | ~ until2p29(s14) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50884,plain,
    ( node14(s104,s16)
    | ~ trans(s104,s16) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50888,plain,
    ( node14(s104,s19)
    | ~ trans(s104,s19) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50890,plain,
    ( xuntil2p30(s19)
    | node26(s19)
    | ~ until2p29(s19) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50893,plain,
    ( node14(s104,s20)
    | ~ trans(s104,s20) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50895,plain,
    ( xuntil2p30(s20)
    | node26(s20)
    | ~ until2p29(s20) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50898,plain,
    ( node14(s104,s22)
    | ~ trans(s104,s22) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50900,plain,
    ( xuntil2p30(s22)
    | node26(s22)
    | ~ until2p29(s22) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50904,plain,
    ( node7(s104,s23)
    | ~ trans(s104,s23) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_50905,plain,
    ( xuntil2p30(s23)
    | node26(s23)
    | ~ until2p29(s23) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50908,plain,
    ( node14(s104,s28)
    | ~ trans(s104,s28) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50910,plain,
    ( xuntil2p30(s28)
    | node26(s28)
    | ~ until2p29(s28) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50911,plain,
    ( until2p29(s29)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s29) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50915,plain,
    ( xuntil2p30(s29)
    | node26(s29)
    | ~ until2p29(s29) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50918,plain,
    ( node14(s104,s36)
    | ~ trans(s104,s36) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50920,plain,
    ( xuntil2p30(s36)
    | node26(s36)
    | ~ until2p29(s36) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50923,plain,
    ( node14(s104,s40)
    | ~ trans(s104,s40) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50925,plain,
    ( until2p29(s13)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s13) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50929,plain,
    ( xuntil2p30(s13)
    | node26(s13)
    | ~ until2p29(s13) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50932,plain,
    ( node14(s104,s18)
    | ~ trans(s104,s18) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50934,plain,
    ( xuntil2p30(s18)
    | node26(s18)
    | ~ until2p29(s18) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50935,plain,
    ( until2p29(s21)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s21) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50939,plain,
    ( xuntil2p30(s21)
    | node26(s21)
    | ~ until2p29(s21) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50942,plain,
    ( node14(s104,s24)
    | ~ trans(s104,s24) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50944,plain,
    ( xuntil2p30(s24)
    | node26(s24)
    | ~ until2p29(s24) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50945,plain,
    ( until2p29(s25)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s25) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50949,plain,
    ( xuntil2p30(s25)
    | node26(s25)
    | ~ until2p29(s25) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50952,plain,
    ( node14(s104,s26)
    | ~ trans(s104,s26) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50954,plain,
    ( xuntil2p30(s26)
    | node26(s26)
    | ~ until2p29(s26) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50958,plain,
    ( node7(s104,s27)
    | ~ trans(s104,s27) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_50959,plain,
    ( xuntil2p30(s27)
    | node26(s27)
    | ~ until2p29(s27) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50962,plain,
    ( node14(s104,s30)
    | ~ trans(s104,s30) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50966,plain,
    ( node14(s104,s32)
    | ~ trans(s104,s32) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50968,plain,
    ( xuntil2p30(s32)
    | node26(s32)
    | ~ until2p29(s32) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50971,plain,
    ( node14(s104,s43)
    | ~ trans(s104,s43) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50973,plain,
    ( xuntil2p30(s43)
    | node26(s43)
    | ~ until2p29(s43) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50976,plain,
    ( node14(s104,s44)
    | ~ trans(s104,s44) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50978,plain,
    ( xuntil2p30(s44)
    | node26(s44)
    | ~ until2p29(s44) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50979,plain,
    ( until2p29(s45)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s45) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_50983,plain,
    ( xuntil2p30(s45)
    | node26(s45)
    | ~ until2p29(s45) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50986,plain,
    ( node14(s104,s50)
    | ~ trans(s104,s50) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50988,plain,
    ( xuntil2p30(s50)
    | node26(s50)
    | ~ until2p29(s50) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50991,plain,
    ( node14(s104,s51)
    | ~ trans(s104,s51) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_50993,plain,
    ( xuntil2p30(s51)
    | node26(s51)
    | ~ until2p29(s51) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_50997,plain,
    ( node7(s104,s55)
    | ~ trans(s104,s55) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_50998,plain,
    ( xuntil2p30(s55)
    | node26(s55)
    | ~ until2p29(s55) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51001,plain,
    ( node14(s104,s56)
    | ~ trans(s104,s56) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51006,plain,
    ( node7(s104,s31)
    | ~ trans(s104,s31) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51007,plain,
    ( xuntil2p30(s31)
    | node26(s31)
    | ~ until2p29(s31) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51008,plain,
    ( until2p29(s33)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s33) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51012,plain,
    ( xuntil2p30(s33)
    | node26(s33)
    | ~ until2p29(s33) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51015,plain,
    ( node14(s104,s42)
    | ~ trans(s104,s42) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51017,plain,
    ( xuntil2p30(s42)
    | node26(s42)
    | ~ until2p29(s42) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51020,plain,
    ( node14(s104,s46)
    | ~ trans(s104,s46) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51022,plain,
    ( xuntil2p30(s46)
    | node26(s46)
    | ~ until2p29(s46) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51025,plain,
    ( node14(s104,s48)
    | ~ trans(s104,s48) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51027,plain,
    ( xuntil2p30(s48)
    | node26(s48)
    | ~ until2p29(s48) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51028,plain,
    ( until2p29(s49)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s49) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51032,plain,
    ( xuntil2p30(s49)
    | node26(s49)
    | ~ until2p29(s49) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51035,plain,
    ( node14(s104,s52)
    | ~ trans(s104,s52) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51037,plain,
    ( xuntil2p30(s52)
    | node26(s52)
    | ~ until2p29(s52) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51038,plain,
    ( until2p29(s53)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s53) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51044,plain,
    ( node14(s104,s54)
    | ~ trans(s104,s54) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51046,plain,
    ( xuntil2p30(s54)
    | node26(s54)
    | ~ until2p29(s54) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51049,plain,
    ( node14(s104,s58)
    | ~ trans(s104,s58) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51051,plain,
    ( xuntil2p30(s58)
    | node26(s58)
    | ~ until2p29(s58) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51055,plain,
    ( node7(s104,s59)
    | ~ trans(s104,s59) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51056,plain,
    ( xuntil2p30(s59)
    | node26(s59)
    | ~ until2p29(s59) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51059,plain,
    ( node14(s104,s60)
    | ~ trans(s104,s60) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51063,plain,
    ( node14(s104,s62)
    | ~ trans(s104,s62) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51065,plain,
    ( xuntil2p30(s62)
    | node26(s62)
    | ~ until2p29(s62) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51069,plain,
    ( node7(s104,s63)
    | ~ trans(s104,s63) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51070,plain,
    ( xuntil2p30(s63)
    | node26(s63)
    | ~ until2p29(s63) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51073,plain,
    ( node14(s104,s64)
    | ~ trans(s104,s64) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51075,plain,
    ( xuntil2p30(s64)
    | node26(s64)
    | ~ until2p29(s64) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51078,plain,
    ( node14(s104,s67)
    | ~ trans(s104,s67) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51080,plain,
    ( xuntil2p30(s67)
    | node26(s67)
    | ~ until2p29(s67) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51083,plain,
    ( node14(s104,s35)
    | ~ trans(s104,s35) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51085,plain,
    ( xuntil2p30(s35)
    | node26(s35)
    | ~ until2p29(s35) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51086,plain,
    ( until2p29(s37)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s37) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51090,plain,
    ( xuntil2p30(s37)
    | node26(s37)
    | ~ until2p29(s37) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51093,plain,
    ( node14(s104,s38)
    | ~ trans(s104,s38) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51095,plain,
    ( xuntil2p30(s38)
    | node26(s38)
    | ~ until2p29(s38) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51098,plain,
    ( node14(s104,s39)
    | ~ trans(s104,s39) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51100,plain,
    ( xuntil2p30(s39)
    | node26(s39)
    | ~ until2p29(s39) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51101,plain,
    ( until2p29(s41)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s41) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51105,plain,
    ( xuntil2p30(s41)
    | node26(s41)
    | ~ until2p29(s41) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51108,plain,
    ( node14(s104,s47)
    | ~ trans(s104,s47) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51110,plain,
    ( xuntil2p30(s47)
    | node26(s47)
    | ~ until2p29(s47) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51111,plain,
    ( until2p29(s57)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s57) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51115,plain,
    ( xuntil2p30(s57)
    | node26(s57)
    | ~ until2p29(s57) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51116,plain,
    ( until2p29(s65)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s65) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51122,plain,
    ( node14(s104,s66)
    | ~ trans(s104,s66) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51124,plain,
    ( xuntil2p30(s66)
    | node26(s66)
    | ~ until2p29(s66) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51125,plain,
    ( until2p29(s69)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s69) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51129,plain,
    ( xuntil2p30(s69)
    | node26(s69)
    | ~ until2p29(s69) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51133,plain,
    ( node7(s104,s71)
    | ~ trans(s104,s71) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51134,plain,
    ( xuntil2p30(s71)
    | node26(s71)
    | ~ until2p29(s71) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51137,plain,
    ( node14(s104,s72)
    | ~ trans(s104,s72) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51139,plain,
    ( xuntil2p30(s72)
    | node26(s72)
    | ~ until2p29(s72) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51142,plain,
    ( node14(s104,s74)
    | ~ trans(s104,s74) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51144,plain,
    ( xuntil2p30(s74)
    | node26(s74)
    | ~ until2p29(s74) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51148,plain,
    ( node7(s104,s75)
    | ~ trans(s104,s75) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51149,plain,
    ( xuntil2p30(s75)
    | node26(s75)
    | ~ until2p29(s75) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51152,plain,
    ( node14(s104,s78)
    | ~ trans(s104,s78) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51154,plain,
    ( xuntil2p30(s78)
    | node26(s78)
    | ~ until2p29(s78) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51157,plain,
    ( node14(s104,s84)
    | ~ trans(s104,s84) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51161,plain,
    ( node14(s104,s34)
    | ~ trans(s104,s34) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51163,plain,
    ( xuntil2p30(s34)
    | node26(s34)
    | ~ until2p29(s34) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51164,plain,
    ( until2p29(s61)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s61) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51168,plain,
    ( xuntil2p30(s61)
    | node26(s61)
    | ~ until2p29(s61) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51171,plain,
    ( node14(s104,s68)
    | ~ trans(s104,s68) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51173,plain,
    ( xuntil2p30(s68)
    | node26(s68)
    | ~ until2p29(s68) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51174,plain,
    ( until2p29(s77)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s77) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51178,plain,
    ( xuntil2p30(s77)
    | node26(s77)
    | ~ until2p29(s77) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51182,plain,
    ( node7(s104,s79)
    | ~ trans(s104,s79) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51183,plain,
    ( xuntil2p30(s79)
    | node26(s79)
    | ~ until2p29(s79) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51186,plain,
    ( node14(s104,s80)
    | ~ trans(s104,s80) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51188,plain,
    ( xuntil2p30(s80)
    | node26(s80)
    | ~ until2p29(s80) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51189,plain,
    ( until2p29(s81)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s81) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51193,plain,
    ( xuntil2p30(s81)
    | node26(s81)
    | ~ until2p29(s81) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51196,plain,
    ( node14(s104,s82)
    | ~ trans(s104,s82) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51201,plain,
    ( node7(s104,s83)
    | ~ trans(s104,s83) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51202,plain,
    ( xuntil2p30(s83)
    | node26(s83)
    | ~ until2p29(s83) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51205,plain,
    ( node14(s104,s86)
    | ~ trans(s104,s86) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51207,plain,
    ( xuntil2p30(s86)
    | node26(s86)
    | ~ until2p29(s86) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51211,plain,
    ( node7(s104,s87)
    | ~ trans(s104,s87) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51212,plain,
    ( xuntil2p30(s87)
    | node26(s87)
    | ~ until2p29(s87) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51215,plain,
    ( node14(s104,s90)
    | ~ trans(s104,s90) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51217,plain,
    ( xuntil2p30(s90)
    | node26(s90)
    | ~ until2p29(s90) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51220,plain,
    ( node14(s104,s92)
    | ~ trans(s104,s92) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51222,plain,
    ( xuntil2p30(s92)
    | node26(s92)
    | ~ until2p29(s92) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51225,plain,
    ( node14(s104,s94)
    | ~ trans(s104,s94) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51227,plain,
    ( xuntil2p30(s94)
    | node26(s94)
    | ~ until2p29(s94) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51230,plain,
    ( node14(s104,s95)
    | ~ trans(s104,s95) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51232,plain,
    ( xuntil2p30(s95)
    | node26(s95)
    | ~ until2p29(s95) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51233,plain,
    ( until2p29(s97)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s97) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51237,plain,
    ( until2p29(s73)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s73) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51241,plain,
    ( xuntil2p30(s73)
    | node26(s73)
    | ~ until2p29(s73) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51244,plain,
    ( node14(s104,s76)
    | ~ trans(s104,s76) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51246,plain,
    ( xuntil2p30(s76)
    | node26(s76)
    | ~ until2p29(s76) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51247,plain,
    ( until2p29(s85)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s85) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51251,plain,
    ( xuntil2p30(s85)
    | node26(s85)
    | ~ until2p29(s85) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51254,plain,
    ( node14(s104,s88)
    | ~ trans(s104,s88) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51256,plain,
    ( xuntil2p30(s88)
    | node26(s88)
    | ~ until2p29(s88) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51257,plain,
    ( until2p29(s89)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s89) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51261,plain,
    ( xuntil2p30(s89)
    | node26(s89)
    | ~ until2p29(s89) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51262,plain,
    ( until2p29(s93)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s93) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51266,plain,
    ( xuntil2p30(s93)
    | node26(s93)
    | ~ until2p29(s93) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51269,plain,
    ( node14(s104,s96)
    | ~ trans(s104,s96) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51271,plain,
    ( xuntil2p30(s96)
    | node26(s96)
    | ~ until2p29(s96) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51274,plain,
    ( node14(s104,s98)
    | ~ trans(s104,s98) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51278,plain,
    ( node14(s104,s100)
    | ~ trans(s104,s100) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51280,plain,
    ( xuntil2p30(s100)
    | node26(s100)
    | ~ until2p29(s100) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51281,plain,
    ( until2p29(s101)
    | ~ xuntil28(s104)
    | ~ last(s104)
    | ~ trans(s104,s101) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_51285,plain,
    ( xuntil2p30(s101)
    | node26(s101)
    | ~ until2p29(s101) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51288,plain,
    ( node14(s104,s102)
    | ~ trans(s104,s102) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51290,plain,
    ( xuntil2p30(s102)
    | node26(s102)
    | ~ until2p29(s102) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51294,plain,
    ( node7(s104,s91)
    | ~ trans(s104,s91) ),
    inference(instantiation,[status(thm)],[c_374]) ).

tcf(c_51295,plain,
    ( xuntil2p30(s91)
    | node26(s91)
    | ~ until2p29(s91) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51298,plain,
    ( node14(s104,s103)
    | ~ trans(s104,s103) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51300,plain,
    ( xuntil2p30(s103)
    | node26(s103)
    | ~ until2p29(s103) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51306,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s95)
      | ~ succ(s95,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_51315,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s95,c_n2)
    | ~ node14(s104,s95)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_51432,plain,
    ( until2p29(s96)
    | ~ xuntil2p30(s95)
    | ~ succ(s95,s96) ),
    inference(instantiation,[status(thm)],[c_51306]) ).

tcf(c_51442,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s103)
      | ~ succ(s103,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_51444,plain,
    ( until2p29(s104)
    | ~ xuntil2p30(s103)
    | ~ succ(s103,s104) ),
    inference(instantiation,[status(thm)],[c_51442]) ).

tcf(c_51451,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s103,c_n2)
    | ~ node14(s104,s103)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_51489,plain,
    ( always25(s103)
    | ~ node26(s103) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_51492,plain,
    ( node14(s104,s99)
    | ~ trans(s104,s99) ),
    inference(instantiation,[status(thm)],[c_395]) ).

tcf(c_51498,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s103)
      | ~ trans(s103,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_51501,plain,
    ( always25(s104)
    | ~ always25(s103)
    | ~ trans(s103,s104) ),
    inference(instantiation,[status(thm)],[c_51498]) ).

tcf(c_51502,plain,
    ( xuntil2p30(s99)
    | node26(s99)
    | ~ until2p29(s99) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_51509,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s99,c_n2)
    | ~ node14(s104,s99)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_51546,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s99)
      | ~ succ(s99,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_51765,plain,
    ( always25(s102)
    | ~ node26(s102) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_51776,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s2,c_n2)
    | ~ node14(s104,s2)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_51825,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s102)
      | ~ trans(s102,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_51829,plain,
    ( until2p29(s100)
    | ~ xuntil2p30(s99)
    | ~ succ(s99,s100) ),
    inference(instantiation,[status(thm)],[c_51546]) ).

tcf(c_52013,plain,
    ( always25(s103)
    | ~ always25(s102)
    | ~ trans(s102,s103) ),
    inference(instantiation,[status(thm)],[c_51825]) ).

tcf(c_52020,plain,
    ( always25(s100)
    | ~ always25(s99)
    | ~ trans(s99,s100) ),
    inference(instantiation,[status(thm)],[c_50658]) ).

tcf(c_52044,plain,
    ( always25(s98)
    | ~ node26(s98) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52069,plain,
    ( ~ always25(s100)
    | ~ m_main_v_state2(s100,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52083,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s98)
      | ~ trans(s98,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52088,plain,
    ( always25(s99)
    | ~ always25(s98)
    | ~ trans(s98,s99) ),
    inference(instantiation,[status(thm)],[c_52083]) ).

tcf(c_52090,plain,
    ( always25(s91)
    | ~ node26(s91) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52095,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s91)
      | ~ trans(s91,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52100,plain,
    ( always25(s92)
    | ~ always25(s91)
    | ~ trans(s91,s92) ),
    inference(instantiation,[status(thm)],[c_52095]) ).

tcf(c_52102,plain,
    ( always25(s86)
    | ~ node26(s86) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52107,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s86)
      | ~ trans(s86,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52112,plain,
    ( always25(s87)
    | ~ always25(s86)
    | ~ trans(s86,s87) ),
    inference(instantiation,[status(thm)],[c_52107]) ).

tcf(c_52114,plain,
    ( always25(s79)
    | ~ node26(s79) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52119,plain,
    ( always25(s75)
    | ~ node26(s75) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52123,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s75)
      | ~ trans(s75,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52128,plain,
    ( always25(s76)
    | ~ always25(s75)
    | ~ trans(s75,s76) ),
    inference(instantiation,[status(thm)],[c_52123]) ).

tcf(c_52130,plain,
    ( always25(s74)
    | ~ node26(s74) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52135,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s74)
      | ~ trans(s74,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52140,plain,
    ( always25(s75)
    | ~ always25(s74)
    | ~ trans(s74,s75) ),
    inference(instantiation,[status(thm)],[c_52135]) ).

tcf(c_52142,plain,
    ( always25(s71)
    | ~ node26(s71) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52147,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s71)
      | ~ trans(s71,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52152,plain,
    ( always25(s72)
    | ~ always25(s71)
    | ~ trans(s71,s72) ),
    inference(instantiation,[status(thm)],[c_52147]) ).

tcf(c_52155,plain,
    ( ~ always25(s72)
    | ~ m_main_v_state2(s72,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52158,plain,
    ( always25(s70)
    | ~ node26(s70) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52163,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s70)
      | ~ trans(s70,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52168,plain,
    ( always25(s71)
    | ~ always25(s70)
    | ~ trans(s70,s71) ),
    inference(instantiation,[status(thm)],[c_52163]) ).

tcf(c_52170,plain,
    ( always25(s67)
    | ~ node26(s67) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52176,plain,
    ( always25(s63)
    | ~ node26(s63) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52181,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s63)
      | ~ trans(s63,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52186,plain,
    ( always25(s64)
    | ~ always25(s63)
    | ~ trans(s63,s64) ),
    inference(instantiation,[status(thm)],[c_52181]) ).

tcf(c_52189,plain,
    ( ~ always25(s64)
    | ~ m_main_v_state2(s64,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52192,plain,
    ( always25(s62)
    | ~ node26(s62) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52197,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s62)
      | ~ trans(s62,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52202,plain,
    ( always25(s63)
    | ~ always25(s62)
    | ~ trans(s62,s63) ),
    inference(instantiation,[status(thm)],[c_52197]) ).

tcf(c_52204,plain,
    ( always25(s59)
    | ~ node26(s59) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52209,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s59)
      | ~ trans(s59,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52214,plain,
    ( always25(s60)
    | ~ always25(s59)
    | ~ trans(s59,s60) ),
    inference(instantiation,[status(thm)],[c_52209]) ).

tcf(c_52217,plain,
    ( ~ always25(s60)
    | ~ m_main_v_state2(s60,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52220,plain,
    ( always25(s58)
    | ~ node26(s58) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52225,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s58)
      | ~ trans(s58,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52230,plain,
    ( always25(s59)
    | ~ always25(s58)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_52225]) ).

tcf(c_52232,plain,
    ( always25(s54)
    | ~ node26(s54) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52237,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s54)
      | ~ trans(s54,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52242,plain,
    ( always25(s55)
    | ~ always25(s54)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_52237]) ).

tcf(c_52243,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s55)
      | ~ trans(s55,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52248,plain,
    ( always25(s56)
    | ~ always25(s55)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_52243]) ).

tcf(c_52250,plain,
    ( always25(s51)
    | ~ node26(s51) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52255,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s51)
      | ~ trans(s51,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52260,plain,
    ( always25(s52)
    | ~ always25(s51)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_52255]) ).

tcf(c_52263,plain,
    ( ~ always25(s52)
    | ~ m_main_v_state2(s52,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52266,plain,
    ( always25(s50)
    | ~ node26(s50) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52271,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s50)
      | ~ trans(s50,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52276,plain,
    ( always25(s51)
    | ~ always25(s50)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_52271]) ).

tcf(c_52278,plain,
    ( always25(s47)
    | ~ node26(s47) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52283,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s47)
      | ~ trans(s47,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52288,plain,
    ( always25(s48)
    | ~ always25(s47)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_52283]) ).

tcf(c_52291,plain,
    ( ~ always25(s48)
    | ~ m_main_v_state2(s48,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52294,plain,
    ( always25(s46)
    | ~ node26(s46) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52299,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s46)
      | ~ trans(s46,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52304,plain,
    ( always25(s47)
    | ~ always25(s46)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_52299]) ).

tcf(c_52306,plain,
    ( always25(s43)
    | ~ node26(s43) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52311,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s43)
      | ~ trans(s43,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52316,plain,
    ( always25(s44)
    | ~ always25(s43)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_52311]) ).

tcf(c_52319,plain,
    ( ~ always25(s44)
    | ~ m_main_v_state2(s44,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52322,plain,
    ( always25(s42)
    | ~ node26(s42) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52327,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s42)
      | ~ trans(s42,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52332,plain,
    ( always25(s43)
    | ~ always25(s42)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_52327]) ).

tcf(c_52334,plain,
    ( always25(s39)
    | ~ node26(s39) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52339,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s39)
      | ~ trans(s39,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52344,plain,
    ( always25(s40)
    | ~ always25(s39)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_52339]) ).

tcf(c_52347,plain,
    ( ~ always25(s40)
    | ~ m_main_v_state2(s40,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52350,plain,
    ( always25(s38)
    | ~ node26(s38) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52355,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s38)
      | ~ trans(s38,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52360,plain,
    ( always25(s39)
    | ~ always25(s38)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_52355]) ).

tcf(c_52362,plain,
    ( always25(s35)
    | ~ node26(s35) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52367,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s35)
      | ~ trans(s35,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52372,plain,
    ( always25(s36)
    | ~ always25(s35)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_52367]) ).

tcf(c_52375,plain,
    ( ~ always25(s36)
    | ~ m_main_v_state2(s36,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52378,plain,
    ( always25(s34)
    | ~ node26(s34) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52382,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s34)
      | ~ trans(s34,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52387,plain,
    ( always25(s35)
    | ~ always25(s34)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_52382]) ).

tcf(c_52389,plain,
    ( always25(s31)
    | ~ node26(s31) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52393,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s31)
      | ~ trans(s31,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52398,plain,
    ( always25(s32)
    | ~ always25(s31)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_52393]) ).

tcf(c_52401,plain,
    ( ~ always25(s32)
    | ~ m_main_v_state2(s32,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52404,plain,
    ( always25(s30)
    | ~ node26(s30) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52409,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s30)
      | ~ trans(s30,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52414,plain,
    ( always25(s31)
    | ~ always25(s30)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_52409]) ).

tcf(c_52416,plain,
    ( always25(s27)
    | ~ node26(s27) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52421,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s27)
      | ~ trans(s27,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52426,plain,
    ( always25(s28)
    | ~ always25(s27)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_52421]) ).

tcf(c_52429,plain,
    ( ~ always25(s28)
    | ~ m_main_v_state2(s28,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52432,plain,
    ( always25(s26)
    | ~ node26(s26) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52436,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s26)
      | ~ trans(s26,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52441,plain,
    ( always25(s27)
    | ~ always25(s26)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_52436]) ).

tcf(c_52443,plain,
    ( always25(s23)
    | ~ node26(s23) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52447,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s23)
      | ~ trans(s23,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52452,plain,
    ( always25(s24)
    | ~ always25(s23)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_52447]) ).

tcf(c_52455,plain,
    ( ~ always25(s24)
    | ~ m_main_v_state2(s24,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52458,plain,
    ( always25(s18)
    | ~ node26(s18) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52462,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s18)
      | ~ trans(s18,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52467,plain,
    ( always25(s19)
    | ~ always25(s18)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_52462]) ).

tcf(c_52468,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s19)
      | ~ trans(s19,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52473,plain,
    ( always25(s20)
    | ~ always25(s19)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_52468]) ).

tcf(c_52476,plain,
    ( ~ always25(s20)
    | ~ m_main_v_state2(s20,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52479,plain,
    ( always25(s15)
    | ~ node26(s15) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52484,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s15)
      | ~ trans(s15,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52489,plain,
    ( always25(s16)
    | ~ always25(s15)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_52484]) ).

tcf(c_52492,plain,
    ( ~ always25(s16)
    | ~ m_main_v_state2(s16,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52495,plain,
    ( always25(s14)
    | ~ node26(s14) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52499,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s14)
      | ~ trans(s14,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52504,plain,
    ( always25(s15)
    | ~ always25(s14)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_52499]) ).

tcf(c_52506,plain,
    ( always25(s11)
    | ~ node26(s11) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52511,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s11)
      | ~ trans(s11,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52516,plain,
    ( always25(s12)
    | ~ always25(s11)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_52511]) ).

tcf(c_52519,plain,
    ( ~ always25(s12)
    | ~ m_main_v_state2(s12,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52522,plain,
    ( always25(s10)
    | ~ node26(s10) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52526,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s10)
      | ~ trans(s10,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_52531,plain,
    ( always25(s11)
    | ~ always25(s10)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_52526]) ).

tcf(c_52578,plain,
    ( always25(s55)
    | ~ node26(s55) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_52588,plain,
    ( ~ always25(s56)
    | ~ m_main_v_state2(s56,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52609,plain,
    ( ~ always25(s68)
    | ~ m_main_v_state2(s68,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52628,plain,
    ( ~ always25(s76)
    | ~ m_main_v_state2(s76,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52642,plain,
    ( ~ always25(s80)
    | ~ m_main_v_state2(s80,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52653,plain,
    ( always25(s83)
    | ~ always25(s82)
    | ~ trans(s82,s83) ),
    inference(instantiation,[status(thm)],[c_50440]) ).

tcf(c_52658,plain,
    ( always25(s84)
    | ~ always25(s83)
    | ~ trans(s83,s84) ),
    inference(instantiation,[status(thm)],[c_50456]) ).

tcf(c_52672,plain,
    ( always25(s88)
    | ~ always25(s87)
    | ~ trans(s87,s88) ),
    inference(instantiation,[status(thm)],[c_50502]) ).

tcf(c_52675,plain,
    ( ~ always25(s88)
    | ~ m_main_v_state2(s88,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52687,plain,
    ( always25(s91)
    | ~ always25(s90)
    | ~ trans(s90,s91) ),
    inference(instantiation,[status(thm)],[c_50533]) ).

tcf(c_52693,plain,
    ( ~ always25(s92)
    | ~ m_main_v_state2(s92,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_52696,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52699,plain,
    ( until2p29(s30)
    | ~ xuntil2p30(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_52696]) ).

tcf(c_52700,plain,
    ( xuntil2p30(s30)
    | node26(s30)
    | ~ until2p29(s30) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_52701,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52704,plain,
    ( until2p29(s31)
    | ~ xuntil2p30(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_52701]) ).

tcf(c_52706,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52709,plain,
    ( until2p29(s32)
    | ~ xuntil2p30(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_52706]) ).

tcf(c_52711,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52714,plain,
    ( until2p29(s33)
    | ~ xuntil2p30(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_52711]) ).

tcf(c_52729,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s61)
      | ~ succ(s61,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52925,plain,
    ( until2p29(s62)
    | ~ xuntil2p30(s61)
    | ~ succ(s61,s62) ),
    inference(instantiation,[status(thm)],[c_52729]) ).

tcf(c_52948,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s62)
      | ~ succ(s62,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52963,plain,
    ( until2p29(s63)
    | ~ xuntil2p30(s62)
    | ~ succ(s62,s63) ),
    inference(instantiation,[status(thm)],[c_52948]) ).

tcf(c_52978,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s63)
      | ~ succ(s63,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52981,plain,
    ( until2p29(s64)
    | ~ xuntil2p30(s63)
    | ~ succ(s63,s64) ),
    inference(instantiation,[status(thm)],[c_52978]) ).

tcf(c_52983,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s64)
      | ~ succ(s64,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52986,plain,
    ( until2p29(s65)
    | ~ xuntil2p30(s64)
    | ~ succ(s64,s65) ),
    inference(instantiation,[status(thm)],[c_52983]) ).

tcf(c_52987,plain,
    ( xuntil2p30(s65)
    | node26(s65)
    | ~ until2p29(s65) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_52988,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s65)
      | ~ succ(s65,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52991,plain,
    ( until2p29(s66)
    | ~ xuntil2p30(s65)
    | ~ succ(s65,s66) ),
    inference(instantiation,[status(thm)],[c_52988]) ).

tcf(c_52993,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s66)
      | ~ succ(s66,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_52996,plain,
    ( until2p29(s67)
    | ~ xuntil2p30(s66)
    | ~ succ(s66,s67) ),
    inference(instantiation,[status(thm)],[c_52993]) ).

tcf(c_53002,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53011,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s51,c_n2)
    | ~ node14(s104,s51)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_53048,plain,
    ( until2p29(s52)
    | ~ xuntil2p30(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_53002]) ).

tcf(c_53054,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s89)
      | ~ succ(s89,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53237,plain,
    ( until2p29(s90)
    | ~ xuntil2p30(s89)
    | ~ succ(s89,s90) ),
    inference(instantiation,[status(thm)],[c_53054]) ).

tcf(c_53239,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53275,plain,
    ( until2p29(s53)
    | ~ xuntil2p30(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_53239]) ).

tcf(c_53277,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s90)
      | ~ succ(s90,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53292,plain,
    ( until2p29(s91)
    | ~ xuntil2p30(s90)
    | ~ succ(s90,s91) ),
    inference(instantiation,[status(thm)],[c_53277]) ).

tcf(c_53314,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53323,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s43,c_n2)
    | ~ node14(s104,s43)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_53360,plain,
    ( until2p29(s44)
    | ~ xuntil2p30(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_53314]) ).

tcf(c_53366,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53472,plain,
    ( until2p29(s26)
    | ~ xuntil2p30(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_53366]) ).

tcf(c_53474,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53516,plain,
    ( until2p29(s45)
    | ~ xuntil2p30(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_53474]) ).

tcf(c_53518,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53533,plain,
    ( until2p29(s27)
    | ~ xuntil2p30(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_53518]) ).

tcf(c_53553,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53556,plain,
    ( until2p29(s28)
    | ~ xuntil2p30(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_53553]) ).

tcf(c_53558,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53561,plain,
    ( until2p29(s29)
    | ~ xuntil2p30(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_53558]) ).

tcf(c_53568,plain,
    ( always25(s19)
    | ~ node26(s19) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_53579,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s19,c_n2)
    | ~ node14(s104,s19)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_53593,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53601,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s73)
      | ~ succ(s73,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53701,plain,
    ( until2p29(s20)
    | ~ xuntil2p30(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_53593]) ).

tcf(c_53702,plain,
    ( until2p29(s74)
    | ~ xuntil2p30(s73)
    | ~ succ(s73,s74) ),
    inference(instantiation,[status(thm)],[c_53601]) ).

tcf(c_53740,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53744,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s74)
      | ~ succ(s74,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53759,plain,
    ( until2p29(s21)
    | ~ xuntil2p30(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_53740]) ).

tcf(c_53760,plain,
    ( until2p29(s75)
    | ~ xuntil2p30(s74)
    | ~ succ(s74,s75) ),
    inference(instantiation,[status(thm)],[c_53744]) ).

tcf(c_53784,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53788,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s75)
      | ~ succ(s75,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53791,plain,
    ( until2p29(s22)
    | ~ xuntil2p30(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_53784]) ).

tcf(c_53792,plain,
    ( until2p29(s76)
    | ~ xuntil2p30(s75)
    | ~ succ(s75,s76) ),
    inference(instantiation,[status(thm)],[c_53788]) ).

tcf(c_53795,plain,
    ( always25(s22)
    | ~ node26(s22) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_53797,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s76)
      | ~ succ(s76,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53803,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s22)
      | ~ trans(s22,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_53807,plain,
    ( until2p29(s77)
    | ~ xuntil2p30(s76)
    | ~ succ(s76,s77) ),
    inference(instantiation,[status(thm)],[c_53797]) ).

tcf(c_53809,plain,
    ( always25(s23)
    | ~ always25(s22)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_53803]) ).

tcf(c_53811,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s77)
      | ~ succ(s77,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53814,plain,
    ( until2p29(s78)
    | ~ xuntil2p30(s77)
    | ~ succ(s77,s78) ),
    inference(instantiation,[status(thm)],[c_53811]) ).

tcf(c_53815,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53818,plain,
    ( until2p29(s23)
    | ~ xuntil2p30(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_53815]) ).

tcf(c_53820,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s78)
      | ~ succ(s78,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53823,plain,
    ( until2p29(s79)
    | ~ xuntil2p30(s78)
    | ~ succ(s78,s79) ),
    inference(instantiation,[status(thm)],[c_53820]) ).

tcf(c_53825,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s79)
      | ~ succ(s79,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53828,plain,
    ( until2p29(s80)
    | ~ xuntil2p30(s79)
    | ~ succ(s79,s80) ),
    inference(instantiation,[status(thm)],[c_53825]) ).

tcf(c_53830,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s80)
      | ~ succ(s80,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53833,plain,
    ( until2p29(s81)
    | ~ xuntil2p30(s80)
    | ~ succ(s80,s81) ),
    inference(instantiation,[status(thm)],[c_53830]) ).

tcf(c_53835,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s81)
      | ~ succ(s81,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53838,plain,
    ( until2p29(s82)
    | ~ xuntil2p30(s81)
    | ~ succ(s81,s82) ),
    inference(instantiation,[status(thm)],[c_53835]) ).

tcf(c_53839,plain,
    ( xuntil2p30(s82)
    | node26(s82)
    | ~ until2p29(s82) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_53840,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s82)
      | ~ succ(s82,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53843,plain,
    ( until2p29(s83)
    | ~ xuntil2p30(s82)
    | ~ succ(s82,s83) ),
    inference(instantiation,[status(thm)],[c_53840]) ).

tcf(c_53845,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s83)
      | ~ succ(s83,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53848,plain,
    ( until2p29(s84)
    | ~ xuntil2p30(s83)
    | ~ succ(s83,s84) ),
    inference(instantiation,[status(thm)],[c_53845]) ).

tcf(c_53849,plain,
    ( xuntil2p30(s84)
    | node26(s84)
    | ~ until2p29(s84) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_53850,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s84)
      | ~ succ(s84,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53853,plain,
    ( until2p29(s85)
    | ~ xuntil2p30(s84)
    | ~ succ(s84,s85) ),
    inference(instantiation,[status(thm)],[c_53850]) ).

tcf(c_53855,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s85)
      | ~ succ(s85,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53858,plain,
    ( until2p29(s86)
    | ~ xuntil2p30(s85)
    | ~ succ(s85,s86) ),
    inference(instantiation,[status(thm)],[c_53855]) ).

tcf(c_53860,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s86)
      | ~ succ(s86,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53863,plain,
    ( until2p29(s87)
    | ~ xuntil2p30(s86)
    | ~ succ(s86,s87) ),
    inference(instantiation,[status(thm)],[c_53860]) ).

tcf(c_53865,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s87)
      | ~ succ(s87,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53868,plain,
    ( until2p29(s88)
    | ~ xuntil2p30(s87)
    | ~ succ(s87,s88) ),
    inference(instantiation,[status(thm)],[c_53865]) ).

tcf(c_53870,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s88)
      | ~ succ(s88,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53873,plain,
    ( until2p29(s89)
    | ~ xuntil2p30(s88)
    | ~ succ(s88,s89) ),
    inference(instantiation,[status(thm)],[c_53870]) ).

tcf(c_53881,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s91)
      | ~ succ(s91,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53884,plain,
    ( until2p29(s92)
    | ~ xuntil2p30(s91)
    | ~ succ(s91,s92) ),
    inference(instantiation,[status(thm)],[c_53881]) ).

tcf(c_53886,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s92)
      | ~ succ(s92,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53889,plain,
    ( until2p29(s93)
    | ~ xuntil2p30(s92)
    | ~ succ(s92,s93) ),
    inference(instantiation,[status(thm)],[c_53886]) ).

tcf(c_53891,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s93)
      | ~ succ(s93,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53894,plain,
    ( until2p29(s94)
    | ~ xuntil2p30(s93)
    | ~ succ(s93,s94) ),
    inference(instantiation,[status(thm)],[c_53891]) ).

tcf(c_53896,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s94)
      | ~ succ(s94,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53899,plain,
    ( until2p29(s95)
    | ~ xuntil2p30(s94)
    | ~ succ(s94,s95) ),
    inference(instantiation,[status(thm)],[c_53896]) ).

tcf(c_53904,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s96)
      | ~ succ(s96,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53907,plain,
    ( until2p29(s97)
    | ~ xuntil2p30(s96)
    | ~ succ(s96,s97) ),
    inference(instantiation,[status(thm)],[c_53904]) ).

tcf(c_53908,plain,
    ( xuntil2p30(s97)
    | node26(s97)
    | ~ until2p29(s97) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_53909,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s97)
      | ~ succ(s97,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53912,plain,
    ( until2p29(s98)
    | ~ xuntil2p30(s97)
    | ~ succ(s97,s98) ),
    inference(instantiation,[status(thm)],[c_53909]) ).

tcf(c_53913,plain,
    ( xuntil2p30(s98)
    | node26(s98)
    | ~ until2p29(s98) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_53914,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s98)
      | ~ succ(s98,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53917,plain,
    ( until2p29(s99)
    | ~ xuntil2p30(s98)
    | ~ succ(s98,s99) ),
    inference(instantiation,[status(thm)],[c_53914]) ).

tcf(c_53922,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s100)
      | ~ succ(s100,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53925,plain,
    ( until2p29(s101)
    | ~ xuntil2p30(s100)
    | ~ succ(s100,s101) ),
    inference(instantiation,[status(thm)],[c_53922]) ).

tcf(c_53927,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s101)
      | ~ succ(s101,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53930,plain,
    ( until2p29(s102)
    | ~ xuntil2p30(s101)
    | ~ succ(s101,s102) ),
    inference(instantiation,[status(thm)],[c_53927]) ).

tcf(c_53932,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s102)
      | ~ succ(s102,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53935,plain,
    ( until2p29(s103)
    | ~ xuntil2p30(s102)
    | ~ succ(s102,s103) ),
    inference(instantiation,[status(thm)],[c_53932]) ).

tcf(c_53941,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_53950,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s39,c_n2)
    | ~ node14(s104,s39)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_53987,plain,
    ( until2p29(s40)
    | ~ xuntil2p30(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_53941]) ).

tcf(c_53997,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s67)
      | ~ succ(s67,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54006,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s67,c_n2)
    | ~ node14(s104,s67)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_54096,plain,
    ( until2p29(s68)
    | ~ xuntil2p30(s67)
    | ~ succ(s67,s68) ),
    inference(instantiation,[status(thm)],[c_53997]) ).

tcf(c_54097,plain,
    ( xuntil2p30(s40)
    | node26(s40)
    | ~ until2p29(s40) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_54107,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54116,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s47,c_n2)
    | ~ node14(s104,s47)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_54163,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54166,plain,
    ( until2p29(s48)
    | ~ xuntil2p30(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_54107]) ).

tcf(c_54168,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s68)
      | ~ succ(s68,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54181,plain,
    ( node16(s104)
    | node15(s104)
    | node17(s104,s0)
    | ~ node18(s104,s0) ),
    inference(instantiation,[status(thm)],[c_404]) ).

tcf(c_54401,plain,
    ( until2p29(s41)
    | ~ xuntil2p30(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_54163]) ).

tcf(c_54402,plain,
    ( until2p29(s69)
    | ~ xuntil2p30(s68)
    | ~ succ(s68,s69) ),
    inference(instantiation,[status(thm)],[c_54168]) ).

tcf(c_54404,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54407,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s0,X0)
      | ~ node17(s104,s0)
      | ~ m_main_v_turn(s104,X0) ),
    inference(instantiation,[status(thm)],[c_400]) ).

tcf(c_54430,plain,
    ( until2p29(s49)
    | ~ xuntil2p30(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_54404]) ).

tcf(c_54432,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54436,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s69)
      | ~ succ(s69,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54441,plain,
    ( m_main_v_turn(s0,c_2)
    | ~ node17(s104,s0)
    | ~ m_main_v_turn(s104,c_2) ),
    inference(instantiation,[status(thm)],[c_54407]) ).

tcf(c_54451,plain,
    ( until2p29(s42)
    | ~ xuntil2p30(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_54432]) ).

tcf(c_54452,plain,
    ( until2p29(s70)
    | ~ xuntil2p30(s69)
    | ~ succ(s69,s70) ),
    inference(instantiation,[status(thm)],[c_54436]) ).

tcf(c_54458,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54466,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54676,plain,
    ( until2p29(s50)
    | ~ xuntil2p30(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_54458]) ).

tcf(c_54677,plain,
    ( until2p29(s38)
    | ~ xuntil2p30(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_54466]) ).

tcf(c_54679,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54683,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s70)
      | ~ succ(s70,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54716,plain,
    ( until2p29(s43)
    | ~ xuntil2p30(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_54679]) ).

tcf(c_54717,plain,
    ( until2p29(s71)
    | ~ xuntil2p30(s70)
    | ~ succ(s70,s71) ),
    inference(instantiation,[status(thm)],[c_54683]) ).

tcf(c_54719,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54723,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54738,plain,
    ( until2p29(s51)
    | ~ xuntil2p30(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_54719]) ).

tcf(c_54739,plain,
    ( until2p29(s39)
    | ~ xuntil2p30(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_54723]) ).

tcf(c_54747,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54751,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s71)
      | ~ succ(s71,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54785,plain,
    ( until2p29(s46)
    | ~ xuntil2p30(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_54747]) ).

tcf(c_54786,plain,
    ( until2p29(s72)
    | ~ xuntil2p30(s71)
    | ~ succ(s71,s72) ),
    inference(instantiation,[status(thm)],[c_54751]) ).

tcf(c_54793,plain,
    ( xuntil2p30(s53)
    | node26(s53)
    | ~ until2p29(s53) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_54795,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54799,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54803,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s72)
      | ~ succ(s72,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54806,plain,
    ( until2p29(s54)
    | ~ xuntil2p30(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_54795]) ).

tcf(c_54807,plain,
    ( until2p29(s47)
    | ~ xuntil2p30(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_54799]) ).

tcf(c_54808,plain,
    ( until2p29(s73)
    | ~ xuntil2p30(s72)
    | ~ succ(s72,s73) ),
    inference(instantiation,[status(thm)],[c_54803]) ).

tcf(c_54810,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54814,plain,
    ( until2p29(s55)
    | ~ xuntil2p30(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_54810]) ).

tcf(c_54816,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54819,plain,
    ( until2p29(s56)
    | ~ xuntil2p30(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_54816]) ).

tcf(c_54820,plain,
    ( xuntil2p30(s56)
    | node26(s56)
    | ~ until2p29(s56) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_54821,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54824,plain,
    ( until2p29(s57)
    | ~ xuntil2p30(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_54821]) ).

tcf(c_54826,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54829,plain,
    ( until2p29(s58)
    | ~ xuntil2p30(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_54826]) ).

tcf(c_54831,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54834,plain,
    ( until2p29(s59)
    | ~ xuntil2p30(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_54831]) ).

tcf(c_54836,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s59)
      | ~ succ(s59,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54839,plain,
    ( until2p29(s60)
    | ~ xuntil2p30(s59)
    | ~ succ(s59,s60) ),
    inference(instantiation,[status(thm)],[c_54836]) ).

tcf(c_54840,plain,
    ( xuntil2p30(s60)
    | node26(s60)
    | ~ until2p29(s60) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_54841,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s60)
      | ~ succ(s60,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_54844,plain,
    ( until2p29(s61)
    | ~ xuntil2p30(s60)
    | ~ succ(s60,s61) ),
    inference(instantiation,[status(thm)],[c_54841]) ).

tcf(c_54855,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s35,c_n2)
    | ~ node14(s104,s35)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_54859,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_55327,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s7,c_n1)
      | ~ node6(X0,s7) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55328,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s7)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_55327]) ).

tcf(c_55351,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s23,c_n1)
      | ~ node6(X0,s23) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55352,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s23)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_55351]) ).

tcf(c_55357,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s27,c_n1)
      | ~ node6(X0,s27) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55358,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s27)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_55357]) ).

tcf(c_55363,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s31,c_n1)
      | ~ node6(X0,s31) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55364,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s31)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_55363]) ).

tcf(c_55397,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s55,c_n1)
      | ~ node6(X0,s55) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55398,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s55)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_55397]) ).

tcf(c_55403,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s59,c_n1)
      | ~ node6(X0,s59) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55404,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s59)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_55403]) ).

tcf(c_55409,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s63,c_n1)
      | ~ node6(X0,s63) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55410,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s63)
    | ~ m_main_v_state1(s63,c_n1) ),
    inference(instantiation,[status(thm)],[c_55409]) ).

tcf(c_55420,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s71,c_n1)
      | ~ node6(X0,s71) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55421,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s71)
    | ~ m_main_v_state1(s71,c_n1) ),
    inference(instantiation,[status(thm)],[c_55420]) ).

tcf(c_55426,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s75,c_n1)
      | ~ node6(X0,s75) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55427,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s75)
    | ~ m_main_v_state1(s75,c_n1) ),
    inference(instantiation,[status(thm)],[c_55426]) ).

tcf(c_55432,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s79,c_n1)
      | ~ node6(X0,s79) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55433,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s79)
    | ~ m_main_v_state1(s79,c_n1) ),
    inference(instantiation,[status(thm)],[c_55432]) ).

tcf(c_55438,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s83,c_n1)
      | ~ node6(X0,s83) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55439,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s83)
    | ~ m_main_v_state1(s83,c_n1) ),
    inference(instantiation,[status(thm)],[c_55438]) ).

tcf(c_55444,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s87,c_n1)
      | ~ node6(X0,s87) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55445,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s87)
    | ~ m_main_v_state1(s87,c_n1) ),
    inference(instantiation,[status(thm)],[c_55444]) ).

tcf(c_55450,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s91,c_n1)
      | ~ node6(X0,s91) ),
    inference(instantiation,[status(thm)],[c_366]) ).

tcf(c_55451,plain,
    ( m_main_v_state1(s104,c_n1)
    | ~ node6(s104,s91)
    | ~ m_main_v_state1(s91,c_n1) ),
    inference(instantiation,[status(thm)],[c_55450]) ).

tcf(c_55470,plain,
    ( until2p29(s36)
    | ~ xuntil2p30(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_54859]) ).

tcf(c_55476,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_56605,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s7)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s7) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56606,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s7)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s7) ),
    inference(instantiation,[status(thm)],[c_56605]) ).

tcf(c_56620,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s23)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s23) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56621,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s23)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s23) ),
    inference(instantiation,[status(thm)],[c_56620]) ).

tcf(c_56624,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s27)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s27) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56625,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s27)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s27) ),
    inference(instantiation,[status(thm)],[c_56624]) ).

tcf(c_56628,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s31)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s31) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56629,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s31)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s31) ),
    inference(instantiation,[status(thm)],[c_56628]) ).

tcf(c_56648,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s55)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s55) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56649,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s55)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s55) ),
    inference(instantiation,[status(thm)],[c_56648]) ).

tcf(c_56652,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s59)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s59) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56653,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s59)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s59) ),
    inference(instantiation,[status(thm)],[c_56652]) ).

tcf(c_56656,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s63)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s63) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56657,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s63)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s63) ),
    inference(instantiation,[status(thm)],[c_56656]) ).

tcf(c_56663,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s71)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s71) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56664,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s71)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s71) ),
    inference(instantiation,[status(thm)],[c_56663]) ).

tcf(c_56667,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s75)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s75) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56668,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s75)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s75) ),
    inference(instantiation,[status(thm)],[c_56667]) ).

tcf(c_56671,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s79)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s79) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56672,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s79)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s79) ),
    inference(instantiation,[status(thm)],[c_56671]) ).

tcf(c_56675,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s83)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s83) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56676,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s83)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s83) ),
    inference(instantiation,[status(thm)],[c_56675]) ).

tcf(c_56679,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s87)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s87) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56680,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s87)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s87) ),
    inference(instantiation,[status(thm)],[c_56679]) ).

tcf(c_56683,plain,
    ! [X0: $i] :
      ( node5(X0)
      | node4(X0)
      | node3(X0)
      | node2(X0)
      | node1(X0)
      | node6(X0,s91)
      | m_main_v_state1(X0,c_c1)
      | ~ node7(X0,s91) ),
    inference(instantiation,[status(thm)],[c_373]) ).

tcf(c_56684,plain,
    ( node5(s104)
    | node4(s104)
    | node3(s104)
    | node2(s104)
    | node1(s104)
    | node6(s104,s91)
    | m_main_v_state1(s104,c_c1)
    | ~ node7(s104,s91) ),
    inference(instantiation,[status(thm)],[c_56683]) ).

tcf(c_56694,plain,
    ( until2p29(s6)
    | ~ xuntil2p30(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_55476]) ).

tcf(c_56696,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_56927,plain,
    ( until2p29(s37)
    | ~ xuntil2p30(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_56696]) ).

tcf(c_56930,plain,
    ( always25(s6)
    | ~ node26(s6) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_56940,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s6)
      | ~ trans(s6,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_56964,plain,
    ( always25(s7)
    | ~ always25(s6)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_56940]) ).

tcf(c_56965,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s7)
      | ~ trans(s7,X0) ),
    inference(instantiation,[status(thm)],[c_407]) ).

tcf(c_56970,plain,
    ( always25(s8)
    | ~ always25(s7)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_56965]) ).

tcf(c_56973,plain,
    ( ~ always25(s8)
    | ~ m_main_v_state2(s8,c_c2) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_56975,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_56978,plain,
    ( until2p29(s7)
    | ~ xuntil2p30(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_56975]) ).

tcf(c_56980,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_56983,plain,
    ( until2p29(s8)
    | ~ xuntil2p30(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_56980]) ).

tcf(c_56985,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_56988,plain,
    ( until2p29(s9)
    | ~ xuntil2p30(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_56985]) ).

tcf(c_56990,plain,
    ( always25(s7)
    | ~ node26(s7) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_56999,plain,
    ( xuntil2p30(s16)
    | node26(s16)
    | ~ until2p29(s16) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_57006,plain,
    ( node12(s104)
    | node11(s104)
    | node10(s104)
    | node9(s104)
    | node8(s104)
    | m_main_v_state2(s16,c_n2)
    | ~ node14(s104,s16)
    | ~ m_main_v_state2(s104,c_c2) ),
    inference(instantiation,[status(thm)],[c_393]) ).

tcf(c_57089,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57097,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57275,plain,
    ( until2p29(s17)
    | ~ xuntil2p30(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_57089]) ).

tcf(c_57276,plain,
    ( until2p29(s34)
    | ~ xuntil2p30(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_57097]) ).

tcf(c_57320,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57350,plain,
    ( until2p29(s35)
    | ~ xuntil2p30(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_57320]) ).

tcf(c_57393,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57476,plain,
    ( until2p29(s24)
    | ~ xuntil2p30(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_57393]) ).

tcf(c_57515,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57524,plain,
    ( until2p29(s25)
    | ~ xuntil2p30(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_57515]) ).

tcf(c_57552,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57749,plain,
    ( until2p29(s14)
    | ~ xuntil2p30(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_57552]) ).

tcf(c_57789,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57798,plain,
    ( until2p29(s15)
    | ~ xuntil2p30(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_57789]) ).

tcf(c_57823,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57826,plain,
    ( until2p29(s16)
    | ~ xuntil2p30(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_57823]) ).

tcf(c_57830,plain,
    ( xuntil2p30(s17)
    | node26(s17)
    | ~ until2p29(s17) ),
    inference(instantiation,[status(thm)],[c_415]) ).

tcf(c_57831,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57834,plain,
    ( until2p29(s18)
    | ~ xuntil2p30(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_57831]) ).

tcf(c_57836,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_57839,plain,
    ( until2p29(s19)
    | ~ xuntil2p30(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_57836]) ).

tcf(c_57845,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_58042,plain,
    ( until2p29(s10)
    | ~ xuntil2p30(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_57845]) ).

tcf(c_58085,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_58094,plain,
    ( until2p29(s11)
    | ~ xuntil2p30(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_58085]) ).

tcf(c_58120,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_58123,plain,
    ( until2p29(s12)
    | ~ xuntil2p30(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_58120]) ).

tcf(c_58125,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_58128,plain,
    ( until2p29(s13)
    | ~ xuntil2p30(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_58125]) ).

tcf(c_58134,plain,
    ( always25(s3)
    | ~ node26(s3) ),
    inference(instantiation,[status(thm)],[c_410]) ).

tcf(c_58135,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_58134,c_58128,c_58123,c_58094,c_58042,c_57839,c_57834,c_57830,c_57826,c_57798,c_57749,c_57524,c_57476,c_57350,c_57276,c_57275,c_57006,c_56999,c_56990,c_56988,c_56983,c_56978,c_56973,c_56970,c_56964,c_56930,c_56927,c_56694,c_56684,c_56680,c_56676,c_56672,c_56668,c_56664,c_56657,c_56653,c_56649,c_56629,c_56625,c_56621,c_56606,c_55470,c_55451,c_55445,c_55439,c_55433,c_55427,c_55421,c_55410,c_55404,c_55398,c_55364,c_55358,c_55352,c_55328,c_54855,c_54844,c_54840,c_54839,c_54834,c_54829,c_54824,c_54820,c_54819,c_54814,c_54808,c_54807,c_54806,c_54793,c_54786,c_54785,c_54739,c_54738,c_54717,c_54716,c_54677,c_54676,c_54452,c_54451,c_54441,c_54430,c_54402,c_54401,c_54181,c_54166,c_54116,c_54097,c_54096,c_54006,c_53987,c_53950,c_53935,c_53930,c_53925,c_53917,c_53913,c_53912,c_53908,c_53907,c_53899,c_53894,c_53889,c_53884,c_53873,c_53868,c_53863,c_53858,c_53853,c_53849,c_53848,c_53843,c_53839,c_53838,c_53833,c_53828,c_53823,c_53818,c_53814,c_53809,c_53807,c_53795,c_53792,c_53791,c_53760,c_53759,c_53702,c_53701,c_53579,c_53568,c_53561,c_53556,c_53533,c_53516,c_53472,c_53360,c_53323,c_53292,c_53275,c_53237,c_53048,c_53011,c_52996,c_52991,c_52987,c_52986,c_52981,c_52963,c_52925,c_52714,c_52709,c_52704,c_52700,c_52699,c_52693,c_52687,c_52675,c_52672,c_52658,c_52653,c_52642,c_52628,c_52609,c_52588,c_52578,c_52531,c_52522,c_52519,c_52516,c_52506,c_52504,c_52495,c_52492,c_52489,c_52479,c_52476,c_52473,c_52467,c_52458,c_52455,c_52452,c_52443,c_52441,c_52432,c_52429,c_52426,c_52416,c_52414,c_52404,c_52401,c_52398,c_52389,c_52387,c_52378,c_52375,c_52372,c_52362,c_52360,c_52350,c_52347,c_52344,c_52334,c_52332,c_52322,c_52319,c_52316,c_52306,c_52304,c_52294,c_52291,c_52288,c_52278,c_52276,c_52266,c_52263,c_52260,c_52250,c_52248,c_52242,c_52232,c_52230,c_52220,c_52217,c_52214,c_52204,c_52202,c_52192,c_52189,c_52186,c_52176,c_52170,c_52168,c_52158,c_52155,c_52152,c_52142,c_52140,c_52130,c_52128,c_52119,c_52114,c_52112,c_52102,c_52100,c_52090,c_52088,c_52069,c_52044,c_52020,c_52013,c_51829,c_51776,c_51765,c_51509,c_51502,c_51501,c_51492,c_51489,c_51451,c_51444,c_51432,c_51315,c_51300,c_51298,c_51295,c_51294,c_51290,c_51288,c_51285,c_51281,c_51280,c_51278,c_51274,c_51271,c_51269,c_51266,c_51262,c_51261,c_51257,c_51256,c_51254,c_51251,c_51247,c_51246,c_51244,c_51241,c_51237,c_51233,c_51232,c_51230,c_51227,c_51225,c_51222,c_51220,c_51217,c_51215,c_51212,c_51211,c_51207,c_51205,c_51202,c_51201,c_51196,c_51193,c_51189,c_51188,c_51186,c_51183,c_51182,c_51178,c_51174,c_51173,c_51171,c_51168,c_51164,c_51163,c_51161,c_51157,c_51154,c_51152,c_51149,c_51148,c_51144,c_51142,c_51139,c_51137,c_51134,c_51133,c_51129,c_51125,c_51124,c_51122,c_51116,c_51115,c_51111,c_51110,c_51108,c_51105,c_51101,c_51100,c_51098,c_51095,c_51093,c_51090,c_51086,c_51085,c_51083,c_51080,c_51078,c_51075,c_51073,c_51070,c_51069,c_51065,c_51063,c_51059,c_51056,c_51055,c_51051,c_51049,c_51046,c_51044,c_51038,c_51037,c_51035,c_51032,c_51028,c_51027,c_51025,c_51022,c_51020,c_51017,c_51015,c_51012,c_51008,c_51007,c_51006,c_51001,c_50998,c_50997,c_50993,c_50991,c_50988,c_50986,c_50983,c_50979,c_50978,c_50976,c_50973,c_50971,c_50968,c_50966,c_50962,c_50959,c_50958,c_50954,c_50952,c_50949,c_50945,c_50944,c_50942,c_50939,c_50935,c_50934,c_50932,c_50929,c_50925,c_50923,c_50920,c_50918,c_50915,c_50911,c_50910,c_50908,c_50905,c_50904,c_50900,c_50898,c_50895,c_50893,c_50890,c_50888,c_50884,c_50881,c_50879,c_50876,c_50874,c_50871,c_50869,c_50866,c_50865,c_50859,c_50854,c_50849,c_50843,c_50842,c_50840,c_50837,c_50835,c_50832,c_50828,c_50827,c_50825,c_50822,c_50820,c_50817,c_50813,c_50810,c_50805,c_50803,c_50801,c_50693,c_50689,c_50688,c_50682,c_50681,c_50675,c_50674,c_50668,c_50667,c_50653,c_50651,c_50650,c_50644,c_50643,c_50636,c_50635,c_50634,c_50619,c_50616,c_50611,c_50603,c_50602,c_50601,c_50587,c_50585,c_50584,c_50570,c_50568,c_50567,c_50560,c_50559,c_50558,c_50551,c_50550,c_50549,c_50543,c_50542,c_50528,c_50526,c_50525,c_50519,c_50518,c_50512,c_50511,c_50497,c_50495,c_50494,c_50488,c_50487,c_50480,c_50479,c_50478,c_50471,c_50467,c_50466,c_50465,c_50452,c_50450,c_50449,c_50435,c_50433,c_50432,c_50425,c_50424,c_50423,c_50409,c_50403,c_50395,c_50394,c_50393,c_50387,c_50386,c_50372,c_50370,c_50369,c_50363,c_50362,c_50355,c_50354,c_50353,c_50347,c_50346,c_50340,c_50339,c_50333,c_50332,c_50326,c_50325,c_50319,c_50318,c_50312,c_50311,c_50305,c_50304,c_50290,c_50284,c_50276,c_50275,c_50274,c_50268,c_50267,c_50253,c_50251,c_50250,c_50244,c_50243,c_50237,c_50236,c_50230,c_50229,c_50223,c_50222,c_50216,c_50215,c_50209,c_50208,c_50202,c_50201,c_50195,c_50194,c_50188,c_50187,c_50180,c_50179,c_50178,c_50172,c_50171,c_50165,c_50164,c_50158,c_50157,c_50151,c_50150,c_50144,c_50143,c_50137,c_50136,c_50130,c_50129,c_50123,c_50122,c_50116,c_50115,c_50109,c_50108,c_50102,c_50101,c_50095,c_50094,c_50088,c_50087,c_50081,c_50080,c_50074,c_50073,c_50067,c_50066,c_50060,c_50059,c_50053,c_50052,c_50046,c_50045,c_50039,c_50038,c_50032,c_50031,c_50025,c_50024,c_50018,c_50017,c_50011,c_50010,c_50004,c_50003,c_49997,c_49996,c_49990,c_49989,c_49983,c_49982,c_49976,c_49975,c_49969,c_49968,c_49962,c_49961,c_49955,c_49954,c_49948,c_49947,c_49941,c_49940,c_49934,c_49933,c_49927,c_49926,c_49920,c_49919,c_49913,c_49912,c_49906,c_49905,c_49899,c_49898,c_49892,c_49891,c_49885,c_49884,c_49878,c_49877,c_49871,c_49870,c_49864,c_49863,c_49857,c_49856,c_49850,c_49849,c_49843,c_49842,c_49836,c_49835,c_49829,c_49828,c_49822,c_49821,c_49815,c_49814,c_49808,c_49807,c_49791,c_47986,c_47868,c_47726,c_47716,c_46206,c_45983,c_45969,c_45805,c_45705,c_45355,c_44967,c_44726,c_43749,c_43725,c_43636,c_43630,c_43612,c_43594,c_43487,c_41454,c_41452,c_41185,c_41149,c_40633,c_40565,c_40423,c_40420,c_40129,c_38948,c_38857,c_38586,c_38565,c_38257,c_37741,c_37733,c_37732,c_37729,c_37728,c_37525,c_37470,c_37457,c_37444,c_37352,c_37253,c_37100,c_37086,c_37080,c_36934,c_36900,c_36888,c_36838,c_36803,c_36781,c_36402,c_36385,c_36374,c_36303,c_36276,c_36254,c_36259,c_36249,c_36186,c_36143,c_35992,c_35448,c_35449,c_35161,c_34982,c_34833,c_34805,c_33738,c_33692,c_33614,c_33560,c_33519,c_33481,c_33462,c_33454,c_33372,c_32745,c_32734,c_32623,c_32621,c_32608,c_32542,c_32533,c_32443,c_32432,c_32413,c_31773,c_31604,c_31485,c_31338,c_31280,c_31242,c_31203,c_31091,c_31079,c_31011,c_30997,c_30882,c_30877,c_30798,c_30787,c_30553,c_30274,c_30140,c_30033,c_29968,c_29959,c_29917,c_29907,c_29906,c_29889,c_29838,c_29825,c_29559,c_29554,c_29514,c_29507,c_29492,c_29459,c_29432,c_29407,c_29354,c_29245,c_29223,c_29219,c_29199,c_29165,c_29161,c_29157,c_29154,c_29029,c_29000,c_28993,c_28980,c_28977,c_28974,c_28782,c_28778,c_28754,c_28724,c_28693,c_28580,c_28365,c_28338,c_28326,c_28299,c_28273,c_28186,c_28130,c_28044,c_27981,c_27970,c_27898,c_27896,c_27892,c_27864,c_27795,c_27645,c_27600,c_27580,c_27566,c_27496,c_27423,c_27321,c_27114,c_27071,c_27054,c_26964,c_26932,c_26729,c_26707,c_26692,c_26502,c_26467,c_26457,c_26386,c_26350,c_26346,c_26324,c_26289,c_26287,c_26249,c_26217,c_26146,c_26123,c_26021,c_26013,c_25990,c_25978,c_25969,c_25942,c_25929,c_25921,c_25915,c_25901,c_25877,c_25826,c_25764,c_25724,c_25697,c_25666,c_25651,c_25642,c_25596,c_25494,c_25482,c_25470,c_25399,c_25376,c_25246,c_25176,c_25174,c_25084,c_25054,c_25053,c_25047,c_25016,c_24999,c_24751,c_24698,c_24694,c_24356,c_24342,c_24314,c_24312,c_24310,c_24306,c_24303,c_24302,c_24300,c_24295,c_24290,c_24286,c_24273,c_24263,c_24227,c_24177,c_24020,c_24018,c_23996,c_23981,c_23979,c_23934,c_23909,c_23899,c_23894,c_23869,c_23860,c_23791,c_23706,c_23656,c_23654,c_23335,c_23266,c_23263,c_23260,c_23256,c_23254,c_23249,c_23247,c_23213,c_23209,c_23135,c_22933,c_22916,c_22661,c_22492,c_22485,c_22476,c_22431,c_22336,c_22312,c_22268,c_22260,c_22244,c_22234,c_22217,c_22216,c_22160,c_22109,c_22078,c_22047,c_22038,c_22022,c_22019,c_22007,c_22001,c_21893,c_21875,c_21830,c_21827,c_21794,c_21758,c_21747,c_21720,c_21644,c_21640,c_21598,c_21541,c_21539,c_21486,c_21017,c_21014,c_20888,c_20760,c_20758,c_20716,c_20711,c_20703,c_20664,c_20663,c_20661,c_20642,c_20641,c_20630,c_20627,c_20616,c_20598,c_20591,c_20592,c_20566,c_20568,c_20496,c_20483,c_20487,c_20479,c_20461,c_20351,c_20333,c_20019,c_19901,c_19903,c_19842,c_19841,c_19840,c_19748,c_19720,c_19547,c_19186,c_19181,c_19142,c_19130,c_19122,c_19108,c_19086,c_19077,c_19078,c_19079,c_19073,c_19043,c_19022,c_19014,c_19003,c_18994,c_18983,c_18974,c_18966,c_18950,c_18926,c_18895,c_18842,c_18834,c_18820,c_18765,c_18719,c_18711,c_18699,c_18681,c_18668,c_18656,c_18645,c_18634,c_18498,c_18410,c_18394,c_18395,c_18396,c_18246,c_18122,c_18094,c_17730,c_17702,c_16970,c_16944,c_16923,c_16920,c_16899,c_16896,c_16892,c_16887,c_16885,c_16883,c_16881,c_16879,c_16877,c_16875,c_16873,c_16871,c_16869,c_16867,c_16865,c_16863,c_16861,c_16859,c_16857,c_16855,c_16853,c_16851,c_16849,c_16847,c_16845,c_16843,c_16537,c_16265,c_16249,c_16015,c_15869,c_15375,c_15345,c_15303,c_15283,c_15239,c_15227,c_15215,c_15179,c_15177,c_15173,c_15169,c_15165,c_15157,c_15153,c_15145,c_15141,c_15137,c_15125,c_15121,c_15105,c_15037,c_15035,c_15030,c_15017,c_15014,c_15005,c_15002,c_14839,c_14833,c_14820,c_14816,c_14812,c_14628,c_14618,c_14597,c_14585,c_14569,c_14549,c_14512,c_14495,c_14483,c_14464,c_14439,c_14422,c_14410,c_14385,c_14371,c_14358,c_14277,c_14087,c_14031,c_13989,c_13973,c_13960,c_13957,c_13923,c_13917,c_13913,c_13909,c_13749,c_13105,c_13099,c_13093,c_13091,c_13084,c_13078,c_13027,c_13021,c_12992,c_12985,c_12950,c_12909,c_12906,c_12840,c_12759,c_12756,c_12753,c_12741,c_12728,c_12727,c_12724,c_12712,c_12703,c_12700,c_12697,c_12694,c_12672,c_12427,c_12410,c_12265,c_12263,c_12257,c_12251,c_12245,c_12243,c_12241,c_12239,c_12156,c_12137,c_12109,c_12103,c_12098,c_12093,c_12083,c_12074,c_12072,c_11969,c_11959,c_11949,c_11939,c_11909,c_11899,c_11891,c_11889,c_11751,c_11741,c_11731,c_11721,c_11711,c_11693,c_11688,c_11686,c_11671,c_11665,c_11660,c_11643,c_11636,c_11575,c_11574,c_11573,c_11572,c_11571,c_11570,c_11569,c_11568,c_11567,c_11566,c_11565,c_11564,c_11563,c_11529,c_11528,c_11527,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,c_2074,c_2065,c_2066,c_2047,c_2031,c_2032,c_2016,c_2013,c_1997,c_1998,c_1982,c_1979,c_1972,c_1963,c_1964,c_1948,c_1945,c_1929,c_1930,c_1914,c_1911,c_1895,c_1896,c_1877,c_1861,c_1862,c_1846,c_1843,c_1827,c_1828,c_1816,c_1812,c_1809,c_1804,c_1801,c_1774,c_1770,c_1760,c_1757,c_1751,c_1747,c_1738,c_1728,c_1725,c_1719,c_1715,c_1706,c_1696,c_1693,c_1687,c_1683,c_1674,c_1664,c_1661,c_1655,c_1651,c_1642,c_1632,c_1629,c_1623,c_1619,c_1610,c_1600,c_1597,c_1591,c_1587,c_1578,c_1568,c_1565,c_1555,c_1546,c_1536,c_1533,c_1527,c_1523,c_1514,c_1504,c_1501,c_1491,c_1482,c_1472,c_1469,c_1459,c_1450,c_1440,c_1437,c_1427,c_1418,c_1408,c_1405,c_1399,c_1395,c_1386,c_1376,c_1373,c_1367,c_1363,c_1354,c_1344,c_1341,c_1331,c_1322,c_1312,c_1309,c_1303,c_1299,c_1290,c_1280,c_1277,c_1271,c_1267,c_1258,c_1248,c_1245,c_1239,c_1235,c_1226,c_1216,c_1213,c_1207,c_1203,c_1194,c_1184,c_1181,c_1171,c_1162,c_1152,c_1149,c_1143,c_1139,c_1130,c_1120,c_1117,c_1111,c_1107,c_1098,c_1088,c_1085,c_1079,c_1075,c_1066,c_1056,c_1053,c_1047,c_1043,c_1034,c_1024,c_1021,c_1011,c_1002,c_992,c_989,c_983,c_979,c_970,c_960,c_956,c_952,c_950,c_942,c_922,c_924,c_918,c_919,c_920,c_916,c_917,c_912,c_913,c_914,c_910,c_911,c_907,c_908,c_904,c_905,c_900,c_901,c_902,c_898,c_899,c_895,c_896,c_892,c_893,c_888,c_889,c_890,c_886,c_887,c_882,c_883,c_884,c_880,c_881,c_876,c_877,c_878,c_874,c_875,c_870,c_871,c_872,c_868,c_869,c_864,c_865,c_866,c_862,c_863,c_859,c_860,c_856,c_857,c_852,c_853,c_854,c_850,c_851,c_847,c_848,c_844,c_845,c_841,c_842,c_838,c_839,c_834,c_835,c_836,c_832,c_833,c_828,c_829,c_830,c_826,c_827,c_822,c_823,c_824,c_820,c_821,c_817,c_818,c_814,c_815,c_810,c_811,c_812,c_808,c_809,c_805,c_806,c_802,c_803,c_798,c_799,c_800,c_796,c_797,c_793,c_794,c_790,c_791,c_787,c_788,c_784,c_785,c_780,c_781,c_782,c_778,c_779,c_774,c_775,c_776,c_772,c_773,c_768,c_769,c_770,c_766,c_767,c_762,c_763,c_764,c_760,c_761,c_757,c_758,c_754,c_755,c_751,c_752,c_748,c_749,c_744,c_745,c_746,c_742,c_743,c_738,c_739,c_740,c_736,c_737,c_732,c_733,c_734,c_730,c_731,c_726,c_727,c_728,c_724,c_725,c_720,c_721,c_722,c_718,c_719,c_714,c_715,c_716,c_712,c_713,c_708,c_709,c_710,c_706,c_707,c_702,c_703,c_704,c_700,c_701,c_697,c_698,c_694,c_695,c_691,c_692,c_688,c_689,c_684,c_685,c_686,c_682,c_683,c_678,c_679,c_680,c_676,c_677,c_672,c_673,c_674,c_670,c_671,c_666,c_667,c_668,c_664,c_665,c_660,c_661,c_662,c_658,c_659,c_654,c_655,c_656,c_652,c_653,c_648,c_649,c_650,c_646,c_647,c_643,c_644,c_640,c_641,c_637,c_638,c_634,c_635,c_631,c_632,c_628,c_629,c_624,c_625,c_626,c_622,c_623,c_619,c_620,c_616,c_617,c_612,c_613,c_614,c_609,c_610,c_611,c_597,c_601,c_602,c_594,c_593,c_592,c_591,c_590,c_589,c_588,c_587,c_586,c_585,c_584,c_583,c_582,c_581,c_580,c_579,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_340,c_481,c_464,c_462,c_460,c_459,c_458,c_455,c_453,c_451,c_450,c_449,c_447,c_445,c_443,c_440,c_437,c_436,c_433,c_431,c_429,c_428,c_425,c_423,c_420,c_419,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_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_351,c_352,c_353,c_338,c_418]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV422-1.105 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n017.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 19:35:16 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40  Running EPR theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 31.42/4.63  % SZS status Started for theBenchmark.p
% 31.42/4.63  % SZS status Unsatisfiable for theBenchmark.p
% 31.42/4.63  
% 31.42/4.63  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 31.42/4.63  
% 31.42/4.63  % ------  iProver source info
% 31.42/4.63  
% 31.42/4.63  % git: date: 2026-07-19 20:42:38 +0200
% 31.42/4.63  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 31.42/4.63  % git: non_committed_changes: false
% 31.42/4.63  
% 31.42/4.63  % ------ Parsing...% successful
% 31.42/4.63  
% 31.42/4.63  
% 31.42/4.63  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 31.42/4.63  % ------ Proving...
% 31.42/4.63  % ------ Problem Properties 
% 31.42/4.63  
% 31.42/4.63  % 
% 31.42/4.63  % clauses                               185
% 31.42/4.63  % conjectures                           13
% 31.42/4.63  % EPR                                   185
% 31.42/4.63  % Horn                                  165
% 31.42/4.63  % unary                                 109
% 31.42/4.63  % binary                                42
% 31.42/4.63  % lits                                  455
% 31.42/4.63  % lits eq                               0
% 31.42/4.63  % fd_pure                               0
% 31.42/4.63  % fd_pseudo                             0
% 31.42/4.63  % fd_cond                               0
% 31.42/4.63  % fd_pseudo_cond                        0
% 31.42/4.63  % AC symbols                            0
% 31.42/4.63  
% 31.42/4.63  % ------ Input Options Time Limit: Unbounded
% 31.42/4.63  
% 31.42/4.63  
% 31.42/4.63  % ------ 
% 31.42/4.63  % Current options:
% 31.42/4.63  % ------ 
% 31.42/4.63  
% 31.42/4.63  
% 31.42/4.63  % 
% 31.42/4.63  
% 31.42/4.63  % ------ Proving...
% 31.42/4.63  % 
% 31.42/4.63  
% 31.42/4.63  % SZS status Unsatisfiable for theBenchmark.p
% 31.42/4.63  
% 31.42/4.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.03/4.74  
% 32.03/4.74  
%------------------------------------------------------------------------------