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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV422-1.060 : 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 03:20:38 PM UTC 2026

% Result   : Unsatisfiable 18.75s 3.24s
% Output   : CNFRefutation 18.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :  134
% Syntax   : Number of formulae    : 2077 ( 129 unt;   0 def)
%            Number of atoms       : 6077 (   0 equ)
%            Maximal formula atoms :   61 (   2 avg)
%            Number of connectives : 7160 (3160   ~;4000   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   61 (   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    :   68 (  68 usr;  68 con; 0-0 aty)
%            Number of variables   :  512 (   0 sgn 512   !;   0   ?; 409   :)

% 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,
    last(s59),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound60) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( trans(X0,X1)
      | ~ succ(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound61) ).

fof(f62,axiom,
    ( trans(s59,s59)
    | trans(s59,s58)
    | trans(s59,s57)
    | trans(s59,s56)
    | trans(s59,s55)
    | trans(s59,s54)
    | trans(s59,s53)
    | trans(s59,s52)
    | trans(s59,s51)
    | trans(s59,s50)
    | trans(s59,s49)
    | trans(s59,s48)
    | trans(s59,s47)
    | trans(s59,s46)
    | trans(s59,s45)
    | trans(s59,s44)
    | trans(s59,s43)
    | trans(s59,s42)
    | trans(s59,s41)
    | trans(s59,s40)
    | trans(s59,s39)
    | trans(s59,s38)
    | trans(s59,s37)
    | trans(s59,s36)
    | trans(s59,s35)
    | trans(s59,s34)
    | trans(s59,s33)
    | trans(s59,s32)
    | trans(s59,s31)
    | trans(s59,s30)
    | trans(s59,s29)
    | trans(s59,s28)
    | trans(s59,s27)
    | trans(s59,s26)
    | trans(s59,s25)
    | trans(s59,s24)
    | trans(s59,s23)
    | trans(s59,s22)
    | trans(s59,s21)
    | trans(s59,s20)
    | trans(s59,s19)
    | trans(s59,s18)
    | trans(s59,s17)
    | trans(s59,s16)
    | trans(s59,s15)
    | trans(s59,s14)
    | trans(s59,s13)
    | trans(s59,s12)
    | trans(s59,s11)
    | trans(s59,s10)
    | trans(s59,s9)
    | trans(s59,s8)
    | trans(s59,s7)
    | trans(s59,s6)
    | trans(s59,s5)
    | trans(s59,s4)
    | trans(s59,s3)
    | trans(s59,s2)
    | trans(s59,s1)
    | trans(s59,s0)
    | ~ loop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bound62) ).

fof(f64,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(f65,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(f66,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(f68,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(f69,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(f70,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(f72,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(f73,axiom,
    m_main_v_state1(s0,c_n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_11) ).

fof(f74,axiom,
    m_main_v_state2(s0,c_n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_12) ).

fof(f75,axiom,
    m_main_v_turn(s0,c_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_13) ).

fof(f76,axiom,
    ! [X0] :
      ( ~ node1(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_14) ).

fof(f77,axiom,
    ! [X0] :
      ( ~ node1(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_15) ).

fof(f78,axiom,
    ! [X0] :
      ( ~ node2(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_16) ).

fof(f79,axiom,
    ! [X0] :
      ( ~ node2(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_17) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ node3(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_18) ).

fof(f81,axiom,
    ! [X0] :
      ( ~ node3(X0)
      | m_main_v_state2(X0,c_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_19) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ node4(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_20) ).

fof(f83,axiom,
    ! [X0] :
      ( ~ node4(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_21) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_22) ).

fof(f85,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_23) ).

fof(f86,axiom,
    ! [X0] :
      ( ~ node5(X0)
      | m_main_v_turn(X0,c_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_24) ).

fof(f87,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(f88,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(f89,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(f90,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(f92,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(f93,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(f94,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(f95,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(f96,axiom,
    ! [X0,X1] :
      ( node7(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_34) ).

fof(f97,axiom,
    ! [X0] :
      ( ~ node8(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_35) ).

fof(f98,axiom,
    ! [X0] :
      ( ~ node8(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_36) ).

fof(f99,axiom,
    ! [X0] :
      ( ~ node9(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_37) ).

fof(f100,axiom,
    ! [X0] :
      ( ~ node9(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_38) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ node10(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_39) ).

fof(f102,axiom,
    ! [X0] :
      ( ~ node10(X0)
      | m_main_v_state1(X0,c_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_40) ).

fof(f103,axiom,
    ! [X0] :
      ( ~ node11(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_41) ).

fof(f104,axiom,
    ! [X0] :
      ( ~ node11(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_42) ).

fof(f105,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_43) ).

fof(f106,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_44) ).

fof(f107,axiom,
    ! [X0] :
      ( ~ node12(X0)
      | m_main_v_turn(X0,c_2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_45) ).

fof(f108,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(f109,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(f110,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(f111,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(f113,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(f115,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(f116,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(f117,axiom,
    ! [X0,X1] :
      ( node14(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_55) ).

fof(f118,axiom,
    ! [X0] :
      ( ~ node15(X0)
      | m_main_v_state1(X0,c_n1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_56) ).

fof(f119,axiom,
    ! [X0] :
      ( ~ node15(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_57) ).

fof(f120,axiom,
    ! [X0] :
      ( ~ node16(X0)
      | m_main_v_state2(X0,c_n2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_58) ).

fof(f121,axiom,
    ! [X0] :
      ( ~ node16(X0)
      | m_main_v_state1(X0,c_t1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_59) ).

fof(f122,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(f123,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_61) ).

fof(f124,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(f125,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(f126,axiom,
    ! [X0,X1] :
      ( ~ node18(X0,X1)
      | node17(X0,X1)
      | node16(X0)
      | node15(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_64) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( node18(X0,X1)
      | ~ trans(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_main_65) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( ~ always25(X0)
      | ~ m_main_v_state2(X0,c_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty14) ).

fof(f129,negated_conjecture,
    ! [X0,X1] :
      ( ~ always25(X1)
      | ~ trans(X1,X0)
      | always25(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty15) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( ~ last(X0)
      | ~ always25(X0)
      | loop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty16) ).

fof(f131,negated_conjecture,
    ! [X0] :
      ( ~ node26(X0)
      | m_main_v_state2(X0,c_t2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty17) ).

fof(f132,negated_conjecture,
    ! [X0] :
      ( ~ node26(X0)
      | always25(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty18) ).

fof(f133,negated_conjecture,
    ! [X0] :
      ( ~ until27(X0)
      | xuntil28(X0)
      | node26(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty19) ).

fof(f134,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil28(X1)
      | ~ succ(X1,X0)
      | until27(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty20) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( ~ xuntil28(X0)
      | ~ last(X0)
      | loop ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty21) ).

fof(f136,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil28(X1)
      | ~ last(X1)
      | ~ trans(X1,X0)
      | until2p29(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty22) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( ~ until2p29(X0)
      | xuntil2p30(X0)
      | node26(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty23) ).

fof(f138,negated_conjecture,
    ! [X0,X1] :
      ( ~ xuntil2p30(X1)
      | ~ succ(X1,X0)
      | until2p29(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty24) ).

fof(f139,negated_conjecture,
    ! [X0] :
      ( ~ xuntil2p30(X0)
      | ~ last(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty25) ).

fof(f140,negated_conjecture,
    until27(s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prpty26) ).

tcf(c_189,plain,
    succ(s0,s1),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_190,plain,
    succ(s1,s2),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_191,plain,
    succ(s2,s3),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_192,plain,
    succ(s3,s4),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_193,plain,
    succ(s4,s5),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_194,plain,
    succ(s5,s6),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_195,plain,
    succ(s6,s7),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_196,plain,
    succ(s7,s8),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_197,plain,
    succ(s8,s9),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_198,plain,
    succ(s9,s10),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_199,plain,
    succ(s10,s11),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_200,plain,
    succ(s11,s12),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_201,plain,
    succ(s12,s13),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_202,plain,
    succ(s13,s14),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_203,plain,
    succ(s14,s15),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_204,plain,
    succ(s15,s16),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_205,plain,
    succ(s16,s17),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_206,plain,
    succ(s17,s18),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_207,plain,
    succ(s18,s19),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_208,plain,
    succ(s19,s20),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_209,plain,
    succ(s20,s21),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_210,plain,
    succ(s21,s22),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_211,plain,
    succ(s22,s23),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_212,plain,
    succ(s23,s24),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_213,plain,
    succ(s24,s25),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_214,plain,
    succ(s25,s26),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_215,plain,
    succ(s26,s27),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_216,plain,
    succ(s27,s28),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_217,plain,
    succ(s28,s29),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_218,plain,
    succ(s29,s30),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_219,plain,
    succ(s30,s31),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_220,plain,
    succ(s31,s32),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_221,plain,
    succ(s32,s33),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_222,plain,
    succ(s33,s34),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_223,plain,
    succ(s34,s35),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_224,plain,
    succ(s35,s36),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_225,plain,
    succ(s36,s37),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_226,plain,
    succ(s37,s38),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_227,plain,
    succ(s38,s39),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_228,plain,
    succ(s39,s40),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_229,plain,
    succ(s40,s41),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_230,plain,
    succ(s41,s42),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_231,plain,
    succ(s42,s43),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_232,plain,
    succ(s43,s44),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_233,plain,
    succ(s44,s45),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_234,plain,
    succ(s45,s46),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_235,plain,
    succ(s46,s47),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_236,plain,
    succ(s47,s48),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_237,plain,
    succ(s48,s49),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_238,plain,
    succ(s49,s50),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_239,plain,
    succ(s50,s51),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_240,plain,
    succ(s51,s52),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_241,plain,
    succ(s52,s53),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_242,plain,
    succ(s53,s54),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_243,plain,
    succ(s54,s55),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_244,plain,
    succ(s55,s56),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_245,plain,
    succ(s56,s57),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_246,plain,
    succ(s57,s58),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_247,plain,
    succ(s58,s59),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_248,plain,
    last(s59),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_249,plain,
    ! [X0: $i,X1: $i] :
      ( trans(X0,X1)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_250,plain,
    ( trans(s59,s59)
    | trans(s59,s58)
    | trans(s59,s57)
    | trans(s59,s56)
    | trans(s59,s55)
    | trans(s59,s54)
    | trans(s59,s53)
    | trans(s59,s52)
    | trans(s59,s51)
    | trans(s59,s50)
    | trans(s59,s49)
    | trans(s59,s48)
    | trans(s59,s47)
    | trans(s59,s46)
    | trans(s59,s45)
    | trans(s59,s44)
    | trans(s59,s43)
    | trans(s59,s42)
    | trans(s59,s41)
    | trans(s59,s40)
    | trans(s59,s39)
    | trans(s59,s38)
    | trans(s59,s37)
    | trans(s59,s36)
    | trans(s59,s35)
    | trans(s59,s34)
    | trans(s59,s33)
    | trans(s59,s32)
    | trans(s59,s31)
    | trans(s59,s30)
    | trans(s59,s29)
    | trans(s59,s28)
    | trans(s59,s27)
    | trans(s59,s26)
    | trans(s59,s25)
    | trans(s59,s24)
    | trans(s59,s23)
    | trans(s59,s22)
    | trans(s59,s21)
    | trans(s59,s20)
    | trans(s59,s19)
    | trans(s59,s18)
    | trans(s59,s17)
    | trans(s59,s16)
    | trans(s59,s15)
    | trans(s59,s14)
    | trans(s59,s13)
    | trans(s59,s12)
    | trans(s59,s11)
    | trans(s59,s10)
    | trans(s59,s9)
    | trans(s59,s8)
    | trans(s59,s7)
    | trans(s59,s6)
    | trans(s59,s5)
    | trans(s59,s4)
    | trans(s59,s3)
    | trans(s59,s2)
    | trans(s59,s1)
    | trans(s59,s0)
    | ~ loop ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_252,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_253,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_254,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state1(X0,c_c1)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_256,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_257,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_258,plain,
    ! [X0: $i] :
      ( ~ m_main_v_state2(X0,c_c2)
      | ~ m_main_v_state2(X0,c_t2) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_260,plain,
    ! [X0: $i] :
      ( ~ m_main_v_turn(X0,c_2)
      | ~ m_main_v_turn(X0,c_1) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_261,plain,
    m_main_v_state1(s0,c_n1),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_262,plain,
    m_main_v_state2(s0,c_n2),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_263,plain,
    m_main_v_turn(s0,c_1),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_264,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node1(X0) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_265,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node1(X0) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_266,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node2(X0) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_267,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node2(X0) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_268,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node3(X0) ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_269,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_c2)
      | ~ node3(X0) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_270,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node4(X0) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_271,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node4(X0) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_272,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_273,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_274,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_1)
      | ~ node5(X0) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_275,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,[],[f87]) ).

tcf(c_276,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,[],[f88]) ).

tcf(c_277,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,[],[f89]) ).

tcf(c_278,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,[],[f90]) ).

tcf(c_280,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,[],[f92]) ).

tcf(c_281,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,[],[f93]) ).

tcf(c_282,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,[],[f94]) ).

tcf(c_283,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,[],[f95]) ).

tcf(c_284,plain,
    ! [X0: $i,X1: $i] :
      ( node7(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_285,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node8(X0) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_286,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node8(X0) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_287,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node9(X0) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_288,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node9(X0) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_289,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node10(X0) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_290,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_c1)
      | ~ node10(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_291,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node11(X0) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_292,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node11(X0) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_293,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_294,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_295,plain,
    ! [X0: $i] :
      ( m_main_v_turn(X0,c_2)
      | ~ node12(X0) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_296,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,[],[f108]) ).

tcf(c_297,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,[],[f109]) ).

tcf(c_298,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,[],[f110]) ).

tcf(c_299,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,[],[f111]) ).

tcf(c_301,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,[],[f113]) ).

tcf(c_303,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,[],[f115]) ).

tcf(c_304,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,[],[f116]) ).

tcf(c_305,plain,
    ! [X0: $i,X1: $i] :
      ( node14(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_306,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_n1)
      | ~ node15(X0) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_307,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node15(X0) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_308,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_n2)
      | ~ node16(X0) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_309,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ node16(X0) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_310,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,[],[f122]) ).

tcf(c_311,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( m_main_v_turn(X2,X1)
      | ~ node17(X2,X0)
      | ~ m_main_v_turn(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_312,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,[],[f124]) ).

tcf(c_313,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,[],[f125]) ).

tcf(c_314,plain,
    ! [X0: $i,X1: $i] :
      ( node16(X0)
      | node15(X0)
      | node17(X0,X1)
      | ~ node18(X0,X1) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_315,plain,
    ! [X0: $i,X1: $i] :
      ( node18(X0,X1)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_316,negated_conjecture,
    ! [X0: $i] :
      ( ~ always25(X0)
      | ~ m_main_v_state2(X0,c_c2) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_317,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( always25(X1)
      | ~ always25(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_318,negated_conjecture,
    ! [X0: $i] :
      ( loop
      | ~ always25(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_319,negated_conjecture,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ node26(X0) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_320,negated_conjecture,
    ! [X0: $i] :
      ( always25(X0)
      | ~ node26(X0) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_321,negated_conjecture,
    ! [X0: $i] :
      ( xuntil28(X0)
      | node26(X0)
      | ~ until27(X0) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_322,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until27(X1)
      | ~ xuntil28(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_323,negated_conjecture,
    ! [X0: $i] :
      ( loop
      | ~ xuntil28(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_324,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p29(X1)
      | ~ xuntil28(X0)
      | ~ last(X0)
      | ~ trans(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_325,negated_conjecture,
    ! [X0: $i] :
      ( xuntil2p30(X0)
      | node26(X0)
      | ~ until2p29(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_326,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( until2p29(X1)
      | ~ xuntil2p30(X0)
      | ~ succ(X0,X1) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_327,negated_conjecture,
    ! [X0: $i] :
      ( ~ xuntil2p30(X0)
      | ~ last(X0) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_328,negated_conjecture,
    until27(s0),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_329,plain,
    ( always25(s59)
    | ~ node26(s59) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_330,plain,
    ( ~ xuntil2p30(s59)
    | ~ last(s59) ),
    inference(instantiation,[status(thm)],[c_327]) ).

tcf(c_341,plain,
    ( m_main_v_state1(s59,c_c1)
    | ~ node10(s59) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_344,plain,
    ( m_main_v_state2(s59,c_n2)
    | ~ node9(s59) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_345,plain,
    ( m_main_v_state1(s59,c_t1)
    | ~ node8(s59) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_359,plain,
    ( xuntil2p30(s59)
    | node26(s59)
    | ~ until2p29(s59) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_360,plain,
    ( loop
    | ~ xuntil28(s59)
    | ~ last(s59) ),
    inference(instantiation,[status(thm)],[c_323]) ).

tcf(c_361,plain,
    ( xuntil28(s59)
    | node26(s59)
    | ~ until27(s59) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_362,plain,
    ( loop
    | ~ always25(s59)
    | ~ last(s59) ),
    inference(instantiation,[status(thm)],[c_318]) ).

tcf(c_364,plain,
    ( node18(s59,s59)
    | ~ trans(s59,s59) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_373,plain,
    ( ~ m_main_v_state1(s59,c_c1)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_374,plain,
    ( ~ m_main_v_state1(s59,c_t1)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_381,plain,
    ( m_main_v_turn(s59,c_2)
    | ~ node18(s59,s59)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_397,plain,
    ( xuntil28(s0)
    | node26(s0)
    | ~ until27(s0) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_398,plain,
    ( ~ m_main_v_state2(s0,c_t2)
    | ~ m_main_v_state2(s0,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_399,plain,
    ( trans(s0,s1)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_400,plain,
    ( trans(s1,s2)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_401,plain,
    ( trans(s2,s3)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_402,plain,
    ( trans(s3,s4)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_403,plain,
    ( trans(s4,s5)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_404,plain,
    ( trans(s5,s6)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_405,plain,
    ( trans(s6,s7)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_406,plain,
    ( trans(s7,s8)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_407,plain,
    ( trans(s8,s9)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_408,plain,
    ( trans(s9,s10)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_409,plain,
    ( trans(s10,s11)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_410,plain,
    ( trans(s11,s12)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_411,plain,
    ( trans(s12,s13)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_412,plain,
    ( trans(s13,s14)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_413,plain,
    ( trans(s14,s15)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_414,plain,
    ( trans(s15,s16)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_415,plain,
    ( trans(s16,s17)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_416,plain,
    ( trans(s17,s18)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_417,plain,
    ( trans(s18,s19)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_418,plain,
    ( trans(s19,s20)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_419,plain,
    ( trans(s20,s21)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_420,plain,
    ( trans(s21,s22)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_421,plain,
    ( trans(s22,s23)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_422,plain,
    ( trans(s23,s24)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_423,plain,
    ( trans(s24,s25)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_424,plain,
    ( trans(s25,s26)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_425,plain,
    ( trans(s26,s27)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_426,plain,
    ( trans(s27,s28)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_427,plain,
    ( trans(s28,s29)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_428,plain,
    ( trans(s29,s30)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_429,plain,
    ( trans(s30,s31)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_430,plain,
    ( trans(s31,s32)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_431,plain,
    ( trans(s32,s33)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_432,plain,
    ( trans(s33,s34)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_433,plain,
    ( trans(s34,s35)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_434,plain,
    ( trans(s35,s36)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_435,plain,
    ( trans(s36,s37)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_436,plain,
    ( trans(s37,s38)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_437,plain,
    ( trans(s38,s39)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_438,plain,
    ( trans(s39,s40)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_439,plain,
    ( trans(s40,s41)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_440,plain,
    ( trans(s41,s42)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_441,plain,
    ( trans(s42,s43)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_442,plain,
    ( trans(s43,s44)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_443,plain,
    ( trans(s44,s45)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_444,plain,
    ( trans(s45,s46)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_445,plain,
    ( trans(s46,s47)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_446,plain,
    ( trans(s47,s48)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_447,plain,
    ( trans(s48,s49)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_448,plain,
    ( trans(s49,s50)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_449,plain,
    ( trans(s50,s51)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_450,plain,
    ( trans(s51,s52)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_451,plain,
    ( trans(s52,s53)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_452,plain,
    ( trans(s53,s54)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_453,plain,
    ( trans(s54,s55)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_454,plain,
    ( trans(s55,s56)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_455,plain,
    ( trans(s56,s57)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_456,plain,
    ( trans(s57,s58)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_457,plain,
    ( trans(s58,s59)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_458,plain,
    ( ~ m_main_v_state1(s0,c_t1)
    | ~ m_main_v_state1(s0,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_462,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node15(s0) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_466,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node1(s0) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_467,plain,
    ( m_main_v_state2(s0,c_t2)
    | ~ node26(s0) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_474,plain,
    ( node18(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_475,plain,
    ( node14(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_476,plain,
    ( node7(s0,s1)
    | ~ trans(s0,s1) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_477,plain,
    ( node18(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_478,plain,
    ( node14(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_479,plain,
    ( node7(s1,s2)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_480,plain,
    ( node18(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_481,plain,
    ( node14(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_482,plain,
    ( node7(s2,s3)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_483,plain,
    ( node18(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_484,plain,
    ( node14(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_485,plain,
    ( node7(s3,s4)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_487,plain,
    ( node14(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_488,plain,
    ( node7(s4,s5)
    | ~ trans(s4,s5) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_489,plain,
    ( node18(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_490,plain,
    ( node14(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_491,plain,
    ( node7(s5,s6)
    | ~ trans(s5,s6) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_493,plain,
    ( node14(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_494,plain,
    ( node7(s6,s7)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_496,plain,
    ( node14(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_497,plain,
    ( node7(s7,s8)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_499,plain,
    ( node14(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_500,plain,
    ( node7(s8,s9)
    | ~ trans(s8,s9) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_501,plain,
    ( node18(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_502,plain,
    ( node14(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_503,plain,
    ( node7(s9,s10)
    | ~ trans(s9,s10) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_505,plain,
    ( node14(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_506,plain,
    ( node7(s10,s11)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_508,plain,
    ( node14(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_509,plain,
    ( node7(s11,s12)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_511,plain,
    ( node14(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_512,plain,
    ( node7(s12,s13)
    | ~ trans(s12,s13) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_513,plain,
    ( node18(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_514,plain,
    ( node14(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_515,plain,
    ( node7(s13,s14)
    | ~ trans(s13,s14) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_517,plain,
    ( node14(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_518,plain,
    ( node7(s14,s15)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_519,plain,
    ( node18(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_520,plain,
    ( node14(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_521,plain,
    ( node7(s15,s16)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_523,plain,
    ( node14(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_524,plain,
    ( node7(s16,s17)
    | ~ trans(s16,s17) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_525,plain,
    ( node18(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_526,plain,
    ( node14(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_527,plain,
    ( node7(s17,s18)
    | ~ trans(s17,s18) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_529,plain,
    ( node14(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_530,plain,
    ( node7(s18,s19)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_532,plain,
    ( node14(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_533,plain,
    ( node7(s19,s20)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_535,plain,
    ( node14(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_536,plain,
    ( node7(s20,s21)
    | ~ trans(s20,s21) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_537,plain,
    ( node18(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_538,plain,
    ( node14(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_539,plain,
    ( node7(s21,s22)
    | ~ trans(s21,s22) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_541,plain,
    ( node14(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_542,plain,
    ( node7(s22,s23)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_544,plain,
    ( node14(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_545,plain,
    ( node7(s23,s24)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_547,plain,
    ( node14(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_548,plain,
    ( node7(s24,s25)
    | ~ trans(s24,s25) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_549,plain,
    ( node18(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_550,plain,
    ( node14(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_551,plain,
    ( node7(s25,s26)
    | ~ trans(s25,s26) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_553,plain,
    ( node14(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_554,plain,
    ( node7(s26,s27)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_555,plain,
    ( node18(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_556,plain,
    ( node14(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_557,plain,
    ( node7(s27,s28)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_559,plain,
    ( node14(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_560,plain,
    ( node7(s28,s29)
    | ~ trans(s28,s29) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_561,plain,
    ( node18(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_562,plain,
    ( node14(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_563,plain,
    ( node7(s29,s30)
    | ~ trans(s29,s30) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_565,plain,
    ( node14(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_566,plain,
    ( node7(s30,s31)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_568,plain,
    ( node14(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_569,plain,
    ( node7(s31,s32)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_571,plain,
    ( node14(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_572,plain,
    ( node7(s32,s33)
    | ~ trans(s32,s33) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_573,plain,
    ( node18(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_574,plain,
    ( node14(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_575,plain,
    ( node7(s33,s34)
    | ~ trans(s33,s34) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_577,plain,
    ( node14(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_578,plain,
    ( node7(s34,s35)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_579,plain,
    ( node18(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_580,plain,
    ( node14(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_581,plain,
    ( node7(s35,s36)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_583,plain,
    ( node14(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_584,plain,
    ( node7(s36,s37)
    | ~ trans(s36,s37) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_585,plain,
    ( node18(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_586,plain,
    ( node14(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_587,plain,
    ( node7(s37,s38)
    | ~ trans(s37,s38) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_588,plain,
    ( node18(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_589,plain,
    ( node14(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_590,plain,
    ( node7(s38,s39)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_591,plain,
    ( node18(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_592,plain,
    ( node14(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_593,plain,
    ( node7(s39,s40)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_595,plain,
    ( node14(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_596,plain,
    ( node7(s40,s41)
    | ~ trans(s40,s41) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_597,plain,
    ( node18(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_598,plain,
    ( node14(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_599,plain,
    ( node7(s41,s42)
    | ~ trans(s41,s42) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_600,plain,
    ( node18(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_601,plain,
    ( node14(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_602,plain,
    ( node7(s42,s43)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_603,plain,
    ( node18(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_604,plain,
    ( node14(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_605,plain,
    ( node7(s43,s44)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_607,plain,
    ( node14(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_608,plain,
    ( node7(s44,s45)
    | ~ trans(s44,s45) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_609,plain,
    ( node18(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_610,plain,
    ( node14(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_611,plain,
    ( node7(s45,s46)
    | ~ trans(s45,s46) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_612,plain,
    ( node18(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_613,plain,
    ( node14(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_614,plain,
    ( node7(s46,s47)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_615,plain,
    ( node18(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_616,plain,
    ( node14(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_617,plain,
    ( node7(s47,s48)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_619,plain,
    ( node14(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_620,plain,
    ( node7(s48,s49)
    | ~ trans(s48,s49) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_621,plain,
    ( node18(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_622,plain,
    ( node14(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_623,plain,
    ( node7(s49,s50)
    | ~ trans(s49,s50) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_624,plain,
    ( node18(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_625,plain,
    ( node14(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_626,plain,
    ( node7(s50,s51)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_628,plain,
    ( node14(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_629,plain,
    ( node7(s51,s52)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_631,plain,
    ( node14(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_632,plain,
    ( node7(s52,s53)
    | ~ trans(s52,s53) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_633,plain,
    ( node18(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_634,plain,
    ( node14(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_635,plain,
    ( node7(s53,s54)
    | ~ trans(s53,s54) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_636,plain,
    ( node18(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_637,plain,
    ( node14(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_638,plain,
    ( node7(s54,s55)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_639,plain,
    ( node18(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_640,plain,
    ( node14(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_641,plain,
    ( node7(s55,s56)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_643,plain,
    ( node14(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_644,plain,
    ( node7(s56,s57)
    | ~ trans(s56,s57) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_645,plain,
    ( node18(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_646,plain,
    ( node14(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_647,plain,
    ( node7(s57,s58)
    | ~ trans(s57,s58) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_648,plain,
    ( node18(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_649,plain,
    ( node14(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_650,plain,
    ( node7(s58,s59)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_652,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node16(s0) ),
    inference(instantiation,[status(thm)],[c_309]) ).

tcf(c_654,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node8(s0) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_659,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s0,c_t1)
      | ~ node7(X0,s0)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_277]) ).

tcf(c_660,plain,
    ( m_main_v_state1(s0,c_t1)
    | ~ node7(s59,s0)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_659]) ).

tcf(c_668,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s0)
      | ~ succ(s0,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_672,plain,
    ( node16(s0)
    | node15(s0)
    | node17(s0,s1)
    | ~ node18(s0,s1) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_680,plain,
    ( node16(s1)
    | node15(s1)
    | node17(s1,s2)
    | ~ node18(s1,s2) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_682,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_304]) ).

tcf(c_686,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_281]) ).

tcf(c_688,plain,
    ( node16(s2)
    | node15(s2)
    | node17(s2,s3)
    | ~ node18(s2,s3) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_690,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_304]) ).

tcf(c_700,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_301]) ).

tcf(c_709,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_283]) ).

tcf(c_713,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_313]) ).

tcf(c_719,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_280]) ).

tcf(c_722,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_304]) ).

tcf(c_732,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_301]) ).

tcf(c_741,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_283]) ).

tcf(c_745,plain,
    ( node15(s9)
    | m_main_v_turn(s10,c_1)
    | ~ node18(s9,s10)
    | ~ m_main_v_state2(s9,c_n2)
    | ~ m_main_v_state1(s9,c_t1) ),
    inference(instantiation,[status(thm)],[c_313]) ).

tcf(c_751,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_280]) ).

tcf(c_754,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_304]) ).

tcf(c_764,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_301]) ).

tcf(c_773,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_283]) ).

tcf(c_777,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_313]) ).

tcf(c_783,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_280]) ).

tcf(c_786,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_304]) ).

tcf(c_796,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_301]) ).

tcf(c_805,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_283]) ).

tcf(c_809,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_313]) ).

tcf(c_815,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_280]) ).

tcf(c_818,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_304]) ).

tcf(c_828,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_301]) ).

tcf(c_837,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_283]) ).

tcf(c_841,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_313]) ).

tcf(c_847,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_280]) ).

tcf(c_850,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_304]) ).

tcf(c_860,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_301]) ).

tcf(c_869,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_283]) ).

tcf(c_873,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_313]) ).

tcf(c_879,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_280]) ).

tcf(c_882,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_304]) ).

tcf(c_892,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_301]) ).

tcf(c_901,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_283]) ).

tcf(c_905,plain,
    ( node15(s29)
    | m_main_v_turn(s30,c_1)
    | ~ node18(s29,s30)
    | ~ m_main_v_state2(s29,c_n2)
    | ~ m_main_v_state1(s29,c_t1) ),
    inference(instantiation,[status(thm)],[c_313]) ).

tcf(c_911,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_280]) ).

tcf(c_914,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_304]) ).

tcf(c_924,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_301]) ).

tcf(c_933,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_283]) ).

tcf(c_937,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_313]) ).

tcf(c_943,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_280]) ).

tcf(c_946,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_304]) ).

tcf(c_956,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_301]) ).

tcf(c_965,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_283]) ).

tcf(c_969,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_313]) ).

tcf(c_975,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_280]) ).

tcf(c_976,plain,
    ( node16(s38)
    | node15(s38)
    | node17(s38,s39)
    | ~ node18(s38,s39) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_978,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_304]) ).

tcf(c_988,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_301]) ).

tcf(c_997,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_283]) ).

tcf(c_1001,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_313]) ).

tcf(c_1007,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_280]) ).

tcf(c_1008,plain,
    ( node16(s42)
    | node15(s42)
    | node17(s42,s43)
    | ~ node18(s42,s43) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_1010,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_304]) ).

tcf(c_1020,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_301]) ).

tcf(c_1029,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_283]) ).

tcf(c_1033,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_313]) ).

tcf(c_1039,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_280]) ).

tcf(c_1040,plain,
    ( node16(s46)
    | node15(s46)
    | node17(s46,s47)
    | ~ node18(s46,s47) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_1042,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_304]) ).

tcf(c_1052,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_301]) ).

tcf(c_1061,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_283]) ).

tcf(c_1065,plain,
    ( node15(s49)
    | m_main_v_turn(s50,c_1)
    | ~ node18(s49,s50)
    | ~ m_main_v_state2(s49,c_n2)
    | ~ m_main_v_state1(s49,c_t1) ),
    inference(instantiation,[status(thm)],[c_313]) ).

tcf(c_1071,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_280]) ).

tcf(c_1072,plain,
    ( node16(s50)
    | node15(s50)
    | node17(s50,s51)
    | ~ node18(s50,s51) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_1074,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_304]) ).

tcf(c_1084,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_301]) ).

tcf(c_1093,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_283]) ).

tcf(c_1097,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_313]) ).

tcf(c_1103,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_280]) ).

tcf(c_1104,plain,
    ( node16(s54)
    | node15(s54)
    | node17(s54,s55)
    | ~ node18(s54,s55) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_1106,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_304]) ).

tcf(c_1116,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_301]) ).

tcf(c_1125,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_283]) ).

tcf(c_1129,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_313]) ).

tcf(c_1135,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_280]) ).

tcf(c_1136,plain,
    ( node16(s58)
    | node15(s58)
    | node17(s58,s59)
    | ~ node18(s58,s59) ),
    inference(instantiation,[status(thm)],[c_314]) ).

tcf(c_1138,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_304]) ).

tcf(c_1144,plain,
    ( until27(s1)
    | ~ xuntil28(s0)
    | ~ succ(s0,s1) ),
    inference(instantiation,[status(thm)],[c_668]) ).

tcf(c_1145,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s1,X0)
      | ~ node17(s0,s1)
      | ~ m_main_v_turn(s0,X0) ),
    inference(instantiation,[status(thm)],[c_310]) ).

tcf(c_1171,plain,
    ( ~ m_main_v_state2(s1,c_c2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1174,plain,
    ( m_main_v_turn(s1,c_2)
    | ~ node12(s1) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1179,plain,
    ( ~ m_main_v_state2(s2,c_c2)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1182,plain,
    ( m_main_v_turn(s2,c_2)
    | ~ node12(s2) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1192,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s3,c_2)
      | ~ node18(X0,s3)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_1193,plain,
    ( m_main_v_turn(s3,c_2)
    | ~ node18(s59,s3)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_1192]) ).

tcf(c_1194,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node15(s1) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1195,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node15(s2) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1196,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_303]) ).

tcf(c_1197,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1198,plain,
    ( ~ m_main_v_state2(s4,c_c2)
    | ~ m_main_v_state2(s4,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1206,plain,
    ( ~ m_main_v_state2(s5,c_c2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1213,plain,
    ( ~ m_main_v_state2(s6,c_c2)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1216,plain,
    ( m_main_v_turn(s6,c_2)
    | ~ node12(s6) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1221,plain,
    ( ~ m_main_v_state2(s7,c_c2)
    | ~ m_main_v_state2(s7,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1230,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_303]) ).

tcf(c_1231,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1232,plain,
    ( ~ m_main_v_state2(s8,c_c2)
    | ~ m_main_v_state2(s8,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1240,plain,
    ( ~ m_main_v_state2(s9,c_c2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1247,plain,
    ( ~ m_main_v_state2(s10,c_c2)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1250,plain,
    ( m_main_v_turn(s10,c_2)
    | ~ node12(s10) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1262,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_303]) ).

tcf(c_1263,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1264,plain,
    ( ~ m_main_v_state2(s12,c_c2)
    | ~ m_main_v_state2(s12,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1274,plain,
    ( ~ m_main_v_state2(s13,c_c2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1281,plain,
    ( ~ m_main_v_state2(s14,c_c2)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1284,plain,
    ( m_main_v_turn(s14,c_2)
    | ~ node12(s14) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1289,plain,
    ( ~ m_main_v_state2(s15,c_c2)
    | ~ m_main_v_state2(s15,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1296,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_303]) ).

tcf(c_1297,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1298,plain,
    ( ~ m_main_v_state2(s16,c_c2)
    | ~ m_main_v_state2(s16,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1308,plain,
    ( ~ m_main_v_state2(s17,c_c2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1315,plain,
    ( ~ m_main_v_state2(s18,c_c2)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1318,plain,
    ( m_main_v_turn(s18,c_2)
    | ~ node12(s18) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1323,plain,
    ( ~ m_main_v_state2(s19,c_c2)
    | ~ m_main_v_state2(s19,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1330,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_303]) ).

tcf(c_1331,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1332,plain,
    ( ~ m_main_v_state2(s20,c_c2)
    | ~ m_main_v_state2(s20,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1345,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node11(s22) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1348,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node1(s22) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1355,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node11(s24) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1356,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node8(s24) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1357,plain,
    ( m_main_v_state2(s24,c_n2)
    | ~ node4(s24) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1360,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node1(s24) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1361,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node15(s25) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1365,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node1(s25) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1367,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node11(s26) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1370,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node1(s26) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1378,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node8(s28) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1379,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node4(s28) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1381,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node15(s13) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1389,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node11(s30) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1390,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node8(s30) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1391,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node4(s30) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1392,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node1(s30) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1399,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node11(s32) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1400,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node8(s32) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1401,plain,
    ( m_main_v_state2(s32,c_n2)
    | ~ node4(s32) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1402,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node1(s32) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1403,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node15(s33) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1409,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node1(s33) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1411,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node11(s34) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1412,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node8(s34) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1413,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node4(s34) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1414,plain,
    ( m_main_v_state1(s34,c_n1)
    | ~ node1(s34) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1417,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node8(s35) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1421,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node11(s36) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1422,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node8(s36) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1423,plain,
    ( m_main_v_state2(s36,c_n2)
    | ~ node4(s36) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1424,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node1(s36) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1425,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node15(s37) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1426,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node15(s17) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1431,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node1(s37) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1432,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node15(s38) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1433,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node11(s38) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1434,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node8(s38) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1435,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node4(s38) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1436,plain,
    ( m_main_v_state1(s38,c_n1)
    | ~ node1(s38) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1439,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node8(s39) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1443,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node11(s40) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1444,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node8(s40) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1445,plain,
    ( m_main_v_state2(s40,c_n2)
    | ~ node4(s40) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1446,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node1(s40) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1447,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node15(s41) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1453,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node1(s41) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1454,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node15(s42) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1455,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node11(s42) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1456,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node8(s42) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1457,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node4(s42) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1458,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node1(s42) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1461,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node8(s43) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1465,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node11(s44) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_1466,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node8(s44) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1467,plain,
    ( m_main_v_state2(s44,c_n2)
    | ~ node4(s44) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_1468,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node1(s44) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_1472,plain,
    ( ~ m_main_v_state2(s45,c_c2)
    | ~ m_main_v_state2(s45,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1487,plain,
    ( ~ m_main_v_state2(s46,c_c2)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1500,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s47,c_2)
      | ~ node18(X0,s47)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_1501,plain,
    ( m_main_v_turn(s47,c_2)
    | ~ node18(s59,s47)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_1500]) ).

tcf(c_1502,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_303]) ).

tcf(c_1503,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1504,plain,
    ( ~ m_main_v_state2(s48,c_c2)
    | ~ m_main_v_state2(s48,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1512,plain,
    ( ~ m_main_v_state2(s49,c_c2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1527,plain,
    ( ~ m_main_v_state2(s50,c_c2)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1530,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node12(s50) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1540,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s51,c_2)
      | ~ node18(X0,s51)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_1541,plain,
    ( m_main_v_turn(s51,c_2)
    | ~ node18(s59,s51)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_1540]) ).

tcf(c_1542,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_303]) ).

tcf(c_1543,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1544,plain,
    ( ~ m_main_v_state2(s52,c_c2)
    | ~ m_main_v_state2(s52,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1552,plain,
    ( ~ m_main_v_state2(s53,c_c2)
    | ~ m_main_v_state2(s53,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1567,plain,
    ( ~ m_main_v_state2(s54,c_c2)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1570,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node12(s54) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1580,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s55,c_2)
      | ~ node18(X0,s55)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_1581,plain,
    ( m_main_v_turn(s55,c_2)
    | ~ node18(s59,s55)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_1580]) ).

tcf(c_1582,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_303]) ).

tcf(c_1583,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1584,plain,
    ( ~ m_main_v_state2(s56,c_c2)
    | ~ m_main_v_state2(s56,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1592,plain,
    ( ~ m_main_v_state2(s57,c_c2)
    | ~ m_main_v_state2(s57,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_1607,plain,
    ( ~ m_main_v_state2(s58,c_c2)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_1610,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node12(s58) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_1615,plain,
    ( ~ m_main_v_state1(s1,c_c1)
    | ~ m_main_v_state1(s1,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1618,plain,
    ! [X0: $i] :
      ( node5(s2)
      | node4(s2)
      | node3(s2)
      | node2(s2)
      | node1(s2)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s2,c_c1)
      | ~ node7(s2,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1619,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1620,plain,
    ( ~ m_main_v_state1(s2,c_c1)
    | ~ m_main_v_state1(s2,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1624,plain,
    ( ~ m_main_v_state1(s3,c_c1)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1627,plain,
    ( ~ m_main_v_state1(s4,c_c1)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1634,plain,
    ! [X0: $i] :
      ( node5(s6)
      | node4(s6)
      | node3(s6)
      | node2(s6)
      | node1(s6)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s6,c_c1)
      | ~ node7(s6,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1635,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1636,plain,
    ( ~ m_main_v_state1(s6,c_c1)
    | ~ m_main_v_state1(s6,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1643,plain,
    ( ~ m_main_v_state1(s8,c_c1)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1650,plain,
    ! [X0: $i] :
      ( node5(s10)
      | node4(s10)
      | node3(s10)
      | node2(s10)
      | node1(s10)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s10,c_c1)
      | ~ node7(s10,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1651,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1652,plain,
    ( ~ m_main_v_state1(s10,c_c1)
    | ~ m_main_v_state1(s10,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1656,plain,
    ( ~ m_main_v_state1(s11,c_c1)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1659,plain,
    ( ~ m_main_v_state1(s12,c_c1)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1666,plain,
    ! [X0: $i] :
      ( node5(s14)
      | node4(s14)
      | node3(s14)
      | node2(s14)
      | node1(s14)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s14,c_c1)
      | ~ node7(s14,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1667,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1668,plain,
    ( ~ m_main_v_state1(s14,c_c1)
    | ~ m_main_v_state1(s14,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1672,plain,
    ( ~ m_main_v_state1(s15,c_c1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1675,plain,
    ( ~ m_main_v_state1(s16,c_c1)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1682,plain,
    ! [X0: $i] :
      ( node5(s18)
      | node4(s18)
      | node3(s18)
      | node2(s18)
      | node1(s18)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s18,c_c1)
      | ~ node7(s18,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1683,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1684,plain,
    ( ~ m_main_v_state1(s18,c_c1)
    | ~ m_main_v_state1(s18,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1691,plain,
    ( ~ m_main_v_state1(s20,c_c1)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1706,plain,
    ! [X0: $i] :
      ( node5(s22)
      | node4(s22)
      | node3(s22)
      | node2(s22)
      | node1(s22)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s22,c_c1)
      | ~ node7(s22,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1707,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1708,plain,
    ( ~ m_main_v_state1(s22,c_c1)
    | ~ m_main_v_state1(s22,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1715,plain,
    ( ~ m_main_v_state1(s24,c_c1)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1722,plain,
    ! [X0: $i] :
      ( node5(s26)
      | node4(s26)
      | node3(s26)
      | node2(s26)
      | node1(s26)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s26,c_c1)
      | ~ node7(s26,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1723,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1724,plain,
    ( ~ m_main_v_state1(s26,c_c1)
    | ~ m_main_v_state1(s26,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1728,plain,
    ( ~ m_main_v_state1(s27,c_c1)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1731,plain,
    ( ~ m_main_v_state1(s28,c_c1)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1738,plain,
    ! [X0: $i] :
      ( node5(s30)
      | node4(s30)
      | node3(s30)
      | node2(s30)
      | node1(s30)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s30,c_c1)
      | ~ node7(s30,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1739,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1740,plain,
    ( ~ m_main_v_state1(s30,c_c1)
    | ~ m_main_v_state1(s30,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1748,plain,
    ( ~ m_main_v_state1(s31,c_c1)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1755,plain,
    ( ~ m_main_v_state1(s32,c_c1)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1770,plain,
    ! [X0: $i] :
      ( node5(s34)
      | node4(s34)
      | node3(s34)
      | node2(s34)
      | node1(s34)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s34,c_c1)
      | ~ node7(s34,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1771,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1772,plain,
    ( ~ m_main_v_state1(s34,c_c1)
    | ~ m_main_v_state1(s34,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1787,plain,
    ( ~ m_main_v_state1(s36,c_c1)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1800,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s38,X0)
      | ~ node17(s38,s39)
      | ~ m_main_v_turn(s39,X0) ),
    inference(instantiation,[status(thm)],[c_311]) ).

tcf(c_1810,plain,
    ! [X0: $i] :
      ( node5(s38)
      | node4(s38)
      | node3(s38)
      | node2(s38)
      | node1(s38)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s38,c_c1)
      | ~ node7(s38,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1811,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1812,plain,
    ( ~ m_main_v_state1(s38,c_c1)
    | ~ m_main_v_state1(s38,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1819,plain,
    ( ~ m_main_v_state1(s40,c_c1)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1832,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s42,X0)
      | ~ node17(s42,s43)
      | ~ m_main_v_turn(s43,X0) ),
    inference(instantiation,[status(thm)],[c_311]) ).

tcf(c_1834,plain,
    ! [X0: $i] :
      ( node5(s42)
      | node4(s42)
      | node3(s42)
      | node2(s42)
      | node1(s42)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s42,c_c1)
      | ~ node7(s42,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1835,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1836,plain,
    ( ~ m_main_v_state1(s42,c_c1)
    | ~ m_main_v_state1(s42,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1851,plain,
    ( ~ m_main_v_state1(s44,c_c1)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1862,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node15(s46) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1864,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1865,plain,
    ( ~ m_main_v_state1(s46,c_c1)
    | ~ m_main_v_state1(s46,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1870,plain,
    ( ~ m_main_v_state1(s47,c_c1)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1874,plain,
    ( ~ m_main_v_state1(s48,c_c1)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1877,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node15(s49) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1882,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node15(s50) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1884,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1885,plain,
    ( ~ m_main_v_state1(s50,c_c1)
    | ~ m_main_v_state1(s50,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1890,plain,
    ( ~ m_main_v_state1(s51,c_c1)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1893,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node15(s53) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1895,plain,
    ( ~ m_main_v_state1(s52,c_c1)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1902,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node15(s54) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1904,plain,
    ( ~ m_main_v_state1(s54,c_c1)
    | ~ m_main_v_state1(s54,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1905,plain,
    ( ~ m_main_v_state1(s54,c_c1)
    | ~ m_main_v_state1(s54,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1910,plain,
    ( ~ m_main_v_state1(s55,c_c1)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1914,plain,
    ( ~ m_main_v_state1(s56,c_c1)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1917,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node15(s57) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1922,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node15(s58) ),
    inference(instantiation,[status(thm)],[c_306]) ).

tcf(c_1923,plain,
    ! [X0: $i] :
      ( node5(s58)
      | node4(s58)
      | node3(s58)
      | node2(s58)
      | node1(s58)
      | m_main_v_state1(X0,c_n1)
      | ~ m_main_v_state1(s58,c_c1)
      | ~ node7(s58,X0) ),
    inference(instantiation,[status(thm)],[c_282]) ).

tcf(c_1924,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_t1) ),
    inference(instantiation,[status(thm)],[c_254]) ).

tcf(c_1925,plain,
    ( ~ m_main_v_state1(s58,c_c1)
    | ~ m_main_v_state1(s58,c_n1) ),
    inference(instantiation,[status(thm)],[c_253]) ).

tcf(c_1926,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_1923]) ).

tcf(c_1927,plain,
    ( xuntil28(s1)
    | node26(s1)
    | ~ until27(s1) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_1936,plain,
    ! [X0: $i] :
      ( node8(X0)
      | m_main_v_state2(s1,c_t2)
      | ~ node14(X0,s1)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_299]) ).

tcf(c_1969,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node12(s4) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_1973,plain,
    ( m_main_v_state2(s4,c_t2)
    | ~ node26(s4) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_1981,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node15(s5) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_1985,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node1(s5) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_1986,plain,
    ( m_main_v_state2(s5,c_t2)
    | ~ node26(s5) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2002,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_298]) ).

tcf(c_2006,plain,
    ( ~ m_main_v_turn(s1,c_2)
    | ~ m_main_v_turn(s1,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_2025,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node12(s8) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2027,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node5(s8) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_2029,plain,
    ( m_main_v_state2(s8,c_t2)
    | ~ node26(s8) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2037,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node15(s9) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_2041,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node1(s9) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_2042,plain,
    ( m_main_v_state2(s9,c_t2)
    | ~ node26(s9) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2058,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_298]) ).

tcf(c_2077,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node12(s12) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2079,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node5(s12) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_2081,plain,
    ( m_main_v_state2(s12,c_t2)
    | ~ node26(s12) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2094,plain,
    ( m_main_v_state2(s13,c_t2)
    | ~ node26(s13) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2110,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_298]) ).

tcf(c_2129,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node12(s16) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2133,plain,
    ( m_main_v_state2(s16,c_t2)
    | ~ node26(s16) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2146,plain,
    ( m_main_v_state2(s17,c_t2)
    | ~ node26(s17) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2162,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_298]) ).

tcf(c_2166,plain,
    ( ~ m_main_v_turn(s2,c_2)
    | ~ m_main_v_turn(s2,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_2185,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node12(s20) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2186,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node11(s20) ),
    inference(instantiation,[status(thm)],[c_291]) ).

tcf(c_2187,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node5(s20) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_2188,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node1(s20) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_2189,plain,
    ( m_main_v_state2(s20,c_t2)
    | ~ node26(s20) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2196,plain,
    ( ~ m_main_v_turn(s3,c_2)
    | ~ m_main_v_turn(s3,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_2200,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s2,X0)
      | ~ node17(s1,s2)
      | ~ m_main_v_turn(s1,X0) ),
    inference(instantiation,[status(thm)],[c_310]) ).

tcf(c_2205,plain,
    ( m_main_v_state2(s45,c_t2)
    | ~ node15(s45) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_2209,plain,
    ( m_main_v_state2(s45,c_t2)
    | ~ node1(s45) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_2210,plain,
    ( m_main_v_state2(s45,c_t2)
    | ~ node26(s45) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2217,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s3,X0)
      | ~ node17(s2,s3)
      | ~ m_main_v_turn(s2,X0) ),
    inference(instantiation,[status(thm)],[c_310]) ).

tcf(c_2230,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_298]) ).

tcf(c_2249,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node12(s48) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2253,plain,
    ( m_main_v_state2(s48,c_t2)
    | ~ node26(s48) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2266,plain,
    ( m_main_v_state2(s49,c_t2)
    | ~ node26(s49) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2282,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s50,c_t2)
      | ~ node14(X0,s50)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_298]) ).

tcf(c_2301,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node12(s52) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2303,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node5(s52) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_2305,plain,
    ( m_main_v_state2(s52,c_t2)
    | ~ node26(s52) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2318,plain,
    ( m_main_v_state2(s53,c_t2)
    | ~ node26(s53) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2334,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s54,c_t2)
      | ~ node14(X0,s54)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_298]) ).

tcf(c_2353,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node12(s56) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_2357,plain,
    ( m_main_v_state2(s56,c_t2)
    | ~ node26(s56) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2370,plain,
    ( m_main_v_state2(s57,c_t2)
    | ~ node26(s57) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_2377,plain,
    ( ~ m_main_v_turn(s4,c_2)
    | ~ m_main_v_turn(s4,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_2390,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s58,c_t2)
      | ~ node14(X0,s58)
      | ~ m_main_v_state2(X0,c_n2)
      | ~ m_main_v_state1(X0,c_t1) ),
    inference(instantiation,[status(thm)],[c_298]) ).

tcf(c_2397,plain,
    ( m_main_v_turn(s1,c_1)
    | ~ node17(s0,s1)
    | ~ m_main_v_turn(s0,c_1) ),
    inference(instantiation,[status(thm)],[c_1145]) ).

tcf(c_2409,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_1196]) ).

tcf(c_2413,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_1230]) ).

tcf(c_2417,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_1262]) ).

tcf(c_2421,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_1296]) ).

tcf(c_2425,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_1330]) ).

tcf(c_2433,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_1502]) ).

tcf(c_2437,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_1542]) ).

tcf(c_2441,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_1582]) ).

tcf(c_2496,plain,
    ( ~ m_main_v_state2(s21,c_c2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2500,plain,
    ( ~ m_main_v_state2(s22,c_c2)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2509,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_303]) ).

tcf(c_2510,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2511,plain,
    ( ~ m_main_v_state2(s24,c_c2)
    | ~ m_main_v_state2(s24,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2516,plain,
    ( ~ m_main_v_state2(s25,c_c2)
    | ~ m_main_v_state2(s25,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2520,plain,
    ( ~ m_main_v_state2(s26,c_c2)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2529,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_303]) ).

tcf(c_2530,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2531,plain,
    ( ~ m_main_v_state2(s28,c_c2)
    | ~ m_main_v_state2(s28,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2536,plain,
    ( ~ m_main_v_state2(s29,c_c2)
    | ~ m_main_v_state2(s29,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2540,plain,
    ( ~ m_main_v_state2(s30,c_c2)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2549,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_303]) ).

tcf(c_2550,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2551,plain,
    ( ~ m_main_v_state2(s32,c_c2)
    | ~ m_main_v_state2(s32,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2606,plain,
    ( ~ m_main_v_state2(s33,c_c2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2609,plain,
    ( ~ m_main_v_state2(s34,c_c2)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2613,plain,
    ( ~ m_main_v_state2(s35,c_c2)
    | ~ m_main_v_state2(s35,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2616,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_303]) ).

tcf(c_2617,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2618,plain,
    ( ~ m_main_v_state2(s36,c_c2)
    | ~ m_main_v_state2(s36,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2622,plain,
    ( ~ m_main_v_state2(s37,c_c2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2625,plain,
    ( ~ m_main_v_state2(s38,c_c2)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2632,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_303]) ).

tcf(c_2633,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2634,plain,
    ( ~ m_main_v_state2(s40,c_c2)
    | ~ m_main_v_state2(s40,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2638,plain,
    ( ~ m_main_v_state2(s41,c_c2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2641,plain,
    ( ~ m_main_v_state2(s42,c_c2)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2648,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_303]) ).

tcf(c_2649,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_t2) ),
    inference(instantiation,[status(thm)],[c_258]) ).

tcf(c_2650,plain,
    ( ~ m_main_v_state2(s44,c_c2)
    | ~ m_main_v_state2(s44,c_n2) ),
    inference(instantiation,[status(thm)],[c_257]) ).

tcf(c_2652,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_278]) ).

tcf(c_3068,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s58,X0)
      | ~ node17(s58,s59)
      | ~ m_main_v_turn(s59,X0) ),
    inference(instantiation,[status(thm)],[c_311]) ).

tcf(c_3070,plain,
    ( ~ m_main_v_turn(s6,c_2)
    | ~ m_main_v_turn(s6,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3074,plain,
    ( ~ m_main_v_turn(s10,c_2)
    | ~ m_main_v_turn(s10,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3078,plain,
    ( ~ m_main_v_turn(s14,c_2)
    | ~ m_main_v_turn(s14,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3080,plain,
    ( ~ m_main_v_turn(s16,c_2)
    | ~ m_main_v_turn(s16,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3082,plain,
    ( ~ m_main_v_turn(s18,c_2)
    | ~ m_main_v_turn(s18,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3086,plain,
    ( ~ m_main_v_turn(s46,c_2)
    | ~ m_main_v_turn(s46,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3088,plain,
    ( ~ m_main_v_turn(s48,c_2)
    | ~ m_main_v_turn(s48,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3090,plain,
    ( ~ m_main_v_turn(s50,c_2)
    | ~ m_main_v_turn(s50,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3094,plain,
    ( ~ m_main_v_turn(s54,c_2)
    | ~ m_main_v_turn(s54,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3096,plain,
    ( ~ m_main_v_turn(s56,c_2)
    | ~ m_main_v_turn(s56,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3098,plain,
    ( ~ m_main_v_turn(s58,c_2)
    | ~ m_main_v_turn(s58,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_3100,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node1(s1) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_3163,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node12(s22) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_3170,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s22,c_2)
      | ~ node18(X0,s22)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3171,plain,
    ( m_main_v_turn(s22,c_2)
    | ~ node18(s59,s22)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_3170]) ).

tcf(c_3203,plain,
    ( m_main_v_turn(s26,c_2)
    | ~ node12(s26) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_3230,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s28,c_2)
      | ~ node18(X0,s28)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3236,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_1618]) ).

tcf(c_3240,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_1634]) ).

tcf(c_3244,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_1650]) ).

tcf(c_3248,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_1666]) ).

tcf(c_3259,plain,
    ( m_main_v_turn(s30,c_2)
    | ~ node12(s30) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_3262,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_1682]) ).

tcf(c_3269,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s30,c_2)
      | ~ node18(X0,s30)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3270,plain,
    ( m_main_v_turn(s30,c_2)
    | ~ node18(s59,s30)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_3269]) ).

tcf(c_3276,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_1706]) ).

tcf(c_3280,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_1722]) ).

tcf(c_3284,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_1738]) ).

tcf(c_3314,plain,
    ( m_main_v_turn(s34,c_2)
    | ~ node12(s34) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_3334,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_1770]) ).

tcf(c_3344,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s36,c_2)
      | ~ node18(X0,s36)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3358,plain,
    ( m_main_v_turn(s38,c_2)
    | ~ node12(s38) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_3368,plain,
    ( m_main_v_turn(s38,c_2)
    | ~ node17(s38,s39)
    | ~ m_main_v_turn(s39,c_2) ),
    inference(instantiation,[status(thm)],[c_1800]) ).

tcf(c_3376,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s39,c_2)
      | ~ node18(X0,s39)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3377,plain,
    ( m_main_v_turn(s39,c_2)
    | ~ node18(s59,s39)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_3376]) ).

tcf(c_3386,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_312]) ).

tcf(c_3392,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_1810]) ).

tcf(c_3402,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node12(s42) ),
    inference(instantiation,[status(thm)],[c_295]) ).

tcf(c_3410,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s42,c_2)
      | ~ node18(X0,s42)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3411,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node18(s59,s42)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_3410]) ).

tcf(c_3412,plain,
    ( m_main_v_turn(s42,c_2)
    | ~ node17(s42,s43)
    | ~ m_main_v_turn(s43,c_2) ),
    inference(instantiation,[status(thm)],[c_1832]) ).

tcf(c_3416,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_1834]) ).

tcf(c_3421,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s43,c_2)
      | ~ node18(X0,s43)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_3422,plain,
    ( m_main_v_turn(s43,c_2)
    | ~ node18(s59,s43)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_3421]) ).

tcf(c_3431,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_312]) ).

tcf(c_3435,plain,
    ( always25(s1)
    | ~ node26(s1) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_3471,plain,
    ( ~ m_main_v_state2(s1,c_t2)
    | ~ m_main_v_state2(s1,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_3473,plain,
    ( ~ m_main_v_state1(s1,c_t1)
    | ~ m_main_v_state1(s1,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_3478,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node8(s1) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3668,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node8(s2) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3670,plain,
    ( m_main_v_state1(s3,c_t1)
    | ~ node8(s3) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3673,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node8(s4) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3677,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node8(s6) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3678,plain,
    ( m_main_v_state1(s7,c_t1)
    | ~ node8(s7) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3683,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node8(s8) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3687,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node8(s10) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3688,plain,
    ( m_main_v_state1(s11,c_t1)
    | ~ node8(s11) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3691,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node8(s12) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3695,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node8(s14) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3696,plain,
    ( m_main_v_state1(s15,c_t1)
    | ~ node8(s15) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3699,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node8(s16) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3703,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node8(s18) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3705,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node8(s19) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3707,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node8(s20) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3711,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node8(s46) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3712,plain,
    ( m_main_v_state1(s47,c_t1)
    | ~ node8(s47) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3715,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node8(s48) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3718,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node8(s50) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3720,plain,
    ( m_main_v_state1(s51,c_t1)
    | ~ node8(s51) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3723,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node8(s52) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3727,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node8(s54) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_3728,plain,
    ( m_main_v_state1(s55,c_t1)
    | ~ node8(s55) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_3731,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node8(s56) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_4004,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_2509]) ).

tcf(c_4009,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node4(s1) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_4010,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_2529]) ).

tcf(c_4014,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_2549]) ).

tcf(c_4018,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_2616]) ).

tcf(c_4022,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_2632]) ).

tcf(c_4026,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_2648]) ).

tcf(c_4032,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_2002]) ).

tcf(c_4041,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_2058]) ).

tcf(c_4045,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_2110]) ).

tcf(c_4049,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_2162]) ).

tcf(c_4053,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_2230]) ).

tcf(c_4057,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_2282]) ).

tcf(c_4061,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_2334]) ).

tcf(c_4067,plain,
    ( ~ m_main_v_state1(s4,c_t1)
    | ~ m_main_v_state1(s4,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_4070,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_2390]) ).

tcf(c_4077,plain,
    ( m_main_v_turn(s28,c_2)
    | ~ node18(s27,s28)
    | ~ m_main_v_state2(s27,c_t2)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_3230]) ).

tcf(c_4085,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_3344]) ).

tcf(c_4089,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_3386]) ).

tcf(c_4095,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_3431]) ).

tcf(c_4096,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_1936]) ).

tcf(c_4120,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node4(s4) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_4187,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node4(s6) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_4194,plain,
    ( ~ m_main_v_state1(s8,c_t1)
    | ~ m_main_v_state1(s8,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_4198,plain,
    ( m_main_v_state2(s8,c_n2)
    | ~ node4(s8) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_4206,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node1(s10) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4242,plain,
    ( ~ m_main_v_state2(s10,c_t2)
    | ~ m_main_v_state2(s10,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_4254,plain,
    ( ~ m_main_v_state1(s12,c_t1)
    | ~ m_main_v_state1(s12,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_4258,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node1(s12) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4310,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node1(s14) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4346,plain,
    ( ~ m_main_v_state2(s14,c_t2)
    | ~ m_main_v_state2(s14,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_4365,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node1(s17) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4401,plain,
    ( ~ m_main_v_state2(s17,c_t2)
    | ~ m_main_v_state2(s17,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_4465,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node1(s21) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_4502,plain,
    ( m_main_v_state1(s27,c_t1)
    | ~ node8(s27) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_4515,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node1(s29) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_4610,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node1(s46) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4646,plain,
    ( ~ m_main_v_state2(s46,c_t2)
    | ~ m_main_v_state2(s46,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_4658,plain,
    ( ~ m_main_v_state1(s48,c_t1)
    | ~ m_main_v_state1(s48,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_4662,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node1(s48) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4714,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node1(s50) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4750,plain,
    ( ~ m_main_v_state2(s50,c_t2)
    | ~ m_main_v_state2(s50,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_4762,plain,
    ( ~ m_main_v_state1(s52,c_t1)
    | ~ m_main_v_state1(s52,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_4766,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node1(s52) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4818,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node1(s54) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_4854,plain,
    ( ~ m_main_v_state2(s54,c_t2)
    | ~ m_main_v_state2(s54,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_4866,plain,
    ( ~ m_main_v_state1(s56,c_t1)
    | ~ m_main_v_state1(s56,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_4870,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node1(s56) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_5028,plain,
    ( m_main_v_turn(s2,c_1)
    | ~ node17(s1,s2)
    | ~ m_main_v_turn(s1,c_1) ),
    inference(instantiation,[status(thm)],[c_2200]) ).

tcf(c_5041,plain,
    ( ~ m_main_v_turn(s22,c_2)
    | ~ m_main_v_turn(s22,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_5066,plain,
    ( m_main_v_turn(s3,c_1)
    | ~ node17(s2,s3)
    | ~ m_main_v_turn(s2,c_1) ),
    inference(instantiation,[status(thm)],[c_2217]) ).

tcf(c_5096,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node4(s2) ),
    inference(instantiation,[status(thm)],[c_270]) ).

tcf(c_5099,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node1(s4) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_5148,plain,
    ( m_main_v_state1(s9,c_n1)
    | ~ node2(s9) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_5152,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node2(s13) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_5156,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node2(s16) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_5158,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node15(s29) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_5169,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node2(s18) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_5254,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node16(s42) ),
    inference(instantiation,[status(thm)],[c_308]) ).

tcf(c_5660,plain,
    ( m_main_v_turn(s58,c_2)
    | ~ node17(s58,s59)
    | ~ m_main_v_turn(s59,c_2) ),
    inference(instantiation,[status(thm)],[c_3068]) ).

tcf(c_6225,plain,
    ( m_main_v_state1(s1,c_c1)
    | ~ node10(s1) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_6227,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node16(s1) ),
    inference(instantiation,[status(thm)],[c_308]) ).

tcf(c_6229,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node9(s1) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6232,plain,
    ( m_main_v_state2(s1,c_n2)
    | ~ node2(s1) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_6244,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node16(s2) ),
    inference(instantiation,[status(thm)],[c_308]) ).

tcf(c_6245,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node10(s2) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6252,plain,
    ( ~ m_main_v_state1(s3,c_t1)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_6281,plain,
    ( m_main_v_state2(s4,c_n2)
    | ~ node10(s4) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6315,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node11(s6) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6316,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node9(s6) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6319,plain,
    ( m_main_v_state1(s6,c_n1)
    | ~ node1(s6) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_6325,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node10(s7) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6326,plain,
    ( m_main_v_state2(s7,c_n2)
    | ~ node9(s7) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6342,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node11(s8) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6343,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node9(s8) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6344,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node3(s8) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6345,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node2(s8) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6346,plain,
    ( m_main_v_state1(s8,c_n1)
    | ~ node1(s8) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_6369,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node11(s10) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6372,plain,
    ( m_main_v_state1(s10,c_n1)
    | ~ node2(s10) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6391,plain,
    ( m_main_v_state1(s12,c_c1)
    | ~ node10(s12) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_6397,plain,
    ( m_main_v_state2(s12,c_n2)
    | ~ node4(s12) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_6433,plain,
    ( m_main_v_state1(s14,c_n1)
    | ~ node11(s14) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6440,plain,
    ( m_main_v_state1(s15,c_c1)
    | ~ node10(s15) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_6444,plain,
    ( m_main_v_state2(s15,c_n2)
    | ~ node9(s15) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6460,plain,
    ( m_main_v_state2(s16,c_n2)
    | ~ node4(s16) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_6471,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node3(s17) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6472,plain,
    ( m_main_v_state1(s17,c_n1)
    | ~ node2(s17) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6480,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s19,c_t2)
      | ~ m_main_v_state1(s19,c_n1)
      | ~ node7(s19,X0) ),
    inference(instantiation,[status(thm)],[c_277]) ).

tcf(c_6494,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node10(s19) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6495,plain,
    ( m_main_v_state2(s19,c_n2)
    | ~ node9(s19) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6513,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node9(s20) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6515,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node4(s20) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_6516,plain,
    ( m_main_v_state2(s20,c_n2)
    | ~ node2(s20) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_6529,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node8(s22) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_6538,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node9(s22) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6539,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node3(s22) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6540,plain,
    ( m_main_v_state1(s22,c_n1)
    | ~ node2(s22) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6546,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node10(s23) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6547,plain,
    ( m_main_v_state2(s23,c_n2)
    | ~ node9(s23) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6559,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node9(s24) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6560,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node3(s24) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6561,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node2(s24) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6581,plain,
    ( m_main_v_state2(s26,c_n2)
    | ~ node10(s26) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6588,plain,
    ( ~ m_main_v_state1(s27,c_t1)
    | ~ m_main_v_state1(s27,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_6605,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node9(s28) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6608,plain,
    ( m_main_v_state2(s28,c_n2)
    | ~ node2(s28) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_6627,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node9(s30) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6628,plain,
    ( m_main_v_state1(s30,c_n1)
    | ~ node3(s30) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6645,plain,
    ( m_main_v_state1(s31,c_t1)
    | ~ node8(s31) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_6653,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node9(s32) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6654,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node3(s32) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6655,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node2(s32) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6681,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node9(s36) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6682,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node3(s36) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6683,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node2(s36) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6695,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node16(s38) ),
    inference(instantiation,[status(thm)],[c_308]) ).

tcf(c_6696,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node10(s38) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_6697,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node9(s38) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6700,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node2(s38) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_6719,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node12(s40) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_6723,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node9(s40) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6724,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node3(s40) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6725,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node2(s40) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6747,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s43,X0)
      | ~ node13(s42,s43)
      | ~ m_main_v_state2(s42,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_6749,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s42,X0)
      | ~ node13(s42,s43)
      | ~ m_main_v_state2(s43,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_6755,plain,
    ( m_main_v_state1(s42,c_n1)
    | ~ node3(s42) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6815,plain,
    ( m_main_v_state1(s46,c_n1)
    | ~ node11(s46) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6830,plain,
    ( m_main_v_state2(s47,c_n2)
    | ~ node9(s47) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6841,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node11(s48) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6842,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node9(s48) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6843,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node3(s48) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6844,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node2(s48) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6863,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node11(s50) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6864,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node9(s50) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6865,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node3(s50) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6866,plain,
    ( m_main_v_state1(s50,c_n1)
    | ~ node2(s50) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6874,plain,
    ( m_main_v_state2(s51,c_n2)
    | ~ node9(s51) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6890,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node11(s52) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6891,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node9(s52) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6892,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node3(s52) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6893,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node2(s52) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6917,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node11(s54) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6918,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node9(s54) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6920,plain,
    ( m_main_v_state1(s54,c_n1)
    | ~ node2(s54) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6928,plain,
    ( m_main_v_state2(s55,c_n2)
    | ~ node9(s55) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_6948,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node11(s56) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6949,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node9(s56) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6950,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node3(s56) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6951,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node2(s56) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6973,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node8(s58) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_6977,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node11(s58) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_6978,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node9(s58) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_6979,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node3(s58) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_6980,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node2(s58) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_6981,plain,
    ( m_main_v_state1(s58,c_n1)
    | ~ node1(s58) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_6990,plain,
    ( m_main_v_turn(s4,c_1)
    | ~ node5(s4) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_6999,plain,
    ( m_main_v_state2(s9,c_c2)
    | ~ node3(s9) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_7004,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s13,X0)
      | ~ node6(s12,s13)
      | ~ m_main_v_state1(s12,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_7006,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s12,X0)
      | ~ node6(s12,s13)
      | ~ m_main_v_state1(s13,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_7038,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node15(s21) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_7059,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node5(s26) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_7085,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s33,X0)
      | ~ node6(s32,s33)
      | ~ m_main_v_state1(s32,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_7087,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s32,X0)
      | ~ node6(s32,s33)
      | ~ m_main_v_state1(s33,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_7101,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s37,X0)
      | ~ node6(s36,s37)
      | ~ m_main_v_state1(s36,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_7103,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s36,X0)
      | ~ node6(s36,s37)
      | ~ m_main_v_state1(s37,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_7117,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s41,X0)
      | ~ node6(s40,s41)
      | ~ m_main_v_state1(s40,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_7119,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s40,X0)
      | ~ node6(s40,s41)
      | ~ m_main_v_state1(s41,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_7135,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s46,X0)
      | ~ node17(s46,s47)
      | ~ m_main_v_turn(s47,X0) ),
    inference(instantiation,[status(thm)],[c_311]) ).

tcf(c_7147,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s50,X0)
      | ~ node17(s50,s51)
      | ~ m_main_v_turn(s51,X0) ),
    inference(instantiation,[status(thm)],[c_311]) ).

tcf(c_7189,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s2,X0)
      | ~ node13(s1,s2)
      | ~ m_main_v_state2(s1,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_7213,plain,
    ( ~ m_main_v_state2(s5,c_t2)
    | ~ m_main_v_state2(s5,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7231,plain,
    ! [X0: $i] :
      ( m_main_v_state1(X0,c_t1)
      | ~ m_main_v_state2(s7,c_t2)
      | ~ m_main_v_state1(s7,c_n1)
      | ~ node7(s7,X0) ),
    inference(instantiation,[status(thm)],[c_277]) ).

tcf(c_7232,plain,
    ( ~ m_main_v_state2(s7,c_t2)
    | ~ m_main_v_state2(s7,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7246,plain,
    ( ~ m_main_v_state2(s9,c_t2)
    | ~ m_main_v_state2(s9,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7259,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_277]) ).

tcf(c_7260,plain,
    ( ~ m_main_v_state2(s11,c_t2)
    | ~ m_main_v_state2(s11,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7286,plain,
    ( ~ m_main_v_state2(s13,c_t2)
    | ~ m_main_v_state2(s13,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7299,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_277]) ).

tcf(c_7300,plain,
    ( ~ m_main_v_state2(s15,c_t2)
    | ~ m_main_v_state2(s15,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7329,plain,
    ( ~ m_main_v_state2(s18,c_t2)
    | ~ m_main_v_state2(s18,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7374,plain,
    ( ~ m_main_v_state2(s21,c_t2)
    | ~ m_main_v_state2(s21,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7382,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_277]) ).

tcf(c_7398,plain,
    ( ~ m_main_v_state2(s26,c_t2)
    | ~ m_main_v_state2(s26,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7407,plain,
    ( ~ m_main_v_state2(s25,c_t2)
    | ~ m_main_v_state2(s25,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7443,plain,
    ( ~ m_main_v_state2(s29,c_t2)
    | ~ m_main_v_state2(s29,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7455,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_277]) ).

tcf(c_7465,plain,
    ( ~ m_main_v_state2(s33,c_t2)
    | ~ m_main_v_state2(s33,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7473,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_277]) ).

tcf(c_7483,plain,
    ( ~ m_main_v_state2(s37,c_t2)
    | ~ m_main_v_state2(s37,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7502,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_277]) ).

tcf(c_7521,plain,
    ( ~ m_main_v_state2(s42,c_t2)
    | ~ m_main_v_state2(s42,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7530,plain,
    ( ~ m_main_v_state2(s41,c_t2)
    | ~ m_main_v_state2(s41,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7538,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_277]) ).

tcf(c_7548,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node9(s44) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_7549,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node3(s44) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_7550,plain,
    ( m_main_v_state1(s44,c_n1)
    | ~ node2(s44) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_7559,plain,
    ( m_main_v_state1(s45,c_n1)
    | ~ node2(s45) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_7566,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_277]) ).

tcf(c_7567,plain,
    ( ~ m_main_v_state2(s47,c_t2)
    | ~ m_main_v_state2(s47,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7590,plain,
    ( ~ m_main_v_state2(s49,c_t2)
    | ~ m_main_v_state2(s49,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_7608,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_277]) ).

tcf(c_7634,plain,
    ( m_main_v_state2(s48,c_n2)
    | ~ node4(s48) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_7635,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node4(s54) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_7646,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s11,X0)
      | ~ node13(s10,s11)
      | ~ m_main_v_state2(s10,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_7648,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s10,X0)
      | ~ node13(s10,s11)
      | ~ m_main_v_state2(s11,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_7656,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s22,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s23,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_7659,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node12(s24) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_7660,plain,
    ( m_main_v_state1(s31,c_c1)
    | ~ node10(s31) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_7661,plain,
    ( m_main_v_state1(s32,c_c1)
    | ~ node10(s32) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_7663,plain,
    ( m_main_v_state1(s36,c_c1)
    | ~ node10(s36) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_7668,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node9(s35) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_7672,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node10(s34) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_7674,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node9(s39) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_7679,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s47,X0)
      | ~ node13(s46,s47)
      | ~ m_main_v_state2(s46,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_7683,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node10(s58) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_7697,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_277]) ).

tcf(c_7721,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_277]) ).

tcf(c_7749,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_277]) ).

tcf(c_7861,plain,
    ( m_main_v_turn(s4,c_2)
    | ~ node18(s3,s4)
    | ~ m_main_v_state2(s3,c_t2)
    | ~ m_main_v_state1(s3,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_7873,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_312]) ).

tcf(c_7905,plain,
    ( m_main_v_turn(s48,c_2)
    | ~ node18(s47,s48)
    | ~ m_main_v_state2(s47,c_t2)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_312]) ).

tcf(c_7913,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_312]) ).

tcf(c_7917,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_6480]) ).

tcf(c_7924,plain,
    ( m_main_v_state2(s43,c_t2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s42,c_t2) ),
    inference(instantiation,[status(thm)],[c_6747]) ).

tcf(c_7965,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node10(s30) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_7969,plain,
    ( ~ m_main_v_state2(s38,c_t2)
    | ~ m_main_v_state2(s38,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_8043,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s45,X0)
      | ~ node6(s44,s45)
      | ~ m_main_v_state1(s44,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_8056,plain,
    ( m_main_v_state2(s52,c_n2)
    | ~ node4(s52) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_8060,plain,
    ( m_main_v_state2(s56,c_n2)
    | ~ node4(s56) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_8065,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node11(s1) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_8067,plain,
    ( m_main_v_state1(s1,c_n1)
    | ~ node3(s1) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8108,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node11(s12) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_8109,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node9(s12) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_8110,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node3(s12) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8111,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node2(s12) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_8174,plain,
    ( ~ m_main_v_state1(s32,c_t1)
    | ~ m_main_v_state1(s32,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_8192,plain,
    ( ~ m_main_v_state1(s36,c_t1)
    | ~ m_main_v_state1(s36,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_8201,plain,
    ( ~ m_main_v_state1(s40,c_t1)
    | ~ m_main_v_state1(s40,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_8222,plain,
    ( ~ m_main_v_state1(s47,c_t1)
    | ~ m_main_v_state1(s47,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_8354,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node3(s20) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8379,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node3(s28) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8484,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node11(s2) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_8485,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node9(s2) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_8486,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node3(s2) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8487,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node2(s2) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_8488,plain,
    ( m_main_v_state1(s2,c_n1)
    | ~ node1(s2) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_8500,plain,
    ( m_main_v_state1(s13,c_t1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s12,c_t1) ),
    inference(instantiation,[status(thm)],[c_7004]) ).

tcf(c_8501,plain,
    ( m_main_v_state1(s12,c_n1)
    | ~ node6(s12,s13)
    | ~ m_main_v_state1(s13,c_n1) ),
    inference(instantiation,[status(thm)],[c_7006]) ).

tcf(c_8506,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node3(s13) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8508,plain,
    ( m_main_v_state1(s13,c_n1)
    | ~ node1(s13) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_8636,plain,
    ( m_main_v_state1(s33,c_t1)
    | ~ node6(s32,s33)
    | ~ m_main_v_state1(s32,c_t1) ),
    inference(instantiation,[status(thm)],[c_7085]) ).

tcf(c_8637,plain,
    ( m_main_v_state1(s32,c_n1)
    | ~ node6(s32,s33)
    | ~ m_main_v_state1(s33,c_n1) ),
    inference(instantiation,[status(thm)],[c_7087]) ).

tcf(c_8642,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node3(s33) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8643,plain,
    ( m_main_v_state1(s33,c_n1)
    | ~ node2(s33) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_8684,plain,
    ( m_main_v_state1(s37,c_t1)
    | ~ node6(s36,s37)
    | ~ m_main_v_state1(s36,c_t1) ),
    inference(instantiation,[status(thm)],[c_7101]) ).

tcf(c_8685,plain,
    ( m_main_v_state1(s36,c_n1)
    | ~ node6(s36,s37)
    | ~ m_main_v_state1(s37,c_n1) ),
    inference(instantiation,[status(thm)],[c_7103]) ).

tcf(c_8690,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node3(s37) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8691,plain,
    ( m_main_v_state1(s37,c_n1)
    | ~ node2(s37) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_8712,plain,
    ( m_main_v_state1(s41,c_t1)
    | ~ node6(s40,s41)
    | ~ m_main_v_state1(s40,c_t1) ),
    inference(instantiation,[status(thm)],[c_7117]) ).

tcf(c_8713,plain,
    ( m_main_v_state1(s40,c_n1)
    | ~ node6(s40,s41)
    | ~ m_main_v_state1(s41,c_n1) ),
    inference(instantiation,[status(thm)],[c_7119]) ).

tcf(c_8718,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node3(s41) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_8719,plain,
    ( m_main_v_state1(s41,c_n1)
    | ~ node2(s41) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_8838,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s1)
      | ~ trans(s1,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_8845,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node10(s18) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_8855,plain,
    ( ~ m_main_v_state2(s6,c_t2)
    | ~ m_main_v_state2(s6,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_8873,plain,
    ( ~ m_main_v_state2(s27,c_t2)
    | ~ m_main_v_state2(s27,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_8880,plain,
    ( m_main_v_state1(s24,c_c1)
    | ~ node10(s24) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_8909,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node12(s32) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_8915,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node12(s36) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_8933,plain,
    ( ~ m_main_v_state2(s58,c_t2)
    | ~ m_main_v_state2(s58,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_9002,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node3(s53) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_9003,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node2(s53) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_9004,plain,
    ( m_main_v_state1(s53,c_n1)
    | ~ node1(s53) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_9016,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_282]) ).

tcf(c_9024,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node3(s57) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_9025,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node2(s57) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_9026,plain,
    ( m_main_v_state1(s57,c_n1)
    | ~ node1(s57) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_9214,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node11(s4) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_9215,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node9(s4) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_9216,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node3(s4) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_9217,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node2(s4) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_9302,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node11(s16) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_9303,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node9(s16) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_9304,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node3(s16) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_9306,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node1(s16) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_9348,plain,
    ( ~ m_main_v_turn(s26,c_2)
    | ~ m_main_v_turn(s26,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9358,plain,
    ( ~ m_main_v_turn(s30,c_2)
    | ~ m_main_v_turn(s30,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9371,plain,
    ( ~ m_main_v_turn(s34,c_2)
    | ~ m_main_v_turn(s34,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9388,plain,
    ( ~ m_main_v_turn(s38,c_2)
    | ~ m_main_v_turn(s38,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9394,plain,
    ( ~ m_main_v_turn(s40,c_2)
    | ~ m_main_v_turn(s40,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9400,plain,
    ( ~ m_main_v_turn(s42,c_2)
    | ~ m_main_v_turn(s42,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9407,plain,
    ( ~ m_main_v_turn(s44,c_2)
    | ~ m_main_v_turn(s44,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_9423,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_282]) ).

tcf(c_9431,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node3(s49) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_9432,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node2(s49) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_9433,plain,
    ( m_main_v_state1(s49,c_n1)
    | ~ node1(s49) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_9445,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_282]) ).

tcf(c_9490,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node9(s26) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_9491,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node3(s26) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_9492,plain,
    ( m_main_v_state1(s26,c_n1)
    | ~ node2(s26) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_9504,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node12(s28) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_9505,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s9,X0)
      | ~ node6(s8,s9)
      | ~ m_main_v_state1(s8,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_9520,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node10(s42) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_9536,plain,
    ( ~ m_main_v_state2(s30,c_t2)
    | ~ m_main_v_state2(s30,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_9579,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node12(s44) ),
    inference(instantiation,[status(thm)],[c_293]) ).

tcf(c_9592,plain,
    ( m_main_v_state2(s2,c_t2)
    | ~ node13(s1,s2)
    | ~ m_main_v_state2(s1,c_t2) ),
    inference(instantiation,[status(thm)],[c_7189]) ).

tcf(c_9599,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s3,X0)
      | ~ node13(s2,s3)
      | ~ m_main_v_state2(s2,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_9601,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s2,X0)
      | ~ node13(s2,s3)
      | ~ m_main_v_state2(s3,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_9617,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_7231]) ).

tcf(c_9621,plain,
    ( m_main_v_state1(s2,c_t1)
    | ~ node5(s2) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_9627,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_7259]) ).

tcf(c_9639,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_7299]) ).

tcf(c_9669,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_7382]) ).

tcf(c_9678,plain,
    ( m_main_v_state2(s31,c_n2)
    | ~ node9(s31) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_9679,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_7455]) ).

tcf(c_9685,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_7473]) ).

tcf(c_9690,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_7502]) ).

tcf(c_9704,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_7538]) ).

tcf(c_9707,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_7566]) ).

tcf(c_9711,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_7608]) ).

tcf(c_9782,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node2(s6) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_9790,plain,
    ( ~ m_main_v_state1(s44,c_t1)
    | ~ m_main_v_state1(s44,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_9845,plain,
    ( ~ m_main_v_state1(s11,c_t1)
    | ~ m_main_v_state1(s11,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_10017,plain,
    ( m_main_v_state1(s45,c_t1)
    | ~ node6(s44,s45)
    | ~ m_main_v_state1(s44,c_t1) ),
    inference(instantiation,[status(thm)],[c_8043]) ).

tcf(c_10068,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node4(s14) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_10192,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node5(s32) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_10207,plain,
    ( m_main_v_state1(s34,c_t1)
    | ~ node5(s34) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_10224,plain,
    ( m_main_v_turn(s36,c_1)
    | ~ node5(s36) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_10251,plain,
    ( m_main_v_turn(s40,c_1)
    | ~ node5(s40) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_10277,plain,
    ( m_main_v_state1(s42,c_t1)
    | ~ node5(s42) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_10288,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node16(s46) ),
    inference(instantiation,[status(thm)],[c_308]) ).

tcf(c_10309,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node4(s50) ),
    inference(instantiation,[status(thm)],[c_270]) ).

tcf(c_10374,plain,
    ( always25(s2)
    | ~ always25(s1)
    | ~ trans(s1,s2) ),
    inference(instantiation,[status(thm)],[c_8838]) ).

tcf(c_10404,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s19,X0)
      | ~ node13(s18,s19)
      | ~ m_main_v_state2(s18,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_10406,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s18,X0)
      | ~ node13(s18,s19)
      | ~ m_main_v_state2(s19,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_10447,plain,
    ( ~ m_main_v_state2(s22,c_t2)
    | ~ m_main_v_state2(s22,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_10551,plain,
    ( m_main_v_state1(s5,c_n1)
    | ~ node2(s5) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_10581,plain,
    ( m_main_v_state1(s11,c_c1)
    | ~ node10(s11) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_10642,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node10(s14) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_10715,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node3(s21) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_10716,plain,
    ( m_main_v_state1(s21,c_n1)
    | ~ node2(s21) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_10733,plain,
    ( ~ m_main_v_state1(s24,c_t1)
    | ~ m_main_v_state1(s24,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_10745,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node3(s25) ),
    inference(instantiation,[status(thm)],[c_268]) ).

tcf(c_10746,plain,
    ( m_main_v_state1(s25,c_n1)
    | ~ node2(s25) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_10783,plain,
    ( m_main_v_state2(s35,c_n2)
    | ~ node10(s35) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_10811,plain,
    ( m_main_v_state1(s40,c_c1)
    | ~ node10(s40) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_10859,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node10(s43) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_10920,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node10(s10) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_10933,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node9(s46) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_10955,plain,
    ( m_main_v_state1(s48,c_c1)
    | ~ node10(s48) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_10977,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s48,X0)
      | ~ node6(s48,s49)
      | ~ m_main_v_state1(s49,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_11051,plain,
    ( m_main_v_state2(s6,c_c2)
    | ~ node3(s6) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_11053,plain,
    ( m_main_v_state1(s14,c_t1)
    | ~ node5(s14) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_11062,plain,
    ( m_main_v_state2(s3,c_t2)
    | ~ node13(s2,s3)
    | ~ m_main_v_state2(s2,c_t2) ),
    inference(instantiation,[status(thm)],[c_9599]) ).

tcf(c_11066,plain,
    ( m_main_v_state2(s2,c_n2)
    | ~ node13(s2,s3)
    | ~ m_main_v_state2(s3,c_n2) ),
    inference(instantiation,[status(thm)],[c_9601]) ).

tcf(c_11117,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node5(s24) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_11124,plain,
    ( m_main_v_state1(s3,c_c1)
    | ~ node10(s3) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_11140,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s35,X0)
      | ~ node13(s34,s35)
      | ~ m_main_v_state2(s34,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_11142,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s34,X0)
      | ~ node13(s34,s35)
      | ~ m_main_v_state2(s35,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_11155,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(s33,c_n2)
      | ~ m_main_v_state1(s33,c_t1)
      | ~ node14(s33,X0) ),
    inference(instantiation,[status(thm)],[c_298]) ).

tcf(c_11181,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(s41,c_n2)
      | ~ m_main_v_state1(s41,c_t1)
      | ~ node14(s41,X0) ),
    inference(instantiation,[status(thm)],[c_298]) ).

tcf(c_11206,plain,
    ( m_main_v_turn(s46,c_2)
    | ~ node17(s46,s47)
    | ~ m_main_v_turn(s47,c_2) ),
    inference(instantiation,[status(thm)],[c_7135]) ).

tcf(c_11237,plain,
    ( ~ m_main_v_state1(s55,c_t1)
    | ~ m_main_v_state1(s55,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_11274,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s5,X0)
      | ~ node6(s4,s5)
      | ~ m_main_v_state1(s4,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_11328,plain,
    ( ~ m_main_v_state1(s16,c_t1)
    | ~ m_main_v_state1(s16,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_11336,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s17,X0)
      | ~ node6(s16,s17)
      | ~ m_main_v_state1(s16,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_11338,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s16,X0)
      | ~ node6(s16,s17)
      | ~ m_main_v_state1(s17,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_11452,plain,
    ( ~ m_main_v_state1(s31,c_t1)
    | ~ m_main_v_state1(s31,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_11460,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node10(s54) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_11468,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s7,X0)
      | ~ node13(s6,s7)
      | ~ m_main_v_state2(s6,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_11511,plain,
    ( m_main_v_state1(s8,c_c1)
    | ~ node10(s8) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_11839,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node16(s54) ),
    inference(instantiation,[status(thm)],[c_308]) ).

tcf(c_11923,plain,
    ( m_main_v_turn(s44,c_1)
    | ~ node5(s44) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_11947,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node2(s46) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_12028,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node16(s50) ),
    inference(instantiation,[status(thm)],[c_309]) ).

tcf(c_12052,plain,
    ( m_main_v_state1(s9,c_t1)
    | ~ node6(s8,s9)
    | ~ m_main_v_state1(s8,c_t1) ),
    inference(instantiation,[status(thm)],[c_9505]) ).

tcf(c_12075,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_9016]) ).

tcf(c_12083,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_9423]) ).

tcf(c_12085,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_9445]) ).

tcf(c_12087,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s2)
      | ~ trans(s2,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_12169,plain,
    ( m_main_v_state2(s43,c_n2)
    | ~ node9(s43) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_12181,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node10(s22) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_12220,plain,
    ( m_main_v_state2(s39,c_n2)
    | ~ node10(s39) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_12230,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node5(s22) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_12268,plain,
    ( m_main_v_turn(s28,c_1)
    | ~ node5(s28) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_12294,plain,
    ( m_main_v_state2(s3,c_n2)
    | ~ node9(s3) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_12332,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node8(s26) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_12373,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s55,X0)
      | ~ node13(s54,s55)
      | ~ m_main_v_state2(s54,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_12375,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s54,X0)
      | ~ node13(s54,s55)
      | ~ m_main_v_state2(s55,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_12451,plain,
    ( ~ m_main_v_turn(s28,c_2)
    | ~ m_main_v_turn(s28,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_12455,plain,
    ( ~ m_main_v_turn(s36,c_2)
    | ~ m_main_v_turn(s36,c_1) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_12679,plain,
    ( m_main_v_state2(s19,c_t2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s18,c_t2) ),
    inference(instantiation,[status(thm)],[c_10404]) ).

tcf(c_12684,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node9(s18) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_12692,plain,
    ( m_main_v_state2(s18,c_n2)
    | ~ node13(s18,s19)
    | ~ m_main_v_state2(s19,c_n2) ),
    inference(instantiation,[status(thm)],[c_10406]) ).

tcf(c_12744,plain,
    ( m_main_v_state2(s35,c_t2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s34,c_t2) ),
    inference(instantiation,[status(thm)],[c_11140]) ).

tcf(c_12751,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_11155]) ).

tcf(c_12754,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_11181]) ).

tcf(c_12810,plain,
    ( m_main_v_state2(s11,c_t2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s10,c_t2) ),
    inference(instantiation,[status(thm)],[c_7646]) ).

tcf(c_12816,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node5(s18) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_12837,plain,
    ( m_main_v_state2(s7,c_t2)
    | ~ node13(s6,s7)
    | ~ m_main_v_state2(s6,c_t2) ),
    inference(instantiation,[status(thm)],[c_11468]) ).

tcf(c_12838,plain,
    ( m_main_v_state2(s6,c_n2)
    | ~ node10(s6) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_12889,plain,
    ( m_main_v_state1(s50,c_t1)
    | ~ node5(s50) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_12955,plain,
    ( ~ m_main_v_state1(s15,c_t1)
    | ~ m_main_v_state1(s15,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_12988,plain,
    ( m_main_v_turn(s50,c_2)
    | ~ node17(s50,s51)
    | ~ m_main_v_turn(s51,c_2) ),
    inference(instantiation,[status(thm)],[c_7147]) ).

tcf(c_12999,plain,
    ( ~ m_main_v_state2(s53,c_t2)
    | ~ m_main_v_state2(s53,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_13030,plain,
    ( m_main_v_state1(s56,c_c1)
    | ~ node10(s56) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_13140,plain,
    ( ~ m_main_v_state1(s7,c_t1)
    | ~ m_main_v_state1(s7,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_13200,plain,
    ( m_main_v_state1(s54,c_t1)
    | ~ node5(s54) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_13203,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node4(s10) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_13228,plain,
    ( m_main_v_state1(s48,c_n1)
    | ~ node6(s48,s49)
    | ~ m_main_v_state1(s49,c_n1) ),
    inference(instantiation,[status(thm)],[c_10977]) ).

tcf(c_13249,plain,
    ( m_main_v_state1(s5,c_t1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s4,c_t1) ),
    inference(instantiation,[status(thm)],[c_11274]) ).

tcf(c_13255,plain,
    ( m_main_v_state1(s17,c_t1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s16,c_t1) ),
    inference(instantiation,[status(thm)],[c_11336]) ).

tcf(c_13274,plain,
    ( m_main_v_state1(s22,c_t1)
    | ~ node4(s22) ),
    inference(instantiation,[status(thm)],[c_270]) ).

tcf(c_13310,plain,
    ( always25(s3)
    | ~ always25(s2)
    | ~ trans(s2,s3) ),
    inference(instantiation,[status(thm)],[c_12087]) ).

tcf(c_13332,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node13(s42,s43)
    | ~ m_main_v_state2(s43,c_n2) ),
    inference(instantiation,[status(thm)],[c_6749]) ).

tcf(c_13625,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node10(s46) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_13632,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node10(s50) ),
    inference(instantiation,[status(thm)],[c_289]) ).

tcf(c_13735,plain,
    ( m_main_v_state1(s52,c_c1)
    | ~ node10(s52) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_13747,plain,
    ( m_main_v_state2(s46,c_n2)
    | ~ node4(s46) ),
    inference(instantiation,[status(thm)],[c_271]) ).

tcf(c_13757,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node11(s18) ),
    inference(instantiation,[status(thm)],[c_292]) ).

tcf(c_13892,plain,
    ( ~ m_main_v_state2(s34,c_t2)
    | ~ m_main_v_state2(s34,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_13944,plain,
    ( m_main_v_state2(s55,c_t2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s54,c_t2) ),
    inference(instantiation,[status(thm)],[c_12373]) ).

tcf(c_13959,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node5(s58) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_13969,plain,
    ( m_main_v_state1(s6,c_t1)
    | ~ node5(s6) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_14097,plain,
    ( m_main_v_turn(s16,c_1)
    | ~ node5(s16) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_14195,plain,
    ( m_main_v_state1(s51,c_c1)
    | ~ node10(s51) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_14255,plain,
    ( m_main_v_state1(s10,c_t1)
    | ~ node5(s10) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_14257,plain,
    ( m_main_v_turn(s48,c_1)
    | ~ node5(s48) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_14278,plain,
    ( m_main_v_state1(s38,c_t1)
    | ~ node5(s38) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_14632,plain,
    ( m_main_v_state2(s22,c_n2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s23,c_n2) ),
    inference(instantiation,[status(thm)],[c_7656]) ).

tcf(c_14701,plain,
    ( m_main_v_state2(s47,c_t2)
    | ~ node13(s46,s47)
    | ~ m_main_v_state2(s46,c_t2) ),
    inference(instantiation,[status(thm)],[c_7679]) ).

tcf(c_14855,plain,
    ( m_main_v_state1(s27,c_c1)
    | ~ node10(s27) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_14859,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node9(s42) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_14865,plain,
    ( m_main_v_state1(s55,c_c1)
    | ~ node10(s55) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_14882,plain,
    ( m_main_v_state2(s54,c_n2)
    | ~ node13(s54,s55)
    | ~ m_main_v_state2(s55,c_n2) ),
    inference(instantiation,[status(thm)],[c_12375]) ).

tcf(c_14938,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node5(s46) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_15024,plain,
    ( m_main_v_state2(s10,c_n2)
    | ~ node9(s10) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_15059,plain,
    ( m_main_v_state1(s23,c_t1)
    | ~ node8(s23) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_15076,plain,
    ( m_main_v_state2(s10,c_c2)
    | ~ node13(s10,s11)
    | ~ m_main_v_state2(s11,c_c2) ),
    inference(instantiation,[status(thm)],[c_7648]) ).

tcf(c_15126,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node16(s58) ),
    inference(instantiation,[status(thm)],[c_309]) ).

tcf(c_15258,plain,
    ( m_main_v_state1(s16,c_n1)
    | ~ node6(s16,s17)
    | ~ m_main_v_state1(s17,c_n1) ),
    inference(instantiation,[status(thm)],[c_11338]) ).

tcf(c_15294,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node9(s34) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_15471,plain,
    ( ~ m_main_v_state2(s45,c_t2)
    | ~ m_main_v_state2(s45,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_15612,plain,
    ( m_main_v_state1(s16,c_c1)
    | ~ node10(s16) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_15629,plain,
    ( ~ m_main_v_state2(s57,c_t2)
    | ~ m_main_v_state2(s57,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_15653,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node13(s34,s35)
    | ~ m_main_v_state2(s35,c_n2) ),
    inference(instantiation,[status(thm)],[c_11142]) ).

tcf(c_16165,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_298]) ).

tcf(c_16193,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_298]) ).

tcf(c_16221,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_298]) ).

tcf(c_16277,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_298]) ).

tcf(c_16453,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s1,c_c2)
      | ~ node14(X0,s1)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16454,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s1,c_c2)
    | ~ node14(s59,s1)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16453]) ).

tcf(c_16461,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s2,c_c2)
      | ~ node14(X0,s2)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16462,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s2,c_c2)
    | ~ node14(s59,s2)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16461]) ).

tcf(c_16484,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s6,c_c2)
      | ~ node14(X0,s6)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16485,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s6,c_c2)
    | ~ node14(s59,s6)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16484]) ).

tcf(c_16492,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s7,c_c2)
      | ~ node14(X0,s7)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16493,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s7,c_c2)
    | ~ node14(s59,s7)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16492]) ).

tcf(c_16516,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s11,c_c2)
      | ~ node14(X0,s11)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16517,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s11,c_c2)
    | ~ node14(s59,s11)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16516]) ).

tcf(c_16525,plain,
    ( m_main_v_state2(s14,c_c2)
    | ~ node3(s14) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_16528,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s14,c_c2)
      | ~ node14(X0,s14)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16529,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s14,c_c2)
    | ~ node14(s59,s14)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16528]) ).

tcf(c_16543,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s15,c_c2)
      | ~ node14(X0,s15)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16544,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s15,c_c2)
    | ~ node14(s59,s15)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16543]) ).

tcf(c_16557,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node4(s18) ),
    inference(instantiation,[status(thm)],[c_270]) ).

tcf(c_16560,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s18,c_t1)
      | ~ node7(X0,s18)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_277]) ).

tcf(c_16561,plain,
    ( m_main_v_state1(s18,c_t1)
    | ~ node7(s59,s18)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16560]) ).

tcf(c_16566,plain,
    ( m_main_v_state2(s18,c_c2)
    | ~ node3(s18) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_16597,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s23,c_c2)
      | ~ node14(X0,s23)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16598,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s23,c_c2)
    | ~ node14(s59,s23)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16597]) ).

tcf(c_16618,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node4(s26) ),
    inference(instantiation,[status(thm)],[c_270]) ).

tcf(c_16621,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s26,c_t1)
      | ~ node7(X0,s26)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_277]) ).

tcf(c_16622,plain,
    ( m_main_v_state1(s26,c_t1)
    | ~ node7(s59,s26)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16621]) ).

tcf(c_16653,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s27,c_c2)
      | ~ node14(X0,s27)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16654,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s27,c_c2)
    | ~ node14(s59,s27)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16653]) ).

tcf(c_16693,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s31,c_t1)
      | ~ node7(X0,s31)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_277]) ).

tcf(c_16694,plain,
    ( m_main_v_state1(s31,c_t1)
    | ~ node7(s59,s31)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16693]) ).

tcf(c_16730,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s35,c_c2)
      | ~ node14(X0,s35)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16731,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s35,c_c2)
    | ~ node14(s59,s35)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16730]) ).

tcf(c_16744,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s37,c_c2)
      | ~ node14(X0,s37)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16745,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s37,c_c2)
    | ~ node14(s59,s37)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16744]) ).

tcf(c_16756,plain,
    ( m_main_v_state2(s38,c_c2)
    | ~ node3(s38) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_16759,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s38,c_c2)
      | ~ node14(X0,s38)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16760,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s38,c_c2)
    | ~ node14(s59,s38)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16759]) ).

tcf(c_16830,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s49,c_c2)
      | ~ node14(X0,s49)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16831,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s49,c_c2)
    | ~ node14(s59,s49)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16830]) ).

tcf(c_16851,plain,
    ( m_main_v_state2(s54,c_c2)
    | ~ node3(s54) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_16854,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s54,c_c2)
      | ~ node14(X0,s54)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16855,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s54,c_c2)
    | ~ node14(s59,s54)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16854]) ).

tcf(c_16889,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s58,c_c2)
      | ~ node14(X0,s58)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_16890,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s58,c_c2)
    | ~ node14(s59,s58)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_16889]) ).

tcf(c_16902,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s4,X0)
      | ~ node6(s4,s5)
      | ~ m_main_v_state1(s5,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_16938,plain,
    ( m_main_v_state1(s18,c_n1)
    | ~ node1(s18) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_16943,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s21,X0)
      | ~ node6(s20,s21)
      | ~ m_main_v_state1(s20,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_16944,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s20,X0)
      | ~ node6(s20,s21)
      | ~ m_main_v_state1(s21,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_16955,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s25,X0)
      | ~ node6(s24,s25)
      | ~ m_main_v_state1(s24,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_16956,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s24,X0)
      | ~ node6(s24,s25)
      | ~ m_main_v_state1(s25,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_16967,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s29,X0)
      | ~ node6(s28,s29)
      | ~ m_main_v_state1(s28,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_16968,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s28,X0)
      | ~ node6(s28,s29)
      | ~ m_main_v_state1(s29,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_16971,plain,
    ( m_main_v_state1(s29,c_n1)
    | ~ node2(s29) ),
    inference(instantiation,[status(thm)],[c_266]) ).

tcf(c_17027,plain,
    ( m_main_v_state2(s42,c_n2)
    | ~ node2(s42) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_17075,plain,
    ! [X0: $i] :
      ( m_main_v_turn(s54,X0)
      | ~ node17(s54,s55)
      | ~ m_main_v_turn(s55,X0) ),
    inference(instantiation,[status(thm)],[c_311]) ).

tcf(c_17087,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s57,X0)
      | ~ node6(s56,s57)
      | ~ m_main_v_state1(s56,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_17088,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s56,X0)
      | ~ node6(s56,s57)
      | ~ m_main_v_state1(s57,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_17107,plain,
    ( ~ m_main_v_state2(s2,c_t2)
    | ~ m_main_v_state2(s2,c_n2) ),
    inference(instantiation,[status(thm)],[c_256]) ).

tcf(c_17114,plain,
    ( m_main_v_state2(s5,c_c2)
    | ~ node3(s5) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_17117,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s5,c_c2)
      | ~ node14(X0,s5)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17118,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s5,c_c2)
    | ~ node14(s59,s5)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17117]) ).

tcf(c_17148,plain,
    ( m_main_v_state2(s10,c_c2)
    | ~ node3(s10) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_17151,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s10,c_c2)
      | ~ node14(X0,s10)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17152,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s10,c_c2)
    | ~ node14(s59,s10)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17151]) ).

tcf(c_17169,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s13,c_c2)
      | ~ node14(X0,s13)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17170,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s13,c_c2)
    | ~ node14(s59,s13)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17169]) ).

tcf(c_17197,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s17,c_c2)
      | ~ node14(X0,s17)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17198,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s17,c_c2)
    | ~ node14(s59,s17)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17197]) ).

tcf(c_17208,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s19,c_c2)
      | ~ node14(X0,s19)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17209,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s19,c_c2)
    | ~ node14(s59,s19)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17208]) ).

tcf(c_17245,plain,
    ( m_main_v_state1(s46,c_t1)
    | ~ node12(s46) ),
    inference(instantiation,[status(thm)],[c_294]) ).

tcf(c_17264,plain,
    ( m_main_v_state2(s29,c_c2)
    | ~ node3(s29) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_17267,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s29,c_c2)
      | ~ node14(X0,s29)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17268,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s29,c_c2)
    | ~ node14(s59,s29)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17267]) ).

tcf(c_17293,plain,
    ( m_main_v_state2(s34,c_c2)
    | ~ node3(s34) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_17296,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s34,c_c2)
      | ~ node14(X0,s34)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17297,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s34,c_c2)
    | ~ node14(s59,s34)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17296]) ).

tcf(c_17348,plain,
    ( m_main_v_state2(s45,c_c2)
    | ~ node3(s45) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_17351,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s45,c_c2)
      | ~ node14(X0,s45)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17352,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s45,c_c2)
    | ~ node14(s59,s45)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17351]) ).

tcf(c_17375,plain,
    ( m_main_v_state2(s46,c_c2)
    | ~ node3(s46) ),
    inference(instantiation,[status(thm)],[c_269]) ).

tcf(c_17378,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s46,c_c2)
      | ~ node14(X0,s46)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17379,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s46,c_c2)
    | ~ node14(s59,s46)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17378]) ).

tcf(c_17409,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s50,c_c2)
      | ~ node14(X0,s50)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17410,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s50,c_c2)
    | ~ node14(s59,s50)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17409]) ).

tcf(c_17543,plain,
    ! [X0: $i] :
      ( node10(X0)
      | node9(X0)
      | node8(X0)
      | m_main_v_state2(s57,c_c2)
      | ~ node14(X0,s57)
      | ~ m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state1(X0,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_17544,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s57,c_c2)
    | ~ node14(s59,s57)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17877,plain,
    ! [X0: $i,X1: $i] :
      ( m_main_v_state2(X1,X0)
      | ~ node13(s58,X1)
      | ~ m_main_v_state2(s58,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_17878,plain,
    ! [X0: $i,X1: $i] :
      ( m_main_v_state2(s58,X1)
      | ~ node13(s58,X0)
      | ~ m_main_v_state2(X0,X1) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_17940,plain,
    ( m_main_v_state2(s34,c_n2)
    | ~ node2(s34) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_18092,plain,
    ( m_main_v_state1(s30,c_t1)
    | ~ node5(s30) ),
    inference(instantiation,[status(thm)],[c_272]) ).

tcf(c_18185,plain,
    ( m_main_v_state1(s4,c_n1)
    | ~ node6(s4,s5)
    | ~ m_main_v_state1(s5,c_n1) ),
    inference(instantiation,[status(thm)],[c_16902]) ).

tcf(c_18235,plain,
    ( m_main_v_state1(s20,c_n1)
    | ~ node6(s20,s21)
    | ~ m_main_v_state1(s21,c_n1) ),
    inference(instantiation,[status(thm)],[c_16944]) ).

tcf(c_18253,plain,
    ( m_main_v_state1(s24,c_n1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s25,c_n1) ),
    inference(instantiation,[status(thm)],[c_16956]) ).

tcf(c_18428,plain,
    ( m_main_v_turn(s54,c_2)
    | ~ node17(s54,s55)
    | ~ m_main_v_turn(s55,c_2) ),
    inference(instantiation,[status(thm)],[c_17075]) ).

tcf(c_18475,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node9(s14) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_18736,plain,
    ( ~ m_main_v_state1(s51,c_t1)
    | ~ m_main_v_state1(s51,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_18929,plain,
    ( ~ m_main_v_state1(s23,c_t1)
    | ~ m_main_v_state1(s23,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_19012,plain,
    ( m_main_v_state2(s14,c_n2)
    | ~ node2(s14) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_19065,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node11(s28) ),
    inference(instantiation,[status(thm)],[c_291]) ).

tcf(c_19084,plain,
    ( m_main_v_state1(s20,c_c1)
    | ~ node10(s20) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_19115,plain,
    ( m_main_v_state1(s44,c_c1)
    | ~ node10(s44) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_19117,plain,
    ( m_main_v_state1(s47,c_c1)
    | ~ node10(s47) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_19146,plain,
    ( m_main_v_state2(s11,c_n2)
    | ~ node9(s11) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_19160,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s27,X0)
      | ~ node13(s26,s27)
      | ~ m_main_v_state2(s26,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_19161,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s26,X0)
      | ~ node13(s26,s27)
      | ~ m_main_v_state2(s27,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_19172,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s39,X0)
      | ~ node13(s38,s39)
      | ~ m_main_v_state2(s38,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_19174,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s38,X0)
      | ~ node13(s38,s39)
      | ~ m_main_v_state2(s39,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_19293,plain,
    ( ~ m_main_v_state1(s45,c_t1)
    | ~ m_main_v_state1(s45,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_19295,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node1(s28) ),
    inference(instantiation,[status(thm)],[c_265]) ).

tcf(c_19298,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node2(s30) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_19565,plain,
    ( ~ m_main_v_state1(s9,c_t1)
    | ~ m_main_v_state1(s9,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_20787,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s15,X0)
      | ~ node13(s14,s15)
      | ~ m_main_v_state2(s14,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_20990,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s23,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s22,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_20991,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s22,X0)
      | ~ node13(s22,s23)
      | ~ m_main_v_state2(s23,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_21057,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s31,X0)
      | ~ node13(s30,s31)
      | ~ m_main_v_state2(s30,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_21059,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s30,X0)
      | ~ node13(s30,s31)
      | ~ m_main_v_state2(s31,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_21132,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s51,X0)
      | ~ node13(s50,s51)
      | ~ m_main_v_state2(s50,X0) ),
    inference(instantiation,[status(thm)],[c_296]) ).

tcf(c_21133,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s50,X0)
      | ~ node13(s50,s51)
      | ~ m_main_v_state2(s51,X0) ),
    inference(instantiation,[status(thm)],[c_297]) ).

tcf(c_21385,plain,
    ( m_main_v_turn(s56,c_1)
    | ~ node5(s56) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_21412,plain,
    ( m_main_v_state2(s27,c_t2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s26,c_t2) ),
    inference(instantiation,[status(thm)],[c_19160]) ).

tcf(c_21421,plain,
    ( m_main_v_state2(s26,c_c2)
    | ~ node13(s26,s27)
    | ~ m_main_v_state2(s27,c_c2) ),
    inference(instantiation,[status(thm)],[c_19161]) ).

tcf(c_21423,plain,
    ( m_main_v_state2(s27,c_n2)
    | ~ node9(s27) ),
    inference(instantiation,[status(thm)],[c_287]) ).

tcf(c_21454,plain,
    ( m_main_v_state2(s39,c_t2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s38,c_t2) ),
    inference(instantiation,[status(thm)],[c_19172]) ).

tcf(c_21466,plain,
    ! [X0: $i] :
      ( m_main_v_state2(X0,c_t2)
      | ~ m_main_v_state2(s58,c_t2)
      | ~ node13(s58,X0) ),
    inference(instantiation,[status(thm)],[c_17877]) ).

tcf(c_21467,plain,
    ( m_main_v_state2(s59,c_t2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s58,c_t2) ),
    inference(instantiation,[status(thm)],[c_21466]) ).

tcf(c_21593,plain,
    ( m_main_v_state1(s25,c_t1)
    | ~ node6(s24,s25)
    | ~ m_main_v_state1(s24,c_t1) ),
    inference(instantiation,[status(thm)],[c_16955]) ).

tcf(c_21876,plain,
    ( m_main_v_state2(s38,c_n2)
    | ~ node13(s38,s39)
    | ~ m_main_v_state2(s39,c_n2) ),
    inference(instantiation,[status(thm)],[c_19174]) ).

tcf(c_21890,plain,
    ! [X0: $i] :
      ( m_main_v_state2(s58,c_n2)
      | ~ node13(s58,X0)
      | ~ m_main_v_state2(X0,c_n2) ),
    inference(instantiation,[status(thm)],[c_17878]) ).

tcf(c_21891,plain,
    ( m_main_v_state2(s58,c_n2)
    | ~ node13(s58,s59)
    | ~ m_main_v_state2(s59,c_n2) ),
    inference(instantiation,[status(thm)],[c_21890]) ).

tcf(c_22121,plain,
    ( m_main_v_state1(s28,c_c1)
    | ~ node10(s28) ),
    inference(instantiation,[status(thm)],[c_290]) ).

tcf(c_22593,plain,
    ( m_main_v_state1(s21,c_t1)
    | ~ node6(s20,s21)
    | ~ m_main_v_state1(s20,c_t1) ),
    inference(instantiation,[status(thm)],[c_16943]) ).

tcf(c_22669,plain,
    ( m_main_v_state1(s29,c_t1)
    | ~ node6(s28,s29)
    | ~ m_main_v_state1(s28,c_t1) ),
    inference(instantiation,[status(thm)],[c_16967]) ).

tcf(c_23355,plain,
    ( m_main_v_state2(s15,c_t2)
    | ~ node13(s14,s15)
    | ~ m_main_v_state2(s14,c_t2) ),
    inference(instantiation,[status(thm)],[c_20787]) ).

tcf(c_23369,plain,
    ( m_main_v_state2(s23,c_t2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s22,c_t2) ),
    inference(instantiation,[status(thm)],[c_20990]) ).

tcf(c_23372,plain,
    ( m_main_v_state2(s22,c_c2)
    | ~ node13(s22,s23)
    | ~ m_main_v_state2(s23,c_c2) ),
    inference(instantiation,[status(thm)],[c_20991]) ).

tcf(c_23386,plain,
    ( m_main_v_state2(s30,c_n2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s31,c_n2) ),
    inference(instantiation,[status(thm)],[c_21059]) ).

tcf(c_23561,plain,
    ( m_main_v_state1(s28,c_n1)
    | ~ node6(s28,s29)
    | ~ m_main_v_state1(s29,c_n1) ),
    inference(instantiation,[status(thm)],[c_16968]) ).

tcf(c_23570,plain,
    ( m_main_v_state1(s58,c_t1)
    | ~ node4(s58) ),
    inference(instantiation,[status(thm)],[c_270]) ).

tcf(c_23825,plain,
    ( m_main_v_state2(s31,c_t2)
    | ~ node13(s30,s31)
    | ~ m_main_v_state2(s30,c_t2) ),
    inference(instantiation,[status(thm)],[c_21057]) ).

tcf(c_24017,plain,
    ( m_main_v_state2(s50,c_n2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s51,c_n2) ),
    inference(instantiation,[status(thm)],[c_21133]) ).

tcf(c_24744,plain,
    ( m_main_v_state1(s56,c_n1)
    | ~ node6(s56,s57)
    | ~ m_main_v_state1(s57,c_n1) ),
    inference(instantiation,[status(thm)],[c_17088]) ).

tcf(c_24982,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s3)
      | ~ trans(s3,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_25165,plain,
    ( m_main_v_state2(s51,c_t2)
    | ~ node13(s50,s51)
    | ~ m_main_v_state2(s50,c_t2) ),
    inference(instantiation,[status(thm)],[c_21132]) ).

tcf(c_25614,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s53,X0)
      | ~ node6(s52,s53)
      | ~ m_main_v_state1(s52,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_25615,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s52,X0)
      | ~ node6(s52,s53)
      | ~ m_main_v_state1(s53,X0) ),
    inference(instantiation,[status(thm)],[c_276]) ).

tcf(c_25862,plain,
    ( m_main_v_state1(s57,c_t1)
    | ~ node6(s56,s57)
    | ~ m_main_v_state1(s56,c_t1) ),
    inference(instantiation,[status(thm)],[c_17087]) ).

tcf(c_25935,plain,
    ! [X0: $i] :
      ( m_main_v_state1(s49,X0)
      | ~ node6(s48,s49)
      | ~ m_main_v_state1(s48,X0) ),
    inference(instantiation,[status(thm)],[c_275]) ).

tcf(c_25966,plain,
    ( always25(s4)
    | ~ always25(s3)
    | ~ trans(s3,s4) ),
    inference(instantiation,[status(thm)],[c_24982]) ).

tcf(c_26329,plain,
    ( m_main_v_state1(s53,c_t1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s52,c_t1) ),
    inference(instantiation,[status(thm)],[c_25614]) ).

tcf(c_26332,plain,
    ( m_main_v_state1(s52,c_n1)
    | ~ node6(s52,s53)
    | ~ m_main_v_state1(s53,c_n1) ),
    inference(instantiation,[status(thm)],[c_25615]) ).

tcf(c_26341,plain,
    ( m_main_v_state1(s49,c_t1)
    | ~ node6(s48,s49)
    | ~ m_main_v_state1(s48,c_t1) ),
    inference(instantiation,[status(thm)],[c_25935]) ).

tcf(c_26347,plain,
    ( ~ always25(s4)
    | ~ m_main_v_state2(s4,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_26790,plain,
    ( ~ m_main_v_state1(s20,c_t1)
    | ~ m_main_v_state1(s20,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_26794,plain,
    ( ~ m_main_v_state1(s28,c_t1)
    | ~ m_main_v_state1(s28,c_n1) ),
    inference(instantiation,[status(thm)],[c_252]) ).

tcf(c_27265,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s1)
      | ~ succ(s1,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27392,plain,
    ( until27(s2)
    | ~ xuntil28(s1)
    | ~ succ(s1,s2) ),
    inference(instantiation,[status(thm)],[c_27265]) ).

tcf(c_27400,plain,
    ( xuntil28(s2)
    | node26(s2)
    | ~ until27(s2) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27402,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s2)
      | ~ succ(s2,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27406,plain,
    ( until27(s3)
    | ~ xuntil28(s2)
    | ~ succ(s2,s3) ),
    inference(instantiation,[status(thm)],[c_27402]) ).

tcf(c_27407,plain,
    ( xuntil28(s3)
    | node26(s3)
    | ~ until27(s3) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27409,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s3)
      | ~ succ(s3,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27413,plain,
    ( until27(s4)
    | ~ xuntil28(s3)
    | ~ succ(s3,s4) ),
    inference(instantiation,[status(thm)],[c_27409]) ).

tcf(c_27414,plain,
    ( xuntil28(s4)
    | node26(s4)
    | ~ until27(s4) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27416,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27420,plain,
    ( until27(s5)
    | ~ xuntil28(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_27416]) ).

tcf(c_27421,plain,
    ( xuntil28(s5)
    | node26(s5)
    | ~ until27(s5) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27423,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27427,plain,
    ( until27(s6)
    | ~ xuntil28(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_27423]) ).

tcf(c_27428,plain,
    ( xuntil28(s6)
    | node26(s6)
    | ~ until27(s6) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27430,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27434,plain,
    ( until27(s7)
    | ~ xuntil28(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_27430]) ).

tcf(c_27435,plain,
    ( xuntil28(s7)
    | node26(s7)
    | ~ until27(s7) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27437,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27441,plain,
    ( until27(s8)
    | ~ xuntil28(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_27437]) ).

tcf(c_27442,plain,
    ( xuntil28(s8)
    | node26(s8)
    | ~ until27(s8) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27444,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27448,plain,
    ( until27(s9)
    | ~ xuntil28(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_27444]) ).

tcf(c_27449,plain,
    ( xuntil28(s9)
    | node26(s9)
    | ~ until27(s9) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27451,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27455,plain,
    ( until27(s10)
    | ~ xuntil28(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_27451]) ).

tcf(c_27456,plain,
    ( xuntil28(s10)
    | node26(s10)
    | ~ until27(s10) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27458,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27462,plain,
    ( until27(s11)
    | ~ xuntil28(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_27458]) ).

tcf(c_27463,plain,
    ( xuntil28(s11)
    | node26(s11)
    | ~ until27(s11) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27465,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27469,plain,
    ( until27(s12)
    | ~ xuntil28(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_27465]) ).

tcf(c_27470,plain,
    ( xuntil28(s12)
    | node26(s12)
    | ~ until27(s12) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27472,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27476,plain,
    ( until27(s13)
    | ~ xuntil28(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_27472]) ).

tcf(c_27477,plain,
    ( xuntil28(s13)
    | node26(s13)
    | ~ until27(s13) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27479,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27483,plain,
    ( until27(s14)
    | ~ xuntil28(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_27479]) ).

tcf(c_27484,plain,
    ( xuntil28(s14)
    | node26(s14)
    | ~ until27(s14) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27486,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27490,plain,
    ( until27(s15)
    | ~ xuntil28(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_27486]) ).

tcf(c_27491,plain,
    ( xuntil28(s15)
    | node26(s15)
    | ~ until27(s15) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27493,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27497,plain,
    ( until27(s16)
    | ~ xuntil28(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_27493]) ).

tcf(c_27498,plain,
    ( xuntil28(s16)
    | node26(s16)
    | ~ until27(s16) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27500,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27504,plain,
    ( until27(s17)
    | ~ xuntil28(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_27500]) ).

tcf(c_27505,plain,
    ( xuntil28(s17)
    | node26(s17)
    | ~ until27(s17) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27507,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27511,plain,
    ( until27(s18)
    | ~ xuntil28(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_27507]) ).

tcf(c_27512,plain,
    ( xuntil28(s18)
    | node26(s18)
    | ~ until27(s18) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27514,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27518,plain,
    ( until27(s19)
    | ~ xuntil28(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_27514]) ).

tcf(c_27519,plain,
    ( xuntil28(s19)
    | node26(s19)
    | ~ until27(s19) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27521,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27525,plain,
    ( until27(s20)
    | ~ xuntil28(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_27521]) ).

tcf(c_27526,plain,
    ( xuntil28(s20)
    | node26(s20)
    | ~ until27(s20) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27528,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27532,plain,
    ( until27(s21)
    | ~ xuntil28(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_27528]) ).

tcf(c_27533,plain,
    ( xuntil28(s21)
    | node26(s21)
    | ~ until27(s21) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27535,plain,
    ( m_main_v_state2(s21,c_t2)
    | ~ node26(s21) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27540,plain,
    ( always25(s2)
    | ~ node26(s2) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27546,plain,
    ( always25(s3)
    | ~ node26(s3) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27560,plain,
    ( always25(s6)
    | ~ node26(s6) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27562,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s6)
      | ~ trans(s6,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27568,plain,
    ( always25(s7)
    | ~ always25(s6)
    | ~ trans(s6,s7) ),
    inference(instantiation,[status(thm)],[c_27562]) ).

tcf(c_27569,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s7)
      | ~ trans(s7,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27573,plain,
    ( always25(s8)
    | ~ always25(s7)
    | ~ trans(s7,s8) ),
    inference(instantiation,[status(thm)],[c_27569]) ).

tcf(c_27576,plain,
    ( ~ always25(s8)
    | ~ m_main_v_state2(s8,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27582,plain,
    ( always25(s7)
    | ~ node26(s7) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27596,plain,
    ( always25(s10)
    | ~ node26(s10) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27598,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s10)
      | ~ trans(s10,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27604,plain,
    ( always25(s11)
    | ~ always25(s10)
    | ~ trans(s10,s11) ),
    inference(instantiation,[status(thm)],[c_27598]) ).

tcf(c_27605,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s11)
      | ~ trans(s11,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27609,plain,
    ( always25(s12)
    | ~ always25(s11)
    | ~ trans(s11,s12) ),
    inference(instantiation,[status(thm)],[c_27605]) ).

tcf(c_27612,plain,
    ( ~ always25(s12)
    | ~ m_main_v_state2(s12,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27618,plain,
    ( always25(s11)
    | ~ node26(s11) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27632,plain,
    ( always25(s14)
    | ~ node26(s14) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27634,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s14)
      | ~ trans(s14,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27641,plain,
    ( always25(s15)
    | ~ always25(s14)
    | ~ trans(s14,s15) ),
    inference(instantiation,[status(thm)],[c_27634]) ).

tcf(c_27642,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s15)
      | ~ trans(s15,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27646,plain,
    ( always25(s16)
    | ~ always25(s15)
    | ~ trans(s15,s16) ),
    inference(instantiation,[status(thm)],[c_27642]) ).

tcf(c_27649,plain,
    ( ~ always25(s16)
    | ~ m_main_v_state2(s16,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27655,plain,
    ( always25(s15)
    | ~ node26(s15) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27669,plain,
    ( always25(s18)
    | ~ node26(s18) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27671,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s18)
      | ~ trans(s18,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27678,plain,
    ( always25(s19)
    | ~ always25(s18)
    | ~ trans(s18,s19) ),
    inference(instantiation,[status(thm)],[c_27671]) ).

tcf(c_27679,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s19)
      | ~ trans(s19,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27683,plain,
    ( always25(s20)
    | ~ always25(s19)
    | ~ trans(s19,s20) ),
    inference(instantiation,[status(thm)],[c_27679]) ).

tcf(c_27686,plain,
    ( ~ always25(s20)
    | ~ m_main_v_state2(s20,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27692,plain,
    ( always25(s19)
    | ~ node26(s19) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27703,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27707,plain,
    ( until27(s22)
    | ~ xuntil28(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_27703]) ).

tcf(c_27708,plain,
    ( xuntil28(s22)
    | node26(s22)
    | ~ until27(s22) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27709,plain,
    ( always25(s22)
    | ~ node26(s22) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27711,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s22)
      | ~ trans(s22,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27719,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27723,plain,
    ( until27(s23)
    | ~ xuntil28(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_27719]) ).

tcf(c_27724,plain,
    ( xuntil28(s23)
    | node26(s23)
    | ~ until27(s23) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27725,plain,
    ( always25(s23)
    | ~ node26(s23) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27727,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s23)
      | ~ trans(s23,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27738,plain,
    ( always25(s23)
    | ~ always25(s22)
    | ~ trans(s22,s23) ),
    inference(instantiation,[status(thm)],[c_27711]) ).

tcf(c_27744,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27748,plain,
    ( until27(s24)
    | ~ xuntil28(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_27744]) ).

tcf(c_27749,plain,
    ( xuntil28(s24)
    | node26(s24)
    | ~ until27(s24) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27751,plain,
    ( m_main_v_state2(s24,c_t2)
    | ~ node26(s24) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27754,plain,
    ( ~ always25(s24)
    | ~ m_main_v_state2(s24,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27764,plain,
    ( always25(s24)
    | ~ always25(s23)
    | ~ trans(s23,s24) ),
    inference(instantiation,[status(thm)],[c_27727]) ).

tcf(c_27774,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27778,plain,
    ( until27(s25)
    | ~ xuntil28(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_27774]) ).

tcf(c_27779,plain,
    ( xuntil28(s25)
    | node26(s25)
    | ~ until27(s25) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27781,plain,
    ( m_main_v_state2(s25,c_t2)
    | ~ node26(s25) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27787,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27791,plain,
    ( until27(s26)
    | ~ xuntil28(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_27787]) ).

tcf(c_27792,plain,
    ( xuntil28(s26)
    | node26(s26)
    | ~ until27(s26) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27793,plain,
    ( always25(s26)
    | ~ node26(s26) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27795,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s26)
      | ~ trans(s26,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27802,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27806,plain,
    ( until27(s27)
    | ~ xuntil28(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_27802]) ).

tcf(c_27807,plain,
    ( xuntil28(s27)
    | node26(s27)
    | ~ until27(s27) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27808,plain,
    ( always25(s27)
    | ~ node26(s27) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27810,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s27)
      | ~ trans(s27,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27822,plain,
    ( always25(s27)
    | ~ always25(s26)
    | ~ trans(s26,s27) ),
    inference(instantiation,[status(thm)],[c_27795]) ).

tcf(c_27828,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27832,plain,
    ( until27(s28)
    | ~ xuntil28(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_27828]) ).

tcf(c_27833,plain,
    ( xuntil28(s28)
    | node26(s28)
    | ~ until27(s28) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27835,plain,
    ( m_main_v_state2(s28,c_t2)
    | ~ node26(s28) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27838,plain,
    ( ~ always25(s28)
    | ~ m_main_v_state2(s28,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27848,plain,
    ( always25(s28)
    | ~ always25(s27)
    | ~ trans(s27,s28) ),
    inference(instantiation,[status(thm)],[c_27810]) ).

tcf(c_27858,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27862,plain,
    ( until27(s29)
    | ~ xuntil28(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_27858]) ).

tcf(c_27863,plain,
    ( xuntil28(s29)
    | node26(s29)
    | ~ until27(s29) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27865,plain,
    ( m_main_v_state2(s29,c_t2)
    | ~ node26(s29) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27871,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27875,plain,
    ( until27(s30)
    | ~ xuntil28(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_27871]) ).

tcf(c_27876,plain,
    ( xuntil28(s30)
    | node26(s30)
    | ~ until27(s30) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27877,plain,
    ( always25(s30)
    | ~ node26(s30) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27879,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s30)
      | ~ trans(s30,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27887,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27891,plain,
    ( until27(s31)
    | ~ xuntil28(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_27887]) ).

tcf(c_27892,plain,
    ( xuntil28(s31)
    | node26(s31)
    | ~ until27(s31) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27893,plain,
    ( always25(s31)
    | ~ node26(s31) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27895,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s31)
      | ~ trans(s31,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27907,plain,
    ( always25(s31)
    | ~ always25(s30)
    | ~ trans(s30,s31) ),
    inference(instantiation,[status(thm)],[c_27879]) ).

tcf(c_27913,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27917,plain,
    ( until27(s32)
    | ~ xuntil28(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_27913]) ).

tcf(c_27918,plain,
    ( xuntil28(s32)
    | node26(s32)
    | ~ until27(s32) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27920,plain,
    ( m_main_v_state2(s32,c_t2)
    | ~ node26(s32) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27923,plain,
    ( ~ always25(s32)
    | ~ m_main_v_state2(s32,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_27933,plain,
    ( always25(s32)
    | ~ always25(s31)
    | ~ trans(s31,s32) ),
    inference(instantiation,[status(thm)],[c_27895]) ).

tcf(c_27943,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27947,plain,
    ( until27(s33)
    | ~ xuntil28(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_27943]) ).

tcf(c_27948,plain,
    ( xuntil28(s33)
    | node26(s33)
    | ~ until27(s33) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27950,plain,
    ( m_main_v_state2(s33,c_t2)
    | ~ node26(s33) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_27956,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27960,plain,
    ( until27(s34)
    | ~ xuntil28(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_27956]) ).

tcf(c_27961,plain,
    ( xuntil28(s34)
    | node26(s34)
    | ~ until27(s34) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27962,plain,
    ( always25(s34)
    | ~ node26(s34) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27964,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s34)
      | ~ trans(s34,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27971,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_27975,plain,
    ( until27(s35)
    | ~ xuntil28(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_27971]) ).

tcf(c_27976,plain,
    ( xuntil28(s35)
    | node26(s35)
    | ~ until27(s35) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_27977,plain,
    ( always25(s35)
    | ~ node26(s35) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_27979,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s35)
      | ~ trans(s35,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_27990,plain,
    ( always25(s35)
    | ~ always25(s34)
    | ~ trans(s34,s35) ),
    inference(instantiation,[status(thm)],[c_27964]) ).

tcf(c_27996,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28000,plain,
    ( until27(s36)
    | ~ xuntil28(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_27996]) ).

tcf(c_28001,plain,
    ( xuntil28(s36)
    | node26(s36)
    | ~ until27(s36) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28003,plain,
    ( m_main_v_state2(s36,c_t2)
    | ~ node26(s36) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_28006,plain,
    ( ~ always25(s36)
    | ~ m_main_v_state2(s36,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_28016,plain,
    ( always25(s36)
    | ~ always25(s35)
    | ~ trans(s35,s36) ),
    inference(instantiation,[status(thm)],[c_27979]) ).

tcf(c_28026,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28030,plain,
    ( until27(s37)
    | ~ xuntil28(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_28026]) ).

tcf(c_28031,plain,
    ( xuntil28(s37)
    | node26(s37)
    | ~ until27(s37) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28033,plain,
    ( m_main_v_state2(s37,c_t2)
    | ~ node26(s37) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_28039,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28043,plain,
    ( until27(s38)
    | ~ xuntil28(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_28039]) ).

tcf(c_28044,plain,
    ( xuntil28(s38)
    | node26(s38)
    | ~ until27(s38) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28045,plain,
    ( always25(s38)
    | ~ node26(s38) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28047,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s38)
      | ~ trans(s38,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28055,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28059,plain,
    ( until27(s39)
    | ~ xuntil28(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_28055]) ).

tcf(c_28060,plain,
    ( xuntil28(s39)
    | node26(s39)
    | ~ until27(s39) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28061,plain,
    ( always25(s39)
    | ~ node26(s39) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28063,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s39)
      | ~ trans(s39,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28074,plain,
    ( always25(s39)
    | ~ always25(s38)
    | ~ trans(s38,s39) ),
    inference(instantiation,[status(thm)],[c_28047]) ).

tcf(c_28080,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28084,plain,
    ( until27(s40)
    | ~ xuntil28(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_28080]) ).

tcf(c_28085,plain,
    ( xuntil28(s40)
    | node26(s40)
    | ~ until27(s40) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28087,plain,
    ( m_main_v_state2(s40,c_t2)
    | ~ node26(s40) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_28090,plain,
    ( ~ always25(s40)
    | ~ m_main_v_state2(s40,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_28100,plain,
    ( always25(s40)
    | ~ always25(s39)
    | ~ trans(s39,s40) ),
    inference(instantiation,[status(thm)],[c_28063]) ).

tcf(c_28110,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28114,plain,
    ( until27(s41)
    | ~ xuntil28(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_28110]) ).

tcf(c_28115,plain,
    ( xuntil28(s41)
    | node26(s41)
    | ~ until27(s41) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28117,plain,
    ( m_main_v_state2(s41,c_t2)
    | ~ node26(s41) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_28123,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28127,plain,
    ( until27(s42)
    | ~ xuntil28(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_28123]) ).

tcf(c_28128,plain,
    ( xuntil28(s42)
    | node26(s42)
    | ~ until27(s42) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28129,plain,
    ( always25(s42)
    | ~ node26(s42) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28131,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s42)
      | ~ trans(s42,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28138,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28142,plain,
    ( until27(s43)
    | ~ xuntil28(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_28138]) ).

tcf(c_28143,plain,
    ( xuntil28(s43)
    | node26(s43)
    | ~ until27(s43) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28144,plain,
    ( always25(s43)
    | ~ node26(s43) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28146,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s43)
      | ~ trans(s43,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28158,plain,
    ( always25(s43)
    | ~ always25(s42)
    | ~ trans(s42,s43) ),
    inference(instantiation,[status(thm)],[c_28131]) ).

tcf(c_28164,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28168,plain,
    ( until27(s44)
    | ~ xuntil28(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_28164]) ).

tcf(c_28169,plain,
    ( xuntil28(s44)
    | node26(s44)
    | ~ until27(s44) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28171,plain,
    ( m_main_v_state2(s44,c_t2)
    | ~ node26(s44) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_28174,plain,
    ( ~ always25(s44)
    | ~ m_main_v_state2(s44,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_28184,plain,
    ( always25(s44)
    | ~ always25(s43)
    | ~ trans(s43,s44) ),
    inference(instantiation,[status(thm)],[c_28146]) ).

tcf(c_28194,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28198,plain,
    ( until27(s45)
    | ~ xuntil28(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_28194]) ).

tcf(c_28199,plain,
    ( xuntil28(s45)
    | node26(s45)
    | ~ until27(s45) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28201,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28205,plain,
    ( until27(s46)
    | ~ xuntil28(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_28201]) ).

tcf(c_28206,plain,
    ( xuntil28(s46)
    | node26(s46)
    | ~ until27(s46) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28208,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28212,plain,
    ( until27(s47)
    | ~ xuntil28(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_28208]) ).

tcf(c_28213,plain,
    ( xuntil28(s47)
    | node26(s47)
    | ~ until27(s47) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28215,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28219,plain,
    ( until27(s48)
    | ~ xuntil28(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_28215]) ).

tcf(c_28220,plain,
    ( xuntil28(s48)
    | node26(s48)
    | ~ until27(s48) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28222,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28226,plain,
    ( until27(s49)
    | ~ xuntil28(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_28222]) ).

tcf(c_28227,plain,
    ( xuntil28(s49)
    | node26(s49)
    | ~ until27(s49) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28229,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28233,plain,
    ( until27(s50)
    | ~ xuntil28(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_28229]) ).

tcf(c_28234,plain,
    ( xuntil28(s50)
    | node26(s50)
    | ~ until27(s50) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28236,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28240,plain,
    ( until27(s51)
    | ~ xuntil28(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_28236]) ).

tcf(c_28241,plain,
    ( xuntil28(s51)
    | node26(s51)
    | ~ until27(s51) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28243,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28247,plain,
    ( until27(s52)
    | ~ xuntil28(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_28243]) ).

tcf(c_28248,plain,
    ( xuntil28(s52)
    | node26(s52)
    | ~ until27(s52) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28250,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28254,plain,
    ( until27(s53)
    | ~ xuntil28(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_28250]) ).

tcf(c_28255,plain,
    ( xuntil28(s53)
    | node26(s53)
    | ~ until27(s53) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28257,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28261,plain,
    ( until27(s54)
    | ~ xuntil28(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_28257]) ).

tcf(c_28262,plain,
    ( xuntil28(s54)
    | node26(s54)
    | ~ until27(s54) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28264,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28268,plain,
    ( until27(s55)
    | ~ xuntil28(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_28264]) ).

tcf(c_28269,plain,
    ( xuntil28(s55)
    | node26(s55)
    | ~ until27(s55) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28271,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28275,plain,
    ( until27(s56)
    | ~ xuntil28(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_28271]) ).

tcf(c_28276,plain,
    ( xuntil28(s56)
    | node26(s56)
    | ~ until27(s56) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28278,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28282,plain,
    ( until27(s57)
    | ~ xuntil28(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_28278]) ).

tcf(c_28283,plain,
    ( xuntil28(s57)
    | node26(s57)
    | ~ until27(s57) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28285,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28289,plain,
    ( until27(s58)
    | ~ xuntil28(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_28285]) ).

tcf(c_28290,plain,
    ( xuntil28(s58)
    | node26(s58)
    | ~ until27(s58) ),
    inference(instantiation,[status(thm)],[c_321]) ).

tcf(c_28292,plain,
    ! [X0: $i] :
      ( until27(X0)
      | ~ xuntil28(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_322]) ).

tcf(c_28294,plain,
    ( until27(s59)
    | ~ xuntil28(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_28292]) ).

tcf(c_28296,plain,
    ( always25(s46)
    | ~ node26(s46) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28298,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s46)
      | ~ trans(s46,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28304,plain,
    ( always25(s47)
    | ~ always25(s46)
    | ~ trans(s46,s47) ),
    inference(instantiation,[status(thm)],[c_28298]) ).

tcf(c_28305,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s47)
      | ~ trans(s47,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28309,plain,
    ( always25(s48)
    | ~ always25(s47)
    | ~ trans(s47,s48) ),
    inference(instantiation,[status(thm)],[c_28305]) ).

tcf(c_28312,plain,
    ( ~ always25(s48)
    | ~ m_main_v_state2(s48,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_28318,plain,
    ( always25(s47)
    | ~ node26(s47) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28332,plain,
    ( always25(s50)
    | ~ node26(s50) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28334,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s50)
      | ~ trans(s50,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28340,plain,
    ( always25(s51)
    | ~ always25(s50)
    | ~ trans(s50,s51) ),
    inference(instantiation,[status(thm)],[c_28334]) ).

tcf(c_28341,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s51)
      | ~ trans(s51,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28345,plain,
    ( always25(s52)
    | ~ always25(s51)
    | ~ trans(s51,s52) ),
    inference(instantiation,[status(thm)],[c_28341]) ).

tcf(c_28348,plain,
    ( ~ always25(s52)
    | ~ m_main_v_state2(s52,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_28354,plain,
    ( always25(s51)
    | ~ node26(s51) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28368,plain,
    ( always25(s54)
    | ~ node26(s54) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28370,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s54)
      | ~ trans(s54,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28376,plain,
    ( always25(s55)
    | ~ always25(s54)
    | ~ trans(s54,s55) ),
    inference(instantiation,[status(thm)],[c_28370]) ).

tcf(c_28377,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s55)
      | ~ trans(s55,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28381,plain,
    ( always25(s56)
    | ~ always25(s55)
    | ~ trans(s55,s56) ),
    inference(instantiation,[status(thm)],[c_28377]) ).

tcf(c_28384,plain,
    ( ~ always25(s56)
    | ~ m_main_v_state2(s56,c_c2) ),
    inference(instantiation,[status(thm)],[c_316]) ).

tcf(c_28390,plain,
    ( always25(s55)
    | ~ node26(s55) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28404,plain,
    ( always25(s58)
    | ~ node26(s58) ),
    inference(instantiation,[status(thm)],[c_320]) ).

tcf(c_28406,plain,
    ! [X0: $i] :
      ( always25(X0)
      | ~ always25(s58)
      | ~ trans(s58,X0) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28409,plain,
    ( always25(s59)
    | ~ always25(s58)
    | ~ trans(s58,s59) ),
    inference(instantiation,[status(thm)],[c_28406]) ).

tcf(c_28537,plain,
    ( node14(s59,s2)
    | ~ trans(s59,s2) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28540,plain,
    ( always25(s4)
    | ~ always25(s59)
    | ~ trans(s59,s4) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28553,plain,
    ( node14(s59,s5)
    | ~ trans(s59,s5) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28557,plain,
    ( node14(s59,s6)
    | ~ trans(s59,s6) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28561,plain,
    ( node14(s59,s9)
    | ~ trans(s59,s9) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28565,plain,
    ( node14(s59,s10)
    | ~ trans(s59,s10) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28569,plain,
    ( node14(s59,s11)
    | ~ trans(s59,s11) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28573,plain,
    ( node14(s59,s13)
    | ~ trans(s59,s13) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28577,plain,
    ( node14(s59,s14)
    | ~ trans(s59,s14) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28581,plain,
    ( node14(s59,s15)
    | ~ trans(s59,s15) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28585,plain,
    ( node14(s59,s17)
    | ~ trans(s59,s17) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28590,plain,
    ( node7(s59,s18)
    | ~ trans(s59,s18) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_28591,plain,
    ( always25(s20)
    | ~ always25(s59)
    | ~ trans(s59,s20) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28598,plain,
    ( node7(s59,s0)
    | ~ trans(s59,s0) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_28601,plain,
    ( node14(s59,s1)
    | ~ trans(s59,s1) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28604,plain,
    ( node18(s59,s3)
    | ~ trans(s59,s3) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28609,plain,
    ( node14(s59,s7)
    | ~ trans(s59,s7) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28611,plain,
    ( always25(s8)
    | ~ always25(s59)
    | ~ trans(s59,s8) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28615,plain,
    ( always25(s12)
    | ~ always25(s59)
    | ~ trans(s59,s12) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28619,plain,
    ( always25(s16)
    | ~ always25(s59)
    | ~ trans(s59,s16) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28625,plain,
    ( node14(s59,s19)
    | ~ trans(s59,s19) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28628,plain,
    ( node18(s59,s22)
    | ~ trans(s59,s22) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28633,plain,
    ( node14(s59,s23)
    | ~ trans(s59,s23) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28635,plain,
    ( always25(s24)
    | ~ always25(s59)
    | ~ trans(s59,s24) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28642,plain,
    ( node7(s59,s26)
    | ~ trans(s59,s26) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_28643,plain,
    ( always25(s28)
    | ~ always25(s59)
    | ~ trans(s59,s28) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28648,plain,
    ( node18(s59,s30)
    | ~ trans(s59,s30) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28653,plain,
    ( node14(s59,s21)
    | ~ trans(s59,s21) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28657,plain,
    ( node14(s59,s25)
    | ~ trans(s59,s25) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28661,plain,
    ( node14(s59,s27)
    | ~ trans(s59,s27) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28665,plain,
    ( node14(s59,s29)
    | ~ trans(s59,s29) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28670,plain,
    ( node7(s59,s31)
    | ~ trans(s59,s31) ),
    inference(instantiation,[status(thm)],[c_284]) ).

tcf(c_28671,plain,
    ( always25(s32)
    | ~ always25(s59)
    | ~ trans(s59,s32) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28677,plain,
    ( node14(s59,s34)
    | ~ trans(s59,s34) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28681,plain,
    ( node14(s59,s35)
    | ~ trans(s59,s35) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28685,plain,
    ( node14(s59,s37)
    | ~ trans(s59,s37) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28688,plain,
    ( node18(s59,s39)
    | ~ trans(s59,s39) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28693,plain,
    ( node14(s59,s41)
    | ~ trans(s59,s41) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28696,plain,
    ( node18(s59,s43)
    | ~ trans(s59,s43) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28699,plain,
    ( always25(s44)
    | ~ always25(s59)
    | ~ trans(s59,s44) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28705,plain,
    ( node14(s59,s46)
    | ~ trans(s59,s46) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28708,plain,
    ( node18(s59,s47)
    | ~ trans(s59,s47) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28713,plain,
    ( node14(s59,s33)
    | ~ trans(s59,s33) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28715,plain,
    ( always25(s36)
    | ~ always25(s59)
    | ~ trans(s59,s36) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28721,plain,
    ( node14(s59,s38)
    | ~ trans(s59,s38) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28723,plain,
    ( always25(s40)
    | ~ always25(s59)
    | ~ trans(s59,s40) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28728,plain,
    ( node18(s59,s42)
    | ~ trans(s59,s42) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28733,plain,
    ( node14(s59,s45)
    | ~ trans(s59,s45) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28737,plain,
    ( node14(s59,s49)
    | ~ trans(s59,s49) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28741,plain,
    ( node14(s59,s50)
    | ~ trans(s59,s50) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28744,plain,
    ( node18(s59,s51)
    | ~ trans(s59,s51) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28747,plain,
    ( always25(s52)
    | ~ always25(s59)
    | ~ trans(s59,s52) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28753,plain,
    ( node14(s59,s53)
    | ~ trans(s59,s53) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28756,plain,
    ( node18(s59,s55)
    | ~ trans(s59,s55) ),
    inference(instantiation,[status(thm)],[c_315]) ).

tcf(c_28759,plain,
    ( always25(s56)
    | ~ always25(s59)
    | ~ trans(s59,s56) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28765,plain,
    ( node14(s59,s58)
    | ~ trans(s59,s58) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28769,plain,
    ( node14(s59,s57)
    | ~ trans(s59,s57) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28771,plain,
    ( always25(s48)
    | ~ always25(s59)
    | ~ trans(s59,s48) ),
    inference(instantiation,[status(thm)],[c_317]) ).

tcf(c_28777,plain,
    ( node14(s59,s54)
    | ~ trans(s59,s54) ),
    inference(instantiation,[status(thm)],[c_305]) ).

tcf(c_28789,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s25,c_c2)
    | ~ node14(s59,s25)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_28860,plain,
    ( until2p29(s20)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s20) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_29273,plain,
    ( xuntil2p30(s20)
    | node26(s20)
    | ~ until2p29(s20) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29288,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s20)
      | ~ succ(s20,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29302,plain,
    ( until2p29(s21)
    | ~ xuntil2p30(s20)
    | ~ succ(s20,s21) ),
    inference(instantiation,[status(thm)],[c_29288]) ).

tcf(c_29509,plain,
    ( xuntil2p30(s21)
    | node26(s21)
    | ~ until2p29(s21) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29510,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s21)
      | ~ succ(s21,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29513,plain,
    ( until2p29(s22)
    | ~ xuntil2p30(s21)
    | ~ succ(s21,s22) ),
    inference(instantiation,[status(thm)],[c_29510]) ).

tcf(c_29514,plain,
    ( xuntil2p30(s22)
    | node26(s22)
    | ~ until2p29(s22) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29515,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s22)
      | ~ succ(s22,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29518,plain,
    ( until2p29(s23)
    | ~ xuntil2p30(s22)
    | ~ succ(s22,s23) ),
    inference(instantiation,[status(thm)],[c_29515]) ).

tcf(c_29519,plain,
    ( xuntil2p30(s23)
    | node26(s23)
    | ~ until2p29(s23) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29520,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s23)
      | ~ succ(s23,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29523,plain,
    ( until2p29(s24)
    | ~ xuntil2p30(s23)
    | ~ succ(s23,s24) ),
    inference(instantiation,[status(thm)],[c_29520]) ).

tcf(c_29524,plain,
    ( xuntil2p30(s24)
    | node26(s24)
    | ~ until2p29(s24) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29525,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s24)
      | ~ succ(s24,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29528,plain,
    ( until2p29(s25)
    | ~ xuntil2p30(s24)
    | ~ succ(s24,s25) ),
    inference(instantiation,[status(thm)],[c_29525]) ).

tcf(c_29529,plain,
    ( xuntil2p30(s25)
    | node26(s25)
    | ~ until2p29(s25) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29530,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s25)
      | ~ succ(s25,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29533,plain,
    ( until2p29(s26)
    | ~ xuntil2p30(s25)
    | ~ succ(s25,s26) ),
    inference(instantiation,[status(thm)],[c_29530]) ).

tcf(c_29534,plain,
    ( xuntil2p30(s26)
    | node26(s26)
    | ~ until2p29(s26) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29535,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s26)
      | ~ succ(s26,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29538,plain,
    ( until2p29(s27)
    | ~ xuntil2p30(s26)
    | ~ succ(s26,s27) ),
    inference(instantiation,[status(thm)],[c_29535]) ).

tcf(c_29539,plain,
    ( xuntil2p30(s27)
    | node26(s27)
    | ~ until2p29(s27) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29540,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s27)
      | ~ succ(s27,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29543,plain,
    ( until2p29(s28)
    | ~ xuntil2p30(s27)
    | ~ succ(s27,s28) ),
    inference(instantiation,[status(thm)],[c_29540]) ).

tcf(c_29544,plain,
    ( xuntil2p30(s28)
    | node26(s28)
    | ~ until2p29(s28) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29545,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s28)
      | ~ succ(s28,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29548,plain,
    ( until2p29(s29)
    | ~ xuntil2p30(s28)
    | ~ succ(s28,s29) ),
    inference(instantiation,[status(thm)],[c_29545]) ).

tcf(c_29549,plain,
    ( xuntil2p30(s29)
    | node26(s29)
    | ~ until2p29(s29) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29550,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s29)
      | ~ succ(s29,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29553,plain,
    ( until2p29(s30)
    | ~ xuntil2p30(s29)
    | ~ succ(s29,s30) ),
    inference(instantiation,[status(thm)],[c_29550]) ).

tcf(c_29554,plain,
    ( xuntil2p30(s30)
    | node26(s30)
    | ~ until2p29(s30) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29555,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s30)
      | ~ succ(s30,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29558,plain,
    ( until2p29(s31)
    | ~ xuntil2p30(s30)
    | ~ succ(s30,s31) ),
    inference(instantiation,[status(thm)],[c_29555]) ).

tcf(c_29559,plain,
    ( xuntil2p30(s31)
    | node26(s31)
    | ~ until2p29(s31) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29560,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s31)
      | ~ succ(s31,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29563,plain,
    ( until2p29(s32)
    | ~ xuntil2p30(s31)
    | ~ succ(s31,s32) ),
    inference(instantiation,[status(thm)],[c_29560]) ).

tcf(c_29564,plain,
    ( xuntil2p30(s32)
    | node26(s32)
    | ~ until2p29(s32) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29565,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s32)
      | ~ succ(s32,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29568,plain,
    ( until2p29(s33)
    | ~ xuntil2p30(s32)
    | ~ succ(s32,s33) ),
    inference(instantiation,[status(thm)],[c_29565]) ).

tcf(c_29569,plain,
    ( xuntil2p30(s33)
    | node26(s33)
    | ~ until2p29(s33) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29570,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s33)
      | ~ succ(s33,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29573,plain,
    ( until2p29(s34)
    | ~ xuntil2p30(s33)
    | ~ succ(s33,s34) ),
    inference(instantiation,[status(thm)],[c_29570]) ).

tcf(c_29574,plain,
    ( xuntil2p30(s34)
    | node26(s34)
    | ~ until2p29(s34) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29575,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s34)
      | ~ succ(s34,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29578,plain,
    ( until2p29(s35)
    | ~ xuntil2p30(s34)
    | ~ succ(s34,s35) ),
    inference(instantiation,[status(thm)],[c_29575]) ).

tcf(c_29579,plain,
    ( xuntil2p30(s35)
    | node26(s35)
    | ~ until2p29(s35) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29580,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s35)
      | ~ succ(s35,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29583,plain,
    ( until2p29(s36)
    | ~ xuntil2p30(s35)
    | ~ succ(s35,s36) ),
    inference(instantiation,[status(thm)],[c_29580]) ).

tcf(c_29584,plain,
    ( xuntil2p30(s36)
    | node26(s36)
    | ~ until2p29(s36) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29585,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s36)
      | ~ succ(s36,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29588,plain,
    ( until2p29(s37)
    | ~ xuntil2p30(s36)
    | ~ succ(s36,s37) ),
    inference(instantiation,[status(thm)],[c_29585]) ).

tcf(c_29589,plain,
    ( xuntil2p30(s37)
    | node26(s37)
    | ~ until2p29(s37) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29590,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s37)
      | ~ succ(s37,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29593,plain,
    ( until2p29(s38)
    | ~ xuntil2p30(s37)
    | ~ succ(s37,s38) ),
    inference(instantiation,[status(thm)],[c_29590]) ).

tcf(c_29594,plain,
    ( xuntil2p30(s38)
    | node26(s38)
    | ~ until2p29(s38) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29595,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s38)
      | ~ succ(s38,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29598,plain,
    ( until2p29(s39)
    | ~ xuntil2p30(s38)
    | ~ succ(s38,s39) ),
    inference(instantiation,[status(thm)],[c_29595]) ).

tcf(c_29599,plain,
    ( xuntil2p30(s39)
    | node26(s39)
    | ~ until2p29(s39) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29600,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s39)
      | ~ succ(s39,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29603,plain,
    ( until2p29(s40)
    | ~ xuntil2p30(s39)
    | ~ succ(s39,s40) ),
    inference(instantiation,[status(thm)],[c_29600]) ).

tcf(c_29604,plain,
    ( xuntil2p30(s40)
    | node26(s40)
    | ~ until2p29(s40) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29605,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s40)
      | ~ succ(s40,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29608,plain,
    ( until2p29(s41)
    | ~ xuntil2p30(s40)
    | ~ succ(s40,s41) ),
    inference(instantiation,[status(thm)],[c_29605]) ).

tcf(c_29609,plain,
    ( xuntil2p30(s41)
    | node26(s41)
    | ~ until2p29(s41) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29610,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s41)
      | ~ succ(s41,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29613,plain,
    ( until2p29(s42)
    | ~ xuntil2p30(s41)
    | ~ succ(s41,s42) ),
    inference(instantiation,[status(thm)],[c_29610]) ).

tcf(c_29614,plain,
    ( xuntil2p30(s42)
    | node26(s42)
    | ~ until2p29(s42) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29615,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s42)
      | ~ succ(s42,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29618,plain,
    ( until2p29(s43)
    | ~ xuntil2p30(s42)
    | ~ succ(s42,s43) ),
    inference(instantiation,[status(thm)],[c_29615]) ).

tcf(c_29619,plain,
    ( xuntil2p30(s43)
    | node26(s43)
    | ~ until2p29(s43) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29620,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s43)
      | ~ succ(s43,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29623,plain,
    ( until2p29(s44)
    | ~ xuntil2p30(s43)
    | ~ succ(s43,s44) ),
    inference(instantiation,[status(thm)],[c_29620]) ).

tcf(c_29624,plain,
    ( xuntil2p30(s44)
    | node26(s44)
    | ~ until2p29(s44) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29625,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s44)
      | ~ succ(s44,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29628,plain,
    ( until2p29(s45)
    | ~ xuntil2p30(s44)
    | ~ succ(s44,s45) ),
    inference(instantiation,[status(thm)],[c_29625]) ).

tcf(c_29629,plain,
    ( xuntil2p30(s45)
    | node26(s45)
    | ~ until2p29(s45) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29630,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s45)
      | ~ succ(s45,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29633,plain,
    ( until2p29(s46)
    | ~ xuntil2p30(s45)
    | ~ succ(s45,s46) ),
    inference(instantiation,[status(thm)],[c_29630]) ).

tcf(c_29634,plain,
    ( xuntil2p30(s46)
    | node26(s46)
    | ~ until2p29(s46) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29635,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s46)
      | ~ succ(s46,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29638,plain,
    ( until2p29(s47)
    | ~ xuntil2p30(s46)
    | ~ succ(s46,s47) ),
    inference(instantiation,[status(thm)],[c_29635]) ).

tcf(c_29639,plain,
    ( xuntil2p30(s47)
    | node26(s47)
    | ~ until2p29(s47) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29640,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s47)
      | ~ succ(s47,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29643,plain,
    ( until2p29(s48)
    | ~ xuntil2p30(s47)
    | ~ succ(s47,s48) ),
    inference(instantiation,[status(thm)],[c_29640]) ).

tcf(c_29644,plain,
    ( xuntil2p30(s48)
    | node26(s48)
    | ~ until2p29(s48) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29645,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s48)
      | ~ succ(s48,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29648,plain,
    ( until2p29(s49)
    | ~ xuntil2p30(s48)
    | ~ succ(s48,s49) ),
    inference(instantiation,[status(thm)],[c_29645]) ).

tcf(c_29649,plain,
    ( xuntil2p30(s49)
    | node26(s49)
    | ~ until2p29(s49) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29650,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s49)
      | ~ succ(s49,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29653,plain,
    ( until2p29(s50)
    | ~ xuntil2p30(s49)
    | ~ succ(s49,s50) ),
    inference(instantiation,[status(thm)],[c_29650]) ).

tcf(c_29654,plain,
    ( xuntil2p30(s50)
    | node26(s50)
    | ~ until2p29(s50) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29655,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s50)
      | ~ succ(s50,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29658,plain,
    ( until2p29(s51)
    | ~ xuntil2p30(s50)
    | ~ succ(s50,s51) ),
    inference(instantiation,[status(thm)],[c_29655]) ).

tcf(c_29659,plain,
    ( xuntil2p30(s51)
    | node26(s51)
    | ~ until2p29(s51) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29660,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s51)
      | ~ succ(s51,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29663,plain,
    ( until2p29(s52)
    | ~ xuntil2p30(s51)
    | ~ succ(s51,s52) ),
    inference(instantiation,[status(thm)],[c_29660]) ).

tcf(c_29664,plain,
    ( xuntil2p30(s52)
    | node26(s52)
    | ~ until2p29(s52) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29665,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s52)
      | ~ succ(s52,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29668,plain,
    ( until2p29(s53)
    | ~ xuntil2p30(s52)
    | ~ succ(s52,s53) ),
    inference(instantiation,[status(thm)],[c_29665]) ).

tcf(c_29669,plain,
    ( xuntil2p30(s53)
    | node26(s53)
    | ~ until2p29(s53) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29670,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s53)
      | ~ succ(s53,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29673,plain,
    ( until2p29(s54)
    | ~ xuntil2p30(s53)
    | ~ succ(s53,s54) ),
    inference(instantiation,[status(thm)],[c_29670]) ).

tcf(c_29674,plain,
    ( xuntil2p30(s54)
    | node26(s54)
    | ~ until2p29(s54) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29675,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s54)
      | ~ succ(s54,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29678,plain,
    ( until2p29(s55)
    | ~ xuntil2p30(s54)
    | ~ succ(s54,s55) ),
    inference(instantiation,[status(thm)],[c_29675]) ).

tcf(c_29679,plain,
    ( xuntil2p30(s55)
    | node26(s55)
    | ~ until2p29(s55) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29680,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s55)
      | ~ succ(s55,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29683,plain,
    ( until2p29(s56)
    | ~ xuntil2p30(s55)
    | ~ succ(s55,s56) ),
    inference(instantiation,[status(thm)],[c_29680]) ).

tcf(c_29684,plain,
    ( xuntil2p30(s56)
    | node26(s56)
    | ~ until2p29(s56) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29685,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s56)
      | ~ succ(s56,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29688,plain,
    ( until2p29(s57)
    | ~ xuntil2p30(s56)
    | ~ succ(s56,s57) ),
    inference(instantiation,[status(thm)],[c_29685]) ).

tcf(c_29689,plain,
    ( xuntil2p30(s57)
    | node26(s57)
    | ~ until2p29(s57) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29690,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s57)
      | ~ succ(s57,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29693,plain,
    ( until2p29(s58)
    | ~ xuntil2p30(s57)
    | ~ succ(s57,s58) ),
    inference(instantiation,[status(thm)],[c_29690]) ).

tcf(c_29694,plain,
    ( xuntil2p30(s58)
    | node26(s58)
    | ~ until2p29(s58) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29695,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s58)
      | ~ succ(s58,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_29697,plain,
    ( until2p29(s59)
    | ~ xuntil2p30(s58)
    | ~ succ(s58,s59) ),
    inference(instantiation,[status(thm)],[c_29695]) ).

tcf(c_29698,plain,
    ( until2p29(s28)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s28) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_29730,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s33,c_c2)
    | ~ node14(s59,s33)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_29763,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s9,c_c2)
    | ~ node14(s59,s9)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_29781,plain,
    ( xuntil2p30(s9)
    | node26(s9)
    | ~ until2p29(s9) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_29785,plain,
    ( until2p29(s52)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s52) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_29831,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s21,c_c2)
    | ~ node14(s59,s21)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_29849,plain,
    ( until2p29(s56)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s56) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_29876,plain,
    ( until2p29(s24)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s24) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_29920,plain,
    ( until2p29(s48)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s48) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_29968,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s41,c_c2)
    | ~ node14(s59,s41)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_29996,plain,
    ( node10(s59)
    | node9(s59)
    | node8(s59)
    | m_main_v_state2(s53,c_c2)
    | ~ node14(s59,s53)
    | ~ m_main_v_state2(s59,c_t2)
    | ~ m_main_v_state1(s59,c_n1) ),
    inference(instantiation,[status(thm)],[c_301]) ).

tcf(c_30014,plain,
    ( until2p29(s4)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s4) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30042,plain,
    ( xuntil2p30(s4)
    | node26(s4)
    | ~ until2p29(s4) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30051,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s4)
      | ~ succ(s4,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30054,plain,
    ( until2p29(s5)
    | ~ xuntil2p30(s4)
    | ~ succ(s4,s5) ),
    inference(instantiation,[status(thm)],[c_30051]) ).

tcf(c_30055,plain,
    ( xuntil2p30(s5)
    | node26(s5)
    | ~ until2p29(s5) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30056,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s5)
      | ~ succ(s5,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30059,plain,
    ( until2p29(s6)
    | ~ xuntil2p30(s5)
    | ~ succ(s5,s6) ),
    inference(instantiation,[status(thm)],[c_30056]) ).

tcf(c_30060,plain,
    ( xuntil2p30(s6)
    | node26(s6)
    | ~ until2p29(s6) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30061,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s6)
      | ~ succ(s6,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30064,plain,
    ( until2p29(s7)
    | ~ xuntil2p30(s6)
    | ~ succ(s6,s7) ),
    inference(instantiation,[status(thm)],[c_30061]) ).

tcf(c_30065,plain,
    ( xuntil2p30(s7)
    | node26(s7)
    | ~ until2p29(s7) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30066,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s7)
      | ~ succ(s7,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30069,plain,
    ( until2p29(s8)
    | ~ xuntil2p30(s7)
    | ~ succ(s7,s8) ),
    inference(instantiation,[status(thm)],[c_30066]) ).

tcf(c_30070,plain,
    ( xuntil2p30(s8)
    | node26(s8)
    | ~ until2p29(s8) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30071,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s8)
      | ~ succ(s8,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30074,plain,
    ( until2p29(s9)
    | ~ xuntil2p30(s8)
    | ~ succ(s8,s9) ),
    inference(instantiation,[status(thm)],[c_30071]) ).

tcf(c_30076,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s9)
      | ~ succ(s9,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30079,plain,
    ( until2p29(s10)
    | ~ xuntil2p30(s9)
    | ~ succ(s9,s10) ),
    inference(instantiation,[status(thm)],[c_30076]) ).

tcf(c_30080,plain,
    ( xuntil2p30(s10)
    | node26(s10)
    | ~ until2p29(s10) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30081,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s10)
      | ~ succ(s10,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30084,plain,
    ( until2p29(s11)
    | ~ xuntil2p30(s10)
    | ~ succ(s10,s11) ),
    inference(instantiation,[status(thm)],[c_30081]) ).

tcf(c_30085,plain,
    ( xuntil2p30(s11)
    | node26(s11)
    | ~ until2p29(s11) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30086,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s11)
      | ~ succ(s11,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30089,plain,
    ( until2p29(s12)
    | ~ xuntil2p30(s11)
    | ~ succ(s11,s12) ),
    inference(instantiation,[status(thm)],[c_30086]) ).

tcf(c_30090,plain,
    ( xuntil2p30(s12)
    | node26(s12)
    | ~ until2p29(s12) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30091,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s12)
      | ~ succ(s12,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30094,plain,
    ( until2p29(s13)
    | ~ xuntil2p30(s12)
    | ~ succ(s12,s13) ),
    inference(instantiation,[status(thm)],[c_30091]) ).

tcf(c_30095,plain,
    ( xuntil2p30(s13)
    | node26(s13)
    | ~ until2p29(s13) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30096,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s13)
      | ~ succ(s13,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30099,plain,
    ( until2p29(s14)
    | ~ xuntil2p30(s13)
    | ~ succ(s13,s14) ),
    inference(instantiation,[status(thm)],[c_30096]) ).

tcf(c_30100,plain,
    ( xuntil2p30(s14)
    | node26(s14)
    | ~ until2p29(s14) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30101,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s14)
      | ~ succ(s14,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30104,plain,
    ( until2p29(s15)
    | ~ xuntil2p30(s14)
    | ~ succ(s14,s15) ),
    inference(instantiation,[status(thm)],[c_30101]) ).

tcf(c_30105,plain,
    ( xuntil2p30(s15)
    | node26(s15)
    | ~ until2p29(s15) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30106,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s15)
      | ~ succ(s15,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30109,plain,
    ( until2p29(s16)
    | ~ xuntil2p30(s15)
    | ~ succ(s15,s16) ),
    inference(instantiation,[status(thm)],[c_30106]) ).

tcf(c_30110,plain,
    ( xuntil2p30(s16)
    | node26(s16)
    | ~ until2p29(s16) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30111,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s16)
      | ~ succ(s16,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30114,plain,
    ( until2p29(s17)
    | ~ xuntil2p30(s16)
    | ~ succ(s16,s17) ),
    inference(instantiation,[status(thm)],[c_30111]) ).

tcf(c_30115,plain,
    ( xuntil2p30(s17)
    | node26(s17)
    | ~ until2p29(s17) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30116,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s17)
      | ~ succ(s17,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30119,plain,
    ( until2p29(s18)
    | ~ xuntil2p30(s17)
    | ~ succ(s17,s18) ),
    inference(instantiation,[status(thm)],[c_30116]) ).

tcf(c_30120,plain,
    ( xuntil2p30(s18)
    | node26(s18)
    | ~ until2p29(s18) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30121,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s18)
      | ~ succ(s18,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30124,plain,
    ( until2p29(s19)
    | ~ xuntil2p30(s18)
    | ~ succ(s18,s19) ),
    inference(instantiation,[status(thm)],[c_30121]) ).

tcf(c_30125,plain,
    ( xuntil2p30(s19)
    | node26(s19)
    | ~ until2p29(s19) ),
    inference(instantiation,[status(thm)],[c_325]) ).

tcf(c_30126,plain,
    ! [X0: $i] :
      ( until2p29(X0)
      | ~ xuntil2p30(s19)
      | ~ succ(s19,X0) ),
    inference(instantiation,[status(thm)],[c_326]) ).

tcf(c_30129,plain,
    ( until2p29(s20)
    | ~ xuntil2p30(s19)
    | ~ succ(s19,s20) ),
    inference(instantiation,[status(thm)],[c_30126]) ).

tcf(c_30130,plain,
    ( until2p29(s8)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s8) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30152,plain,
    ( until2p29(s44)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s44) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30184,plain,
    ( until2p29(s12)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s12) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30218,plain,
    ( until2p29(s40)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s40) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30259,plain,
    ( until2p29(s16)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s16) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30287,plain,
    ( until2p29(s36)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s36) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30320,plain,
    ( until2p29(s32)
    | ~ xuntil28(s59)
    | ~ last(s59)
    | ~ trans(s59,s32) ),
    inference(instantiation,[status(thm)],[c_324]) ).

tcf(c_30325,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_30320,c_30287,c_30259,c_30218,c_30184,c_30152,c_30130,c_30129,c_30125,c_30124,c_30120,c_30119,c_30115,c_30114,c_30110,c_30109,c_30105,c_30104,c_30100,c_30099,c_30095,c_30094,c_30090,c_30089,c_30085,c_30084,c_30080,c_30079,c_30074,c_30070,c_30069,c_30065,c_30064,c_30060,c_30059,c_30055,c_30054,c_30042,c_30014,c_29996,c_29968,c_29920,c_29876,c_29849,c_29831,c_29785,c_29781,c_29763,c_29730,c_29698,c_29697,c_29694,c_29693,c_29689,c_29688,c_29684,c_29683,c_29679,c_29678,c_29674,c_29673,c_29669,c_29668,c_29664,c_29663,c_29659,c_29658,c_29654,c_29653,c_29649,c_29648,c_29644,c_29643,c_29639,c_29638,c_29634,c_29633,c_29629,c_29628,c_29624,c_29623,c_29619,c_29618,c_29614,c_29613,c_29609,c_29608,c_29604,c_29603,c_29599,c_29598,c_29594,c_29593,c_29589,c_29588,c_29584,c_29583,c_29579,c_29578,c_29574,c_29573,c_29569,c_29568,c_29564,c_29563,c_29559,c_29558,c_29554,c_29553,c_29549,c_29548,c_29544,c_29543,c_29539,c_29538,c_29534,c_29533,c_29529,c_29528,c_29524,c_29523,c_29519,c_29518,c_29514,c_29513,c_29509,c_29302,c_29273,c_28860,c_28789,c_28777,c_28771,c_28769,c_28765,c_28759,c_28756,c_28753,c_28747,c_28744,c_28741,c_28737,c_28733,c_28728,c_28723,c_28721,c_28715,c_28713,c_28708,c_28705,c_28699,c_28696,c_28693,c_28688,c_28685,c_28681,c_28677,c_28671,c_28670,c_28665,c_28661,c_28657,c_28653,c_28648,c_28643,c_28642,c_28635,c_28633,c_28628,c_28625,c_28619,c_28615,c_28611,c_28609,c_28604,c_28601,c_28598,c_28591,c_28590,c_28585,c_28581,c_28577,c_28573,c_28569,c_28565,c_28561,c_28557,c_28553,c_28540,c_28537,c_28409,c_28404,c_28390,c_28384,c_28381,c_28376,c_28368,c_28354,c_28348,c_28345,c_28340,c_28332,c_28318,c_28312,c_28309,c_28304,c_28296,c_28294,c_28290,c_28289,c_28283,c_28282,c_28276,c_28275,c_28269,c_28268,c_28262,c_28261,c_28255,c_28254,c_28248,c_28247,c_28241,c_28240,c_28234,c_28233,c_28227,c_28226,c_28220,c_28219,c_28213,c_28212,c_28206,c_28205,c_28199,c_28198,c_28184,c_28174,c_28171,c_28169,c_28168,c_28158,c_28144,c_28143,c_28142,c_28129,c_28128,c_28127,c_28117,c_28115,c_28114,c_28100,c_28090,c_28087,c_28085,c_28084,c_28074,c_28061,c_28060,c_28059,c_28045,c_28044,c_28043,c_28033,c_28031,c_28030,c_28016,c_28006,c_28003,c_28001,c_28000,c_27990,c_27977,c_27976,c_27975,c_27962,c_27961,c_27960,c_27950,c_27948,c_27947,c_27933,c_27923,c_27920,c_27918,c_27917,c_27907,c_27893,c_27892,c_27891,c_27877,c_27876,c_27875,c_27865,c_27863,c_27862,c_27848,c_27838,c_27835,c_27833,c_27832,c_27822,c_27808,c_27807,c_27806,c_27793,c_27792,c_27791,c_27781,c_27779,c_27778,c_27764,c_27754,c_27751,c_27749,c_27748,c_27738,c_27725,c_27724,c_27723,c_27709,c_27708,c_27707,c_27692,c_27686,c_27683,c_27678,c_27669,c_27655,c_27649,c_27646,c_27641,c_27632,c_27618,c_27612,c_27609,c_27604,c_27596,c_27582,c_27576,c_27573,c_27568,c_27560,c_27546,c_27540,c_27535,c_27533,c_27532,c_27526,c_27525,c_27519,c_27518,c_27512,c_27511,c_27505,c_27504,c_27498,c_27497,c_27491,c_27490,c_27484,c_27483,c_27477,c_27476,c_27470,c_27469,c_27463,c_27462,c_27456,c_27455,c_27449,c_27448,c_27442,c_27441,c_27435,c_27434,c_27428,c_27427,c_27421,c_27420,c_27414,c_27413,c_27407,c_27406,c_27400,c_27392,c_26794,c_26790,c_26347,c_26341,c_26332,c_26329,c_25966,c_25862,c_25165,c_24744,c_24017,c_23825,c_23570,c_23561,c_23386,c_23372,c_23369,c_23355,c_22669,c_22593,c_22121,c_21891,c_21876,c_21593,c_21467,c_21454,c_21423,c_21421,c_21412,c_21385,c_19565,c_19298,c_19295,c_19293,c_19146,c_19117,c_19115,c_19084,c_19065,c_19012,c_18929,c_18736,c_18475,c_18428,c_18253,c_18235,c_18185,c_18092,c_17940,c_17544,c_17410,c_17379,c_17375,c_17352,c_17348,c_17297,c_17293,c_17268,c_17264,c_17245,c_17209,c_17198,c_17170,c_17152,c_17148,c_17118,c_17114,c_17107,c_17027,c_16971,c_16938,c_16890,c_16855,c_16851,c_16831,c_16760,c_16756,c_16745,c_16731,c_16694,c_16654,c_16622,c_16618,c_16598,c_16566,c_16561,c_16557,c_16544,c_16529,c_16525,c_16517,c_16493,c_16485,c_16462,c_16454,c_16277,c_16221,c_16193,c_16165,c_15653,c_15629,c_15612,c_15471,c_15294,c_15258,c_15126,c_15076,c_15059,c_15024,c_14938,c_14882,c_14865,c_14859,c_14855,c_14701,c_14632,c_14278,c_14257,c_14255,c_14195,c_14097,c_13969,c_13959,c_13944,c_13892,c_13757,c_13747,c_13735,c_13632,c_13625,c_13332,c_13310,c_13274,c_13255,c_13249,c_13228,c_13203,c_13200,c_13140,c_13030,c_12999,c_12988,c_12955,c_12889,c_12838,c_12837,c_12816,c_12810,c_12754,c_12751,c_12744,c_12692,c_12684,c_12679,c_12455,c_12451,c_12332,c_12294,c_12268,c_12230,c_12220,c_12181,c_12169,c_12085,c_12083,c_12075,c_12052,c_12028,c_11947,c_11923,c_11839,c_11511,c_11460,c_11452,c_11328,c_11237,c_11206,c_11124,c_11117,c_11066,c_11062,c_11053,c_11051,c_10955,c_10933,c_10920,c_10859,c_10811,c_10783,c_10745,c_10746,c_10733,c_10715,c_10716,c_10642,c_10581,c_10551,c_10447,c_10374,c_10309,c_10288,c_10277,c_10251,c_10224,c_10207,c_10192,c_10068,c_10017,c_9845,c_9790,c_9782,c_9711,c_9707,c_9704,c_9690,c_9685,c_9679,c_9678,c_9669,c_9639,c_9627,c_9621,c_9617,c_9592,c_9579,c_9536,c_9520,c_9504,c_9490,c_9491,c_9492,c_9431,c_9432,c_9433,c_9407,c_9400,c_9394,c_9388,c_9371,c_9358,c_9348,c_9302,c_9303,c_9304,c_9306,c_9214,c_9215,c_9216,c_9217,c_9024,c_9025,c_9026,c_9002,c_9003,c_9004,c_8933,c_8915,c_8909,c_8880,c_8873,c_8855,c_8845,c_8718,c_8719,c_8713,c_8712,c_8690,c_8691,c_8685,c_8684,c_8642,c_8643,c_8637,c_8636,c_8506,c_8508,c_8501,c_8500,c_8484,c_8485,c_8486,c_8487,c_8488,c_8379,c_8354,c_8222,c_8201,c_8192,c_8174,c_8108,c_8109,c_8110,c_8111,c_8065,c_8067,c_8060,c_8056,c_7969,c_7965,c_7924,c_7917,c_7913,c_7905,c_7873,c_7861,c_7749,c_7721,c_7697,c_7683,c_7674,c_7672,c_7668,c_7663,c_7661,c_7660,c_7659,c_7635,c_7634,c_7590,c_7567,c_7559,c_7548,c_7549,c_7550,c_7530,c_7521,c_7483,c_7465,c_7443,c_7407,c_7398,c_7374,c_7329,c_7300,c_7286,c_7260,c_7246,c_7232,c_7213,c_7059,c_7038,c_6999,c_6990,c_6977,c_6978,c_6979,c_6980,c_6981,c_6973,c_6948,c_6949,c_6950,c_6951,c_6928,c_6917,c_6918,c_6920,c_6890,c_6891,c_6892,c_6893,c_6874,c_6863,c_6864,c_6865,c_6866,c_6841,c_6842,c_6843,c_6844,c_6830,c_6815,c_6755,c_6723,c_6724,c_6725,c_6719,c_6695,c_6696,c_6697,c_6700,c_6681,c_6682,c_6683,c_6653,c_6654,c_6655,c_6645,c_6627,c_6628,c_6605,c_6608,c_6588,c_6581,c_6559,c_6560,c_6561,c_6546,c_6547,c_6538,c_6539,c_6540,c_6529,c_6513,c_6515,c_6516,c_6494,c_6495,c_6471,c_6472,c_6460,c_6444,c_6440,c_6433,c_6397,c_6391,c_6369,c_6372,c_6342,c_6343,c_6344,c_6345,c_6346,c_6325,c_6326,c_6315,c_6316,c_6319,c_6281,c_6252,c_6244,c_6245,c_6227,c_6229,c_6232,c_6225,c_5660,c_5254,c_5169,c_5158,c_5156,c_5152,c_5148,c_5099,c_5096,c_5066,c_5041,c_5028,c_4870,c_4866,c_4854,c_4818,c_4766,c_4762,c_4750,c_4714,c_4662,c_4658,c_4646,c_4610,c_4515,c_4502,c_4465,c_4401,c_4365,c_4346,c_4310,c_4258,c_4254,c_4242,c_4206,c_4198,c_4194,c_4187,c_4120,c_4096,c_4095,c_4089,c_4085,c_4077,c_4070,c_4067,c_4061,c_4057,c_4053,c_4049,c_4045,c_4041,c_4032,c_4026,c_4022,c_4018,c_4014,c_4010,c_4009,c_4004,c_3731,c_3728,c_3727,c_3723,c_3720,c_3718,c_3715,c_3712,c_3711,c_3707,c_3705,c_3703,c_3699,c_3696,c_3695,c_3691,c_3688,c_3687,c_3683,c_3678,c_3677,c_3673,c_3670,c_3668,c_3478,c_3473,c_3471,c_3435,c_3422,c_3416,c_3412,c_3411,c_3402,c_3392,c_3377,c_3368,c_3358,c_3334,c_3314,c_3284,c_3280,c_3276,c_3270,c_3262,c_3259,c_3248,c_3244,c_3240,c_3236,c_3203,c_3171,c_3163,c_3100,c_3098,c_3096,c_3094,c_3090,c_3088,c_3086,c_3082,c_3080,c_3078,c_3074,c_3070,c_2652,c_2649,c_2650,c_2641,c_2638,c_2633,c_2634,c_2625,c_2622,c_2617,c_2618,c_2613,c_2609,c_2606,c_2550,c_2551,c_2540,c_2536,c_2530,c_2531,c_2520,c_2516,c_2510,c_2511,c_2500,c_2496,c_2441,c_2437,c_2433,c_2425,c_2421,c_2417,c_2413,c_2409,c_2397,c_2377,c_2370,c_2353,c_2357,c_2318,c_2301,c_2303,c_2305,c_2266,c_2249,c_2253,c_2205,c_2209,c_2210,c_2196,c_2185,c_2186,c_2187,c_2188,c_2189,c_2166,c_2146,c_2129,c_2133,c_2094,c_2077,c_2079,c_2081,c_2037,c_2041,c_2042,c_2025,c_2027,c_2029,c_2006,c_1981,c_1985,c_1986,c_1969,c_1973,c_1927,c_1926,c_1924,c_1925,c_1922,c_1917,c_1914,c_1910,c_1904,c_1905,c_1902,c_1895,c_1893,c_1890,c_1884,c_1885,c_1882,c_1877,c_1874,c_1870,c_1864,c_1865,c_1862,c_1851,c_1835,c_1836,c_1819,c_1811,c_1812,c_1787,c_1771,c_1772,c_1755,c_1748,c_1739,c_1740,c_1731,c_1728,c_1723,c_1724,c_1715,c_1707,c_1708,c_1691,c_1683,c_1684,c_1675,c_1672,c_1667,c_1668,c_1659,c_1656,c_1651,c_1652,c_1643,c_1635,c_1636,c_1627,c_1624,c_1619,c_1620,c_1615,c_1610,c_1607,c_1592,c_1583,c_1584,c_1581,c_1570,c_1567,c_1552,c_1543,c_1544,c_1541,c_1530,c_1527,c_1512,c_1503,c_1504,c_1501,c_1487,c_1472,c_1468,c_1467,c_1466,c_1465,c_1461,c_1458,c_1457,c_1456,c_1455,c_1454,c_1453,c_1447,c_1446,c_1445,c_1444,c_1443,c_1439,c_1436,c_1435,c_1434,c_1433,c_1432,c_1431,c_1426,c_1425,c_1424,c_1423,c_1422,c_1421,c_1417,c_1414,c_1413,c_1412,c_1411,c_1409,c_1403,c_1402,c_1401,c_1400,c_1399,c_1392,c_1391,c_1390,c_1389,c_1381,c_1379,c_1378,c_1370,c_1367,c_1365,c_1361,c_1360,c_1357,c_1356,c_1355,c_1348,c_1345,c_1331,c_1332,c_1323,c_1318,c_1315,c_1308,c_1297,c_1298,c_1289,c_1284,c_1281,c_1274,c_1263,c_1264,c_1250,c_1247,c_1240,c_1231,c_1232,c_1221,c_1216,c_1213,c_1206,c_1197,c_1198,c_1195,c_1194,c_1193,c_1182,c_1179,c_1174,c_1171,c_1144,c_1138,c_1136,c_1135,c_1129,c_1125,c_1116,c_1106,c_1104,c_1103,c_1097,c_1093,c_1084,c_1074,c_1072,c_1071,c_1065,c_1061,c_1052,c_1042,c_1040,c_1039,c_1033,c_1029,c_1020,c_1010,c_1008,c_1007,c_1001,c_997,c_988,c_978,c_976,c_975,c_969,c_965,c_956,c_946,c_943,c_937,c_933,c_924,c_914,c_911,c_905,c_901,c_892,c_882,c_879,c_873,c_869,c_860,c_850,c_847,c_841,c_837,c_828,c_818,c_815,c_809,c_805,c_796,c_786,c_783,c_777,c_773,c_764,c_754,c_751,c_745,c_741,c_732,c_722,c_719,c_713,c_709,c_700,c_690,c_688,c_686,c_682,c_680,c_672,c_660,c_652,c_654,c_648,c_649,c_650,c_645,c_646,c_647,c_643,c_644,c_639,c_640,c_641,c_636,c_637,c_638,c_633,c_634,c_635,c_631,c_632,c_628,c_629,c_624,c_625,c_626,c_621,c_622,c_623,c_619,c_620,c_615,c_616,c_617,c_612,c_613,c_614,c_609,c_610,c_611,c_607,c_608,c_603,c_604,c_605,c_600,c_601,c_602,c_597,c_598,c_599,c_595,c_596,c_591,c_592,c_593,c_588,c_589,c_590,c_585,c_586,c_587,c_583,c_584,c_579,c_580,c_581,c_577,c_578,c_573,c_574,c_575,c_571,c_572,c_568,c_569,c_565,c_566,c_561,c_562,c_563,c_559,c_560,c_555,c_556,c_557,c_553,c_554,c_549,c_550,c_551,c_547,c_548,c_544,c_545,c_541,c_542,c_537,c_538,c_539,c_535,c_536,c_532,c_533,c_529,c_530,c_525,c_526,c_527,c_523,c_524,c_519,c_520,c_521,c_517,c_518,c_513,c_514,c_515,c_511,c_512,c_508,c_509,c_505,c_506,c_501,c_502,c_503,c_499,c_500,c_496,c_497,c_493,c_494,c_489,c_490,c_491,c_487,c_488,c_483,c_484,c_485,c_480,c_481,c_482,c_477,c_478,c_479,c_474,c_475,c_476,c_462,c_466,c_467,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_449,c_448,c_447,c_446,c_445,c_444,c_443,c_442,c_441,c_440,c_439,c_438,c_437,c_436,c_435,c_434,c_433,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_423,c_422,c_421,c_420,c_419,c_418,c_417,c_416,c_415,c_414,c_413,c_412,c_411,c_410,c_409,c_408,c_407,c_406,c_405,c_404,c_403,c_402,c_401,c_400,c_399,c_398,c_397,c_250,c_381,c_374,c_373,c_364,c_362,c_361,c_360,c_359,c_345,c_344,c_341,c_330,c_329,c_189,c_190,c_191,c_192,c_193,c_194,c_195,c_196,c_197,c_198,c_199,c_200,c_201,c_202,c_203,c_204,c_205,c_206,c_207,c_208,c_209,c_210,c_211,c_212,c_213,c_214,c_215,c_216,c_217,c_218,c_219,c_220,c_221,c_222,c_223,c_224,c_225,c_226,c_227,c_228,c_229,c_230,c_231,c_232,c_233,c_234,c_235,c_236,c_237,c_238,c_239,c_240,c_241,c_242,c_243,c_244,c_245,c_246,c_247,c_261,c_262,c_263,c_248,c_328]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV422-1.060 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n017.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 19:35:01 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running EPR theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.43  % Detected problem language: tptp
% 0.09/0.44  % Proving...
% 18.75/3.24  % SZS status Started for theBenchmark.p
% 18.75/3.24  % SZS status Unsatisfiable for theBenchmark.p
% 18.75/3.24  
% 18.75/3.24  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.75/3.24  
% 18.75/3.24  % ------  iProver source info
% 18.75/3.24  
% 18.75/3.24  % git: date: 2026-07-19 20:42:38 +0200
% 18.75/3.24  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.75/3.24  % git: non_committed_changes: false
% 18.75/3.24  
% 18.75/3.24  % ------ Parsing...% successful
% 18.75/3.24  
% 18.75/3.24  
% 18.75/3.24  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 18.75/3.24  % ------ Proving...
% 18.75/3.24  % ------ Problem Properties 
% 18.75/3.24  
% 18.75/3.24  % 
% 18.75/3.24  % clauses                               140
% 18.75/3.24  % conjectures                           13
% 18.75/3.24  % EPR                                   140
% 18.75/3.24  % Horn                                  120
% 18.75/3.24  % unary                                 64
% 18.75/3.24  % binary                                42
% 18.75/3.24  % lits                                  365
% 18.75/3.24  % lits eq                               0
% 18.75/3.24  % fd_pure                               0
% 18.75/3.24  % fd_pseudo                             0
% 18.75/3.24  % fd_cond                               0
% 18.75/3.24  % fd_pseudo_cond                        0
% 18.75/3.24  % AC symbols                            0
% 18.75/3.24  
% 18.75/3.24  % ------ Input Options Time Limit: Unbounded
% 18.75/3.24  
% 18.75/3.24  
% 18.75/3.24  % ------ 
% 18.75/3.24  % Current options:
% 18.75/3.24  % ------ 
% 18.75/3.24  
% 18.75/3.24  
% 18.75/3.24  % 
% 18.75/3.24  
% 18.75/3.24  % ------ Proving...
% 18.75/3.24  % 
% 18.75/3.24  
% 18.75/3.24  % SZS status Unsatisfiable for theBenchmark.p
% 18.75/3.24  
% 18.75/3.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.75/3.28  
% 18.75/3.28  
%------------------------------------------------------------------------------