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Vampire-SAT---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO903_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:32:53 PM UTC 2026

% Result   : ContradictoryAxioms 0.20s 0.29s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  254 (   6 unt;   0 typ;   0 def)
%            Number of atoms       : 1921 (   0 equ)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives : 2713 (1046   ~;1298   |;   2   &)
%                                         (   0 <=>; 367  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  146 ( 144 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :  945 ( 943   !;   2   ?; 945   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    '$ki_world': $tType ).

tff(func_def_0,type,
    '$ki_local_world': '$ki_world' ).

tff(func_def_1,type,
    sK0: '$ki_world' ).

tff(pred_def_1,type,
    '$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).

tff(pred_def_2,type,
    v1: '$ki_world' > $o ).

tff(pred_def_3,type,
    v2: '$ki_world' > $o ).

tff(pred_def_4,type,
    v3: '$ki_world' > $o ).

tff(pred_def_5,type,
    v4: '$ki_world' > $o ).

tff(pred_def_7,type,
    sP2: '$ki_world' > $o ).

tff(pred_def_8,type,
    sP3: '$ki_world' > $o ).

tff(pred_def_10,type,
    sP5: '$ki_world' > $o ).

tff(pred_def_12,type,
    sP7: '$ki_world' > $o ).

tff(pred_def_14,type,
    sP9: '$ki_world' > $o ).

tff(pred_def_15,type,
    sP10: '$ki_world' > $o ).

tff(pred_def_17,type,
    sP12: '$ki_world' > $o ).

tff(pred_def_20,type,
    sP15: '$ki_world' > $o ).

tff(pred_def_21,type,
    sP16: '$ki_world' > $o ).

tff(pred_def_23,type,
    sP18: '$ki_world' > $o ).

tff(pred_def_25,type,
    sP20: '$ki_world' > $o ).

tff(pred_def_27,type,
    sP22: '$ki_world' > $o ).

tff(pred_def_28,type,
    sP23: '$ki_world' > $o ).

tff(pred_def_30,type,
    sP25: '$ki_world' > $o ).

tff(pred_def_32,type,
    sP27: '$ki_world' > $o ).

tff(pred_def_34,type,
    sP29: '$ki_world' > $o ).

tff(pred_def_35,type,
    sP30: '$ki_world' > $o ).

tff(pred_def_37,type,
    sP32: '$ki_world' > $o ).

tff(pred_def_39,type,
    sP34: '$ki_world' > $o ).

tff(pred_def_41,type,
    sP36: '$ki_world' > $o ).

tff(pred_def_42,type,
    sP37: '$ki_world' > $o ).

tff(pred_def_44,type,
    sP39: '$ki_world' > $o ).

tff(pred_def_48,type,
    sP43: '$ki_world' > $o ).

tff(pred_def_49,type,
    sP44: '$ki_world' > $o ).

tff(pred_def_52,type,
    sP47: '$ki_world' > $o ).

tff(pred_def_53,type,
    sP48: '$ki_world' > $o ).

tff(pred_def_55,type,
    sP50: '$ki_world' > $o ).

tff(pred_def_56,type,
    sP51: '$ki_world' > $o ).

tff(pred_def_58,type,
    sP53: '$ki_world' > $o ).

tff(pred_def_60,type,
    sP55: '$ki_world' > $o ).

tff(pred_def_61,type,
    sP56: '$ki_world' > $o ).

tff(pred_def_63,type,
    sP58: '$ki_world' > $o ).

tff(pred_def_65,type,
    sP60: '$ki_world' > $o ).

tff(pred_def_68,type,
    sP63: '$ki_world' > $o ).

tff(pred_def_69,type,
    sP64: '$ki_world' > $o ).

tff(pred_def_73,type,
    sP68: '$ki_world' > $o ).

tff(pred_def_74,type,
    sP69: '$ki_world' > $o ).

tff(pred_def_76,type,
    sP71: '$ki_world' > $o ).

tff(pred_def_78,type,
    sP73: '$ki_world' > $o ).

tff(pred_def_79,type,
    sP74: '$ki_world' > $o ).

tff(pred_def_81,type,
    sP76: '$ki_world' > $o ).

tff(pred_def_82,type,
    sP77: '$ki_world' > $o ).

tff(pred_def_84,type,
    sP79: '$ki_world' > $o ).

tff(pred_def_86,type,
    sP81: '$ki_world' > $o ).

tff(pred_def_87,type,
    sP82: '$ki_world' > $o ).

tff(pred_def_89,type,
    sP84: '$ki_world' > $o ).

tff(pred_def_91,type,
    sP86: '$ki_world' > $o ).

tff(pred_def_93,type,
    sP88: '$ki_world' > $o ).

tff(pred_def_94,type,
    sP89: '$ki_world' > $o ).

tff(pred_def_96,type,
    sP91: '$ki_world' > $o ).

tff(pred_def_98,type,
    sP93: '$ki_world' > $o ).

tff(pred_def_101,type,
    sP96: '$ki_world' > $o ).

tff(pred_def_102,type,
    sP97: '$ki_world' > $o ).

tff(pred_def_104,type,
    sP99: '$ki_world' > $o ).

tff(pred_def_107,type,
    sP102: '$ki_world' > $o ).

tff(pred_def_108,type,
    sP103: '$ki_world' > $o ).

tff(pred_def_112,type,
    sP107: '$ki_world' > $o ).

tff(pred_def_113,type,
    sP108: '$ki_world' > $o ).

tff(pred_def_117,type,
    sP112: '$ki_world' > $o ).

tff(pred_def_118,type,
    sP113: '$ki_world' > $o ).

tff(pred_def_121,type,
    sP116: '$ki_world' > $o ).

tff(pred_def_122,type,
    sP117: '$ki_world' > $o ).

tff(pred_def_124,type,
    sP119: '$ki_world' > $o ).

tff(pred_def_126,type,
    sP121: '$ki_world' > $o ).

tff(pred_def_129,type,
    sP124: '$ki_world' > $o ).

tff(pred_def_130,type,
    sP125: '$ki_world' > $o ).

tff(pred_def_132,type,
    sP127: '$ki_world' > $o ).

tff(pred_def_135,type,
    sP130: '$ki_world' > $o ).

tff(pred_def_136,type,
    sP131: '$ki_world' > $o ).

tff(pred_def_140,type,
    sP135: '$ki_world' > $o ).

tff(pred_def_141,type,
    sP136: '$ki_world' > $o ).

tff(pred_def_145,type,
    sP140: '$ki_world' > $o ).

tff(pred_def_146,type,
    sP141: '$ki_world' > $o ).

tff(pred_def_149,type,
    sP144: '$ki_world' > $o ).

tff(pred_def_150,type,
    sP145: '$ki_world' > $o ).

tff(pred_def_152,type,
    sP147: '$ki_world' > $o ).

tff(pred_def_156,type,
    sP151: '$ki_world' > $o ).

tff(pred_def_157,type,
    sP152: '$ki_world' > $o ).

tff(pred_def_159,type,
    sP154: '$ki_world' > $o ).

tff(pred_def_162,type,
    sP157: '$ki_world' > $o ).

tff(pred_def_163,type,
    sP158: '$ki_world' > $o ).

tff(pred_def_165,type,
    sP160: '$ki_world' > $o ).

tff(pred_def_168,type,
    sP163: '$ki_world' > $o ).

tff(pred_def_169,type,
    sP164: '$ki_world' > $o ).

tff(pred_def_171,type,
    sP166: '$ki_world' > $o ).

tff(pred_def_174,type,
    sP169: '$ki_world' > $o ).

tff(pred_def_175,type,
    sP170: '$ki_world' > $o ).

tff(pred_def_177,type,
    sP172: '$ki_world' > $o ).

tff(pred_def_180,type,
    sP175: '$ki_world' > $o ).

tff(pred_def_181,type,
    sP176: '$ki_world' > $o ).

tff(pred_def_184,type,
    sP179: '$ki_world' > $o ).

tff(pred_def_185,type,
    sP180: '$ki_world' > $o ).

tff(pred_def_187,type,
    sP182: '$ki_world' > $o ).

tff(pred_def_188,type,
    sP183: '$ki_world' > $o ).

tff(pred_def_190,type,
    sP185: '$ki_world' > $o ).

tff(pred_def_192,type,
    sP187: '$ki_world' > $o ).

tff(pred_def_193,type,
    sP188: '$ki_world' > $o ).

tff(pred_def_195,type,
    sP190: '$ki_world' > $o ).

tff(pred_def_197,type,
    sP192: '$ki_world' > $o ).

tff(pred_def_199,type,
    sP194: '$ki_world' > $o ).

tff(pred_def_200,type,
    sP195: '$ki_world' > $o ).

tff(pred_def_202,type,
    sP197: '$ki_world' > $o ).

tff(pred_def_204,type,
    sP199: '$ki_world' > $o ).

tff(pred_def_207,type,
    sP202: '$ki_world' > $o ).

tff(pred_def_208,type,
    sP203: '$ki_world' > $o ).

tff(pred_def_212,type,
    sP207: '$ki_world' > $o ).

tff(pred_def_213,type,
    sP208: '$ki_world' > $o ).

tff(pred_def_215,type,
    sP210: '$ki_world' > $o ).

tff(pred_def_218,type,
    sP213: '$ki_world' > $o ).

tff(pred_def_219,type,
    sP214: '$ki_world' > $o ).

tff(pred_def_224,type,
    sP219: '$ki_world' > $o ).

tff(pred_def_228,type,
    sP223: '$ki_world' > $o ).

tff(pred_def_230,type,
    sP225: '$ki_world' > $o ).

tff(pred_def_231,type,
    sP226: '$ki_world' > $o ).

tff(pred_def_233,type,
    sP228: '$ki_world' > $o ).

tff(pred_def_235,type,
    sP230: '$ki_world' > $o ).

tff(pred_def_237,type,
    sP232: '$ki_world' > $o ).

tff(pred_def_238,type,
    sP233: '$ki_world' > $o ).

tff(pred_def_240,type,
    sP235: '$ki_world' > $o ).

tff(pred_def_244,type,
    sP239: '$ki_world' > $o ).

tff(pred_def_245,type,
    sP240: '$ki_world' > $o ).

tff(pred_def_247,type,
    sP242: '$ki_world' > $o ).

tff(pred_def_250,type,
    sP245: '$ki_world' > $o ).

tff(pred_def_251,type,
    sP246: '$ki_world' > $o ).

tff(pred_def_255,type,
    sP250: '$ki_world' > $o ).

tff(pred_def_256,type,
    sP251: '$ki_world' > $o ).

tff(pred_def_260,type,
    sP255: '$ki_world' > $o ).

tff(pred_def_261,type,
    sP256: '$ki_world' > $o ).

tff(pred_def_266,type,
    sP261: '$ki_world' > $o ).

tff(pred_def_269,type,
    sP264: '$ki_world' > $o ).

tff(pred_def_270,type,
    sP265: '$ki_world' > $o ).

tff(pred_def_274,type,
    sP269: '$ki_world' > $o ).

tff(pred_def_275,type,
    sP270: '$ki_world' > $o ).

tff(pred_def_277,type,
    sP272: '$ki_world' > $o ).

tff(pred_def_280,type,
    sP275: '$ki_world' > $o ).

tff(pred_def_281,type,
    sP276: '$ki_world' > $o ).

tff(pred_def_286,type,
    sP281: '$ki_world' > $o ).

tff(pred_def_290,type,
    sP285: '$ki_world' > $o ).

tff(pred_def_294,type,
    sP289: '$ki_world' > $o ).

tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f2,axiom,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( ( '$ki_accessible'(X0,X1)
        & '$ki_accessible'(X1,X2) )
     => '$ki_accessible'(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_transitive) ).

tff(f3,axiom,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat1) ).

tff(f4,axiom,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat2) ).

tff(f5,axiom,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat3) ).

tff(f6,axiom,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat4) ).

tff(f7,axiom,
    ( v1('$ki_local_world')
    | v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat5) ).

tff(f8,axiom,
    ( v1('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat6) ).

tff(f9,axiom,
    ( v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat7) ).

tff(f10,axiom,
    ( v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat8) ).

tff(f11,axiom,
    ( v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat9) ).

tff(f12,axiom,
    ( v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat10) ).

tff(f13,axiom,
    ( v1('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat11) ).

tff(f14,axiom,
    ( v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat12) ).

tff(f15,axiom,
    ( v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v2(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat13) ).

tff(f16,axiom,
    ( v2('$ki_local_world')
    | v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat14) ).

tff(f17,axiom,
    ( v2('$ki_local_world')
    | v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat15) ).

tff(f18,axiom,
    ( v2('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat16) ).

tff(f19,axiom,
    ( v2('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat17) ).

tff(f20,axiom,
    ( v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat18) ).

tff(f21,axiom,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat19) ).

tff(f22,axiom,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat20) ).

tff(f23,axiom,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat21) ).

tff(f24,axiom,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v2(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat22) ).

tff(f25,axiom,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat23) ).

tff(f26,axiom,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat24) ).

tff(f27,axiom,
    ( v3('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat25) ).

tff(f28,axiom,
    ( v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat26) ).

tff(f29,axiom,
    ( v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat27) ).

tff(f30,axiom,
    ( v4('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat28) ).

tff(f31,axiom,
    ( v4('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat29) ).

tff(f32,axiom,
    ( v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat30) ).

tff(f33,axiom,
    ( v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat31) ).

tff(f34,axiom,
    ( v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat32) ).

tff(f35,axiom,
    ( ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat33) ).

tff(f36,axiom,
    ( ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat34) ).

tff(f37,axiom,
    ( ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat35) ).

tff(f38,axiom,
    ( ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat36) ).

tff(f39,axiom,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat37) ).

tff(f40,axiom,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat38) ).

tff(f41,axiom,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat39) ).

tff(f42,axiom,
    ( ~ v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat40) ).

tff(f43,axiom,
    ( ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat41) ).

tff(f44,axiom,
    ( ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat42) ).

tff(f45,axiom,
    ( ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat43) ).

tff(f46,axiom,
    ( ~ v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat44) ).

tff(f47,axiom,
    ( ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat45) ).

tff(f48,axiom,
    ( ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v2(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat46) ).

tff(f49,axiom,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat47) ).

tff(f50,axiom,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat48) ).

tff(f51,axiom,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat49) ).

tff(f52,axiom,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v4(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',persat50) ).

tff(f53,axiom,
    ? [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
      & $true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deontic1) ).

tff(f56,plain,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v1(X2) ) ) ),
    inference(rectify,[],[f6]) ).

tff(f57,plain,
    ( v1('$ki_local_world')
    | v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) ) ),
    inference(rectify,[],[f7]) ).

tff(f58,plain,
    ( v1('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v1(X2) ) ) ),
    inference(rectify,[],[f8]) ).

tff(f59,plain,
    ( v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v3(X2) ) ) ),
    inference(rectify,[],[f10]) ).

tff(f60,plain,
    ( v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v4(X2) ) ) ),
    inference(rectify,[],[f11]) ).

tff(f61,plain,
    ( v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v1(X2) ) ) ),
    inference(rectify,[],[f12]) ).

tff(f62,plain,
    ( v1('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v4(X3) ) ) ),
    inference(rectify,[],[f13]) ).

tff(f63,plain,
    ( v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ~ v1(X1) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v1(X3) ) ) ),
    inference(rectify,[],[f14]) ).

tff(f64,plain,
    ( v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v2(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v4(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v2(X4) ) ) ),
    inference(rectify,[],[f15]) ).

tff(f65,plain,
    ( v2('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v2(X2) ) ) ),
    inference(rectify,[],[f18]) ).

tff(f66,plain,
    ( v2('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v4(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v3(X3) ) ) ),
    inference(rectify,[],[f19]) ).

tff(f67,plain,
    ( v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v1(X2) ) ) ),
    inference(rectify,[],[f20]) ).

tff(f68,plain,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v2(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => v3(X4) ) ) ),
    inference(rectify,[],[f21]) ).

tff(f69,plain,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v3(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v2(X4) ) ) ),
    inference(rectify,[],[f22]) ).

tff(f70,plain,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v3(X3) ) )
    | ! [X4: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X4)
       => ! [X5: '$ki_world'] :
            ( '$ki_accessible'(X4,X5)
           => ~ v4(X5) ) ) ),
    inference(rectify,[],[f23]) ).

tff(f71,plain,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v2(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v1(X2) ) ) ),
    inference(rectify,[],[f24]) ).

tff(f72,plain,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v4(X3) ) ) ),
    inference(rectify,[],[f25]) ).

tff(f73,plain,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v2(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) ) ),
    inference(rectify,[],[f26]) ).

tff(f74,plain,
    ( v3('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v2(X3) ) ) ),
    inference(rectify,[],[f27]) ).

tff(f75,plain,
    ( v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v4(X3) ) ) ),
    inference(rectify,[],[f28]) ).

tff(f76,plain,
    ( v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ~ v1(X1) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) ) ),
    inference(rectify,[],[f29]) ).

tff(f77,plain,
    ( v4('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v2(X2) ) ) ),
    inference(rectify,[],[f30]) ).

tff(f78,plain,
    ( v4('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v3(X2) ) ) ),
    inference(rectify,[],[f31]) ).

tff(f79,plain,
    ( v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v2(X2) ) ) ),
    inference(rectify,[],[f32]) ).

tff(f80,plain,
    ( v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) ) ),
    inference(rectify,[],[f33]) ).

tff(f81,plain,
    ( v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v4(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v1(X4) ) ) ),
    inference(rectify,[],[f34]) ).

tff(f82,plain,
    ( ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v1(X2) ) ) ),
    inference(rectify,[],[f35]) ).

tff(f83,plain,
    ( ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v1(X2) ) ) ),
    inference(rectify,[],[f36]) ).

tff(f84,plain,
    ( ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v3(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v4(X2) ) ) ),
    inference(rectify,[],[f37]) ).

tff(f85,plain,
    ( ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ~ v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => ~ v3(X3) ) ) ),
    inference(rectify,[],[f38]) ).

tff(f86,plain,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v1(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => v4(X4) ) ) ),
    inference(rectify,[],[f39]) ).

tff(f87,plain,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v4(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v4(X4) ) ) ),
    inference(rectify,[],[f40]) ).

tff(f88,plain,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) )
    | ! [X4: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X4)
       => ! [X5: '$ki_world'] :
            ( '$ki_accessible'(X4,X5)
           => ~ v3(X5) ) ) ),
    inference(rectify,[],[f41]) ).

tff(f89,plain,
    ( ~ v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v1(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) ) ),
    inference(rectify,[],[f42]) ).

tff(f90,plain,
    ( ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v3(X2) ) ) ),
    inference(rectify,[],[f43]) ).

tff(f91,plain,
    ( ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v2(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v3(X4) ) ) ),
    inference(rectify,[],[f44]) ).

tff(f92,plain,
    ( ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => v3(X1) ) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v4(X3) ) )
    | ! [X4: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X4)
       => ! [X5: '$ki_world'] :
            ( '$ki_accessible'(X4,X5)
           => ~ v1(X5) ) ) ),
    inference(rectify,[],[f45]) ).

tff(f93,plain,
    ( ~ v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v4(X2) ) ) ),
    inference(rectify,[],[f46]) ).

tff(f94,plain,
    ( ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ~ v4(X1) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v3(X3) ) ) ),
    inference(rectify,[],[f47]) ).

tff(f95,plain,
    ( ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => ~ v2(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v4(X4) ) ) ),
    inference(rectify,[],[f48]) ).

tff(f96,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v1(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v3(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => v4(X4) ) ) ),
    inference(rectify,[],[f49]) ).

tff(f97,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v3(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v2(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v4(X4) ) ) ),
    inference(rectify,[],[f50]) ).

tff(f98,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => v4(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ~ v1(X1) )
    | ! [X2: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X2)
       => ! [X3: '$ki_world'] :
            ( '$ki_accessible'(X2,X3)
           => v1(X3) ) ) ),
    inference(rectify,[],[f51]) ).

tff(f99,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ~ v2(X0) )
    | ! [X1: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X1)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'(X1,X2)
           => v4(X2) ) )
    | ! [X3: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X3)
       => ! [X4: '$ki_world'] :
            ( '$ki_accessible'(X3,X4)
           => ~ v4(X4) ) ) ),
    inference(rectify,[],[f52]) ).

tff(f100,plain,
    ? [X0: '$ki_world'] : '$ki_accessible'('$ki_local_world',X0),
    inference(true_and_false_elimination,[],[f53]) ).

tff(f102,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'(X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f103,plain,
    ! [X0: '$ki_world',X1: '$ki_world',X2: '$ki_world'] :
      ( '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'(X1,X2) ),
    inference(flattening,[],[f102]) ).

tff(f104,plain,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f105,plain,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f106,plain,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f107,plain,
    ( v1('$ki_local_world')
    | v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f56]) ).

tff(f108,plain,
    ( v1('$ki_local_world')
    | v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f57]) ).

tff(f109,plain,
    ( v1('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f58]) ).

tff(f110,plain,
    ( v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v2(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f111,plain,
    ( v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v3(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f59]) ).

tff(f112,plain,
    ( v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f60]) ).

tff(f113,plain,
    ( v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f61]) ).

tff(f114,plain,
    ( v1('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f62]) ).

tff(f115,plain,
    ( v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ~ v1(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f63]) ).

tff(f116,plain,
    ( v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v2(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v2(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f64]) ).

tff(f117,plain,
    ( v2('$ki_local_world')
    | v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f118,plain,
    ( v2('$ki_local_world')
    | v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f119,plain,
    ( v2('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v2(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f65]) ).

tff(f120,plain,
    ( v2('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v4(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f66]) ).

tff(f121,plain,
    ( v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f67]) ).

tff(f122,plain,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( v3(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f68]) ).

tff(f123,plain,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v3(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v2(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f69]) ).

tff(f124,plain,
    ( v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ! [X4: '$ki_world'] :
        ( ! [X5: '$ki_world'] :
            ( ~ v4(X5)
            | ~ '$ki_accessible'(X4,X5) )
        | ~ '$ki_accessible'('$ki_local_world',X4) ) ),
    inference(ennf_transformation,[],[f70]) ).

tff(f125,plain,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v2(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f71]) ).

tff(f126,plain,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f72]) ).

tff(f127,plain,
    ( v3('$ki_local_world')
    | v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v2(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f73]) ).

tff(f128,plain,
    ( v3('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v2(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f74]) ).

tff(f129,plain,
    ( v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f75]) ).

tff(f130,plain,
    ( v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ~ v1(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f76]) ).

tff(f131,plain,
    ( v4('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f77]) ).

tff(f132,plain,
    ( v4('$ki_local_world')
    | ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v3(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f78]) ).

tff(f133,plain,
    ( v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f79]) ).

tff(f134,plain,
    ( v4('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f80]) ).

tff(f135,plain,
    ( v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v1(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f81]) ).

tff(f136,plain,
    ( ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f82]) ).

tff(f137,plain,
    ( ~ v1('$ki_local_world')
    | ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f83]) ).

tff(f138,plain,
    ( ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f84]) ).

tff(f139,plain,
    ( ~ v1('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ~ v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f85]) ).

tff(f140,plain,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v1(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( v4(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f86]) ).

tff(f141,plain,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v4(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f87]) ).

tff(f142,plain,
    ( ~ v1('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ! [X4: '$ki_world'] :
        ( ! [X5: '$ki_world'] :
            ( ~ v3(X5)
            | ~ '$ki_accessible'(X4,X5) )
        | ~ '$ki_accessible'('$ki_local_world',X4) ) ),
    inference(ennf_transformation,[],[f88]) ).

tff(f143,plain,
    ( ~ v2('$ki_local_world')
    | ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v1(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f89]) ).

tff(f144,plain,
    ( ~ v2('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v2(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v3(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f90]) ).

tff(f145,plain,
    ( ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v3(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f91]) ).

tff(f146,plain,
    ( ~ v2('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( v3(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v4(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) )
    | ! [X4: '$ki_world'] :
        ( ! [X5: '$ki_world'] :
            ( ~ v1(X5)
            | ~ '$ki_accessible'(X4,X5) )
        | ~ '$ki_accessible'('$ki_local_world',X4) ) ),
    inference(ennf_transformation,[],[f92]) ).

tff(f147,plain,
    ( ~ v3('$ki_local_world')
    | ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f93]) ).

tff(f148,plain,
    ( ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ~ v4(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v3(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f94]) ).

tff(f149,plain,
    ( ~ v3('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( ~ v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v4(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f95]) ).

tff(f150,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v1(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v3(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( v4(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f96]) ).

tff(f151,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v3(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v2(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v4(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f97]) ).

tff(f152,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( v4(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ~ v1(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( v1(X3)
            | ~ '$ki_accessible'(X2,X3) )
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(ennf_transformation,[],[f98]) ).

tff(f153,plain,
    ( ~ v4('$ki_local_world')
    | ! [X0: '$ki_world'] :
        ( ~ v2(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    | ! [X1: '$ki_world'] :
        ( ! [X2: '$ki_world'] :
            ( v4(X2)
            | ~ '$ki_accessible'(X1,X2) )
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    | ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ v4(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(ennf_transformation,[],[f99]) ).

tff(f154,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f100]) ).

tff(f155,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f156,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'(X0,X2)
      | ~ '$ki_accessible'(X2,X1) ),
    inference(cnf_transformation,[],[f103]) ).

tff(f157,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | v3('$ki_local_world')
      | ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f104]) ).

tff(f158,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f105]) ).

tff(f159,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f106]) ).

tff(f160,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | ~ v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f107]) ).

tff(f161,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v3('$ki_local_world')
      | v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f108]) ).

tff(f162,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f109]) ).

tff(f163,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | ~ v4('$ki_local_world')
      | ~ v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f110]) ).

tff(f164,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | ~ v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f111]) ).

tff(f165,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v3('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f112]) ).

tff(f166,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f113]) ).

tff(f167,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v4('$ki_local_world')
      | ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f114]) ).

tff(f168,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f115]) ).

tff(f169,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v2(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f116]) ).

tff(f170,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | v3('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f171,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f118]) ).

tff(f172,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f119]) ).

tff(f173,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v1('$ki_local_world')
      | v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f120]) ).

tff(f174,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f121]) ).

tff(f175,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v2('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v3(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f122]) ).

tff(f176,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v2(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f123]) ).

tff(f177,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( v2('$ki_local_world')
      | v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v4(X5)
      | ~ '$ki_accessible'(X4,X5)
      | ~ '$ki_accessible'('$ki_local_world',X4) ),
    inference(cnf_transformation,[],[f124]) ).

tff(f178,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | v4('$ki_local_world')
      | v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f125]) ).

tff(f179,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | v4('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f126]) ).

tff(f180,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | v4('$ki_local_world')
      | v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f127]) ).

tff(f181,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | ~ v1('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f128]) ).

tff(f182,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | ~ v4('$ki_local_world')
      | v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f129]) ).

tff(f183,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f130]) ).

tff(f184,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v1('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f131]) ).

tff(f185,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v1('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f132]) ).

tff(f186,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v3('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f133]) ).

tff(f187,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v3('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f134]) ).

tff(f188,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v1(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f135]) ).

tff(f189,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f136]) ).

tff(f190,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f137]) ).

tff(f191,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f138]) ).

tff(f192,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f139]) ).

tff(f193,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f140]) ).

tff(f194,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f141]) ).

tff(f195,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v3(X5)
      | ~ '$ki_accessible'(X4,X5)
      | ~ '$ki_accessible'('$ki_local_world',X4) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f196,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | ~ v3('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f143]) ).

tff(f197,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | ~ v4('$ki_local_world')
      | ~ v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f144]) ).

tff(f198,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v3(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f145]) ).

tff(f199,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v1(X5)
      | ~ '$ki_accessible'(X4,X5)
      | ~ '$ki_accessible'('$ki_local_world',X4) ),
    inference(cnf_transformation,[],[f146]) ).

tff(f200,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | ~ v4('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f147]) ).

tff(f201,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f202,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f149]) ).

tff(f203,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f150]) ).

tff(f204,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f151]) ).

tff(f205,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(cnf_transformation,[],[f152]) ).

tff(f206,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | ~ v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(cnf_transformation,[],[f153]) ).

tff(f207,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(cnf_transformation,[],[f154]) ).

tff(f208,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(consistent_polarity_flipping,[],[f157]) ).

tff(f209,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | v3('$ki_local_world')
      | v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

tff(f210,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | v3('$ki_local_world')
      | v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

tff(f211,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2('$ki_local_world')
      | v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

tff(f212,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f161]) ).

tff(f213,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v4('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

tff(f214,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

tff(f215,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

tff(f216,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v3('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f165]) ).

tff(f217,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v3('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

tff(f218,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v1('$ki_local_world')
      | v4('$ki_local_world')
      | v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

tff(f219,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v1('$ki_local_world')
      | v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v2(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f169]) ).

tff(f220,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v3('$ki_local_world')
      | ~ v4('$ki_local_world')
      | v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

tff(f221,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v4('$ki_local_world')
      | v3('$ki_local_world')
      | v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

tff(f222,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v4('$ki_local_world')
      | ~ v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

tff(f223,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v1('$ki_local_world')
      | ~ v4(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f173]) ).

tff(f224,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v2('$ki_local_world')
      | v3('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

tff(f225,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v3(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

tff(f226,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v2(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

tff(f227,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( v2('$ki_local_world')
      | ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v4(X5)
      | ~ '$ki_accessible'(X4,X5)
      | ~ '$ki_accessible'('$ki_local_world',X4) ),
    inference(consistent_polarity_flipping,[],[f177]) ).

tff(f228,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | ~ v4('$ki_local_world')
      | v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

tff(f229,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | ~ v4('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

tff(f230,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | ~ v4('$ki_local_world')
      | v2(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

tff(f231,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | ~ v1('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f181]) ).

tff(f232,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

tff(f233,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v3('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

tff(f234,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | ~ v1('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

tff(f235,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | ~ v1('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f185]) ).

tff(f236,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | v3('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

tff(f237,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | v3('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

tff(f238,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v4('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v1(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

tff(f239,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | ~ v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f189]) ).

tff(f240,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v2('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

tff(f241,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | v3('$ki_local_world')
      | v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

tff(f242,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | v3('$ki_local_world')
      | ~ v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

tff(f243,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | ~ v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v1(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f193]) ).

tff(f244,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

tff(f245,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( ~ v1('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | v3(X5)
      | ~ '$ki_accessible'(X4,X5)
      | ~ '$ki_accessible'('$ki_local_world',X4) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

tff(f246,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | v3('$ki_local_world')
      | v1(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

tff(f247,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | v4('$ki_local_world')
      | ~ v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f197]) ).

tff(f248,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v3(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

tff(f249,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world',X5: '$ki_world'] :
      ( ~ v2('$ki_local_world')
      | ~ v3(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2)
      | ~ v1(X5)
      | ~ '$ki_accessible'(X4,X5)
      | ~ '$ki_accessible'('$ki_local_world',X4) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

tff(f250,plain,
    ! [X2: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | v4('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

tff(f251,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v3('$ki_local_world')
      | ~ v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v4(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v3(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f201]) ).

tff(f252,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v3('$ki_local_world')
      | v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

tff(f253,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v4('$ki_local_world')
      | v1(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v3(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | ~ v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

tff(f254,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v3(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | v2(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

tff(f255,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v4(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v1(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v1(X3)
      | ~ '$ki_accessible'(X2,X3)
      | ~ '$ki_accessible'('$ki_local_world',X2) ),
    inference(consistent_polarity_flipping,[],[f205]) ).

tff(f256,plain,
    ! [X2: '$ki_world',X3: '$ki_world',X0: '$ki_world',X1: '$ki_world',X4: '$ki_world'] :
      ( v4('$ki_local_world')
      | ~ v2(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ v4(X2)
      | ~ '$ki_accessible'(X1,X2)
      | ~ '$ki_accessible'('$ki_local_world',X1)
      | v4(X4)
      | ~ '$ki_accessible'(X3,X4)
      | ~ '$ki_accessible'('$ki_local_world',X3) ),
    inference(consistent_polarity_flipping,[],[f206]) ).

tff(f886,plain,
    $false,
    inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f155,f156,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f168,f219,f220,f221,f222,f223,f224,f225,f226,f227,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f248,f249,f250,f251,f252,f253,f254,f255,f256,f207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO903_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20  % Computer : n001.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 18:46:03 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.29  % (607725)Will run a generic schedule for satisfiability detection.
% 0.20/0.29  % (607744)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3064706655_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29  % (607745)% WARNING: option uhcvi not known.
% 0.20/0.29  % Detected minimum model sizes of [1]
% 0.20/0.29  % Detected maximum model sizes of [2]
% 0.20/0.29  % TRYING [1]
% 0.20/0.29  % (607744) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-607725-607744"...
% 0.20/0.29  % (607745)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1168667741:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29  % (607748)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1408067891:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29  % (607747)dis+10_1_sil=32000:sp=arity:random_seed=2289164526:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29  % (607746)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2947487438:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29  % (607749)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2967356578:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29  % (607751)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=116529198:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29  % (607744)...printing done.
% 0.20/0.29  % (607744)Refutation found. Thanks to Tanya!
% 0.20/0.29  % SZS status ContradictoryAxioms for theBenchmark
% 0.20/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30  % (607744)------------------------------
% 0.20/0.30  % (607744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30  % (607744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30  % (607744)CaDiCaL version: 2.1.3
% 0.20/0.30  % (607744)Termination reason: Refutation
% 0.20/0.30  % (607744)Time elapsed: 0.010 s
% 0.20/0.30  % (607744)Peak memory usage: 12 MB
% 0.20/0.30  % (607744)Instructions burned: 37 (million)
% 0.20/0.30  % (607725)Success in time 0.052 s
% 0.20/0.30  % Vampire exiting
%------------------------------------------------------------------------------