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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN503-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:35 PM UTC 2026

% Result   : Unsatisfiable 7.16s 1.74s
% Output   : CNFRefutation 7.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  121
% Syntax   : Number of formulae    :  478 (   2 unt;   0 def)
%            Number of atoms       : 2117 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2778 (1139   ~;1639   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   59 (  58 usr;  55 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :  353 (   0 sgn 353   !;   0   ?; 270   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp16
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ( hskp19
    | hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).

fof(f31,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f35,negated_conjecture,
    ( hskp4
    | hskp23
    | hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp22
    | hskp9
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp13
    | hskp16
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

fof(f43,negated_conjecture,
    ( c0_1(a282)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c1_1(a282)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c2_1(a282)
    | ~ hskp28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c1_1(a261)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c2_1(a261)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c3_1(a261)
    | ~ hskp27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c0_1(a234)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c1_1(a234)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c3_1(a234)
    | ~ hskp26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c2_1(a320)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c3_1(a320)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( c1_1(a274)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).

fof(f58,negated_conjecture,
    ( c0_1(a257)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c1_1(a257)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c0_1(a252)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c2_1(a252)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c1_1(a248)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( c3_1(a248)
    | ~ hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c0_1(a245)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c1_1(a242)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f67,negated_conjecture,
    ( c2_1(a239)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c3_1(a239)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c0_1(a237)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f72,negated_conjecture,
    ( c1_1(a231)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c3_1(a231)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c0_1(a226)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f76,negated_conjecture,
    ( c1_1(a223)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c2_1(a223)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c1_1(a220)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c2_1(a220)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c3_1(a218)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c0_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c1_1(a216)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c2_1(a215)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c2_1(a213)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a320) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f89,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a274) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a274) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a271) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a271) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a271) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).

fof(f95,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a257) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a255) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a255) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a255) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f99,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a252) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).

fof(f100,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a248) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a245) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a245) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a242) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a242) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f107,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a239) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a237) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f111,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a231) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a226) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a226) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f116,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a223) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a220) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a218) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a218) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a217) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a217) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a217) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a216) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a215) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a215) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a214) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a214) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a213) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a213) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ! [X0] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp27
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp18
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp9
      | hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp10
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp3
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp6
      | hskp7
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp26
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c3_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp26
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

fof(f178,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp9
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).

fof(f185,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).

fof(f187,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X1)
      | c0_1(X1)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X2)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).

fof(f189,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).

fof(f190,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).

fof(f191,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).

fof(f192,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).

fof(f194,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).

fof(f195,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).

fof(f196,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).

fof(f199,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).

fof(f200,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).

tcf(c_249,negated_conjecture,
    ( hskp16
    | hskp3 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_250,negated_conjecture,
    ( hskp19
    | hskp25 ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_268,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_279,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_280,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_283,negated_conjecture,
    ( hskp4
    | hskp20
    | hskp23 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_284,negated_conjecture,
    ( hskp9
    | hskp18
    | hskp22 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_285,negated_conjecture,
    ( hskp17
    | hskp18
    | hskp27 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_286,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp16 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_287,negated_conjecture,
    ( hskp0
    | hskp1
    | hskp12 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_291,negated_conjecture,
    ( c0_1(a282)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_292,negated_conjecture,
    ( c1_1(a282)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_293,negated_conjecture,
    ( c2_1(a282)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_294,negated_conjecture,
    ( c1_1(a261)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_295,negated_conjecture,
    ( c2_1(a261)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_296,negated_conjecture,
    ( c3_1(a261)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_297,negated_conjecture,
    ( c0_1(a234)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_298,negated_conjecture,
    ( c1_1(a234)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_299,negated_conjecture,
    ( c3_1(a234)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_300,negated_conjecture,
    ( c2_1(a320)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_301,negated_conjecture,
    ( c3_1(a320)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_303,negated_conjecture,
    ( c1_1(a274)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_306,negated_conjecture,
    ( c0_1(a257)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_307,negated_conjecture,
    ( c1_1(a257)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_308,negated_conjecture,
    ( c0_1(a252)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_309,negated_conjecture,
    ( c2_1(a252)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_310,negated_conjecture,
    ( c1_1(a248)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_311,negated_conjecture,
    ( c3_1(a248)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_312,negated_conjecture,
    ( c0_1(a245)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_313,negated_conjecture,
    ( c1_1(a242)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_315,negated_conjecture,
    ( c2_1(a239)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_316,negated_conjecture,
    ( c3_1(a239)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_317,negated_conjecture,
    ( c0_1(a237)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_320,negated_conjecture,
    ( c1_1(a231)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_321,negated_conjecture,
    ( c3_1(a231)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_322,negated_conjecture,
    ( c0_1(a226)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_324,negated_conjecture,
    ( c1_1(a223)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_325,negated_conjecture,
    ( c2_1(a223)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_326,negated_conjecture,
    ( c1_1(a220)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_327,negated_conjecture,
    ( c2_1(a220)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_328,negated_conjecture,
    ( c3_1(a218)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_329,negated_conjecture,
    ( c0_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_330,negated_conjecture,
    ( c1_1(a216)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_331,negated_conjecture,
    ( c2_1(a215)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_332,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_333,negated_conjecture,
    ( c2_1(a213)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a320) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a274) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a274) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a271) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a271) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a271) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a257) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a255) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a255) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a255) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_347,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a252) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a248) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a245) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_350,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a245) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_351,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a242) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a242) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a239) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a237) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a231) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a226) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a226) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a223) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a220) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a218) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a218) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a217) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a217) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a217) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a216) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a215) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a215) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_374,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a214) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_375,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a214) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_376,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a213) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a213) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_378,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp19
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp3
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp19
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_464,plain,
    ( hskp6
    | hskp7
    | c3_1(a213)
    | ~ ndr1_0
    | ~ c2_1(a213)
    | ~ c0_1(a213) ),
    inference(instantiation,[status(thm)],[c_401]) ).

tcf(c_481,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_280,c_287,c_280,c_279,c_268]) ).

tcf(c_541,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_378,c_287,c_280,c_279,c_268,c_378]) ).

tcf(c_544,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_287,c_280,c_279,c_268,c_384]) ).

tcf(c_562,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp26
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_287,c_280,c_279,c_268,c_392]) ).

tcf(c_571,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp19
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_287,c_280,c_279,c_268,c_389]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_287,c_280,c_279,c_268,c_385]) ).

tcf(c_586,plain,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_287,c_280,c_279,c_268,c_401]) ).

tcf(c_587,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_586]) ).

tcf(c_595,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp19
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_287,c_280,c_279,c_268,c_398]) ).

tcf(c_596,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp19
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_595]) ).

tcf(c_604,plain,
    ! [X0: $i] :
      ( hskp6
      | hskp3
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_287,c_280,c_279,c_268,c_395]) ).

tcf(c_605,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp3
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_604]) ).

tcf(c_607,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp17
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_287,c_280,c_279,c_268,c_394]) ).

tcf(c_608,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp17
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_607]) ).

tcf(c_622,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_287,c_280,c_279,c_268,c_406]) ).

tcf(c_624,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_287,c_280,c_279,c_268,c_405]) ).

tcf(c_628,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_409,c_287,c_280,c_279,c_268,c_409]) ).

tcf(c_629,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_628]) ).

tcf(c_632,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_287,c_280,c_279,c_268,c_407]) ).

tcf(c_633,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_632]) ).

tcf(c_634,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_287,c_280,c_279,c_268,c_425]) ).

tcf(c_635,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_634]) ).

tcf(c_637,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_287,c_280,c_279,c_268,c_424]) ).

tcf(c_638,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_637]) ).

tcf(c_645,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_287,c_280,c_279,c_268,c_420]) ).

tcf(c_646,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_645]) ).

tcf(c_647,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_287,c_280,c_279,c_268,c_419]) ).

tcf(c_648,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_647]) ).

tcf(c_651,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_417,c_287,c_280,c_279,c_268,c_417]) ).

tcf(c_652,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_651]) ).

tcf(c_658,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_414,c_287,c_280,c_279,c_268,c_414]) ).

tcf(c_659,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_658]) ).

tcf(c_660,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_287,c_280,c_279,c_268,c_413]) ).

tcf(c_661,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_660]) ).

tcf(c_664,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_287,c_280,c_279,c_268,c_411]) ).

tcf(c_665,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_664]) ).

tcf(c_666,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_287,c_280,c_279,c_268,c_433]) ).

tcf(c_667,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_666]) ).

tcf(c_668,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_287,c_280,c_279,c_268,c_432]) ).

tcf(c_669,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_668]) ).

tcf(c_670,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_431,c_481]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_670]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_287,c_280,c_279,c_268,c_430]) ).

tcf(c_673,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_672]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_429,c_287,c_280,c_279,c_268,c_429]) ).

tcf(c_676,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_675]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_287,c_280,c_279,c_268,c_428]) ).

tcf(c_678,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_681,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_426,c_287,c_280,c_279,c_268,c_426]) ).

tcf(c_682,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_681]) ).

tcf(c_688,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_287,c_280,c_279,c_268,c_435]) ).

tcf(c_689,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_688]) ).

tcf(c_690,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_287,c_280,c_279,c_268,c_439]) ).

tcf(c_691,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_690]) ).

tcf(c_692,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_287,c_280,c_279,c_268,c_438]) ).

tcf(c_693,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_692]) ).

tcf(c_694,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_287,c_280,c_279,c_268,c_437]) ).

tcf(c_695,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_694]) ).

tcf(c_698,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_440,c_287,c_280,c_279,c_268,c_440]) ).

tcf(c_699,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_698]) ).

tcf(c_700,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_287,c_280,c_279,c_268,c_445]) ).

tcf(c_701,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_700]) ).

tcf(c_702,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_287,c_280,c_279,c_268,c_444]) ).

tcf(c_703,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_702]) ).

tcf(c_704,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_443,c_287,c_280,c_279,c_268,c_443]) ).

tcf(c_705,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_704]) ).

tcf(c_706,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_287,c_280,c_279,c_268,c_442]) ).

tcf(c_707,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_706]) ).

tcf(c_708,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_447,c_287,c_280,c_279,c_268,c_447]) ).

tcf(c_709,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_708]) ).

tcf(c_710,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_287,c_280,c_279,c_268,c_446]) ).

tcf(c_711,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_710]) ).

tcf(c_712,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_287,c_280,c_279,c_268,c_448]) ).

tcf(c_713,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_712]) ).

tcf(c_2061,plain,
    ( hskp19
    | ~ c0_1(a320) ),
    inference(resolution,[status(thm)],[c_250,c_334]) ).

tcf(c_2068,plain,
    ( hskp19
    | c3_1(a320) ),
    inference(resolution,[status(thm)],[c_250,c_301]) ).

tcf(c_2075,plain,
    ( hskp19
    | c2_1(a320) ),
    inference(resolution,[status(thm)],[c_250,c_300]) ).

tcf(c_2358,plain,
    ( hskp4
    | hskp20
    | ~ c3_1(a274) ),
    inference(resolution,[status(thm)],[c_283,c_338]) ).

tcf(c_2368,plain,
    ( hskp4
    | hskp20
    | ~ c0_1(a274) ),
    inference(resolution,[status(thm)],[c_283,c_337]) ).

tcf(c_2378,plain,
    ( hskp4
    | hskp20
    | c1_1(a274) ),
    inference(resolution,[status(thm)],[c_283,c_303]) ).

tcf(c_2463,plain,
    ( hskp12
    | hskp16
    | ~ c1_1(a239) ),
    inference(resolution,[status(thm)],[c_286,c_355]) ).

tcf(c_2473,plain,
    ( hskp12
    | hskp16
    | c3_1(a239) ),
    inference(resolution,[status(thm)],[c_286,c_316]) ).

tcf(c_2483,plain,
    ( hskp12
    | hskp16
    | c2_1(a239) ),
    inference(resolution,[status(thm)],[c_286,c_315]) ).

tcf(c_3588,plain,
    ( hskp3
    | ~ c3_1(a245) ),
    inference(resolution,[status(thm)],[c_249,c_350]) ).

tcf(c_3595,plain,
    ( hskp3
    | ~ c1_1(a245) ),
    inference(resolution,[status(thm)],[c_249,c_349]) ).

tcf(c_3602,plain,
    ( hskp3
    | c0_1(a245) ),
    inference(resolution,[status(thm)],[c_249,c_312]) ).

tcf(c_4197,plain,
    ! [X0: $i] :
      ( hskp6
      | c3_1(X0)
      | ~ c0_1(a223)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_587,c_364]) ).

tcf(c_4198,plain,
    ( hskp6
    | c3_1(a213)
    | ~ c2_1(a213)
    | ~ c0_1(a213)
    | ~ c0_1(a223) ),
    inference(instantiation,[status(thm)],[c_4197]) ).

tcf(c_4231,plain,
    ! [X0: $i] :
      ( hskp6
      | c1_1(a223)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_587,c_324]) ).

tcf(c_4232,plain,
    ( hskp6
    | c1_1(a223)
    | c3_1(a213)
    | ~ c2_1(a213)
    | ~ c0_1(a213) ),
    inference(instantiation,[status(thm)],[c_4231]) ).

tcf(c_4452,plain,
    ( hskp17
    | hskp18
    | c3_1(a261) ),
    inference(resolution,[status(thm)],[c_285,c_296]) ).

tcf(c_4462,plain,
    ( hskp17
    | hskp18
    | c2_1(a261) ),
    inference(resolution,[status(thm)],[c_285,c_295]) ).

tcf(c_4472,plain,
    ( hskp17
    | hskp18
    | c1_1(a261) ),
    inference(resolution,[status(thm)],[c_285,c_294]) ).

tcf(c_17504,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_713]) ).

tcf(c_17505,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_713]) ).

tcf(c_17506,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_713]) ).

tcf(c_17507,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_713]) ).

tcf(c_17508,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_711]) ).

tcf(c_17510,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_709]) ).

tcf(c_17511,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_709]) ).

tcf(c_17512,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_709]) ).

tcf(c_17513,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_707]) ).

tcf(c_17514,negated_conjecture,
    ( iPr_def_16
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_707]) ).

tcf(c_17515,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_705]) ).

tcf(c_17516,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_705]) ).

tcf(c_17518,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_703]) ).

tcf(c_17519,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_703]) ).

tcf(c_17520,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_703]) ).

tcf(c_17521,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_701]) ).

tcf(c_17523,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_699]) ).

tcf(c_17524,negated_conjecture,
    ( iPr_def_22
    | iPr_def_13
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_699]) ).

tcf(c_17527,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_695]) ).

tcf(c_17528,negated_conjecture,
    ( iPr_def_24
    | iPr_def_15
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_695]) ).

tcf(c_17529,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_693]) ).

tcf(c_17530,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_693]) ).

tcf(c_17531,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_693]) ).

tcf(c_17532,negated_conjecture,
    ( iPr_def_20
    | iPr_def_18
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_691]) ).

tcf(c_17533,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_689]) ).

tcf(c_17538,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_682]) ).

tcf(c_17539,negated_conjecture,
    ( iPr_def_29
    | iPr_def_13
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).

tcf(c_17541,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_678]) ).

tcf(c_17543,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_676]) ).

tcf(c_17544,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_676]) ).

tcf(c_17546,negated_conjecture,
    ( iPr_def_31
    | iPr_def_25
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).

tcf(c_17547,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_671]) ).

tcf(c_17548,negated_conjecture,
    ( iPr_def_33
    | iPr_def_14
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).

tcf(c_17549,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_669]) ).

tcf(c_17550,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_669]) ).

tcf(c_17552,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).

tcf(c_17553,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_665]) ).

tcf(c_17557,negated_conjecture,
    ( iPr_def_22
    | iPr_def_19
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_661]) ).

tcf(c_17558,negated_conjecture,
    ( iPr_def_22
    | iPr_def_19
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).

tcf(c_17561,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_652]) ).

tcf(c_17562,negated_conjecture,
    ( iPr_def_38
    | iPr_def_33
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).

tcf(c_17564,negated_conjecture,
    ( iPr_def_30
    | iPr_def_24
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).

tcf(c_17565,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_646]) ).

tcf(c_17566,negated_conjecture,
    ( iPr_def_39
    | iPr_def_30
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).

tcf(c_17570,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_638]) ).

tcf(c_17571,negated_conjecture,
    ( iPr_def_39
    | iPr_def_14
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).

tcf(c_17572,negated_conjecture,
    ( iPr_def_27
    | iPr_def_17
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).

tcf(c_17574,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).

tcf(c_17576,negated_conjecture,
    ( iPr_def_39
    | iPr_def_36
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).

tcf(c_17577,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_622]) ).

tcf(c_17583,negated_conjecture,
    ( iPr_def_30
    | hskp10
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).

tcf(c_17584,negated_conjecture,
    ( iPr_def_31
    | hskp6
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).

tcf(c_17587,negated_conjecture,
    ( iPr_def_34
    | hskp1
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_596]) ).

tcf(c_17590,negated_conjecture,
    ( iPr_def_35
    | hskp6
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).

tcf(c_17591,negated_conjecture,
    ( iPr_def_13
    | hskp6
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_17596,negated_conjecture,
    ( iPr_def_26
    | hskp18
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_571]) ).

tcf(c_17599,negated_conjecture,
    ( iPr_def_21
    | hskp9
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).

tcf(c_17605,negated_conjecture,
    ( iPr_def_40
    | hskp2
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_544]) ).

tcf(c_17610,plain,
    ( c1_1(a213)
    | c0_1(a213)
    | ~ iPr_def_13
    | ~ c2_1(a213) ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_17611,plain,
    ( c1_1(a213)
    | c3_1(a213)
    | ~ iPr_def_18
    | ~ c2_1(a213) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

tcf(c_17612,plain,
    ( c1_1(a213)
    | c3_1(a213)
    | ~ iPr_def_20
    | ~ c0_1(a213) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

tcf(c_17620,plain,
    ( c3_1(a213)
    | c0_1(a213)
    | ~ iPr_def_38
    | ~ c2_1(a213) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

tcf(c_17631,plain,
    ( c1_1(a213)
    | ~ iPr_def_33
    | ~ c2_1(a213)
    | ~ c0_1(a213) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_17633,plain,
    ( c3_1(a213)
    | ~ iPr_def_35
    | ~ c2_1(a213)
    | ~ c0_1(a213) ),
    inference(instantiation,[status(thm)],[c_17550]) ).

tcf(c_17638,plain,
    ( hskp0
    | c1_1(a271)
    | c2_1(a271)
    | c0_1(a271) ),
    inference(instantiation,[status(thm)],[c_541]) ).

tcf(c_17639,plain,
    ( hskp0
    | c1_1(a255)
    | c2_1(a255)
    | c0_1(a255) ),
    inference(instantiation,[status(thm)],[c_541]) ).

tcf(c_17647,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a234)
    | ~ c3_1(a234)
    | ~ c2_1(a234) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

tcf(c_17650,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a231)
    | ~ c3_1(a231)
    | ~ c2_1(a231) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

tcf(c_17653,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a234)
    | ~ c2_1(a234)
    | ~ c0_1(a234) ),
    inference(instantiation,[status(thm)],[c_17506]) ).

tcf(c_17660,plain,
    ( c1_1(a255)
    | c0_1(a255)
    | ~ iPr_def_13
    | ~ c2_1(a255) ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_17667,plain,
    ( c1_1(a215)
    | c0_1(a215)
    | ~ iPr_def_13
    | ~ c2_1(a215) ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_17669,plain,
    ( c1_1(a255)
    | c3_1(a255)
    | ~ iPr_def_18
    | ~ c2_1(a255) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

tcf(c_17670,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ iPr_def_18
    | ~ c2_1(a252) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

tcf(c_17671,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ iPr_def_18
    | ~ c2_1(a245) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

tcf(c_17679,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ iPr_def_20
    | ~ c0_1(a252) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

tcf(c_17680,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ iPr_def_20
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

tcf(c_17681,plain,
    ( c1_1(a237)
    | c3_1(a237)
    | ~ iPr_def_20
    | ~ c0_1(a237) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

tcf(c_17693,plain,
    ( c2_1(a216)
    | ~ iPr_def_14
    | ~ c1_1(a216)
    | ~ c0_1(a216) ),
    inference(instantiation,[status(thm)],[c_17510]) ).

tcf(c_17697,plain,
    ( c1_1(a217)
    | c3_1(a217)
    | ~ iPr_def_20
    | ~ c0_1(a217) ),
    inference(instantiation,[status(thm)],[c_17519]) ).

tcf(c_17700,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a320)
    | ~ c3_1(a320)
    | ~ c2_1(a320) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

tcf(c_17710,plain,
    ( c2_1(a248)
    | c0_1(a248)
    | ~ iPr_def_22
    | ~ c3_1(a248) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

tcf(c_17712,plain,
    ( c2_1(a231)
    | c0_1(a231)
    | ~ iPr_def_22
    | ~ c3_1(a231) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

tcf(c_17714,plain,
    ( c2_1(a218)
    | c0_1(a218)
    | ~ iPr_def_22
    | ~ c3_1(a218) ),
    inference(instantiation,[status(thm)],[c_17523]) ).

tcf(c_17720,plain,
    ( c0_1(a214)
    | ~ iPr_def_30
    | ~ c1_1(a214)
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_17541]) ).

tcf(c_17726,plain,
    ( ~ iPr_def_29
    | ~ c1_1(a234)
    | ~ c3_1(a234)
    | ~ c0_1(a234) ),
    inference(instantiation,[status(thm)],[c_17538]) ).

tcf(c_17733,plain,
    ( c3_1(a255)
    | c0_1(a255)
    | ~ iPr_def_38
    | ~ c2_1(a255) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

tcf(c_17738,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ iPr_def_38
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

tcf(c_17746,plain,
    ( c2_1(a234)
    | ~ iPr_def_14
    | ~ c1_1(a234)
    | ~ c0_1(a234) ),
    inference(instantiation,[status(thm)],[c_17510]) ).

tcf(c_17762,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a252)
    | ~ c2_1(a252)
    | ~ c0_1(a252) ),
    inference(instantiation,[status(thm)],[c_17506]) ).

tcf(c_17798,plain,
    ( c1_1(a252)
    | ~ iPr_def_33
    | ~ c2_1(a252)
    | ~ c0_1(a252) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_17821,plain,
    ( c3_1(a217)
    | c2_1(a217)
    | c0_1(a217)
    | ~ iPr_def_27 ),
    inference(instantiation,[status(thm)],[c_17533]) ).

tcf(c_17827,plain,
    ( c1_1(a252)
    | ~ iPr_def_34
    | ~ c3_1(a252)
    | ~ c0_1(a252) ),
    inference(instantiation,[status(thm)],[c_17549]) ).

tcf(c_17838,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a234)
    | ~ c2_1(a234)
    | ~ c0_1(a234) ),
    inference(instantiation,[status(thm)],[c_17504]) ).

tcf(c_17852,plain,
    ( c3_1(a242)
    | c2_1(a242)
    | ~ iPr_def_21
    | ~ c1_1(a242) ),
    inference(instantiation,[status(thm)],[c_17521]) ).

tcf(c_17858,plain,
    ( c3_1(a216)
    | c2_1(a216)
    | ~ iPr_def_21
    | ~ c1_1(a216) ),
    inference(instantiation,[status(thm)],[c_17521]) ).

tcf(c_17868,plain,
    ( c3_1(a282)
    | ~ iPr_def_15
    | ~ c1_1(a282)
    | ~ c0_1(a282) ),
    inference(instantiation,[status(thm)],[c_17511]) ).

tcf(c_17870,plain,
    ( c3_1(a257)
    | ~ iPr_def_15
    | ~ c1_1(a257)
    | ~ c0_1(a257) ),
    inference(instantiation,[status(thm)],[c_17511]) ).

tcf(c_17873,plain,
    ( c3_1(a237)
    | ~ iPr_def_15
    | ~ c1_1(a237)
    | ~ c0_1(a237) ),
    inference(instantiation,[status(thm)],[c_17511]) ).

tcf(c_17876,plain,
    ( c3_1(a216)
    | ~ iPr_def_15
    | ~ c1_1(a216)
    | ~ c0_1(a216) ),
    inference(instantiation,[status(thm)],[c_17511]) ).

tcf(c_17888,plain,
    ( c1_1(a320)
    | c0_1(a320)
    | ~ iPr_def_13
    | ~ c2_1(a320) ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_17894,plain,
    ( c3_1(a223)
    | ~ iPr_def_19
    | ~ c1_1(a223)
    | ~ c2_1(a223) ),
    inference(instantiation,[status(thm)],[c_17518]) ).

tcf(c_17895,plain,
    ( c3_1(a220)
    | ~ iPr_def_19
    | ~ c1_1(a220)
    | ~ c2_1(a220) ),
    inference(instantiation,[status(thm)],[c_17518]) ).

tcf(c_17903,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a282)
    | ~ c3_1(a282)
    | ~ c2_1(a282) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

tcf(c_17917,plain,
    ( c1_1(a226)
    | c2_1(a226)
    | ~ iPr_def_26
    | ~ c0_1(a226) ),
    inference(instantiation,[status(thm)],[c_17530]) ).

tcf(c_17918,plain,
    ( c1_1(a218)
    | c2_1(a218)
    | ~ iPr_def_26
    | ~ c0_1(a218) ),
    inference(instantiation,[status(thm)],[c_17530]) ).

tcf(c_17927,plain,
    ( ~ iPr_def_11
    | ~ c1_1(a261)
    | ~ c3_1(a261)
    | ~ c2_1(a261) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

tcf(c_17929,plain,
    ( c0_1(a320)
    | ~ iPr_def_31
    | ~ c1_1(a320)
    | ~ c3_1(a320) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17932,plain,
    ( c0_1(a231)
    | ~ iPr_def_31
    | ~ c1_1(a231)
    | ~ c3_1(a231) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17934,plain,
    ( c0_1(a223)
    | ~ iPr_def_31
    | ~ c1_1(a223)
    | ~ c3_1(a223) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17936,plain,
    ( c0_1(a248)
    | ~ iPr_def_31
    | ~ c1_1(a248)
    | ~ c3_1(a248) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_17937,plain,
    ( c1_1(a226)
    | c2_1(a226)
    | ~ iPr_def_24
    | ~ c3_1(a226) ),
    inference(instantiation,[status(thm)],[c_17527]) ).

tcf(c_17938,plain,
    ( c1_1(a218)
    | c2_1(a218)
    | ~ iPr_def_24
    | ~ c3_1(a218) ),
    inference(instantiation,[status(thm)],[c_17527]) ).

tcf(c_17942,plain,
    ( c1_1(a320)
    | ~ iPr_def_32
    | ~ c3_1(a320)
    | ~ c2_1(a320) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_17947,plain,
    ( c3_1(a220)
    | c0_1(a220)
    | ~ iPr_def_38
    | ~ c2_1(a220) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

tcf(c_17956,plain,
    ( c3_1(a215)
    | c0_1(a215)
    | ~ iPr_def_38
    | ~ c2_1(a215) ),
    inference(instantiation,[status(thm)],[c_17561]) ).

tcf(c_17969,plain,
    ( c3_1(a245)
    | c2_1(a245)
    | ~ iPr_def_39
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17565]) ).

tcf(c_17976,plain,
    ( c3_1(a226)
    | c2_1(a226)
    | ~ iPr_def_39
    | ~ c0_1(a226) ),
    inference(instantiation,[status(thm)],[c_17565]) ).

tcf(c_18019,plain,
    ( c1_1(a215)
    | ~ iPr_def_32
    | ~ c3_1(a215)
    | ~ c2_1(a215) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_18035,plain,
    ( c2_1(a248)
    | ~ iPr_def_25
    | ~ c1_1(a248)
    | ~ c3_1(a248) ),
    inference(instantiation,[status(thm)],[c_17529]) ).

tcf(c_18037,plain,
    ( c2_1(a231)
    | ~ iPr_def_25
    | ~ c1_1(a231)
    | ~ c3_1(a231) ),
    inference(instantiation,[status(thm)],[c_17529]) ).

tcf(c_18039,plain,
    ( c2_1(a216)
    | ~ iPr_def_25
    | ~ c1_1(a216)
    | ~ c3_1(a216) ),
    inference(instantiation,[status(thm)],[c_17529]) ).

tcf(c_18042,plain,
    ( c3_1(a214)
    | ~ iPr_def_19
    | ~ c1_1(a214)
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_17518]) ).

tcf(c_18046,plain,
    ( c1_1(a255)
    | c3_1(a255)
    | c0_1(a255)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_17553]) ).

tcf(c_18049,plain,
    ( c1_1(a255)
    | c3_1(a255)
    | c2_1(a255)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17577]) ).

tcf(c_18087,plain,
    ( ~ iPr_def_29
    | ~ c1_1(a216)
    | ~ c3_1(a216)
    | ~ c0_1(a216) ),
    inference(instantiation,[status(thm)],[c_17538]) ).

tcf(c_18114,plain,
    ( c2_1(a234)
    | ~ iPr_def_16
    | ~ c3_1(a234)
    | ~ c0_1(a234) ),
    inference(instantiation,[status(thm)],[c_17513]) ).

tcf(c_18117,plain,
    ( c2_1(a248)
    | ~ iPr_def_16
    | ~ c3_1(a248)
    | ~ c0_1(a248) ),
    inference(instantiation,[status(thm)],[c_17513]) ).

tcf(c_18122,plain,
    ( c2_1(a216)
    | ~ iPr_def_16
    | ~ c3_1(a216)
    | ~ c0_1(a216) ),
    inference(instantiation,[status(thm)],[c_17513]) ).

tcf(c_18146,plain,
    ( c1_1(a214)
    | c3_1(a214)
    | ~ iPr_def_18
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_17516]) ).

tcf(c_18147,plain,
    ( c1_1(a214)
    | c0_1(a214)
    | ~ iPr_def_13
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_18178,plain,
    ( c1_1(a245)
    | c2_1(a245)
    | ~ iPr_def_26
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17530]) ).

tcf(c_18181,plain,
    ( c1_1(a245)
    | ~ iPr_def_33
    | ~ c2_1(a245)
    | ~ c0_1(a245) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_18327,plain,
    ( c1_1(a261)
    | ~ iPr_def_32
    | ~ c3_1(a261)
    | ~ c2_1(a261) ),
    inference(instantiation,[status(thm)],[c_17544]) ).

tcf(c_18352,plain,
    ( c0_1(a242)
    | ~ iPr_def_31
    | ~ c1_1(a242)
    | ~ c3_1(a242) ),
    inference(instantiation,[status(thm)],[c_17543]) ).

tcf(c_18389,plain,
    ( c3_1(a274)
    | c2_1(a274)
    | ~ iPr_def_21
    | ~ c1_1(a274) ),
    inference(instantiation,[status(thm)],[c_17521]) ).

tcf(c_18400,plain,
    ( c0_1(a274)
    | ~ iPr_def_30
    | ~ c1_1(a274)
    | ~ c2_1(a274) ),
    inference(instantiation,[status(thm)],[c_17541]) ).

tcf(c_18404,plain,
    ( c0_1(a223)
    | ~ iPr_def_30
    | ~ c1_1(a223)
    | ~ c2_1(a223) ),
    inference(instantiation,[status(thm)],[c_17541]) ).

tcf(c_18405,plain,
    ( c0_1(a220)
    | ~ iPr_def_30
    | ~ c1_1(a220)
    | ~ c2_1(a220) ),
    inference(instantiation,[status(thm)],[c_17541]) ).

tcf(c_18417,plain,
    ( c0_1(a239)
    | ~ iPr_def_17
    | ~ c3_1(a239)
    | ~ c2_1(a239) ),
    inference(instantiation,[status(thm)],[c_17515]) ).

tcf(c_18486,plain,
    ( c3_1(a220)
    | ~ iPr_def_15
    | ~ c1_1(a220)
    | ~ c0_1(a220) ),
    inference(instantiation,[status(thm)],[c_17511]) ).

tcf(c_18525,plain,
    ( c1_1(a239)
    | ~ iPr_def_33
    | ~ c2_1(a239)
    | ~ c0_1(a239) ),
    inference(instantiation,[status(thm)],[c_17547]) ).

tcf(c_18563,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18525,c_18486,c_18417,c_18405,c_18404,c_18400,c_18389,c_18352,c_18327,c_18178,c_18181,c_18146,c_18147,c_18122,c_18117,c_18114,c_18087,c_18046,c_18049,c_18042,c_18039,c_18037,c_18035,c_18019,c_17976,c_17969,c_17956,c_17947,c_17942,c_17938,c_17937,c_17936,c_17934,c_17932,c_17929,c_17927,c_17918,c_17917,c_17903,c_17895,c_17894,c_17888,c_17876,c_17873,c_17870,c_17868,c_17858,c_17852,c_17838,c_17827,c_17821,c_17798,c_17762,c_17746,c_17738,c_17733,c_17726,c_17720,c_17714,c_17712,c_17710,c_17700,c_17697,c_17693,c_17681,c_17680,c_17679,c_17671,c_17670,c_17669,c_17667,c_17660,c_17653,c_17650,c_17647,c_17639,c_17638,c_17633,c_17631,c_17620,c_17612,c_17611,c_17610,c_17605,c_17599,c_17596,c_17591,c_17590,c_17587,c_17584,c_17583,c_17576,c_17574,c_17572,c_17571,c_17570,c_17566,c_17564,c_17562,c_17558,c_17557,c_17552,c_17548,c_17546,c_17539,c_17532,c_17531,c_17528,c_17524,c_17520,c_17514,c_17512,c_17507,c_4472,c_4462,c_4452,c_4232,c_4198,c_3602,c_3595,c_3588,c_2483,c_2473,c_2463,c_2378,c_2368,c_2358,c_2075,c_2068,c_2061,c_481,c_464,c_339,c_340,c_341,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_356,c_359,c_360,c_361,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_377,c_291,c_292,c_293,c_295,c_296,c_297,c_298,c_299,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_317,c_320,c_321,c_322,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_284]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN503-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n003.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Fri Sep 25 01:35:53 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running EPR theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.45  % Proving...
% 7.16/1.74  % SZS status Started for theBenchmark.p
% 7.16/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 7.16/1.74  
% 7.16/1.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.16/1.74  
% 7.16/1.74  % ------  iProver source info
% 7.16/1.74  
% 7.16/1.74  % git: date: 2026-07-19 20:42:38 +0200
% 7.16/1.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.16/1.74  % git: non_committed_changes: false
% 7.16/1.74  
% 7.16/1.74  % ------ Parsing...% successful
% 7.16/1.74  
% 7.16/1.74  
% 7.16/1.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 7.16/1.74  % 
% 7.16/1.74  
% 7.16/1.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 7.16/1.74  
% 7.16/1.74  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 7.16/1.74   gs_s  sp: 127 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.16/1.74  % ------ Proving...
% 7.16/1.74  % ------ Problem Properties 
% 7.16/1.74  
% 7.16/1.74  % 
% 7.16/1.74  % clauses                               201
% 7.16/1.74  % conjectures                           198
% 7.16/1.74  % EPR                                   201
% 7.16/1.74  % Horn                                  104
% 7.16/1.74  % unary                                 0
% 7.16/1.74  % binary                                91
% 7.16/1.74  % lits                                  544
% 7.16/1.74  % lits eq                               0
% 7.16/1.74  % fd_pure                               0
% 7.16/1.74  % fd_pseudo                             0
% 7.16/1.74  % fd_cond                               0
% 7.16/1.74  % fd_pseudo_cond                        0
% 7.16/1.74  % AC symbols                            0
% 7.16/1.74  
% 7.16/1.74  % ------ Schedule EPR non Horn non eq is on
% 7.16/1.74  
% 7.16/1.74  % ------ no equalities: superposition off 
% 7.16/1.74  
% 7.16/1.74  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 7.16/1.74  
% 7.16/1.74  
% 7.16/1.74  % ------ 
% 7.16/1.74  % Current options:
% 7.16/1.74  % ------ 
% 7.16/1.74  
% 7.16/1.74  
% 7.16/1.74  % 
% 7.16/1.74  
% 7.16/1.74  % ------ Proving...
% 7.16/1.74  % 
% 7.16/1.74  
% 7.16/1.74  % SZS status Unsatisfiable for theBenchmark.p
% 7.16/1.74  
% 7.16/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.16/1.75  
% 7.16/1.75  
%------------------------------------------------------------------------------