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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN487-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n009.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 03:40:30 PM UTC 2026

% Result   : Unsatisfiable 4.07s 1.59s
% Output   : CNFRefutation 5.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :  125
% Syntax   : Number of formulae    :  506 (   2 unt;   0 def)
%            Number of atoms       : 2112 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2682 (1076   ~;1606   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 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    :   25 (  25 usr;  25 con; 0-0 aty)
%            Number of variables   :  300 (   0 sgn 300   !;   0   ?; 230   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f26,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

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

fof(f33,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f35,negated_conjecture,
    ( hskp16
    | hskp26
    | hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( hskp0
    | hskp12
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f47,negated_conjecture,
    ( c1_1(a2315)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c2_1(a2315)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c3_1(a2315)
    | ~ hskp30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c0_1(a2309)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c1_1(a2309)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c2_1(a2309)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c0_1(a2278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c1_1(a2278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f55,negated_conjecture,
    ( c3_1(a2278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( c1_1(a2367)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c2_1(a2367)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f58,negated_conjecture,
    ( c3_1(a2345)
    | ~ hskp26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

fof(f59,negated_conjecture,
    ( c0_1(a2342)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c3_1(a2342)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f63,negated_conjecture,
    ( c3_1(a2327)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f65,negated_conjecture,
    ( c1_1(a2324)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

fof(f66,negated_conjecture,
    ( c2_1(a2323)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c3_1(a2323)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f68,negated_conjecture,
    ( c1_1(a2316)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

fof(f72,negated_conjecture,
    ( c2_1(a2302)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f73,negated_conjecture,
    ( c3_1(a2302)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c2_1(a2299)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c0_1(a2295)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c0_1(a2294)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c0_1(a2293)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c2_1(a2293)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c0_1(a2287)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c2_1(a2287)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c1_1(a2286)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c0_1(a2285)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c1_1(a2285)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c2_1(a2282)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c1_1(a2280)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,negated_conjecture,
    ( c3_1(a2280)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( c0_1(a2279)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( c0_1(a2277)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ( c1_1(a2277)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ( c1_1(a2276)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ( c3_1(a2276)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a2367) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f93,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

fof(f94,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a2345) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2342) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f97,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a2327) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f101,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a2324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2324) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2323) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a2316) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f108,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a2306) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f111,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a2304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2304) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f115,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a2302) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a2299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a2299) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a2295) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a2294) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2293) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f126,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a2287) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a2286) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a2286) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a2285) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f133,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a2282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a2282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f135,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a2280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a2279) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2279) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2277) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2276) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp10
      | hskp6
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

fof(f144,negated_conjecture,
    ! [X0] :
      ( hskp12
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f146,negated_conjecture,
    ! [X0] :
      ( hskp12
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

fof(f147,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

fof(f148,negated_conjecture,
    ! [X0] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp14
      | hskp1
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f154,negated_conjecture,
    ! [X0] :
      ( hskp20
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

fof(f157,negated_conjecture,
    ! [X0] :
      ( hskp17
      | hskp14
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f159,negated_conjecture,
    ! [X0] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

fof(f162,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

fof(f165,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp12
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp21
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp2
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X0] :
      ( hskp16
      | hskp30
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f170,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp7
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f173,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp25
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f176,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

fof(f177,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

fof(f179,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f180,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c3_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

fof(f181,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f182,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f183,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X0,X1] :
      ( hskp17
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

fof(f186,negated_conjecture,
    ! [X0,X1] :
      ( hskp30
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

fof(f187,negated_conjecture,
    ! [X0,X1] :
      ( hskp19
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).

fof(f188,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).

fof(f189,negated_conjecture,
    ! [X0,X1] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

fof(f191,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

fof(f193,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

fof(f194,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).

fof(f196,negated_conjecture,
    ! [X0,X1] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).

fof(f197,negated_conjecture,
    ! [X0,X1] :
      ( hskp18
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).

fof(f198,negated_conjecture,
    ! [X0,X1] :
      ( hskp3
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

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

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

fof(f201,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

fof(f202,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

fof(f203,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

tcf(c_271,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_277,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_283,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_284,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp29 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_286,negated_conjecture,
    ( hskp16
    | hskp26
    | hskp28 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_287,negated_conjecture,
    ( hskp1
    | hskp14
    | hskp20 ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_288,negated_conjecture,
    ( hskp6
    | hskp11
    | hskp30 ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_289,negated_conjecture,
    ( hskp0
    | hskp6
    | hskp12 ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_298,negated_conjecture,
    ( c1_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_299,negated_conjecture,
    ( c2_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_300,negated_conjecture,
    ( c3_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_301,negated_conjecture,
    ( c0_1(a2309)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a2309)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_303,negated_conjecture,
    ( c2_1(a2309)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_304,negated_conjecture,
    ( c0_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_305,negated_conjecture,
    ( c1_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_306,negated_conjecture,
    ( c3_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_307,negated_conjecture,
    ( c1_1(a2367)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_308,negated_conjecture,
    ( c2_1(a2367)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_309,negated_conjecture,
    ( c3_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_310,negated_conjecture,
    ( c0_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_311,negated_conjecture,
    ( c3_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_314,negated_conjecture,
    ( c3_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_316,negated_conjecture,
    ( c1_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_317,negated_conjecture,
    ( c2_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_318,negated_conjecture,
    ( c3_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_319,negated_conjecture,
    ( c1_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_323,negated_conjecture,
    ( c2_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_324,negated_conjecture,
    ( c3_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_325,negated_conjecture,
    ( c2_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_326,negated_conjecture,
    ( c0_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_327,negated_conjecture,
    ( c0_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_328,negated_conjecture,
    ( c0_1(a2293)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_329,negated_conjecture,
    ( c2_1(a2293)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_330,negated_conjecture,
    ( c0_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_331,negated_conjecture,
    ( c2_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_332,negated_conjecture,
    ( c1_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_333,negated_conjecture,
    ( c0_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_334,negated_conjecture,
    ( c1_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_335,negated_conjecture,
    ( c2_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_336,negated_conjecture,
    ( c1_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_337,negated_conjecture,
    ( c3_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_338,negated_conjecture,
    ( c0_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_339,negated_conjecture,
    ( c0_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_340,negated_conjecture,
    ( c1_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_341,negated_conjecture,
    ( c1_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_342,negated_conjecture,
    ( c3_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a2367) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a2345) ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a2345) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2342) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_348,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a2327) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a2327) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_352,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a2324) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2324) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2323) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a2316) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a2316) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2306) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a2306) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a2306) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a2304) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_363,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2304) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_364,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2304) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a2302) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_367,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a2299) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_368,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a2299) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_369,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2295) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_370,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a2295) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_371,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2294) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_372,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a2294) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_373,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2293) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_377,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a2287) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_378,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a2286) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_379,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a2286) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_380,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a2285) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_384,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a2282) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_385,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a2282) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_386,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a2280) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_387,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a2279) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_388,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2279) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_389,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2277) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_390,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2276) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp3
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp21
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp30
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp19
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp25
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_432,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_449,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_463,plain,
    ( hskp20
    | c0_1(a2276)
    | ~ ndr1_0
    | ~ c3_1(a2276)
    | ~ c2_1(a2276) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_495,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_283,c_289,c_283,c_277,c_271]) ).

tcf(c_559,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_289,c_283,c_277,c_271,c_397]) ).

tcf(c_565,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp12
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_289,c_283,c_277,c_271,c_395]) ).

tcf(c_568,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp10
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_289,c_283,c_277,c_271,c_394]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp3
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_289,c_283,c_277,c_271,c_391]) ).

tcf(c_583,plain,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_405,c_289,c_283,c_277,c_271,c_405]) ).

tcf(c_584,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_583]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_289,c_283,c_277,c_271,c_404]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_402,c_289,c_283,c_277,c_271,c_402]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp8
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_289,c_283,c_277,c_271,c_399]) ).

tcf(c_604,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_289,c_283,c_277,c_271,c_398]) ).

tcf(c_607,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp19
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_421,c_289,c_283,c_277,c_271,c_421]) ).

tcf(c_608,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp19
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_607]) ).

tcf(c_610,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp30
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_420,c_289,c_283,c_277,c_271,c_420]) ).

tcf(c_611,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp30
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_610]) ).

tcf(c_613,plain,
    ! [X0: $i] :
      ( hskp2
      | hskp4
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_289,c_283,c_277,c_271,c_419]) ).

tcf(c_614,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp4
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_613]) ).

tcf(c_616,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp21
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_418,c_289,c_283,c_277,c_271,c_418]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp21
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_622,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp19
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_289,c_283,c_277,c_271,c_416]) ).

tcf(c_623,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp19
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_622]) ).

tcf(c_631,plain,
    ! [X0: $i] :
      ( hskp1
      | hskp4
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_289,c_283,c_277,c_271,c_413]) ).

tcf(c_632,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp4
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_631]) ).

tcf(c_640,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_289,c_283,c_277,c_271,c_410]) ).

tcf(c_641,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp13
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_640]) ).

tcf(c_646,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_289,c_283,c_277,c_271,c_408]) ).

tcf(c_647,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp17
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_646]) ).

tcf(c_655,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp25
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_289,c_283,c_277,c_271,c_425]) ).

tcf(c_656,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp25
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_655]) ).

tcf(c_658,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp8
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_424,c_289,c_283,c_277,c_271,c_424]) ).

tcf(c_659,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp8
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_658]) ).

tcf(c_669,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_428,c_289,c_283,c_277,c_271,c_428]) ).

tcf(c_671,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_427,c_289,c_283,c_277,c_271,c_427]) ).

tcf(c_674,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_432,c_289,c_283,c_277,c_271,c_432]) ).

tcf(c_675,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_674]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_431,c_289,c_283,c_277,c_271,c_431]) ).

tcf(c_678,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_677]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_430,c_289,c_283,c_277,c_271,c_430]) ).

tcf(c_680,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_679]) ).

tcf(c_683,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | 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_440,c_289,c_283,c_277,c_271,c_440]) ).

tcf(c_684,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_683]) ).

tcf(c_686,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_439,c_289,c_283,c_277,c_271,c_439]) ).

tcf(c_687,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_686]) ).

tcf(c_688,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_438,c_289,c_283,c_277,c_271,c_438]) ).

tcf(c_689,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_688]) ).

tcf(c_690,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_437,c_289,c_283,c_277,c_271,c_437]) ).

tcf(c_691,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_690]) ).

tcf(c_694,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_435,c_289,c_283,c_277,c_271,c_435]) ).

tcf(c_695,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_694]) ).

tcf(c_696,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_434,c_289,c_283,c_277,c_271,c_434]) ).

tcf(c_697,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_696]) ).

tcf(c_698,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_433,c_289,c_283,c_277,c_271,c_433]) ).

tcf(c_699,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_698]) ).

tcf(c_700,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | 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_447,c_289,c_283,c_277,c_271,c_447]) ).

tcf(c_701,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_700]) ).

tcf(c_704,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_445,c_289,c_283,c_277,c_271,c_445]) ).

tcf(c_705,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_704]) ).

tcf(c_706,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_444,c_444,c_495]) ).

tcf(c_707,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_706]) ).

tcf(c_710,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_442,c_289,c_283,c_277,c_271,c_442]) ).

tcf(c_711,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_710]) ).

tcf(c_713,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_449,c_289,c_283,c_277,c_271,c_449]) ).

tcf(c_714,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_713]) ).

tcf(c_715,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_448,c_289,c_283,c_277,c_271,c_448]) ).

tcf(c_716,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_715]) ).

tcf(c_717,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_450,c_289,c_283,c_277,c_271,c_450]) ).

tcf(c_718,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_717]) ).

tcf(c_719,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_452,c_289,c_283,c_277,c_271,c_452]) ).

tcf(c_720,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_719]) ).

tcf(c_721,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_451,c_289,c_283,c_277,c_271,c_451]) ).

tcf(c_722,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_721]) ).

tcf(c_723,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_453,c_289,c_283,c_277,c_271,c_453]) ).

tcf(c_724,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_723]) ).

tcf(c_725,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_454,c_289,c_283,c_277,c_271,c_454]) ).

tcf(c_726,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_725]) ).

tcf(c_2133,plain,
    ( hskp1
    | hskp14
    | ~ c1_1(a2323) ),
    inference(resolution,[status(thm)],[c_287,c_354]) ).

tcf(c_2143,plain,
    ( hskp1
    | hskp14
    | c3_1(a2323) ),
    inference(resolution,[status(thm)],[c_287,c_318]) ).

tcf(c_2153,plain,
    ( hskp1
    | hskp14
    | c2_1(a2323) ),
    inference(resolution,[status(thm)],[c_287,c_317]) ).

tcf(c_2235,plain,
    ( hskp3
    | hskp29
    | ~ c0_1(a2367) ),
    inference(resolution,[status(thm)],[c_284,c_343]) ).

tcf(c_2245,plain,
    ( hskp3
    | hskp29
    | c2_1(a2367) ),
    inference(resolution,[status(thm)],[c_284,c_308]) ).

tcf(c_2255,plain,
    ( hskp3
    | hskp29
    | c1_1(a2367) ),
    inference(resolution,[status(thm)],[c_284,c_307]) ).

tcf(c_3669,plain,
    ( hskp0
    | hskp12
    | ~ c3_1(a2285) ),
    inference(resolution,[status(thm)],[c_289,c_380]) ).

tcf(c_3689,plain,
    ( hskp0
    | hskp12
    | c0_1(a2285) ),
    inference(resolution,[status(thm)],[c_289,c_333]) ).

tcf(c_3843,plain,
    ! [X0: $i] :
      ( hskp23
      | ~ c2_1(a2342)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_656,c_346]) ).

tcf(c_3844,plain,
    ( hskp23
    | ~ c1_1(a2276)
    | ~ c3_1(a2276)
    | ~ c2_1(a2276)
    | ~ c2_1(a2342) ),
    inference(instantiation,[status(thm)],[c_3843]) ).

tcf(c_3860,plain,
    ! [X0: $i] :
      ( hskp23
      | c3_1(a2342)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_656,c_311]) ).

tcf(c_3861,plain,
    ( hskp23
    | c3_1(a2342)
    | ~ c1_1(a2276)
    | ~ c3_1(a2276)
    | ~ c2_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3860]) ).

tcf(c_3877,plain,
    ! [X0: $i] :
      ( hskp23
      | c0_1(a2342)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_656,c_310]) ).

tcf(c_3878,plain,
    ( hskp23
    | c0_1(a2342)
    | ~ c1_1(a2276)
    | ~ c3_1(a2276)
    | ~ c2_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3877]) ).

tcf(c_4368,plain,
    ( hskp26
    | hskp28
    | ~ c3_1(a2304) ),
    inference(resolution,[status(thm)],[c_286,c_364]) ).

tcf(c_4378,plain,
    ( hskp26
    | hskp28
    | ~ c2_1(a2304) ),
    inference(resolution,[status(thm)],[c_286,c_363]) ).

tcf(c_4388,plain,
    ( hskp26
    | hskp28
    | ~ c0_1(a2304) ),
    inference(resolution,[status(thm)],[c_286,c_362]) ).

tcf(c_6138,plain,
    ( hskp16
    | hskp26
    | c3_1(a2278) ),
    inference(resolution,[status(thm)],[c_286,c_306]) ).

tcf(c_6148,plain,
    ( hskp16
    | hskp26
    | c1_1(a2278) ),
    inference(resolution,[status(thm)],[c_286,c_305]) ).

tcf(c_6158,plain,
    ( hskp16
    | hskp26
    | c0_1(a2278) ),
    inference(resolution,[status(thm)],[c_286,c_304]) ).

tcf(c_6793,plain,
    ( hskp6
    | hskp11
    | c2_1(a2315) ),
    inference(resolution,[status(thm)],[c_288,c_299]) ).

tcf(c_6803,plain,
    ( hskp6
    | hskp11
    | c1_1(a2315) ),
    inference(resolution,[status(thm)],[c_288,c_298]) ).

tcf(c_8124,plain,
    ! [X0: $i] :
      ( hskp17
      | c0_1(X0)
      | ~ c0_1(a2302)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_647,c_366]) ).

tcf(c_8125,plain,
    ( hskp17
    | c0_1(a2276)
    | ~ c1_1(a2276)
    | ~ c3_1(a2276)
    | ~ c0_1(a2302) ),
    inference(instantiation,[status(thm)],[c_8124]) ).

tcf(c_8141,plain,
    ! [X0: $i] :
      ( hskp17
      | c3_1(a2302)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_647,c_324]) ).

tcf(c_8142,plain,
    ( hskp17
    | c3_1(a2302)
    | c0_1(a2276)
    | ~ c1_1(a2276)
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_8141]) ).

tcf(c_8158,plain,
    ! [X0: $i] :
      ( hskp17
      | c2_1(a2302)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_647,c_323]) ).

tcf(c_8159,plain,
    ( hskp17
    | c2_1(a2302)
    | c0_1(a2276)
    | ~ c1_1(a2276)
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_8158]) ).

tcf(c_9663,plain,
    ( hskp6
    | hskp12
    | ~ c0_1(a2276) ),
    inference(resolution,[status(thm)],[c_289,c_390]) ).

tcf(c_9673,plain,
    ( hskp6
    | hskp12
    | c3_1(a2276) ),
    inference(resolution,[status(thm)],[c_289,c_342]) ).

tcf(c_9683,plain,
    ( hskp6
    | hskp12
    | c1_1(a2276) ),
    inference(resolution,[status(thm)],[c_289,c_341]) ).

tcf(c_18732,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_726]) ).

tcf(c_18733,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_726]) ).

tcf(c_18734,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_726]) ).

tcf(c_18735,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_726]) ).

tcf(c_18736,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_724]) ).

tcf(c_18737,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_724]) ).

tcf(c_18738,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_724]) ).

tcf(c_18739,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_724]) ).

tcf(c_18740,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_722]) ).

tcf(c_18741,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_722]) ).

tcf(c_18742,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_722]) ).

tcf(c_18743,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_722]) ).

tcf(c_18744,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_720]) ).

tcf(c_18745,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_720]) ).

tcf(c_18746,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_720]) ).

tcf(c_18747,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_720]) ).

tcf(c_18748,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_718]) ).

tcf(c_18749,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_718]) ).

tcf(c_18750,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_718]) ).

tcf(c_18751,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_716]) ).

tcf(c_18753,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_714]) ).

tcf(c_18754,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_714]) ).

tcf(c_18756,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_711]) ).

tcf(c_18760,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_707]) ).

tcf(c_18761,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_707]) ).

tcf(c_18762,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_705]) ).

tcf(c_18763,negated_conjecture,
    ( iPr_def_30
    | iPr_def_12
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_705]) ).

tcf(c_18766,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_701]) ).

tcf(c_18768,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_699]) ).

tcf(c_18769,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_697]) ).

tcf(c_18771,negated_conjecture,
    ( iPr_def_32
    | iPr_def_13
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_695]) ).

tcf(c_18773,negated_conjecture,
    ( iPr_def_30
    | iPr_def_27
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_691]) ).

tcf(c_18774,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_689]) ).

tcf(c_18775,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_687]) ).

tcf(c_18776,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_684]) ).

tcf(c_18777,negated_conjecture,
    ( iPr_def_34
    | iPr_def_10
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).

tcf(c_18779,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_680]) ).

tcf(c_18780,negated_conjecture,
    ( iPr_def_35
    | iPr_def_16
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).

tcf(c_18781,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_678]) ).

tcf(c_18783,negated_conjecture,
    ( iPr_def_34
    | iPr_def_29
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).

tcf(c_18784,negated_conjecture,
    ( iPr_def_35
    | iPr_def_33
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).

tcf(c_18785,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_669]) ).

tcf(c_18789,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_659]) ).

tcf(c_18791,negated_conjecture,
    ( iPr_def_37
    | hskp23
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_656]) ).

tcf(c_18796,negated_conjecture,
    ( iPr_def_27
    | hskp12
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).

tcf(c_18799,negated_conjecture,
    ( iPr_def_18
    | hskp1
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).

tcf(c_18802,negated_conjecture,
    ( iPr_def_19
    | hskp12
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).

tcf(c_18804,negated_conjecture,
    ( iPr_def_25
    | hskp16
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).

tcf(c_18805,negated_conjecture,
    ( iPr_def_15
    | hskp2
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).

tcf(c_18806,negated_conjecture,
    ( iPr_def_15
    | hskp16
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).

tcf(c_18807,negated_conjecture,
    ( iPr_def_14
    | hskp7
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).

tcf(c_18808,negated_conjecture,
    ( iPr_def_33
    | hskp6
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).

tcf(c_18809,negated_conjecture,
    ( iPr_def_33
    | hskp7
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).

tcf(c_18813,negated_conjecture,
    ( iPr_def_36
    | hskp1
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).

tcf(c_18815,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_586]) ).

tcf(c_18816,negated_conjecture,
    ( iPr_def_39
    | hskp14
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).

tcf(c_18818,negated_conjecture,
    ( iPr_def_35
    | hskp2
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).

tcf(c_18821,negated_conjecture,
    ( iPr_def_23
    | hskp6
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).

tcf(c_18822,negated_conjecture,
    ( iPr_def_23
    | hskp11
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).

tcf(c_18828,plain,
    ( c2_1(a2276)
    | c0_1(a2276)
    | ~ iPr_def_22
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18748]) ).

tcf(c_18840,plain,
    ( c0_1(a2276)
    | ~ iPr_def_13
    | ~ c1_1(a2276)
    | ~ c2_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18736]) ).

tcf(c_18843,plain,
    ( c2_1(a2276)
    | ~ iPr_def_16
    | ~ c1_1(a2276)
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18740]) ).

tcf(c_18858,plain,
    ( c2_1(a2278)
    | ~ iPr_def_10
    | ~ c1_1(a2278)
    | ~ c0_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18732]) ).

tcf(c_18863,plain,
    ( c2_1(a2285)
    | ~ iPr_def_10
    | ~ c1_1(a2285)
    | ~ c0_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18732]) ).

tcf(c_18864,plain,
    ( c2_1(a2277)
    | ~ iPr_def_10
    | ~ c1_1(a2277)
    | ~ c0_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18732]) ).

tcf(c_18865,plain,
    ( c0_1(a2315)
    | ~ iPr_def_13
    | ~ c1_1(a2315)
    | ~ c2_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18736]) ).

tcf(c_18868,plain,
    ( c0_1(a2282)
    | ~ iPr_def_13
    | ~ c1_1(a2282)
    | ~ c2_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18736]) ).

tcf(c_18870,plain,
    ( c1_1(a2299)
    | c0_1(a2299)
    | ~ iPr_def_17
    | ~ c2_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_18872,plain,
    ( c1_1(a2282)
    | c0_1(a2282)
    | ~ iPr_def_17
    | ~ c2_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_18874,plain,
    ( c2_1(a2342)
    | ~ iPr_def_19
    | ~ c3_1(a2342)
    | ~ c0_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18744]) ).

tcf(c_18876,plain,
    ( c2_1(a2294)
    | ~ iPr_def_19
    | ~ c3_1(a2294)
    | ~ c0_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18744]) ).

tcf(c_18879,plain,
    ( c2_1(a2277)
    | ~ iPr_def_19
    | ~ c3_1(a2277)
    | ~ c0_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18744]) ).

tcf(c_18887,plain,
    ( c1_1(a2345)
    | c0_1(a2345)
    | ~ iPr_def_17
    | ~ c2_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_18888,plain,
    ( c1_1(a2323)
    | c0_1(a2323)
    | ~ iPr_def_17
    | ~ c2_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_18901,plain,
    ( c1_1(a2294)
    | ~ iPr_def_11
    | ~ c3_1(a2294)
    | ~ c0_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18733]) ).

tcf(c_18907,plain,
    ( c3_1(a2295)
    | ~ iPr_def_15
    | ~ c2_1(a2295)
    | ~ c0_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

tcf(c_18909,plain,
    ( c3_1(a2287)
    | ~ iPr_def_15
    | ~ c2_1(a2287)
    | ~ c0_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

tcf(c_18910,plain,
    ( c3_1(a2285)
    | ~ iPr_def_15
    | ~ c2_1(a2285)
    | ~ c0_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

tcf(c_18913,plain,
    ( c2_1(a2327)
    | c0_1(a2327)
    | ~ iPr_def_22
    | ~ c3_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18748]) ).

tcf(c_18932,plain,
    ( c1_1(a2306)
    | c3_1(a2306)
    | c2_1(a2306)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_18745]) ).

tcf(c_18950,plain,
    ( c1_1(a2323)
    | ~ iPr_def_11
    | ~ c3_1(a2323)
    | ~ c0_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18733]) ).

tcf(c_18964,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a2315)
    | ~ c2_1(a2315)
    | ~ c0_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18751]) ).

tcf(c_18971,plain,
    ( c0_1(a2302)
    | ~ iPr_def_27
    | ~ c3_1(a2302)
    | ~ c2_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18756]) ).

tcf(c_18974,plain,
    ( c1_1(a2306)
    | c3_1(a2306)
    | ~ iPr_def_29
    | ~ c0_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18760]) ).

tcf(c_18991,plain,
    ( c3_1(a2316)
    | c2_1(a2316)
    | ~ iPr_def_32
    | ~ c1_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_18993,plain,
    ( c3_1(a2304)
    | c2_1(a2304)
    | ~ iPr_def_32
    | ~ c1_1(a2304) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_18994,plain,
    ( c3_1(a2285)
    | c2_1(a2285)
    | ~ iPr_def_32
    | ~ c1_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_18997,plain,
    ( c1_1(a2345)
    | c2_1(a2345)
    | c0_1(a2345)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18779]) ).

tcf(c_19000,plain,
    ( c1_1(a2304)
    | c2_1(a2304)
    | c0_1(a2304)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18779]) ).

tcf(c_19006,plain,
    ( ~ iPr_def_37
    | ~ c1_1(a2315)
    | ~ c3_1(a2315)
    | ~ c2_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18789]) ).

tcf(c_19009,plain,
    ( ~ iPr_def_37
    | ~ c1_1(a2302)
    | ~ c3_1(a2302)
    | ~ c2_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18789]) ).

tcf(c_19017,plain,
    ( hskp12
    | c1_1(a2294)
    | c3_1(a2294)
    | ~ c0_1(a2294) ),
    inference(instantiation,[status(thm)],[c_559]) ).

tcf(c_19038,plain,
    ( c3_1(a2286)
    | c2_1(a2286)
    | ~ iPr_def_32
    | ~ c1_1(a2286) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_19046,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2278)
    | ~ c3_1(a2278)
    | ~ c0_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18734]) ).

tcf(c_19059,plain,
    ( hskp12
    | c1_1(a2299)
    | c3_1(a2299)
    | ~ c0_1(a2299) ),
    inference(instantiation,[status(thm)],[c_559]) ).

tcf(c_19075,plain,
    ( c1_1(a2299)
    | c3_1(a2299)
    | ~ iPr_def_29
    | ~ c0_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18760]) ).

tcf(c_19090,plain,
    ( c3_1(a2294)
    | c2_1(a2294)
    | ~ iPr_def_34
    | ~ c0_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19091,plain,
    ( c3_1(a2285)
    | c2_1(a2285)
    | ~ iPr_def_34
    | ~ c0_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19092,plain,
    ( c3_1(a2277)
    | c2_1(a2277)
    | ~ iPr_def_34
    | ~ c0_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19106,plain,
    ( c0_1(a2367)
    | ~ iPr_def_13
    | ~ c1_1(a2367)
    | ~ c2_1(a2367) ),
    inference(instantiation,[status(thm)],[c_18736]) ).

tcf(c_19112,plain,
    ( hskp20
    | c0_1(a2302)
    | ~ c3_1(a2302)
    | ~ c2_1(a2302) ),
    inference(instantiation,[status(thm)],[c_584]) ).

tcf(c_19113,plain,
    ( c0_1(a2302)
    | ~ iPr_def_13
    | ~ c1_1(a2302)
    | ~ c2_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18736]) ).

tcf(c_19122,plain,
    ( c1_1(a2282)
    | c3_1(a2282)
    | ~ iPr_def_30
    | ~ c2_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18762]) ).

tcf(c_19126,plain,
    ( c3_1(a2279)
    | c2_1(a2279)
    | ~ iPr_def_34
    | ~ c0_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19129,plain,
    ( c1_1(a2327)
    | c0_1(a2327)
    | ~ iPr_def_33
    | ~ c3_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18769]) ).

tcf(c_19132,plain,
    ( c1_1(a2302)
    | c0_1(a2302)
    | ~ iPr_def_33
    | ~ c3_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18769]) ).

tcf(c_19135,plain,
    ( c3_1(a2282)
    | c0_1(a2282)
    | ~ iPr_def_39
    | ~ c2_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18815]) ).

tcf(c_19147,plain,
    ( c1_1(a2287)
    | c3_1(a2287)
    | ~ iPr_def_30
    | ~ c2_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18762]) ).

tcf(c_19149,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a2287)
    | ~ c2_1(a2287)
    | ~ c0_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18751]) ).

tcf(c_19151,plain,
    ( c1_1(a2287)
    | c3_1(a2287)
    | ~ iPr_def_29
    | ~ c0_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18760]) ).

tcf(c_19180,plain,
    ( c1_1(a2299)
    | c3_1(a2299)
    | ~ iPr_def_30
    | ~ c2_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18762]) ).

tcf(c_19183,plain,
    ( c3_1(a2299)
    | ~ iPr_def_15
    | ~ c2_1(a2299)
    | ~ c0_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

tcf(c_19193,plain,
    ( c1_1(a2302)
    | c0_1(a2302)
    | ~ iPr_def_17
    | ~ c2_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_19194,plain,
    ( c3_1(a2295)
    | c2_1(a2295)
    | ~ iPr_def_34
    | ~ c0_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19195,plain,
    ( c1_1(a2295)
    | c3_1(a2295)
    | ~ iPr_def_29
    | ~ c0_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18760]) ).

tcf(c_19211,plain,
    ( c2_1(a2278)
    | ~ iPr_def_16
    | ~ c1_1(a2278)
    | ~ c3_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18740]) ).

tcf(c_19213,plain,
    ( c2_1(a2327)
    | ~ iPr_def_16
    | ~ c1_1(a2327)
    | ~ c3_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18740]) ).

tcf(c_19288,plain,
    ( c3_1(a2293)
    | ~ iPr_def_15
    | ~ c2_1(a2293)
    | ~ c0_1(a2293) ),
    inference(instantiation,[status(thm)],[c_18738]) ).

tcf(c_19328,plain,
    ( c3_1(a2282)
    | ~ iPr_def_14
    | ~ c1_1(a2282)
    | ~ c2_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18737]) ).

tcf(c_19329,plain,
    ( c2_1(a2280)
    | ~ iPr_def_16
    | ~ c1_1(a2280)
    | ~ c3_1(a2280) ),
    inference(instantiation,[status(thm)],[c_18740]) ).

tcf(c_19386,plain,
    ( c2_1(a2316)
    | ~ iPr_def_10
    | ~ c1_1(a2316)
    | ~ c0_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18732]) ).

tcf(c_19393,plain,
    ( ~ iPr_def_21
    | ~ c1_1(a2278)
    | ~ c2_1(a2278)
    | ~ c0_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18746]) ).

tcf(c_19403,plain,
    ( c3_1(a2285)
    | ~ iPr_def_14
    | ~ c1_1(a2285)
    | ~ c2_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18737]) ).

tcf(c_19404,plain,
    ( ~ iPr_def_21
    | ~ c1_1(a2285)
    | ~ c2_1(a2285)
    | ~ c0_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18746]) ).

tcf(c_19414,plain,
    ( c3_1(a2324)
    | ~ iPr_def_14
    | ~ c1_1(a2324)
    | ~ c2_1(a2324) ),
    inference(instantiation,[status(thm)],[c_18737]) ).

tcf(c_19440,plain,
    ( c3_1(a2316)
    | c0_1(a2316)
    | ~ iPr_def_36
    | ~ c1_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18781]) ).

tcf(c_19444,plain,
    ( c3_1(a2282)
    | c0_1(a2282)
    | ~ iPr_def_36
    | ~ c1_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18781]) ).

tcf(c_19570,plain,
    ( c1_1(a2295)
    | c3_1(a2295)
    | ~ iPr_def_30
    | ~ c2_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18762]) ).

tcf(c_19599,plain,
    ( c3_1(a2324)
    | c2_1(a2324)
    | c0_1(a2324)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_19600,plain,
    ( c3_1(a2316)
    | c2_1(a2316)
    | c0_1(a2316)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_19601,plain,
    ( c3_1(a2306)
    | c2_1(a2306)
    | c0_1(a2306)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_19602,plain,
    ( c3_1(a2304)
    | c2_1(a2304)
    | c0_1(a2304)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_19610,plain,
    ( c3_1(a2286)
    | c2_1(a2286)
    | c0_1(a2286)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_19642,plain,
    ( c1_1(a2306)
    | c2_1(a2306)
    | c0_1(a2306)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18779]) ).

tcf(c_19676,plain,
    ( ~ iPr_def_21
    | ~ c1_1(a2315)
    | ~ c2_1(a2315)
    | ~ c0_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18746]) ).

tcf(c_19705,plain,
    ( c1_1(a2323)
    | ~ iPr_def_18
    | ~ c3_1(a2323)
    | ~ c2_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18742]) ).

tcf(c_19706,plain,
    ( c1_1(a2302)
    | ~ iPr_def_18
    | ~ c3_1(a2302)
    | ~ c2_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18742]) ).

tcf(c_19715,plain,
    ( ~ iPr_def_21
    | ~ c1_1(a2309)
    | ~ c2_1(a2309)
    | ~ c0_1(a2309) ),
    inference(instantiation,[status(thm)],[c_18746]) ).

tcf(c_19761,plain,
    ( c1_1(a2345)
    | c0_1(a2345)
    | ~ iPr_def_33
    | ~ c3_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18769]) ).

tcf(c_19815,plain,
    ( c2_1(a2286)
    | ~ iPr_def_16
    | ~ c1_1(a2286)
    | ~ c3_1(a2286) ),
    inference(instantiation,[status(thm)],[c_18740]) ).

tcf(c_19825,plain,
    ( c3_1(a2316)
    | ~ iPr_def_25
    | ~ c1_1(a2316)
    | ~ c0_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

tcf(c_19832,plain,
    ( c3_1(a2279)
    | ~ iPr_def_25
    | ~ c1_1(a2279)
    | ~ c0_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

tcf(c_19852,plain,
    ( c3_1(a2306)
    | c2_1(a2306)
    | ~ iPr_def_34
    | ~ c0_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19859,plain,
    ( c1_1(a2327)
    | c2_1(a2327)
    | c0_1(a2327)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18779]) ).

tcf(c_19948,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2277)
    | ~ c3_1(a2277)
    | ~ c0_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18734]) ).

tcf(c_19951,plain,
    ( c2_1(a2277)
    | ~ iPr_def_16
    | ~ c1_1(a2277)
    | ~ c3_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18740]) ).

tcf(c_19957,plain,
    ( c3_1(a2285)
    | ~ iPr_def_25
    | ~ c1_1(a2285)
    | ~ c0_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

tcf(c_19982,plain,
    ( c1_1(a2279)
    | c3_1(a2279)
    | ~ iPr_def_29
    | ~ c0_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18760]) ).

tcf(c_20094,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19982,c_19957,c_19951,c_19948,c_19859,c_19852,c_19832,c_19825,c_19815,c_19761,c_19715,c_19706,c_19705,c_19676,c_19642,c_19610,c_19602,c_19601,c_19600,c_19599,c_19570,c_19444,c_19440,c_19414,c_19403,c_19404,c_19393,c_19386,c_19329,c_19328,c_19288,c_19213,c_19211,c_19195,c_19194,c_19193,c_19180,c_19183,c_19151,c_19147,c_19149,c_19135,c_19132,c_19129,c_19126,c_19122,c_19112,c_19113,c_19106,c_19092,c_19091,c_19090,c_19075,c_19059,c_19046,c_19038,c_19017,c_19009,c_19006,c_19000,c_18997,c_18994,c_18993,c_18991,c_18974,c_18971,c_18964,c_18950,c_18932,c_18913,c_18910,c_18909,c_18907,c_18901,c_18888,c_18887,c_18879,c_18876,c_18874,c_18872,c_18870,c_18868,c_18865,c_18864,c_18863,c_18858,c_18843,c_18840,c_18828,c_18822,c_18821,c_18818,c_18816,c_18813,c_18809,c_18808,c_18807,c_18806,c_18805,c_18804,c_18802,c_18799,c_18796,c_18791,c_18785,c_18784,c_18783,c_18780,c_18777,c_18775,c_18774,c_18773,c_18771,c_18768,c_18763,c_18761,c_18754,c_18750,c_18747,c_18743,c_18739,c_18735,c_9683,c_9673,c_9663,c_8159,c_8142,c_8125,c_6803,c_6793,c_6158,c_6148,c_6138,c_4388,c_4378,c_4368,c_3878,c_3861,c_3844,c_3689,c_3669,c_2255,c_2245,c_2235,c_2153,c_2143,c_2133,c_495,c_463,c_344,c_345,c_346,c_348,c_349,c_352,c_353,c_354,c_355,c_356,c_359,c_360,c_361,c_362,c_363,c_364,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_377,c_378,c_379,c_380,c_384,c_385,c_386,c_387,c_388,c_389,c_390,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_309,c_310,c_311,c_314,c_316,c_317,c_318,c_319,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_287]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN487-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 01:30:29 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running EPR theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 4.07/1.59  % SZS status Started for theBenchmark.p
% 4.07/1.59  % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.59  
% 4.07/1.59  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.59  
% 4.07/1.59  % ------  iProver source info
% 4.07/1.59  
% 4.07/1.59  % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.59  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.59  % git: non_committed_changes: false
% 4.07/1.59  
% 4.07/1.59  % ------ Parsing...% successful
% 4.07/1.59  
% 4.07/1.59  
% 4.07/1.59  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.07/1.59  % 
% 4.07/1.59  
% 4.07/1.59  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.07/1.59  
% 4.07/1.59  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.07/1.59   gs_s  sp: 95 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.07/1.59  % ------ Proving...
% 4.07/1.59  % ------ Problem Properties 
% 4.07/1.59  
% 4.07/1.59  % 
% 4.07/1.59  % clauses                               201
% 4.07/1.59  % conjectures                           201
% 4.07/1.59  % EPR                                   201
% 4.07/1.59  % Horn                                  112
% 4.07/1.59  % unary                                 0
% 4.07/1.59  % binary                                96
% 4.07/1.59  % lits                                  539
% 4.07/1.59  % lits eq                               0
% 4.07/1.59  % fd_pure                               0
% 4.07/1.59  % fd_pseudo                             0
% 4.07/1.59  % fd_cond                               0
% 4.07/1.59  % fd_pseudo_cond                        0
% 4.07/1.59  % AC symbols                            0
% 4.07/1.59  
% 4.07/1.59  % ------ Schedule EPR non Horn non eq is on
% 4.07/1.59  
% 4.07/1.59  % ------ no equalities: superposition off 
% 4.07/1.59  
% 4.07/1.59  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.07/1.59  
% 4.07/1.59  
% 4.07/1.59  % ------ 
% 4.07/1.59  % Current options:
% 4.07/1.59  % ------ 
% 4.07/1.59  
% 4.07/1.59  
% 4.07/1.59  % 
% 4.07/1.59  
% 4.07/1.59  % ------ Proving...
% 4.07/1.59  % 
% 4.07/1.59  
% 4.07/1.59  % SZS status Unsatisfiable for theBenchmark.p
% 4.07/1.59  
% 4.07/1.59  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.24/1.60  
% 5.24/1.60  
%------------------------------------------------------------------------------