↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN451-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:17 PM UTC 2026

% Result   : Unsatisfiable 3.66s 1.15s
% Output   : CNFRefutation 3.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   96
% Syntax   : Number of formulae    :  382 (   2 unt;   0 def)
%            Number of atoms       : 1637 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 2125 ( 870   ~;1255   |;   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  :   54 (  53 usr;  50 prp; 0-1 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  266 (   0 sgn 266   !;   0   ?; 205   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( hskp8
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f22,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).

fof(f30,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f32,negated_conjecture,
    ( hskp13
    | hskp24
    | hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).

fof(f35,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f45,negated_conjecture,
    ( c0_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c2_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c3_1(a729)
    | ~ hskp25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c0_1(a802)
    | ~ hskp24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c0_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c1_1(a798)
    | ~ hskp23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f52,negated_conjecture,
    ( c0_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,negated_conjecture,
    ( c3_1(a793)
    | ~ hskp21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f54,negated_conjecture,
    ( c2_1(a779)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( c1_1(a775)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).

fof(f59,negated_conjecture,
    ( c0_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f60,negated_conjecture,
    ( c2_1(a764)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f61,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c1_1(a763)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

fof(f64,negated_conjecture,
    ( c2_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).

fof(f65,negated_conjecture,
    ( c3_1(a759)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f68,negated_conjecture,
    ( c3_1(a746)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

fof(f69,negated_conjecture,
    ( c3_1(a744)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

fof(f70,negated_conjecture,
    ( c1_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

fof(f71,negated_conjecture,
    ( c3_1(a741)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f73,negated_conjecture,
    ( c2_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c3_1(a735)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c1_1(a734)
    | ~ hskp4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c1_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c3_1(a731)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c3_1(a730)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a802) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a802) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a798) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

fof(f86,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a793) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a779) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a779) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f91,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a775) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a775) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f94,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a764) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a763) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).

fof(f98,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a759) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f100,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a749) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f101,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a749) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a749) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).

fof(f103,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a748) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).

fof(f104,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a748) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f105,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a748) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a746) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a746) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

fof(f108,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a744) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a744) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a741) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

fof(f113,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a735) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a734) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

fof(f115,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a734) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f116,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a733) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f117,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a733) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a732) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a732) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a732) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a731) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a730) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ! [X0] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).

fof(f125,negated_conjecture,
    ! [X0] :
      ( hskp9
      | hskp5
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

fof(f128,negated_conjecture,
    ! [X0] :
      ( hskp2
      | hskp1
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

fof(f135,negated_conjecture,
    ! [X0] :
      ( hskp9
      | hskp25
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp3
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).

fof(f140,negated_conjecture,
    ! [X0] :
      ( hskp20
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X0] :
      ( hskp11
      | hskp18
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f143,negated_conjecture,
    ! [X0] :
      ( hskp21
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f148,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).

fof(f149,negated_conjecture,
    ! [X0,X1] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c1_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).

fof(f152,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).

fof(f154,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).

fof(f156,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( hskp13
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f159,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c0_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).

fof(f160,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

fof(f161,negated_conjecture,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

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

fof(f166,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp1
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

fof(f168,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f169,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f171,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

fof(f172,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

fof(f173,negated_conjecture,
    ! [X2,X0,X1] :
      ( c3_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f174,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

tcf(c_224,negated_conjecture,
    ( hskp8
    | hskp0 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_245,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_253,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_255,negated_conjecture,
    ( hskp13
    | hskp23
    | hskp24 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_258,negated_conjecture,
    ( hskp1
    | hskp4
    | hskp7 ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_268,negated_conjecture,
    ( c0_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_269,negated_conjecture,
    ( c2_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_270,negated_conjecture,
    ( c3_1(a729)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_271,negated_conjecture,
    ( c0_1(a802)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_272,negated_conjecture,
    ( c0_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_273,negated_conjecture,
    ( c1_1(a798)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_275,negated_conjecture,
    ( c0_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_276,negated_conjecture,
    ( c3_1(a793)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_277,negated_conjecture,
    ( c2_1(a779)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_279,negated_conjecture,
    ( c1_1(a775)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_282,negated_conjecture,
    ( c0_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_283,negated_conjecture,
    ( c2_1(a764)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_284,negated_conjecture,
    ( c0_1(a763)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_285,negated_conjecture,
    ( c1_1(a763)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_287,negated_conjecture,
    ( c2_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_288,negated_conjecture,
    ( c3_1(a759)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_291,negated_conjecture,
    ( c3_1(a746)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_292,negated_conjecture,
    ( c3_1(a744)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_293,negated_conjecture,
    ( c1_1(a741)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_294,negated_conjecture,
    ( c3_1(a741)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_296,negated_conjecture,
    ( c2_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_297,negated_conjecture,
    ( c3_1(a735)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_298,negated_conjecture,
    ( c1_1(a734)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_299,negated_conjecture,
    ( c2_1(a733)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_300,negated_conjecture,
    ( c1_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_301,negated_conjecture,
    ( c3_1(a731)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_302,negated_conjecture,
    ( c0_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_303,negated_conjecture,
    ( c3_1(a730)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_304,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a802) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_305,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a802) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_306,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a798) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_309,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a793) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_310,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a779) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_311,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a779) ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_314,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a775) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_315,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a775) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_317,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a764) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_318,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a763) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_321,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a759) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_323,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a749) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_324,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a749) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_325,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a749) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_326,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a748) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_327,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a748) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_328,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a748) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_329,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a746) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_330,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a746) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_331,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a744) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_332,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a744) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_333,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a741) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_336,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a735) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_337,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a734) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a734) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_339,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a733) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a733) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a732) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_342,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a732) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a732) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a731) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a730) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_346,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_348,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp9
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp25
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp16
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp20
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_364,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp18
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_373,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_375,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_379,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_382,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_425,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_253,c_224,c_253,c_245]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp9
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_348,c_224,c_253,c_245,c_348]) ).

tcf(c_492,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_346,c_224,c_253,c_245,c_346]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp16
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_359,c_224,c_253,c_245,c_359]) ).

tcf(c_501,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp25
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_358,c_224,c_253,c_245,c_358]) ).

tcf(c_522,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_351,c_224,c_253,c_245,c_351]) ).

tcf(c_528,plain,
    ! [X0: $i] :
      ( hskp21
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_366,c_366,c_425]) ).

tcf(c_529,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_528]) ).

tcf(c_534,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp18
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_364,c_224,c_253,c_245,c_364]) ).

tcf(c_535,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp18
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_534]) ).

tcf(c_537,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp20
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_363,c_224,c_253,c_245,c_363]) ).

tcf(c_538,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp20
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_537]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_371,c_224,c_253,c_245,c_371]) ).

tcf(c_560,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_375,c_224,c_253,c_245,c_375]) ).

tcf(c_561,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_560]) ).

tcf(c_563,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_374,c_224,c_253,c_245,c_374]) ).

tcf(c_564,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_563]) ).

tcf(c_565,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_373,c_224,c_253,c_245,c_373]) ).

tcf(c_566,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_565]) ).

tcf(c_567,plain,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_372,c_224,c_253,c_245,c_372]) ).

tcf(c_568,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_567]) ).

tcf(c_571,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_224,c_253,c_245,c_384]) ).

tcf(c_572,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_571]) ).

tcf(c_573,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_383,c_224,c_253,c_245,c_383]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_573]) ).

tcf(c_575,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_382,c_224,c_253,c_245,c_382]) ).

tcf(c_576,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_575]) ).

tcf(c_577,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_381,c_224,c_253,c_245,c_381]) ).

tcf(c_578,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_577]) ).

tcf(c_582,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_379,c_224,c_253,c_245,c_379]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_586,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_224,c_253,c_245,c_377]) ).

tcf(c_587,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_586]) ).

tcf(c_588,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_388,c_224,c_253,c_245,c_388]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_590,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_387,c_224,c_253,c_245,c_387]) ).

tcf(c_591,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_590]) ).

tcf(c_592,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_386,c_224,c_253,c_245,c_386]) ).

tcf(c_593,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_592]) ).

tcf(c_594,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_224,c_253,c_245,c_390]) ).

tcf(c_595,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_594]) ).

tcf(c_596,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_224,c_253,c_245,c_389]) ).

tcf(c_597,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_596]) ).

tcf(c_600,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_392,c_224,c_253,c_245,c_392]) ).

tcf(c_601,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_600]) ).

tcf(c_602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_391,c_224,c_253,c_245,c_391]) ).

tcf(c_603,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_602]) ).

tcf(c_604,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_224,c_253,c_245,c_396]) ).

tcf(c_605,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_604]) ).

tcf(c_606,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_224,c_253,c_245,c_395]) ).

tcf(c_607,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_606]) ).

tcf(c_609,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_224,c_253,c_245,c_394]) ).

tcf(c_610,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_609]) ).

tcf(c_611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_398,c_224,c_253,c_245,c_398]) ).

tcf(c_612,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_611]) ).

tcf(c_613,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_224,c_253,c_245,c_397]) ).

tcf(c_614,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_613]) ).

tcf(c_1679,plain,
    ( hskp13
    | hskp23
    | ~ c3_1(a802) ),
    inference(resolution,[status(thm)],[c_255,c_305]) ).

tcf(c_1689,plain,
    ( hskp13
    | hskp23
    | ~ c2_1(a802) ),
    inference(resolution,[status(thm)],[c_255,c_304]) ).

tcf(c_1699,plain,
    ( hskp13
    | hskp23
    | c0_1(a802) ),
    inference(resolution,[status(thm)],[c_255,c_271]) ).

tcf(c_1916,plain,
    ! [X0: $i] :
      ( ~ c2_1(a793)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_529,c_309]) ).

tcf(c_1917,plain,
    ( ~ c2_1(a793)
    | ~ c2_1(a729)
    | ~ c3_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_1916]) ).

tcf(c_1930,plain,
    ! [X0: $i] :
      ( c3_1(a793)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_529,c_276]) ).

tcf(c_1931,plain,
    ( c3_1(a793)
    | ~ c2_1(a729)
    | ~ c3_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_1930]) ).

tcf(c_1944,plain,
    ! [X0: $i] :
      ( c0_1(a793)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_529,c_275]) ).

tcf(c_1945,plain,
    ( c0_1(a793)
    | ~ c2_1(a729)
    | ~ c3_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_1944]) ).

tcf(c_2441,plain,
    ( hskp0
    | ~ c1_1(a744) ),
    inference(resolution,[status(thm)],[c_224,c_332]) ).

tcf(c_2448,plain,
    ( hskp0
    | ~ c0_1(a744) ),
    inference(resolution,[status(thm)],[c_224,c_331]) ).

tcf(c_2455,plain,
    ( hskp0
    | c3_1(a744) ),
    inference(resolution,[status(thm)],[c_224,c_292]) ).

tcf(c_4831,plain,
    ( hskp1
    | hskp7
    | ~ c3_1(a734) ),
    inference(resolution,[status(thm)],[c_258,c_338]) ).

tcf(c_4841,plain,
    ( hskp1
    | hskp7
    | ~ c0_1(a734) ),
    inference(resolution,[status(thm)],[c_258,c_337]) ).

tcf(c_4851,plain,
    ( hskp1
    | hskp7
    | c1_1(a734) ),
    inference(resolution,[status(thm)],[c_258,c_298]) ).

tcf(c_5752,plain,
    ( hskp8
    | ~ c1_1(a730) ),
    inference(resolution,[status(thm)],[c_224,c_345]) ).

tcf(c_5759,plain,
    ( hskp8
    | c3_1(a730) ),
    inference(resolution,[status(thm)],[c_224,c_303]) ).

tcf(c_5766,plain,
    ( hskp8
    | c0_1(a730) ),
    inference(resolution,[status(thm)],[c_224,c_302]) ).

tcf(c_13900,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_614]) ).

tcf(c_13901,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_614]) ).

tcf(c_13902,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_614]) ).

tcf(c_13903,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).

tcf(c_13904,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_612]) ).

tcf(c_13905,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_612]) ).

tcf(c_13906,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).

tcf(c_13907,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_610]) ).

tcf(c_13908,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_610]) ).

tcf(c_13909,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_610]) ).

tcf(c_13910,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).

tcf(c_13911,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_607]) ).

tcf(c_13912,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_607]) ).

tcf(c_13913,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).

tcf(c_13914,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_605]) ).

tcf(c_13915,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_605]) ).

tcf(c_13916,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_605]) ).

tcf(c_13917,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).

tcf(c_13918,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_603]) ).

tcf(c_13919,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_603]) ).

tcf(c_13921,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_601]) ).

tcf(c_13925,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_597]) ).

tcf(c_13926,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_597]) ).

tcf(c_13927,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).

tcf(c_13928,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_595]) ).

tcf(c_13929,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).

tcf(c_13930,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_593]) ).

tcf(c_13932,negated_conjecture,
    ( iPr_def_23
    | iPr_def_17
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).

tcf(c_13933,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_589]) ).

tcf(c_13935,negated_conjecture,
    ( iPr_def_27
    | iPr_def_25
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).

tcf(c_13938,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).

tcf(c_13940,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_578]) ).

tcf(c_13941,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).

tcf(c_13942,negated_conjecture,
    ( iPr_def_31
    | iPr_def_18
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).

tcf(c_13943,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_574]) ).

tcf(c_13944,negated_conjecture,
    ( iPr_def_34
    | iPr_def_19
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).

tcf(c_13945,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_572]) ).

tcf(c_13946,negated_conjecture,
    ( iPr_def_35
    | iPr_def_20
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).

tcf(c_13948,negated_conjecture,
    ( iPr_def_35
    | iPr_def_24
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).

tcf(c_13949,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_566]) ).

tcf(c_13950,negated_conjecture,
    ( iPr_def_36
    | iPr_def_30
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).

tcf(c_13951,negated_conjecture,
    ( iPr_def_25
    | iPr_def_23
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).

tcf(c_13952,negated_conjecture,
    ( iPr_def_33
    | iPr_def_30
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).

tcf(c_13957,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_552]) ).

tcf(c_13963,negated_conjecture,
    ( iPr_def_13
    | hskp5
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).

tcf(c_13964,negated_conjecture,
    ( iPr_def_29
    | hskp11
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_535]) ).

tcf(c_13968,negated_conjecture,
    ( iPr_def_36
    | hskp1
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_522]) ).

tcf(c_13975,negated_conjecture,
    ( iPr_def_21
    | hskp9
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

tcf(c_13976,negated_conjecture,
    ( iPr_def_21
    | hskp3
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_13978,negated_conjecture,
    ( iPr_def_24
    | hskp1
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

tcf(c_13980,negated_conjecture,
    ( iPr_def_38
    | hskp5
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_14000,plain,
    ( c1_1(a729)
    | ~ iPr_def_13
    | ~ c2_1(a729)
    | ~ c3_1(a729) ),
    inference(instantiation,[status(thm)],[c_13904]) ).

tcf(c_14010,plain,
    ( ~ iPr_def_12
    | ~ c2_1(a729)
    | ~ c3_1(a729)
    | ~ c1_1(a729) ),
    inference(instantiation,[status(thm)],[c_13902]) ).

tcf(c_14011,plain,
    ( ~ iPr_def_17
    | ~ c3_1(a729)
    | ~ c1_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_13909]) ).

tcf(c_14012,plain,
    ( ~ iPr_def_22
    | ~ c2_1(a729)
    | ~ c1_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_13916]) ).

tcf(c_14013,plain,
    ( ~ iPr_def_28
    | ~ c2_1(a729)
    | ~ c3_1(a729)
    | ~ c0_1(a729) ),
    inference(instantiation,[status(thm)],[c_13926]) ).

tcf(c_14015,plain,
    ( c0_1(a744)
    | ~ iPr_def_10
    | ~ c2_1(a744)
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13900]) ).

tcf(c_14016,plain,
    ( c0_1(a741)
    | ~ iPr_def_10
    | ~ c2_1(a741)
    | ~ c3_1(a741) ),
    inference(instantiation,[status(thm)],[c_13900]) ).

tcf(c_14017,plain,
    ( c0_1(a735)
    | ~ iPr_def_10
    | ~ c2_1(a735)
    | ~ c3_1(a735) ),
    inference(instantiation,[status(thm)],[c_13900]) ).

tcf(c_14022,plain,
    ( c2_1(a775)
    | ~ iPr_def_16
    | ~ c1_1(a775)
    | ~ c0_1(a775) ),
    inference(instantiation,[status(thm)],[c_13908]) ).

tcf(c_14023,plain,
    ( c2_1(a763)
    | ~ iPr_def_16
    | ~ c1_1(a763)
    | ~ c0_1(a763) ),
    inference(instantiation,[status(thm)],[c_13908]) ).

tcf(c_14026,plain,
    ( c2_1(a731)
    | ~ iPr_def_16
    | ~ c1_1(a731)
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_13908]) ).

tcf(c_14032,plain,
    ( c2_1(a731)
    | ~ iPr_def_19
    | ~ c3_1(a731)
    | ~ c1_1(a731) ),
    inference(instantiation,[status(thm)],[c_13912]) ).

tcf(c_14055,plain,
    ( c3_1(a734)
    | c0_1(a734)
    | ~ iPr_def_23
    | ~ c2_1(a734) ),
    inference(instantiation,[status(thm)],[c_13918]) ).

tcf(c_14066,plain,
    ( ~ iPr_def_28
    | ~ c2_1(a730)
    | ~ c3_1(a730)
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13926]) ).

tcf(c_14068,plain,
    ( c2_1(a775)
    | c3_1(a775)
    | ~ iPr_def_21
    | ~ c0_1(a775) ),
    inference(instantiation,[status(thm)],[c_13915]) ).

tcf(c_14075,plain,
    ( c2_1(a748)
    | c1_1(a748)
    | c0_1(a748)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14076,plain,
    ( c2_1(a732)
    | c1_1(a732)
    | c0_1(a732)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14077,plain,
    ( c2_1(a793)
    | ~ iPr_def_14
    | ~ c3_1(a793)
    | ~ c0_1(a793) ),
    inference(instantiation,[status(thm)],[c_13905]) ).

tcf(c_14085,plain,
    ( c2_1(a744)
    | c1_1(a744)
    | c0_1(a744)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14093,plain,
    ( c2_1(a741)
    | c0_1(a741)
    | ~ iPr_def_11
    | ~ c3_1(a741) ),
    inference(instantiation,[status(thm)],[c_13901]) ).

tcf(c_14094,plain,
    ( c2_1(a741)
    | ~ iPr_def_19
    | ~ c3_1(a741)
    | ~ c1_1(a741) ),
    inference(instantiation,[status(thm)],[c_13912]) ).

tcf(c_14100,plain,
    ( c2_1(a746)
    | c1_1(a746)
    | c0_1(a746)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14102,plain,
    ( c2_1(a746)
    | c0_1(a746)
    | ~ iPr_def_11
    | ~ c3_1(a746) ),
    inference(instantiation,[status(thm)],[c_13901]) ).

tcf(c_14105,plain,
    ( c3_1(a779)
    | c1_1(a779)
    | ~ iPr_def_20
    | ~ c2_1(a779) ),
    inference(instantiation,[status(thm)],[c_13914]) ).

tcf(c_14117,plain,
    ( c1_1(a746)
    | c0_1(a746)
    | ~ iPr_def_25
    | ~ c3_1(a746) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

tcf(c_14118,plain,
    ( c1_1(a744)
    | c0_1(a744)
    | ~ iPr_def_25
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

tcf(c_14127,plain,
    ( c3_1(a734)
    | c0_1(a734)
    | ~ iPr_def_33
    | ~ c1_1(a734) ),
    inference(instantiation,[status(thm)],[c_13940]) ).

tcf(c_14141,plain,
    ( ~ iPr_def_17
    | ~ c3_1(a731)
    | ~ c1_1(a731)
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_13909]) ).

tcf(c_14170,plain,
    ( c2_1(a730)
    | ~ iPr_def_14
    | ~ c3_1(a730)
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13905]) ).

tcf(c_14203,plain,
    ( c3_1(a749)
    | c1_1(a749)
    | ~ iPr_def_20
    | ~ c2_1(a749) ),
    inference(instantiation,[status(thm)],[c_13914]) ).

tcf(c_14205,plain,
    ( c2_1(a731)
    | ~ iPr_def_14
    | ~ c3_1(a731)
    | ~ c0_1(a731) ),
    inference(instantiation,[status(thm)],[c_13905]) ).

tcf(c_14208,plain,
    ( c2_1(a731)
    | c0_1(a731)
    | ~ iPr_def_11
    | ~ c3_1(a731) ),
    inference(instantiation,[status(thm)],[c_13901]) ).

tcf(c_14219,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ iPr_def_31
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13933]) ).

tcf(c_14222,plain,
    ( c3_1(a749)
    | c1_1(a749)
    | c0_1(a749)
    | ~ iPr_def_15 ),
    inference(instantiation,[status(thm)],[c_13907]) ).

tcf(c_14231,plain,
    ( c1_1(a744)
    | ~ iPr_def_13
    | ~ c2_1(a744)
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13904]) ).

tcf(c_14234,plain,
    ( c1_1(a730)
    | ~ iPr_def_13
    | ~ c2_1(a730)
    | ~ c3_1(a730) ),
    inference(instantiation,[status(thm)],[c_13904]) ).

tcf(c_14238,plain,
    ( c1_1(a759)
    | c0_1(a759)
    | ~ iPr_def_36
    | ~ c2_1(a759) ),
    inference(instantiation,[status(thm)],[c_13949]) ).

tcf(c_14241,plain,
    ( c1_1(a744)
    | c0_1(a744)
    | ~ iPr_def_36
    | ~ c2_1(a744) ),
    inference(instantiation,[status(thm)],[c_13949]) ).

tcf(c_14242,plain,
    ( c1_1(a733)
    | c0_1(a733)
    | ~ iPr_def_36
    | ~ c2_1(a733) ),
    inference(instantiation,[status(thm)],[c_13949]) ).

tcf(c_14249,plain,
    ( c2_1(a802)
    | c3_1(a802)
    | ~ iPr_def_21
    | ~ c0_1(a802) ),
    inference(instantiation,[status(thm)],[c_13915]) ).

tcf(c_14329,plain,
    ( c1_1(a735)
    | c0_1(a735)
    | ~ iPr_def_36
    | ~ c2_1(a735) ),
    inference(instantiation,[status(thm)],[c_13949]) ).

tcf(c_14397,plain,
    ( c2_1(a749)
    | c3_1(a749)
    | c0_1(a749)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_13957]) ).

tcf(c_14399,plain,
    ( c2_1(a749)
    | c1_1(a749)
    | c0_1(a749)
    | ~ iPr_def_24 ),
    inference(instantiation,[status(thm)],[c_13919]) ).

tcf(c_14409,plain,
    ( c0_1(a735)
    | ~ iPr_def_18
    | ~ c3_1(a735)
    | ~ c1_1(a735) ),
    inference(instantiation,[status(thm)],[c_13911]) ).

tcf(c_14427,plain,
    ( c1_1(a735)
    | ~ iPr_def_13
    | ~ c2_1(a735)
    | ~ c3_1(a735) ),
    inference(instantiation,[status(thm)],[c_13904]) ).

tcf(c_14441,plain,
    ( c3_1(a764)
    | ~ iPr_def_29
    | ~ c1_1(a764)
    | ~ c0_1(a764) ),
    inference(instantiation,[status(thm)],[c_13928]) ).

tcf(c_14449,plain,
    ( c2_1(a744)
    | c1_1(a744)
    | ~ iPr_def_34
    | ~ c3_1(a744) ),
    inference(instantiation,[status(thm)],[c_13943]) ).

tcf(c_14451,plain,
    ( c2_1(a730)
    | c1_1(a730)
    | ~ iPr_def_34
    | ~ c3_1(a730) ),
    inference(instantiation,[status(thm)],[c_13943]) ).

tcf(c_14457,plain,
    ( c3_1(a798)
    | ~ iPr_def_29
    | ~ c1_1(a798)
    | ~ c0_1(a798) ),
    inference(instantiation,[status(thm)],[c_13928]) ).

tcf(c_14488,plain,
    ( c1_1(a730)
    | ~ iPr_def_35
    | ~ c3_1(a730)
    | ~ c0_1(a730) ),
    inference(instantiation,[status(thm)],[c_13945]) ).

tcf(c_14490,plain,
    ( c2_1(a775)
    | c0_1(a775)
    | ~ iPr_def_30
    | ~ c1_1(a775) ),
    inference(instantiation,[status(thm)],[c_13930]) ).

tcf(c_14556,plain,
    ( c2_1(a731)
    | c0_1(a731)
    | ~ iPr_def_30
    | ~ c1_1(a731) ),
    inference(instantiation,[status(thm)],[c_13930]) ).

tcf(c_14560,plain,
    ( c0_1(a731)
    | ~ iPr_def_18
    | ~ c3_1(a731)
    | ~ c1_1(a731) ),
    inference(instantiation,[status(thm)],[c_13911]) ).

tcf(c_14572,plain,
    ( c2_1(a732)
    | c3_1(a732)
    | c0_1(a732)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_13957]) ).

tcf(c_14573,plain,
    ( c2_1(a732)
    | c0_1(a732)
    | ~ iPr_def_30
    | ~ c1_1(a732) ),
    inference(instantiation,[status(thm)],[c_13930]) ).

tcf(c_14594,plain,
    ( c2_1(a734)
    | c0_1(a734)
    | ~ iPr_def_30
    | ~ c1_1(a734) ),
    inference(instantiation,[status(thm)],[c_13930]) ).

tcf(c_14653,plain,
    ( c2_1(a746)
    | c0_1(a746)
    | ~ iPr_def_30
    | ~ c1_1(a746) ),
    inference(instantiation,[status(thm)],[c_13930]) ).

tcf(c_14795,plain,
    ( c1_1(a759)
    | ~ iPr_def_13
    | ~ c2_1(a759)
    | ~ c3_1(a759) ),
    inference(instantiation,[status(thm)],[c_13904]) ).

tcf(c_14893,plain,
    ( c3_1(a764)
    | c1_1(a764)
    | ~ iPr_def_20
    | ~ c2_1(a764) ),
    inference(instantiation,[status(thm)],[c_13914]) ).

tcf(c_14900,plain,
    ( c0_1(a735)
    | ~ iPr_def_27
    | ~ c2_1(a735)
    | ~ c1_1(a735) ),
    inference(instantiation,[status(thm)],[c_13925]) ).

tcf(c_14997,plain,
    ( c0_1(a741)
    | ~ iPr_def_27
    | ~ c2_1(a741)
    | ~ c1_1(a741) ),
    inference(instantiation,[status(thm)],[c_13925]) ).

tcf(c_15003,plain,
    ( c0_1(a741)
    | ~ iPr_def_18
    | ~ c3_1(a741)
    | ~ c1_1(a741) ),
    inference(instantiation,[status(thm)],[c_13911]) ).

tcf(c_15019,plain,
    ( hskp21
    | ~ c2_1(a759)
    | ~ c3_1(a759)
    | ~ c0_1(a759) ),
    inference(instantiation,[status(thm)],[c_529]) ).

tcf(c_15020,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15019,c_14997,c_15003,c_14900,c_14893,c_14795,c_14653,c_14594,c_14572,c_14573,c_14556,c_14560,c_14490,c_14488,c_14457,c_14451,c_14449,c_14441,c_14427,c_14409,c_14397,c_14399,c_14329,c_14249,c_14242,c_14241,c_14238,c_14234,c_14231,c_14222,c_14219,c_14205,c_14208,c_14203,c_14170,c_14141,c_14127,c_14118,c_14117,c_14105,c_14100,c_14102,c_14093,c_14094,c_14085,c_14077,c_14076,c_14075,c_14068,c_14066,c_14055,c_14032,c_14026,c_14023,c_14022,c_14017,c_14016,c_14015,c_14013,c_14012,c_14011,c_14010,c_14000,c_13980,c_13978,c_13976,c_13975,c_13968,c_13964,c_13963,c_13952,c_13951,c_13950,c_13948,c_13946,c_13944,c_13942,c_13941,c_13938,c_13935,c_13932,c_13929,c_13927,c_13917,c_13913,c_13910,c_13906,c_13903,c_5766,c_5759,c_5752,c_4851,c_4841,c_4831,c_2455,c_2448,c_2441,c_1945,c_1931,c_1917,c_1699,c_1689,c_1679,c_306,c_309,c_310,c_311,c_314,c_315,c_317,c_318,c_321,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_336,c_339,c_340,c_341,c_342,c_343,c_344,c_345,c_268,c_269,c_270,c_272,c_273,c_275,c_276,c_277,c_279,c_282,c_283,c_284,c_285,c_287,c_288,c_291,c_292,c_293,c_294,c_296,c_297,c_299,c_300,c_301,c_302,c_303]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN451-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n003.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 01:17:38 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running EPR theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42  
% 0.11/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42  
% 0.11/0.42  % Detected problem language: tptp
% 0.11/0.43  % Proving...
% 3.66/1.15  % SZS status Started for theBenchmark.p
% 3.66/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.15  
% 3.66/1.15  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.66/1.15  
% 3.66/1.15  % ------  iProver source info
% 3.66/1.15  
% 3.66/1.15  % git: date: 2026-07-19 20:42:38 +0200
% 3.66/1.15  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.66/1.15  % git: non_committed_changes: false
% 3.66/1.15  
% 3.66/1.15  % ------ Parsing...% successful
% 3.66/1.15  
% 3.66/1.15  
% 3.66/1.15  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.66/1.15  % 
% 3.66/1.15  
% 3.66/1.15  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.66/1.15  
% 3.66/1.15  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.66/1.15   gs_s  sp: 90 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.66/1.15  % ------ Proving...
% 3.66/1.15  % ------ Problem Properties 
% 3.66/1.15  
% 3.66/1.15  % 
% 3.66/1.15  % clauses                               176
% 3.66/1.15  % conjectures                           173
% 3.66/1.15  % EPR                                   176
% 3.66/1.15  % Horn                                  100
% 3.66/1.15  % unary                                 0
% 3.66/1.15  % binary                                85
% 3.66/1.15  % lits                                  475
% 3.66/1.15  % lits eq                               0
% 3.66/1.15  % fd_pure                               0
% 3.66/1.15  % fd_pseudo                             0
% 3.66/1.15  % fd_cond                               0
% 3.66/1.15  % fd_pseudo_cond                        0
% 3.66/1.15  % AC symbols                            0
% 3.66/1.15  
% 3.66/1.15  % ------ Schedule EPR non Horn non eq is on
% 3.66/1.15  
% 3.66/1.15  % ------ no equalities: superposition off 
% 3.66/1.15  
% 3.66/1.15  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.66/1.15  
% 3.66/1.15  
% 3.66/1.15  % ------ 
% 3.66/1.15  % Current options:
% 3.66/1.15  % ------ 
% 3.66/1.15  
% 3.66/1.15  
% 3.66/1.15  % 
% 3.66/1.15  
% 3.66/1.15  % ------ Proving...
% 3.66/1.15  % 
% 3.66/1.15  
% 3.66/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.15  
% 3.66/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/1.16  
% 3.66/1.16  
%------------------------------------------------------------------------------