%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN469-1 : 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 : 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 03:40:23 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.17s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 106
% Syntax : Number of formulae : 434 ( 2 unt; 0 def)
% Number of atoms : 1922 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2451 ( 963 ~;1488 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 58 ( 57 usr; 54 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 322 ( 0 sgn 322 !; 0 ?; 247 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f22,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f31,negated_conjecture,
( hskp3
| hskp7
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp23
| hskp20
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f37,negated_conjecture,
( c0_1(a412)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( c1_1(a412)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( c2_1(a412)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f47,negated_conjecture,
( c1_1(a460)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c0_1(a451)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c2_1(a451)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c1_1(a449)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c3_1(a449)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f54,negated_conjecture,
( c0_1(a440)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c1_1(a434)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f58,negated_conjecture,
( c2_1(a428)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c1_1(a427)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c2_1(a427)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c0_1(a426)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c1_1(a426)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c1_1(a418)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c3_1(a416)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c2_1(a415)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c3_1(a415)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c0_1(a410)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f69,negated_conjecture,
( c2_1(a408)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c3_1(a408)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c0_1(a404)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a404)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c0_1(a402)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c0_1(a401)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c1_1(a401)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c1_1(a400)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c2_1(a400)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f80,negated_conjecture,
( ~ hskp23
| ~ c2_1(a460) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp23
| ~ c3_1(a460) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp22
| ~ c1_1(a451) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f86,negated_conjecture,
( ~ hskp20
| ~ c2_1(a449) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f88,negated_conjecture,
( ~ hskp18
| ~ c2_1(a440) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp18
| ~ c3_1(a440) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f93,negated_conjecture,
( ~ hskp16
| ~ c0_1(a434) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp16
| ~ c3_1(a434) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f96,negated_conjecture,
( ~ hskp14
| ~ c0_1(a428) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ hskp14
| ~ c1_1(a428) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp13
| ~ c0_1(a427) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp12
| ~ c2_1(a426) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp11
| ~ c0_1(a420) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp11
| ~ c1_1(a420) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp11
| ~ c2_1(a420) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp10
| ~ c0_1(a418) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp10
| ~ c2_1(a418) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp9
| ~ c0_1(a416) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp9
| ~ c1_1(a416) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp8
| ~ c1_1(a415) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp7
| ~ c1_1(a410) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp7
| ~ c3_1(a410) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f112,negated_conjecture,
( ~ hskp5
| ~ c0_1(a408) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp4
| ~ c2_1(a404) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp3
| ~ c0_1(a403) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp3
| ~ c2_1(a403) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp3
| ~ c3_1(a403) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp2
| ~ c1_1(a402) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp2
| ~ c2_1(a402) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp1
| ~ c3_1(a401) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp0
| ~ c3_1(a400) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
! [X0] :
( hskp2
| hskp1
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
! [X0] :
( hskp0
| hskp27
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f125,negated_conjecture,
! [X0] :
( hskp9
| hskp8
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
! [X0] :
( hskp11
| hskp0
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
! [X0] :
( hskp3
| hskp5
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f130,negated_conjecture,
! [X0] :
( hskp1
| hskp12
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp7
| hskp2
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( hskp20
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp23
| hskp27
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp9
| hskp12
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp16
| hskp7
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp13
| hskp2
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp5
| hskp4
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp11
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f150,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f154,negated_conjecture,
! [X0,X1] :
( hskp7
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp1
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp1
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp22
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp11
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| 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',clause181) ).
fof(f182,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
tcf(c_245,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_253,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_257,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_260,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_262,negated_conjecture,
( hskp3
| hskp7
| hskp15 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_263,negated_conjecture,
( hskp18
| hskp20
| hskp23 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_268,negated_conjecture,
( c0_1(a412)
| ~ hskp27 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_269,negated_conjecture,
( c1_1(a412)
| ~ hskp27 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_270,negated_conjecture,
( c2_1(a412)
| ~ hskp27 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_278,negated_conjecture,
( c1_1(a460)
| ~ hskp23 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_279,negated_conjecture,
( c0_1(a451)
| ~ hskp22 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_280,negated_conjecture,
( c2_1(a451)
| ~ hskp22 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_281,negated_conjecture,
( c1_1(a449)
| ~ hskp20 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_282,negated_conjecture,
( c3_1(a449)
| ~ hskp20 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_285,negated_conjecture,
( c0_1(a440)
| ~ hskp18 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_286,negated_conjecture,
( c1_1(a434)
| ~ hskp16 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_289,negated_conjecture,
( c2_1(a428)
| ~ hskp14 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_290,negated_conjecture,
( c1_1(a427)
| ~ hskp13 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_291,negated_conjecture,
( c2_1(a427)
| ~ hskp13 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_292,negated_conjecture,
( c0_1(a426)
| ~ hskp12 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_293,negated_conjecture,
( c1_1(a426)
| ~ hskp12 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_294,negated_conjecture,
( c1_1(a418)
| ~ hskp10 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_295,negated_conjecture,
( c3_1(a416)
| ~ hskp9 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_296,negated_conjecture,
( c2_1(a415)
| ~ hskp8 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_297,negated_conjecture,
( c3_1(a415)
| ~ hskp8 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_298,negated_conjecture,
( c0_1(a410)
| ~ hskp7 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_300,negated_conjecture,
( c2_1(a408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_301,negated_conjecture,
( c3_1(a408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_302,negated_conjecture,
( c0_1(a404)
| ~ hskp4 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_303,negated_conjecture,
( c3_1(a404)
| ~ hskp4 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_304,negated_conjecture,
( c0_1(a402)
| ~ hskp2 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_305,negated_conjecture,
( c0_1(a401)
| ~ hskp1 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_306,negated_conjecture,
( c1_1(a401)
| ~ hskp1 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_307,negated_conjecture,
( c1_1(a400)
| ~ hskp0 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_308,negated_conjecture,
( c2_1(a400)
| ~ hskp0 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_311,negated_conjecture,
( ~ hskp23
| ~ c2_1(a460) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_312,negated_conjecture,
( ~ hskp23
| ~ c3_1(a460) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_313,negated_conjecture,
( ~ hskp22
| ~ c1_1(a451) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_317,negated_conjecture,
( ~ hskp20
| ~ c2_1(a449) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_319,negated_conjecture,
( ~ hskp18
| ~ c2_1(a440) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_320,negated_conjecture,
( ~ hskp18
| ~ c3_1(a440) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_324,negated_conjecture,
( ~ hskp16
| ~ c0_1(a434) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_325,negated_conjecture,
( ~ hskp16
| ~ c3_1(a434) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_327,negated_conjecture,
( ~ hskp14
| ~ c0_1(a428) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_328,negated_conjecture,
( ~ hskp14
| ~ c1_1(a428) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_329,negated_conjecture,
( ~ hskp13
| ~ c0_1(a427) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_330,negated_conjecture,
( ~ hskp12
| ~ c2_1(a426) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_331,negated_conjecture,
( ~ hskp11
| ~ c0_1(a420) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_332,negated_conjecture,
( ~ hskp11
| ~ c1_1(a420) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_333,negated_conjecture,
( ~ hskp11
| ~ c2_1(a420) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_334,negated_conjecture,
( ~ hskp10
| ~ c0_1(a418) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_335,negated_conjecture,
( ~ hskp10
| ~ c2_1(a418) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_336,negated_conjecture,
( ~ hskp9
| ~ c0_1(a416) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_337,negated_conjecture,
( ~ hskp9
| ~ c1_1(a416) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_338,negated_conjecture,
( ~ hskp8
| ~ c1_1(a415) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_339,negated_conjecture,
( ~ hskp7
| ~ c1_1(a410) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_340,negated_conjecture,
( ~ hskp7
| ~ c3_1(a410) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_343,negated_conjecture,
( ~ hskp5
| ~ c0_1(a408) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_344,negated_conjecture,
( ~ hskp4
| ~ c2_1(a404) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_345,negated_conjecture,
( ~ hskp3
| ~ c0_1(a403) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_346,negated_conjecture,
( ~ hskp3
| ~ c2_1(a403) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_347,negated_conjecture,
( ~ hskp3
| ~ c3_1(a403) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_348,negated_conjecture,
( ~ hskp2
| ~ c1_1(a402) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_349,negated_conjecture,
( ~ hskp2
| ~ c2_1(a402) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_350,negated_conjecture,
( ~ hskp1
| ~ c3_1(a401) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_351,negated_conjecture,
( ~ hskp0
| ~ c3_1(a400) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_352,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c1_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_353,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp27
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_356,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp5
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp12
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp7
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_365,negated_conjecture,
! [X0: $i] :
( hskp20
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_371,negated_conjecture,
! [X0: $i] :
( hskp23
| hskp27
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_372,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp12
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp16
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp13
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_376,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_379,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_381,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_382,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_383,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_385,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c1_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_387,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_391,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_396,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_405,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_411,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_412,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_447,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_260,c_262,c_257,c_253,c_245]) ).
tcf(c_505,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp27
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_353,c_262,c_257,c_253,c_245,c_353]) ).
tcf(c_508,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_352,c_262,c_257,c_253,c_245,c_352]) ).
tcf(c_511,plain,
! [X0: $i] :
( hskp20
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_262,c_257,c_253,c_245,c_365]) ).
tcf(c_512,negated_conjecture,
! [X0: $i] :
( hskp20
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_511]) ).
tcf(c_514,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp7
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_364,c_262,c_257,c_253,c_245,c_364]) ).
tcf(c_523,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp12
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_262,c_257,c_253,c_245,c_361]) ).
tcf(c_532,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp5
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_358,c_262,c_257,c_253,c_245,c_358]) ).
tcf(c_535,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_357,c_262,c_257,c_253,c_245,c_357]) ).
tcf(c_538,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_356,c_262,c_257,c_253,c_245,c_356]) ).
tcf(c_550,plain,
! [X0: $i] :
( hskp4
| hskp5
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_376,c_262,c_257,c_253,c_245,c_376]) ).
tcf(c_551,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_550]) ).
tcf(c_553,plain,
! [X0: $i] :
( hskp2
| hskp13
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_262,c_257,c_253,c_245,c_375]) ).
tcf(c_554,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp13
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_553]) ).
tcf(c_559,plain,
! [X0: $i] :
( hskp7
| hskp16
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_262,c_257,c_253,c_245,c_373]) ).
tcf(c_560,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp16
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_559]) ).
tcf(c_562,plain,
! [X0: $i] :
( hskp9
| hskp12
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_372,c_262,c_257,c_253,c_245,c_372]) ).
tcf(c_563,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp12
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_562]) ).
tcf(c_565,plain,
! [X0: $i] :
( hskp23
| hskp27
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_371,c_262,c_257,c_253,c_245,c_371]) ).
tcf(c_566,negated_conjecture,
! [X0: $i] :
( hskp23
| hskp27
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_565]) ).
tcf(c_586,plain,
! [X0: $i] :
( hskp11
| hskp22
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_262,c_257,c_253,c_245,c_379]) ).
tcf(c_587,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp22
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_586]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( 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_391,c_262,c_257,c_253,c_245,c_391]) ).
tcf(c_593,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_592]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_262,c_257,c_253,c_245,c_387]) ).
tcf(c_602,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_601]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( hskp7
| c1_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_262,c_257,c_253,c_245,c_385]) ).
tcf(c_606,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c1_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_609,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_262,c_257,c_253,c_245,c_383,c_393]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_382,c_262,c_257,c_253,c_245,c_382]) ).
tcf(c_612,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_381,c_262,c_257,c_253,c_245,c_381]) ).
tcf(c_614,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_613]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_262,c_257,c_253,c_245,c_400]) ).
tcf(c_616,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_615]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i] :
( c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_262,c_257,c_253,c_245,c_398]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_262,c_257,c_253,c_245,c_397]) ).
tcf(c_622,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_262,c_257,c_253,c_245,c_396]) ).
tcf(c_624,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_623]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_262,c_257,c_253,c_245,c_395]) ).
tcf(c_626,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_625]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_262,c_257,c_253,c_245,c_394]) ).
tcf(c_628,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_627]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_609]) ).
tcf(c_631,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_262,c_257,c_253,c_245,c_392]) ).
tcf(c_633,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_632]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_262,c_257,c_253,c_245,c_402]) ).
tcf(c_639,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X0)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_638]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_262,c_257,c_253,c_245,c_401]) ).
tcf(c_641,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_640]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_262,c_257,c_253,c_245,c_405]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_642]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_262,c_257,c_253,c_245,c_407]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_262,c_257,c_253,c_245,c_406]) ).
tcf(c_648,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_647]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_262,c_257,c_253,c_245,c_408]) ).
tcf(c_650,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_649]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_411,c_411,c_447]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_262,c_257,c_253,c_245,c_410]) ).
tcf(c_654,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_653]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_262,c_257,c_253,c_245,c_409]) ).
tcf(c_656,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_655]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_262,c_257,c_253,c_245,c_412]) ).
tcf(c_658,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_657]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_262,c_257,c_253,c_245,c_414]) ).
tcf(c_660,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_659]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_262,c_257,c_253,c_245,c_413]) ).
tcf(c_662,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_661]) ).
tcf(c_2336,plain,
( hskp20
| hskp23
| ~ c3_1(a440) ),
inference(resolution,[status(thm)],[c_263,c_320]) ).
tcf(c_2346,plain,
( hskp20
| hskp23
| ~ c2_1(a440) ),
inference(resolution,[status(thm)],[c_263,c_319]) ).
tcf(c_2356,plain,
( hskp20
| hskp23
| c0_1(a440) ),
inference(resolution,[status(thm)],[c_263,c_285]) ).
tcf(c_15045,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_662]) ).
tcf(c_15046,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_662]) ).
tcf(c_15047,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_662]) ).
tcf(c_15048,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).
tcf(c_15049,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_660]) ).
tcf(c_15050,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_660]) ).
tcf(c_15051,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_660]) ).
tcf(c_15052,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_660]) ).
tcf(c_15053,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_658]) ).
tcf(c_15054,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_658]) ).
tcf(c_15055,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_658]) ).
tcf(c_15056,negated_conjecture,
( iPr_def_18
| iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).
tcf(c_15057,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_656]) ).
tcf(c_15058,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_656]) ).
tcf(c_15060,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_654]) ).
tcf(c_15061,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_654]) ).
tcf(c_15062,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_654]) ).
tcf(c_15063,negated_conjecture,
( iPr_def_23
| iPr_def_22
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).
tcf(c_15064,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_652]) ).
tcf(c_15065,negated_conjecture,
( iPr_def_24
| iPr_def_22
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_15066,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_650]) ).
tcf(c_15067,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_650]) ).
tcf(c_15068,negated_conjecture,
( iPr_def_26
| iPr_def_25
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).
tcf(c_15069,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_648]) ).
tcf(c_15070,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_648]) ).
tcf(c_15072,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_646]) ).
tcf(c_15073,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_646]) ).
tcf(c_15074,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_15075,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_643]) ).
tcf(c_15076,negated_conjecture,
( iPr_def_31
| iPr_def_18
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_643]) ).
tcf(c_15077,negated_conjecture,
( iPr_def_23
| iPr_def_16
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).
tcf(c_15078,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_639]) ).
tcf(c_15079,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_639]) ).
tcf(c_15080,negated_conjecture,
( iPr_def_33
| iPr_def_32
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_639]) ).
tcf(c_15083,negated_conjecture,
( iPr_def_25
| iPr_def_16
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).
tcf(c_15084,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_628]) ).
tcf(c_15085,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_628]) ).
tcf(c_15086,negated_conjecture,
( iPr_def_35
| iPr_def_34
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).
tcf(c_15087,negated_conjecture,
( iPr_def_26
| iPr_def_23
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).
tcf(c_15088,negated_conjecture,
( iPr_def_35
| iPr_def_26
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).
tcf(c_15089,negated_conjecture,
( iPr_def_33
| iPr_def_10
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_15090,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_620]) ).
tcf(c_15091,negated_conjecture,
( iPr_def_36
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_15093,negated_conjecture,
( iPr_def_35
| iPr_def_24
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_616]) ).
tcf(c_15094,negated_conjecture,
( iPr_def_23
| iPr_def_17
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).
tcf(c_15095,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_612]) ).
tcf(c_15096,negated_conjecture,
( iPr_def_37
| iPr_def_27
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_15097,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_631]) ).
tcf(c_15098,negated_conjecture,
( iPr_def_38
| iPr_def_34
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_15100,negated_conjecture,
( iPr_def_29
| iPr_def_25
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).
tcf(c_15102,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_602]) ).
tcf(c_15103,negated_conjecture,
( iPr_def_39
| iPr_def_33
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).
tcf(c_15107,negated_conjecture,
( iPr_def_28
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).
tcf(c_15109,negated_conjecture,
( iPr_def_18
| hskp11
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_15116,negated_conjecture,
( iPr_def_13
| hskp23
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_566]) ).
tcf(c_15117,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_563]) ).
tcf(c_15118,negated_conjecture,
( iPr_def_40
| hskp9
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).
tcf(c_15119,negated_conjecture,
( iPr_def_40
| hskp7
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_560]) ).
tcf(c_15121,negated_conjecture,
( iPr_def_35
| hskp2
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_554]) ).
tcf(c_15122,negated_conjecture,
( iPr_def_16
| hskp4
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_551]) ).
tcf(c_15126,negated_conjecture,
( iPr_def_21
| hskp8
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).
tcf(c_15127,negated_conjecture,
( iPr_def_34
| hskp0
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_535]) ).
tcf(c_15128,negated_conjecture,
( iPr_def_34
| hskp3
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).
tcf(c_15131,negated_conjecture,
( iPr_def_33
| hskp1
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).
tcf(c_15134,negated_conjecture,
( iPr_def_29
| hskp2
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).
tcf(c_15135,negated_conjecture,
( iPr_def_17
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_15136,negated_conjecture,
( iPr_def_30
| hskp0
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).
tcf(c_15147,plain,
( c3_1(a400)
| c0_1(a400)
| ~ iPr_def_26
| ~ c2_1(a400) ),
inference(instantiation,[status(thm)],[c_15067]) ).
tcf(c_15153,plain,
( c0_1(a400)
| ~ iPr_def_10
| ~ c1_1(a400)
| ~ c2_1(a400) ),
inference(instantiation,[status(thm)],[c_15045]) ).
tcf(c_15157,plain,
( c3_1(a400)
| ~ iPr_def_16
| ~ c1_1(a400)
| ~ c0_1(a400) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15163,plain,
( c3_1(a400)
| ~ iPr_def_37
| ~ c1_1(a400)
| ~ c2_1(a400) ),
inference(instantiation,[status(thm)],[c_15095]) ).
tcf(c_15165,plain,
( ~ iPr_def_15
| ~ c1_1(a400)
| ~ c2_1(a400)
| ~ c0_1(a400) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_15171,plain,
( c1_1(a416)
| ~ iPr_def_11
| ~ c3_1(a416)
| ~ c2_1(a416) ),
inference(instantiation,[status(thm)],[c_15046]) ).
tcf(c_15177,plain,
( c2_1(a404)
| ~ iPr_def_13
| ~ c1_1(a404)
| ~ c0_1(a404) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_15179,plain,
( c2_1(a401)
| ~ iPr_def_13
| ~ c1_1(a401)
| ~ c0_1(a401) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_15186,plain,
( c3_1(a401)
| ~ iPr_def_16
| ~ c1_1(a401)
| ~ c0_1(a401) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15189,plain,
( c1_1(a428)
| c0_1(a428)
| ~ iPr_def_19
| ~ c2_1(a428) ),
inference(instantiation,[status(thm)],[c_15057]) ).
tcf(c_15197,plain,
( c1_1(a404)
| ~ iPr_def_20
| ~ c3_1(a404)
| ~ c0_1(a404) ),
inference(instantiation,[status(thm)],[c_15058]) ).
tcf(c_15201,plain,
( c1_1(a416)
| c2_1(a416)
| ~ iPr_def_22
| ~ c3_1(a416) ),
inference(instantiation,[status(thm)],[c_15061]) ).
tcf(c_15203,plain,
( c1_1(a451)
| c3_1(a451)
| ~ iPr_def_28
| ~ c2_1(a451) ),
inference(instantiation,[status(thm)],[c_15070]) ).
tcf(c_15205,plain,
( c1_1(a428)
| c3_1(a428)
| ~ iPr_def_28
| ~ c2_1(a428) ),
inference(instantiation,[status(thm)],[c_15070]) ).
tcf(c_15207,plain,
( c1_1(a410)
| c3_1(a410)
| ~ iPr_def_28
| ~ c2_1(a410) ),
inference(instantiation,[status(thm)],[c_15070]) ).
tcf(c_15214,plain,
( c2_1(a449)
| ~ iPr_def_13
| ~ c1_1(a449)
| ~ c0_1(a449) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_15218,plain,
( c2_1(a426)
| ~ iPr_def_13
| ~ c1_1(a426)
| ~ c0_1(a426) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_15223,plain,
( c0_1(a427)
| ~ iPr_def_10
| ~ c1_1(a427)
| ~ c2_1(a427) ),
inference(instantiation,[status(thm)],[c_15045]) ).
tcf(c_15226,plain,
( c3_1(a412)
| ~ iPr_def_16
| ~ c1_1(a412)
| ~ c0_1(a412) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15230,plain,
( c3_1(a426)
| ~ iPr_def_16
| ~ c1_1(a426)
| ~ c0_1(a426) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15235,plain,
( c1_1(a420)
| c2_1(a420)
| c0_1(a420)
| ~ iPr_def_17 ),
inference(instantiation,[status(thm)],[c_15054]) ).
tcf(c_15239,plain,
( c1_1(a403)
| c2_1(a403)
| c0_1(a403)
| ~ iPr_def_17 ),
inference(instantiation,[status(thm)],[c_15054]) ).
tcf(c_15250,plain,
( c3_1(a427)
| c0_1(a427)
| ~ iPr_def_26
| ~ c2_1(a427) ),
inference(instantiation,[status(thm)],[c_15067]) ).
tcf(c_15260,plain,
( c1_1(a416)
| c0_1(a416)
| ~ iPr_def_25
| ~ c3_1(a416) ),
inference(instantiation,[status(thm)],[c_15066]) ).
tcf(c_15264,plain,
( c0_1(a449)
| ~ iPr_def_36
| ~ c1_1(a449)
| ~ c3_1(a449) ),
inference(instantiation,[status(thm)],[c_15090]) ).
tcf(c_15269,plain,
( c2_1(a449)
| c0_1(a449)
| ~ iPr_def_21
| ~ c1_1(a449) ),
inference(instantiation,[status(thm)],[c_15060]) ).
tcf(c_15273,plain,
( c2_1(a418)
| c0_1(a418)
| ~ iPr_def_21
| ~ c1_1(a418) ),
inference(instantiation,[status(thm)],[c_15060]) ).
tcf(c_15291,plain,
( c1_1(a440)
| c3_1(a440)
| ~ iPr_def_33
| ~ c0_1(a440) ),
inference(instantiation,[status(thm)],[c_15079]) ).
tcf(c_15293,plain,
( c1_1(a410)
| c3_1(a410)
| ~ iPr_def_33
| ~ c0_1(a410) ),
inference(instantiation,[status(thm)],[c_15079]) ).
tcf(c_15295,plain,
( c1_1(a402)
| c3_1(a402)
| ~ iPr_def_33
| ~ c0_1(a402) ),
inference(instantiation,[status(thm)],[c_15079]) ).
tcf(c_15309,plain,
( c0_1(a416)
| ~ iPr_def_23
| ~ c3_1(a416)
| ~ c2_1(a416) ),
inference(instantiation,[status(thm)],[c_15062]) ).
tcf(c_15340,plain,
( c1_1(a451)
| ~ iPr_def_11
| ~ c3_1(a451)
| ~ c2_1(a451) ),
inference(instantiation,[status(thm)],[c_15046]) ).
tcf(c_15346,plain,
( c1_1(a428)
| ~ iPr_def_11
| ~ c3_1(a428)
| ~ c2_1(a428) ),
inference(instantiation,[status(thm)],[c_15046]) ).
tcf(c_15361,plain,
( hskp20
| c3_1(a426)
| ~ c1_1(a426)
| ~ c0_1(a426) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_15369,plain,
( c2_1(a449)
| c0_1(a449)
| ~ iPr_def_34
| ~ c3_1(a449) ),
inference(instantiation,[status(thm)],[c_15084]) ).
tcf(c_15371,plain,
( c2_1(a416)
| c0_1(a416)
| ~ iPr_def_34
| ~ c3_1(a416) ),
inference(instantiation,[status(thm)],[c_15084]) ).
tcf(c_15385,plain,
( c3_1(a426)
| c2_1(a426)
| ~ iPr_def_24
| ~ c0_1(a426) ),
inference(instantiation,[status(thm)],[c_15064]) ).
tcf(c_15386,plain,
( c3_1(a410)
| c2_1(a410)
| ~ iPr_def_24
| ~ c0_1(a410) ),
inference(instantiation,[status(thm)],[c_15064]) ).
tcf(c_15388,plain,
( c3_1(a402)
| c2_1(a402)
| ~ iPr_def_24
| ~ c0_1(a402) ),
inference(instantiation,[status(thm)],[c_15064]) ).
tcf(c_15389,plain,
( c3_1(a401)
| c2_1(a401)
| ~ iPr_def_24
| ~ c0_1(a401) ),
inference(instantiation,[status(thm)],[c_15064]) ).
tcf(c_15401,plain,
( c0_1(a427)
| ~ iPr_def_23
| ~ c3_1(a427)
| ~ c2_1(a427) ),
inference(instantiation,[status(thm)],[c_15062]) ).
tcf(c_15472,plain,
( c3_1(a460)
| c2_1(a460)
| ~ iPr_def_29
| ~ c1_1(a460) ),
inference(instantiation,[status(thm)],[c_15072]) ).
tcf(c_15475,plain,
( c3_1(a460)
| ~ iPr_def_16
| ~ c1_1(a460)
| ~ c0_1(a460) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15508,plain,
( c2_1(a449)
| ~ iPr_def_40
| ~ c3_1(a449)
| ~ c0_1(a449) ),
inference(instantiation,[status(thm)],[c_15117]) ).
tcf(c_15510,plain,
( c2_1(a404)
| ~ iPr_def_40
| ~ c3_1(a404)
| ~ c0_1(a404) ),
inference(instantiation,[status(thm)],[c_15117]) ).
tcf(c_15517,plain,
( c2_1(a426)
| ~ iPr_def_40
| ~ c3_1(a426)
| ~ c0_1(a426) ),
inference(instantiation,[status(thm)],[c_15117]) ).
tcf(c_15518,plain,
( ~ iPr_def_15
| ~ c1_1(a412)
| ~ c2_1(a412)
| ~ c0_1(a412) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_15531,plain,
( c2_1(a402)
| ~ iPr_def_40
| ~ c3_1(a402)
| ~ c0_1(a402) ),
inference(instantiation,[status(thm)],[c_15117]) ).
tcf(c_15536,plain,
( c1_1(a402)
| c2_1(a402)
| ~ iPr_def_22
| ~ c3_1(a402) ),
inference(instantiation,[status(thm)],[c_15061]) ).
tcf(c_15537,plain,
( c1_1(a402)
| ~ iPr_def_20
| ~ c3_1(a402)
| ~ c0_1(a402) ),
inference(instantiation,[status(thm)],[c_15058]) ).
tcf(c_15832,plain,
( c3_1(a412)
| ~ iPr_def_12
| ~ c2_1(a412)
| ~ c0_1(a412) ),
inference(instantiation,[status(thm)],[c_15047]) ).
tcf(c_15835,plain,
( c3_1(a401)
| ~ iPr_def_12
| ~ c2_1(a401)
| ~ c0_1(a401) ),
inference(instantiation,[status(thm)],[c_15047]) ).
tcf(c_15854,plain,
( ~ iPr_def_18
| ~ c3_1(a412)
| ~ c2_1(a412)
| ~ c0_1(a412) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_15873,plain,
( c1_1(a415)
| ~ iPr_def_11
| ~ c3_1(a415)
| ~ c2_1(a415) ),
inference(instantiation,[status(thm)],[c_15046]) ).
tcf(c_15880,plain,
( c1_1(a402)
| c2_1(a402)
| ~ iPr_def_14
| ~ c0_1(a402) ),
inference(instantiation,[status(thm)],[c_15050]) ).
tcf(c_15893,plain,
( c3_1(a440)
| c2_1(a440)
| ~ iPr_def_29
| ~ c1_1(a440) ),
inference(instantiation,[status(thm)],[c_15072]) ).
tcf(c_15897,plain,
( c3_1(a403)
| c2_1(a403)
| ~ iPr_def_29
| ~ c1_1(a403) ),
inference(instantiation,[status(thm)],[c_15072]) ).
tcf(c_15903,plain,
( c2_1(a449)
| ~ iPr_def_35
| ~ c1_1(a449)
| ~ c3_1(a449) ),
inference(instantiation,[status(thm)],[c_15085]) ).
tcf(c_15971,plain,
( c2_1(a426)
| ~ iPr_def_35
| ~ c1_1(a426)
| ~ c3_1(a426) ),
inference(instantiation,[status(thm)],[c_15085]) ).
tcf(c_15993,plain,
( c0_1(a408)
| ~ iPr_def_23
| ~ c3_1(a408)
| ~ c2_1(a408) ),
inference(instantiation,[status(thm)],[c_15062]) ).
tcf(c_15995,plain,
( c1_1(a408)
| c0_1(a408)
| ~ iPr_def_25
| ~ c3_1(a408) ),
inference(instantiation,[status(thm)],[c_15066]) ).
tcf(c_16011,plain,
( c1_1(a416)
| ~ iPr_def_38
| ~ c2_1(a416) ),
inference(instantiation,[status(thm)],[c_15097]) ).
tcf(c_16021,plain,
( hskp20
| c3_1(a401)
| ~ c1_1(a401)
| ~ c0_1(a401) ),
inference(instantiation,[status(thm)],[c_512]) ).
tcf(c_16031,plain,
( ~ iPr_def_15
| ~ c1_1(a401)
| ~ c2_1(a401)
| ~ c0_1(a401) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_16054,plain,
( c3_1(a401)
| c2_1(a401)
| ~ iPr_def_29
| ~ c1_1(a401) ),
inference(instantiation,[status(thm)],[c_15072]) ).
tcf(c_16068,plain,
( c3_1(a460)
| c2_1(a460)
| c0_1(a460)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_15073]) ).
tcf(c_16076,plain,
( ~ iPr_def_32
| ~ c1_1(a408)
| ~ c3_1(a408)
| ~ c2_1(a408) ),
inference(instantiation,[status(thm)],[c_15078]) ).
tcf(c_16185,plain,
( c1_1(a420)
| c3_1(a420)
| c0_1(a420)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_15069]) ).
tcf(c_16213,plain,
( ~ iPr_def_18
| ~ c3_1(a451)
| ~ c2_1(a451)
| ~ c0_1(a451) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_16243,plain,
( c2_1(a420)
| c0_1(a420)
| ~ iPr_def_34
| ~ c3_1(a420) ),
inference(instantiation,[status(thm)],[c_15084]) ).
tcf(c_16247,plain,
( c1_1(a420)
| c2_1(a420)
| ~ iPr_def_22
| ~ c3_1(a420) ),
inference(instantiation,[status(thm)],[c_15061]) ).
tcf(c_16286,plain,
( c1_1(a451)
| ~ iPr_def_31
| ~ c2_1(a451)
| ~ c0_1(a451) ),
inference(instantiation,[status(thm)],[c_15075]) ).
tcf(c_16290,plain,
( c3_1(a403)
| c0_1(a403)
| ~ iPr_def_39
| ~ c1_1(a403) ),
inference(instantiation,[status(thm)],[c_15102]) ).
tcf(c_16320,plain,
( c3_1(a434)
| c0_1(a434)
| ~ iPr_def_39
| ~ c1_1(a434) ),
inference(instantiation,[status(thm)],[c_15102]) ).
tcf(c_16326,plain,
( c2_1(a434)
| c0_1(a434)
| ~ iPr_def_21
| ~ c1_1(a434) ),
inference(instantiation,[status(thm)],[c_15060]) ).
tcf(c_16327,plain,
( c2_1(a403)
| c0_1(a403)
| ~ iPr_def_21
| ~ c1_1(a403) ),
inference(instantiation,[status(thm)],[c_15060]) ).
tcf(c_16329,plain,
( c3_1(a434)
| c0_1(a434)
| ~ iPr_def_26
| ~ c2_1(a434) ),
inference(instantiation,[status(thm)],[c_15067]) ).
tcf(c_16341,plain,
( c3_1(a460)
| c2_1(a460)
| ~ iPr_def_24
| ~ c0_1(a460) ),
inference(instantiation,[status(thm)],[c_15064]) ).
tcf(c_16398,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16341,c_16329,c_16327,c_16326,c_16320,c_16290,c_16286,c_16243,c_16247,c_16213,c_16185,c_16076,c_16068,c_16054,c_16031,c_16021,c_16011,c_15993,c_15995,c_15971,c_15903,c_15897,c_15893,c_15880,c_15873,c_15854,c_15835,c_15832,c_15531,c_15536,c_15537,c_15518,c_15517,c_15510,c_15508,c_15472,c_15475,c_15401,c_15389,c_15388,c_15386,c_15385,c_15371,c_15369,c_15361,c_15346,c_15340,c_15309,c_15295,c_15293,c_15291,c_15273,c_15269,c_15264,c_15260,c_15250,c_15239,c_15235,c_15230,c_15226,c_15223,c_15218,c_15214,c_15207,c_15205,c_15203,c_15201,c_15197,c_15189,c_15186,c_15179,c_15177,c_15171,c_15165,c_15163,c_15157,c_15153,c_15147,c_15136,c_15135,c_15134,c_15131,c_15128,c_15127,c_15126,c_15122,c_15121,c_15119,c_15118,c_15116,c_15109,c_15103,c_15100,c_15098,c_15096,c_15094,c_15093,c_15089,c_15088,c_15087,c_15086,c_15083,c_15080,c_15077,c_15076,c_15074,c_15068,c_15065,c_15063,c_15056,c_15052,c_15048,c_15107,c_15091,c_2356,c_2346,c_2336,c_311,c_312,c_313,c_317,c_324,c_325,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_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_268,c_269,c_270,c_278,c_279,c_280,c_281,c_282,c_286,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN469-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 01:21:59 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.11/0.44 % Proving...
% 3.46/1.17 % SZS status Started for theBenchmark.p
% 3.46/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.17
% 3.46/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.46/1.17
% 3.46/1.17 % ------ iProver source info
% 3.46/1.17
% 3.46/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.46/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.46/1.17 % git: non_committed_changes: false
% 3.46/1.17
% 3.46/1.17 % ------ Parsing...% successful
% 3.46/1.17
% 3.46/1.17
% 3.46/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.46/1.17 %
% 3.46/1.17
% 3.46/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.46/1.17
% 3.46/1.17 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.46/1.17 gs_s sp: 103 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.46/1.17 % ------ Proving...
% 3.46/1.17 % ------ Problem Properties
% 3.46/1.17
% 3.46/1.17 %
% 3.46/1.17 % clauses 184
% 3.46/1.17 % conjectures 184
% 3.46/1.17 % EPR 184
% 3.46/1.17 % Horn 103
% 3.46/1.17 % unary 0
% 3.46/1.17 % binary 89
% 3.46/1.17 % lits 494
% 3.46/1.17 % lits eq 0
% 3.46/1.17 % fd_pure 0
% 3.46/1.17 % fd_pseudo 0
% 3.46/1.17 % fd_cond 0
% 3.46/1.17 % fd_pseudo_cond 0
% 3.46/1.17 % AC symbols 0
% 3.46/1.17
% 3.46/1.17 % ------ Schedule EPR non Horn non eq is on
% 3.46/1.17
% 3.46/1.17 % ------ no equalities: superposition off
% 3.46/1.17
% 3.46/1.17 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.46/1.17
% 3.46/1.17
% 3.46/1.17 % ------
% 3.46/1.17 % Current options:
% 3.46/1.17 % ------
% 3.46/1.17
% 3.46/1.17
% 3.46/1.17 %
% 3.46/1.17
% 3.46/1.17 % ------ Proving...
% 3.46/1.17 %
% 3.46/1.17
% 3.46/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.46/1.17
% 3.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.17
% 3.46/1.17
%------------------------------------------------------------------------------