%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN468-1 : 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 : n002.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 4.53s 1.24s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 117
% Syntax : Number of formulae : 470 ( 2 unt; 0 def)
% Number of atoms : 1987 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2535 (1018 ~;1517 |; 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 : 62 ( 61 usr; 58 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 24 con; 0-0 aty)
% Number of variables : 303 ( 0 sgn 303 !; 0 ?; 233 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,negated_conjecture,
( ndr1_0
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f32,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp24
| hskp27
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp0
| hskp23
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp18
| hskp13
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f40,negated_conjecture,
( hskp22
| hskp16
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f44,negated_conjecture,
( c0_1(a367)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f46,negated_conjecture,
( c2_1(a367)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f50,negated_conjecture,
( c0_1(a301)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c2_1(a301)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c3_1(a301)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c1_1(a296)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c2_1(a296)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c3_1(a296)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( c1_1(a368)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f58,negated_conjecture,
( c1_1(a341)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c1_1(a337)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c3_1(a337)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c3_1(a330)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f64,negated_conjecture,
( c0_1(a325)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c2_1(a315)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c0_1(a311)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c1_1(a311)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f70,negated_conjecture,
( c0_1(a308)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f74,negated_conjecture,
( c1_1(a305)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c2_1(a305)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c0_1(a304)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a304)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c0_1(a300)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c3_1(a300)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c0_1(a299)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c3_1(a299)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c2_1(a298)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c1_1(a297)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c2_1(a297)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c0_1(a295)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c0_1(a294)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c2_1(a294)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c3_1(a293)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f91,negated_conjecture,
( c1_1(a291)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp27
| ~ c0_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp27
| ~ c2_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp26
| ~ c0_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp26
| ~ c1_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp26
| ~ c3_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f99,negated_conjecture,
( ~ hskp24
| ~ c0_1(a341) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp24
| ~ c3_1(a341) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp23
| ~ c2_1(a337) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp22
| ~ c1_1(a331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp22
| ~ c2_1(a331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp22
| ~ c3_1(a331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp21
| ~ c0_1(a330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp21
| ~ c2_1(a330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp20
| ~ c0_1(a329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp20
| ~ c1_1(a329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp20
| ~ c2_1(a329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f111,negated_conjecture,
( ~ hskp18
| ~ c1_1(a325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp18
| ~ c3_1(a325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f116,negated_conjecture,
( ~ hskp16
| ~ c0_1(a315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp16
| ~ c3_1(a315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp15
| ~ c3_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f120,negated_conjecture,
( ~ hskp13
| ~ c1_1(a308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp13
| ~ c2_1(a308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f125,negated_conjecture,
( ~ hskp10
| ~ c3_1(a305) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp9
| ~ c2_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp8
| ~ c1_1(a300) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp7
| ~ c2_1(a299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp6
| ~ c0_1(a298) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp6
| ~ c1_1(a298) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp5
| ~ c0_1(a297) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp4
| ~ c2_1(a295) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ hskp4
| ~ c3_1(a295) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ hskp3
| ~ c1_1(a294) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
( ~ hskp2
| ~ c1_1(a293) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ hskp2
| ~ c2_1(a293) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f138,negated_conjecture,
( ~ hskp0
| ~ c2_1(a291) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
( ~ hskp0
| ~ c3_1(a291) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp3
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp28
| hskp4
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp6
| hskp4
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp10
| hskp9
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp8
| hskp15
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp28
| hskp15
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( hskp23
| hskp8
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0] :
( hskp20
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp16
| hskp13
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp2
| hskp3
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0] :
( hskp16
| hskp24
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp21
| hskp16
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f161,negated_conjecture,
! [X0] :
( hskp29
| hskp15
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f165,negated_conjecture,
! [X0] :
( hskp26
| hskp3
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0] :
( hskp28
| hskp8
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp7
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp4
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp29
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp21
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp5
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp16
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp7
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp9
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp4
| 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',clause187) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( hskp21
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( hskp13
| 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',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
tcf(c_253,negated_conjecture,
( ndr1_0
| ~ hskp23 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_273,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_276,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_277,negated_conjecture,
( hskp24
| hskp27
| hskp31 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_279,negated_conjecture,
( hskp0
| hskp3
| hskp23 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_280,negated_conjecture,
( hskp8
| hskp13
| hskp18 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_284,negated_conjecture,
( hskp5
| hskp16
| hskp22 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_288,negated_conjecture,
( c0_1(a367)
| ~ hskp31 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_290,negated_conjecture,
( c2_1(a367)
| ~ hskp31 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_294,negated_conjecture,
( c0_1(a301)
| ~ hskp29 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_295,negated_conjecture,
( c2_1(a301)
| ~ hskp29 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_296,negated_conjecture,
( c3_1(a301)
| ~ hskp29 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_297,negated_conjecture,
( c1_1(a296)
| ~ hskp28 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_298,negated_conjecture,
( c2_1(a296)
| ~ hskp28 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_299,negated_conjecture,
( c3_1(a296)
| ~ hskp28 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_300,negated_conjecture,
( c1_1(a368)
| ~ hskp27 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_302,negated_conjecture,
( c1_1(a341)
| ~ hskp24 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_303,negated_conjecture,
( c1_1(a337)
| ~ hskp23 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_304,negated_conjecture,
( c3_1(a337)
| ~ hskp23 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_305,negated_conjecture,
( c3_1(a330)
| ~ hskp21 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_308,negated_conjecture,
( c0_1(a325)
| ~ hskp18 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_309,negated_conjecture,
( c2_1(a315)
| ~ hskp16 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_310,negated_conjecture,
( c0_1(a311)
| ~ hskp15 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_311,negated_conjecture,
( c1_1(a311)
| ~ hskp15 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_314,negated_conjecture,
( c0_1(a308)
| ~ hskp13 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_318,negated_conjecture,
( c1_1(a305)
| ~ hskp10 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_319,negated_conjecture,
( c2_1(a305)
| ~ hskp10 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_320,negated_conjecture,
( c0_1(a304)
| ~ hskp9 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_321,negated_conjecture,
( c1_1(a304)
| ~ hskp9 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_322,negated_conjecture,
( c0_1(a300)
| ~ hskp8 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_323,negated_conjecture,
( c3_1(a300)
| ~ hskp8 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_324,negated_conjecture,
( c0_1(a299)
| ~ hskp7 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_325,negated_conjecture,
( c3_1(a299)
| ~ hskp7 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_326,negated_conjecture,
( c2_1(a298)
| ~ hskp6 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_327,negated_conjecture,
( c1_1(a297)
| ~ hskp5 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_328,negated_conjecture,
( c2_1(a297)
| ~ hskp5 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_329,negated_conjecture,
( c0_1(a295)
| ~ hskp4 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_330,negated_conjecture,
( c0_1(a294)
| ~ hskp3 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_331,negated_conjecture,
( c2_1(a294)
| ~ hskp3 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_332,negated_conjecture,
( c3_1(a293)
| ~ hskp2 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_335,negated_conjecture,
( c1_1(a291)
| ~ hskp0 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_336,negated_conjecture,
( ~ hskp27
| ~ c0_1(a368) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_337,negated_conjecture,
( ~ hskp27
| ~ c2_1(a368) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_338,negated_conjecture,
( ~ hskp26
| ~ c0_1(a359) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_339,negated_conjecture,
( ~ hskp26
| ~ c1_1(a359) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_340,negated_conjecture,
( ~ hskp26
| ~ c3_1(a359) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_343,negated_conjecture,
( ~ hskp24
| ~ c0_1(a341) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_344,negated_conjecture,
( ~ hskp24
| ~ c3_1(a341) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_345,negated_conjecture,
( ~ hskp23
| ~ c2_1(a337) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_346,negated_conjecture,
( ~ hskp22
| ~ c1_1(a331) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_347,negated_conjecture,
( ~ hskp22
| ~ c2_1(a331) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_348,negated_conjecture,
( ~ hskp22
| ~ c3_1(a331) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_349,negated_conjecture,
( ~ hskp21
| ~ c0_1(a330) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_350,negated_conjecture,
( ~ hskp21
| ~ c2_1(a330) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_351,negated_conjecture,
( ~ hskp20
| ~ c0_1(a329) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_352,negated_conjecture,
( ~ hskp20
| ~ c1_1(a329) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_353,negated_conjecture,
( ~ hskp20
| ~ c2_1(a329) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_355,negated_conjecture,
( ~ hskp18
| ~ c1_1(a325) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_356,negated_conjecture,
( ~ hskp18
| ~ c3_1(a325) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_360,negated_conjecture,
( ~ hskp16
| ~ c0_1(a315) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_361,negated_conjecture,
( ~ hskp16
| ~ c3_1(a315) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_362,negated_conjecture,
( ~ hskp15
| ~ c3_1(a311) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_364,negated_conjecture,
( ~ hskp13
| ~ c1_1(a308) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_365,negated_conjecture,
( ~ hskp13
| ~ c2_1(a308) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_369,negated_conjecture,
( ~ hskp10
| ~ c3_1(a305) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_370,negated_conjecture,
( ~ hskp9
| ~ c2_1(a304) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_371,negated_conjecture,
( ~ hskp8
| ~ c1_1(a300) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_372,negated_conjecture,
( ~ hskp7
| ~ c2_1(a299) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_373,negated_conjecture,
( ~ hskp6
| ~ c0_1(a298) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_374,negated_conjecture,
( ~ hskp6
| ~ c1_1(a298) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_375,negated_conjecture,
( ~ hskp5
| ~ c0_1(a297) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_376,negated_conjecture,
( ~ hskp4
| ~ c2_1(a295) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_377,negated_conjecture,
( ~ hskp4
| ~ c3_1(a295) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_378,negated_conjecture,
( ~ hskp3
| ~ c1_1(a294) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_379,negated_conjecture,
( ~ hskp2
| ~ c1_1(a293) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_380,negated_conjecture,
( ~ hskp2
| ~ c2_1(a293) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_382,negated_conjecture,
( ~ hskp0
| ~ c2_1(a291) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_383,negated_conjecture,
( ~ hskp0
| ~ c3_1(a291) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( hskp3
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp28
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp6
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp10
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp15
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_395,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp28
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( hskp20
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp16
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp3
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp24
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp21
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp29
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp26
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp28
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_415,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_417,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_429,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_434,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_473,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_276,c_279,c_276,c_273,c_253]) ).
tcf(c_537,negated_conjecture,
! [X0: $i] :
( hskp3
| c3_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_279,c_276,c_273,c_253,c_384]) ).
tcf(c_543,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp28
| c3_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_279,c_276,c_273,c_253,c_386]) ).
tcf(c_549,plain,
! [X0: $i] :
( hskp20
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_279,c_276,c_273,c_253,c_397]) ).
tcf(c_550,negated_conjecture,
! [X0: $i] :
( hskp20
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_549]) ).
tcf(c_552,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_279,c_276,c_273,c_253,c_396]) ).
tcf(c_555,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp28
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_279,c_276,c_273,c_253,c_395]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp15
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_279,c_276,c_273,c_253,c_392]) ).
tcf(c_570,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp10
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_279,c_276,c_273,c_253,c_390]) ).
tcf(c_573,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp6
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_279,c_276,c_273,c_253,c_389]) ).
tcf(c_588,plain,
! [X0: $i] :
( hskp15
| hskp29
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_279,c_276,c_273,c_253,c_405]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp29
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_588]) ).
tcf(c_594,plain,
! [X0: $i] :
( hskp16
| hskp21
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_279,c_276,c_273,c_253,c_403]) ).
tcf(c_595,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp21
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_594]) ).
tcf(c_597,plain,
! [X0: $i] :
( hskp16
| hskp24
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_279,c_276,c_273,c_253,c_402]) ).
tcf(c_598,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp24
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_603,plain,
! [X0: $i] :
( hskp2
| hskp3
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_279,c_276,c_273,c_253,c_400]) ).
tcf(c_604,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp3
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_603]) ).
tcf(c_609,plain,
! [X0: $i] :
( hskp13
| hskp16
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_279,c_276,c_273,c_253,c_398]) ).
tcf(c_610,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp16
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_609]) ).
tcf(c_618,plain,
! [X0: $i] :
( hskp8
| hskp28
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_279,c_276,c_273,c_253,c_410]) ).
tcf(c_619,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp28
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_618]) ).
tcf(c_621,plain,
! [X0: $i] :
( hskp3
| hskp26
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_279,c_276,c_273,c_253,c_409]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp26
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_624,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_279,c_276,c_273,c_253,c_384,c_414]) ).
tcf(c_627,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_279,c_276,c_273,c_253,c_413]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_279,c_276,c_273,c_253,c_418]) ).
tcf(c_632,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_631]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_417,c_279,c_276,c_273,c_253,c_417]) ).
tcf(c_634,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_633]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_279,c_276,c_273,c_253,c_416]) ).
tcf(c_636,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_635]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_279,c_276,c_273,c_253,c_415]) ).
tcf(c_638,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_637]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_279,c_276,c_273,c_253,c_422]) ).
tcf(c_642,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_641]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_279,c_276,c_273,c_253,c_421]) ).
tcf(c_644,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_643]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( hskp29
| 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_420,c_279,c_276,c_273,c_253,c_420]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_279,c_276,c_273,c_253,c_429]) ).
tcf(c_650,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_649]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_279,c_276,c_273,c_253,c_428]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i] :
( hskp16
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_279,c_276,c_273,c_253,c_427]) ).
tcf(c_654,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_653]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_279,c_276,c_273,c_253,c_425]) ).
tcf(c_659,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_658]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] :
( hskp5
| 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_424,c_279,c_276,c_273,c_253,c_424]) ).
tcf(c_662,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_661]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_279,c_276,c_273,c_253,c_433]) ).
tcf(c_664,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_663]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( hskp21
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_279,c_276,c_273,c_253,c_432]) ).
tcf(c_666,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_279,c_276,c_273,c_253,c_431]) ).
tcf(c_668,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_667]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_279,c_276,c_273,c_253,c_434]) ).
tcf(c_670,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_669]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_279,c_276,c_273,c_253,c_437]) ).
tcf(c_672,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_671]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_279,c_276,c_273,c_253,c_436]) ).
tcf(c_674,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_673]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_279,c_276,c_273,c_253,c_435]) ).
tcf(c_676,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_675]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_279,c_276,c_273,c_253,c_439]) ).
tcf(c_678,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_279,c_276,c_273,c_253,c_438]) ).
tcf(c_680,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_440,c_473]) ).
tcf(c_682,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_681]) ).
tcf(c_1835,plain,
( hskp24
| hskp27
| c2_1(a367) ),
inference(resolution,[status(thm)],[c_277,c_290]) ).
tcf(c_1855,plain,
( hskp24
| hskp27
| c0_1(a367) ),
inference(resolution,[status(thm)],[c_277,c_288]) ).
tcf(c_2198,plain,
( hskp24
| c0_1(a367)
| ~ c2_1(a368) ),
inference(resolution,[status(thm)],[c_1855,c_337]) ).
tcf(c_2208,plain,
( hskp24
| c0_1(a367)
| ~ c0_1(a368) ),
inference(resolution,[status(thm)],[c_1855,c_336]) ).
tcf(c_2218,plain,
( hskp24
| c1_1(a368)
| c0_1(a367) ),
inference(resolution,[status(thm)],[c_1855,c_300]) ).
tcf(c_2258,plain,
( hskp24
| c2_1(a367)
| ~ c2_1(a368) ),
inference(resolution,[status(thm)],[c_1835,c_337]) ).
tcf(c_2268,plain,
( hskp24
| c2_1(a367)
| ~ c0_1(a368) ),
inference(resolution,[status(thm)],[c_1835,c_336]) ).
tcf(c_2278,plain,
( hskp24
| c2_1(a367)
| c1_1(a368) ),
inference(resolution,[status(thm)],[c_1835,c_300]) ).
tcf(c_2366,plain,
! [X0: $i] :
( hskp4
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(a298)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_573,c_374]) ).
tcf(c_2367,plain,
( hskp4
| c2_1(a291)
| c0_1(a291)
| ~ c1_1(a291)
| ~ c1_1(a298) ),
inference(instantiation,[status(thm)],[c_2366]) ).
tcf(c_2383,plain,
! [X0: $i] :
( hskp4
| c2_1(X0)
| c0_1(X0)
| ~ c0_1(a298)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_573,c_373]) ).
tcf(c_2384,plain,
( hskp4
| c2_1(a291)
| c0_1(a291)
| ~ c1_1(a291)
| ~ c0_1(a298) ),
inference(instantiation,[status(thm)],[c_2383]) ).
tcf(c_2400,plain,
! [X0: $i] :
( hskp4
| c2_1(a298)
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_573,c_326]) ).
tcf(c_2401,plain,
( hskp4
| c2_1(a291)
| c2_1(a298)
| c0_1(a291)
| ~ c1_1(a291) ),
inference(instantiation,[status(thm)],[c_2400]) ).
tcf(c_3011,plain,
( hskp8
| hskp13
| ~ c3_1(a325) ),
inference(resolution,[status(thm)],[c_280,c_356]) ).
tcf(c_3021,plain,
( hskp8
| hskp13
| ~ c1_1(a325) ),
inference(resolution,[status(thm)],[c_280,c_355]) ).
tcf(c_3031,plain,
( hskp8
| hskp13
| c0_1(a325) ),
inference(resolution,[status(thm)],[c_280,c_308]) ).
tcf(c_3764,plain,
( hskp16
| hskp22
| ~ c0_1(a297) ),
inference(resolution,[status(thm)],[c_284,c_375]) ).
tcf(c_3774,plain,
( hskp16
| hskp22
| c2_1(a297) ),
inference(resolution,[status(thm)],[c_284,c_328]) ).
tcf(c_3784,plain,
( hskp16
| hskp22
| c1_1(a297) ),
inference(resolution,[status(thm)],[c_284,c_327]) ).
tcf(c_16469,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_682]) ).
tcf(c_16470,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_682]) ).
tcf(c_16471,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_682]) ).
tcf(c_16472,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).
tcf(c_16473,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_680]) ).
tcf(c_16474,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_680]) ).
tcf(c_16475,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_680]) ).
tcf(c_16477,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_678]) ).
tcf(c_16478,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_678]) ).
tcf(c_16479,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).
tcf(c_16480,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_676]) ).
tcf(c_16481,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_676]) ).
tcf(c_16482,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).
tcf(c_16483,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_674]) ).
tcf(c_16484,negated_conjecture,
( iPr_def_20
| iPr_def_16
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).
tcf(c_16485,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_672]) ).
tcf(c_16486,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_672]) ).
tcf(c_16487,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).
tcf(c_16488,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_670]) ).
tcf(c_16489,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_670]) ).
tcf(c_16490,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_670]) ).
tcf(c_16491,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_668]) ).
tcf(c_16492,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_668]) ).
tcf(c_16493,negated_conjecture,
( iPr_def_26
| iPr_def_25
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).
tcf(c_16494,negated_conjecture,
( iPr_def_26
| iPr_def_22
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).
tcf(c_16495,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_664]) ).
tcf(c_16497,negated_conjecture,
( iPr_def_26
| iPr_def_20
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).
tcf(c_16498,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_659]) ).
tcf(c_16499,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_659]) ).
tcf(c_16500,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).
tcf(c_16502,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_654]) ).
tcf(c_16503,negated_conjecture,
( iPr_def_30
| iPr_def_17
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).
tcf(c_16504,negated_conjecture,
( iPr_def_30
| iPr_def_27
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_16505,negated_conjecture,
( iPr_def_30
| iPr_def_11
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).
tcf(c_16507,negated_conjecture,
( iPr_def_28
| iPr_def_15
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_16508,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_644]) ).
tcf(c_16510,negated_conjecture,
( iPr_def_31
| iPr_def_10
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).
tcf(c_16512,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_638]) ).
tcf(c_16513,negated_conjecture,
( iPr_def_32
| iPr_def_16
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_638]) ).
tcf(c_16514,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_636]) ).
tcf(c_16515,negated_conjecture,
( iPr_def_33
| iPr_def_23
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_636]) ).
tcf(c_16516,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_634]) ).
tcf(c_16517,negated_conjecture,
( iPr_def_34
| iPr_def_20
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_634]) ).
tcf(c_16518,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_632]) ).
tcf(c_16522,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_627]) ).
tcf(c_16523,negated_conjecture,
( iPr_def_37
| iPr_def_34
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).
tcf(c_16524,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_624]) ).
tcf(c_16525,negated_conjecture,
( iPr_def_38
| iPr_def_35
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).
tcf(c_16526,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_622]) ).
tcf(c_16527,negated_conjecture,
( iPr_def_39
| hskp3
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_16528,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_619]) ).
tcf(c_16529,negated_conjecture,
( iPr_def_40
| hskp8
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).
tcf(c_16532,negated_conjecture,
( iPr_def_28
| hskp13
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).
tcf(c_16534,negated_conjecture,
( iPr_def_29
| hskp2
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).
tcf(c_16536,negated_conjecture,
( iPr_def_30
| hskp16
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_16537,negated_conjecture,
( iPr_def_30
| hskp16
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).
tcf(c_16539,negated_conjecture,
( iPr_def_17
| hskp15
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).
tcf(c_16545,negated_conjecture,
( iPr_def_18
| hskp9
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_16547,negated_conjecture,
( iPr_def_20
| hskp8
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_16551,negated_conjecture,
( iPr_def_34
| hskp15
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).
tcf(c_16552,negated_conjecture,
( iPr_def_19
| hskp8
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).
tcf(c_16554,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_43
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_543]) ).
tcf(c_16555,negated_conjecture,
( iPr_def_43
| hskp4
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_543]) ).
tcf(c_16559,plain,
( c3_1(a291)
| c2_1(a291)
| c0_1(a291)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_16488]) ).
tcf(c_16565,plain,
( c3_1(a291)
| c0_1(a291)
| ~ iPr_def_16
| ~ c1_1(a291) ),
inference(instantiation,[status(thm)],[c_16477]) ).
tcf(c_16569,plain,
( c3_1(a291)
| c2_1(a291)
| ~ iPr_def_21
| ~ c0_1(a291) ),
inference(instantiation,[status(thm)],[c_16485]) ).
tcf(c_16570,plain,
( c3_1(a291)
| c2_1(a291)
| ~ iPr_def_24
| ~ c1_1(a291) ),
inference(instantiation,[status(thm)],[c_16489]) ).
tcf(c_16581,plain,
( c3_1(a291)
| ~ iPr_def_27
| ~ c1_1(a291)
| ~ c0_1(a291) ),
inference(instantiation,[status(thm)],[c_16495]) ).
tcf(c_16594,plain,
( hskp20
| c3_1(a294)
| ~ c2_1(a294)
| ~ c0_1(a294) ),
inference(instantiation,[status(thm)],[c_550]) ).
tcf(c_16602,plain,
( c2_1(a300)
| c1_1(a300)
| ~ iPr_def_10
| ~ c3_1(a300) ),
inference(instantiation,[status(thm)],[c_16469]) ).
tcf(c_16604,plain,
( c2_1(a293)
| c1_1(a293)
| ~ iPr_def_10
| ~ c3_1(a293) ),
inference(instantiation,[status(thm)],[c_16469]) ).
tcf(c_16607,plain,
( c0_1(a297)
| ~ iPr_def_13
| ~ c3_1(a297)
| ~ c2_1(a297) ),
inference(instantiation,[status(thm)],[c_16473]) ).
tcf(c_16609,plain,
( c1_1(a301)
| ~ iPr_def_14
| ~ c3_1(a301)
| ~ c2_1(a301) ),
inference(instantiation,[status(thm)],[c_16474]) ).
tcf(c_16612,plain,
( c1_1(a294)
| ~ iPr_def_14
| ~ c3_1(a294)
| ~ c2_1(a294) ),
inference(instantiation,[status(thm)],[c_16474]) ).
tcf(c_16614,plain,
( c3_1(a315)
| c0_1(a315)
| ~ iPr_def_20
| ~ c2_1(a315) ),
inference(instantiation,[status(thm)],[c_16483]) ).
tcf(c_16615,plain,
( c3_1(a297)
| c0_1(a297)
| ~ iPr_def_20
| ~ c2_1(a297) ),
inference(instantiation,[status(thm)],[c_16483]) ).
tcf(c_16632,plain,
( c0_1(a298)
| ~ iPr_def_13
| ~ c3_1(a298)
| ~ c2_1(a298) ),
inference(instantiation,[status(thm)],[c_16473]) ).
tcf(c_16635,plain,
( hskp3
| c3_1(a359)
| c1_1(a359)
| c0_1(a359) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_16644,plain,
( hskp3
| c3_1(a315)
| c1_1(a315)
| c0_1(a315) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_16648,plain,
( c1_1(a308)
| ~ iPr_def_17
| ~ c3_1(a308)
| ~ c0_1(a308) ),
inference(instantiation,[status(thm)],[c_16478]) ).
tcf(c_16650,plain,
( c1_1(a300)
| ~ iPr_def_17
| ~ c3_1(a300)
| ~ c0_1(a300) ),
inference(instantiation,[status(thm)],[c_16478]) ).
tcf(c_16651,plain,
( c1_1(a299)
| ~ iPr_def_17
| ~ c3_1(a299)
| ~ c0_1(a299) ),
inference(instantiation,[status(thm)],[c_16478]) ).
tcf(c_16653,plain,
( c1_1(a294)
| ~ iPr_def_17
| ~ c3_1(a294)
| ~ c0_1(a294) ),
inference(instantiation,[status(thm)],[c_16478]) ).
tcf(c_16655,plain,
( c3_1(a331)
| c2_1(a331)
| c1_1(a331)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_16518]) ).
tcf(c_16656,plain,
( c3_1(a325)
| c2_1(a325)
| c1_1(a325)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_16518]) ).
tcf(c_16657,plain,
( c3_1(a308)
| c2_1(a308)
| c1_1(a308)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_16518]) ).
tcf(c_16668,plain,
( c3_1(a311)
| ~ iPr_def_27
| ~ c1_1(a311)
| ~ c0_1(a311) ),
inference(instantiation,[status(thm)],[c_16495]) ).
tcf(c_16676,plain,
( c2_1(a330)
| c0_1(a330)
| ~ iPr_def_18
| ~ c3_1(a330) ),
inference(instantiation,[status(thm)],[c_16480]) ).
tcf(c_16690,plain,
( c0_1(a296)
| ~ iPr_def_13
| ~ c3_1(a296)
| ~ c2_1(a296) ),
inference(instantiation,[status(thm)],[c_16473]) ).
tcf(c_16703,plain,
( c3_1(a341)
| c2_1(a341)
| c0_1(a341)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_16488]) ).
tcf(c_16719,plain,
( ~ iPr_def_39
| ~ c2_1(a301)
| ~ c1_1(a301)
| ~ c0_1(a301) ),
inference(instantiation,[status(thm)],[c_16526]) ).
tcf(c_16727,plain,
( c0_1(a297)
| ~ iPr_def_29
| ~ c3_1(a297)
| ~ c1_1(a297) ),
inference(instantiation,[status(thm)],[c_16499]) ).
tcf(c_16734,plain,
( c2_1(a341)
| c0_1(a341)
| ~ iPr_def_15
| ~ c1_1(a341) ),
inference(instantiation,[status(thm)],[c_16475]) ).
tcf(c_16744,plain,
( c3_1(a331)
| c1_1(a331)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_16524]) ).
tcf(c_16745,plain,
( c3_1(a325)
| c1_1(a325)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_16524]) ).
tcf(c_16746,plain,
( c3_1(a308)
| c1_1(a308)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_16524]) ).
tcf(c_16773,plain,
( c3_1(a297)
| ~ iPr_def_11
| ~ c2_1(a297)
| ~ c1_1(a297) ),
inference(instantiation,[status(thm)],[c_16470]) ).
tcf(c_16808,plain,
( c2_1(a304)
| ~ iPr_def_25
| ~ c1_1(a304)
| ~ c0_1(a304) ),
inference(instantiation,[status(thm)],[c_16491]) ).
tcf(c_16819,plain,
( c1_1(a301)
| ~ iPr_def_30
| ~ c2_1(a301)
| ~ c0_1(a301) ),
inference(instantiation,[status(thm)],[c_16502]) ).
tcf(c_16851,plain,
( c3_1(a315)
| c1_1(a315)
| ~ iPr_def_19
| ~ c2_1(a315) ),
inference(instantiation,[status(thm)],[c_16481]) ).
tcf(c_16853,plain,
( c3_1(a315)
| ~ iPr_def_11
| ~ c2_1(a315)
| ~ c1_1(a315) ),
inference(instantiation,[status(thm)],[c_16470]) ).
tcf(c_16868,plain,
( c3_1(a341)
| c0_1(a341)
| ~ iPr_def_16
| ~ c1_1(a341) ),
inference(instantiation,[status(thm)],[c_16477]) ).
tcf(c_16873,plain,
( ~ iPr_def_26
| ~ c3_1(a301)
| ~ c2_1(a301)
| ~ c0_1(a301) ),
inference(instantiation,[status(thm)],[c_16492]) ).
tcf(c_16880,plain,
( c3_1(a311)
| c2_1(a311)
| ~ iPr_def_21
| ~ c0_1(a311) ),
inference(instantiation,[status(thm)],[c_16485]) ).
tcf(c_16881,plain,
( c3_1(a295)
| c2_1(a295)
| ~ iPr_def_21
| ~ c0_1(a295) ),
inference(instantiation,[status(thm)],[c_16485]) ).
tcf(c_16888,plain,
( c3_1(a315)
| c0_1(a315)
| ~ iPr_def_16
| ~ c1_1(a315) ),
inference(instantiation,[status(thm)],[c_16477]) ).
tcf(c_16903,plain,
( c3_1(a341)
| ~ iPr_def_11
| ~ c2_1(a341)
| ~ c1_1(a341) ),
inference(instantiation,[status(thm)],[c_16470]) ).
tcf(c_16904,plain,
( c3_1(a341)
| c0_1(a341)
| ~ iPr_def_20
| ~ c2_1(a341) ),
inference(instantiation,[status(thm)],[c_16483]) ).
tcf(c_16931,plain,
( ~ iPr_def_39
| ~ c2_1(a311)
| ~ c1_1(a311)
| ~ c0_1(a311) ),
inference(instantiation,[status(thm)],[c_16526]) ).
tcf(c_16932,plain,
( c3_1(a311)
| ~ iPr_def_11
| ~ c2_1(a311)
| ~ c1_1(a311) ),
inference(instantiation,[status(thm)],[c_16470]) ).
tcf(c_16978,plain,
( c3_1(a305)
| ~ iPr_def_11
| ~ c2_1(a305)
| ~ c1_1(a305) ),
inference(instantiation,[status(thm)],[c_16470]) ).
tcf(c_17025,plain,
( c2_1(a308)
| c1_1(a308)
| ~ iPr_def_10
| ~ c3_1(a308) ),
inference(instantiation,[status(thm)],[c_16469]) ).
tcf(c_17073,plain,
( ~ iPr_def_40
| ~ c3_1(a299)
| ~ c1_1(a299)
| ~ c0_1(a299) ),
inference(instantiation,[status(thm)],[c_16528]) ).
tcf(c_17090,plain,
( c2_1(a308)
| ~ iPr_def_22
| ~ c3_1(a308)
| ~ c0_1(a308) ),
inference(instantiation,[status(thm)],[c_16486]) ).
tcf(c_17092,plain,
( c2_1(a300)
| ~ iPr_def_22
| ~ c3_1(a300)
| ~ c0_1(a300) ),
inference(instantiation,[status(thm)],[c_16486]) ).
tcf(c_17093,plain,
( c2_1(a299)
| ~ iPr_def_22
| ~ c3_1(a299)
| ~ c0_1(a299) ),
inference(instantiation,[status(thm)],[c_16486]) ).
tcf(c_17099,plain,
( c3_1(a329)
| c1_1(a329)
| c0_1(a329)
| ~ iPr_def_43 ),
inference(instantiation,[status(thm)],[c_16554]) ).
tcf(c_17100,plain,
( c2_1(a329)
| c1_1(a329)
| c0_1(a329)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_16522]) ).
tcf(c_17102,plain,
( c2_1(a329)
| c1_1(a329)
| ~ iPr_def_10
| ~ c3_1(a329) ),
inference(instantiation,[status(thm)],[c_16469]) ).
tcf(c_17107,plain,
( c1_1(a300)
| ~ iPr_def_30
| ~ c2_1(a300)
| ~ c0_1(a300) ),
inference(instantiation,[status(thm)],[c_16502]) ).
tcf(c_17113,plain,
( c1_1(a300)
| ~ iPr_def_14
| ~ c3_1(a300)
| ~ c2_1(a300) ),
inference(instantiation,[status(thm)],[c_16474]) ).
tcf(c_17229,plain,
( c2_1(a368)
| c0_1(a368)
| ~ iPr_def_15
| ~ c1_1(a368) ),
inference(instantiation,[status(thm)],[c_16475]) ).
tcf(c_17238,plain,
( c3_1(a297)
| c0_1(a297)
| ~ iPr_def_16
| ~ c1_1(a297) ),
inference(instantiation,[status(thm)],[c_16477]) ).
tcf(c_17250,plain,
( ~ iPr_def_12
| ~ c3_1(a301)
| ~ c2_1(a301)
| ~ c1_1(a301) ),
inference(instantiation,[status(thm)],[c_16471]) ).
tcf(c_17262,plain,
( c3_1(a329)
| c2_1(a329)
| c0_1(a329)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_16488]) ).
tcf(c_17277,plain,
( c1_1(a325)
| ~ iPr_def_30
| ~ c2_1(a325)
| ~ c0_1(a325) ),
inference(instantiation,[status(thm)],[c_16502]) ).
tcf(c_17299,plain,
( ~ iPr_def_12
| ~ c3_1(a297)
| ~ c2_1(a297)
| ~ c1_1(a297) ),
inference(instantiation,[status(thm)],[c_16471]) ).
tcf(c_17300,plain,
( c0_1(a297)
| ~ iPr_def_28
| ~ c2_1(a297)
| ~ c1_1(a297) ),
inference(instantiation,[status(thm)],[c_16498]) ).
tcf(c_17343,plain,
( c3_1(a298)
| c1_1(a298)
| c0_1(a298)
| ~ iPr_def_43 ),
inference(instantiation,[status(thm)],[c_16554]) ).
tcf(c_17568,plain,
( c3_1(a325)
| c1_1(a325)
| ~ iPr_def_34
| ~ c0_1(a325) ),
inference(instantiation,[status(thm)],[c_16516]) ).
tcf(c_17767,plain,
( c1_1(a367)
| ~ iPr_def_30
| ~ c2_1(a367)
| ~ c0_1(a367) ),
inference(instantiation,[status(thm)],[c_16502]) ).
tcf(c_17770,plain,
( ~ iPr_def_39
| ~ c2_1(a367)
| ~ c1_1(a367)
| ~ c0_1(a367) ),
inference(instantiation,[status(thm)],[c_16526]) ).
tcf(c_17917,plain,
( c2_1(a330)
| ~ iPr_def_33
| ~ c3_1(a330)
| ~ c1_1(a330) ),
inference(instantiation,[status(thm)],[c_16514]) ).
tcf(c_17920,plain,
( c2_1(a299)
| ~ iPr_def_33
| ~ c3_1(a299)
| ~ c1_1(a299) ),
inference(instantiation,[status(thm)],[c_16514]) ).
tcf(c_17934,plain,
( ~ iPr_def_26
| ~ c3_1(a294)
| ~ c2_1(a294)
| ~ c0_1(a294) ),
inference(instantiation,[status(thm)],[c_16492]) ).
tcf(c_17935,plain,
( c1_1(a294)
| ~ iPr_def_30
| ~ c2_1(a294)
| ~ c0_1(a294) ),
inference(instantiation,[status(thm)],[c_16502]) ).
tcf(c_17936,plain,
( c3_1(a294)
| ~ iPr_def_31
| ~ c2_1(a294)
| ~ c0_1(a294) ),
inference(instantiation,[status(thm)],[c_16508]) ).
tcf(c_17937,plain,
( c3_1(a294)
| c1_1(a294)
| ~ iPr_def_19
| ~ c2_1(a294) ),
inference(instantiation,[status(thm)],[c_16481]) ).
tcf(c_17945,plain,
( c3_1(a294)
| c1_1(a294)
| ~ iPr_def_34
| ~ c0_1(a294) ),
inference(instantiation,[status(thm)],[c_16516]) ).
tcf(c_17952,plain,
( c2_1(a337)
| ~ iPr_def_33
| ~ c3_1(a337)
| ~ c1_1(a337) ),
inference(instantiation,[status(thm)],[c_16514]) ).
tcf(c_17993,plain,
( c1_1(a329)
| c0_1(a329)
| ~ iPr_def_32
| ~ c3_1(a329) ),
inference(instantiation,[status(thm)],[c_16512]) ).
tcf(c_18004,plain,
( c1_1(a330)
| c0_1(a330)
| ~ iPr_def_32
| ~ c3_1(a330) ),
inference(instantiation,[status(thm)],[c_16512]) ).
tcf(c_18066,plain,
( c3_1(a308)
| c2_1(a308)
| ~ iPr_def_21
| ~ c0_1(a308) ),
inference(instantiation,[status(thm)],[c_16485]) ).
tcf(c_18103,plain,
( ~ iPr_def_12
| ~ c3_1(a296)
| ~ c2_1(a296)
| ~ c1_1(a296) ),
inference(instantiation,[status(thm)],[c_16471]) ).
tcf(c_18106,plain,
( ~ iPr_def_26
| ~ c3_1(a296)
| ~ c2_1(a296)
| ~ c0_1(a296) ),
inference(instantiation,[status(thm)],[c_16492]) ).
tcf(c_18203,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18103,c_18106,c_18066,c_18004,c_17993,c_17952,c_17945,c_17934,c_17935,c_17936,c_17937,c_17920,c_17917,c_17767,c_17770,c_17568,c_17343,c_17299,c_17300,c_17277,c_17262,c_17250,c_17238,c_17229,c_17107,c_17113,c_17099,c_17100,c_17102,c_17093,c_17092,c_17090,c_17073,c_17025,c_16978,c_16931,c_16932,c_16903,c_16904,c_16888,c_16881,c_16880,c_16873,c_16868,c_16851,c_16853,c_16819,c_16808,c_16773,c_16746,c_16745,c_16744,c_16734,c_16727,c_16719,c_16703,c_16690,c_16676,c_16668,c_16657,c_16656,c_16655,c_16653,c_16651,c_16650,c_16648,c_16644,c_16635,c_16632,c_16615,c_16614,c_16612,c_16609,c_16607,c_16604,c_16602,c_16594,c_16581,c_16570,c_16569,c_16565,c_16559,c_16555,c_16552,c_16551,c_16547,c_16545,c_16539,c_16537,c_16536,c_16534,c_16532,c_16529,c_16527,c_16525,c_16523,c_16517,c_16515,c_16513,c_16510,c_16507,c_16505,c_16504,c_16503,c_16500,c_16497,c_16494,c_16493,c_16490,c_16487,c_16484,c_16482,c_16479,c_16472,c_3784,c_3774,c_3764,c_3031,c_3021,c_3011,c_2401,c_2384,c_2367,c_2278,c_2268,c_2258,c_2218,c_2208,c_2198,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_352,c_353,c_360,c_361,c_362,c_364,c_365,c_369,c_370,c_371,c_372,c_375,c_376,c_377,c_378,c_379,c_380,c_382,c_383,c_294,c_295,c_296,c_297,c_298,c_299,c_302,c_303,c_304,c_305,c_309,c_310,c_311,c_314,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_327,c_328,c_329,c_330,c_331,c_332,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN468-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:24:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.53/1.24 % SZS status Started for theBenchmark.p
% 4.53/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 4.53/1.24
% 4.53/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.53/1.24
% 4.53/1.24 % ------ iProver source info
% 4.53/1.24
% 4.53/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 4.53/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.53/1.24 % git: non_committed_changes: false
% 4.53/1.24
% 4.53/1.24 % ------ Parsing...% successful
% 4.53/1.24
% 4.53/1.24
% 4.53/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.53/1.24 %
% 4.53/1.24
% 4.53/1.24 % ------ 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 %
% 4.53/1.24
% 4.53/1.24 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.53/1.24 gs_s sp: 89 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.53/1.24 % ------ Proving...
% 4.53/1.24 % ------ Problem Properties
% 4.53/1.24
% 4.53/1.24 %
% 4.53/1.24 % clauses 197
% 4.53/1.24 % conjectures 194
% 4.53/1.24 % EPR 197
% 4.53/1.24 % Horn 111
% 4.53/1.24 % unary 0
% 4.53/1.24 % binary 93
% 4.53/1.24 % lits 533
% 4.53/1.24 % lits eq 0
% 4.53/1.24 % fd_pure 0
% 4.53/1.24 % fd_pseudo 0
% 4.53/1.24 % fd_cond 0
% 4.53/1.24 % fd_pseudo_cond 0
% 4.53/1.24 % AC symbols 0
% 4.53/1.24
% 4.53/1.24 % ------ Schedule EPR non Horn non eq is on
% 4.53/1.24
% 4.53/1.24 % ------ no equalities: superposition off
% 4.53/1.24
% 4.53/1.24 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.53/1.24
% 4.53/1.24
% 4.53/1.24 % ------
% 4.53/1.24 % Current options:
% 4.53/1.24 % ------
% 4.53/1.24
% 4.53/1.24
% 4.53/1.24 %
% 4.53/1.24
% 4.53/1.24 % ------ Proving...
% 4.53/1.24 %
% 4.53/1.24
% 4.53/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 4.53/1.24
% 4.53/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.53/1.26
% 4.53/1.26
%------------------------------------------------------------------------------