%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN488-1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:30 PM UTC 2026
% Result : Unsatisfiable 2.14s 1.02s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 135
% Syntax : Number of formulae : 519 ( 2 unt; 0 def)
% Number of atoms : 2210 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2828 (1137 ~;1691 |; 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 : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 343 ( 0 sgn 343 !; 0 ?; 262 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
( ndr1_0
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
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(f34,negated_conjecture,
( hskp19
| hskp26
| hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp11
| hskp8
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp18
| hskp5
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp25
| hskp19
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( hskp7
| hskp9
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f42,negated_conjecture,
( c0_1(a2450)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c1_1(a2450)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c3_1(a2450)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c0_1(a2409)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c2_1(a2409)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c3_1(a2409)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c1_1(a2406)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c2_1(a2406)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c3_1(a2406)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c0_1(a2484)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c1_1(a2484)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c2_1(a2478)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f55,negated_conjecture,
( c2_1(a2455)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( c3_1(a2455)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( c0_1(a2437)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c2_1(a2437)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c3_1(a2435)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c1_1(a2432)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c3_1(a2432)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c2_1(a2427)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c3_1(a2427)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c0_1(a2425)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c1_1(a2422)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c3_1(a2422)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c1_1(a2420)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c2_1(a2420)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f71,negated_conjecture,
( c3_1(a2417)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a2416)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c0_1(a2414)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c2_1(a2413)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c1_1(a2412)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c2_1(a2411)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c0_1(a2410)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c1_1(a2410)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a2408)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c3_1(a2408)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c0_1(a2407)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f84,negated_conjecture,
( c1_1(a2403)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c0_1(a2402)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c3_1(a2402)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f90,negated_conjecture,
( ~ hskp26
| ~ c3_1(a2484) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp25
| ~ c0_1(a2478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp25
| ~ c3_1(a2478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f95,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2455) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp22
| ~ c0_1(a2453) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2453) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp22
| ~ c2_1(a2453) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp21
| ~ c1_1(a2437) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2435) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp20
| ~ c2_1(a2435) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2432) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2428) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2428) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp18
| ~ c3_1(a2428) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2427) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2425) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2425) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2422) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2420) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f112,negated_conjecture,
( ~ hskp12
| ~ c0_1(a2417) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2417) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2416) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2416) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2414) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2414) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2413) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2413) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp8
| ~ c0_1(a2412) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp8
| ~ c2_1(a2412) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp7
| ~ c1_1(a2411) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp7
| ~ c3_1(a2411) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2410) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp5
| ~ c2_1(a2408) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp4
| ~ c1_1(a2407) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2407) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
( ~ hskp2
| ~ c1_1(a2404) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2404) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2404) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2403) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2403) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2402) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp9
| hskp8
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp0
| hskp29
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp15
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp21
| hskp30
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp22
| hskp5
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp16
| hskp10
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp12
| hskp16
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp19
| hskp5
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp11
| hskp12
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( hskp17
| hskp21
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp9
| hskp1
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp9
| hskp28
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f163,negated_conjecture,
! [X0] :
( hskp25
| hskp19
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f166,negated_conjecture,
! [X0] :
( hskp23
| hskp6
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0] :
( hskp23
| hskp14
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0] :
( hskp18
| hskp20
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0] :
( hskp0
| hskp21
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0] :
( hskp11
| hskp15
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp23
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp5
| c1_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',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp29
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp10
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp19
| 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',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp14
| 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',clause187) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( hskp20
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f192,negated_conjecture,
! [X0,X1] :
( hskp2
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X0,X1] :
( hskp30
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( hskp20
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| 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',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
tcf(c_266,negated_conjecture,
( ndr1_0
| ~ hskp18 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_279,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_281,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_284,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_286,negated_conjecture,
( hskp19
| hskp26
| hskp30 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_287,negated_conjecture,
( hskp8
| hskp11
| hskp26 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_288,negated_conjecture,
( hskp3
| hskp5
| hskp18 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_289,negated_conjecture,
( hskp5
| hskp19
| hskp25 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_290,negated_conjecture,
( hskp7
| hskp8
| hskp9 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_294,negated_conjecture,
( c0_1(a2450)
| ~ hskp30 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_295,negated_conjecture,
( c1_1(a2450)
| ~ hskp30 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_296,negated_conjecture,
( c3_1(a2450)
| ~ hskp30 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_297,negated_conjecture,
( c0_1(a2409)
| ~ hskp29 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_298,negated_conjecture,
( c2_1(a2409)
| ~ hskp29 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_299,negated_conjecture,
( c3_1(a2409)
| ~ hskp29 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_300,negated_conjecture,
( c1_1(a2406)
| ~ hskp28 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_301,negated_conjecture,
( c2_1(a2406)
| ~ hskp28 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_302,negated_conjecture,
( c3_1(a2406)
| ~ hskp28 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_303,negated_conjecture,
( c0_1(a2484)
| ~ hskp26 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_304,negated_conjecture,
( c1_1(a2484)
| ~ hskp26 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_305,negated_conjecture,
( c2_1(a2478)
| ~ hskp25 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_307,negated_conjecture,
( c2_1(a2455)
| ~ hskp23 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_308,negated_conjecture,
( c3_1(a2455)
| ~ hskp23 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_309,negated_conjecture,
( c0_1(a2437)
| ~ hskp21 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_310,negated_conjecture,
( c2_1(a2437)
| ~ hskp21 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_311,negated_conjecture,
( c3_1(a2435)
| ~ hskp20 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_312,negated_conjecture,
( c1_1(a2432)
| ~ hskp19 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_313,negated_conjecture,
( c3_1(a2432)
| ~ hskp19 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_314,negated_conjecture,
( c2_1(a2427)
| ~ hskp17 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_315,negated_conjecture,
( c3_1(a2427)
| ~ hskp17 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_316,negated_conjecture,
( c0_1(a2425)
| ~ hskp16 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_317,negated_conjecture,
( c1_1(a2422)
| ~ hskp15 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_318,negated_conjecture,
( c3_1(a2422)
| ~ hskp15 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_319,negated_conjecture,
( c1_1(a2420)
| ~ hskp14 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_320,negated_conjecture,
( c2_1(a2420)
| ~ hskp14 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_323,negated_conjecture,
( c3_1(a2417)
| ~ hskp12 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_324,negated_conjecture,
( c3_1(a2416)
| ~ hskp11 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_325,negated_conjecture,
( c0_1(a2414)
| ~ hskp10 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_326,negated_conjecture,
( c2_1(a2413)
| ~ hskp9 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_327,negated_conjecture,
( c1_1(a2412)
| ~ hskp8 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_328,negated_conjecture,
( c2_1(a2411)
| ~ hskp7 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_329,negated_conjecture,
( c0_1(a2410)
| ~ hskp6 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_330,negated_conjecture,
( c1_1(a2410)
| ~ hskp6 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_331,negated_conjecture,
( c0_1(a2408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_332,negated_conjecture,
( c3_1(a2408)
| ~ hskp5 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_333,negated_conjecture,
( c0_1(a2407)
| ~ hskp4 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_336,negated_conjecture,
( c1_1(a2403)
| ~ hskp1 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_337,negated_conjecture,
( c0_1(a2402)
| ~ hskp0 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_338,negated_conjecture,
( c3_1(a2402)
| ~ hskp0 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_342,negated_conjecture,
( ~ hskp26
| ~ c3_1(a2484) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_343,negated_conjecture,
( ~ hskp25
| ~ c0_1(a2478) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_344,negated_conjecture,
( ~ hskp25
| ~ c3_1(a2478) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_347,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2455) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_348,negated_conjecture,
( ~ hskp22
| ~ c0_1(a2453) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_349,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2453) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_350,negated_conjecture,
( ~ hskp22
| ~ c2_1(a2453) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_351,negated_conjecture,
( ~ hskp21
| ~ c1_1(a2437) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_352,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2435) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_353,negated_conjecture,
( ~ hskp20
| ~ c2_1(a2435) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_354,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2432) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_355,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2428) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_356,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2428) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_357,negated_conjecture,
( ~ hskp18
| ~ c3_1(a2428) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_358,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2427) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_359,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2425) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_360,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2425) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_361,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2422) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_362,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2420) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_364,negated_conjecture,
( ~ hskp12
| ~ c0_1(a2417) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_365,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2417) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_366,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2416) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_367,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2416) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_368,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2414) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_369,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2414) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_370,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2413) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_371,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2413) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_372,negated_conjecture,
( ~ hskp8
| ~ c0_1(a2412) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_373,negated_conjecture,
( ~ hskp8
| ~ c2_1(a2412) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_374,negated_conjecture,
( ~ hskp7
| ~ c1_1(a2411) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_375,negated_conjecture,
( ~ hskp7
| ~ c3_1(a2411) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_376,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2410) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_377,negated_conjecture,
( ~ hskp5
| ~ c2_1(a2408) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_378,negated_conjecture,
( ~ hskp4
| ~ c1_1(a2407) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_379,negated_conjecture,
( ~ hskp4
| ~ c2_1(a2407) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_381,negated_conjecture,
( ~ hskp2
| ~ c1_1(a2404) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_382,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2404) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_383,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2404) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_384,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2403) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_385,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2403) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_386,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2402) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_394,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp29
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( hskp15
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp30
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_399,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp22
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp16
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp16
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp19
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp12
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp21
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp9
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp28
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp25
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_418,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp23
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_420,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp23
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_421,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp20
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_422,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp21
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp15
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp30
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_449,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_452,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_453,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_454,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_455,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_456,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_502,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_284,c_288,c_281,c_279,c_266]) ).
tcf(c_584,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp19
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_288,c_281,c_279,c_266,c_403]) ).
tcf(c_587,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp16
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_288,c_281,c_279,c_266,c_402]) ).
tcf(c_593,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp16
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_288,c_281,c_279,c_266,c_400]) ).
tcf(c_596,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp22
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_288,c_281,c_279,c_266,c_399]) ).
tcf(c_599,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp30
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_288,c_281,c_279,c_266,c_398]) ).
tcf(c_602,plain,
! [X0: $i] :
( hskp15
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_288,c_281,c_279,c_266,c_397]) ).
tcf(c_603,negated_conjecture,
! [X0: $i] :
( hskp15
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_602]) ).
tcf(c_611,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp29
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_288,c_281,c_279,c_266,c_394]) ).
tcf(c_617,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_288,c_281,c_279,c_266,c_392]) ).
tcf(c_623,plain,
! [X0: $i] :
( hskp6
| hskp23
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_288,c_281,c_279,c_266,c_418]) ).
tcf(c_624,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp23
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_623]) ).
tcf(c_632,plain,
! [X0: $i] :
( hskp19
| hskp25
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_288,c_281,c_279,c_266,c_415]) ).
tcf(c_633,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp25
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_632]) ).
tcf(c_644,plain,
! [X0: $i] :
( hskp9
| hskp28
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_411,c_288,c_281,c_279,c_266,c_411]) ).
tcf(c_645,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp28
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_644]) ).
tcf(c_653,plain,
! [X0: $i] :
( hskp1
| hskp9
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_288,c_281,c_279,c_266,c_408]) ).
tcf(c_654,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp9
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_653]) ).
tcf(c_656,plain,
! [X0: $i] :
( hskp17
| hskp21
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_288,c_281,c_279,c_266,c_407]) ).
tcf(c_657,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp21
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_656]) ).
tcf(c_659,plain,
! [X0: $i] :
( hskp11
| hskp12
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_288,c_281,c_279,c_266,c_406]) ).
tcf(c_660,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp12
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_659]) ).
tcf(c_662,plain,
! [X0: $i] :
( hskp11
| hskp15
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_288,c_281,c_279,c_266,c_423]) ).
tcf(c_663,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp15
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
tcf(c_665,plain,
! [X0: $i] :
( hskp0
| hskp21
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_288,c_281,c_279,c_266,c_422]) ).
tcf(c_666,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp21
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_668,plain,
! [X0: $i] :
( hskp18
| hskp20
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_288,c_281,c_279,c_266,c_421]) ).
tcf(c_669,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp20
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_668]) ).
tcf(c_671,plain,
! [X0: $i] :
( hskp14
| hskp23
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_288,c_281,c_279,c_266,c_420]) ).
tcf(c_672,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp23
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_671]) ).
tcf(c_677,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_288,c_281,c_279,c_266,c_424]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_288,c_281,c_279,c_266,c_428]) ).
tcf(c_681,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_680]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_288,c_281,c_279,c_266,c_426]) ).
tcf(c_686,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_685]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_288,c_281,c_279,c_266,c_425]) ).
tcf(c_688,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_288,c_281,c_279,c_266,c_439]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_288,c_281,c_279,c_266,c_438]) ).
tcf(c_692,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_288,c_281,c_279,c_266,c_437]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_288,c_281,c_279,c_266,c_436]) ).
tcf(c_697,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_696]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_288,c_281,c_279,c_266,c_435]) ).
tcf(c_699,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_698]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_288,c_281,c_279,c_266,c_433]) ).
tcf(c_703,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_702]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i] :
( hskp29
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_288,c_281,c_279,c_266,c_432]) ).
tcf(c_706,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_705]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_288,c_281,c_279,c_266,c_431]) ).
tcf(c_708,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_707]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_288,c_281,c_279,c_266,c_430]) ).
tcf(c_711,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_710]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] :
( hskp30
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_288,c_281,c_279,c_266,c_445]) ).
tcf(c_715,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp30
| c3_1(X0)
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_714]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_288,c_281,c_279,c_266,c_444]) ).
tcf(c_717,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_716]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i] :
( hskp20
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_288,c_281,c_279,c_266,c_442]) ).
tcf(c_722,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_721]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_288,c_281,c_279,c_266,c_441]) ).
tcf(c_725,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_724]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_288,c_281,c_279,c_266,c_447]) ).
tcf(c_729,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_728]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_288,c_281,c_279,c_266,c_450]) ).
tcf(c_734,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_733]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_288,c_281,c_279,c_266,c_449]) ).
tcf(c_736,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_735]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_288,c_281,c_279,c_266,c_448]) ).
tcf(c_738,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_453,c_288,c_281,c_279,c_266,c_453]) ).
tcf(c_740,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_739]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_452,c_288,c_281,c_279,c_266,c_452]) ).
tcf(c_742,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_741]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_288,c_281,c_279,c_266,c_451]) ).
tcf(c_744,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_743]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X1)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_288,c_281,c_279,c_266,c_456]) ).
tcf(c_746,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X1)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_745]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_455,c_502]) ).
tcf(c_748,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_747]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_288,c_281,c_279,c_266,c_454]) ).
tcf(c_750,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_749]) ).
tcf(c_2838,plain,
( hskp8
| hskp11
| ~ c3_1(a2484) ),
inference(resolution,[status(thm)],[c_287,c_342]) ).
tcf(c_2848,plain,
( hskp8
| hskp11
| c1_1(a2484) ),
inference(resolution,[status(thm)],[c_287,c_304]) ).
tcf(c_2858,plain,
( hskp8
| hskp11
| c0_1(a2484) ),
inference(resolution,[status(thm)],[c_287,c_303]) ).
tcf(c_2868,plain,
( hskp19
| hskp30
| ~ c3_1(a2484) ),
inference(resolution,[status(thm)],[c_286,c_342]) ).
tcf(c_2878,plain,
( hskp19
| hskp30
| c1_1(a2484) ),
inference(resolution,[status(thm)],[c_286,c_304]) ).
tcf(c_2888,plain,
( hskp19
| hskp30
| c0_1(a2484) ),
inference(resolution,[status(thm)],[c_286,c_303]) ).
tcf(c_5466,plain,
( hskp5
| hskp19
| ~ c3_1(a2478) ),
inference(resolution,[status(thm)],[c_289,c_344]) ).
tcf(c_5486,plain,
( hskp5
| hskp19
| c2_1(a2478) ),
inference(resolution,[status(thm)],[c_289,c_305]) ).
tcf(c_7609,plain,
( hskp8
| hskp9
| ~ c3_1(a2411) ),
inference(resolution,[status(thm)],[c_290,c_375]) ).
tcf(c_7619,plain,
( hskp8
| hskp9
| ~ c1_1(a2411) ),
inference(resolution,[status(thm)],[c_290,c_374]) ).
tcf(c_8269,plain,
( hskp19
| hskp25
| ~ c2_1(a2408) ),
inference(resolution,[status(thm)],[c_289,c_377]) ).
tcf(c_8289,plain,
( hskp19
| hskp25
| c0_1(a2408) ),
inference(resolution,[status(thm)],[c_289,c_331]) ).
tcf(c_18433,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_750]) ).
tcf(c_18434,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_750]) ).
tcf(c_18435,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_750]) ).
tcf(c_18436,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_750]) ).
tcf(c_18437,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_748]) ).
tcf(c_18438,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_748]) ).
tcf(c_18439,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_748]) ).
tcf(c_18440,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_748]) ).
tcf(c_18441,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_746]) ).
tcf(c_18442,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_746]) ).
tcf(c_18443,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_746]) ).
tcf(c_18444,negated_conjecture,
( iPr_def_18
| iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_746]) ).
tcf(c_18445,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_744]) ).
tcf(c_18446,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_744]) ).
tcf(c_18448,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_742]) ).
tcf(c_18449,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_742]) ).
tcf(c_18450,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_742]) ).
tcf(c_18451,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_740]) ).
tcf(c_18452,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_740]) ).
tcf(c_18453,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_740]) ).
tcf(c_18454,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_740]) ).
tcf(c_18455,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_738]) ).
tcf(c_18456,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_738]) ).
tcf(c_18457,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_738]) ).
tcf(c_18458,negated_conjecture,
( iPr_def_27
| iPr_def_22
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_736]) ).
tcf(c_18459,negated_conjecture,
( iPr_def_27
| iPr_def_22
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_734]) ).
tcf(c_18461,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_729]) ).
tcf(c_18462,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_729]) ).
tcf(c_18463,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_729]) ).
tcf(c_18465,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_725]) ).
tcf(c_18466,negated_conjecture,
( iPr_def_30
| iPr_def_18
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_725]) ).
tcf(c_18467,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_722]) ).
tcf(c_18468,negated_conjecture,
( iPr_def_31
| iPr_def_22
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_722]) ).
tcf(c_18470,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_717]) ).
tcf(c_18471,negated_conjecture,
( iPr_def_32
| iPr_def_16
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_717]) ).
tcf(c_18472,negated_conjecture,
( iPr_def_22
| iPr_def_12
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_715]) ).
tcf(c_18475,negated_conjecture,
( iPr_def_31
| iPr_def_26
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_711]) ).
tcf(c_18476,negated_conjecture,
( iPr_def_32
| iPr_def_26
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_708]) ).
tcf(c_18477,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_706]) ).
tcf(c_18478,negated_conjecture,
( iPr_def_34
| iPr_def_26
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_706]) ).
tcf(c_18479,negated_conjecture,
( iPr_def_19
| iPr_def_16
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_703]) ).
tcf(c_18481,negated_conjecture,
( iPr_def_21
| iPr_def_11
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_699]) ).
tcf(c_18482,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_697]) ).
tcf(c_18483,negated_conjecture,
( iPr_def_35
| iPr_def_16
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_697]) ).
tcf(c_18484,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_694]) ).
tcf(c_18486,negated_conjecture,
( iPr_def_36
| iPr_def_25
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).
tcf(c_18487,negated_conjecture,
( iPr_def_36
| iPr_def_12
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_18488,negated_conjecture,
( iPr_def_27
| iPr_def_16
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_688]) ).
tcf(c_18489,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_686]) ).
tcf(c_18490,negated_conjecture,
( iPr_def_37
| iPr_def_35
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).
tcf(c_18492,negated_conjecture,
( iPr_def_35
| iPr_def_14
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_681]) ).
tcf(c_18493,negated_conjecture,
( iPr_def_27
| iPr_def_19
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_18495,negated_conjecture,
( iPr_def_18
| hskp14
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).
tcf(c_18496,negated_conjecture,
( iPr_def_15
| hskp18
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_669]) ).
tcf(c_18497,negated_conjecture,
( iPr_def_10
| hskp0
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).
tcf(c_18498,negated_conjecture,
( iPr_def_10
| hskp11
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_18499,negated_conjecture,
( iPr_def_21
| hskp11
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_660]) ).
tcf(c_18500,negated_conjecture,
( iPr_def_31
| hskp17
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_657]) ).
tcf(c_18501,negated_conjecture,
( iPr_def_31
| hskp1
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).
tcf(c_18504,negated_conjecture,
( iPr_def_32
| hskp9
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).
tcf(c_18508,negated_conjecture,
( iPr_def_25
| hskp19
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).
tcf(c_18511,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_624]) ).
tcf(c_18512,negated_conjecture,
( iPr_def_38
| hskp6
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).
tcf(c_18514,negated_conjecture,
( iPr_def_26
| hskp8
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).
tcf(c_18516,negated_conjecture,
( iPr_def_24
| hskp0
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).
tcf(c_18519,negated_conjecture,
( iPr_def_23
| hskp21
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).
tcf(c_18520,negated_conjecture,
( iPr_def_23
| hskp5
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_596]) ).
tcf(c_18521,negated_conjecture,
( iPr_def_35
| hskp10
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).
tcf(c_18523,negated_conjecture,
( iPr_def_36
| hskp12
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_18524,negated_conjecture,
( iPr_def_17
| hskp5
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_584]) ).
tcf(c_18541,plain,
( c2_1(a2402)
| c1_1(a2402)
| ~ iPr_def_35
| ~ c3_1(a2402) ),
inference(instantiation,[status(thm)],[c_18482]) ).
tcf(c_18545,plain,
( c1_1(a2402)
| ~ iPr_def_13
| ~ c2_1(a2402)
| ~ c0_1(a2402) ),
inference(instantiation,[status(thm)],[c_18437]) ).
tcf(c_18553,plain,
( c1_1(a2402)
| ~ iPr_def_34
| ~ c3_1(a2402)
| ~ c0_1(a2402) ),
inference(instantiation,[status(thm)],[c_18477]) ).
tcf(c_18556,plain,
( ~ iPr_def_15
| ~ c3_1(a2402)
| ~ c2_1(a2402)
| ~ c0_1(a2402) ),
inference(instantiation,[status(thm)],[c_18439]) ).
tcf(c_18566,plain,
( ~ iPr_def_10
| ~ c3_1(a2432)
| ~ c2_1(a2432)
| ~ c1_1(a2432) ),
inference(instantiation,[status(thm)],[c_18433]) ).
tcf(c_18572,plain,
( c1_1(a2409)
| ~ iPr_def_13
| ~ c2_1(a2409)
| ~ c0_1(a2409) ),
inference(instantiation,[status(thm)],[c_18437]) ).
tcf(c_18581,plain,
( c3_1(a2412)
| c2_1(a2412)
| ~ iPr_def_14
| ~ c1_1(a2412) ),
inference(instantiation,[status(thm)],[c_18438]) ).
tcf(c_18582,plain,
( c3_1(a2410)
| c2_1(a2410)
| ~ iPr_def_14
| ~ c1_1(a2410) ),
inference(instantiation,[status(thm)],[c_18438]) ).
tcf(c_18583,plain,
( c3_1(a2403)
| c2_1(a2403)
| ~ iPr_def_14
| ~ c1_1(a2403) ),
inference(instantiation,[status(thm)],[c_18438]) ).
tcf(c_18585,plain,
( c3_1(a2425)
| c2_1(a2425)
| ~ iPr_def_17
| ~ c0_1(a2425) ),
inference(instantiation,[status(thm)],[c_18442]) ).
tcf(c_18588,plain,
( c3_1(a2407)
| c2_1(a2407)
| ~ iPr_def_17
| ~ c0_1(a2407) ),
inference(instantiation,[status(thm)],[c_18442]) ).
tcf(c_18590,plain,
( ~ iPr_def_18
| ~ c3_1(a2409)
| ~ c1_1(a2409)
| ~ c0_1(a2409) ),
inference(instantiation,[status(thm)],[c_18443]) ).
tcf(c_18592,plain,
( ~ iPr_def_18
| ~ c3_1(a2410)
| ~ c1_1(a2410)
| ~ c0_1(a2410) ),
inference(instantiation,[status(thm)],[c_18443]) ).
tcf(c_18593,plain,
( ~ iPr_def_18
| ~ c3_1(a2408)
| ~ c1_1(a2408)
| ~ c0_1(a2408) ),
inference(instantiation,[status(thm)],[c_18443]) ).
tcf(c_18597,plain,
( c1_1(a2435)
| c0_1(a2435)
| ~ iPr_def_19
| ~ c3_1(a2435) ),
inference(instantiation,[status(thm)],[c_18445]) ).
tcf(c_18603,plain,
( c2_1(a2432)
| ~ iPr_def_22
| ~ c3_1(a2432)
| ~ c1_1(a2432) ),
inference(instantiation,[status(thm)],[c_18449]) ).
tcf(c_18604,plain,
( c2_1(a2422)
| ~ iPr_def_22
| ~ c3_1(a2422)
| ~ c1_1(a2422) ),
inference(instantiation,[status(thm)],[c_18449]) ).
tcf(c_18607,plain,
( c2_1(a2410)
| ~ iPr_def_22
| ~ c3_1(a2410)
| ~ c1_1(a2410) ),
inference(instantiation,[status(thm)],[c_18449]) ).
tcf(c_18613,plain,
( c2_1(a2407)
| c1_1(a2407)
| ~ iPr_def_23
| ~ c0_1(a2407) ),
inference(instantiation,[status(thm)],[c_18451]) ).
tcf(c_18617,plain,
( ~ iPr_def_10
| ~ c3_1(a2409)
| ~ c2_1(a2409)
| ~ c1_1(a2409) ),
inference(instantiation,[status(thm)],[c_18433]) ).
tcf(c_18635,plain,
( c2_1(a2408)
| ~ iPr_def_22
| ~ c3_1(a2408)
| ~ c1_1(a2408) ),
inference(instantiation,[status(thm)],[c_18449]) ).
tcf(c_18639,plain,
( c2_1(a2422)
| c0_1(a2422)
| ~ iPr_def_24
| ~ c1_1(a2422) ),
inference(instantiation,[status(thm)],[c_18452]) ).
tcf(c_18641,plain,
( c2_1(a2412)
| c0_1(a2412)
| ~ iPr_def_24
| ~ c1_1(a2412) ),
inference(instantiation,[status(thm)],[c_18452]) ).
tcf(c_18650,plain,
( c1_1(a2416)
| ~ iPr_def_34
| ~ c3_1(a2416)
| ~ c0_1(a2416) ),
inference(instantiation,[status(thm)],[c_18477]) ).
tcf(c_18651,plain,
( c1_1(a2408)
| ~ iPr_def_34
| ~ c3_1(a2408)
| ~ c0_1(a2408) ),
inference(instantiation,[status(thm)],[c_18477]) ).
tcf(c_18653,plain,
( c1_1(a2417)
| c0_1(a2417)
| ~ iPr_def_19
| ~ c3_1(a2417) ),
inference(instantiation,[status(thm)],[c_18445]) ).
tcf(c_18664,plain,
( c2_1(a2417)
| c1_1(a2417)
| ~ iPr_def_35
| ~ c3_1(a2417) ),
inference(instantiation,[status(thm)],[c_18482]) ).
tcf(c_18665,plain,
( c2_1(a2416)
| c1_1(a2416)
| ~ iPr_def_35
| ~ c3_1(a2416) ),
inference(instantiation,[status(thm)],[c_18482]) ).
tcf(c_18666,plain,
( c2_1(a2408)
| c1_1(a2408)
| ~ iPr_def_35
| ~ c3_1(a2408) ),
inference(instantiation,[status(thm)],[c_18482]) ).
tcf(c_18667,plain,
( c1_1(a2409)
| ~ iPr_def_16
| ~ c3_1(a2409)
| ~ c2_1(a2409) ),
inference(instantiation,[status(thm)],[c_18441]) ).
tcf(c_18670,plain,
( c1_1(a2427)
| ~ iPr_def_16
| ~ c3_1(a2427)
| ~ c2_1(a2427) ),
inference(instantiation,[status(thm)],[c_18441]) ).
tcf(c_18672,plain,
( c1_1(a2417)
| ~ iPr_def_16
| ~ c3_1(a2417)
| ~ c2_1(a2417) ),
inference(instantiation,[status(thm)],[c_18441]) ).
tcf(c_18675,plain,
( c2_1(a2435)
| c1_1(a2435)
| c0_1(a2435)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_18456]) ).
tcf(c_18678,plain,
( c2_1(a2416)
| c1_1(a2416)
| c0_1(a2416)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_18456]) ).
tcf(c_18683,plain,
( c2_1(a2404)
| c1_1(a2404)
| c0_1(a2404)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_18456]) ).
tcf(c_18694,plain,
( c0_1(a2420)
| ~ iPr_def_21
| ~ c2_1(a2420)
| ~ c1_1(a2420) ),
inference(instantiation,[status(thm)],[c_18448]) ).
tcf(c_18721,plain,
( c0_1(a2435)
| ~ iPr_def_31
| ~ c3_1(a2435)
| ~ c1_1(a2435) ),
inference(instantiation,[status(thm)],[c_18467]) ).
tcf(c_18722,plain,
( c0_1(a2432)
| ~ iPr_def_31
| ~ c3_1(a2432)
| ~ c1_1(a2432) ),
inference(instantiation,[status(thm)],[c_18467]) ).
tcf(c_18724,plain,
( c0_1(a2422)
| ~ iPr_def_31
| ~ c3_1(a2422)
| ~ c1_1(a2422) ),
inference(instantiation,[status(thm)],[c_18467]) ).
tcf(c_18730,plain,
( c3_1(a2413)
| c1_1(a2413)
| ~ iPr_def_36
| ~ c2_1(a2413) ),
inference(instantiation,[status(thm)],[c_18484]) ).
tcf(c_18733,plain,
( c3_1(a2484)
| ~ iPr_def_12
| ~ c1_1(a2484)
| ~ c0_1(a2484) ),
inference(instantiation,[status(thm)],[c_18435]) ).
tcf(c_18741,plain,
( c3_1(a2484)
| c2_1(a2484)
| ~ iPr_def_14
| ~ c1_1(a2484) ),
inference(instantiation,[status(thm)],[c_18438]) ).
tcf(c_18749,plain,
( c3_1(a2420)
| ~ iPr_def_38
| ~ c2_1(a2420)
| ~ c1_1(a2420) ),
inference(instantiation,[status(thm)],[c_18511]) ).
tcf(c_18755,plain,
( c3_1(a2478)
| c1_1(a2478)
| ~ iPr_def_36
| ~ c2_1(a2478) ),
inference(instantiation,[status(thm)],[c_18484]) ).
tcf(c_18787,plain,
( ~ iPr_def_18
| ~ c3_1(a2422)
| ~ c1_1(a2422)
| ~ c0_1(a2422) ),
inference(instantiation,[status(thm)],[c_18443]) ).
tcf(c_18800,plain,
( c3_1(a2403)
| ~ iPr_def_12
| ~ c1_1(a2403)
| ~ c0_1(a2403) ),
inference(instantiation,[status(thm)],[c_18435]) ).
tcf(c_18808,plain,
( ~ iPr_def_29
| ~ c2_1(a2420)
| ~ c1_1(a2420)
| ~ c0_1(a2420) ),
inference(instantiation,[status(thm)],[c_18462]) ).
tcf(c_18809,plain,
( c3_1(a2420)
| ~ iPr_def_12
| ~ c1_1(a2420)
| ~ c0_1(a2420) ),
inference(instantiation,[status(thm)],[c_18435]) ).
tcf(c_18834,plain,
( c1_1(a2413)
| ~ iPr_def_16
| ~ c3_1(a2413)
| ~ c2_1(a2413) ),
inference(instantiation,[status(thm)],[c_18441]) ).
tcf(c_18839,plain,
( c1_1(a2478)
| c0_1(a2478)
| ~ iPr_def_26
| ~ c2_1(a2478) ),
inference(instantiation,[status(thm)],[c_18455]) ).
tcf(c_18841,plain,
( c1_1(a2413)
| c0_1(a2413)
| ~ iPr_def_26
| ~ c2_1(a2413) ),
inference(instantiation,[status(thm)],[c_18455]) ).
tcf(c_18850,plain,
( c3_1(a2484)
| ~ iPr_def_38
| ~ c2_1(a2484)
| ~ c1_1(a2484) ),
inference(instantiation,[status(thm)],[c_18511]) ).
tcf(c_18872,plain,
( c0_1(a2478)
| ~ iPr_def_21
| ~ c2_1(a2478)
| ~ c1_1(a2478) ),
inference(instantiation,[status(thm)],[c_18448]) ).
tcf(c_18882,plain,
( c1_1(a2437)
| ~ iPr_def_13
| ~ c2_1(a2437)
| ~ c0_1(a2437) ),
inference(instantiation,[status(thm)],[c_18437]) ).
tcf(c_18887,plain,
( c1_1(a2455)
| c0_1(a2455)
| ~ iPr_def_26
| ~ c2_1(a2455) ),
inference(instantiation,[status(thm)],[c_18455]) ).
tcf(c_18889,plain,
( c0_1(a2455)
| ~ iPr_def_32
| ~ c3_1(a2455)
| ~ c2_1(a2455) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_18892,plain,
( hskp15
| c0_1(a2455)
| ~ c3_1(a2455)
| ~ c2_1(a2455) ),
inference(instantiation,[status(thm)],[c_603]) ).
tcf(c_18893,plain,
( c0_1(a2455)
| ~ iPr_def_31
| ~ c3_1(a2455)
| ~ c1_1(a2455) ),
inference(instantiation,[status(thm)],[c_18467]) ).
tcf(c_18894,plain,
( c1_1(a2455)
| ~ iPr_def_16
| ~ c3_1(a2455)
| ~ c2_1(a2455) ),
inference(instantiation,[status(thm)],[c_18441]) ).
tcf(c_18903,plain,
( c3_1(a2420)
| ~ iPr_def_28
| ~ c2_1(a2420)
| ~ c0_1(a2420) ),
inference(instantiation,[status(thm)],[c_18461]) ).
tcf(c_18977,plain,
( c3_1(a2404)
| c2_1(a2404)
| ~ iPr_def_17
| ~ c0_1(a2404) ),
inference(instantiation,[status(thm)],[c_18442]) ).
tcf(c_18982,plain,
( ~ iPr_def_18
| ~ c3_1(a2450)
| ~ c1_1(a2450)
| ~ c0_1(a2450) ),
inference(instantiation,[status(thm)],[c_18443]) ).
tcf(c_18988,plain,
( c3_1(a2428)
| c2_1(a2428)
| c0_1(a2428)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_18446]) ).
tcf(c_18994,plain,
( c3_1(a2403)
| c2_1(a2403)
| c0_1(a2403)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_18446]) ).
tcf(c_18997,plain,
( c1_1(a2411)
| c0_1(a2411)
| ~ iPr_def_26
| ~ c2_1(a2411) ),
inference(instantiation,[status(thm)],[c_18455]) ).
tcf(c_19019,plain,
( c3_1(a2411)
| c1_1(a2411)
| ~ iPr_def_11
| ~ c0_1(a2411) ),
inference(instantiation,[status(thm)],[c_18434]) ).
tcf(c_19021,plain,
( c3_1(a2404)
| c1_1(a2404)
| ~ iPr_def_11
| ~ c0_1(a2404) ),
inference(instantiation,[status(thm)],[c_18434]) ).
tcf(c_19046,plain,
( c0_1(a2406)
| ~ iPr_def_31
| ~ c3_1(a2406)
| ~ c1_1(a2406) ),
inference(instantiation,[status(thm)],[c_18467]) ).
tcf(c_19047,plain,
( c0_1(a2412)
| ~ iPr_def_31
| ~ c3_1(a2412)
| ~ c1_1(a2412) ),
inference(instantiation,[status(thm)],[c_18467]) ).
tcf(c_19050,plain,
( c3_1(a2414)
| c1_1(a2414)
| ~ iPr_def_11
| ~ c0_1(a2414) ),
inference(instantiation,[status(thm)],[c_18434]) ).
tcf(c_19056,plain,
( c3_1(a2478)
| c0_1(a2478)
| ~ iPr_def_37
| ~ c1_1(a2478) ),
inference(instantiation,[status(thm)],[c_18489]) ).
tcf(c_19088,plain,
( c2_1(a2435)
| c0_1(a2435)
| ~ iPr_def_24
| ~ c1_1(a2435) ),
inference(instantiation,[status(thm)],[c_18452]) ).
tcf(c_19170,plain,
( c2_1(a2417)
| c1_1(a2417)
| c0_1(a2417)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_18456]) ).
tcf(c_19174,plain,
( c2_1(a2435)
| c0_1(a2435)
| ~ iPr_def_30
| ~ c3_1(a2435) ),
inference(instantiation,[status(thm)],[c_18465]) ).
tcf(c_19183,plain,
( c2_1(a2407)
| c1_1(a2407)
| ~ iPr_def_35
| ~ c3_1(a2407) ),
inference(instantiation,[status(thm)],[c_18482]) ).
tcf(c_19192,plain,
( c0_1(a2417)
| ~ iPr_def_32
| ~ c3_1(a2417)
| ~ c2_1(a2417) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_19223,plain,
( c0_1(a2432)
| ~ iPr_def_32
| ~ c3_1(a2432)
| ~ c2_1(a2432) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_19323,plain,
( c2_1(a2408)
| ~ iPr_def_25
| ~ c1_1(a2408)
| ~ c0_1(a2408) ),
inference(instantiation,[status(thm)],[c_18453]) ).
tcf(c_19338,plain,
( c2_1(a2453)
| c1_1(a2453)
| c0_1(a2453)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_18456]) ).
tcf(c_19432,plain,
( c2_1(a2410)
| ~ iPr_def_25
| ~ c1_1(a2410)
| ~ c0_1(a2410) ),
inference(instantiation,[status(thm)],[c_18453]) ).
tcf(c_19579,plain,
( c0_1(a2455)
| ~ iPr_def_21
| ~ c2_1(a2455)
| ~ c1_1(a2455) ),
inference(instantiation,[status(thm)],[c_18448]) ).
tcf(c_19596,plain,
( ~ iPr_def_15
| ~ c3_1(a2409)
| ~ c2_1(a2409)
| ~ c0_1(a2409) ),
inference(instantiation,[status(thm)],[c_18439]) ).
tcf(c_19597,plain,
( ~ iPr_def_15
| ~ c3_1(a2406)
| ~ c2_1(a2406)
| ~ c0_1(a2406) ),
inference(instantiation,[status(thm)],[c_18439]) ).
tcf(c_19751,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19597,c_19596,c_19579,c_19432,c_19338,c_19323,c_19223,c_19192,c_19183,c_19174,c_19170,c_19088,c_19056,c_19050,c_19047,c_19046,c_19021,c_19019,c_18997,c_18994,c_18988,c_18982,c_18977,c_18903,c_18892,c_18893,c_18894,c_18887,c_18889,c_18882,c_18872,c_18850,c_18841,c_18839,c_18834,c_18808,c_18809,c_18800,c_18787,c_18755,c_18749,c_18741,c_18733,c_18730,c_18724,c_18722,c_18721,c_18694,c_18683,c_18678,c_18675,c_18672,c_18670,c_18667,c_18666,c_18665,c_18664,c_18653,c_18651,c_18650,c_18641,c_18639,c_18635,c_18617,c_18613,c_18607,c_18604,c_18603,c_18597,c_18593,c_18592,c_18590,c_18588,c_18585,c_18583,c_18582,c_18581,c_18572,c_18566,c_18556,c_18553,c_18545,c_18541,c_18524,c_18523,c_18521,c_18520,c_18519,c_18516,c_18514,c_18512,c_18508,c_18504,c_18501,c_18500,c_18499,c_18498,c_18497,c_18496,c_18495,c_18493,c_18492,c_18490,c_18488,c_18487,c_18486,c_18483,c_18481,c_18479,c_18478,c_18476,c_18475,c_18472,c_18471,c_18468,c_18466,c_18463,c_18459,c_18458,c_18457,c_18454,c_18450,c_18444,c_18440,c_18436,c_8289,c_8269,c_7619,c_7609,c_5486,c_5466,c_2888,c_2878,c_2868,c_2858,c_2848,c_2838,c_343,c_344,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_376,c_377,c_378,c_379,c_381,c_382,c_383,c_384,c_385,c_386,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_305,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_336,c_337,c_338,c_289,c_290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN488-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Fri Sep 25 01:31:29 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.32 Running EPR theorem proving
% 0.02/0.32 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
% 0.02/0.32
% 0.02/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.32
% 0.02/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 2.14/1.02 % SZS status Started for theBenchmark.p
% 2.14/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.02
% 2.14/1.02 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.14/1.02
% 2.14/1.02 % ------ iProver source info
% 2.14/1.02
% 2.14/1.02 % git: date: 2026-07-19 20:42:38 +0200
% 2.14/1.02 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.14/1.02 % git: non_committed_changes: false
% 2.14/1.02
% 2.14/1.02 % ------ Parsing...% successful
% 2.14/1.02
% 2.14/1.02
% 2.14/1.02 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.14/1.02 %
% 2.14/1.02
% 2.14/1.02 % ------ 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 %
% 2.14/1.02
% 2.14/1.02 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.14/1.02 gs_s sp: 110 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.14/1.02 % ------ Proving...
% 2.14/1.02 % ------ Problem Properties
% 2.14/1.02
% 2.14/1.02 %
% 2.14/1.02 % clauses 200
% 2.14/1.02 % conjectures 197
% 2.14/1.02 % EPR 200
% 2.14/1.02 % Horn 108
% 2.14/1.02 % unary 0
% 2.14/1.02 % binary 93
% 2.14/1.02 % lits 538
% 2.14/1.02 % lits eq 0
% 2.14/1.02 % fd_pure 0
% 2.14/1.02 % fd_pseudo 0
% 2.14/1.02 % fd_cond 0
% 2.14/1.02 % fd_pseudo_cond 0
% 2.14/1.02 % AC symbols 0
% 2.14/1.02
% 2.14/1.02 % ------ Schedule EPR non Horn non eq is on
% 2.14/1.02
% 2.14/1.02 % ------ no equalities: superposition off
% 2.14/1.02
% 2.14/1.02 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.14/1.02
% 2.14/1.02
% 2.14/1.02 % ------
% 2.14/1.02 % Current options:
% 2.14/1.02 % ------
% 2.14/1.02
% 2.14/1.02
% 2.14/1.02 %
% 2.14/1.02
% 2.14/1.02 % ------ Proving...
% 2.14/1.02 %
% 2.14/1.02
% 2.14/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 2.14/1.02
% 2.14/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.03
% 4.06/1.03
%------------------------------------------------------------------------------