%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN489-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 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 : Thu Sep 24 03:25:06 PM UTC 2026
% Result : Unsatisfiable 8.50s 6.57s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 180
% Syntax : Number of formulae : 786 ( 2 unt; 0 def)
% Number of atoms : 3060 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3712 (1438 ~;2226 |; 0 &)
% ( 48 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 82 ( 81 usr; 78 prp; 0-1 aty)
% Number of functors : 28 ( 28 usr; 28 con; 0-0 aty)
% Number of variables : 354 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause10,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(clause34,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause1,negated_conjecture,
( hskp0
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause90,negated_conjecture,
( ~ hskp27
| ~ c3_1(a2614) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause53,negated_conjecture,
( ~ hskp27
| c1_1(a2614) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause89,negated_conjecture,
( ~ hskp27
| ~ c2_1(a2614) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause68,negated_conjecture,
( ~ hskp17
| c3_1(a2541) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause104,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2541) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause105,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2541) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause69,negated_conjecture,
( ~ hskp16
| c0_1(a2540) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause107,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2540) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause106,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2540) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause124,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2523) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause82,negated_conjecture,
( ~ hskp6
| c1_1(a2523) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( ~ hskp6
| c0_1(a2523) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| hskp20
| hskp19
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause118,negated_conjecture,
( ~ hskp11
| ~ c3_1(a2531) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause72,negated_conjecture,
( ~ hskp11
| c1_1(a2531) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause73,negated_conjecture,
( ~ hskp11
| c2_1(a2531) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause131,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2518) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause87,negated_conjecture,
( ~ hskp2
| c1_1(a2518) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause65,negated_conjecture,
( ~ hskp19
| c3_1(a2548) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause64,negated_conjecture,
( ~ hskp19
| c0_1(a2548) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause102,negated_conjecture,
( ~ hskp19
| ~ c1_1(a2548) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause94,negated_conjecture,
( ~ hskp24
| ~ c1_1(a2555) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause57,negated_conjecture,
( ~ hskp24
| c0_1(a2555) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause96,negated_conjecture,
( ~ hskp23
| ~ c3_1(a2553) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause59,negated_conjecture,
( ~ hskp23
| c0_1(a2553) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause95,negated_conjecture,
( ~ hskp23
| ~ c1_1(a2553) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause49,negated_conjecture,
( ~ hskp29
| c3_1(a2556) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause47,negated_conjecture,
( ~ hskp29
| c1_1(a2556) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause48,negated_conjecture,
( ~ hskp29
| c2_1(a2556) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause38,negated_conjecture,
( hskp16
| hskp19
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause88,negated_conjecture,
( ~ hskp1
| c2_1(a2517) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause132,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2517) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause133,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2517) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause67,negated_conjecture,
( ~ hskp18
| c2_1(a2545) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause66,negated_conjecture,
( ~ hskp18
| c1_1(a2545) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause103,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2545) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause122,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2525) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause77,negated_conjecture,
( ~ hskp8
| c0_1(a2525) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause163,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
cnf(clause2,negated_conjecture,
( hskp27
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause63,negated_conjecture,
( ~ hskp20
| c2_1(a2549) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause100,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2549) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause101,negated_conjecture,
( ~ hskp20
| ~ c1_1(a2549) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause173,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp24
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause112,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2536) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause110,negated_conjecture,
( ~ hskp14
| ~ c0_1(a2536) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause111,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2536) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause62,negated_conjecture,
( ~ hskp21
| c1_1(a2551) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause61,negated_conjecture,
( ~ hskp21
| c0_1(a2551) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause99,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2551) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause74,negated_conjecture,
( ~ hskp10
| c3_1(a2528) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause120,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2528) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause78,negated_conjecture,
( ~ hskp8
| c2_1(a2525) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause197,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
cnf(clause170,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause36,negated_conjecture,
( hskp1
| hskp18
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause130,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2518) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause129,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2519) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause127,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2519) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause58,negated_conjecture,
( ~ hskp24
| c2_1(a2555) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause56,negated_conjecture,
( ~ hskp25
| c0_1(a2564) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause92,negated_conjecture,
( ~ hskp25
| ~ c1_1(a2564) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause93,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2564) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause182,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause117,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2533) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause115,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2533) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause156,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp25
| hskp24
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause55,negated_conjecture,
( ~ hskp26
| c3_1(a2601) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause54,negated_conjecture,
( ~ hskp26
| c0_1(a2601) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause76,negated_conjecture,
( ~ hskp9
| c3_1(a2526) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause121,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2526) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp1
| hskp23
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp30
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp14
| hskp20
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| hskp18
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause155,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp9
| hskp30
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
cnf(clause151,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp25
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp22
| hskp5
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause161,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause174,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause84,negated_conjecture,
( ~ hskp5
| c3_1(a2522) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause125,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2522) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause83,negated_conjecture,
( ~ hskp5
| c2_1(a2522) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause179,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause203,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
cnf(clause80,negated_conjecture,
( ~ hskp7
| c3_1(a2524) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause79,negated_conjecture,
( ~ hskp7
| c1_1(a2524) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause75,negated_conjecture,
( ~ hskp9
| c1_1(a2526) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause136,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2516) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause116,negated_conjecture,
( ~ hskp12
| ~ c2_1(a2533) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause98,negated_conjecture,
( ~ hskp22
| ~ c3_1(a2552) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause135,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2516) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause40,negated_conjecture,
( hskp3
| hskp27
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause46,negated_conjecture,
( ~ hskp30
| c2_1(a2558) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause44,negated_conjecture,
( ~ hskp30
| c0_1(a2558) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause45,negated_conjecture,
( ~ hskp30
| c1_1(a2558) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause43,negated_conjecture,
( ~ hskp31
| c3_1(a2597) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause41,negated_conjecture,
( ~ hskp31
| c0_1(a2597) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause42,negated_conjecture,
( ~ hskp31
| c1_1(a2597) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause128,negated_conjecture,
( ~ hskp3
| ~ c2_1(a2519) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause134,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2516) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause204,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c0_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
cnf(clause202,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
cnf(clause201,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
cnf(clause198,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
cnf(clause196,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
cnf(clause195,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
cnf(clause194,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause192,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause193,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
cnf(clause185,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause189,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
cnf(clause186,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause175,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause178,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause181,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp17
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause184,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause172,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause166,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause165,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp1
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause37,negated_conjecture,
( hskp20
| hskp2
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause123,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2524) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause97,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2552) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause91,negated_conjecture,
( ~ hskp26
| ~ c2_1(a2601) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause60,negated_conjecture,
( ~ hskp22
| c2_1(a2552) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause35,negated_conjecture,
( hskp26
| hskp21
| hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(c_0_132,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause10]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause34]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
c_0_132 ).
cnf(c_0_135,negated_conjecture,
( hskp0
| hskp24 ),
clause1 ).
cnf(c_0_136,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
c_0_133 ).
cnf(c_0_137,negated_conjecture,
( ~ hskp27
| ~ c3_1(a2614) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
fof(c_0_138,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp27
| c1_1(a2614) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
fof(c_0_140,plain,
( ~ epred2_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp27
| ~ c2_1(a2614) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
fof(c_0_142,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp17
| c3_1(a2541) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2541) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2541) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
fof(c_0_147,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp17 ) ),
introduced(definition) ).
fof(c_0_148,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp16
| c0_1(a2540) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2540) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2540) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
fof(c_0_152,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_153,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2523) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
fof(c_0_155,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_156,negated_conjecture,
( ~ hskp6
| c1_1(a2523) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
fof(c_0_157,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp24 ) ),
introduced(definition) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp6
| c0_1(a2523) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp27
| ~ c3_1(a2614) ),
c_0_137 ).
cnf(c_0_160,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp27
| c1_1(a2614) ),
c_0_139 ).
cnf(c_0_162,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_140]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp27
| ~ c2_1(a2614) ),
c_0_141 ).
cnf(c_0_164,negated_conjecture,
( ~ c3_1(X1)
| hskp29
| c1_1(X1)
| c2_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_143])]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp17
| c3_1(a2541) ),
c_0_144 ).
cnf(c_0_166,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2541) ),
c_0_145 ).
cnf(c_0_167,negated_conjecture,
( ~ hskp17
| ~ c2_1(a2541) ),
c_0_146 ).
cnf(c_0_168,negated_conjecture,
( ~ c1_1(X1)
| hskp17
| c3_1(X1)
| c2_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_147]),c_0_143])]) ).
cnf(c_0_169,negated_conjecture,
( ~ ndr1_0
| hskp20
| hskp19
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp11
| ~ c3_1(a2531) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp11
| c1_1(a2531) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp11
| c2_1(a2531) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
fof(c_0_173,plain,
( ~ epred13_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2518) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp2
| c1_1(a2518) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp19
| c3_1(a2548) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp19
| c0_1(a2548) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp19
| ~ c1_1(a2548) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_179,negated_conjecture,
( ~ c0_1(X1)
| hskp2
| c3_1(X1)
| c2_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_148]),c_0_143])]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp16
| c0_1(a2540) ),
c_0_149 ).
cnf(c_0_181,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2540) ),
c_0_150 ).
cnf(c_0_182,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2540) ),
c_0_151 ).
fof(c_0_183,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp24
| ~ c1_1(a2555) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_185,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_152]) ).
cnf(c_0_186,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred24_0 ),
inference(split_equiv,[status(thm)],[c_0_153]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp24
| c0_1(a2555) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2523) ),
c_0_154 ).
cnf(c_0_189,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_155]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp6
| c1_1(a2523) ),
c_0_156 ).
cnf(c_0_191,negated_conjecture,
( ~ c0_1(X1)
| hskp24
| c3_1(X1)
| c2_1(X1)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_143])]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp6
| c0_1(a2523) ),
c_0_158 ).
fof(c_0_193,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp23
| ~ c3_1(a2553) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp23
| c0_1(a2553) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp23
| ~ c1_1(a2553) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp27
| ~ c0_1(a2614)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp27
| c0_1(a2614)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_162]),c_0_163]) ).
fof(c_0_199,plain,
( ~ epred50_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp29
| c3_1(a2556) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_201,negated_conjecture,
( ~ hskp29
| c1_1(a2556) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp29
| c2_1(a2556) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp17
| hskp29
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_167]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp27
| hskp17
| epred31_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_161]),c_0_159]),c_0_163]) ).
fof(c_0_205,plain,
( ~ epred58_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_206,negated_conjecture,
( ~ ndr1_0
| hskp20
| hskp19
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
c_0_169 ).
cnf(c_0_207,negated_conjecture,
( ~ hskp11
| ~ c3_1(a2531) ),
c_0_170 ).
cnf(c_0_208,negated_conjecture,
( ~ hskp11
| c1_1(a2531) ),
c_0_171 ).
cnf(c_0_209,negated_conjecture,
( ~ hskp11
| c2_1(a2531) ),
c_0_172 ).
cnf(c_0_210,negated_conjecture,
( ~ c3_1(X1)
| hskp11
| c1_1(X1)
| c2_1(X1)
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_143])]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2518) ),
c_0_174 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp2
| c1_1(a2518) ),
c_0_175 ).
cnf(c_0_213,negated_conjecture,
( ~ hskp19
| c3_1(a2548) ),
c_0_176 ).
cnf(c_0_214,negated_conjecture,
( ~ hskp19
| c0_1(a2548) ),
c_0_177 ).
cnf(c_0_215,negated_conjecture,
( ~ hskp19
| ~ c1_1(a2548) ),
c_0_178 ).
cnf(c_0_216,negated_conjecture,
( ~ hskp16
| hskp2
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_217,negated_conjecture,
( hskp16
| hskp19
| hskp6 ),
clause38 ).
cnf(c_0_218,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_183]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp24
| ~ c1_1(a2555) ),
c_0_184 ).
cnf(c_0_220,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| epred24_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp24
| c0_1(a2555) ),
c_0_187 ).
cnf(c_0_222,negated_conjecture,
( ~ hskp6
| ~ c2_1(a2523)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp6
| hskp24
| c2_1(a2523)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_188]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp16
| hskp24
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_225,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_193]) ).
fof(c_0_226,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp1
| c2_1(a2517) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2517) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2517) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
fof(c_0_230,plain,
( ~ epred56_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp18
| c2_1(a2545) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp18
| c1_1(a2545) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2545) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2525) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp8
| c0_1(a2525) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
fof(c_0_236,plain,
( ~ epred53_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_237,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_238,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause163]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp23
| ~ c3_1(a2553) ),
c_0_194 ).
cnf(c_0_240,negated_conjecture,
( ~ hskp23
| c0_1(a2553) ),
c_0_195 ).
cnf(c_0_241,negated_conjecture,
( ~ hskp23
| ~ c1_1(a2553) ),
c_0_196 ).
cnf(c_0_242,negated_conjecture,
( ~ hskp27
| epred2_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_243,negated_conjecture,
( hskp27
| hskp23 ),
clause2 ).
fof(c_0_244,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_245,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred50_0 ),
inference(split_equiv,[status(thm)],[c_0_199]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp29
| c3_1(a2556) ),
c_0_200 ).
cnf(c_0_247,negated_conjecture,
( ~ hskp29
| c1_1(a2556) ),
c_0_201 ).
cnf(c_0_248,negated_conjecture,
( ~ hskp29
| c2_1(a2556) ),
c_0_202 ).
cnf(c_0_249,negated_conjecture,
( ~ hskp27
| hskp29
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
fof(c_0_250,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp20
| c2_1(a2549) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2549) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp20
| ~ c1_1(a2549) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_254,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred58_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_205]),c_0_143])]) ).
cnf(c_0_255,negated_conjecture,
( hskp20
| hskp19
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_143])]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp11
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_189]),c_0_208]),c_0_209]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp17
| hskp11
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_165]),c_0_166]),c_0_167]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2518)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_189]),c_0_212]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp2
| hskp17
| c2_1(a2518)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_212]),c_0_211]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp6
| hskp2
| c2_1(a2523)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_192]),c_0_188]) ).
cnf(c_0_261,negated_conjecture,
( ~ hskp19
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_213]),c_0_214]),c_0_215]) ).
cnf(c_0_262,negated_conjecture,
( hskp19
| hskp6
| hskp2
| epred23_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp17
| ~ c0_1(a2541)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_165]),c_0_166]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp17
| c0_1(a2541)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_165]),c_0_167]) ).
cnf(c_0_265,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp24
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp24
| epred24_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp6
| hskp24
| epred7_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp19
| epred24_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_220]),c_0_214]) ).
cnf(c_0_269,negated_conjecture,
( hskp24
| hskp19
| hskp6
| epred7_0 ),
inference(spm,[status(thm)],[c_0_224,c_0_217]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp17
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_165]),c_0_166]),c_0_167]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2536) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_272,negated_conjecture,
( ~ hskp14
| ~ c0_1(a2536) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2536) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
fof(c_0_274,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_275,negated_conjecture,
( ~ hskp21
| c1_1(a2551) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp21
| c0_1(a2551) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2551) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_278,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred36_0 ),
inference(split_equiv,[status(thm)],[c_0_226]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp1
| c2_1(a2517) ),
c_0_227 ).
cnf(c_0_280,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2517) ),
c_0_228 ).
cnf(c_0_281,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2517) ),
c_0_229 ).
cnf(c_0_282,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred56_0 ),
inference(split_equiv,[status(thm)],[c_0_230]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp18
| c2_1(a2545) ),
c_0_231 ).
cnf(c_0_284,negated_conjecture,
( ~ hskp18
| c1_1(a2545) ),
c_0_232 ).
cnf(c_0_285,negated_conjecture,
( ~ hskp18
| ~ c0_1(a2545) ),
c_0_233 ).
cnf(c_0_286,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2525) ),
c_0_234 ).
cnf(c_0_287,negated_conjecture,
( ~ hskp8
| c0_1(a2525) ),
c_0_235 ).
cnf(c_0_288,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred53_0 ),
inference(split_equiv,[status(thm)],[c_0_236]) ).
cnf(c_0_289,negated_conjecture,
( ~ c0_1(X1)
| hskp8
| c1_1(X1)
| c2_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_143])]) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp16
| ~ c1_1(a2540)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_160]),c_0_180]) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp16
| c1_1(a2540)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_186]),c_0_180]) ).
cnf(c_0_292,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_238 ).
cnf(c_0_293,negated_conjecture,
( ~ hskp23
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_186]),c_0_240]),c_0_241]) ).
cnf(c_0_294,negated_conjecture,
( hskp23
| epred2_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
fof(c_0_295,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_296,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp10
| c3_1(a2528) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_298,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2528) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_299,negated_conjecture,
( ~ c0_1(X1)
| hskp10
| c3_1(X1)
| c2_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_244]),c_0_143])]) ).
fof(c_0_300,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp8
| c2_1(a2525) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
fof(c_0_302,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_303,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause197]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp29
| epred50_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_248]) ).
cnf(c_0_305,negated_conjecture,
( hskp23
| hskp29
| epred27_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_243]) ).
cnf(c_0_306,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_250]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp20
| c2_1(a2549) ),
c_0_251 ).
cnf(c_0_308,negated_conjecture,
( ~ hskp20
| ~ c0_1(a2549) ),
c_0_252 ).
cnf(c_0_309,negated_conjecture,
( ~ hskp20
| ~ c1_1(a2549) ),
c_0_253 ).
cnf(c_0_310,negated_conjecture,
( hskp20
| hskp19
| c1_1(X1)
| c2_1(X1)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_311,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_312,negated_conjecture,
( ~ hskp17
| epred13_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_313,negated_conjecture,
( ~ hskp2
| hskp17
| epred28_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp6
| hskp2
| epred23_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_222,c_0_260]) ).
cnf(c_0_315,negated_conjecture,
( hskp6
| hskp2
| epred23_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_316,negated_conjecture,
( ~ hskp17
| epred14_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_317,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp24
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_265 ).
cnf(c_0_318,negated_conjecture,
( ~ hskp6
| epred7_0
| epred24_0
| epred28_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_319,negated_conjecture,
( hskp6
| epred7_0
| epred24_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_266]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp27
| epred8_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_204]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp14
| ~ c3_1(a2536) ),
c_0_271 ).
cnf(c_0_322,negated_conjecture,
( ~ hskp14
| ~ c0_1(a2536) ),
c_0_272 ).
cnf(c_0_323,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2536) ),
c_0_273 ).
cnf(c_0_324,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp14
| c2_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_274]),c_0_143])]) ).
cnf(c_0_325,negated_conjecture,
( ~ hskp21
| c1_1(a2551) ),
c_0_275 ).
cnf(c_0_326,negated_conjecture,
( ~ hskp21
| c0_1(a2551) ),
c_0_276 ).
cnf(c_0_327,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2551) ),
c_0_277 ).
cnf(c_0_328,negated_conjecture,
( ~ hskp1
| ~ c1_1(a2517)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp1
| c1_1(a2517)
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_280]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp18
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_283]),c_0_284]),c_0_285]) ).
cnf(c_0_331,negated_conjecture,
( hskp1
| hskp18
| hskp21 ),
clause36 ).
fof(c_0_332,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_333,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2518) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
fof(c_0_335,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2519) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2519) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
fof(c_0_338,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp8
| ~ c1_1(a2525)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_160]),c_0_287]) ).
cnf(c_0_340,negated_conjecture,
( ~ hskp8
| c1_1(a2525)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_186]),c_0_287]) ).
cnf(c_0_341,negated_conjecture,
( ~ hskp19
| ~ c2_1(a2548)
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_213]),c_0_214]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp19
| hskp8
| c2_1(a2548)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_214]),c_0_215]) ).
cnf(c_0_343,negated_conjecture,
( ~ hskp16
| epred24_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_344,negated_conjecture,
( ~ hskp6
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_160]),c_0_192]),c_0_190]) ).
cnf(c_0_345,negated_conjecture,
( ~ epred2_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_292,c_0_237]),c_0_140]) ).
cnf(c_0_346,negated_conjecture,
( epred2_0
| epred24_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
fof(c_0_347,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp24
| c2_1(a2555) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
fof(c_0_349,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp9 ) ),
introduced(definition) ).
fof(c_0_350,plain,
( ~ epred59_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_351,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred18_0 ),
inference(split_equiv,[status(thm)],[c_0_295]) ).
cnf(c_0_352,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_296]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp10
| c3_1(a2528) ),
c_0_297 ).
cnf(c_0_354,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2528) ),
c_0_298 ).
cnf(c_0_355,negated_conjecture,
( ~ hskp16
| hskp10
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_180]),c_0_181]),c_0_182]) ).
cnf(c_0_356,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_300]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp8
| c2_1(a2525) ),
c_0_301 ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp16
| c1_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_302]),c_0_143])]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp25
| c0_1(a2564) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp25
| ~ c1_1(a2564) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2564) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_362,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_363,negated_conjecture,
( ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X3)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_303 ).
cnf(c_0_364,negated_conjecture,
( hskp23
| epred27_0
| epred31_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
fof(c_0_365,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp21 ) ),
introduced(definition) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2533) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_367,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2533) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp20
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]),c_0_309]) ).
cnf(c_0_369,negated_conjecture,
( hskp20
| c1_1(X1)
| c2_1(X1)
| epred41_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_310]) ).
cnf(c_0_370,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp25
| hskp24
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp26
| c3_1(a2601) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp26
| c0_1(a2601) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp9
| c3_1(a2526) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2526) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_375,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp1
| hskp23
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_376,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp30
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_377,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp14
| hskp20
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_378,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| hskp18
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_379,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp9
| hskp30
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause155]) ).
cnf(c_0_380,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp25
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause151]) ).
cnf(c_0_381,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp22
| hskp5
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_382,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp31 ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_383,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp6 ),
inference(fof_simplification,[status(thm)],[clause160]) ).
fof(c_0_384,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
fof(c_0_385,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_386,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_387,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp11
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_311 ).
cnf(c_0_388,negated_conjecture,
( ~ hskp2
| epred13_0
| epred28_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_389,negated_conjecture,
( hskp2
| epred23_0
| epred28_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp2
| epred14_0
| epred28_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_316,c_0_313]) ).
cnf(c_0_391,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_317,c_0_157]),c_0_193]) ).
cnf(c_0_392,negated_conjecture,
( epred7_0
| epred24_0
| epred28_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_393,negated_conjecture,
( hskp23
| epred8_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_320,c_0_243]) ).
fof(c_0_394,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp5
| c3_1(a2522) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2522) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
fof(c_0_397,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp5
| c2_1(a2522) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
fof(c_0_399,plain,
( ~ epred37_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_400,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp14
| epred56_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_282]),c_0_322]),c_0_323]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp21
| hskp14
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]),c_0_327]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp1
| epred36_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_404,negated_conjecture,
( hskp21
| hskp1
| epred36_0 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_405,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(split_equiv,[status(thm)],[c_0_332]) ).
cnf(c_0_406,negated_conjecture,
( hskp2
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred21_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_143])]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2518) ),
c_0_334 ).
cnf(c_0_408,negated_conjecture,
( ~ c1_1(X1)
| hskp1
| c3_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_335]),c_0_143])]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2519) ),
c_0_336 ).
cnf(c_0_410,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2519) ),
c_0_337 ).
cnf(c_0_411,negated_conjecture,
( ~ c1_1(X1)
| hskp7
| c3_1(X1)
| c2_1(X1)
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_338]),c_0_143])]) ).
cnf(c_0_412,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause203]) ).
cnf(c_0_413,negated_conjecture,
( ~ hskp8
| epred24_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp19
| hskp8
| epred3_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_415,negated_conjecture,
( hskp19
| epred24_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_217]),c_0_344]) ).
cnf(c_0_416,negated_conjecture,
( ~ epred3_0
| epred24_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_345,c_0_346]) ).
fof(c_0_417,plain,
( ~ epred44_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp7
| c3_1(a2524) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp7
| c1_1(a2524) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_420,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred22_0 ),
inference(split_equiv,[status(thm)],[c_0_347]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp24
| c2_1(a2555) ),
c_0_348 ).
fof(c_0_422,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_423,negated_conjecture,
( ~ hskp9
| c1_1(a2526) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_424,negated_conjecture,
( ~ c1_1(X1)
| hskp9
| c3_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_349]),c_0_143])]) ).
cnf(c_0_425,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred59_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_350]),c_0_143])]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp16
| c1_1(a2540)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_351]),c_0_180]) ).
fof(c_0_427,plain,
( ~ epred63_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ ndr1_0
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_428,plain,
( ~ epred57_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp10
| ~ c2_1(a2528)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_354]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp10
| c2_1(a2528)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_353]),c_0_354]) ).
cnf(c_0_431,negated_conjecture,
( hskp19
| hskp10
| hskp6
| epred43_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_217]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp8
| ~ c1_1(a2525)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_287]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp8
| hskp16
| c1_1(a2525)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_357]),c_0_287]) ).
cnf(c_0_434,negated_conjecture,
( ~ hskp25
| c0_1(a2564) ),
c_0_359 ).
cnf(c_0_435,negated_conjecture,
( ~ hskp25
| ~ c1_1(a2564) ),
c_0_360 ).
cnf(c_0_436,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2564) ),
c_0_361 ).
cnf(c_0_437,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_362 ).
cnf(c_0_438,negated_conjecture,
( ~ epred24_0
| ~ epred36_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_205]),c_0_153]),c_0_226]) ).
cnf(c_0_439,negated_conjecture,
( epred24_0
| epred27_0
| epred31_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_364]) ).
cnf(c_0_440,negated_conjecture,
( ~ c0_1(X1)
| hskp21
| c3_1(X1)
| c2_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_365]),c_0_143])]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2516) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_442,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2533) ),
c_0_366 ).
cnf(c_0_443,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2533) ),
c_0_367 ).
cnf(c_0_444,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| epred5_0
| epred41_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_445,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp25
| hskp24
| c2_1(X1) ),
c_0_370 ).
cnf(c_0_446,negated_conjecture,
( ~ hskp26
| c3_1(a2601) ),
c_0_371 ).
cnf(c_0_447,negated_conjecture,
( ~ hskp26
| c0_1(a2601) ),
c_0_372 ).
cnf(c_0_448,negated_conjecture,
( ~ hskp9
| c3_1(a2526) ),
c_0_373 ).
cnf(c_0_449,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2526) ),
c_0_374 ).
cnf(c_0_450,negated_conjecture,
( ~ hskp12
| ~ c2_1(a2533) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_451,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp1
| hskp23
| c2_1(X1)
| c1_1(X1) ),
c_0_375 ).
cnf(c_0_452,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp22
| hskp30
| c3_1(X1)
| c1_1(X1) ),
c_0_376 ).
cnf(c_0_453,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp14
| hskp20
| c3_1(X1)
| c1_1(X1) ),
c_0_377 ).
cnf(c_0_454,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp0
| hskp18
| c1_1(X1) ),
c_0_378 ).
cnf(c_0_455,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp9
| hskp30
| c2_1(X1) ),
c_0_379 ).
cnf(c_0_456,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp25
| c1_1(X1) ),
c_0_380 ).
cnf(c_0_457,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp22
| hskp5
| c1_1(X1) ),
c_0_381 ).
cnf(c_0_458,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp23
| hskp31 ),
c_0_382 ).
cnf(c_0_459,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp6 ),
c_0_383 ).
fof(c_0_460,plain,
( ~ epred64_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_461,plain,
( ~ epred62_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp22
| ~ c3_1(a2552) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
fof(c_0_463,plain,
( ~ epred54_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| hskp3 ) ),
introduced(definition) ).
fof(c_0_464,plain,
( ~ epred52_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp6 ) ),
introduced(definition) ).
fof(c_0_465,plain,
( ~ epred55_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_466,plain,
( ~ epred49_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp18 ) ),
introduced(definition) ).
cnf(c_0_467,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2516) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
cnf(c_0_468,negated_conjecture,
( ~ c3_1(X1)
| hskp5
| c0_1(X1)
| c1_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_384]),c_0_143])]) ).
cnf(c_0_469,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_143])]) ).
cnf(c_0_470,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_386 ).
cnf(c_0_471,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_387,c_0_173]),c_0_183]) ).
cnf(c_0_472,negated_conjecture,
( epred13_0
| epred23_0
| epred28_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_473,negated_conjecture,
( epred14_0
| epred23_0
| epred28_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_390,c_0_389]) ).
cnf(c_0_474,negated_conjecture,
( ~ epred8_0
| epred24_0
| epred28_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_475,negated_conjecture,
( epred8_0
| epred24_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_393]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp29
| ~ c0_1(a2556)
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_246]),c_0_248]) ).
cnf(c_0_477,negated_conjecture,
( ~ hskp29
| c0_1(a2556)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_248]),c_0_247]) ).
cnf(c_0_478,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_394]) ).
cnf(c_0_479,negated_conjecture,
( ~ hskp5
| c3_1(a2522) ),
c_0_395 ).
cnf(c_0_480,negated_conjecture,
( ~ hskp5
| ~ c0_1(a2522) ),
c_0_396 ).
cnf(c_0_481,negated_conjecture,
( ~ c2_1(X1)
| hskp3
| c0_1(X1)
| c1_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_397]),c_0_143])]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp5
| c2_1(a2522) ),
c_0_398 ).
cnf(c_0_483,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp12
| c3_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_143])]) ).
cnf(c_0_484,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_400 ).
cnf(c_0_485,negated_conjecture,
( ~ hskp21
| epred33_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_486,negated_conjecture,
( hskp21
| epred36_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp1
| ~ c1_1(a2517)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_405]),c_0_280]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp1
| hskp2
| c1_1(a2517)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_406]),c_0_280]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp2
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_405]),c_0_212]),c_0_407]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp27
| hskp1
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_161]),c_0_159]),c_0_163]) ).
cnf(c_0_491,negated_conjecture,
( hskp3
| hskp27
| hskp2 ),
clause40 ).
cnf(c_0_492,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2519)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_405]),c_0_410]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp3
| hskp2
| c1_1(a2519)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_406]),c_0_410]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp27
| hskp7
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_161]),c_0_159]),c_0_163]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp11
| ~ c0_1(a2531)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_209]),c_0_208]) ).
cnf(c_0_496,negated_conjecture,
( ~ hskp11
| c0_1(a2531)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_209]),c_0_208]) ).
cnf(c_0_497,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2) ),
c_0_412 ).
cnf(c_0_498,negated_conjecture,
( epred24_0
| epred30_0
| epred53_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_414]),c_0_415]),c_0_416]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp30
| c2_1(a2558) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp30
| c0_1(a2558) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp30
| c1_1(a2558) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp31
| c3_1(a2597) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp31
| c0_1(a2597) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp31
| c1_1(a2597) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_505,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_417]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp7
| c3_1(a2524) ),
c_0_418 ).
cnf(c_0_507,negated_conjecture,
( ~ hskp7
| c1_1(a2524) ),
c_0_419 ).
cnf(c_0_508,negated_conjecture,
( ~ hskp24
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_221]),c_0_219]) ).
cnf(c_0_509,negated_conjecture,
( hskp24
| hskp6
| epred7_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_269]) ).
cnf(c_0_510,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_422]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp9
| c1_1(a2526) ),
c_0_423 ).
cnf(c_0_512,negated_conjecture,
( ~ hskp27
| hskp9
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_161]),c_0_159]),c_0_163]) ).
cnf(c_0_513,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| epred18_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_351]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp16
| epred18_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_426]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp8
| c1_1(a2525)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_357]),c_0_287]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp8
| ~ c1_1(a2525)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_189]),c_0_357]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp3
| ~ c2_1(a2519) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_518,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred63_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_427]),c_0_143])]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2516) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_520,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred57_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_428]),c_0_143])]) ).
cnf(c_0_521,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c0_1(X3) ),
inference(fof_simplification,[status(thm)],[clause204]) ).
cnf(c_0_522,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_523,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause201]) ).
cnf(c_0_524,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause198]) ).
cnf(c_0_525,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause196]) ).
cnf(c_0_526,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_527,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3 ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_528,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_529,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_530,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_531,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_532,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_533,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_534,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_535,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp17
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_536,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_537,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_538,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_539,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_540,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp1
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_541,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp10
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_429,c_0_430]) ).
cnf(c_0_543,negated_conjecture,
( hskp10
| hskp6
| epred41_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_431]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp8
| hskp16
| epred42_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_432,c_0_433]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp25
| hskp8
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_434]),c_0_435]),c_0_436]) ).
cnf(c_0_546,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_437,c_0_142]),c_0_155]) ).
cnf(c_0_547,negated_conjecture,
( ~ epred36_0
| ~ epred58_0
| epred27_0
| epred31_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp6
| hskp17
| c2_1(a2523)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_190]),c_0_188]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp25
| hskp21
| c3_1(a2564)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_434]),c_0_436]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2516) ),
c_0_441 ).
cnf(c_0_551,negated_conjecture,
( hskp29
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_164,c_0_162]) ).
cnf(c_0_552,negated_conjecture,
( ~ hskp23
| hskp2
| c2_1(a2553)
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_240]),c_0_239]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp12
| hskp2
| c0_1(a2533)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_406]),c_0_443]) ).
cnf(c_0_554,negated_conjecture,
( hskp11
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred2_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_210,c_0_162]) ).
cnf(c_0_555,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred8_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_282]) ).
cnf(c_0_556,negated_conjecture,
( ~ hskp3
| c1_1(a2519)
| epred56_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_282]),c_0_410]) ).
cnf(c_0_557,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| epred5_0
| epred41_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_444]) ).
cnf(c_0_558,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp24
| hskp25
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_445,c_0_143])]) ).
cnf(c_0_559,negated_conjecture,
( ~ hskp26
| c1_1(a2601)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_446]),c_0_447]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp25
| hskp24
| c3_1(a2564)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_434]),c_0_436]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp23
| hskp24
| c2_1(a2553)
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_240]),c_0_239]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp9
| c2_1(a2526)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_448]),c_0_449]) ).
cnf(c_0_563,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_162]) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp2
| c2_1(a2518)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_162]),c_0_407]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp14
| c2_1(a2536)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_162]),c_0_322]) ).
cnf(c_0_566,negated_conjecture,
( ~ hskp2
| hskp9
| c2_1(a2518)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_212]),c_0_211]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp12
| ~ c2_1(a2533) ),
c_0_450 ).
cnf(c_0_568,negated_conjecture,
( hskp20
| hskp19
| c1_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_255]) ).
cnf(c_0_569,negated_conjecture,
( ~ c0_1(X1)
| hskp23
| hskp1
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_451,c_0_143])]) ).
cnf(c_0_570,negated_conjecture,
( ~ c0_1(X1)
| hskp30
| hskp22
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_143])]) ).
cnf(c_0_571,negated_conjecture,
( ~ c0_1(X1)
| hskp20
| hskp14
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_143])]) ).
cnf(c_0_572,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp0
| hskp18
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_454,c_0_143])]) ).
cnf(c_0_573,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp30
| hskp9
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_143])]) ).
cnf(c_0_574,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp25
| hskp3
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_456,c_0_143])]) ).
cnf(c_0_575,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp22
| hskp5
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_143])]) ).
cnf(c_0_576,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp23
| hskp31 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_143])]) ).
cnf(c_0_577,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp20
| hskp6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_143])]) ).
cnf(c_0_578,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred64_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_460]),c_0_143])]) ).
cnf(c_0_579,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred62_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_461]),c_0_143])]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp22
| ~ c3_1(a2552) ),
c_0_462 ).
cnf(c_0_581,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp3
| epred54_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_463]),c_0_143])]) ).
cnf(c_0_582,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp6
| c2_1(X1)
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_464]),c_0_143])]) ).
cnf(c_0_583,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_465]),c_0_143])]) ).
cnf(c_0_584,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp18
| c2_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_466]),c_0_143])]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2516) ),
c_0_467 ).
cnf(c_0_586,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| epred45_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_282]) ).
cnf(c_0_587,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| epred5_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_469]) ).
cnf(c_0_588,negated_conjecture,
( ~ epred23_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_148]),c_0_153]) ).
cnf(c_0_589,negated_conjecture,
( epred23_0
| epred28_0
| epred31_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_472]),c_0_473]) ).
cnf(c_0_590,negated_conjecture,
( epred24_0
| epred28_0
| epred31_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_474,c_0_475]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp29
| epred36_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp27
| epred13_0
| epred28_0
| epred31_0 ),
inference(spm,[status(thm)],[c_0_312,c_0_204]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2522)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_479]),c_0_480]) ).
cnf(c_0_594,negated_conjecture,
( ~ hskp5
| hskp3
| c1_1(a2522)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_482]),c_0_480]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp8
| hskp12
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_357]),c_0_287]),c_0_286]) ).
cnf(c_0_596,negated_conjecture,
( ~ hskp14
| hskp2
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_406]),c_0_322]),c_0_323]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred33_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_484,c_0_274]),c_0_422]) ).
cnf(c_0_598,negated_conjecture,
( epred33_0
| epred36_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_599,negated_conjecture,
( ~ hskp1
| epred21_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_489]) ).
cnf(c_0_600,negated_conjecture,
( hskp3
| hskp2
| hskp1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_490,c_0_491]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp3
| epred21_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_489]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp1
| ~ c1_1(a2517)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_189]),c_0_279]) ).
cnf(c_0_603,negated_conjecture,
( hskp23
| hskp7
| epred17_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_243]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp11
| epred36_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_495,c_0_496]) ).
cnf(c_0_605,negated_conjecture,
( ~ epred30_0
| ~ epred50_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_497,c_0_205]),c_0_138]),c_0_199]) ).
cnf(c_0_606,negated_conjecture,
( ~ epred36_0
| ~ epred58_0
| epred30_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_438,c_0_498]) ).
cnf(c_0_607,negated_conjecture,
( ~ hskp30
| c2_1(a2558) ),
c_0_499 ).
cnf(c_0_608,negated_conjecture,
( ~ hskp30
| c0_1(a2558) ),
c_0_500 ).
cnf(c_0_609,negated_conjecture,
( ~ hskp30
| c1_1(a2558) ),
c_0_501 ).
cnf(c_0_610,negated_conjecture,
( ~ hskp29
| ~ c0_1(a2556)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_248]),c_0_247]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp31
| c3_1(a2597) ),
c_0_502 ).
cnf(c_0_612,negated_conjecture,
( ~ hskp31
| c0_1(a2597) ),
c_0_503 ).
cnf(c_0_613,negated_conjecture,
( ~ hskp31
| c1_1(a2597) ),
c_0_504 ).
cnf(c_0_614,negated_conjecture,
( ~ hskp29
| ~ c0_1(a2556)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_246]),c_0_247]) ).
cnf(c_0_615,negated_conjecture,
( ~ hskp26
| ~ c1_1(a2601)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_446]),c_0_447]) ).
cnf(c_0_616,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2524)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_506]),c_0_507]) ).
cnf(c_0_617,negated_conjecture,
( ~ hskp7
| c0_1(a2524)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_506]),c_0_507]) ).
cnf(c_0_618,negated_conjecture,
( ~ hskp6
| epred7_0
| epred22_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_508,c_0_267]) ).
cnf(c_0_619,negated_conjecture,
( hskp6
| epred7_0
| epred22_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2518)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_510]),c_0_407]) ).
cnf(c_0_621,negated_conjecture,
( ~ hskp2
| hskp1
| c2_1(a2518)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_212]),c_0_211]) ).
cnf(c_0_622,negated_conjecture,
( ~ hskp1
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_510]),c_0_279]),c_0_280]) ).
cnf(c_0_623,negated_conjecture,
( ~ hskp9
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_448]),c_0_511]),c_0_449]) ).
cnf(c_0_624,negated_conjecture,
( hskp23
| hskp9
| epred1_0 ),
inference(spm,[status(thm)],[c_0_512,c_0_243]) ).
cnf(c_0_625,negated_conjecture,
( ~ hskp5
| c1_1(a2522)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_482]),c_0_480]) ).
cnf(c_0_626,negated_conjecture,
( ~ hskp19
| epred18_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_513]),c_0_214]) ).
cnf(c_0_627,negated_conjecture,
( hskp19
| epred18_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_217]),c_0_344]) ).
cnf(c_0_628,negated_conjecture,
( ~ hskp8
| epred22_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_515]) ).
cnf(c_0_629,negated_conjecture,
( ~ hskp8
| epred22_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_515]) ).
cnf(c_0_630,negated_conjecture,
( hskp20
| hskp2
| hskp21 ),
clause37 ).
cnf(c_0_631,negated_conjecture,
( ~ hskp3
| ~ c2_1(a2519) ),
c_0_517 ).
cnf(c_0_632,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| epred2_0
| epred63_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_162]) ).
cnf(c_0_633,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2516) ),
c_0_519 ).
cnf(c_0_634,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| epred10_0
| epred57_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_520]) ).
cnf(c_0_635,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| epred2_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_162]) ).
cnf(c_0_636,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| c0_1(X3) ),
c_0_521 ).
cnf(c_0_637,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c0_1(X3)
| c1_1(X2) ),
c_0_522 ).
cnf(c_0_638,negated_conjecture,
( ~ c0_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c2_1(X1) ),
c_0_523 ).
cnf(c_0_639,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
c_0_524 ).
cnf(c_0_640,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_525 ).
cnf(c_0_641,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2) ),
c_0_526 ).
cnf(c_0_642,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3 ),
c_0_527 ).
cnf(c_0_643,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c2_1(X2) ),
c_0_528 ).
cnf(c_0_644,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp18
| c2_1(X2) ),
c_0_529 ).
cnf(c_0_645,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
c_0_530 ).
cnf(c_0_646,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c3_1(X2)
| c2_1(X2) ),
c_0_531 ).
cnf(c_0_647,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| c0_1(X2)
| c1_1(X1) ),
c_0_532 ).
cnf(c_0_648,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_533 ).
cnf(c_0_649,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_534 ).
cnf(c_0_650,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp17
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_535 ).
cnf(c_0_651,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_536 ).
cnf(c_0_652,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_537 ).
cnf(c_0_653,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_538 ).
cnf(c_0_654,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_539 ).
cnf(c_0_655,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp1
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_540 ).
cnf(c_0_656,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp9
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_541 ).
cnf(c_0_657,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2524) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_658,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2552) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_659,negated_conjecture,
( ~ hskp26
| ~ c2_1(a2601) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_660,negated_conjecture,
( ~ hskp22
| c2_1(a2552) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_661,negated_conjecture,
( hskp6
| epred41_0
| epred43_0
| epred8_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_542,c_0_543]) ).
cnf(c_0_662,negated_conjecture,
( ~ hskp25
| epred3_0
| hskp16
| epred42_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_544,c_0_545]) ).
cnf(c_0_663,negated_conjecture,
( ~ epred36_0
| ~ epred58_0
| ~ epred28_0
| epred31_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_664,negated_conjecture,
( ~ hskp6
| ~ c0_1(a2523)
| ~ c1_1(a2523)
| hskp17
| epred31_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_548]) ).
cnf(c_0_665,negated_conjecture,
( ~ hskp2
| ~ c1_1(a2518)
| hskp17
| epred31_0
| c0_1(a2518)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_259]) ).
cnf(c_0_666,negated_conjecture,
( ~ hskp25
| ~ c0_1(a2564)
| hskp21
| epred29_0
| c1_1(a2564)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_549]) ).
cnf(c_0_667,negated_conjecture,
( ~ hskp0
| hskp29
| c0_1(a2516)
| c1_1(a2516)
| epred2_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_668,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2553)
| hskp2
| epred23_0
| hskp16
| c1_1(a2553)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_552]) ).
cnf(c_0_669,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2553)
| hskp2
| epred23_0
| hskp12
| c3_1(a2553)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_552]) ).
cnf(c_0_670,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2553)
| hskp2
| epred23_0
| c1_1(a2553)
| epred22_0 ),
inference(spm,[status(thm)],[c_0_420,c_0_552]) ).
cnf(c_0_671,negated_conjecture,
( ~ hskp12
| epred21_0
| hskp2
| c3_1(a2533)
| c2_1(a2533)
| epred23_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_553]) ).
cnf(c_0_672,negated_conjecture,
( ~ hskp3
| hskp2
| epred21_0
| hskp9
| c3_1(a2519)
| c2_1(a2519)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_424,c_0_493]) ).
cnf(c_0_673,negated_conjecture,
( ~ hskp0
| hskp11
| c0_1(a2516)
| c1_1(a2516)
| epred2_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_554]) ).
cnf(c_0_674,negated_conjecture,
( ~ hskp0
| c0_1(a2516)
| c1_1(a2516)
| epred8_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_555]) ).
cnf(c_0_675,negated_conjecture,
( ~ hskp3
| epred56_0
| hskp9
| c3_1(a2519)
| c2_1(a2519)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_424,c_0_556]) ).
cnf(c_0_676,negated_conjecture,
( ~ hskp14
| c0_1(a2536)
| epred5_0
| epred41_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_557]) ).
cnf(c_0_677,negated_conjecture,
( ~ hskp0
| c1_1(a2516)
| epred5_0
| epred41_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_444]) ).
cnf(c_0_678,negated_conjecture,
( ~ hskp26
| ~ c0_1(a2601)
| epred41_0
| hskp24
| hskp25
| c2_1(a2601) ),
inference(spm,[status(thm)],[c_0_558,c_0_559]) ).
cnf(c_0_679,negated_conjecture,
( ~ hskp25
| hskp24
| epred7_0
| c1_1(a2564)
| c2_1(a2564)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_560]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp25
| ~ c0_1(a2564)
| hskp24
| epred7_0
| c1_1(a2564)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_560]) ).
cnf(c_0_681,negated_conjecture,
( ~ hskp23
| ~ c0_1(a2553)
| hskp24
| epred7_0
| hskp16
| c1_1(a2553)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_561]) ).
cnf(c_0_682,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2526)
| epred14_0
| c0_1(a2526)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_562]) ).
cnf(c_0_683,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2548)
| hskp8
| epred3_0
| hskp16
| c1_1(a2548)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_358,c_0_342]) ).
cnf(c_0_684,negated_conjecture,
( ~ hskp0
| c0_1(a2516)
| c1_1(a2516)
| epred2_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_563]) ).
cnf(c_0_685,negated_conjecture,
( ~ hskp27
| epred2_0
| hskp21
| c3_1(a2614)
| c2_1(a2614)
| epred29_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_198]) ).
cnf(c_0_686,negated_conjecture,
( ~ hskp27
| epred2_0
| hskp2
| c3_1(a2614)
| c2_1(a2614)
| epred23_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_198]) ).
cnf(c_0_687,negated_conjecture,
( ~ hskp27
| epred2_0
| hskp24
| c3_1(a2614)
| c2_1(a2614)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_198]) ).
cnf(c_0_688,negated_conjecture,
( ~ hskp2
| ~ c1_1(a2518)
| epred2_0
| c0_1(a2518)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_564]) ).
cnf(c_0_689,negated_conjecture,
( ~ hskp14
| epred2_0
| c0_1(a2536)
| c1_1(a2536)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_565]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp14
| epred2_0
| hskp3
| c0_1(a2536)
| c1_1(a2536)
| epred39_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_565]) ).
cnf(c_0_691,negated_conjecture,
( ~ hskp2
| ~ c1_1(a2518)
| hskp9
| epred1_0
| c0_1(a2518)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_566]) ).
cnf(c_0_692,negated_conjecture,
( ~ hskp0
| hskp20
| hskp19
| c1_1(a2516)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_550,c_0_310]) ).
cnf(c_0_693,negated_conjecture,
( ~ hskp12
| hskp20
| hskp19
| c1_1(a2533)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_567,c_0_568]) ).
cnf(c_0_694,negated_conjecture,
( ~ hskp25
| hskp23
| hskp1
| c1_1(a2564)
| c2_1(a2564) ),
inference(spm,[status(thm)],[c_0_569,c_0_434]) ).
cnf(c_0_695,negated_conjecture,
( ~ hskp23
| hskp30
| hskp22
| c1_1(a2553)
| c3_1(a2553) ),
inference(spm,[status(thm)],[c_0_570,c_0_240]) ).
cnf(c_0_696,negated_conjecture,
( ~ hskp23
| hskp20
| hskp14
| c1_1(a2553)
| c3_1(a2553) ),
inference(spm,[status(thm)],[c_0_571,c_0_240]) ).
cnf(c_0_697,negated_conjecture,
( ~ hskp27
| ~ c0_1(a2614)
| hskp24
| hskp25
| c2_1(a2614) ),
inference(spm,[status(thm)],[c_0_558,c_0_161]) ).
cnf(c_0_698,negated_conjecture,
( ~ hskp21
| ~ c0_1(a2551)
| hskp24
| hskp25
| c2_1(a2551) ),
inference(spm,[status(thm)],[c_0_558,c_0_325]) ).
cnf(c_0_699,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2555)
| hskp0
| hskp18
| c1_1(a2555) ),
inference(spm,[status(thm)],[c_0_572,c_0_421]) ).
cnf(c_0_700,negated_conjecture,
( ~ hskp21
| ~ c0_1(a2551)
| hskp30
| hskp9
| c2_1(a2551) ),
inference(spm,[status(thm)],[c_0_573,c_0_325]) ).
cnf(c_0_701,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2555)
| hskp25
| hskp3
| c1_1(a2555) ),
inference(spm,[status(thm)],[c_0_574,c_0_421]) ).
cnf(c_0_702,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2548)
| hskp22
| hskp5
| c1_1(a2548) ),
inference(spm,[status(thm)],[c_0_575,c_0_213]) ).
cnf(c_0_703,negated_conjecture,
( ~ hskp29
| ~ c1_1(a2556)
| ~ c2_1(a2556)
| hskp23
| hskp31 ),
inference(spm,[status(thm)],[c_0_576,c_0_246]) ).
cnf(c_0_704,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2548)
| ~ c2_1(a2548)
| hskp20
| hskp6 ),
inference(spm,[status(thm)],[c_0_577,c_0_213]) ).
cnf(c_0_705,negated_conjecture,
( ~ hskp9
| ~ c2_1(a2526)
| c0_1(a2526)
| epred64_0 ),
inference(spm,[status(thm)],[c_0_578,c_0_448]) ).
cnf(c_0_706,negated_conjecture,
( ~ hskp26
| ~ c0_1(a2601)
| c2_1(a2601)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_446]) ).
cnf(c_0_707,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2555)
| c1_1(a2555)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_421]) ).
cnf(c_0_708,negated_conjecture,
( ~ hskp8
| ~ c0_1(a2525)
| c1_1(a2525)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_425,c_0_357]) ).
cnf(c_0_709,negated_conjecture,
( ~ hskp19
| c1_1(a2548)
| c2_1(a2548)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_213]) ).
cnf(c_0_710,negated_conjecture,
( ~ hskp17
| c1_1(a2541)
| c2_1(a2541)
| epred58_0 ),
inference(spm,[status(thm)],[c_0_254,c_0_165]) ).
cnf(c_0_711,negated_conjecture,
( ~ c2_1(a2552)
| ~ hskp22
| c1_1(a2552)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_580,c_0_520]) ).
cnf(c_0_712,negated_conjecture,
( ~ c2_1(a2525)
| ~ hskp8
| c1_1(a2525)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_286,c_0_520]) ).
cnf(c_0_713,negated_conjecture,
( ~ c2_1(a2517)
| ~ hskp1
| c1_1(a2517)
| epred57_0 ),
inference(spm,[status(thm)],[c_0_281,c_0_520]) ).
cnf(c_0_714,negated_conjecture,
( ~ hskp11
| ~ c0_1(a2531)
| ~ c1_1(a2531)
| hskp3
| epred54_0 ),
inference(spm,[status(thm)],[c_0_581,c_0_209]) ).
cnf(c_0_715,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2526)
| hskp6
| c2_1(a2526)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_448]) ).
cnf(c_0_716,negated_conjecture,
( ~ hskp7
| ~ c1_1(a2524)
| hskp6
| c2_1(a2524)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_506]) ).
cnf(c_0_717,negated_conjecture,
( ~ c1_1(a2614)
| ~ hskp27
| c0_1(a2614)
| epred55_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_583]) ).
cnf(c_0_718,negated_conjecture,
( ~ c1_1(a2518)
| ~ hskp2
| c0_1(a2518)
| epred55_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_583]) ).
cnf(c_0_719,negated_conjecture,
( ~ c1_1(a2519)
| ~ hskp3
| c0_1(a2519)
| epred55_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_583]) ).
cnf(c_0_720,negated_conjecture,
( ~ hskp7
| ~ c1_1(a2524)
| hskp18
| c2_1(a2524)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_584,c_0_506]) ).
cnf(c_0_721,negated_conjecture,
( ~ hskp0
| hskp5
| c0_1(a2516)
| epred45_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_585,c_0_586]) ).
cnf(c_0_722,negated_conjecture,
( ~ hskp14
| hskp0
| c0_1(a2536)
| epred5_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_587]) ).
cnf(c_0_723,negated_conjecture,
( epred28_0
| epred31_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_589]),c_0_590]) ).
cnf(c_0_724,negated_conjecture,
( ~ hskp8
| hskp16
| epred28_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_433]) ).
cnf(c_0_725,negated_conjecture,
( hskp23
| epred27_0
| epred31_0
| epred36_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_591,c_0_305]) ).
cnf(c_0_726,negated_conjecture,
( hskp3
| epred13_0
| epred28_0
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_491]),c_0_388]) ).
cnf(c_0_727,negated_conjecture,
( ~ hskp20
| hskp3
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_307]),c_0_308]),c_0_309]) ).
cnf(c_0_728,negated_conjecture,
( ~ hskp5
| hskp3
| epred32_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_593,c_0_594]) ).
cnf(c_0_729,negated_conjecture,
( ~ hskp25
| hskp12
| epred3_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_595,c_0_545]) ).
cnf(c_0_730,negated_conjecture,
( ~ hskp21
| hskp2
| epred21_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_596,c_0_402]) ).
cnf(c_0_731,negated_conjecture,
( ~ epred34_0
| epred36_0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_597,c_0_598]) ).
cnf(c_0_732,negated_conjecture,
( epred6_0
| epred21_0
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_601]),c_0_489]) ).
cnf(c_0_733,negated_conjecture,
( ~ hskp1
| hskp2
| epred21_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_328,c_0_488]) ).
cnf(c_0_734,negated_conjecture,
( ~ hskp1
| hskp2
| epred21_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_602,c_0_488]) ).
cnf(c_0_735,negated_conjecture,
( hskp7
| epred17_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_603]) ).
cnf(c_0_736,negated_conjecture,
( ~ hskp17
| epred13_0
| epred36_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_604,c_0_257]) ).
cnf(c_0_737,negated_conjecture,
( ~ epred36_0
| ~ epred50_0
| ~ epred58_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_605,c_0_606]) ).
cnf(c_0_738,negated_conjecture,
( ~ hskp30
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_607]),c_0_608]),c_0_609]) ).
cnf(c_0_739,negated_conjecture,
( ~ hskp29
| epred36_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_610,c_0_477]) ).
cnf(c_0_740,negated_conjecture,
( ~ hskp31
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_611]),c_0_612]),c_0_613]) ).
cnf(c_0_741,negated_conjecture,
( ~ hskp29
| epred36_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_614,c_0_477]) ).
cnf(c_0_742,negated_conjecture,
( ~ hskp26
| epred41_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_615,c_0_559]) ).
cnf(c_0_743,negated_conjecture,
( ~ hskp7
| epred32_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_744,negated_conjecture,
( epred7_0
| epred22_0
| epred28_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_619]) ).
cnf(c_0_745,negated_conjecture,
( ~ hskp2
| epred6_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_622]) ).
cnf(c_0_746,negated_conjecture,
( ~ hskp2
| epred2_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_620,c_0_564]) ).
cnf(c_0_747,negated_conjecture,
( hskp23
| epred1_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_623,c_0_624]) ).
cnf(c_0_748,negated_conjecture,
( ~ hskp5
| epred5_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_593,c_0_625]) ).
cnf(c_0_749,negated_conjecture,
( epred18_0
| epred30_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_626,c_0_627]) ).
cnf(c_0_750,negated_conjecture,
( ~ hskp25
| epred3_0
| epred22_0
| epred30_0 ),
inference(spm,[status(thm)],[c_0_628,c_0_545]) ).
cnf(c_0_751,negated_conjecture,
( ~ hskp25
| epred3_0
| epred22_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_629,c_0_545]) ).
cnf(c_0_752,negated_conjecture,
( hskp0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_508,c_0_135]) ).
cnf(c_0_753,negated_conjecture,
( ~ hskp25
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_351]),c_0_434]),c_0_435]) ).
cnf(c_0_754,negated_conjecture,
( hskp21
| hskp2
| epred5_0 ),
inference(spm,[status(thm)],[c_0_368,c_0_630]) ).
cnf(c_0_755,negated_conjecture,
( ~ hskp3
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_162]),c_0_410]),c_0_631]) ).
cnf(c_0_756,negated_conjecture,
( ~ hskp0
| epred2_0
| epred63_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_632]),c_0_633]) ).
cnf(c_0_757,negated_conjecture,
( ~ hskp24
| epred10_0
| epred57_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_421]),c_0_219]) ).
cnf(c_0_758,negated_conjecture,
( ~ hskp0
| epred2_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_635]),c_0_633]) ).
cnf(c_0_759,negated_conjecture,
( ~ epred44_0
| ~ epred53_0
| ~ epred64_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_636,c_0_460]),c_0_236]),c_0_417]) ).
cnf(c_0_760,negated_conjecture,
( ~ epred22_0
| ~ epred44_0
| ~ epred63_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_637,c_0_427]),c_0_347]),c_0_417]) ).
cnf(c_0_761,negated_conjecture,
( ~ epred10_0
| ~ epred18_0
| ~ epred62_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_638,c_0_461]),c_0_295]),c_0_296]) ).
cnf(c_0_762,negated_conjecture,
( ~ epred5_0
| ~ epred36_0
| ~ epred59_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_639,c_0_350]),c_0_250]),c_0_226]) ).
cnf(c_0_763,negated_conjecture,
( ~ epred34_0
| ~ epred41_0
| ~ epred57_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_640,c_0_428]),c_0_422]),c_0_152]) ).
cnf(c_0_764,negated_conjecture,
( ~ epred46_0
| ~ epred55_0
| ~ epred56_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_641,c_0_465]),c_0_230]),c_0_300]) ).
cnf(c_0_765,negated_conjecture,
( ~ epred53_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_642,c_0_463]),c_0_236]) ).
cnf(c_0_766,negated_conjecture,
( ~ epred52_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_464]),c_0_236]) ).
cnf(c_0_767,negated_conjecture,
( ~ epred49_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_644,c_0_466]),c_0_199]) ).
cnf(c_0_768,negated_conjecture,
( ~ epred45_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_384]),c_0_300]) ).
cnf(c_0_769,negated_conjecture,
( ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_646,c_0_244]),c_0_417]) ).
cnf(c_0_770,negated_conjecture,
( ~ epred32_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_647,c_0_302]),c_0_394]) ).
cnf(c_0_771,negated_conjecture,
( ~ epred36_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_648,c_0_397]),c_0_226]) ).
cnf(c_0_772,negated_conjecture,
( ~ epred37_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_649,c_0_399]),c_0_332]) ).
cnf(c_0_773,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_650,c_0_147]),c_0_394]) ).
cnf(c_0_774,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_651,c_0_365]),c_0_138]) ).
cnf(c_0_775,negated_conjecture,
( ~ epred21_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_652,c_0_333]),c_0_347]) ).
cnf(c_0_776,negated_conjecture,
( ~ epred17_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_653,c_0_338]),c_0_295]) ).
cnf(c_0_777,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_654,c_0_385]),c_0_296]) ).
cnf(c_0_778,negated_conjecture,
( ~ epred2_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_655,c_0_335]),c_0_140]) ).
cnf(c_0_779,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_656,c_0_349]),c_0_140]) ).
cnf(c_0_780,negated_conjecture,
( ~ hskp7
| ~ c2_1(a2524) ),
c_0_657 ).
cnf(c_0_781,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2552) ),
c_0_658 ).
cnf(c_0_782,negated_conjecture,
( ~ hskp26
| ~ c2_1(a2601) ),
c_0_659 ).
cnf(c_0_783,negated_conjecture,
( ~ hskp22
| c2_1(a2552) ),
c_0_660 ).
cnf(c_0_784,negated_conjecture,
( hskp26
| hskp21
| hskp30 ),
clause35 ).
cnf(c_0_785,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_700,c_0_701,c_0_702,c_0_703,c_0_704,c_0_705,c_0_706,c_0_707,c_0_708,c_0_709,c_0_710,c_0_711,c_0_712,c_0_713,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_724,c_0_547,c_0_725,c_0_726,c_0_727,c_0_728,c_0_729,c_0_730,c_0_731,c_0_485,c_0_402,c_0_364,c_0_305,c_0_393,c_0_204,c_0_203,c_0_732,c_0_216,c_0_733,c_0_734,c_0_596,c_0_493,c_0_735,c_0_603,c_0_736,c_0_257,c_0_486,c_0_403,c_0_401,c_0_737,c_0_304,c_0_738,c_0_739,c_0_432,c_0_740,c_0_741,c_0_742,c_0_743,c_0_744,c_0_261,c_0_489,c_0_224,c_0_267,c_0_330,c_0_496,c_0_745,c_0_746,c_0_622,c_0_747,c_0_623,c_0_748,c_0_294,c_0_197,c_0_749,c_0_490,c_0_750,c_0_344,c_0_256,c_0_751,c_0_602,c_0_293,c_0_752,c_0_508,c_0_753,c_0_545,c_0_270,c_0_624,c_0_512,c_0_754,c_0_368,c_0_755,c_0_756,c_0_757,c_0_758,c_0_759,c_0_605,c_0_760,c_0_761,c_0_762,c_0_438,c_0_763,c_0_764,c_0_765,c_0_766,c_0_767,c_0_768,c_0_769,c_0_770,c_0_771,c_0_772,c_0_597,c_0_773,c_0_774,c_0_546,c_0_588,c_0_775,c_0_776,c_0_471,c_0_777,c_0_391,c_0_778,c_0_345,c_0_779,c_0_407,c_0_631,c_0_409,c_0_410,c_0_780,c_0_449,c_0_567,c_0_442,c_0_443,c_0_323,c_0_322,c_0_167,c_0_166,c_0_215,c_0_327,c_0_781,c_0_436,c_0_435,c_0_782,c_0_163,c_0_159,c_0_239,c_0_241,c_0_585,c_0_633,c_0_219,c_0_279,c_0_357,c_0_783,c_0_248,c_0_212,c_0_190,c_0_507,c_0_511,c_0_208,c_0_161,c_0_247,c_0_192,c_0_287,c_0_214,c_0_326,c_0_240,c_0_221,c_0_434,c_0_447,c_0_217,c_0_630,c_0_784,c_0_491,c_0_243,c_0_135]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN489-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.38 % Computer : n002.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 11:04:54 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.43 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.50/6.57 % Version: 3.5.1
% 8.50/6.57 % Preprocessing class: FSLSSLSMSSSNFFN.
% 8.50/6.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.50/6.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 8.50/6.57 % Starting new_bool_3 with 300s (1) cores
% 8.50/6.57 % Starting new_bool_1 with 300s (1) cores
% 8.50/6.57 % Starting sh5l with 300s (1) cores
% 8.50/6.57 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3135117 completed with status 0
% 8.50/6.57 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 8.50/6.57 % Preprocessing class: FSLSSLSMSSSNFFN.
% 8.50/6.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.50/6.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 8.50/6.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.50/6.57 % No SInE strategy applied
% 8.50/6.57 % Search class: FGHNF-FSMM00-SFFFFFNN
% 8.50/6.57 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 8.50/6.57 % Starting SubtermCWHack with 151s (1) cores
% 8.50/6.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 8.50/6.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 8.50/6.57 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 8.50/6.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 8.50/6.57 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3135122 completed with status 0
% 8.50/6.57 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 8.50/6.57 % Preprocessing class: FSLSSLSMSSSNFFN.
% 8.50/6.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.50/6.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 8.50/6.57 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.50/6.57 % No SInE strategy applied
% 8.50/6.57 % Search class: FGHNF-FSMM00-SFFFFFNN
% 8.50/6.57 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 8.50/6.57 % Starting SubtermCWHack with 151s (1) cores
% 8.50/6.57 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 8.50/6.57 % Preprocessing time : 0.001 s
% 8.50/6.57 % SatCheck found unsatisfiable ground set
% 8.50/6.57
% 8.50/6.57 % Proof found!
% 8.50/6.57 % SZS status Unsatisfiable
% 8.50/6.57 % SZS output start CNFRefutation
% See solution above
% 8.50/6.58 % Parsed axioms : 204
% 8.50/6.58 % Removed by relevancy pruning/SinE : 0
% 8.50/6.58 % Initial clauses : 204
% 8.50/6.58 % Removed in clause preprocessing : 0
% 8.50/6.58 % Initial clauses in saturation : 204
% 8.50/6.58 % Processed clauses : 7761
% 8.50/6.58 % ...of these trivial : 0
% 8.50/6.58 % ...subsumed : 2761
% 8.50/6.58 % ...remaining for further processing : 5000
% 8.50/6.58 % Other redundant clauses eliminated : 0
% 8.50/6.58 % Clauses deleted for lack of memory : 0
% 8.50/6.58 % Backward-subsumed : 785
% 8.50/6.58 % Backward-rewritten : 57
% 8.50/6.58 % Generated clauses : 76316
% 8.50/6.58 % ...of the previous two non-redundant : 71879
% 8.50/6.58 % ...aggressively subsumed : 0
% 8.50/6.58 % Contextual simplify-reflections : 551
% 8.50/6.58 % Paramodulations : 76209
% 8.50/6.58 % Factorizations : 0
% 8.50/6.58 % NegExts : 0
% 8.50/6.58 % Equation resolutions : 0
% 8.50/6.58 % Disequality decompositions : 0
% 8.50/6.58 % Total rewrite steps : 97
% 8.50/6.58 % ...of those cached : 96
% 8.50/6.58 % Propositional unsat checks : 1
% 8.50/6.58 % Propositional check models : 0
% 8.50/6.58 % Propositional check unsatisfiable : 1
% 8.50/6.58 % Propositional clauses : 67703
% 8.50/6.58 % Propositional clauses after purity: 66924
% 8.50/6.58 % Propositional unsat core size : 217
% 8.50/6.58 % Propositional preprocessing time : 0.000
% 8.50/6.58 % Propositional encoding time : 0.019
% 8.50/6.58 % Propositional solver time : 0.052
% 8.50/6.58 % Success case prop preproc time : 0.000
% 8.50/6.58 % Success case prop encoding time : 0.019
% 8.50/6.58 % Success case prop solver time : 0.052
% 8.50/6.58 % Current number of processed clauses : 4115
% 8.50/6.58 % Positive orientable unit clauses : 1
% 8.50/6.58 % Positive unorientable unit clauses: 0
% 8.50/6.58 % Negative unit clauses : 0
% 8.50/6.58 % Non-unit-clauses : 4114
% 8.50/6.58 % Current number of unprocessed clauses: 63588
% 8.50/6.58 % ...number of literals in the above : 438514
% 8.50/6.58 % Current number of archived formulas : 0
% 8.50/6.58 % Current number of archived clauses : 842
% 8.50/6.58 % Clause-clause subsumption calls (NU) : 4453589
% 8.50/6.58 % Rec. Clause-clause subsumption calls : 212323
% 8.50/6.58 % Non-unit clause-clause subsumptions : 4161
% 8.50/6.58 % Unit Clause-clause subsumption calls : 4
% 8.50/6.58 % Rewrite failures with RHS unbound : 0
% 8.50/6.58 % BW rewrite match attempts : 1
% 8.50/6.58 % BW rewrite match successes : 1
% 8.50/6.58 % Condensation attempts : 7761
% 8.50/6.58 % Condensation successes : 0
% 8.50/6.58 % Termbank termtop insertions : 727657
% 8.50/6.58 % Search garbage collected termcells : 527
% 8.50/6.58
% 8.50/6.58 % -------------------------------------------------
% 8.50/6.58 % User time : 1.051 s
% 8.50/6.58 % System time : 0.056 s
% 8.50/6.58 % Total time : 1.107 s
% 8.50/6.58 % Maximum resident set size: 4052 pages
% 8.50/6.58
% 8.50/6.58 % -------------------------------------------------
% 8.50/6.58 % User time : 5.380 s
% 8.50/6.58 % System time : 0.172 s
% 8.50/6.58 % Total time : 5.552 s
% 8.50/6.58 % Maximum resident set size: 5120 pages
% 8.50/6.58 % E exiting
%------------------------------------------------------------------------------