%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN468-1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:24:36 PM UTC 2026
% Result : Unsatisfiable 10.70s 1.91s
% Output : CNFRefutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 188
% Syntax : Number of formulae : 950 ( 2 unt; 0 def)
% Number of atoms : 3496 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 4063 (1517 ~;2501 |; 0 &)
% ( 45 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 81 ( 80 usr; 77 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 344 ( 0 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause5,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(clause8,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause33,negated_conjecture,
( hskp24
| hskp27
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause108,negated_conjecture,
( ~ hskp20
| ~ c1_1(a329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ hskp20
| ~ c2_1(a329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause120,negated_conjecture,
( ~ hskp13
| ~ c1_1(a308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause121,negated_conjecture,
( ~ hskp13
| ~ c2_1(a308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause70,negated_conjecture,
( ~ hskp13
| c0_1(a308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause107,negated_conjecture,
( ~ hskp20
| ~ c0_1(a329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause87,negated_conjecture,
( ~ hskp3
| c2_1(a294) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause86,negated_conjecture,
( ~ hskp3
| c0_1(a294) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause64,negated_conjecture,
( ~ hskp18
| c0_1(a325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause112,negated_conjecture,
( ~ hskp18
| ~ c3_1(a325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause56,negated_conjecture,
( ~ hskp27
| c1_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause92,negated_conjecture,
( ~ hskp27
| ~ c0_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause45,negated_conjecture,
( ~ hskp31
| c1_1(a367) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause44,negated_conjecture,
( ~ hskp31
| c0_1(a367) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause46,negated_conjecture,
( ~ hskp31
| c2_1(a367) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause134,negated_conjecture,
( ~ hskp3
| ~ c1_1(a294) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause91,negated_conjecture,
( ~ hskp0
| c1_1(a291) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause138,negated_conjecture,
( ~ hskp0
| ~ c2_1(a291) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause139,negated_conjecture,
( ~ hskp0
| ~ c3_1(a291) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause135,negated_conjecture,
( ~ hskp2
| ~ c1_1(a293) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause88,negated_conjecture,
( ~ hskp2
| c3_1(a293) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause136,negated_conjecture,
( ~ hskp2
| ~ c2_1(a293) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause111,negated_conjecture,
( ~ hskp18
| ~ c1_1(a325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause71,negated_conjecture,
( ~ hskp12
| c2_1(a307) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause123,negated_conjecture,
( ~ hskp12
| ~ c3_1(a307) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause122,negated_conjecture,
( ~ hskp12
| ~ c1_1(a307) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause101,negated_conjecture,
( ~ hskp23
| ~ c2_1(a337) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause60,negated_conjecture,
( ~ hskp23
| c3_1(a337) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause59,negated_conjecture,
( ~ hskp23
| c1_1(a337) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause128,negated_conjecture,
( ~ hskp7
| ~ c2_1(a299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause80,negated_conjecture,
( ~ hskp7
| c0_1(a299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause81,negated_conjecture,
( ~ hskp7
| c3_1(a299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause58,negated_conjecture,
( ~ hskp24
| c1_1(a341) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause99,negated_conjecture,
( ~ hskp24
| ~ c0_1(a341) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause100,negated_conjecture,
( ~ hskp24
| ~ c3_1(a341) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause39,negated_conjecture,
( hskp20
| hskp2
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause127,negated_conjecture,
( ~ hskp8
| ~ c1_1(a300) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause78,negated_conjecture,
( ~ hskp8
| c0_1(a300) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause79,negated_conjecture,
( ~ hskp8
| c3_1(a300) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause36,negated_conjecture,
( hskp18
| hskp13
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause137,negated_conjecture,
( ~ hskp1
| ~ c1_1(a292) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause89,negated_conjecture,
( ~ hskp1
| c2_1(a292) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause90,negated_conjecture,
( ~ hskp1
| c3_1(a292) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause170,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause96,negated_conjecture,
( ~ hskp26
| ~ c3_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause94,negated_conjecture,
( ~ hskp26
| ~ c0_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause115,negated_conjecture,
( ~ hskp17
| ~ c3_1(a323) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause113,negated_conjecture,
( ~ hskp17
| ~ c0_1(a323) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause95,negated_conjecture,
( ~ hskp26
| ~ c1_1(a359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause83,negated_conjecture,
( ~ hskp5
| c1_1(a297) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( ~ hskp5
| c2_1(a297) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause131,negated_conjecture,
( ~ hskp5
| ~ c0_1(a297) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause65,negated_conjecture,
( ~ hskp16
| c2_1(a315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause116,negated_conjecture,
( ~ hskp16
| ~ c0_1(a315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
cnf(clause117,negated_conjecture,
( ~ hskp16
| ~ c3_1(a315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause171,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
cnf(clause169,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause114,negated_conjecture,
( ~ hskp17
| ~ c2_1(a323) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause175,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause38,negated_conjecture,
( hskp16
| hskp1
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause41,negated_conjecture,
( hskp2
| hskp12
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause93,negated_conjecture,
( ~ hskp27
| ~ c2_1(a368) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause178,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause106,negated_conjecture,
( ~ hskp21
| ~ c2_1(a330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause61,negated_conjecture,
( ~ hskp21
| c3_1(a330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause105,negated_conjecture,
( ~ hskp21
| ~ c0_1(a330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause43,negated_conjecture,
( hskp17
| hskp26
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause181,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause102,negated_conjecture,
( ~ hskp22
| ~ c1_1(a331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause104,negated_conjecture,
( ~ hskp22
| ~ c3_1(a331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause195,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
cnf(clause62,negated_conjecture,
( ~ hskp19
| c2_1(a326) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause63,negated_conjecture,
( ~ hskp19
| c3_1(a326) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause110,negated_conjecture,
( ~ hskp19
| ~ c0_1(a326) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause40,negated_conjecture,
( hskp22
| hskp16
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause103,negated_conjecture,
( ~ hskp22
| ~ c2_1(a331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| hskp11
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
cnf(clause166,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause165,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause168,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause188,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
cnf(clause173,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause180,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
cnf(clause132,negated_conjecture,
( ~ hskp4
| ~ c2_1(a295) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause85,negated_conjecture,
( ~ hskp4
| c0_1(a295) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause133,negated_conjecture,
( ~ hskp4
| ~ c3_1(a295) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause72,negated_conjecture,
( ~ hskp11
| c1_1(a306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause73,negated_conjecture,
( ~ hskp11
| c3_1(a306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause124,negated_conjecture,
( ~ hskp11
| ~ c0_1(a306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp8
| hskp15
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
cnf(clause77,negated_conjecture,
( ~ hskp9
| c1_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( ~ hskp9
| c0_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause126,negated_conjecture,
( ~ hskp9
| ~ c2_1(a304) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause37,negated_conjecture,
( hskp12
| hskp19
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause196,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c1_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',clause196) ).
cnf(clause67,negated_conjecture,
( ~ hskp15
| c1_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause66,negated_conjecture,
( ~ hskp15
| c0_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause118,negated_conjecture,
( ~ hskp15
| ~ c3_1(a311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp23
| hskp8
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause160,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp9
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| hskp28
| hskp4
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp4
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause158,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| hskp24
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(clause154,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| hskp13
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
cnf(clause53,negated_conjecture,
( ~ hskp28
| c1_1(a296) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause54,negated_conjecture,
( ~ hskp28
| c2_1(a296) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause55,negated_conjecture,
( ~ hskp28
| c3_1(a296) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause57,negated_conjecture,
( ~ hskp25
| c3_1(a353) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause97,negated_conjecture,
( ~ hskp25
| ~ c0_1(a353) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause194,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause174,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp4
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause177,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause82,negated_conjecture,
( ~ hskp6
| c2_1(a298) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause129,negated_conjecture,
( ~ hskp6
| ~ c0_1(a298) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause130,negated_conjecture,
( ~ hskp6
| ~ c1_1(a298) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause193,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
cnf(clause184,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause51,negated_conjecture,
( ~ hskp29
| c2_1(a301) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause35,negated_conjecture,
( hskp0
| hskp23
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause69,negated_conjecture,
( ~ hskp14
| c2_1(a309) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause68,negated_conjecture,
( ~ hskp14
| c0_1(a309) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause119,negated_conjecture,
( ~ hskp14
| ~ c3_1(a309) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause191,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
cnf(clause192,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause187,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
cnf(clause186,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause185,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp9
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause182,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause183,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp16
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
cnf(clause179,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp22
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause176,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause172,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause42,negated_conjecture,
( hskp20
| hskp19
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause52,negated_conjecture,
( ~ hskp29
| c3_1(a301) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause50,negated_conjecture,
( ~ hskp29
| c0_1(a301) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(c_0_143,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause5]) ).
cnf(c_0_145,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause8]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
c_0_143 ).
cnf(c_0_147,negated_conjecture,
( hskp24
| hskp27
| hskp31 ),
clause33 ).
cnf(c_0_148,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
c_0_144 ).
cnf(c_0_149,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
c_0_145 ).
cnf(c_0_150,negated_conjecture,
( ~ ndr1_0
| hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
cnf(c_0_151,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp20
| ~ c1_1(a329) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
fof(c_0_153,plain,
( ~ epred6_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp20
| ~ c2_1(a329) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
fof(c_0_155,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_156,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149]) ).
cnf(c_0_157,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23 ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp13
| ~ c1_1(a308) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp13
| ~ c2_1(a308) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
fof(c_0_160,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_161,negated_conjecture,
( ~ hskp13
| c0_1(a308) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_162,negated_conjecture,
( ~ ndr1_0
| hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
c_0_150 ).
cnf(c_0_163,negated_conjecture,
( ~ hskp20
| ~ c0_1(a329) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
fof(c_0_164,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp3
| c2_1(a294) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp3
| c0_1(a294) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_167,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp20
| c3_1(X1) ),
c_0_151 ).
cnf(c_0_168,negated_conjecture,
( ~ hskp20
| ~ c1_1(a329) ),
c_0_152 ).
cnf(c_0_169,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_153]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp20
| ~ c2_1(a329) ),
c_0_154 ).
cnf(c_0_171,negated_conjecture,
( hskp3
| c1_1(X1)
| c3_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_155]),c_0_156])]) ).
fof(c_0_172,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred39_0
<=> ! [X3] :
( ~ c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred34_0
<=> ! [X3] :
( c3_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_175,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp20 ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp18
| c0_1(a325) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp18
| ~ c3_1(a325) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
fof(c_0_178,plain,
( ~ epred24_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp27
| c1_1(a368) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp27
| ~ c0_1(a368) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
fof(c_0_181,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c0_1(X1)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp23 ),
c_0_157 ).
cnf(c_0_183,negated_conjecture,
( ~ hskp31
| c1_1(a367) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_184,negated_conjecture,
( ~ hskp31
| c0_1(a367) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp31
| c2_1(a367) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp3
| ~ c1_1(a294) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
fof(c_0_187,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_188,negated_conjecture,
( ~ hskp0
| c1_1(a291) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp0
| ~ c2_1(a291) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_190,negated_conjecture,
( ~ hskp0
| ~ c3_1(a291) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp13
| ~ c1_1(a308) ),
c_0_158 ).
cnf(c_0_192,negated_conjecture,
( ~ hskp13
| ~ c2_1(a308) ),
c_0_159 ).
cnf(c_0_193,negated_conjecture,
( ~ c0_1(X1)
| hskp0
| c1_1(X1)
| c3_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_156])]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp13
| c0_1(a308) ),
c_0_161 ).
cnf(c_0_195,negated_conjecture,
( hskp3
| c0_1(X1)
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_156])]) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp20
| ~ c0_1(a329) ),
c_0_163 ).
cnf(c_0_197,negated_conjecture,
( ~ hskp2
| ~ c1_1(a293) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp2
| c3_1(a293) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp2
| ~ c2_1(a293) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
fof(c_0_200,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_201,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_164]) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp3
| c2_1(a294) ),
c_0_165 ).
cnf(c_0_203,negated_conjecture,
( ~ hskp3
| c0_1(a294) ),
c_0_166 ).
cnf(c_0_204,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp20
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_156])]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp20
| ~ c3_1(a329)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp20
| hskp3
| c3_1(a329)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_168,c_0_171]) ).
cnf(c_0_207,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_208,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_173]) ).
cnf(c_0_209,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred34_0 ),
inference(split_equiv,[status(thm)],[c_0_174]) ).
cnf(c_0_210,negated_conjecture,
( ~ c0_1(X1)
| hskp20
| c3_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_175]),c_0_156])]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp18
| c0_1(a325) ),
c_0_176 ).
cnf(c_0_212,negated_conjecture,
( ~ hskp18
| ~ c3_1(a325) ),
c_0_177 ).
fof(c_0_213,plain,
( ~ epred44_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_214,plain,
( ~ epred41_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_215,negated_conjecture,
( ~ hskp18
| ~ c1_1(a325) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_216,negated_conjecture,
( ~ hskp12
| c2_1(a307) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp12
| ~ c3_1(a307) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp12
| ~ c1_1(a307) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_219,negated_conjecture,
( ~ hskp23
| ~ c2_1(a337) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp23
| c3_1(a337) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_221,negated_conjecture,
( ~ hskp23
| c1_1(a337) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp7
| ~ c2_1(a299) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp7
| c0_1(a299) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp7
| c3_1(a299) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_225,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp7
| c0_1(X1)
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_156])]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp27
| c1_1(a368) ),
c_0_179 ).
cnf(c_0_227,negated_conjecture,
( ~ hskp27
| ~ c0_1(a368) ),
c_0_180 ).
cnf(c_0_228,negated_conjecture,
( ~ c1_1(X1)
| hskp7
| c0_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_181]),c_0_156])]) ).
cnf(c_0_229,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_156])]) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp31
| c1_1(a367) ),
c_0_183 ).
cnf(c_0_231,negated_conjecture,
( ~ hskp31
| c0_1(a367) ),
c_0_184 ).
cnf(c_0_232,negated_conjecture,
( ~ hskp31
| c2_1(a367) ),
c_0_185 ).
cnf(c_0_233,negated_conjecture,
( ~ hskp24
| c1_1(a341) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp24
| ~ c0_1(a341) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp24
| ~ c3_1(a341) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp3
| ~ c1_1(a294) ),
c_0_186 ).
cnf(c_0_237,negated_conjecture,
( ~ c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_187]),c_0_156])]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp0
| c1_1(a291) ),
c_0_188 ).
cnf(c_0_239,negated_conjecture,
( ~ hskp0
| ~ c2_1(a291) ),
c_0_189 ).
cnf(c_0_240,negated_conjecture,
( ~ hskp0
| ~ c3_1(a291) ),
c_0_190 ).
cnf(c_0_241,negated_conjecture,
( ~ hskp13
| ~ c3_1(a308)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_169]),c_0_192]) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp13
| hskp0
| c3_1(a308)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_191]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp20
| hskp3
| c3_1(a329) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_195]),c_0_196]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp2
| ~ c1_1(a293) ),
c_0_197 ).
cnf(c_0_245,negated_conjecture,
( ~ hskp2
| c3_1(a293) ),
c_0_198 ).
cnf(c_0_246,negated_conjecture,
( ~ hskp2
| ~ c2_1(a293) ),
c_0_199 ).
cnf(c_0_247,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_200]) ).
cnf(c_0_248,negated_conjecture,
( ~ hskp3
| ~ c3_1(a294)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp3
| hskp20
| c3_1(a294) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_202]),c_0_203]) ).
cnf(c_0_250,negated_conjecture,
( ~ hskp13
| hskp3
| c3_1(a308)
| epred1_0 ),
inference(spm,[status(thm)],[c_0_191,c_0_171]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp20
| hskp3
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_252,negated_conjecture,
( hskp20
| hskp2
| hskp13 ),
clause39 ).
cnf(c_0_253,negated_conjecture,
( ~ hskp20
| c3_1(a329)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_207]),c_0_170]) ).
fof(c_0_254,plain,
( ~ epred43_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_255,negated_conjecture,
( ~ hskp8
| ~ c1_1(a300) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp8
| c0_1(a300) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_257,negated_conjecture,
( ~ hskp8
| c3_1(a300) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_258,negated_conjecture,
( ~ hskp20
| ~ c3_1(a329)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_208]),c_0_196]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp20
| c3_1(a329)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_209]),c_0_196]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp18
| hskp20
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).
cnf(c_0_261,negated_conjecture,
( hskp18
| hskp13
| hskp8 ),
clause36 ).
cnf(c_0_262,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred44_0 ),
inference(split_equiv,[status(thm)],[c_0_213]) ).
cnf(c_0_263,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred41_0 ),
inference(split_equiv,[status(thm)],[c_0_214]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp18
| ~ c1_1(a325) ),
c_0_215 ).
cnf(c_0_265,negated_conjecture,
( ~ hskp1
| ~ c1_1(a292) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
fof(c_0_266,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp1
| c2_1(a292) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp1
| c3_1(a292) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp12
| c2_1(a307) ),
c_0_216 ).
cnf(c_0_270,negated_conjecture,
( ~ hskp12
| ~ c3_1(a307) ),
c_0_217 ).
cnf(c_0_271,negated_conjecture,
( ~ hskp12
| ~ c1_1(a307) ),
c_0_218 ).
cnf(c_0_272,negated_conjecture,
( ~ hskp23
| ~ c2_1(a337) ),
c_0_219 ).
cnf(c_0_273,negated_conjecture,
( ~ hskp23
| c3_1(a337) ),
c_0_220 ).
cnf(c_0_274,negated_conjecture,
( ~ hskp23
| c1_1(a337) ),
c_0_221 ).
cnf(c_0_275,negated_conjecture,
( ~ hskp7
| ~ c2_1(a299) ),
c_0_222 ).
cnf(c_0_276,negated_conjecture,
( ~ hskp7
| c0_1(a299) ),
c_0_223 ).
cnf(c_0_277,negated_conjecture,
( ~ hskp7
| c3_1(a299) ),
c_0_224 ).
cnf(c_0_278,negated_conjecture,
( ~ hskp27
| ~ c3_1(a368)
| hskp7
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp27
| hskp7
| c3_1(a368)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_226]),c_0_227]) ).
cnf(c_0_280,negated_conjecture,
( ~ hskp31
| hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_281,negated_conjecture,
( ~ hskp24
| c1_1(a341) ),
c_0_233 ).
cnf(c_0_282,negated_conjecture,
( ~ hskp24
| ~ c0_1(a341) ),
c_0_234 ).
cnf(c_0_283,negated_conjecture,
( ~ hskp24
| ~ c3_1(a341) ),
c_0_235 ).
cnf(c_0_284,negated_conjecture,
( ~ hskp3
| hskp0
| c3_1(a294)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_203]),c_0_236]) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp0
| epred33_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_240]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp13
| hskp0
| epred3_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp20
| hskp3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_243]) ).
cnf(c_0_288,negated_conjecture,
( ~ hskp2
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_169]),c_0_245]),c_0_246]) ).
cnf(c_0_289,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp20
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_247]),c_0_196]),c_0_170]) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp3
| hskp20
| epred27_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp13
| hskp3
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_250]) ).
cnf(c_0_293,negated_conjecture,
( hskp13
| hskp3
| hskp2
| epred1_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_294,negated_conjecture,
( ~ hskp13
| c3_1(a308)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_207]),c_0_192]) ).
cnf(c_0_295,negated_conjecture,
( ~ hskp20
| epred2_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_253]) ).
fof(c_0_296,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp21 ) ),
introduced(definition) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp26
| ~ c3_1(a359) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_298,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_156])]) ).
cnf(c_0_299,negated_conjecture,
( ~ hskp26
| ~ c0_1(a359) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
cnf(c_0_300,negated_conjecture,
( ~ hskp17
| ~ c3_1(a323) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp17
| ~ c0_1(a323) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp26
| ~ c1_1(a359) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp8
| ~ c1_1(a300) ),
c_0_255 ).
cnf(c_0_304,negated_conjecture,
( ~ hskp8
| c0_1(a300) ),
c_0_256 ).
cnf(c_0_305,negated_conjecture,
( ~ hskp8
| c3_1(a300) ),
c_0_257 ).
cnf(c_0_306,negated_conjecture,
( ~ hskp20
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_307,negated_conjecture,
( hskp20
| hskp13
| hskp8
| epred5_0 ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp3
| ~ c3_1(a294)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_262]),c_0_203]) ).
fof(c_0_309,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_310,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_201,c_0_263]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp18
| hskp3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_171]),c_0_212]) ).
fof(c_0_312,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp13 ) ),
introduced(definition) ).
fof(c_0_313,plain,
( ~ epred16_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp5
| c1_1(a297) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_315,negated_conjecture,
( ~ hskp5
| c2_1(a297) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_316,negated_conjecture,
( ~ hskp5
| ~ c0_1(a297) ),
inference(fof_simplification,[status(thm)],[clause131]) ).
fof(c_0_317,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp16
| c2_1(a315) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp16
| ~ c0_1(a315) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp16
| ~ c3_1(a315) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp1
| ~ c1_1(a292) ),
c_0_265 ).
cnf(c_0_322,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_266]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp1
| c2_1(a292) ),
c_0_267 ).
cnf(c_0_324,negated_conjecture,
( ~ hskp1
| c3_1(a292) ),
c_0_268 ).
fof(c_0_325,plain,
( ~ epred12_0
<=> ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp12
| ~ c0_1(a307)
| hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_269]),c_0_270]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp12
| hskp3
| c0_1(a307) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_195]),c_0_270]) ).
cnf(c_0_328,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp23
| ~ c0_1(a337)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_263]),c_0_273]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp23
| hskp7
| c0_1(a337)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_274]),c_0_273]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp7
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_263]),c_0_276]),c_0_277]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp27
| hskp7
| epred11_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_333,negated_conjecture,
( hskp27
| hskp24
| hskp23 ),
inference(spm,[status(thm)],[c_0_280,c_0_147]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp24
| hskp7
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_281]),c_0_282]),c_0_283]) ).
cnf(c_0_335,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp3
| hskp0
| epred3_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_284]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp13
| epred3_0
| epred6_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_338,negated_conjecture,
( hskp13
| hskp3
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_252]),c_0_288]) ).
cnf(c_0_339,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_289 ).
cnf(c_0_340,negated_conjecture,
( ~ hskp3
| epred4_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_341,negated_conjecture,
( hskp3
| epred1_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_288]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp13
| epred2_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_294]) ).
cnf(c_0_343,negated_conjecture,
( hskp13
| hskp2
| epred2_0
| epred6_0 ),
inference(spm,[status(thm)],[c_0_295,c_0_252]) ).
cnf(c_0_344,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp21
| c3_1(X1)
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_296]),c_0_156])]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp26
| ~ c3_1(a359) ),
c_0_297 ).
cnf(c_0_346,negated_conjecture,
( hskp3
| c0_1(X1)
| c3_1(X1)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_195]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp26
| ~ c0_1(a359) ),
c_0_299 ).
cnf(c_0_348,negated_conjecture,
( ~ hskp17
| ~ c3_1(a323) ),
c_0_300 ).
cnf(c_0_349,negated_conjecture,
( ~ hskp17
| ~ c0_1(a323) ),
c_0_301 ).
cnf(c_0_350,negated_conjecture,
( ~ hskp17
| ~ c2_1(a323) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_351,negated_conjecture,
( ~ hskp26
| ~ c1_1(a359) ),
c_0_302 ).
cnf(c_0_352,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_353,negated_conjecture,
( ~ hskp13
| ~ c3_1(a308)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_262]),c_0_194]) ).
cnf(c_0_354,negated_conjecture,
( ~ hskp13
| hskp20
| c3_1(a308)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_210,c_0_194]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp8
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_262]),c_0_304]),c_0_305]) ).
cnf(c_0_356,negated_conjecture,
( hskp13
| hskp8
| epred5_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_357,negated_conjecture,
( ~ hskp20
| epred6_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_259]) ).
cnf(c_0_358,negated_conjecture,
( ~ hskp3
| hskp20
| epred44_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_249]) ).
cnf(c_0_359,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_309]),c_0_156])]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp13
| ~ c3_1(a308)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_263]),c_0_194]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp8
| epred27_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_305]),c_0_304]) ).
cnf(c_0_362,negated_conjecture,
( hskp13
| hskp8
| hskp3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_261]) ).
cnf(c_0_363,negated_conjecture,
( ~ c0_1(X1)
| hskp13
| c1_1(X1)
| c3_1(X1)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_312]),c_0_156])]) ).
cnf(c_0_364,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_313]) ).
cnf(c_0_365,negated_conjecture,
( ~ hskp5
| c1_1(a297) ),
c_0_314 ).
cnf(c_0_366,negated_conjecture,
( ~ hskp5
| c2_1(a297) ),
c_0_315 ).
cnf(c_0_367,negated_conjecture,
( ~ hskp5
| ~ c0_1(a297) ),
c_0_316 ).
cnf(c_0_368,negated_conjecture,
( ~ c2_1(X1)
| hskp5
| c0_1(X1)
| c3_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_317]),c_0_156])]) ).
cnf(c_0_369,negated_conjecture,
( ~ hskp16
| c2_1(a315) ),
c_0_318 ).
cnf(c_0_370,negated_conjecture,
( ~ hskp16
| ~ c0_1(a315) ),
c_0_319 ).
cnf(c_0_371,negated_conjecture,
( ~ hskp16
| ~ c3_1(a315) ),
c_0_320 ).
cnf(c_0_372,negated_conjecture,
( ~ hskp1
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]),c_0_324]) ).
cnf(c_0_373,negated_conjecture,
( hskp16
| hskp1
| hskp7 ),
clause38 ).
cnf(c_0_374,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_325]) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp12
| hskp20
| hskp3 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_376,negated_conjecture,
( hskp2
| hskp12
| hskp23 ),
clause41 ).
cnf(c_0_377,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_328 ).
cnf(c_0_378,negated_conjecture,
( ~ hskp23
| epred24_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_331]) ).
cnf(c_0_379,negated_conjecture,
( hskp23
| hskp7
| epred11_0
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]) ).
fof(c_0_380,plain,
( ~ epred42_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp27
| ~ c2_1(a368) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
fof(c_0_382,plain,
( ~ epred21_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_383,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_384,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_335 ).
cnf(c_0_385,negated_conjecture,
( ~ hskp3
| epred3_0
| epred27_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_336]) ).
cnf(c_0_386,negated_conjecture,
( hskp3
| epred3_0
| epred6_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_387,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_339,c_0_162]),c_0_155]),c_0_172]) ).
cnf(c_0_388,negated_conjecture,
( epred1_0
| epred4_0
| epred6_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_389,negated_conjecture,
( epred2_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_288]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp21
| ~ c2_1(a330) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp21
| c3_1(a330) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp21
| ~ c0_1(a330) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
cnf(c_0_393,negated_conjecture,
( ~ hskp3
| hskp21
| c3_1(a294)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_202]),c_0_203]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp26
| hskp3
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_347]) ).
cnf(c_0_395,negated_conjecture,
( hskp17
| hskp26
| hskp21 ),
clause43 ).
cnf(c_0_396,negated_conjecture,
( ~ hskp17
| hskp3
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_346]),c_0_349]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp3
| ~ c3_1(a294)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_322]),c_0_202]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp17
| ~ c2_1(a323) ),
c_0_350 ).
cnf(c_0_399,negated_conjecture,
( ~ hskp26
| hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_195]),c_0_347]),c_0_345]) ).
cnf(c_0_400,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp20
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_352 ).
cnf(c_0_401,negated_conjecture,
( ~ hskp13
| hskp20
| epred5_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_402,negated_conjecture,
( hskp13
| epred5_0
| epred34_0
| epred39_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp3
| epred6_0
| epred34_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp3
| c3_1(a294)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_359]),c_0_202]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp13
| hskp3
| epred1_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_250]) ).
cnf(c_0_406,negated_conjecture,
( hskp13
| hskp3
| epred1_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_362]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp18
| hskp13
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_211]),c_0_264]),c_0_212]) ).
cnf(c_0_408,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp5
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]),c_0_367]) ).
cnf(c_0_410,negated_conjecture,
( ~ hskp16
| hskp5
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]),c_0_371]) ).
cnf(c_0_411,negated_conjecture,
( hskp16
| hskp7
| epred29_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_412,negated_conjecture,
( ~ hskp20
| ~ c3_1(a329)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_374]),c_0_196]) ).
cnf(c_0_413,negated_conjecture,
( hskp23
| hskp20
| hskp3
| hskp2 ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp2
| ~ c0_1(a293)
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_263]),c_0_245]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp2
| c0_1(a293)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_374]),c_0_245]) ).
cnf(c_0_416,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_377,c_0_181]),c_0_325]) ).
cnf(c_0_417,negated_conjecture,
( epred11_0
| epred24_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_331]) ).
cnf(c_0_418,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_156])]) ).
cnf(c_0_419,negated_conjecture,
( ~ hskp27
| ~ c2_1(a368) ),
c_0_381 ).
fof(c_0_420,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| hskp4 ) ),
introduced(definition) ).
fof(c_0_421,plain,
( ~ epred46_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_422,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_423,plain,
( ~ epred9_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_424,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_382]) ).
fof(c_0_425,plain,
( ~ epred35_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp22
| ~ c1_1(a331) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp22
| ~ c3_1(a331) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_428,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_383 ).
cnf(c_0_429,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_384,c_0_160]),c_0_200]) ).
cnf(c_0_430,negated_conjecture,
( epred3_0
| epred6_0
| epred27_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_431,negated_conjecture,
( epred4_0
| epred6_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp21
| ~ c2_1(a330) ),
c_0_390 ).
cnf(c_0_433,negated_conjecture,
( ~ hskp21
| c3_1(a330) ),
c_0_391 ).
cnf(c_0_434,negated_conjecture,
( ~ hskp21
| ~ c0_1(a330) ),
c_0_392 ).
cnf(c_0_435,negated_conjecture,
( ~ hskp3
| hskp21
| epred18_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_393]) ).
cnf(c_0_436,negated_conjecture,
( hskp21
| hskp3
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_396]) ).
fof(c_0_437,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp21 ) ),
introduced(definition) ).
cnf(c_0_438,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp3
| hskp20
| epred29_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_249]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp17
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_209]),c_0_349]),c_0_348]) ).
cnf(c_0_441,negated_conjecture,
( hskp21
| hskp17
| hskp3 ),
inference(spm,[status(thm)],[c_0_399,c_0_395]) ).
cnf(c_0_442,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_400,c_0_167]),c_0_175]),c_0_153]) ).
cnf(c_0_443,negated_conjecture,
( epred5_0
| epred34_0
| epred39_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_401]),c_0_402]) ).
cnf(c_0_444,negated_conjecture,
( epred1_0
| epred6_0
| epred34_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_341]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp3
| epred27_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_404]) ).
cnf(c_0_446,negated_conjecture,
( hskp3
| epred1_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_406]) ).
cnf(c_0_447,negated_conjecture,
( hskp13
| hskp8
| epred7_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_261]) ).
cnf(c_0_448,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp7
| c0_1(X2)
| c0_1(X1) ),
c_0_408 ).
cnf(c_0_449,negated_conjecture,
( ~ hskp16
| epred16_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_450,negated_conjecture,
( hskp16
| epred29_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_411]) ).
cnf(c_0_451,negated_conjecture,
( ~ hskp20
| hskp3
| epred12_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_243]) ).
cnf(c_0_452,negated_conjecture,
( hskp20
| hskp3
| hskp2
| epred24_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_413]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp2
| epred12_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_414,c_0_415]) ).
cnf(c_0_454,negated_conjecture,
( ~ epred12_0
| epred24_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_416,c_0_417]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp19
| c2_1(a326) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp19
| c3_1(a326) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_457,negated_conjecture,
( ~ hskp19
| ~ c0_1(a326) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_458,negated_conjecture,
( ~ hskp24
| ~ c2_1(a341)
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_281]),c_0_282]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp24
| c2_1(a341)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_281]),c_0_282]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp27
| epred42_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_226]),c_0_227]),c_0_419]) ).
cnf(c_0_461,negated_conjecture,
( hskp4
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_420]),c_0_156])]) ).
cnf(c_0_462,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_421]) ).
cnf(c_0_463,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_422]) ).
cnf(c_0_464,negated_conjecture,
( hskp8
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_423]),c_0_156])]) ).
fof(c_0_465,plain,
( ~ epred10_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_466,negated_conjecture,
( ~ hskp18
| ~ c2_1(a325)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_424]),c_0_211]) ).
cnf(c_0_467,negated_conjecture,
( ~ hskp18
| c2_1(a325)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_207]),c_0_212]) ).
cnf(c_0_468,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred35_0 ),
inference(split_equiv,[status(thm)],[c_0_425]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp22
| ~ c1_1(a331) ),
c_0_426 ).
cnf(c_0_470,negated_conjecture,
( ~ hskp22
| ~ c3_1(a331) ),
c_0_427 ).
cnf(c_0_471,negated_conjecture,
( hskp22
| hskp16
| hskp5 ),
clause40 ).
cnf(c_0_472,negated_conjecture,
( ~ hskp22
| ~ c2_1(a331) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
fof(c_0_473,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp22 ) ),
introduced(definition) ).
cnf(c_0_474,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| hskp11
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_475,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp8 ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_476,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp3 ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_477,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| hskp11 ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_478,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_479,negated_conjecture,
( ~ epred6_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_428,c_0_296]),c_0_153]) ).
cnf(c_0_480,negated_conjecture,
( epred6_0
| epred27_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp21
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_208]),c_0_433]),c_0_434]) ).
cnf(c_0_482,negated_conjecture,
( hskp21
| epred18_0
| epred27_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_483,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp21
| c2_1(X1)
| epred30_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_437]),c_0_156])]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp27
| ~ c3_1(a368)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_208]),c_0_227]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp27
| c3_1(a368)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_226]),c_0_227]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp27
| c3_1(a368)
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_209]),c_0_227]) ).
cnf(c_0_487,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c1_1(X1) ),
c_0_438 ).
cnf(c_0_488,negated_conjecture,
( ~ hskp3
| epred29_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_439]) ).
cnf(c_0_489,negated_conjecture,
( hskp21
| hskp3
| epred34_0 ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_490,negated_conjecture,
( ~ epred6_0
| epred34_0
| epred39_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_443]) ).
cnf(c_0_491,negated_conjecture,
( epred6_0
| epred34_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_444]),c_0_389]) ).
cnf(c_0_492,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_493,negated_conjecture,
( epred1_0
| epred27_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp13
| epred2_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_360,c_0_294]) ).
cnf(c_0_495,negated_conjecture,
( hskp13
| epred7_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_361,c_0_447]) ).
cnf(c_0_496,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_497,negated_conjecture,
( ~ epred16_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_448,c_0_178]),c_0_313]) ).
cnf(c_0_498,negated_conjecture,
( epred16_0
| epred26_0
| epred29_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp3
| epred29_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_404]) ).
cnf(c_0_500,negated_conjecture,
( hskp3
| epred24_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_453]),c_0_454]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp19
| c2_1(a326) ),
c_0_455 ).
cnf(c_0_502,negated_conjecture,
( ~ hskp19
| c3_1(a326) ),
c_0_456 ).
cnf(c_0_503,negated_conjecture,
( ~ hskp19
| ~ c0_1(a326) ),
c_0_457 ).
cnf(c_0_504,negated_conjecture,
( ~ hskp23
| c0_1(a337)
| epred42_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_274]),c_0_272]) ).
cnf(c_0_505,negated_conjecture,
( ~ hskp24
| epred16_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_506,negated_conjecture,
( hskp24
| hskp23
| epred42_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_333]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp12
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_359]),c_0_269]),c_0_270]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp4
| ~ c2_1(a295) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
fof(c_0_509,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_510,negated_conjecture,
( ~ hskp4
| c0_1(a295) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp4
| ~ c3_1(a295) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp20
| hskp4
| c3_1(a329)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_461]),c_0_170]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp13
| hskp4
| c3_1(a308)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_461]),c_0_192]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp5
| ~ c3_1(a297)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_365]),c_0_366]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp5
| c3_1(a297)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_366]),c_0_367]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp20
| hskp8
| c3_1(a329)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_464]),c_0_196]) ).
cnf(c_0_517,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_465]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp18
| epred2_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp3
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_424]),c_0_203]),c_0_202]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp5
| ~ c3_1(a297)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_366]),c_0_367]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp22
| hskp3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_171]),c_0_470]) ).
cnf(c_0_522,negated_conjecture,
( hskp22
| hskp16
| epred16_0 ),
inference(spm,[status(thm)],[c_0_409,c_0_471]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp22
| ~ c2_1(a331) ),
c_0_472 ).
cnf(c_0_524,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp22
| c3_1(X1)
| epred17_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_473]),c_0_156])]) ).
fof(c_0_525,plain,
( ~ epred37_0
<=> ! [X3] :
( ~ c1_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_526,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp7 ) ),
introduced(definition) ).
fof(c_0_527,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp11
| c1_1(a306) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp11
| c3_1(a306) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp11
| ~ c0_1(a306) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_531,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp12
| hskp11
| c3_1(X1)
| c0_1(X1) ),
c_0_474 ).
cnf(c_0_532,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp8
| hskp15
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_533,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp28
| hskp8 ),
c_0_475 ).
cnf(c_0_534,negated_conjecture,
( ~ hskp9
| c1_1(a304) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp9
| c0_1(a304) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp9
| ~ c2_1(a304) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
cnf(c_0_537,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp3 ),
c_0_476 ).
cnf(c_0_538,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp25
| hskp11 ),
c_0_477 ).
cnf(c_0_539,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp21
| c2_1(X2) ),
c_0_478 ).
cnf(c_0_540,negated_conjecture,
( ~ epred18_0
| epred27_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_541,negated_conjecture,
( epred18_0
| epred27_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp23
| ~ c0_1(a337)
| hskp21
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_273]),c_0_272]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp23
| c0_1(a337)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_208]),c_0_273]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp27
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp24
| epred43_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_281]),c_0_282]),c_0_283]) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp27
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_486]) ).
cnf(c_0_547,negated_conjecture,
( ~ epred29_0
| ~ epred43_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_487,c_0_254]),c_0_266]),c_0_213]) ).
cnf(c_0_548,negated_conjecture,
( epred29_0
| epred34_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_481]) ).
cnf(c_0_549,negated_conjecture,
( epred34_0
| epred39_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_490,c_0_491]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp3
| epred27_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_306,c_0_291]) ).
cnf(c_0_551,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_492 ).
cnf(c_0_552,negated_conjecture,
( ~ epred2_0
| epred27_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_493]) ).
cnf(c_0_553,negated_conjecture,
( epred2_0
| epred7_0
| epred27_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_554,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c0_1(X2) ),
c_0_496 ).
cnf(c_0_555,negated_conjecture,
( ~ epred24_0
| epred26_0
| epred29_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_498]) ).
cnf(c_0_556,negated_conjecture,
( epred24_0
| epred29_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_557,negated_conjecture,
( ~ hskp19
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_501]),c_0_502]),c_0_503]) ).
cnf(c_0_558,negated_conjecture,
( hskp12
| hskp19
| hskp7 ),
clause37 ).
cnf(c_0_559,negated_conjecture,
( ~ hskp23
| epred41_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_504]) ).
cnf(c_0_560,negated_conjecture,
( hskp23
| epred16_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_505,c_0_506]) ).
cnf(c_0_561,negated_conjecture,
( hskp23
| hskp2
| epred38_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_376]) ).
cnf(c_0_562,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c1_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)],[clause196]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp4
| ~ c2_1(a295) ),
c_0_508 ).
cnf(c_0_564,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_509]),c_0_156])]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp4
| c0_1(a295) ),
c_0_510 ).
cnf(c_0_566,negated_conjecture,
( ~ hskp4
| ~ c3_1(a295) ),
c_0_511 ).
cnf(c_0_567,negated_conjecture,
( ~ hskp20
| hskp4
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_512]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp13
| hskp4
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_513]) ).
cnf(c_0_569,negated_conjecture,
( ~ hskp5
| epred8_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp16
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_369]),c_0_370]),c_0_371]) ).
cnf(c_0_571,negated_conjecture,
( hskp13
| hskp3
| epred1_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_362]) ).
fof(c_0_572,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp1 ) ),
introduced(definition) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp20
| hskp8
| epred6_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_205,c_0_516]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp27
| ~ c3_1(a368)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_226]),c_0_419]) ).
cnf(c_0_575,negated_conjecture,
( hskp13
| hskp8
| epred2_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_261]) ).
cnf(c_0_576,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| epred1_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_519,c_0_171]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp5
| epred8_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_515]) ).
cnf(c_0_578,negated_conjecture,
( hskp16
| hskp3
| epred1_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_521,c_0_522]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp22
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_207]),c_0_523]),c_0_470]) ).
cnf(c_0_580,negated_conjecture,
( ~ hskp15
| c1_1(a311) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp15
| c0_1(a311) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
fof(c_0_582,plain,
( ~ epred45_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp15
| ~ c3_1(a311) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp5
| c3_1(a297)
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_365]),c_0_367]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp3
| hskp22
| c3_1(a294)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_202]),c_0_203]) ).
cnf(c_0_586,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred37_0 ),
inference(split_equiv,[status(thm)],[c_0_525]) ).
cnf(c_0_587,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp7
| c3_1(X1)
| epred25_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_526]),c_0_156])]) ).
fof(c_0_588,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp9 ) ),
introduced(definition) ).
fof(c_0_589,plain,
( ~ epred20_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_590,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_527]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp11
| c1_1(a306) ),
c_0_528 ).
cnf(c_0_592,negated_conjecture,
( ~ hskp11
| c3_1(a306) ),
c_0_529 ).
cnf(c_0_593,negated_conjecture,
( ~ hskp11
| ~ c0_1(a306) ),
c_0_530 ).
cnf(c_0_594,negated_conjecture,
( ~ c1_1(X1)
| hskp12
| hskp11
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_156])]) ).
cnf(c_0_595,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp23
| hskp8
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_596,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp9
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause160]) ).
cnf(c_0_597,negated_conjecture,
( ~ ndr1_0
| hskp28
| hskp4
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_598,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp8
| hskp15
| c3_1(X1)
| c0_1(X1) ),
c_0_532 ).
cnf(c_0_599,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp4
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_600,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| hskp24
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
fof(c_0_601,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_602,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| hskp13
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp28
| c1_1(a296) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp28
| c2_1(a296) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_605,negated_conjecture,
( ~ hskp28
| c3_1(a296) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_606,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| hskp28
| hskp8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_533,c_0_156])]) ).
cnf(c_0_607,negated_conjecture,
( ~ hskp9
| c1_1(a304) ),
c_0_534 ).
cnf(c_0_608,negated_conjecture,
( ~ hskp9
| c0_1(a304) ),
c_0_535 ).
cnf(c_0_609,negated_conjecture,
( ~ hskp9
| ~ c2_1(a304) ),
c_0_536 ).
cnf(c_0_610,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp26
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_156])]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp25
| c3_1(a353) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_612,negated_conjecture,
( ~ hskp25
| ~ c0_1(a353) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_613,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp25
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_156])]) ).
cnf(c_0_614,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_615,negated_conjecture,
( ~ epred27_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_539,c_0_437]),c_0_164]) ).
cnf(c_0_616,negated_conjecture,
( epred27_0
| epred33_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_617,negated_conjecture,
( ~ hskp23
| epred30_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_543]),c_0_481]) ).
cnf(c_0_618,negated_conjecture,
( hskp23
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_333]),c_0_545]) ).
cnf(c_0_619,negated_conjecture,
( hskp24
| hskp23
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_546,c_0_333]) ).
cnf(c_0_620,negated_conjecture,
( ~ epred43_0
| epred34_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_549]) ).
cnf(c_0_621,negated_conjecture,
( epred27_0
| epred34_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_489]),c_0_481]) ).
cnf(c_0_622,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_623,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_551,c_0_312]),c_0_422]) ).
cnf(c_0_624,negated_conjecture,
( epred7_0
| epred27_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_552,c_0_553]) ).
cnf(c_0_625,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_554,c_0_317]),c_0_164]) ).
cnf(c_0_626,negated_conjecture,
( epred26_0
| epred29_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_627,negated_conjecture,
( hskp12
| hskp7
| epred35_0 ),
inference(spm,[status(thm)],[c_0_557,c_0_558]) ).
cnf(c_0_628,negated_conjecture,
( epred16_0
| epred41_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_559,c_0_560]) ).
cnf(c_0_629,negated_conjecture,
( hskp2
| epred24_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_561]) ).
cnf(c_0_630,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp4
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_631,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c3_1(X2) ),
c_0_562 ).
cnf(c_0_632,negated_conjecture,
( ~ hskp4
| epred40_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_565]),c_0_566]) ).
cnf(c_0_633,negated_conjecture,
( hskp4
| epred6_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_252]),c_0_568]),c_0_288]) ).
cnf(c_0_634,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_635,negated_conjecture,
( ~ hskp22
| hskp4
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_461]),c_0_523]),c_0_470]) ).
cnf(c_0_636,negated_conjecture,
( hskp22
| epred8_0
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_471]),c_0_570]) ).
cnf(c_0_637,negated_conjecture,
( ~ hskp18
| ~ c2_1(a325)
| epred38_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_359]),c_0_212]) ).
cnf(c_0_638,negated_conjecture,
( ~ hskp3
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_404]) ).
cnf(c_0_639,negated_conjecture,
( hskp3
| epred1_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_250]),c_0_571]) ).
cnf(c_0_640,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp1
| c3_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_572]),c_0_156])]) ).
cnf(c_0_641,negated_conjecture,
( ~ hskp3
| epred6_0
| epred9_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_358]),c_0_355]) ).
cnf(c_0_642,negated_conjecture,
( ~ hskp6
| c2_1(a298) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_643,negated_conjecture,
( ~ hskp6
| ~ c0_1(a298) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_644,negated_conjecture,
( ~ hskp6
| ~ c1_1(a298) ),
inference(fof_simplification,[status(thm)],[clause130]) ).
cnf(c_0_645,negated_conjecture,
( ~ hskp2
| ~ c0_1(a293)
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_262]),c_0_245]) ).
cnf(c_0_646,negated_conjecture,
( ~ hskp2
| c0_1(a293)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_247]),c_0_246]) ).
cnf(c_0_647,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_648,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| epred8_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_209]) ).
cnf(c_0_649,negated_conjecture,
( ~ hskp27
| epred10_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_486]) ).
cnf(c_0_650,negated_conjecture,
( ~ hskp23
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_274]),c_0_273]),c_0_272]) ).
cnf(c_0_651,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_652,negated_conjecture,
( ~ hskp13
| epred2_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_294]) ).
cnf(c_0_653,negated_conjecture,
( hskp13
| epred2_0
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_575]) ).
cnf(c_0_654,negated_conjecture,
( ~ hskp22
| epred1_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_576]),c_0_470]) ).
cnf(c_0_655,negated_conjecture,
( hskp22
| epred8_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_471]),c_0_570]) ).
cnf(c_0_656,negated_conjecture,
( hskp16
| epred1_0
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_519,c_0_578]) ).
cnf(c_0_657,negated_conjecture,
( hskp16
| epred2_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_522]) ).
cnf(c_0_658,negated_conjecture,
( ~ hskp29
| c2_1(a301) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_659,negated_conjecture,
( ~ hskp15
| c1_1(a311) ),
c_0_580 ).
cnf(c_0_660,negated_conjecture,
( ~ hskp15
| c0_1(a311) ),
c_0_581 ).
cnf(c_0_661,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred45_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_582]),c_0_156])]) ).
cnf(c_0_662,negated_conjecture,
( ~ hskp15
| ~ c3_1(a311) ),
c_0_583 ).
cnf(c_0_663,negated_conjecture,
( ~ hskp5
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_520,c_0_584]) ).
cnf(c_0_664,negated_conjecture,
( ~ hskp3
| hskp22
| epred17_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_585]) ).
cnf(c_0_665,negated_conjecture,
( ~ hskp0
| ~ c0_1(a291)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_564]),c_0_240]) ).
cnf(c_0_666,negated_conjecture,
( ~ hskp0
| c0_1(a291)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_238]),c_0_240]) ).
cnf(c_0_667,negated_conjecture,
( ~ hskp0
| ~ c0_1(a291)
| hskp7
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_238]),c_0_240]) ).
cnf(c_0_668,negated_conjecture,
( ~ hskp0
| hskp8
| c0_1(a291)
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_464]),c_0_240]) ).
cnf(c_0_669,negated_conjecture,
( ~ hskp0
| hskp7
| c0_1(a291)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_238]),c_0_240]) ).
cnf(c_0_670,negated_conjecture,
( ~ hskp18
| hskp0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_211]),c_0_264]),c_0_212]) ).
cnf(c_0_671,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp9
| c3_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_588]),c_0_156])]) ).
cnf(c_0_672,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp16
| c1_1(X1)
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_589]),c_0_156])]) ).
cnf(c_0_673,negated_conjecture,
( ~ hskp11
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_592]),c_0_593]) ).
cnf(c_0_674,negated_conjecture,
( hskp12
| hskp11
| hskp3
| c0_1(X1)
| c3_1(X1) ),
inference(spm,[status(thm)],[c_0_594,c_0_195]) ).
cnf(c_0_675,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp23
| hskp8
| c3_1(X1)
| c1_1(X1) ),
c_0_595 ).
cnf(c_0_676,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp9
| c1_1(X1) ),
c_0_596 ).
cnf(c_0_677,negated_conjecture,
( ~ ndr1_0
| hskp28
| hskp4
| c3_1(X1)
| c1_1(X1)
| c0_1(X1) ),
c_0_597 ).
cnf(c_0_678,negated_conjecture,
( ~ c2_1(X1)
| hskp15
| hskp8
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_598,c_0_156])]) ).
cnf(c_0_679,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp6
| hskp4
| c2_1(X1)
| c0_1(X1) ),
c_0_599 ).
cnf(c_0_680,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp16
| hskp24
| c1_1(X1) ),
c_0_600 ).
cnf(c_0_681,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp14
| c3_1(X1)
| epred19_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_601]),c_0_156])]) ).
cnf(c_0_682,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| hskp13
| c0_1(X1) ),
c_0_602 ).
cnf(c_0_683,negated_conjecture,
( ~ hskp28
| c1_1(a296) ),
c_0_603 ).
cnf(c_0_684,negated_conjecture,
( ~ hskp28
| c2_1(a296) ),
c_0_604 ).
cnf(c_0_685,negated_conjecture,
( ~ hskp28
| c3_1(a296) ),
c_0_605 ).
cnf(c_0_686,negated_conjecture,
( ~ hskp9
| ~ c3_1(a304)
| hskp28
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_607]),c_0_608]) ).
cnf(c_0_687,negated_conjecture,
( ~ hskp9
| c3_1(a304)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_564]),c_0_608]) ).
cnf(c_0_688,negated_conjecture,
( ~ hskp31
| hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_230]),c_0_231]),c_0_232]),c_0_399]) ).
cnf(c_0_689,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred35_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_208]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp25
| c3_1(a353) ),
c_0_611 ).
cnf(c_0_691,negated_conjecture,
( ~ hskp25
| ~ c0_1(a353) ),
c_0_612 ).
cnf(c_0_692,negated_conjecture,
( ~ hskp1
| ~ c0_1(a292)
| hskp25
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_323]),c_0_324]) ).
cnf(c_0_693,negated_conjecture,
( ~ hskp1
| c0_1(a292)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_323]),c_0_324]) ).
cnf(c_0_694,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_614 ).
cnf(c_0_695,negated_conjecture,
( ~ epred30_0
| epred33_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_696,negated_conjecture,
( epred30_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_617,c_0_618]) ).
cnf(c_0_697,negated_conjecture,
( hskp23
| epred34_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_619]),c_0_620]) ).
cnf(c_0_698,negated_conjecture,
( ~ epred30_0
| epred34_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_615,c_0_621]) ).
cnf(c_0_699,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
c_0_622 ).
cnf(c_0_700,negated_conjecture,
( ~ epred8_0
| epred27_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_623,c_0_624]) ).
cnf(c_0_701,negated_conjecture,
( epred8_0
| epred29_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_570,c_0_450]) ).
cnf(c_0_702,negated_conjecture,
( ~ epred27_0
| epred29_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_625,c_0_626]) ).
cnf(c_0_703,negated_conjecture,
( hskp7
| epred35_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_627]) ).
cnf(c_0_704,negated_conjecture,
( ~ epred24_0
| epred41_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_497,c_0_628]) ).
cnf(c_0_705,negated_conjecture,
( epred24_0
| epred38_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_629]),c_0_454]) ).
cnf(c_0_706,negated_conjecture,
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| hskp4
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2) ),
c_0_630 ).
cnf(c_0_707,negated_conjecture,
( ~ epred6_0
| ~ epred45_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_631,c_0_582]),c_0_153]),c_0_421]) ).
cnf(c_0_708,negated_conjecture,
( epred6_0
| epred13_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_709,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c3_1(X1) ),
c_0_634 ).
cnf(c_0_710,negated_conjecture,
( hskp4
| epred8_0
| epred13_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_636]) ).
cnf(c_0_711,negated_conjecture,
( ~ hskp22
| ~ c0_1(a331)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_564]),c_0_470]) ).
cnf(c_0_712,negated_conjecture,
( ~ hskp22
| hskp3
| c0_1(a331) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_195]),c_0_470]) ).
cnf(c_0_713,negated_conjecture,
( ~ hskp12
| ~ c0_1(a307)
| hskp22
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_269]),c_0_270]) ).
cnf(c_0_714,negated_conjecture,
( ~ hskp18
| epred2_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_637,c_0_467]) ).
cnf(c_0_715,negated_conjecture,
( epred1_0
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_638,c_0_639]) ).
fof(c_0_716,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_717,negated_conjecture,
( hskp0
| hskp23
| hskp3 ),
clause35 ).
fof(c_0_718,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_719,negated_conjecture,
( ~ hskp31
| ~ c3_1(a367)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_232]),c_0_231]) ).
cnf(c_0_720,negated_conjecture,
( ~ hskp31
| hskp1
| c3_1(a367)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_230]),c_0_231]) ).
fof(c_0_721,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp15 ) ),
introduced(definition) ).
cnf(c_0_722,negated_conjecture,
( ~ hskp14
| c2_1(a309) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_723,negated_conjecture,
( ~ hskp14
| c0_1(a309) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_724,negated_conjecture,
( ~ hskp14
| ~ c3_1(a309) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
fof(c_0_725,plain,
( ~ epred15_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_726,negated_conjecture,
( epred1_0
| epred6_0
| epred9_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_641,c_0_341]) ).
cnf(c_0_727,negated_conjecture,
( ~ hskp6
| c2_1(a298) ),
c_0_642 ).
cnf(c_0_728,negated_conjecture,
( ~ hskp6
| ~ c0_1(a298) ),
c_0_643 ).
cnf(c_0_729,negated_conjecture,
( ~ hskp6
| ~ c1_1(a298) ),
c_0_644 ).
cnf(c_0_730,negated_conjecture,
( ~ hskp3
| epred4_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_358]) ).
cnf(c_0_731,negated_conjecture,
( hskp13
| hskp2
| epred4_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_252]) ).
cnf(c_0_732,negated_conjecture,
( ~ hskp2
| epred4_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_733,negated_conjecture,
( ~ c2_1(X3)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_647 ).
cnf(c_0_734,negated_conjecture,
( ~ hskp24
| epred8_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_648]),c_0_282]) ).
cnf(c_0_735,negated_conjecture,
( hskp24
| epred10_0
| epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_649,c_0_333]),c_0_650]) ).
cnf(c_0_736,negated_conjecture,
( ~ hskp20
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_412,c_0_253]) ).
cnf(c_0_737,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7
| c1_1(X2)
| c3_1(X1) ),
c_0_651 ).
cnf(c_0_738,negated_conjecture,
( epred1_0
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_519,c_0_639]) ).
cnf(c_0_739,negated_conjecture,
( epred2_0
| epred21_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_652,c_0_653]) ).
cnf(c_0_740,negated_conjecture,
( epred1_0
| epred8_0
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_741,negated_conjecture,
( epred2_0
| epred8_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_655]) ).
cnf(c_0_742,negated_conjecture,
( epred1_0
| epred8_0
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_570,c_0_656]) ).
cnf(c_0_743,negated_conjecture,
( epred2_0
| epred8_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_570,c_0_657]) ).
cnf(c_0_744,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_745,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_746,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_747,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_748,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp9
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_749,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_750,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp16
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_751,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp22
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_752,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_753,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_754,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| hskp3
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_322]),c_0_399]) ).
cnf(c_0_755,negated_conjecture,
( ~ hskp29
| c2_1(a301) ),
c_0_658 ).
cnf(c_0_756,negated_conjecture,
( ~ hskp15
| ~ c2_1(a311)
| hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_659]),c_0_660]),c_0_399]) ).
cnf(c_0_757,negated_conjecture,
( ~ hskp24
| ~ c2_1(a341)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_281]),c_0_283]) ).
cnf(c_0_758,negated_conjecture,
( ~ hskp15
| ~ c2_1(a311)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_659]),c_0_662]) ).
cnf(c_0_759,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred38_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_359]) ).
cnf(c_0_760,negated_conjecture,
( hskp22
| hskp16
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_663,c_0_471]) ).
cnf(c_0_761,negated_conjecture,
( ~ hskp3
| hskp4
| epred13_0
| epred17_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_635,c_0_664]) ).
cnf(c_0_762,negated_conjecture,
( ~ hskp0
| epred37_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_665,c_0_666]) ).
cnf(c_0_763,negated_conjecture,
( ~ hskp3
| hskp0
| epred3_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_284]) ).
cnf(c_0_764,negated_conjecture,
( ~ hskp24
| c2_1(a341)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_281]),c_0_283]) ).
cnf(c_0_765,negated_conjecture,
( ~ hskp0
| hskp8
| hskp7
| epred9_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_766,negated_conjecture,
( ~ hskp3
| hskp0
| epred3_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_284]) ).
cnf(c_0_767,negated_conjecture,
( ~ hskp0
| hskp7
| epred11_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_667,c_0_669]) ).
cnf(c_0_768,negated_conjecture,
( hskp13
| hskp8
| hskp0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_670,c_0_261]) ).
cnf(c_0_769,negated_conjecture,
( ~ hskp15
| ~ c2_1(a311)
| hskp9
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_671,c_0_659]),c_0_662]) ).
cnf(c_0_770,negated_conjecture,
( ~ hskp7
| hskp16
| c1_1(a299)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_277]),c_0_276]) ).
cnf(c_0_771,negated_conjecture,
( ~ c2_1(X1)
| hskp3
| c0_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_364,c_0_195]) ).
cnf(c_0_772,negated_conjecture,
( ~ hskp8
| ~ c2_1(a300)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_322]),c_0_305]) ).
cnf(c_0_773,negated_conjecture,
( hskp12
| hskp3
| c0_1(X1)
| c3_1(X1)
| epred14_0 ),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp11
| c2_1(a306)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_591]),c_0_592]) ).
cnf(c_0_775,negated_conjecture,
( ~ c2_1(X1)
| hskp23
| hskp8
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_675,c_0_156])]) ).
cnf(c_0_776,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp12
| hskp9
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_156])]) ).
cnf(c_0_777,negated_conjecture,
( hskp28
| hskp4
| c0_1(X1)
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_677,c_0_156])]) ).
cnf(c_0_778,negated_conjecture,
( hskp15
| hskp8
| c0_1(X1)
| c3_1(X1)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_678,c_0_464]) ).
cnf(c_0_779,negated_conjecture,
( ~ c1_1(X1)
| hskp6
| hskp4
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_679,c_0_156])]) ).
cnf(c_0_780,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp28
| hskp8
| epred44_0 ),
inference(spm,[status(thm)],[c_0_606,c_0_262]) ).
cnf(c_0_781,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp16
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_680,c_0_156])]) ).
cnf(c_0_782,negated_conjecture,
( ~ c0_1(X1)
| hskp14
| c3_1(X1)
| epred19_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_681,c_0_564]) ).
cnf(c_0_783,negated_conjecture,
( hskp8
| c0_1(X1)
| c3_1(X1)
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_784,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp16
| hskp13
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_682,c_0_156])]) ).
cnf(c_0_785,negated_conjecture,
( ~ hskp28
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_683]),c_0_684]),c_0_685]) ).
cnf(c_0_786,negated_conjecture,
( ~ hskp9
| hskp28
| hskp8
| epred40_0 ),
inference(spm,[status(thm)],[c_0_686,c_0_687]) ).
cnf(c_0_787,negated_conjecture,
( hskp27
| hskp24
| hskp3 ),
inference(spm,[status(thm)],[c_0_688,c_0_147]) ).
cnf(c_0_788,negated_conjecture,
( ~ hskp28
| ~ c0_1(a296)
| hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_683]),c_0_684]),c_0_399]) ).
cnf(c_0_789,negated_conjecture,
( ~ hskp28
| c0_1(a296)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_684]),c_0_685]) ).
cnf(c_0_790,negated_conjecture,
( ~ hskp25
| epred35_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_690]),c_0_691]) ).
cnf(c_0_791,negated_conjecture,
( ~ hskp1
| hskp25
| hskp11
| epred35_0 ),
inference(spm,[status(thm)],[c_0_692,c_0_693]) ).
cnf(c_0_792,negated_conjecture,
( ~ hskp11
| epred35_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_689,c_0_592]),c_0_593]) ).
cnf(c_0_793,negated_conjecture,
( ~ epred33_0
| ~ epred34_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_694,c_0_187]),c_0_174]),c_0_425]) ).
cnf(c_0_794,negated_conjecture,
( epred33_0
| epred39_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_695,c_0_696]) ).
cnf(c_0_795,negated_conjecture,
( epred34_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_617,c_0_697]),c_0_698]) ).
cnf(c_0_796,negated_conjecture,
( ~ epred29_0
| ~ epred35_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_699,c_0_380]),c_0_266]),c_0_425]) ).
cnf(c_0_797,negated_conjecture,
( epred29_0
| epred38_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_701]),c_0_702]) ).
cnf(c_0_798,negated_conjecture,
( epred35_0
| epred38_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_703]) ).
cnf(c_0_799,negated_conjecture,
( epred38_0
| epred41_0
| epred42_0 ),
inference(spm,[status(thm)],[c_0_704,c_0_705]) ).
cnf(c_0_800,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_706,c_0_420]),c_0_527]) ).
cnf(c_0_801,negated_conjecture,
( ~ epred45_0
| ~ epred46_0
| epred13_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_707,c_0_708]) ).
cnf(c_0_802,negated_conjecture,
( ~ epred8_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_709,c_0_601]),c_0_422]) ).
cnf(c_0_803,negated_conjecture,
( epred8_0
| epred13_0
| epred40_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_710]) ).
cnf(c_0_804,negated_conjecture,
( ~ hskp22
| hskp3
| epred40_0 ),
inference(spm,[status(thm)],[c_0_711,c_0_712]) ).
cnf(c_0_805,negated_conjecture,
( ~ hskp12
| hskp22
| hskp3
| epred17_0 ),
inference(spm,[status(thm)],[c_0_713,c_0_327]) ).
cnf(c_0_806,negated_conjecture,
( ~ hskp13
| c3_1(a308)
| epred40_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_564]),c_0_194]) ).
cnf(c_0_807,negated_conjecture,
( hskp13
| hskp8
| epred2_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_714,c_0_261]) ).
cnf(c_0_808,negated_conjecture,
( ~ epred2_0
| epred38_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_715]) ).
cnf(c_0_809,negated_conjecture,
( ~ hskp9
| ~ c3_1(a304)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_607]),c_0_609]) ).
cnf(c_0_810,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_716]),c_0_156])]) ).
cnf(c_0_811,negated_conjecture,
( hskp23
| hskp3
| epred33_0 ),
inference(spm,[status(thm)],[c_0_285,c_0_717]) ).
cnf(c_0_812,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp4
| c2_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_718]),c_0_156])]) ).
cnf(c_0_813,negated_conjecture,
( ~ hskp31
| hskp1
| epred27_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_719,c_0_720]) ).
cnf(c_0_814,negated_conjecture,
( ~ hskp8
| hskp16
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_305]),c_0_304]),c_0_303]) ).
cnf(c_0_815,negated_conjecture,
( ~ hskp13
| hskp16
| hskp3
| epred1_0
| epred20_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_250]),c_0_194]),c_0_191]) ).
cnf(c_0_816,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp15
| c2_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_721]),c_0_156])]) ).
cnf(c_0_817,negated_conjecture,
( ~ hskp14
| c2_1(a309) ),
c_0_722 ).
cnf(c_0_818,negated_conjecture,
( ~ hskp14
| c0_1(a309) ),
c_0_723 ).
cnf(c_0_819,negated_conjecture,
( ~ hskp14
| ~ c3_1(a309) ),
c_0_724 ).
cnf(c_0_820,negated_conjecture,
( ~ c1_1(X1)
| hskp29
| c0_1(X1)
| c2_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_725]),c_0_156])]) ).
cnf(c_0_821,negated_conjecture,
( epred6_0
| epred9_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_726]),c_0_389]) ).
cnf(c_0_822,negated_conjecture,
( hskp13
| epred7_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_355,c_0_447]) ).
cnf(c_0_823,negated_conjecture,
( hskp20
| hskp7
| hskp3
| epred35_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_627]) ).
cnf(c_0_824,negated_conjecture,
( ~ hskp6
| ~ c3_1(a298)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_727]),c_0_728]) ).
cnf(c_0_825,negated_conjecture,
( ~ hskp6
| hskp3
| c3_1(a298) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_195]),c_0_728]) ).
cnf(c_0_826,negated_conjecture,
( ~ hskp6
| ~ c3_1(a298)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_322]),c_0_727]) ).
cnf(c_0_827,negated_conjecture,
( epred1_0
| epred4_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_730,c_0_639]) ).
cnf(c_0_828,negated_conjecture,
( epred2_0
| epred4_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_731]),c_0_732]) ).
cnf(c_0_829,negated_conjecture,
( ~ epred8_0
| ~ epred40_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_733,c_0_509]),c_0_422]),c_0_214]) ).
cnf(c_0_830,negated_conjecture,
( epred8_0
| epred10_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_734,c_0_735]) ).
cnf(c_0_831,negated_conjecture,
( ~ hskp28
| ~ c0_1(a296)
| hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_683]),c_0_684]) ).
cnf(c_0_832,negated_conjecture,
( hskp13
| hskp2
| epred2_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_736,c_0_252]) ).
cnf(c_0_833,negated_conjecture,
( ~ hskp2
| epred12_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_645,c_0_415]) ).
cnf(c_0_834,negated_conjecture,
( ~ epred21_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_737,c_0_526]),c_0_382]) ).
cnf(c_0_835,negated_conjecture,
( epred21_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_738]),c_0_739]) ).
cnf(c_0_836,negated_conjecture,
( hskp20
| hskp19
| hskp24 ),
clause42 ).
cnf(c_0_837,negated_conjecture,
( epred8_0
| epred21_0
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_740]),c_0_741]) ).
cnf(c_0_838,negated_conjecture,
( ~ hskp8
| c2_1(a300)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_169]),c_0_305]) ).
cnf(c_0_839,negated_conjecture,
( ~ hskp28
| ~ c0_1(a296)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_684]),c_0_685]) ).
cnf(c_0_840,negated_conjecture,
( ~ hskp28
| c0_1(a296)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_683]),c_0_685]) ).
cnf(c_0_841,negated_conjecture,
( epred8_0
| epred16_0
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_742]),c_0_743]) ).
cnf(c_0_842,negated_conjecture,
( ~ c3_1(X1)
| c2_1(X1)
| epred6_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_517,c_0_169]) ).
cnf(c_0_843,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_744 ).
cnf(c_0_844,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_745 ).
cnf(c_0_845,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp4
| c2_1(X2) ),
c_0_746 ).
cnf(c_0_846,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp1
| c1_1(X2)
| c3_1(X1) ),
c_0_747 ).
cnf(c_0_847,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp9
| c1_1(X2)
| c3_1(X1) ),
c_0_748 ).
cnf(c_0_848,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2)
| c2_1(X1) ),
c_0_749 ).
cnf(c_0_849,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp16
| c1_1(X2)
| c1_1(X1) ),
c_0_750 ).
cnf(c_0_850,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp22
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_751 ).
cnf(c_0_851,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_752 ).
cnf(c_0_852,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp8
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_753 ).
cnf(c_0_853,negated_conjecture,
( ~ hskp29
| c3_1(a301) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_854,negated_conjecture,
( ~ hskp29
| c0_1(a301) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_855,negated_conjecture,
( ~ hskp29
| ~ c0_1(a301)
| ~ c3_1(a301)
| hskp3
| epred29_0 ),
inference(spm,[status(thm)],[c_0_754,c_0_755]) ).
cnf(c_0_856,negated_conjecture,
( ~ c0_1(a311)
| ~ hskp15
| c3_1(a311)
| epred40_0
| hskp3 ),
inference(spm,[status(thm)],[c_0_756,c_0_564]) ).
cnf(c_0_857,negated_conjecture,
( ~ hskp24
| hskp8
| c0_1(a341)
| c3_1(a341)
| epred9_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_757,c_0_464]) ).
cnf(c_0_858,negated_conjecture,
( ~ c0_1(a311)
| ~ hskp15
| c3_1(a311)
| epred40_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_758,c_0_564]) ).
cnf(c_0_859,negated_conjecture,
( ~ hskp16
| c0_1(a315)
| c3_1(a315)
| epred38_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_759,c_0_369]) ).
cnf(c_0_860,negated_conjecture,
( hskp16
| epred35_0
| epred43_0
| hskp3
| epred1_0 ),
inference(spm,[status(thm)],[c_0_521,c_0_760]) ).
cnf(c_0_861,negated_conjecture,
( ~ hskp3
| epred13_0
| epred17_0
| epred29_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_632,c_0_761]) ).
cnf(c_0_862,negated_conjecture,
( ~ hskp3
| epred3_0
| epred29_0
| epred37_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_762,c_0_763]) ).
cnf(c_0_863,negated_conjecture,
( ~ hskp24
| epred33_0
| c0_1(a341)
| c3_1(a341)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_764]) ).
cnf(c_0_864,negated_conjecture,
( ~ hskp3
| epred3_0
| epred44_0
| hskp8
| hskp7
| epred9_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_765,c_0_766]) ).
cnf(c_0_865,negated_conjecture,
( ~ hskp3
| epred3_0
| epred29_0
| hskp8
| hskp7
| epred9_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_765,c_0_763]) ).
cnf(c_0_866,negated_conjecture,
( hskp13
| hskp8
| epred3_0
| hskp7
| epred11_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_767,c_0_768]) ).
cnf(c_0_867,negated_conjecture,
( ~ c0_1(a311)
| ~ hskp15
| c3_1(a311)
| epred40_0
| hskp9
| epred23_0 ),
inference(spm,[status(thm)],[c_0_769,c_0_564]) ).
cnf(c_0_868,negated_conjecture,
( ~ hskp7
| ~ c0_1(a299)
| ~ c3_1(a299)
| hskp16
| epred20_0
| hskp28
| hskp8 ),
inference(spm,[status(thm)],[c_0_606,c_0_770]) ).
cnf(c_0_869,negated_conjecture,
( ~ hskp7
| ~ c3_1(a299)
| hskp16
| epred20_0
| c2_1(a299)
| epred10_0 ),
inference(spm,[status(thm)],[c_0_517,c_0_770]) ).
cnf(c_0_870,negated_conjecture,
( ~ hskp16
| hskp3
| c0_1(a315)
| c3_1(a315)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_771,c_0_369]) ).
cnf(c_0_871,negated_conjecture,
( ~ c0_1(a300)
| ~ c3_1(a300)
| ~ hskp8
| epred41_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_772,c_0_263]) ).
cnf(c_0_872,negated_conjecture,
( ~ hskp24
| hskp12
| hskp3
| c0_1(a341)
| epred14_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_773]) ).
cnf(c_0_873,negated_conjecture,
( ~ hskp11
| ~ c3_1(a306)
| epred10_0
| c0_1(a306)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_774]) ).
cnf(c_0_874,negated_conjecture,
( ~ hskp18
| epred2_0
| hskp23
| hskp8
| c1_1(a325)
| c3_1(a325) ),
inference(spm,[status(thm)],[c_0_775,c_0_467]) ).
cnf(c_0_875,negated_conjecture,
( ~ hskp13
| ~ c0_1(a308)
| epred2_0
| hskp12
| hskp9
| c1_1(a308) ),
inference(spm,[status(thm)],[c_0_776,c_0_294]) ).
cnf(c_0_876,negated_conjecture,
( ~ hskp13
| ~ c0_1(a308)
| epred2_0
| hskp16
| c1_1(a308)
| epred20_0 ),
inference(spm,[status(thm)],[c_0_672,c_0_294]) ).
cnf(c_0_877,negated_conjecture,
( ~ hskp22
| hskp28
| hskp4
| c0_1(a331)
| c3_1(a331) ),
inference(spm,[status(thm)],[c_0_469,c_0_777]) ).
cnf(c_0_878,negated_conjecture,
( ~ hskp3
| hskp23
| hskp8
| c1_1(a294)
| c3_1(a294) ),
inference(spm,[status(thm)],[c_0_775,c_0_202]) ).
cnf(c_0_879,negated_conjecture,
( ~ hskp24
| hskp15
| hskp8
| c0_1(a341)
| epred9_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_778]) ).
cnf(c_0_880,negated_conjecture,
( ~ hskp16
| hskp15
| hskp8
| c0_1(a315)
| c3_1(a315) ),
inference(spm,[status(thm)],[c_0_678,c_0_369]) ).
cnf(c_0_881,negated_conjecture,
( ~ hskp24
| hskp12
| hskp11
| c0_1(a341)
| c3_1(a341) ),
inference(spm,[status(thm)],[c_0_594,c_0_281]) ).
cnf(c_0_882,negated_conjecture,
( ~ hskp27
| hskp6
| hskp4
| c0_1(a368)
| c2_1(a368) ),
inference(spm,[status(thm)],[c_0_779,c_0_226]) ).
cnf(c_0_883,negated_conjecture,
( ~ hskp24
| hskp6
| hskp4
| c0_1(a341)
| c2_1(a341) ),
inference(spm,[status(thm)],[c_0_779,c_0_281]) ).
cnf(c_0_884,negated_conjecture,
( ~ hskp7
| ~ c0_1(a299)
| hskp28
| hskp8
| epred44_0 ),
inference(spm,[status(thm)],[c_0_780,c_0_277]) ).
cnf(c_0_885,negated_conjecture,
( ~ hskp3
| ~ c0_1(a294)
| hskp24
| hskp16
| c1_1(a294) ),
inference(spm,[status(thm)],[c_0_781,c_0_202]) ).
cnf(c_0_886,negated_conjecture,
( ~ hskp15
| hskp14
| c3_1(a311)
| epred19_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_782,c_0_660]) ).
cnf(c_0_887,negated_conjecture,
( ~ hskp24
| hskp8
| c0_1(a341)
| epred8_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_783]) ).
cnf(c_0_888,negated_conjecture,
( ~ hskp28
| ~ c2_1(a296)
| hskp16
| hskp13
| c0_1(a296) ),
inference(spm,[status(thm)],[c_0_784,c_0_683]) ).
cnf(c_0_889,negated_conjecture,
( ~ hskp13
| ~ c0_1(a308)
| hskp3
| epred1_0
| hskp12
| hskp9
| c1_1(a308) ),
inference(spm,[status(thm)],[c_0_776,c_0_250]) ).
cnf(c_0_890,negated_conjecture,
( ~ hskp8
| ~ c0_1(a300)
| hskp12
| hskp9
| c1_1(a300) ),
inference(spm,[status(thm)],[c_0_776,c_0_305]) ).
cnf(c_0_891,negated_conjecture,
( ~ hskp9
| hskp8
| epred40_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_785,c_0_786]) ).
cnf(c_0_892,negated_conjecture,
( hskp24
| hskp3
| epred42_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_787]) ).
cnf(c_0_893,negated_conjecture,
( ~ hskp28
| hskp3
| epred35_0 ),
inference(spm,[status(thm)],[c_0_788,c_0_789]) ).
cnf(c_0_894,negated_conjecture,
( ~ hskp1
| epred35_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_791]),c_0_792]) ).
cnf(c_0_895,negated_conjecture,
( ~ epred35_0
| epred39_0
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_794]),c_0_795]) ).
cnf(c_0_896,negated_conjecture,
( hskp16
| epred2_0
| epred35_0
| epred43_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_760]) ).
cnf(c_0_897,negated_conjecture,
( epred38_0
| epred41_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_796,c_0_797]),c_0_798]),c_0_799]) ).
cnf(c_0_898,negated_conjecture,
( ~ epred14_0
| ~ epred45_0
| ~ epred46_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_800,c_0_801]) ).
cnf(c_0_899,negated_conjecture,
( ~ epred19_0
| epred13_0
| epred40_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_802,c_0_803]) ).
cnf(c_0_900,negated_conjecture,
( ~ hskp0
| hskp8
| epred9_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_665,c_0_668]) ).
cnf(c_0_901,negated_conjecture,
( ~ hskp12
| hskp3
| epred17_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_804,c_0_805]) ).
cnf(c_0_902,negated_conjecture,
( ~ hskp13
| epred6_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_241,c_0_806]) ).
cnf(c_0_903,negated_conjecture,
( epred38_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_807]),c_0_652]),c_0_808]) ).
cnf(c_0_904,negated_conjecture,
( ~ hskp9
| epred10_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_809,c_0_687]) ).
cnf(c_0_905,negated_conjecture,
( ~ hskp16
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_810,c_0_369]),c_0_370]),c_0_371]) ).
cnf(c_0_906,negated_conjecture,
( hskp3
| epred10_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_811]) ).
cnf(c_0_907,negated_conjecture,
( ~ hskp23
| ~ c0_1(a337)
| hskp4
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_274]),c_0_272]) ).
cnf(c_0_908,negated_conjecture,
( hskp27
| hskp24
| hskp1
| epred27_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_813,c_0_147]) ).
cnf(c_0_909,negated_conjecture,
( ~ hskp15
| hskp7
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_659]),c_0_660]),c_0_662]) ).
cnf(c_0_910,negated_conjecture,
( hskp16
| hskp3
| epred1_0
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_362]),c_0_815]) ).
cnf(c_0_911,negated_conjecture,
( ~ hskp9
| hskp15
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_607]),c_0_608]),c_0_609]) ).
cnf(c_0_912,negated_conjecture,
( ~ hskp12
| hskp3
| epred2_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_579,c_0_805]) ).
cnf(c_0_913,negated_conjecture,
( ~ hskp14
| hskp22
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_817]),c_0_818]),c_0_819]) ).
cnf(c_0_914,negated_conjecture,
( ~ hskp27
| hskp29
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_226]),c_0_227]),c_0_419]) ).
cnf(c_0_915,negated_conjecture,
( ~ epred45_0
| ~ epred46_0
| epred9_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_707,c_0_821]) ).
cnf(c_0_916,negated_conjecture,
( epred2_0
| epred7_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_652,c_0_822]) ).
cnf(c_0_917,negated_conjecture,
( hskp7
| hskp3
| epred12_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_451,c_0_823]) ).
cnf(c_0_918,negated_conjecture,
( ~ hskp6
| hskp3
| epred35_0 ),
inference(spm,[status(thm)],[c_0_824,c_0_825]) ).
cnf(c_0_919,negated_conjecture,
( ~ hskp6
| hskp3
| epred29_0 ),
inference(spm,[status(thm)],[c_0_826,c_0_825]) ).
cnf(c_0_920,negated_conjecture,
( ~ hskp20
| hskp3
| epred39_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_243]) ).
cnf(c_0_921,negated_conjecture,
( epred4_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_827]),c_0_828]) ).
cnf(c_0_922,negated_conjecture,
( ~ hskp3
| epred4_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_290,c_0_439]) ).
cnf(c_0_923,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| epred10_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_829,c_0_830]) ).
cnf(c_0_924,negated_conjecture,
( ~ hskp28
| hskp23
| epred35_0 ),
inference(spm,[status(thm)],[c_0_831,c_0_789]) ).
cnf(c_0_925,negated_conjecture,
( epred2_0
| epred12_0
| epred44_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_832]),c_0_833]) ).
cnf(c_0_926,negated_conjecture,
( ~ epred25_0
| epred44_0 ),
inference(spm,[status(thm)],[c_0_834,c_0_835]) ).
cnf(c_0_927,negated_conjecture,
( ~ hskp24
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_281]),c_0_282]),c_0_283]) ).
cnf(c_0_928,negated_conjecture,
( hskp24
| hskp20
| epred35_0 ),
inference(spm,[status(thm)],[c_0_557,c_0_836]) ).
cnf(c_0_929,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| epred21_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_829,c_0_837]) ).
cnf(c_0_930,negated_conjecture,
( ~ hskp8
| epred6_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_772,c_0_838]) ).
cnf(c_0_931,negated_conjecture,
( ~ hskp28
| epred14_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_839,c_0_840]) ).
cnf(c_0_932,negated_conjecture,
( ~ epred40_0
| ~ epred41_0
| epred16_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_829,c_0_841]) ).
cnf(c_0_933,negated_conjecture,
( ~ hskp23
| c0_1(a337)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_274]),c_0_273]) ).
cnf(c_0_934,negated_conjecture,
( ~ hskp16
| hskp3
| epred43_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_346]),c_0_370]) ).
cnf(c_0_935,negated_conjecture,
( ~ hskp7
| epred6_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_842]),c_0_277]) ).
cnf(c_0_936,negated_conjecture,
( ~ hskp12
| hskp3
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_171]),c_0_270]) ).
cnf(c_0_937,negated_conjecture,
( ~ epred29_0
| ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_843,c_0_309]),c_0_173]),c_0_266]) ).
cnf(c_0_938,negated_conjecture,
( ~ epred35_0
| ~ epred36_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_844,c_0_716]),c_0_525]),c_0_425]) ).
cnf(c_0_939,negated_conjecture,
( ~ epred27_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_845,c_0_718]),c_0_164]) ).
cnf(c_0_940,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_846,c_0_572]),c_0_266]) ).
cnf(c_0_941,negated_conjecture,
( ~ epred21_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_847,c_0_588]),c_0_382]) ).
cnf(c_0_942,negated_conjecture,
( ~ epred14_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_848,c_0_721]),c_0_527]) ).
cnf(c_0_943,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_849,c_0_589]),c_0_382]) ).
cnf(c_0_944,negated_conjecture,
( ~ epred6_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_850,c_0_473]),c_0_153]) ).
cnf(c_0_945,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_851,c_0_725]),c_0_313]) ).
cnf(c_0_946,negated_conjecture,
( ~ epred9_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_852,c_0_423]),c_0_465]) ).
cnf(c_0_947,negated_conjecture,
( ~ hskp29
| c3_1(a301) ),
c_0_853 ).
cnf(c_0_948,negated_conjecture,
( ~ hskp29
| c0_1(a301) ),
c_0_854 ).
cnf(c_0_949,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_855,c_0_856,c_0_857,c_0_858,c_0_859,c_0_860,c_0_861,c_0_862,c_0_863,c_0_864,c_0_865,c_0_866,c_0_867,c_0_868,c_0_869,c_0_870,c_0_871,c_0_872,c_0_873,c_0_874,c_0_875,c_0_876,c_0_877,c_0_878,c_0_879,c_0_880,c_0_881,c_0_882,c_0_883,c_0_884,c_0_885,c_0_886,c_0_887,c_0_888,c_0_889,c_0_890,c_0_891,c_0_892,c_0_787,c_0_893,c_0_788,c_0_894,c_0_895,c_0_757,c_0_896,c_0_696,c_0_544,c_0_545,c_0_897,c_0_898,c_0_899,c_0_900,c_0_901,c_0_902,c_0_903,c_0_904,c_0_632,c_0_804,c_0_711,c_0_703,c_0_905,c_0_906,c_0_907,c_0_908,c_0_909,c_0_910,c_0_911,c_0_814,c_0_912,c_0_913,c_0_664,c_0_914,c_0_915,c_0_334,c_0_916,c_0_447,c_0_917,c_0_918,c_0_919,c_0_920,c_0_921,c_0_922,c_0_923,c_0_924,c_0_785,c_0_925,c_0_926,c_0_835,c_0_639,c_0_652,c_0_355,c_0_766,c_0_308,c_0_450,c_0_331,c_0_927,c_0_928,c_0_929,c_0_930,c_0_763,c_0_397,c_0_411,c_0_372,c_0_931,c_0_932,c_0_841,c_0_519,c_0_933,c_0_650,c_0_570,c_0_934,c_0_734,c_0_935,c_0_362,c_0_936,c_0_707,c_0_547,c_0_796,c_0_829,c_0_937,c_0_938,c_0_793,c_0_939,c_0_615,c_0_940,c_0_834,c_0_941,c_0_942,c_0_943,c_0_944,c_0_945,c_0_800,c_0_416,c_0_946,c_0_623,c_0_429,c_0_387,c_0_236,c_0_275,c_0_303,c_0_593,c_0_191,c_0_662,c_0_371,c_0_370,c_0_212,c_0_264,c_0_470,c_0_283,c_0_282,c_0_419,c_0_227,c_0_277,c_0_305,c_0_592,c_0_947,c_0_684,c_0_203,c_0_276,c_0_304,c_0_194,c_0_660,c_0_948,c_0_373,c_0_261]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN468-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 10:59:37 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 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
% 10.70/1.91 % Version: 3.5.1
% 10.70/1.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.70/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.70/1.91 % Starting new_bool_3 with 300s (1) cores
% 10.70/1.91 % Starting new_bool_1 with 300s (1) cores
% 10.70/1.91 % Starting sh5l with 300s (1) cores
% 10.70/1.91 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2220165 completed with status 0
% 10.70/1.91 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.70/1.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.70/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.70/1.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.70/1.91 % No SInE strategy applied
% 10.70/1.91 % Search class: FGHNF-FSMM00-SFFFFFNN
% 10.70/1.91 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 10.70/1.91 % Starting SubtermCWHack with 151s (1) cores
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 10.70/1.91 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 10.70/1.91 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 10.70/1.91 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2220171 completed with status 0
% 10.70/1.91 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 10.70/1.91 % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.70/1.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.70/1.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.70/1.91 % No SInE strategy applied
% 10.70/1.91 % Search class: FGHNF-FSMM00-SFFFFFNN
% 10.70/1.91 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 10.70/1.91 % Starting SubtermCWHack with 151s (1) cores
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 10.70/1.91 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 10.70/1.91 % Preprocessing time : 0.002 s
% 10.70/1.91 % SatCheck found unsatisfiable ground set
% 10.70/1.91
% 10.70/1.91 % Proof found!
% 10.70/1.91 % SZS status Unsatisfiable
% 10.70/1.91 % SZS output start CNFRefutation
% See solution above
% 10.70/1.91 % Parsed axioms : 196
% 10.70/1.91 % Removed by relevancy pruning/SinE : 0
% 10.70/1.91 % Initial clauses : 196
% 10.70/1.91 % Removed in clause preprocessing : 0
% 10.70/1.91 % Initial clauses in saturation : 196
% 10.70/1.91 % Processed clauses : 8693
% 10.70/1.91 % ...of these trivial : 0
% 10.70/1.91 % ...subsumed : 3693
% 10.70/1.91 % ...remaining for further processing : 5000
% 10.70/1.91 % Other redundant clauses eliminated : 0
% 10.70/1.91 % Clauses deleted for lack of memory : 0
% 10.70/1.91 % Backward-subsumed : 1790
% 10.70/1.91 % Backward-rewritten : 61
% 10.70/1.91 % Generated clauses : 53676
% 10.70/1.91 % ...of the previous two non-redundant : 50226
% 10.70/1.91 % ...aggressively subsumed : 0
% 10.70/1.91 % Contextual simplify-reflections : 772
% 10.70/1.91 % Paramodulations : 53602
% 10.70/1.91 % Factorizations : 0
% 10.70/1.91 % NegExts : 0
% 10.70/1.91 % Equation resolutions : 0
% 10.70/1.91 % Disequality decompositions : 0
% 10.70/1.91 % Total rewrite steps : 89
% 10.70/1.91 % ...of those cached : 88
% 10.70/1.91 % Propositional unsat checks : 1
% 10.70/1.91 % Propositional check models : 0
% 10.70/1.91 % Propositional check unsatisfiable : 1
% 10.70/1.91 % Propositional clauses : 43527
% 10.70/1.91 % Propositional clauses after purity: 42872
% 10.70/1.91 % Propositional unsat core size : 165
% 10.70/1.91 % Propositional preprocessing time : 0.000
% 10.70/1.91 % Propositional encoding time : 0.012
% 10.70/1.91 % Propositional solver time : 0.033
% 10.70/1.91 % Success case prop preproc time : 0.000
% 10.70/1.91 % Success case prop encoding time : 0.012
% 10.70/1.91 % Success case prop solver time : 0.033
% 10.70/1.91 % Current number of processed clauses : 3121
% 10.70/1.91 % Positive orientable unit clauses : 1
% 10.70/1.91 % Positive unorientable unit clauses: 0
% 10.70/1.91 % Negative unit clauses : 0
% 10.70/1.91 % Non-unit-clauses : 3120
% 10.70/1.91 % Current number of unprocessed clauses: 40406
% 10.70/1.91 % ...number of literals in the above : 258762
% 10.70/1.91 % Current number of archived formulas : 0
% 10.70/1.91 % Current number of archived clauses : 1851
% 10.70/1.91 % Clause-clause subsumption calls (NU) : 3704472
% 10.70/1.91 % Rec. Clause-clause subsumption calls : 375205
% 10.70/1.91 % Non-unit clause-clause subsumptions : 6289
% 10.70/1.91 % Unit Clause-clause subsumption calls : 13
% 10.70/1.91 % Rewrite failures with RHS unbound : 0
% 10.70/1.91 % BW rewrite match attempts : 1
% 10.70/1.91 % BW rewrite match successes : 1
% 10.70/1.91 % Condensation attempts : 8693
% 10.70/1.91 % Condensation successes : 0
% 10.70/1.91 % Termbank termtop insertions : 489722
% 10.70/1.91 % Search garbage collected termcells : 469
% 10.70/1.91
% 10.70/1.91 % -------------------------------------------------
% 10.70/1.91 % User time : 1.514 s
% 10.70/1.91 % System time : 0.029 s
% 10.70/1.91 % Total time : 1.543 s
% 10.70/1.91 % Maximum resident set size: 4040 pages
% 10.70/1.91
% 10.70/1.91 % -------------------------------------------------
% 10.70/1.91 % User time : 7.471 s
% 10.70/1.91 % System time : 0.144 s
% 10.70/1.91 % Total time : 7.614 s
% 10.70/1.91 % Maximum resident set size: 4864 pages
% 10.70/1.91 % E exiting
%------------------------------------------------------------------------------