%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN448-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:24:29 PM UTC 2026
% Result : Unsatisfiable 18.22s 3.37s
% Output : CNFRefutation 18.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 178
% Syntax : Number of formulae : 782 ( 2 unt; 0 def)
% Number of atoms : 3105 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 3681 (1358 ~;2275 |; 0 &)
% ( 48 <=>; 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 : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 357 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause25,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(clause19,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(clause137,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp3
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause1,negated_conjecture,
( hskp11
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause49,negated_conjecture,
( ~ hskp25
| c3_1(a461) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause47,negated_conjecture,
( ~ hskp25
| c0_1(a461) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause77,negated_conjecture,
( ~ hskp5
| c3_1(a468) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( ~ hskp5
| c0_1(a468) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause139,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| hskp15
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause133,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp20
| hskp19
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause53,negated_conjecture,
( ~ hskp22
| c1_1(a524) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause52,negated_conjecture,
( ~ hskp22
| c0_1(a524) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause87,negated_conjecture,
( ~ hskp22
| ~ c2_1(a524) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause51,negated_conjecture,
( ~ hskp23
| c0_1(a533) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause85,negated_conjecture,
( ~ hskp23
| ~ c1_1(a533) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause86,negated_conjecture,
( ~ hskp23
| ~ c3_1(a533) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause59,negated_conjecture,
( ~ hskp19
| c3_1(a502) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause58,negated_conjecture,
( ~ hskp19
| c2_1(a502) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause90,negated_conjecture,
( ~ hskp19
| ~ c0_1(a502) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause75,negated_conjecture,
( ~ hskp6
| c2_1(a471) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause112,negated_conjecture,
( ~ hskp6
| ~ c1_1(a471) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause113,negated_conjecture,
( ~ hskp6
| ~ c3_1(a471) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause100,negated_conjecture,
( ~ hskp14
| ~ c3_1(a488) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause98,negated_conjecture,
( ~ hskp14
| ~ c1_1(a488) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause99,negated_conjecture,
( ~ hskp14
| ~ c2_1(a488) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause43,negated_conjecture,
( ~ hskp27
| c3_1(a473) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause41,negated_conjecture,
( ~ hskp27
| c0_1(a473) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause42,negated_conjecture,
( ~ hskp27
| c1_1(a473) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause94,negated_conjecture,
( ~ hskp17
| ~ c3_1(a494) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause92,negated_conjecture,
( ~ hskp17
| ~ c0_1(a494) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause93,negated_conjecture,
( ~ hskp17
| ~ c1_1(a494) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause57,negated_conjecture,
( ~ hskp20
| c3_1(a503) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause56,negated_conjecture,
( ~ hskp20
| c2_1(a503) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause48,negated_conjecture,
( ~ hskp25
| c2_1(a461) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause71,negated_conjecture,
( ~ hskp9
| c2_1(a476) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause70,negated_conjecture,
( ~ hskp9
| c0_1(a476) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause80,negated_conjecture,
( ~ hskp3
| c3_1(a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause79,negated_conjecture,
( ~ hskp3
| c1_1(a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause117,negated_conjecture,
( ~ hskp3
| ~ c0_1(a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause33,negated_conjecture,
( hskp14
| hskp5
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause120,negated_conjecture,
( ~ hskp2
| ~ c3_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause118,negated_conjecture,
( ~ hskp2
| ~ c0_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ hskp2
| ~ c2_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause31,negated_conjecture,
( hskp17
| hskp22
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(clause34,negated_conjecture,
( hskp20
| hskp23
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause103,negated_conjecture,
( ~ hskp12
| ~ c1_1(a480) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
cnf(clause102,negated_conjecture,
( ~ hskp12
| ~ c0_1(a480) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause104,negated_conjecture,
( ~ hskp12
| ~ c2_1(a480) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
cnf(clause64,negated_conjecture,
( ~ hskp15
| c3_1(a492) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause63,negated_conjecture,
( ~ hskp15
| c1_1(a492) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause138,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp18
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause145,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp25
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause37,negated_conjecture,
( hskp12
| hskp6
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| hskp27
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause109,negated_conjecture,
( ~ hskp8
| ~ c3_1(a475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause72,negated_conjecture,
( ~ hskp8
| c0_1(a475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause73,negated_conjecture,
( ~ hskp8
| c1_1(a475) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause97,negated_conjecture,
( ~ hskp15
| ~ c2_1(a492) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
cnf(clause46,negated_conjecture,
( ~ hskp26
| c3_1(a470) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause44,negated_conjecture,
( ~ hskp26
| c1_1(a470) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause89,negated_conjecture,
( ~ hskp20
| ~ c1_1(a503) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause132,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp2
| hskp18
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause136,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp27
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause141,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp26
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
cnf(clause62,negated_conjecture,
( ~ hskp16
| c1_1(a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause95,negated_conjecture,
( ~ hskp16
| ~ c0_1(a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
cnf(clause96,negated_conjecture,
( ~ hskp16
| ~ c2_1(a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
cnf(clause134,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp14
| hskp12
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause108,negated_conjecture,
( ~ hskp9
| ~ c1_1(a476) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause60,negated_conjecture,
( ~ hskp18
| c1_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause61,negated_conjecture,
( ~ hskp18
| c2_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause91,negated_conjecture,
( ~ hskp18
| ~ c0_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause127,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp2
| hskp6
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause39,negated_conjecture,
( ~ hskp28
| c1_1(a490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause40,negated_conjecture,
( ~ hskp28
| c2_1(a490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause173,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause45,negated_conjecture,
( ~ hskp26
| c2_1(a470) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause106,negated_conjecture,
( ~ hskp11
| ~ c3_1(a478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause67,negated_conjecture,
( ~ hskp11
| c2_1(a478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause105,negated_conjecture,
( ~ hskp11
| ~ c0_1(a478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause68,negated_conjecture,
( ~ hskp10
| c1_1(a477) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause69,negated_conjecture,
( ~ hskp10
| c2_1(a477) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause171,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
cnf(clause74,negated_conjecture,
( ~ hskp7
| c3_1(a474) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause110,negated_conjecture,
( ~ hskp7
| ~ c1_1(a474) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause111,negated_conjecture,
( ~ hskp7
| ~ c2_1(a474) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause114,negated_conjecture,
( ~ hskp5
| ~ c2_1(a468) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause101,negated_conjecture,
( ~ hskp13
| ~ c3_1(a483) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause65,negated_conjecture,
( ~ hskp13
| c0_1(a483) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause66,negated_conjecture,
( ~ hskp13
| c2_1(a483) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause82,negated_conjecture,
( ~ hskp0
| c0_1(a460) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause124,negated_conjecture,
( ~ hskp0
| ~ c3_1(a460) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause135,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| hskp11
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause175,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X2)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause107,negated_conjecture,
( ~ hskp10
| ~ c3_1(a477) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause128,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp12
| hskp0
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause154,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
cnf(clause32,negated_conjecture,
( hskp16
| hskp15
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(clause55,negated_conjecture,
( ~ hskp21
| c3_1(a512) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause54,negated_conjecture,
( ~ hskp21
| c0_1(a512) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause88,negated_conjecture,
( ~ hskp21
| ~ c1_1(a512) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause123,negated_conjecture,
( ~ hskp0
| ~ c2_1(a460) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause78,negated_conjecture,
( ~ hskp4
| c3_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause115,negated_conjecture,
( ~ hskp4
| ~ c0_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause38,negated_conjecture,
( ~ hskp28
| c0_1(a490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause176,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause174,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause172,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause169,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
cnf(clause168,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause170,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp17
| c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
cnf(clause166,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause164,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp9
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause161,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause160,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp26
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
cnf(clause162,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
cnf(clause153,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp4
| c3_1(X2)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
cnf(clause157,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause156,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause155,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp9
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
cnf(clause158,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp13
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(clause159,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause152,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
cnf(clause149,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp4
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
cnf(clause151,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
cnf(clause150,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
cnf(clause144,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
cnf(clause146,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
cnf(clause142,negated_conjecture,
( ~ ndr1_0
| hskp0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause25]) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause19]) ).
cnf(c_0_132,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp3
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
c_0_130 ).
cnf(c_0_134,negated_conjecture,
( hskp11
| hskp5 ),
clause1 ).
cnf(c_0_135,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
c_0_131 ).
fof(c_0_136,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp25
| c3_1(a461) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_138,negated_conjecture,
( ~ hskp25
| c0_1(a461) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_139,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp3
| c1_1(X1) ),
c_0_132 ).
cnf(c_0_140,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp5
| c3_1(a468) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp5
| c0_1(a468) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_143,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| hskp15
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_144,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp20
| hskp19
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_145,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_136]) ).
cnf(c_0_146,negated_conjecture,
( ~ hskp25
| c3_1(a461) ),
c_0_137 ).
cnf(c_0_147,negated_conjecture,
( ~ hskp25
| c0_1(a461) ),
c_0_138 ).
cnf(c_0_148,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp12
| hskp3
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp5
| c3_1(a468) ),
c_0_141 ).
cnf(c_0_150,negated_conjecture,
( ~ hskp5
| c0_1(a468) ),
c_0_142 ).
cnf(c_0_151,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp2
| hskp15
| c2_1(X1) ),
c_0_143 ).
cnf(c_0_152,negated_conjecture,
( ~ hskp22
| c1_1(a524) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp22
| c0_1(a524) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp22
| ~ c2_1(a524) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
fof(c_0_155,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_156,plain,
( ~ epred48_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_157,plain,
( ~ epred5_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp25 ) ),
introduced(definition) ).
cnf(c_0_158,negated_conjecture,
( ~ hskp23
| c0_1(a533) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp23
| ~ c1_1(a533) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp23
| ~ c3_1(a533) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
fof(c_0_161,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp19
| c3_1(a502) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
cnf(c_0_163,negated_conjecture,
( ~ hskp19
| c2_1(a502) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_164,negated_conjecture,
( ~ hskp19
| ~ c0_1(a502) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_165,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp20
| hskp19
| c3_1(X1)
| c1_1(X1) ),
c_0_144 ).
cnf(c_0_166,negated_conjecture,
( ~ hskp6
| c2_1(a471) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp6
| ~ c1_1(a471) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_168,negated_conjecture,
( ~ hskp6
| ~ c3_1(a471) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp14
| ~ c3_1(a488) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
fof(c_0_170,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp27 ) ),
introduced(definition) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp14
| ~ c1_1(a488) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp14
| ~ c2_1(a488) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp25
| ~ c1_1(a461)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp25
| hskp12
| hskp3
| c1_1(a461) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_146]),c_0_147]) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp5
| ~ c1_1(a468)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_149]),c_0_150]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp5
| hskp12
| hskp3
| c1_1(a468) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp27
| c3_1(a473) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_178,negated_conjecture,
( ~ hskp27
| c0_1(a473) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
cnf(c_0_179,negated_conjecture,
( ~ hskp27
| c1_1(a473) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_180,negated_conjecture,
( ~ hskp17
| ~ c3_1(a494) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
fof(c_0_181,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp17
| ~ c0_1(a494) ),
inference(fof_simplification,[status(thm)],[clause92]) ).
cnf(c_0_183,negated_conjecture,
( ~ hskp17
| ~ c1_1(a494) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_184,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp15
| hskp2
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_140])]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp22
| c1_1(a524) ),
c_0_152 ).
cnf(c_0_186,negated_conjecture,
( ~ hskp22
| c0_1(a524) ),
c_0_153 ).
cnf(c_0_187,negated_conjecture,
( ~ hskp22
| ~ c2_1(a524) ),
c_0_154 ).
cnf(c_0_188,negated_conjecture,
( ~ hskp20
| c3_1(a503) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_189,negated_conjecture,
( ~ hskp20
| c2_1(a503) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_190,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_155]) ).
cnf(c_0_191,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_156]),c_0_140])]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp25
| c2_1(a461) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_193,negated_conjecture,
( ~ c0_1(X1)
| hskp25
| c1_1(X1)
| c3_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_157]),c_0_140])]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp23
| c0_1(a533) ),
c_0_158 ).
cnf(c_0_195,negated_conjecture,
( ~ hskp23
| ~ c1_1(a533) ),
c_0_159 ).
cnf(c_0_196,negated_conjecture,
( ~ hskp23
| ~ c3_1(a533) ),
c_0_160 ).
cnf(c_0_197,negated_conjecture,
( ~ hskp9
| c2_1(a476) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_198,negated_conjecture,
( ~ hskp9
| c0_1(a476) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
cnf(c_0_199,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_161]) ).
cnf(c_0_200,negated_conjecture,
( ~ hskp19
| c3_1(a502) ),
c_0_162 ).
cnf(c_0_201,negated_conjecture,
( ~ hskp19
| c2_1(a502) ),
c_0_163 ).
cnf(c_0_202,negated_conjecture,
( ~ hskp19
| ~ c0_1(a502) ),
c_0_164 ).
cnf(c_0_203,negated_conjecture,
( ~ c2_1(X1)
| hskp20
| hskp19
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_140])]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp6
| c2_1(a471) ),
c_0_166 ).
cnf(c_0_205,negated_conjecture,
( ~ hskp6
| ~ c1_1(a471) ),
c_0_167 ).
cnf(c_0_206,negated_conjecture,
( ~ hskp6
| ~ c3_1(a471) ),
c_0_168 ).
fof(c_0_207,plain,
( ~ epred17_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp3
| c3_1(a466) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp3
| c1_1(a466) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_210,negated_conjecture,
( ~ hskp3
| ~ c0_1(a466) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp14
| ~ c3_1(a488) ),
c_0_169 ).
cnf(c_0_212,negated_conjecture,
( hskp27
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_140])]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp14
| ~ c1_1(a488) ),
c_0_171 ).
cnf(c_0_214,negated_conjecture,
( ~ hskp14
| ~ c2_1(a488) ),
c_0_172 ).
cnf(c_0_215,negated_conjecture,
( ~ hskp25
| hskp12
| hskp3
| epred39_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_216,negated_conjecture,
( hskp14
| hskp5
| hskp25 ),
clause33 ).
cnf(c_0_217,negated_conjecture,
( ~ hskp5
| hskp12
| hskp3
| epred39_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp27
| c3_1(a473) ),
c_0_177 ).
cnf(c_0_219,negated_conjecture,
( ~ hskp27
| c0_1(a473) ),
c_0_178 ).
cnf(c_0_220,negated_conjecture,
( ~ hskp27
| c1_1(a473) ),
c_0_179 ).
cnf(c_0_221,negated_conjecture,
( ~ hskp2
| ~ c3_1(a465) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
fof(c_0_222,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp2
| ~ c0_1(a465) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp2
| ~ c2_1(a465) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp17
| ~ c3_1(a494) ),
c_0_180 ).
cnf(c_0_226,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_181]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp17
| ~ c0_1(a494) ),
c_0_182 ).
cnf(c_0_228,negated_conjecture,
( ~ hskp17
| ~ c1_1(a494) ),
c_0_183 ).
cnf(c_0_229,negated_conjecture,
( ~ hskp22
| hskp15
| hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186]),c_0_187]) ).
cnf(c_0_230,negated_conjecture,
( hskp17
| hskp22
| hskp27 ),
clause31 ).
cnf(c_0_231,negated_conjecture,
( ~ hskp20
| c3_1(a503) ),
c_0_188 ).
cnf(c_0_232,negated_conjecture,
( ~ hskp20
| c2_1(a503) ),
c_0_189 ).
cnf(c_0_233,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| epred32_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_234,negated_conjecture,
( ~ hskp25
| c2_1(a461) ),
c_0_192 ).
cnf(c_0_235,negated_conjecture,
( ~ hskp23
| hskp25
| epred5_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),c_0_196]) ).
cnf(c_0_236,negated_conjecture,
( hskp20
| hskp23
| hskp9 ),
clause34 ).
cnf(c_0_237,negated_conjecture,
( ~ hskp9
| c2_1(a476) ),
c_0_197 ).
cnf(c_0_238,negated_conjecture,
( ~ hskp9
| c0_1(a476) ),
c_0_198 ).
cnf(c_0_239,negated_conjecture,
( ~ hskp19
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_240,negated_conjecture,
( ~ hskp6
| hskp20
| hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]),c_0_206]) ).
cnf(c_0_241,negated_conjecture,
( ~ hskp12
| ~ c1_1(a480) ),
inference(fof_simplification,[status(thm)],[clause103]) ).
fof(c_0_242,plain,
( ~ epred6_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp12
| ~ c0_1(a480) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_244,negated_conjecture,
( ~ hskp12
| ~ c2_1(a480) ),
inference(fof_simplification,[status(thm)],[clause104]) ).
cnf(c_0_245,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_207]) ).
cnf(c_0_246,negated_conjecture,
( ~ hskp3
| c3_1(a466) ),
c_0_208 ).
cnf(c_0_247,negated_conjecture,
( ~ hskp3
| c1_1(a466) ),
c_0_209 ).
cnf(c_0_248,negated_conjecture,
( ~ hskp3
| ~ c0_1(a466) ),
c_0_210 ).
cnf(c_0_249,negated_conjecture,
( ~ hskp14
| hskp27
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_213]),c_0_214]) ).
cnf(c_0_250,negated_conjecture,
( hskp14
| hskp12
| hskp3
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).
cnf(c_0_251,negated_conjecture,
( ~ hskp27
| epred39_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_218]),c_0_219]),c_0_220]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp15
| c3_1(a492) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_253,negated_conjecture,
( ~ hskp15
| c1_1(a492) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_254,negated_conjecture,
( ~ hskp2
| ~ c3_1(a465) ),
c_0_221 ).
cnf(c_0_255,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_222]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp2
| ~ c0_1(a465) ),
c_0_223 ).
cnf(c_0_257,negated_conjecture,
( ~ hskp2
| ~ c2_1(a465) ),
c_0_224 ).
cnf(c_0_258,negated_conjecture,
( ~ hskp17
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_228]) ).
cnf(c_0_259,negated_conjecture,
( hskp27
| hskp17
| hskp15
| hskp2 ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
fof(c_0_260,plain,
( ~ epred46_0
<=> ! [X2] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_261,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp18
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_262,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp25
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause145]) ).
cnf(c_0_263,negated_conjecture,
( ~ hskp20
| ~ c0_1(a503)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_231]),c_0_232]) ).
cnf(c_0_264,negated_conjecture,
( ~ hskp20
| c0_1(a503)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_231]),c_0_232]) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp25
| epred32_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_147]) ).
cnf(c_0_266,negated_conjecture,
( hskp25
| hskp20
| hskp9
| epred5_0 ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_267,negated_conjecture,
( ~ hskp9
| epred32_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_237]),c_0_238]) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp6
| hskp20
| epred25_0 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_269,negated_conjecture,
( hskp12
| hskp6
| hskp20 ),
clause37 ).
cnf(c_0_270,negated_conjecture,
( ~ ndr1_0
| hskp27
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp12
| ~ c1_1(a480) ),
c_0_241 ).
cnf(c_0_272,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_242]) ).
cnf(c_0_273,negated_conjecture,
( ~ hskp12
| ~ c0_1(a480) ),
c_0_243 ).
cnf(c_0_274,negated_conjecture,
( ~ hskp12
| ~ c2_1(a480) ),
c_0_244 ).
cnf(c_0_275,negated_conjecture,
( ~ hskp3
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_248]) ).
cnf(c_0_276,negated_conjecture,
( hskp12
| hskp3
| epred1_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).
cnf(c_0_277,negated_conjecture,
( ~ hskp15
| c3_1(a492) ),
c_0_252 ).
cnf(c_0_278,negated_conjecture,
( ~ hskp15
| c1_1(a492) ),
c_0_253 ).
cnf(c_0_279,negated_conjecture,
( ~ hskp2
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]),c_0_257]) ).
cnf(c_0_280,negated_conjecture,
( hskp27
| hskp15
| hskp2
| epred4_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_281,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred46_0 ),
inference(split_equiv,[status(thm)],[c_0_260]) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp8
| ~ c3_1(a475) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp8
| c0_1(a475) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
fof(c_0_284,plain,
( ~ epred51_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp8
| c1_1(a475) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp15
| ~ c2_1(a492) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
fof(c_0_287,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_288,negated_conjecture,
( ~ hskp26
| c3_1(a470) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_289,negated_conjecture,
( ~ hskp26
| c1_1(a470) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp20
| ~ c1_1(a503) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
fof(c_0_291,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_292,plain,
( ~ epred33_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp26 ) ),
introduced(definition) ).
cnf(c_0_293,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp20
| hskp18
| c2_1(X1) ),
c_0_261 ).
fof(c_0_294,plain,
( ~ epred49_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ ndr1_0
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_295,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_296,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_297,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp25
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_262 ).
cnf(c_0_298,negated_conjecture,
( ~ hskp20
| epred25_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_299,negated_conjecture,
( hskp20
| epred5_0
| epred32_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).
cnf(c_0_300,negated_conjecture,
( hskp20
| hskp12
| epred25_0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_301,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp2
| hskp18
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_302,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp27
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_303,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp26
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause141]) ).
cnf(c_0_304,negated_conjecture,
( ~ ndr1_0
| hskp27
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
c_0_270 ).
cnf(c_0_305,negated_conjecture,
( ~ hskp12
| epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]),c_0_274]) ).
cnf(c_0_306,negated_conjecture,
( hskp12
| epred1_0
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp15
| ~ c0_1(a492)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_277]),c_0_278]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp15
| c0_1(a492)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_277]),c_0_278]) ).
cnf(c_0_309,negated_conjecture,
( hskp27
| hskp15
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_310,negated_conjecture,
( ~ hskp14
| epred46_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_281]),c_0_213]),c_0_214]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp8
| ~ c3_1(a475) ),
c_0_282 ).
cnf(c_0_312,negated_conjecture,
( ~ hskp8
| c0_1(a475) ),
c_0_283 ).
cnf(c_0_313,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred51_0 ),
inference(split_equiv,[status(thm)],[c_0_284]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp8
| c1_1(a475) ),
c_0_285 ).
cnf(c_0_315,negated_conjecture,
( ~ hskp16
| c1_1(a493) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_316,negated_conjecture,
( ~ hskp16
| ~ c0_1(a493) ),
inference(fof_simplification,[status(thm)],[clause95]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp16
| ~ c2_1(a493) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp15
| ~ c2_1(a492) ),
c_0_286 ).
cnf(c_0_319,negated_conjecture,
( ~ c1_1(X1)
| hskp8
| c0_1(X1)
| c2_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_287]),c_0_140])]) ).
cnf(c_0_320,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp14
| hskp12
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp26
| c3_1(a470) ),
c_0_288 ).
cnf(c_0_322,negated_conjecture,
( ~ hskp26
| c1_1(a470) ),
c_0_289 ).
cnf(c_0_323,negated_conjecture,
( ~ hskp20
| ~ c1_1(a503) ),
c_0_290 ).
cnf(c_0_324,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred36_0 ),
inference(split_equiv,[status(thm)],[c_0_291]) ).
cnf(c_0_325,negated_conjecture,
( ~ c2_1(X1)
| hskp26
| c0_1(X1)
| c1_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_292]),c_0_140])]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp9
| ~ c1_1(a476) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
fof(c_0_327,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp18
| c1_1(a500) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp18
| c2_1(a500) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp18
| ~ c0_1(a500) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_331,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp20
| hskp18
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_140])]) ).
cnf(c_0_332,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp2
| hskp6
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_333,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_294]),c_0_140])]) ).
fof(c_0_334,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp9 ) ),
introduced(definition) ).
cnf(c_0_335,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_295]) ).
cnf(c_0_336,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_296]),c_0_140])]) ).
cnf(c_0_337,negated_conjecture,
( ~ hskp28
| c1_1(a490) ),
inference(fof_simplification,[status(thm)],[clause39]) ).
cnf(c_0_338,negated_conjecture,
( ~ hskp28
| c2_1(a490) ),
inference(fof_simplification,[status(thm)],[clause40]) ).
cnf(c_0_339,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_340,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_297,c_0_157]),c_0_242]) ).
cnf(c_0_341,negated_conjecture,
( epred5_0
| epred25_0
| epred32_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_342,negated_conjecture,
( hskp12
| epred25_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_298,c_0_300]) ).
cnf(c_0_343,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp2
| hskp18
| c3_1(X1)
| c1_1(X1) ),
c_0_301 ).
cnf(c_0_344,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp10
| hskp27
| c0_1(X1) ),
c_0_302 ).
cnf(c_0_345,negated_conjecture,
( ~ hskp26
| c2_1(a470) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_346,negated_conjecture,
( ~ hskp11
| ~ c3_1(a478) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
cnf(c_0_347,negated_conjecture,
( ~ hskp11
| c2_1(a478) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp11
| ~ c0_1(a478) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
fof(c_0_349,plain,
( ~ epred21_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_350,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp26
| c3_1(X1) ),
c_0_303 ).
cnf(c_0_351,negated_conjecture,
( ~ hskp10
| c1_1(a477) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_352,negated_conjecture,
( ~ hskp10
| c2_1(a477) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
cnf(c_0_353,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause171]) ).
cnf(c_0_354,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304,c_0_170]),c_0_222]) ).
cnf(c_0_355,negated_conjecture,
( epred1_0
| epred6_0
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_356,negated_conjecture,
( ~ hskp15
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_357,negated_conjecture,
( hskp15
| epred2_0
| epred4_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_251,c_0_309]) ).
cnf(c_0_358,negated_conjecture,
( hskp12
| hskp3
| epred39_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_310,c_0_250]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp7
| c3_1(a474) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_360,negated_conjecture,
( ~ hskp7
| ~ c1_1(a474) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_361,negated_conjecture,
( ~ hskp7
| ~ c2_1(a474) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_362,negated_conjecture,
( ~ hskp8
| ~ c2_1(a475)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_191]),c_0_312]) ).
cnf(c_0_363,negated_conjecture,
( ~ hskp8
| c2_1(a475)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_312]) ).
cnf(c_0_364,negated_conjecture,
( ~ hskp16
| c1_1(a493) ),
c_0_315 ).
cnf(c_0_365,negated_conjecture,
( ~ hskp16
| ~ c0_1(a493) ),
c_0_316 ).
cnf(c_0_366,negated_conjecture,
( ~ hskp16
| ~ c2_1(a493) ),
c_0_317 ).
cnf(c_0_367,negated_conjecture,
( ~ hskp15
| ~ c0_1(a492)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_278]),c_0_318]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp15
| hskp8
| c0_1(a492)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_278]),c_0_318]) ).
fof(c_0_369,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp9 ) ),
introduced(definition) ).
fof(c_0_370,plain,
( ~ epred26_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp9 ) ),
introduced(definition) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp5
| ~ c2_1(a468) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp13
| ~ c3_1(a483) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp13
| c0_1(a483) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp13
| c2_1(a483) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
fof(c_0_375,plain,
( ~ epred23_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp13 ) ),
introduced(definition) ).
fof(c_0_376,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp0
| c0_1(a460) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp0
| ~ c3_1(a460) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
cnf(c_0_379,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp14
| hskp12
| c3_1(X1)
| c1_1(X1) ),
c_0_320 ).
cnf(c_0_380,negated_conjecture,
( ~ hskp26
| ~ c0_1(a470)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_321]),c_0_322]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp26
| c0_1(a470)
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_321]),c_0_322]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp20
| ~ c0_1(a503)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_232]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp20
| hskp26
| c0_1(a503)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_232]),c_0_323]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp23
| ~ c2_1(a533)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_324]),c_0_194]) ).
cnf(c_0_385,negated_conjecture,
( ~ hskp23
| hskp27
| c2_1(a533)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_212]),c_0_195]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp9
| ~ c1_1(a476) ),
c_0_326 ).
cnf(c_0_387,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_327]) ).
cnf(c_0_388,negated_conjecture,
( ~ hskp18
| c1_1(a500) ),
c_0_328 ).
cnf(c_0_389,negated_conjecture,
( ~ hskp18
| c2_1(a500) ),
c_0_329 ).
cnf(c_0_390,negated_conjecture,
( ~ hskp18
| ~ c0_1(a500) ),
c_0_330 ).
cnf(c_0_391,negated_conjecture,
( ~ hskp8
| hskp20
| hskp18
| c2_1(a475) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_314]),c_0_312]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp15
| ~ c0_1(a492)
| hskp20
| hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_278]),c_0_318]) ).
cnf(c_0_393,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp2
| hskp6
| c1_1(X1)
| c0_1(X1) ),
c_0_332 ).
cnf(c_0_394,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| epred6_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_272]) ).
cnf(c_0_395,negated_conjecture,
( ~ c3_1(X1)
| hskp9
| c0_1(X1)
| c2_1(X1)
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_334]),c_0_140])]) ).
fof(c_0_396,plain,
( ~ epred52_0
<=> ! [X3] :
( ~ ndr1_0
| c3_1(X3)
| c2_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_397,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| hskp11
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
fof(c_0_398,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| hskp28 ) ),
introduced(definition) ).
fof(c_0_399,plain,
( ~ epred20_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
fof(c_0_400,plain,
( ~ epred14_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_401,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| epred30_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp28
| c1_1(a490) ),
c_0_337 ).
cnf(c_0_403,negated_conjecture,
( ~ hskp28
| c2_1(a490) ),
c_0_338 ).
fof(c_0_404,plain,
( ~ epred3_0
<=> ! [X1] :
( ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_405,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X2)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3) ),
inference(fof_simplification,[status(thm)],[clause175]) ).
cnf(c_0_406,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
c_0_339 ).
cnf(c_0_407,negated_conjecture,
( ~ epred6_0
| epred25_0
| epred32_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_408,negated_conjecture,
( epred6_0
| epred25_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_342]) ).
cnf(c_0_409,negated_conjecture,
( ~ c0_1(X1)
| hskp18
| hskp2
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_140])]) ).
cnf(c_0_410,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp27
| hskp10
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_140])]) ).
cnf(c_0_411,negated_conjecture,
( ~ hskp26
| c2_1(a470) ),
c_0_345 ).
cnf(c_0_412,negated_conjecture,
( ~ hskp11
| ~ c3_1(a478) ),
c_0_346 ).
cnf(c_0_413,negated_conjecture,
( ~ hskp11
| c2_1(a478) ),
c_0_347 ).
cnf(c_0_414,negated_conjecture,
( ~ hskp11
| ~ c0_1(a478) ),
c_0_348 ).
cnf(c_0_415,negated_conjecture,
( ~ hskp10
| ~ c3_1(a477) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_416,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred21_0 ),
inference(split_equiv,[status(thm)],[c_0_349]) ).
cnf(c_0_417,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp26
| hskp10
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_140])]) ).
cnf(c_0_418,negated_conjecture,
( ~ hskp10
| c1_1(a477) ),
c_0_351 ).
cnf(c_0_419,negated_conjecture,
( ~ hskp10
| c2_1(a477) ),
c_0_352 ).
cnf(c_0_420,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_353 ).
cnf(c_0_421,negated_conjecture,
( ~ epred2_0
| epred6_0
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_422,negated_conjecture,
( epred2_0
| epred4_0
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_423,negated_conjecture,
( hskp12
| epred17_0
| epred39_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_358]) ).
cnf(c_0_424,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp12
| hskp0
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp8
| hskp15
| hskp2
| c2_1(a475) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_314]),c_0_312]) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp7
| c3_1(a474) ),
c_0_359 ).
cnf(c_0_427,negated_conjecture,
( ~ hskp7
| ~ c1_1(a474) ),
c_0_360 ).
cnf(c_0_428,negated_conjecture,
( ~ hskp7
| ~ c2_1(a474) ),
c_0_361 ).
fof(c_0_429,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_430,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp8
| epred48_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp16
| hskp8
| epred28_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_364]),c_0_365]),c_0_366]) ).
cnf(c_0_433,negated_conjecture,
( hskp16
| hskp15
| hskp8 ),
clause32 ).
cnf(c_0_434,negated_conjecture,
( ~ hskp15
| hskp8
| epred28_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_435,negated_conjecture,
( ~ c0_1(X1)
| hskp9
| c1_1(X1)
| c3_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_369]),c_0_140])]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp21
| c3_1(a512) ),
inference(fof_simplification,[status(thm)],[clause55]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp21
| c0_1(a512) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp21
| ~ c1_1(a512) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_439,negated_conjecture,
( ~ c0_1(X1)
| hskp9
| c1_1(X1)
| c2_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_370]),c_0_140])]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp5
| ~ c2_1(a468) ),
c_0_371 ).
cnf(c_0_441,negated_conjecture,
( ~ hskp13
| ~ c3_1(a483) ),
c_0_372 ).
cnf(c_0_442,negated_conjecture,
( ~ hskp13
| c0_1(a483) ),
c_0_373 ).
cnf(c_0_443,negated_conjecture,
( ~ hskp13
| c2_1(a483) ),
c_0_374 ).
cnf(c_0_444,negated_conjecture,
( ~ c0_1(X1)
| hskp13
| c1_1(X1)
| c3_1(X1)
| epred23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_375]),c_0_140])]) ).
fof(c_0_445,plain,
( ~ epred47_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp0
| ~ c2_1(a460) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
cnf(c_0_447,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred29_0 ),
inference(split_equiv,[status(thm)],[c_0_376]) ).
fof(c_0_448,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_449,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_450,plain,
( ~ epred9_0
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_451,negated_conjecture,
( ~ hskp0
| c0_1(a460) ),
c_0_377 ).
cnf(c_0_452,negated_conjecture,
( ~ hskp0
| ~ c3_1(a460) ),
c_0_378 ).
cnf(c_0_453,negated_conjecture,
( ~ c2_1(X1)
| hskp14
| hskp12
| c1_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_140])]) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp26
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_455,negated_conjecture,
( ~ hskp20
| hskp26
| epred33_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp23
| hskp27
| epred1_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_457,negated_conjecture,
( ~ hskp9
| epred36_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_324]),c_0_238]),c_0_237]) ).
cnf(c_0_458,negated_conjecture,
( ~ hskp18
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_389]),c_0_390]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp8
| hskp20
| hskp18
| epred48_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_391]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp15
| hskp20
| hskp18
| hskp8
| epred28_0 ),
inference(spm,[status(thm)],[c_0_392,c_0_368]) ).
cnf(c_0_461,negated_conjecture,
( ~ c2_1(X1)
| hskp6
| hskp2
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_140])]) ).
cnf(c_0_462,negated_conjecture,
( ~ hskp2
| epred6_0
| epred49_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_394]),c_0_256]) ).
cnf(c_0_463,negated_conjecture,
( ~ hskp3
| ~ c2_1(a466)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_247]),c_0_248]) ).
cnf(c_0_464,negated_conjecture,
( ~ hskp3
| hskp9
| c2_1(a466)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_246]),c_0_248]) ).
cnf(c_0_465,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_396]),c_0_140])]) ).
cnf(c_0_466,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| hskp11
| c3_1(X1)
| c2_1(X1) ),
c_0_397 ).
fof(c_0_467,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp21 ) ),
introduced(definition) ).
cnf(c_0_468,negated_conjecture,
( hskp28
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_398]),c_0_140])]) ).
cnf(c_0_469,negated_conjecture,
( hskp5
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred20_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_140])]) ).
cnf(c_0_470,negated_conjecture,
( hskp4
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred14_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_400]),c_0_140])]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp28
| epred30_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_403]) ).
cnf(c_0_472,negated_conjecture,
( hskp0
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_404]),c_0_140])]) ).
fof(c_0_473,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
fof(c_0_474,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp14 ) ),
introduced(definition) ).
fof(c_0_475,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp17 ) ),
introduced(definition) ).
fof(c_0_476,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp12 ) ),
introduced(definition) ).
fof(c_0_477,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c2_1(X2)
| hskp3 ) ),
introduced(definition) ).
fof(c_0_478,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp9 ) ),
introduced(definition) ).
fof(c_0_479,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp4
| c3_1(a467) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_481,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X2)
| c3_1(X3)
| c2_1(X3)
| c1_1(X3) ),
c_0_405 ).
cnf(c_0_482,negated_conjecture,
( ~ epred6_0
| ~ epred29_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_406,c_0_156]),c_0_242]),c_0_376]) ).
cnf(c_0_483,negated_conjecture,
( epred25_0
| epred32_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp23
| hskp18
| hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_194]),c_0_195]),c_0_196]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp26
| hskp27
| hskp10
| c0_1(a470) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_322]),c_0_411]) ).
cnf(c_0_486,negated_conjecture,
( ~ hskp11
| ~ c1_1(a478)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_336]),c_0_413]) ).
cnf(c_0_487,negated_conjecture,
( ~ hskp11
| hskp26
| c1_1(a478)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_413]),c_0_414]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp10
| ~ c3_1(a477) ),
c_0_415 ).
cnf(c_0_489,negated_conjecture,
( ~ hskp26
| ~ c0_1(a470)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_322]),c_0_411]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp26
| c0_1(a470)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_322]),c_0_411]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp6
| ~ c0_1(a471)
| hskp26
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_204]),c_0_206]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp6
| hskp26
| c0_1(a471)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_204]),c_0_205]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp10
| ~ c0_1(a477)
| epred21_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_418]),c_0_419]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp10
| c0_1(a477)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_418]),c_0_419]) ).
cnf(c_0_495,negated_conjecture,
( ~ epred4_0
| ~ epred45_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_420,c_0_296]),c_0_260]),c_0_181]) ).
cnf(c_0_496,negated_conjecture,
( epred4_0
| epred6_0
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_497,negated_conjecture,
( epred6_0
| epred17_0
| epred39_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_423]) ).
cnf(c_0_498,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp12
| hskp0
| c3_1(X1)
| c0_1(X1) ),
c_0_424 ).
cnf(c_0_499,negated_conjecture,
( ~ hskp8
| hskp15
| hskp2
| epred48_0 ),
inference(spm,[status(thm)],[c_0_362,c_0_425]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp7
| ~ c0_1(a474)
| hskp12
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_426]),c_0_427]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp7
| hskp9
| c0_1(a474)
| epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_426]),c_0_428]) ).
cnf(c_0_502,negated_conjecture,
( ~ c1_1(X1)
| hskp11
| c0_1(X1)
| c3_1(X1)
| epred31_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_429]),c_0_140])]) ).
cnf(c_0_503,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_430 ).
cnf(c_0_504,negated_conjecture,
( ~ hskp16
| epred28_0
| epred48_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_505,negated_conjecture,
( hskp16
| hskp15
| epred48_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_433]) ).
cnf(c_0_506,negated_conjecture,
( ~ hskp15
| epred28_0
| epred48_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_434]) ).
cnf(c_0_507,negated_conjecture,
( ~ hskp23
| hskp9
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_194]),c_0_195]),c_0_196]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp21
| c3_1(a512) ),
c_0_436 ).
cnf(c_0_509,negated_conjecture,
( ~ hskp21
| c0_1(a512) ),
c_0_437 ).
cnf(c_0_510,negated_conjecture,
( ~ hskp21
| ~ c1_1(a512) ),
c_0_438 ).
cnf(c_0_511,negated_conjecture,
( ~ hskp5
| hskp9
| c1_1(a468)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_150]),c_0_440]) ).
fof(c_0_512,plain,
( ~ epred50_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp13
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_191]),c_0_442]),c_0_443]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp23
| hskp13
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_194]),c_0_195]),c_0_196]) ).
fof(c_0_515,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ ndr1_0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp23
| ~ c2_1(a533)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_191]),c_0_194]) ).
cnf(c_0_517,negated_conjecture,
( ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred47_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_445]),c_0_140])]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp0
| ~ c2_1(a460) ),
c_0_446 ).
fof(c_0_519,plain,
( ~ epred8_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
fof(c_0_520,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c2_1(X1)
| hskp7 ) ),
introduced(definition) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp25
| c1_1(a461)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_146]),c_0_234]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp25
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_146]),c_0_147]),c_0_234]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp4
| ~ c0_1(a467) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp28
| c0_1(a490) ),
inference(fof_simplification,[status(thm)],[clause38]) ).
fof(c_0_525,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_526,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_448]) ).
cnf(c_0_527,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_449]) ).
cnf(c_0_528,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred9_0 ),
inference(split_equiv,[status(thm)],[c_0_450]) ).
cnf(c_0_529,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_530,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_531,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_532,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause169]) ).
cnf(c_0_533,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_534,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp17
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause170]) ).
cnf(c_0_535,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_536,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp9
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_537,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_538,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp26
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause160]) ).
cnf(c_0_539,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_540,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp4
| c3_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause153]) ).
cnf(c_0_541,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause157]) ).
cnf(c_0_542,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause156]) ).
cnf(c_0_543,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp9
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause155]) ).
cnf(c_0_544,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp13
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_545,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_546,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause152]) ).
cnf(c_0_547,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_548,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp4
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_549,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause151]) ).
cnf(c_0_550,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause150]) ).
cnf(c_0_551,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause144]) ).
cnf(c_0_552,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause146]) ).
cnf(c_0_553,negated_conjecture,
( ~ ndr1_0
| hskp0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause142]) ).
cnf(c_0_554,negated_conjecture,
( ~ hskp9
| hskp18
| hskp2
| c3_1(a476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_238]),c_0_386]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp0
| hskp18
| hskp2
| c1_1(a460) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_451]),c_0_452]) ).
cnf(c_0_556,negated_conjecture,
( ~ hskp11
| hskp14
| hskp12
| c1_1(a478) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_413]),c_0_412]) ).
cnf(c_0_557,negated_conjecture,
( ~ hskp9
| hskp14
| hskp12
| c3_1(a476) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_237]),c_0_386]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp20
| epred17_0
| epred33_0
| epred36_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_559,negated_conjecture,
( hskp27
| hskp20
| epred1_0
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_236]),c_0_457]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp8
| hskp20
| epred19_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp15
| hskp20
| hskp8
| epred19_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_460]) ).
cnf(c_0_562,negated_conjecture,
( hskp6
| c0_1(X1)
| c1_1(X1)
| epred6_0
| epred49_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_394]),c_0_462]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp11
| hskp6
| hskp2
| c1_1(a478) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_413]),c_0_414]) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp3
| hskp9
| epred19_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp17
| c2_1(a494)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_465]),c_0_228]) ).
cnf(c_0_566,negated_conjecture,
( ~ c1_1(X1)
| hskp11
| hskp7
| c2_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_140])]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp2
| c1_1(a465)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_465]),c_0_257]) ).
cnf(c_0_568,negated_conjecture,
( ~ c1_1(X1)
| hskp21
| c2_1(X1)
| c3_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_467]),c_0_140])]) ).
cnf(c_0_569,negated_conjecture,
( ~ hskp0
| hskp9
| c1_1(a460)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_451]),c_0_452]) ).
cnf(c_0_570,negated_conjecture,
( hskp28
| hskp9
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred10_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_468]) ).
cnf(c_0_571,negated_conjecture,
( hskp27
| hskp9
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred1_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_212]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp6
| hskp5
| c0_1(a471)
| epred20_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_469]),c_0_205]) ).
cnf(c_0_573,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred39_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_191]) ).
cnf(c_0_574,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred25_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_336]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp11
| hskp4
| c1_1(a478)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_470]),c_0_414]) ).
cnf(c_0_576,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| epred10_0
| epred30_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_468]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp17
| hskp28
| c2_1(a494)
| epred10_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_468]),c_0_228]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp17
| c2_1(a494)
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_281]),c_0_228]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp9
| hskp25
| c3_1(a476)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_238]),c_0_386]) ).
cnf(c_0_580,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred4_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_199,c_0_226]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp14
| hskp0
| c0_1(a488)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_472]),c_0_214]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp17
| hskp27
| c2_1(a494)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_212]),c_0_228]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp2
| hskp27
| c1_1(a465)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_212]),c_0_257]) ).
cnf(c_0_584,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| hskp10
| c0_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_473]),c_0_140])]) ).
cnf(c_0_585,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp14
| c0_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_474]),c_0_140])]) ).
cnf(c_0_586,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp17
| c1_1(X1)
| epred41_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_475]),c_0_140])]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp17
| c2_1(a494)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_272]),c_0_227]) ).
cnf(c_0_588,negated_conjecture,
( ~ c0_1(X1)
| hskp12
| c2_1(X1)
| c3_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_476]),c_0_140])]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp14
| c0_1(a488)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_272]),c_0_214]) ).
cnf(c_0_590,negated_conjecture,
( ~ c0_1(X1)
| hskp3
| c2_1(X1)
| c3_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_477]),c_0_140])]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp11
| c1_1(a478)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_226]),c_0_414]) ).
cnf(c_0_592,negated_conjecture,
( ~ hskp14
| c0_1(a488)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_226]),c_0_213]) ).
cnf(c_0_593,negated_conjecture,
( ~ hskp2
| c1_1(a465)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_226]),c_0_256]) ).
cnf(c_0_594,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp9
| c1_1(X1)
| epred35_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_478]),c_0_140])]) ).
cnf(c_0_595,negated_conjecture,
( ~ hskp14
| c0_1(a488)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_255]),c_0_214]) ).
cnf(c_0_596,negated_conjecture,
( ~ c3_1(X1)
| hskp10
| c0_1(X1)
| c2_1(X1)
| epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_479]),c_0_140])]) ).
cnf(c_0_597,negated_conjecture,
( ~ hskp4
| c3_1(a467) ),
c_0_480 ).
cnf(c_0_598,negated_conjecture,
( ~ epred25_0
| ~ epred39_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_481,c_0_396]),c_0_161]),c_0_136]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred29_0
| epred25_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_408]),c_0_483]) ).
cnf(c_0_600,negated_conjecture,
( hskp20
| hskp18
| hskp9
| hskp2 ),
inference(spm,[status(thm)],[c_0_484,c_0_236]) ).
cnf(c_0_601,negated_conjecture,
( ~ hskp6
| hskp14
| hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_204]),c_0_205]),c_0_206]) ).
cnf(c_0_602,negated_conjecture,
( ~ hskp26
| hskp10
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_485]),c_0_251]) ).
cnf(c_0_603,negated_conjecture,
( ~ hskp11
| hskp26
| epred33_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_486,c_0_487]) ).
cnf(c_0_604,negated_conjecture,
( ~ hskp10
| epred45_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_336]),c_0_418]),c_0_419]) ).
cnf(c_0_605,negated_conjecture,
( ~ hskp26
| epred19_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_606,negated_conjecture,
( ~ hskp6
| hskp26
| hskp10
| epred33_0 ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_607,negated_conjecture,
( ~ hskp10
| epred19_0
| epred21_0 ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_608,negated_conjecture,
( ~ epred45_0
| epred6_0
| epred17_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_497]) ).
cnf(c_0_609,negated_conjecture,
( ~ c2_1(X1)
| hskp12
| hskp0
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_498,c_0_140])]) ).
cnf(c_0_610,negated_conjecture,
( ~ hskp20
| hskp6
| hskp2
| c0_1(a503) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_232]),c_0_323]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp26
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_321]),c_0_322]),c_0_411]) ).
cnf(c_0_612,negated_conjecture,
( hskp16
| hskp15
| hskp2
| epred48_0 ),
inference(spm,[status(thm)],[c_0_499,c_0_433]) ).
cnf(c_0_613,negated_conjecture,
( ~ hskp7
| hskp12
| hskp9
| hskp3
| epred24_0 ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_614,negated_conjecture,
( ~ hskp10
| ~ c0_1(a477)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_191]),c_0_419]) ).
cnf(c_0_615,negated_conjecture,
( ~ hskp10
| hskp11
| c0_1(a477)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_418]),c_0_488]) ).
cnf(c_0_616,negated_conjecture,
( ~ epred28_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_503,c_0_287]),c_0_376]) ).
cnf(c_0_617,negated_conjecture,
( epred28_0
| epred48_0
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506]) ).
cnf(c_0_618,negated_conjecture,
( ~ hskp20
| epred29_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_231]),c_0_232]),c_0_323]) ).
cnf(c_0_619,negated_conjecture,
( hskp20
| hskp9
| epred27_0 ),
inference(spm,[status(thm)],[c_0_507,c_0_236]) ).
cnf(c_0_620,negated_conjecture,
( ~ hskp21
| ~ c2_1(a512)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_508]),c_0_509]) ).
cnf(c_0_621,negated_conjecture,
( ~ hskp21
| hskp9
| c2_1(a512)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_509]),c_0_510]) ).
cnf(c_0_622,negated_conjecture,
( ~ hskp5
| hskp9
| epred26_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_175,c_0_511]) ).
cnf(c_0_623,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_512]),c_0_140])]) ).
cnf(c_0_624,negated_conjecture,
( ~ hskp23
| epred23_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_625,negated_conjecture,
( hskp2
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_515]),c_0_140])]) ).
cnf(c_0_626,negated_conjecture,
( ~ hskp23
| hskp27
| epred1_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_385]) ).
cnf(c_0_627,negated_conjecture,
( ~ hskp6
| ~ c0_1(a471)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_191]),c_0_204]) ).
cnf(c_0_628,negated_conjecture,
( ~ hskp6
| c0_1(a471)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_226]),c_0_205]) ).
cnf(c_0_629,negated_conjecture,
( ~ hskp0
| epred47_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_517]),c_0_451]),c_0_518]) ).
cnf(c_0_630,negated_conjecture,
( ~ hskp2
| hskp0
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_472]),c_0_256]),c_0_257]) ).
cnf(c_0_631,negated_conjecture,
( hskp0
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_519]),c_0_140])]) ).
cnf(c_0_632,negated_conjecture,
( ~ c0_1(X1)
| hskp7
| c2_1(X1)
| c3_1(X1)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_520]),c_0_140])]) ).
cnf(c_0_633,negated_conjecture,
( ~ hskp25
| epred29_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_173,c_0_521]) ).
cnf(c_0_634,negated_conjecture,
( hskp20
| hskp9
| epred5_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_522,c_0_266]) ).
cnf(c_0_635,negated_conjecture,
( ~ hskp26
| c0_1(a470)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_321]),c_0_411]) ).
cnf(c_0_636,negated_conjecture,
( ~ hskp4
| ~ c0_1(a467) ),
c_0_523 ).
cnf(c_0_637,negated_conjecture,
( ~ hskp28
| c0_1(a490) ),
c_0_524 ).
cnf(c_0_638,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_525]) ).
cnf(c_0_639,negated_conjecture,
( ~ hskp14
| ~ c0_1(a488)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_526]),c_0_213]) ).
cnf(c_0_640,negated_conjecture,
( ~ hskp5
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_149]),c_0_150]),c_0_440]) ).
cnf(c_0_641,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| epred9_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_528]) ).
cnf(c_0_642,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_529 ).
cnf(c_0_643,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| c2_1(X3)
| c0_1(X3)
| c0_1(X2)
| c0_1(X1) ),
c_0_530 ).
cnf(c_0_644,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_531 ).
cnf(c_0_645,negated_conjecture,
( ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c0_1(X2) ),
c_0_532 ).
cnf(c_0_646,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp14
| c0_1(X2) ),
c_0_533 ).
cnf(c_0_647,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp17
| c1_1(X2) ),
c_0_534 ).
cnf(c_0_648,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp3
| c3_1(X2)
| c2_1(X2) ),
c_0_535 ).
cnf(c_0_649,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp9
| c1_1(X2)
| c1_1(X1) ),
c_0_536 ).
cnf(c_0_650,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2) ),
c_0_537 ).
cnf(c_0_651,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp26
| c1_1(X2)
| c0_1(X2) ),
c_0_538 ).
cnf(c_0_652,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2) ),
c_0_539 ).
cnf(c_0_653,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp4
| c3_1(X2)
| c1_1(X2)
| c0_1(X2) ),
c_0_540 ).
cnf(c_0_654,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_541 ).
cnf(c_0_655,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_542 ).
cnf(c_0_656,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp9
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_543 ).
cnf(c_0_657,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp13
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_544 ).
cnf(c_0_658,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp21
| c3_1(X2)
| c2_1(X2)
| c2_1(X1) ),
c_0_545 ).
cnf(c_0_659,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c3_1(X2)
| c1_1(X2)
| c0_1(X2) ),
c_0_546 ).
cnf(c_0_660,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp2
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_547 ).
cnf(c_0_661,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp4
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_548 ).
cnf(c_0_662,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_549 ).
cnf(c_0_663,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp28
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_550 ).
cnf(c_0_664,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp0
| c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1) ),
c_0_551 ).
cnf(c_0_665,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp7
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_552 ).
cnf(c_0_666,negated_conjecture,
( ~ ndr1_0
| hskp0
| c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
c_0_553 ).
cnf(c_0_667,negated_conjecture,
( ~ hskp9
| ~ c2_1(a476)
| hskp18
| hskp2
| c1_1(a476)
| epred29_0 ),
inference(spm,[status(thm)],[c_0_447,c_0_554]) ).
cnf(c_0_668,negated_conjecture,
( ~ hskp0
| ~ c0_1(a460)
| hskp2
| hskp20
| hskp18
| c2_1(a460) ),
inference(spm,[status(thm)],[c_0_331,c_0_555]) ).
cnf(c_0_669,negated_conjecture,
( ~ hskp11
| ~ c2_1(a478)
| hskp14
| hskp12
| c0_1(a478)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_556]) ).
cnf(c_0_670,negated_conjecture,
( ~ hskp9
| ~ c0_1(a476)
| ~ c2_1(a476)
| hskp14
| hskp12
| epred32_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_557]) ).
cnf(c_0_671,negated_conjecture,
( hskp27
| epred1_0
| epred17_0
| epred33_0
| epred36_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_558,c_0_559]) ).
cnf(c_0_672,negated_conjecture,
( ~ hskp15
| epred28_0
| hskp20
| epred19_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_560,c_0_561]) ).
cnf(c_0_673,negated_conjecture,
( ~ hskp20
| hskp6
| c0_1(a503)
| epred6_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_562]) ).
cnf(c_0_674,negated_conjecture,
( ~ hskp11
| ~ c2_1(a478)
| hskp6
| hskp2
| c0_1(a478)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_563]) ).
cnf(c_0_675,negated_conjecture,
( hskp12
| epred1_0
| epred39_0
| hskp9
| epred19_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_564,c_0_276]) ).
cnf(c_0_676,negated_conjecture,
( ~ hskp17
| epred52_0
| hskp6
| hskp2
| c0_1(a494)
| c1_1(a494) ),
inference(spm,[status(thm)],[c_0_461,c_0_565]) ).
cnf(c_0_677,negated_conjecture,
( ~ hskp2
| epred52_0
| hskp11
| hskp7
| c2_1(a465)
| c3_1(a465) ),
inference(spm,[status(thm)],[c_0_566,c_0_567]) ).
cnf(c_0_678,negated_conjecture,
( ~ hskp2
| epred52_0
| hskp11
| c0_1(a465)
| c3_1(a465)
| epred31_0 ),
inference(spm,[status(thm)],[c_0_502,c_0_567]) ).
cnf(c_0_679,negated_conjecture,
( ~ hskp2
| epred52_0
| hskp21
| c2_1(a465)
| c3_1(a465)
| epred22_0 ),
inference(spm,[status(thm)],[c_0_568,c_0_567]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp0
| hskp9
| epred27_0
| hskp21
| c2_1(a460)
| c3_1(a460)
| epred22_0 ),
inference(spm,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_681,negated_conjecture,
( ~ hskp12
| hskp28
| hskp9
| c0_1(a480)
| c2_1(a480)
| epred10_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_570]) ).
cnf(c_0_682,negated_conjecture,
( ~ hskp12
| hskp27
| hskp9
| c0_1(a480)
| c2_1(a480)
| epred1_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_571]) ).
cnf(c_0_683,negated_conjecture,
( ~ hskp6
| hskp5
| epred20_0
| hskp18
| hskp2
| c1_1(a471)
| c3_1(a471) ),
inference(spm,[status(thm)],[c_0_409,c_0_572]) ).
cnf(c_0_684,negated_conjecture,
( ~ hskp26
| ~ c0_1(a470)
| ~ c2_1(a470)
| epred39_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_573,c_0_322]) ).
cnf(c_0_685,negated_conjecture,
( ~ hskp11
| ~ c2_1(a478)
| hskp4
| epred14_0
| c0_1(a478)
| epred25_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_574,c_0_575]) ).
cnf(c_0_686,negated_conjecture,
( ~ hskp14
| c1_1(a488)
| c2_1(a488)
| epred10_0
| epred30_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_211,c_0_576]) ).
cnf(c_0_687,negated_conjecture,
( ~ hskp17
| hskp28
| epred10_0
| hskp14
| hskp12
| c1_1(a494)
| c3_1(a494) ),
inference(spm,[status(thm)],[c_0_453,c_0_577]) ).
cnf(c_0_688,negated_conjecture,
( ~ hskp17
| hskp28
| epred10_0
| hskp26
| c0_1(a494)
| c1_1(a494)
| epred33_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_577]) ).
cnf(c_0_689,negated_conjecture,
( ~ hskp17
| epred46_0
| hskp14
| hskp12
| c1_1(a494)
| c3_1(a494) ),
inference(spm,[status(thm)],[c_0_453,c_0_578]) ).
cnf(c_0_690,negated_conjecture,
( ~ hskp9
| ~ c0_1(a476)
| ~ c2_1(a476)
| hskp25
| epred5_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_579]) ).
cnf(c_0_691,negated_conjecture,
( ~ c2_1(a503)
| ~ hskp20
| c0_1(a503)
| epred4_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_580]) ).
cnf(c_0_692,negated_conjecture,
( ~ hskp14
| hskp0
| epred3_0
| hskp25
| c1_1(a488)
| c3_1(a488)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_581]) ).
cnf(c_0_693,negated_conjecture,
( ~ hskp17
| hskp27
| epred1_0
| hskp26
| c0_1(a494)
| c1_1(a494)
| epred33_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_582]) ).
cnf(c_0_694,negated_conjecture,
( ~ hskp2
| hskp27
| epred1_0
| hskp11
| c0_1(a465)
| c3_1(a465)
| epred31_0 ),
inference(spm,[status(thm)],[c_0_502,c_0_583]) ).
cnf(c_0_695,negated_conjecture,
( ~ hskp20
| ~ c2_1(a503)
| hskp10
| c0_1(a503)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_584,c_0_231]) ).
cnf(c_0_696,negated_conjecture,
( ~ hskp26
| ~ c1_1(a470)
| hskp14
| c0_1(a470)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_585,c_0_321]) ).
cnf(c_0_697,negated_conjecture,
( ~ hskp15
| ~ c1_1(a492)
| hskp14
| c0_1(a492)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_585,c_0_277]) ).
cnf(c_0_698,negated_conjecture,
( ~ hskp20
| ~ c0_1(a503)
| hskp17
| c1_1(a503)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_586,c_0_232]) ).
cnf(c_0_699,negated_conjecture,
( ~ hskp9
| ~ c0_1(a476)
| hskp17
| c1_1(a476)
| epred41_0 ),
inference(spm,[status(thm)],[c_0_586,c_0_237]) ).
cnf(c_0_700,negated_conjecture,
( ~ hskp17
| epred6_0
| hskp14
| hskp12
| c1_1(a494)
| c3_1(a494) ),
inference(spm,[status(thm)],[c_0_453,c_0_587]) ).
cnf(c_0_701,negated_conjecture,
( ~ hskp14
| epred6_0
| hskp12
| c2_1(a488)
| c3_1(a488)
| epred12_0 ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_702,negated_conjecture,
( ~ hskp8
| hskp3
| c2_1(a475)
| c3_1(a475)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_590,c_0_312]) ).
cnf(c_0_703,negated_conjecture,
( ~ hskp0
| hskp3
| c2_1(a460)
| c3_1(a460)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_590,c_0_451]) ).
cnf(c_0_704,negated_conjecture,
( ~ hskp11
| ~ c2_1(a478)
| epred4_0
| c0_1(a478)
| epred19_0 ),
inference(spm,[status(thm)],[c_0_387,c_0_591]) ).
cnf(c_0_705,negated_conjecture,
( ~ hskp14
| epred4_0
| hskp9
| c1_1(a488)
| c2_1(a488)
| epred26_0 ),
inference(spm,[status(thm)],[c_0_439,c_0_592]) ).
cnf(c_0_706,negated_conjecture,
( ~ hskp14
| epred4_0
| hskp25
| c1_1(a488)
| c3_1(a488)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_592]) ).
cnf(c_0_707,negated_conjecture,
( ~ hskp2
| epred4_0
| c0_1(a465)
| c2_1(a465)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_593]) ).
cnf(c_0_708,negated_conjecture,
( ~ hskp2
| epred4_0
| hskp11
| c0_1(a465)
| c3_1(a465)
| epred31_0 ),
inference(spm,[status(thm)],[c_0_502,c_0_593]) ).
cnf(c_0_709,negated_conjecture,
( ~ hskp2
| epred4_0
| hskp8
| c0_1(a465)
| c2_1(a465)
| epred28_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_593]) ).
cnf(c_0_710,negated_conjecture,
( ~ hskp20
| ~ c0_1(a503)
| hskp9
| c1_1(a503)
| epred35_0 ),
inference(spm,[status(thm)],[c_0_594,c_0_231]) ).
cnf(c_0_711,negated_conjecture,
( ~ hskp14
| epred2_0
| hskp25
| c1_1(a488)
| c3_1(a488)
| epred5_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_595]) ).
cnf(c_0_712,negated_conjecture,
( ~ hskp4
| hskp10
| c0_1(a467)
| c2_1(a467)
| epred34_0 ),
inference(spm,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_713,negated_conjecture,
( ~ epred29_0
| ~ epred39_0
| ~ epred52_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_598,c_0_599]) ).
cnf(c_0_714,negated_conjecture,
( hskp20
| hskp9
| hskp2
| epred19_0 ),
inference(spm,[status(thm)],[c_0_458,c_0_600]) ).
cnf(c_0_715,negated_conjecture,
( ~ hskp11
| hskp14
| hskp12
| epred45_0 ),
inference(spm,[status(thm)],[c_0_486,c_0_556]) ).
cnf(c_0_716,negated_conjecture,
( hskp20
| hskp14
| hskp12 ),
inference(spm,[status(thm)],[c_0_601,c_0_269]) ).
cnf(c_0_717,negated_conjecture,
( ~ hskp11
| epred33_0
| epred39_0
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_604]) ).
cnf(c_0_718,negated_conjecture,
( ~ hskp6
| epred19_0
| epred21_0
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_606]),c_0_607]) ).
cnf(c_0_719,negated_conjecture,
( ~ epred29_0
| ~ epred45_0
| ~ epred48_0
| epred17_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_482,c_0_608]) ).
cnf(c_0_720,negated_conjecture,
( ~ hskp11
| hskp12
| hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_413]),c_0_414]),c_0_412]) ).
cnf(c_0_721,negated_conjecture,
( ~ hskp20
| hskp6
| hskp2
| epred32_0 ),
inference(spm,[status(thm)],[c_0_263,c_0_610]) ).
cnf(c_0_722,negated_conjecture,
( ~ hskp11
| epred30_0
| epred33_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_611,c_0_603]) ).
cnf(c_0_723,negated_conjecture,
( hskp15
| hskp2
| epred28_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_432]),c_0_612]) ).
cnf(c_0_724,negated_conjecture,
( ~ hskp7
| hskp12
| hskp9
| epred19_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_564,c_0_613]) ).
cnf(c_0_725,negated_conjecture,
( ~ hskp7
| hskp12
| hskp9
| epred17_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_275,c_0_613]) ).
cnf(c_0_726,negated_conjecture,
( ~ hskp14
| epred52_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_465]),c_0_213]),c_0_214]) ).
cnf(c_0_727,negated_conjecture,
( ~ hskp10
| hskp11
| epred31_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_614,c_0_615]) ).
cnf(c_0_728,negated_conjecture,
( ~ epred29_0
| epred48_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_729,negated_conjecture,
( hskp9
| epred27_0
| epred29_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_619]) ).
cnf(c_0_730,negated_conjecture,
( ~ hskp21
| hskp9
| epred26_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_620,c_0_621]) ).
cnf(c_0_731,negated_conjecture,
( hskp11
| hskp9
| epred26_0
| epred39_0 ),
inference(spm,[status(thm)],[c_0_622,c_0_134]) ).
cnf(c_0_732,negated_conjecture,
( ~ hskp6
| epred50_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_623]),c_0_204]),c_0_205]) ).
cnf(c_0_733,negated_conjecture,
( hskp20
| hskp9
| epred23_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_624,c_0_236]) ).
cnf(c_0_734,negated_conjecture,
( ~ hskp17
| hskp2
| epred18_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_625]),c_0_227]),c_0_228]) ).
cnf(c_0_735,negated_conjecture,
( hskp27
| hskp20
| hskp9
| epred1_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_626,c_0_236]) ).
cnf(c_0_736,negated_conjecture,
( ~ hskp10
| epred19_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_614,c_0_494]) ).
cnf(c_0_737,negated_conjecture,
( ~ hskp17
| hskp4
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_470]),c_0_227]),c_0_228]) ).
cnf(c_0_738,negated_conjecture,
( ~ hskp6
| epred4_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_627,c_0_628]) ).
cnf(c_0_739,negated_conjecture,
( ~ hskp2
| epred3_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_629,c_0_630]) ).
cnf(c_0_740,negated_conjecture,
( ~ hskp14
| hskp28
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_468]),c_0_213]),c_0_214]) ).
cnf(c_0_741,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred39_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_145,c_0_336]) ).
cnf(c_0_742,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred32_0
| epred45_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_336]) ).
cnf(c_0_743,negated_conjecture,
( ~ hskp12
| hskp0
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_631]),c_0_273]),c_0_274]) ).
cnf(c_0_744,negated_conjecture,
( ~ hskp0
| hskp7
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_451]),c_0_518]),c_0_452]) ).
cnf(c_0_745,negated_conjecture,
( hskp9
| epred5_0
| epred29_0
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_266]),c_0_618]) ).
cnf(c_0_746,negated_conjecture,
( hskp9
| epred5_0
| epred29_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_618,c_0_634]) ).
cnf(c_0_747,negated_conjecture,
( hskp5
| hskp14
| epred32_0 ),
inference(spm,[status(thm)],[c_0_522,c_0_216]) ).
cnf(c_0_748,negated_conjecture,
( ~ hskp26
| epred21_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_489,c_0_635]) ).
cnf(c_0_749,negated_conjecture,
( ~ hskp4
| ~ c2_1(a467)
| epred25_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_597]),c_0_636]) ).
cnf(c_0_750,negated_conjecture,
( ~ hskp28
| epred21_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_402]),c_0_637]),c_0_403]) ).
cnf(c_0_751,negated_conjecture,
( ~ hskp15
| epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_277]),c_0_278]),c_0_318]) ).
cnf(c_0_752,negated_conjecture,
( ~ hskp14
| epred6_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_639,c_0_589]) ).
cnf(c_0_753,negated_conjecture,
( hskp11
| epred11_0 ),
inference(spm,[status(thm)],[c_0_640,c_0_134]) ).
cnf(c_0_754,negated_conjecture,
( ~ hskp28
| epred32_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_403]),c_0_637]) ).
cnf(c_0_755,negated_conjecture,
( ~ hskp11
| epred9_0
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_413]),c_0_414]) ).
cnf(c_0_756,negated_conjecture,
( ~ epred25_0
| ~ epred50_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_642,c_0_512]),c_0_284]),c_0_161]) ).
cnf(c_0_757,negated_conjecture,
( ~ epred17_0
| ~ epred25_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_294]),c_0_161]),c_0_207]) ).
cnf(c_0_758,negated_conjecture,
( ~ epred6_0
| ~ epred17_0
| ~ epred47_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_644,c_0_445]),c_0_242]),c_0_207]) ).
cnf(c_0_759,negated_conjecture,
( ~ epred21_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_473]),c_0_349]) ).
cnf(c_0_760,negated_conjecture,
( ~ epred32_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_646,c_0_474]),c_0_155]) ).
cnf(c_0_761,negated_conjecture,
( ~ epred32_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_647,c_0_475]),c_0_155]) ).
cnf(c_0_762,negated_conjecture,
( ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_648,c_0_477]),c_0_136]) ).
cnf(c_0_763,negated_conjecture,
( ~ epred35_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_649,c_0_478]),c_0_291]) ).
cnf(c_0_764,negated_conjecture,
( ~ epred21_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_650,c_0_479]),c_0_349]) ).
cnf(c_0_765,negated_conjecture,
( ~ epred32_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_651,c_0_292]),c_0_155]) ).
cnf(c_0_766,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_652,c_0_429]),c_0_155]) ).
cnf(c_0_767,negated_conjecture,
( ~ epred14_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_653,c_0_400]),c_0_295]) ).
cnf(c_0_768,negated_conjecture,
( ~ epred19_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_654,c_0_369]),c_0_327]) ).
cnf(c_0_769,negated_conjecture,
( ~ epred19_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_655,c_0_370]),c_0_327]) ).
cnf(c_0_770,negated_conjecture,
( ~ epred24_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_656,c_0_334]),c_0_161]) ).
cnf(c_0_771,negated_conjecture,
( ~ epred19_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_657,c_0_375]),c_0_327]) ).
cnf(c_0_772,negated_conjecture,
( ~ epred11_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_658,c_0_467]),c_0_449]) ).
cnf(c_0_773,negated_conjecture,
( ~ epred20_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_659,c_0_399]),c_0_349]) ).
cnf(c_0_774,negated_conjecture,
( ~ epred18_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_660,c_0_515]),c_0_327]) ).
cnf(c_0_775,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_661,c_0_400]),c_0_525]) ).
cnf(c_0_776,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_662,c_0_476]),c_0_448]) ).
cnf(c_0_777,negated_conjecture,
( ~ epred10_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_663,c_0_398]),c_0_449]) ).
cnf(c_0_778,negated_conjecture,
( ~ epred8_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_664,c_0_519]),c_0_450]) ).
cnf(c_0_779,negated_conjecture,
( ~ epred2_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_665,c_0_520]),c_0_222]) ).
cnf(c_0_780,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_666,c_0_404]),c_0_181]) ).
cnf(c_0_781,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,c_0_699,c_0_700,c_0_701,c_0_702,c_0_703,c_0_704,c_0_705,c_0_706,c_0_707,c_0_708,c_0_709,c_0_710,c_0_711,c_0_712,c_0_713,c_0_483,c_0_342,c_0_714,c_0_600,c_0_715,c_0_716,c_0_601,c_0_717,c_0_718,c_0_719,c_0_720,c_0_721,c_0_610,c_0_383,c_0_722,c_0_603,c_0_723,c_0_306,c_0_724,c_0_725,c_0_726,c_0_727,c_0_728,c_0_729,c_0_619,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_735,c_0_736,c_0_737,c_0_362,c_0_738,c_0_739,c_0_629,c_0_740,c_0_741,c_0_742,c_0_604,c_0_743,c_0_310,c_0_744,c_0_251,c_0_454,c_0_745,c_0_307,c_0_746,c_0_747,c_0_522,c_0_266,c_0_618,c_0_748,c_0_264,c_0_749,c_0_750,c_0_630,c_0_458,c_0_275,c_0_751,c_0_752,c_0_249,c_0_753,c_0_640,c_0_305,c_0_258,c_0_279,c_0_754,c_0_755,c_0_598,c_0_756,c_0_757,c_0_482,c_0_758,c_0_495,c_0_759,c_0_760,c_0_761,c_0_762,c_0_763,c_0_764,c_0_765,c_0_766,c_0_767,c_0_616,c_0_768,c_0_769,c_0_770,c_0_771,c_0_772,c_0_773,c_0_774,c_0_775,c_0_776,c_0_777,c_0_778,c_0_779,c_0_340,c_0_780,c_0_354,c_0_452,c_0_518,c_0_254,c_0_257,c_0_256,c_0_636,c_0_206,c_0_205,c_0_311,c_0_386,c_0_274,c_0_273,c_0_211,c_0_214,c_0_213,c_0_225,c_0_228,c_0_227,c_0_323,c_0_414,c_0_237,c_0_413,c_0_232,c_0_411,c_0_403,c_0_278,c_0_322,c_0_402,c_0_451,c_0_238,c_0_637,c_0_216]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN448-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.46 % Computer : n009.cluster.edu
% 0.16/0.46 % Model : x86_64 x86_64
% 0.16/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.46 % Memory : 8046.5625MB
% 0.16/0.46 % OS : Linux 6.8.0-71-generic
% 0.16/0.46 % CPULimit : 300
% 0.16/0.46 % WCLimit : 300
% 0.16/0.46 % DateTime : Mon Sep 21 10:57:27 UTC 2026
% 0.16/0.47 % CPUTime :
% 0.16/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.54 Running first-order theorem proving
% 0.22/0.54 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
% 18.22/3.37 % Version: 3.5.1
% 18.22/3.37 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.22/3.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.22/3.37 % Starting new_bool_3 with 300s (1) cores
% 18.22/3.37 % Starting new_bool_1 with 300s (1) cores
% 18.22/3.37 % Starting sh5l with 300s (1) cores
% 18.22/3.37 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1576901 completed with status 0
% 18.22/3.37 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.22/3.37 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.22/3.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.22/3.37 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.22/3.37 % No SInE strategy applied
% 18.22/3.37 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.22/3.37 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.22/3.37 % Starting SubtermCWHack with 151s (1) cores
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.22/3.37 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 18.22/3.37 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 18.22/3.37 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 1576907 completed with status 0
% 18.22/3.37 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 18.22/3.37 % Preprocessing class: FSLSSLSMSSSNFFN.
% 18.22/3.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 18.22/3.37 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.22/3.37 % No SInE strategy applied
% 18.22/3.37 % Search class: FGHNF-FSMM00-SFFFFFNN
% 18.22/3.37 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.22/3.37 % Starting SubtermCWHack with 151s (1) cores
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 18.22/3.37 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 18.22/3.37 % Preprocessing time : 0.003 s
% 18.22/3.37 % SatCheck found unsatisfiable ground set
% 18.22/3.37
% 18.22/3.37 % Proof found!
% 18.22/3.37 % SZS status Unsatisfiable
% 18.22/3.37 % SZS output start CNFRefutation
% See solution above
% 18.22/3.37 % Parsed axioms : 176
% 18.22/3.37 % Removed by relevancy pruning/SinE : 0
% 18.22/3.37 % Initial clauses : 176
% 18.22/3.37 % Removed in clause preprocessing : 0
% 18.22/3.37 % Initial clauses in saturation : 176
% 18.22/3.37 % Processed clauses : 7804
% 18.22/3.37 % ...of these trivial : 0
% 18.22/3.37 % ...subsumed : 2804
% 18.22/3.37 % ...remaining for further processing : 5000
% 18.22/3.37 % Other redundant clauses eliminated : 0
% 18.22/3.37 % Clauses deleted for lack of memory : 0
% 18.22/3.37 % Backward-subsumed : 1490
% 18.22/3.37 % Backward-rewritten : 46
% 18.22/3.37 % Generated clauses : 50201
% 18.22/3.37 % ...of the previous two non-redundant : 47109
% 18.22/3.37 % ...aggressively subsumed : 0
% 18.22/3.37 % Contextual simplify-reflections : 642
% 18.22/3.37 % Paramodulations : 50114
% 18.22/3.37 % Factorizations : 0
% 18.22/3.37 % NegExts : 0
% 18.22/3.37 % Equation resolutions : 0
% 18.22/3.37 % Disequality decompositions : 0
% 18.22/3.37 % Total rewrite steps : 80
% 18.22/3.37 % ...of those cached : 79
% 18.22/3.37 % Propositional unsat checks : 1
% 18.22/3.37 % Propositional check models : 0
% 18.22/3.37 % Propositional check unsatisfiable : 1
% 18.22/3.37 % Propositional clauses : 42281
% 18.22/3.37 % Propositional clauses after purity: 41563
% 18.22/3.37 % Propositional unsat core size : 180
% 18.22/3.37 % Propositional preprocessing time : 0.000
% 18.22/3.37 % Propositional encoding time : 0.031
% 18.22/3.37 % Propositional solver time : 0.096
% 18.22/3.37 % Success case prop preproc time : 0.000
% 18.22/3.37 % Success case prop encoding time : 0.031
% 18.22/3.37 % Success case prop solver time : 0.096
% 18.22/3.37 % Current number of processed clauses : 3429
% 18.22/3.37 % Positive orientable unit clauses : 1
% 18.22/3.37 % Positive unorientable unit clauses: 0
% 18.22/3.37 % Negative unit clauses : 0
% 18.22/3.37 % Non-unit-clauses : 3428
% 18.22/3.37 % Current number of unprocessed clauses: 38852
% 18.22/3.37 % ...number of literals in the above : 262087
% 18.22/3.37 % Current number of archived formulas : 0
% 18.22/3.37 % Current number of archived clauses : 1536
% 18.22/3.37 % Clause-clause subsumption calls (NU) : 5728220
% 18.22/3.37 % Rec. Clause-clause subsumption calls : 343372
% 18.22/3.37 % Non-unit clause-clause subsumptions : 4984
% 18.22/3.37 % Unit Clause-clause subsumption calls : 6
% 18.22/3.37 % Rewrite failures with RHS unbound : 0
% 18.22/3.37 % BW rewrite match attempts : 1
% 18.22/3.37 % BW rewrite match successes : 1
% 18.22/3.37 % Condensation attempts : 7804
% 18.22/3.37 % Condensation successes : 0
% 18.22/3.37 % Termbank termtop insertions : 468002
% 18.22/3.37 % Search garbage collected termcells : 423
% 18.22/3.37
% 18.22/3.37 % -------------------------------------------------
% 18.22/3.37 % User time : 2.642 s
% 18.22/3.37 % System time : 0.071 s
% 18.22/3.37 % Total time : 2.714 s
% 18.22/3.37 % Maximum resident set size: 4028 pages
% 18.22/3.37
% 18.22/3.37 % -------------------------------------------------
% 18.22/3.37 % User time : 12.678 s
% 18.22/3.37 % System time : 0.314 s
% 18.22/3.37 % Total time : 12.992 s
% 18.22/3.37 % Maximum resident set size: 4864 pages
% 18.22/3.37 % E exiting
%------------------------------------------------------------------------------