%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN475-1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:25:00 PM UTC 2026
% Result : Unsatisfiable 12.22s 2.29s
% Output : CNFRefutation 12.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 152
% Syntax : Number of formulae : 585 ( 2 unt; 0 def)
% Number of atoms : 2281 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2884 (1188 ~;1655 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 70 ( 69 usr; 66 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 305 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause4,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(clause27,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
cnf(clause33,negated_conjecture,
( hskp26
| hskp3
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause138,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp23
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause56,negated_conjecture,
( ~ hskp21
| c2_1(a1041) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause94,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1041) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
cnf(clause119,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1008) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause73,negated_conjecture,
( ~ hskp7
| c2_1(a1008) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause118,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1008) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause149,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
cnf(clause105,negated_conjecture,
( ~ hskp15
| ~ c0_1(a1026) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
cnf(clause62,negated_conjecture,
( ~ hskp15
| c2_1(a1026) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause106,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1026) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
cnf(clause72,negated_conjecture,
( ~ hskp8
| c3_1(a1010) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
cnf(clause71,negated_conjecture,
( ~ hskp8
| c0_1(a1010) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(clause117,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1010) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause83,negated_conjecture,
( ~ hskp0
| c0_1(a1000) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( ~ hskp0
| c2_1(a1000) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause129,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1000) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause78,negated_conjecture,
( ~ hskp3
| c1_1(a1003) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause125,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1003) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1003) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause124,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1004) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause77,negated_conjecture,
( ~ hskp4
| c2_1(a1004) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause93,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1041) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
cnf(clause134,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp1
| hskp2
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause50,negated_conjecture,
( ~ hskp25
| c1_1(a1048) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause87,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1048) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause65,negated_conjecture,
( ~ hskp12
| c1_1(a1019) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(clause111,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1019) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause49,negated_conjecture,
( ~ hskp26
| c3_1(a1052) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause86,negated_conjecture,
( ~ hskp26
| ~ c2_1(a1052) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause54,negated_conjecture,
( ~ hskp23
| c1_1(a1044) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause90,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1044) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause85,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1052) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause135,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| hskp28
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
cnf(clause139,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp25
| hskp3
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause132,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| hskp8
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause141,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp8
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
cnf(clause140,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| hskp24
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
cnf(clause42,negated_conjecture,
( ~ hskp29
| c3_1(a1040) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause41,negated_conjecture,
( ~ hskp29
| c1_1(a1040) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause40,negated_conjecture,
( ~ hskp29
| c0_1(a1040) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause53,negated_conjecture,
( ~ hskp23
| c0_1(a1044) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause52,negated_conjecture,
( ~ hskp24
| c3_1(a1045) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause51,negated_conjecture,
( ~ hskp24
| c1_1(a1045) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause89,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1045) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause60,negated_conjecture,
( ~ hskp17
| c3_1(a1032) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause59,negated_conjecture,
( ~ hskp17
| c2_1(a1032) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(clause102,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1032) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
cnf(clause76,negated_conjecture,
( ~ hskp4
| c1_1(a1004) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause100,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1037) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause99,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1037) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause98,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1037) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause64,negated_conjecture,
( ~ hskp13
| c3_1(a1023) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause63,negated_conjecture,
( ~ hskp14
| c0_1(a1025) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause67,negated_conjecture,
( ~ hskp11
| c3_1(a1015) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
cnf(clause108,negated_conjecture,
( ~ hskp14
| ~ c3_1(a1025) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause75,negated_conjecture,
( ~ hskp6
| c3_1(a1006) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
cnf(clause74,negated_conjecture,
( ~ hskp6
| c0_1(a1006) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause120,negated_conjecture,
( ~ hskp6
| ~ c2_1(a1006) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause123,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1005) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause121,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1005) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause122,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1005) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause43,negated_conjecture,
( ~ hskp28
| c0_1(a1033) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause44,negated_conjecture,
( ~ hskp28
| c1_1(a1033) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause45,negated_conjecture,
( ~ hskp28
| c2_1(a1033) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause113,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1015) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause82,negated_conjecture,
( ~ hskp1
| c3_1(a1001) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( ~ hskp1
| c2_1(a1001) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause128,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1001) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause38,negated_conjecture,
( hskp7
| hskp21
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause112,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1015) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause66,negated_conjecture,
( ~ hskp12
| c2_1(a1019) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(clause88,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1048) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause79,negated_conjecture,
( ~ hskp2
| c0_1(a1002) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause80,negated_conjecture,
( ~ hskp2
| c2_1(a1002) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause127,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1002) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause143,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp23
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause192,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
cnf(clause190,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause189,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
cnf(clause186,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause185,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause184,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause183,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
cnf(clause182,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause174,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause179,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp6
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
cnf(clause176,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause177,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp14
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause178,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause165,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause164,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp4
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
cnf(clause167,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause166,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause168,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp13
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause173,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp15
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause154,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
cnf(clause159,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause158,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(clause161,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause162,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
cnf(clause110,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1023) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause109,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1023) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause107,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1025) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
cnf(clause39,negated_conjecture,
( hskp19
| hskp25
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause32,negated_conjecture,
( hskp5
| hskp12
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(c_0_111,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_112,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause4]) ).
cnf(c_0_113,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause27]) ).
cnf(c_0_114,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7 ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_115,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
c_0_111 ).
cnf(c_0_116,negated_conjecture,
( hskp26
| hskp3
| hskp29 ),
clause33 ).
cnf(c_0_117,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
c_0_112 ).
cnf(c_0_118,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
c_0_113 ).
cnf(c_0_119,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp7 ),
c_0_114 ).
cnf(c_0_120,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]) ).
fof(c_0_121,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_122,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp23
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_123,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp7 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_124,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_121]) ).
cnf(c_0_125,negated_conjecture,
( ~ hskp21
| c2_1(a1041) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_126,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1041) ),
inference(fof_simplification,[status(thm)],[clause94]) ).
fof(c_0_127,plain,
( ~ epred14_0
<=> ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1008) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_129,negated_conjecture,
( ~ hskp7
| c2_1(a1008) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1008) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
fof(c_0_131,plain,
( ~ epred58_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_132,plain,
( ~ epred16_0
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_133,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp24 ),
inference(fof_simplification,[status(thm)],[clause149]) ).
cnf(c_0_134,negated_conjecture,
( ~ hskp15
| ~ c0_1(a1026) ),
inference(fof_simplification,[status(thm)],[clause105]) ).
fof(c_0_135,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c2_1(X2)
| c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_136,negated_conjecture,
( ~ hskp15
| c2_1(a1026) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_137,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1026) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
fof(c_0_138,plain,
( ~ epred38_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp15 ) ),
introduced(definition) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp8
| c3_1(a1010) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp8
| c0_1(a1010) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1010) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_142,negated_conjecture,
( ~ hskp0
| c0_1(a1000) ),
inference(fof_simplification,[status(thm)],[clause83]) ).
cnf(c_0_143,negated_conjecture,
( ~ hskp0
| c2_1(a1000) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1000) ),
inference(fof_simplification,[status(thm)],[clause129]) ).
cnf(c_0_145,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp23
| c1_1(X1) ),
c_0_122 ).
fof(c_0_146,plain,
( ~ epred13_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_147,negated_conjecture,
( ~ hskp3
| c1_1(a1003) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_148,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1003) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1003) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
fof(c_0_150,plain,
( ~ epred60_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1004) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
fof(c_0_152,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_153,negated_conjecture,
( ~ hskp4
| c2_1(a1004) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
fof(c_0_154,plain,
( ~ epred54_0
<=> ! [X3] :
( ~ c2_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1041) ),
inference(fof_simplification,[status(thm)],[clause93]) ).
cnf(c_0_156,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp7
| epred30_0 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_157,negated_conjecture,
( ~ hskp21
| c2_1(a1041) ),
c_0_125 ).
cnf(c_0_158,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1041) ),
c_0_126 ).
cnf(c_0_159,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
cnf(c_0_160,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1008) ),
c_0_128 ).
cnf(c_0_161,negated_conjecture,
( ~ hskp7
| c2_1(a1008) ),
c_0_129 ).
cnf(c_0_162,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1008) ),
c_0_130 ).
cnf(c_0_163,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp1
| hskp2
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
fof(c_0_164,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp25
| c1_1(a1048) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1048) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
fof(c_0_167,plain,
( ~ epred33_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
fof(c_0_168,plain,
( ~ epred31_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
( ~ hskp12
| c1_1(a1019) ),
inference(fof_simplification,[status(thm)],[clause65]) ).
cnf(c_0_170,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1019) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
fof(c_0_171,plain,
( ~ epred29_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp13 ) ),
introduced(definition) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp26
| c3_1(a1052) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp26
| ~ c2_1(a1052) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
fof(c_0_174,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp3 ) ),
introduced(definition) ).
cnf(c_0_175,negated_conjecture,
( ~ hskp23
| c1_1(a1044) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_176,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1044) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
fof(c_0_177,plain,
( ~ epred15_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| c1_1(X1)
| hskp7 ) ),
introduced(definition) ).
fof(c_0_178,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred58_0 ),
inference(split_equiv,[status(thm)],[c_0_131]) ).
cnf(c_0_180,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_132]) ).
fof(c_0_181,plain,
( ~ epred53_0
<=> ! [X3] :
( ~ c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1052) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
fof(c_0_183,plain,
( ~ epred51_0
<=> ! [X3] :
( c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_184,plain,
( ~ epred32_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_185,plain,
( ~ epred49_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_186,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp24 ),
c_0_133 ).
fof(c_0_187,plain,
( ~ epred56_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_188,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| hskp28
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
cnf(c_0_189,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp25
| hskp3
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_190,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| hskp8
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause132]) ).
cnf(c_0_191,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp8
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause141]) ).
cnf(c_0_192,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| hskp24
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause140]) ).
fof(c_0_193,plain,
( ~ epred40_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp8 ) ),
introduced(definition) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp15
| ~ c0_1(a1026) ),
c_0_134 ).
cnf(c_0_195,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_135]) ).
cnf(c_0_196,negated_conjecture,
( ~ hskp15
| c2_1(a1026) ),
c_0_136 ).
cnf(c_0_197,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1026) ),
c_0_137 ).
cnf(c_0_198,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp15
| c1_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_120])]) ).
cnf(c_0_199,negated_conjecture,
( ~ hskp8
| c3_1(a1010) ),
c_0_139 ).
cnf(c_0_200,negated_conjecture,
( ~ hskp8
| c0_1(a1010) ),
c_0_140 ).
cnf(c_0_201,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1010) ),
c_0_141 ).
cnf(c_0_202,negated_conjecture,
( ~ hskp0
| c0_1(a1000) ),
c_0_142 ).
cnf(c_0_203,negated_conjecture,
( ~ hskp0
| c2_1(a1000) ),
c_0_143 ).
cnf(c_0_204,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1000) ),
c_0_144 ).
cnf(c_0_205,negated_conjecture,
( ~ hskp29
| c3_1(a1040) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_206,negated_conjecture,
( ~ hskp29
| c1_1(a1040) ),
inference(fof_simplification,[status(thm)],[clause41]) ).
fof(c_0_207,plain,
( ~ epred36_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp4 ) ),
introduced(definition) ).
cnf(c_0_208,negated_conjecture,
( ~ hskp29
| c0_1(a1040) ),
inference(fof_simplification,[status(thm)],[clause40]) ).
cnf(c_0_209,negated_conjecture,
( ~ hskp23
| c0_1(a1044) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
fof(c_0_210,plain,
( ~ epred27_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp15 ) ),
introduced(definition) ).
cnf(c_0_211,negated_conjecture,
( ~ hskp24
| c3_1(a1045) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp24
| c1_1(a1045) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1045) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
fof(c_0_214,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_215,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp23
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_120])]) ).
cnf(c_0_216,negated_conjecture,
( ~ c1_1(X1)
| hskp8
| c0_1(X1)
| c2_1(X1)
| epred13_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_146]),c_0_120])]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp3
| c1_1(a1003) ),
c_0_147 ).
cnf(c_0_218,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1003) ),
c_0_148 ).
cnf(c_0_219,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1003) ),
c_0_149 ).
fof(c_0_220,plain,
( ~ epred25_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_221,plain,
( ~ epred12_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp12 ) ),
introduced(definition) ).
fof(c_0_222,plain,
( ~ epred8_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp17
| c3_1(a1032) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_224,negated_conjecture,
( ~ hskp17
| c2_1(a1032) ),
inference(fof_simplification,[status(thm)],[clause59]) ).
fof(c_0_225,plain,
( ~ epred61_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1032) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
cnf(c_0_227,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred60_0 ),
inference(split_equiv,[status(thm)],[c_0_150]) ).
cnf(c_0_228,negated_conjecture,
( ~ hskp4
| c1_1(a1004) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1004) ),
c_0_151 ).
cnf(c_0_230,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred28_0 ),
inference(split_equiv,[status(thm)],[c_0_152]) ).
cnf(c_0_231,negated_conjecture,
( ~ hskp4
| c2_1(a1004) ),
c_0_153 ).
cnf(c_0_232,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
cnf(c_0_233,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1041) ),
c_0_155 ).
cnf(c_0_234,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1037) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1037) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
cnf(c_0_236,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1037) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_237,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1041)
| hskp7
| epred30_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_238,negated_conjecture,
( ~ hskp21
| c1_1(a1041)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_157]) ).
cnf(c_0_239,negated_conjecture,
( ~ hskp7
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_159]),c_0_161]),c_0_162]) ).
fof(c_0_240,plain,
( ~ epred50_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_241,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp1
| hskp2
| c3_1(X1)
| c0_1(X1) ),
c_0_163 ).
cnf(c_0_242,negated_conjecture,
( ~ c1_1(X1)
| hskp0
| c0_1(X1)
| c2_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_164]),c_0_120])]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp25
| c1_1(a1048) ),
c_0_165 ).
cnf(c_0_244,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1048) ),
c_0_166 ).
fof(c_0_245,plain,
( ~ epred62_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_246,negated_conjecture,
( ~ c2_1(X1)
| hskp11
| c0_1(X1)
| c3_1(X1)
| epred33_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_167]),c_0_120])]) ).
fof(c_0_247,plain,
( ~ epred44_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp5 ) ),
introduced(definition) ).
cnf(c_0_248,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_168]),c_0_120])]) ).
cnf(c_0_249,negated_conjecture,
( ~ hskp12
| c1_1(a1019) ),
c_0_169 ).
cnf(c_0_250,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1019) ),
c_0_170 ).
cnf(c_0_251,negated_conjecture,
( ~ c3_1(X1)
| hskp13
| c1_1(X1)
| c2_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_120])]) ).
cnf(c_0_252,negated_conjecture,
( ~ hskp26
| c3_1(a1052) ),
c_0_172 ).
cnf(c_0_253,negated_conjecture,
( ~ hskp26
| ~ c2_1(a1052) ),
c_0_173 ).
fof(c_0_254,plain,
( ~ epred46_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c3_1(X2)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_255,negated_conjecture,
( ~ c1_1(X1)
| hskp3
| c3_1(X1)
| c2_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_120])]) ).
cnf(c_0_256,negated_conjecture,
( ~ hskp23
| c1_1(a1044) ),
c_0_175 ).
cnf(c_0_257,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1044) ),
c_0_176 ).
cnf(c_0_258,negated_conjecture,
( ~ c2_1(X1)
| hskp7
| c1_1(X1)
| c3_1(X1)
| epred15_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_177]),c_0_120])]) ).
cnf(c_0_259,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred45_0 ),
inference(split_equiv,[status(thm)],[c_0_178]) ).
cnf(c_0_260,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred16_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_261,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred53_0 ),
inference(split_equiv,[status(thm)],[c_0_181]) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1052) ),
c_0_182 ).
cnf(c_0_263,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred51_0 ),
inference(split_equiv,[status(thm)],[c_0_183]) ).
cnf(c_0_264,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred32_0 ),
inference(split_equiv,[status(thm)],[c_0_184]) ).
cnf(c_0_265,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred49_0 ),
inference(split_equiv,[status(thm)],[c_0_185]) ).
cnf(c_0_266,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_120])]) ).
cnf(c_0_267,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred56_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_187]),c_0_120])]) ).
cnf(c_0_268,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| hskp8
| hskp28
| c2_1(X1)
| c1_1(X1) ),
c_0_188 ).
cnf(c_0_269,negated_conjecture,
( ~ hskp13
| c3_1(a1023) ),
inference(fof_simplification,[status(thm)],[clause64]) ).
cnf(c_0_270,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp25
| hskp3
| c3_1(X1)
| c2_1(X1) ),
c_0_189 ).
cnf(c_0_271,negated_conjecture,
( ~ hskp14
| c0_1(a1025) ),
inference(fof_simplification,[status(thm)],[clause63]) ).
cnf(c_0_272,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp7
| hskp8
| c2_1(X1)
| c0_1(X1) ),
c_0_190 ).
cnf(c_0_273,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp26
| hskp8
| c2_1(X1) ),
c_0_191 ).
cnf(c_0_274,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| hskp24
| c1_1(X1) ),
c_0_192 ).
cnf(c_0_275,negated_conjecture,
( ~ hskp11
| c3_1(a1015) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
fof(c_0_276,plain,
( ~ epred59_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_277,plain,
( ~ epred55_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_278,plain,
( ~ epred52_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_279,negated_conjecture,
( ~ hskp14
| ~ c3_1(a1025) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_280,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c1_1(X1)
| epred40_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_193]),c_0_120])]) ).
fof(c_0_281,plain,
( ~ epred43_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| c1_1(X1)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_282,negated_conjecture,
( ~ hskp15
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),c_0_197]) ).
cnf(c_0_283,negated_conjecture,
( ~ hskp8
| hskp15
| epred38_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_284,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1000)
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_202]),c_0_203]) ).
cnf(c_0_285,negated_conjecture,
( ~ hskp0
| c1_1(a1000)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_159]),c_0_203]) ).
cnf(c_0_286,negated_conjecture,
( ~ hskp29
| c3_1(a1040) ),
c_0_205 ).
cnf(c_0_287,negated_conjecture,
( ~ hskp29
| c1_1(a1040) ),
c_0_206 ).
cnf(c_0_288,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp4
| c2_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_207]),c_0_120])]) ).
cnf(c_0_289,negated_conjecture,
( ~ hskp29
| c0_1(a1040) ),
c_0_208 ).
cnf(c_0_290,negated_conjecture,
( ~ hskp23
| c0_1(a1044) ),
c_0_209 ).
cnf(c_0_291,negated_conjecture,
( ~ c1_1(X1)
| hskp15
| c3_1(X1)
| c2_1(X1)
| epred27_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_120])]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp24
| c3_1(a1045) ),
c_0_211 ).
cnf(c_0_293,negated_conjecture,
( ~ hskp24
| c1_1(a1045) ),
c_0_212 ).
cnf(c_0_294,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1045) ),
c_0_213 ).
cnf(c_0_295,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1)
| epred11_0 ),
inference(split_equiv,[status(thm)],[c_0_214]) ).
cnf(c_0_296,negated_conjecture,
( ~ hskp8
| hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp3
| hskp8
| epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_219]) ).
cnf(c_0_298,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_220]) ).
cnf(c_0_299,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp12
| c2_1(X1)
| epred12_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_221]),c_0_120])]) ).
cnf(c_0_300,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_222]) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp6
| c3_1(a1006) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp6
| c0_1(a1006) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp6
| ~ c2_1(a1006) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1005) ),
inference(fof_simplification,[status(thm)],[clause123]) ).
fof(c_0_305,plain,
( ~ epred10_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| hskp17 ) ),
introduced(definition) ).
cnf(c_0_306,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1005) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1005) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
cnf(c_0_308,negated_conjecture,
( ~ hskp28
| c0_1(a1033) ),
inference(fof_simplification,[status(thm)],[clause43]) ).
cnf(c_0_309,negated_conjecture,
( ~ hskp28
| c1_1(a1033) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_310,negated_conjecture,
( ~ hskp28
| c2_1(a1033) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp17
| c3_1(a1032) ),
c_0_223 ).
cnf(c_0_312,negated_conjecture,
( ~ hskp17
| c2_1(a1032) ),
c_0_224 ).
cnf(c_0_313,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred61_0 ),
inference(split_equiv,[status(thm)],[c_0_225]) ).
cnf(c_0_314,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1032) ),
c_0_226 ).
cnf(c_0_315,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1015) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_316,negated_conjecture,
( ~ hskp1
| c3_1(a1001) ),
inference(fof_simplification,[status(thm)],[clause82]) ).
cnf(c_0_317,negated_conjecture,
( ~ hskp1
| c2_1(a1001) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1001) ),
inference(fof_simplification,[status(thm)],[clause128]) ).
cnf(c_0_319,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1041)
| epred60_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_227]),c_0_157]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp4
| c1_1(a1004) ),
c_0_228 ).
cnf(c_0_321,negated_conjecture,
( ~ hskp4
| ~ c0_1(a1004)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_322,negated_conjecture,
( ~ hskp4
| c0_1(a1004)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_232]),c_0_231]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp21
| epred54_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_232]),c_0_157]),c_0_233]) ).
cnf(c_0_324,negated_conjecture,
( hskp7
| hskp21
| hskp4 ),
clause38 ).
cnf(c_0_325,negated_conjecture,
( ~ hskp7
| ~ c0_1(a1008)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_230]),c_0_161]) ).
cnf(c_0_326,negated_conjecture,
( ~ hskp7
| c0_1(a1008)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_232]),c_0_161]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1015) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1037) ),
c_0_234 ).
cnf(c_0_329,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1037) ),
c_0_235 ).
cnf(c_0_330,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1037) ),
c_0_236 ).
cnf(c_0_331,negated_conjecture,
( ~ hskp12
| c2_1(a1019) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1048) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_333,negated_conjecture,
( ~ hskp21
| epred14_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).
cnf(c_0_334,negated_conjecture,
( ~ hskp2
| c0_1(a1002) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_335,negated_conjecture,
( ~ hskp2
| c2_1(a1002) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1002) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
fof(c_0_337,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_338,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp23
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause143]) ).
cnf(c_0_339,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_240]),c_0_120])]) ).
cnf(c_0_340,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_341,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
cnf(c_0_342,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause190]) ).
cnf(c_0_343,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_344,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause186]) ).
cnf(c_0_345,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_346,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_347,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_348,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c3_1(X2) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_349,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause174]) ).
cnf(c_0_350,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp6
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_351,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause176]) ).
cnf(c_0_352,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp14
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_353,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause178]) ).
cnf(c_0_354,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause165]) ).
cnf(c_0_355,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp4
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_356,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_357,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause166]) ).
cnf(c_0_358,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp13
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause168]) ).
cnf(c_0_359,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp15
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_360,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause154]) ).
cnf(c_0_361,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause159]) ).
cnf(c_0_362,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause158]) ).
cnf(c_0_363,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
cnf(c_0_364,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_365,negated_conjecture,
( ~ c2_1(X1)
| hskp2
| hskp1
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_120])]) ).
cnf(c_0_366,negated_conjecture,
( ~ hskp25
| hskp0
| c2_1(a1048)
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_367,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred62_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_245]),c_0_120])]) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp15
| hskp11
| c3_1(a1026)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_196]),c_0_194]) ).
cnf(c_0_369,negated_conjecture,
( ~ c3_1(X1)
| hskp5
| c0_1(X1)
| c1_1(X1)
| epred44_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_247]),c_0_120])]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp12
| hskp11
| c3_1(a1019)
| epred31_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp26
| hskp13
| c1_1(a1052)
| epred29_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]) ).
cnf(c_0_372,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp17
| c3_1(X1)
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_120])]) ).
cnf(c_0_373,negated_conjecture,
( ~ hskp23
| hskp3
| c2_1(a1044)
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
cnf(c_0_374,negated_conjecture,
( ~ hskp15
| hskp7
| c3_1(a1026)
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_196]),c_0_197]) ).
cnf(c_0_375,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| epred16_0
| epred45_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp26
| c1_1(a1052)
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_252]),c_0_262]) ).
cnf(c_0_377,negated_conjecture,
( ~ hskp26
| c1_1(a1052)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_253]) ).
cnf(c_0_378,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred32_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
cnf(c_0_379,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp3
| epred56_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_380,negated_conjecture,
( ~ c3_1(X1)
| hskp28
| hskp8
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_120])]) ).
cnf(c_0_381,negated_conjecture,
( ~ hskp13
| c3_1(a1023) ),
c_0_269 ).
cnf(c_0_382,negated_conjecture,
( ~ c0_1(X1)
| hskp25
| hskp3
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_120])]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp14
| c0_1(a1025) ),
c_0_271 ).
cnf(c_0_384,negated_conjecture,
( ~ c1_1(X1)
| hskp8
| hskp7
| c0_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_120])]) ).
cnf(c_0_385,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp26
| hskp8
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_120])]) ).
cnf(c_0_386,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp24
| hskp15
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_120])]) ).
cnf(c_0_387,negated_conjecture,
( ~ hskp11
| c3_1(a1015) ),
c_0_275 ).
cnf(c_0_388,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred59_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_276]),c_0_120])]) ).
cnf(c_0_389,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_277]),c_0_120])]) ).
cnf(c_0_390,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred52_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_278]),c_0_120])]) ).
cnf(c_0_391,negated_conjecture,
( ~ hskp14
| ~ c3_1(a1025) ),
c_0_279 ).
cnf(c_0_392,negated_conjecture,
( ~ c2_1(X1)
| hskp8
| c1_1(X1)
| epred14_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_280,c_0_159]) ).
cnf(c_0_393,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| hskp6
| c1_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_281]),c_0_120])]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp8
| epred23_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_239]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp3
| hskp0
| epred37_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_217]),c_0_218]),c_0_219]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp29
| ~ c2_1(a1040)
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_286]),c_0_287]) ).
cnf(c_0_398,negated_conjecture,
( ~ hskp29
| hskp4
| c2_1(a1040)
| epred36_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_286]),c_0_289]) ).
cnf(c_0_399,negated_conjecture,
( ~ hskp23
| ~ c2_1(a1044)
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_290]),c_0_256]) ).
cnf(c_0_400,negated_conjecture,
( ~ hskp23
| hskp15
| c2_1(a1044)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_256]),c_0_257]) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1045)
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_292]),c_0_293]) ).
cnf(c_0_402,negated_conjecture,
( ~ hskp24
| hskp8
| c2_1(a1045)
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_293]),c_0_294]) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp23
| epred11_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_295]),c_0_290]),c_0_256]) ).
cnf(c_0_404,negated_conjecture,
( ~ hskp3
| hskp23
| epred13_0 ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_405,negated_conjecture,
( ~ hskp8
| epred25_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_406,negated_conjecture,
( ~ hskp29
| hskp12
| c2_1(a1040)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_286]),c_0_289]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1010)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_200]),c_0_201]) ).
cnf(c_0_408,negated_conjecture,
( ~ hskp8
| hskp12
| c2_1(a1010)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_199]),c_0_200]) ).
cnf(c_0_409,negated_conjecture,
( ~ hskp6
| c3_1(a1006) ),
c_0_301 ).
cnf(c_0_410,negated_conjecture,
( ~ hskp6
| c0_1(a1006) ),
c_0_302 ).
cnf(c_0_411,negated_conjecture,
( ~ hskp6
| ~ c2_1(a1006) ),
c_0_303 ).
cnf(c_0_412,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1005) ),
c_0_304 ).
cnf(c_0_413,negated_conjecture,
( hskp17
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_305]),c_0_120])]) ).
cnf(c_0_414,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1005) ),
c_0_306 ).
cnf(c_0_415,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1005) ),
c_0_307 ).
cnf(c_0_416,negated_conjecture,
( ~ hskp28
| c0_1(a1033) ),
c_0_308 ).
cnf(c_0_417,negated_conjecture,
( ~ hskp28
| c1_1(a1033) ),
c_0_309 ).
cnf(c_0_418,negated_conjecture,
( ~ hskp28
| c2_1(a1033) ),
c_0_310 ).
cnf(c_0_419,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1032)
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_311]),c_0_312]) ).
cnf(c_0_420,negated_conjecture,
( ~ hskp17
| c1_1(a1032)
| epred61_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_311]),c_0_312]) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1032)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_311]),c_0_314]) ).
cnf(c_0_422,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1015) ),
c_0_315 ).
cnf(c_0_423,negated_conjecture,
( ~ hskp1
| c3_1(a1001) ),
c_0_316 ).
cnf(c_0_424,negated_conjecture,
( ~ hskp1
| c2_1(a1001) ),
c_0_317 ).
cnf(c_0_425,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1001) ),
c_0_318 ).
cnf(c_0_426,negated_conjecture,
( ~ hskp21
| epred14_0
| epred60_0 ),
inference(spm,[status(thm)],[c_0_319,c_0_238]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp4
| epred60_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_227]),c_0_320]),c_0_231]) ).
cnf(c_0_428,negated_conjecture,
( ~ hskp17
| c1_1(a1032)
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_311]),c_0_314]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp4
| epred28_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_430,negated_conjecture,
( hskp7
| hskp4
| epred54_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp7
| epred28_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp26
| ~ c1_1(a1052)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_252]),c_0_262]) ).
cnf(c_0_433,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1015) ),
c_0_327 ).
cnf(c_0_434,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1037)
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_159]),c_0_329]) ).
cnf(c_0_435,negated_conjecture,
( ~ hskp19
| c2_1(a1037)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_263]),c_0_329]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp12
| c2_1(a1019) ),
c_0_331 ).
cnf(c_0_437,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1048) ),
c_0_332 ).
cnf(c_0_438,negated_conjecture,
( ~ hskp4
| hskp7
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_231]),c_0_320]) ).
cnf(c_0_439,negated_conjecture,
( hskp4
| epred14_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_324]),c_0_239]) ).
cnf(c_0_440,negated_conjecture,
( ~ hskp2
| c0_1(a1002) ),
c_0_334 ).
cnf(c_0_441,negated_conjecture,
( ~ hskp2
| c2_1(a1002) ),
c_0_335 ).
cnf(c_0_442,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1002) ),
c_0_336 ).
cnf(c_0_443,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_337]) ).
cnf(c_0_444,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp3
| hskp23
| c2_1(X1) ),
c_0_338 ).
cnf(c_0_445,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| epred49_0
| epred50_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_265]) ).
fof(c_0_446,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_447,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| epred16_0
| epred32_0 ),
inference(spm,[status(thm)],[c_0_264,c_0_180]) ).
cnf(c_0_448,negated_conjecture,
( ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c2_1(X2) ),
c_0_340 ).
cnf(c_0_449,negated_conjecture,
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| c0_1(X3)
| c0_1(X2) ),
c_0_341 ).
cnf(c_0_450,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| c1_1(X3)
| c2_1(X2)
| c3_1(X1) ),
c_0_342 ).
cnf(c_0_451,negated_conjecture,
( ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1) ),
c_0_343 ).
cnf(c_0_452,negated_conjecture,
( ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_344 ).
cnf(c_0_453,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_345 ).
cnf(c_0_454,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_346 ).
cnf(c_0_455,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X3)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1) ),
c_0_347 ).
cnf(c_0_456,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c3_1(X2) ),
c_0_348 ).
cnf(c_0_457,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp5
| c1_1(X2)
| c0_1(X2) ),
c_0_349 ).
cnf(c_0_458,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp6
| c1_1(X2)
| c1_1(X1) ),
c_0_350 ).
cnf(c_0_459,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp8
| c0_1(X2)
| c1_1(X1) ),
c_0_351 ).
cnf(c_0_460,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp14
| c0_1(X2)
| c2_1(X1) ),
c_0_352 ).
cnf(c_0_461,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp15
| c0_1(X2)
| c1_1(X1) ),
c_0_353 ).
cnf(c_0_462,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp0
| c2_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_354 ).
cnf(c_0_463,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp4
| c1_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_355 ).
cnf(c_0_464,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_356 ).
cnf(c_0_465,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp11
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_357 ).
cnf(c_0_466,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| hskp13
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_358 ).
cnf(c_0_467,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp15
| c3_1(X2)
| c2_1(X2)
| c3_1(X1) ),
c_0_359 ).
cnf(c_0_468,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp3
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_360 ).
cnf(c_0_469,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp7
| c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_361 ).
cnf(c_0_470,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| hskp8
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_362 ).
cnf(c_0_471,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_363 ).
cnf(c_0_472,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp17
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1) ),
c_0_364 ).
cnf(c_0_473,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1023) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1023) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_475,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1025) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp25
| hskp0
| epred37_0
| hskp2
| hskp1
| c0_1(a1048)
| c3_1(a1048) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_477,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1026)
| hskp11
| epred33_0
| c0_1(a1026)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1026)
| hskp11
| epred33_0
| c1_1(a1026)
| epred61_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_368]) ).
cnf(c_0_479,negated_conjecture,
( ~ hskp15
| hskp11
| epred33_0
| c0_1(a1026)
| c1_1(a1026)
| epred53_0 ),
inference(spm,[status(thm)],[c_0_261,c_0_368]) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp15
| hskp11
| epred33_0
| hskp5
| c0_1(a1026)
| c1_1(a1026)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_368]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp12
| ~ c2_1(a1019)
| hskp11
| epred31_0
| c0_1(a1019)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_370]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp26
| hskp13
| epred29_0
| hskp0
| c0_1(a1052)
| c2_1(a1052)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_371]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1044)
| hskp3
| epred22_0
| hskp17
| c3_1(a1044)
| epred46_0 ),
inference(spm,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1026)
| hskp7
| epred15_0
| c0_1(a1026)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_374]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp4
| ~ c1_1(a1004)
| epred16_0
| epred45_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_231]) ).
cnf(c_0_486,negated_conjecture,
( ~ c1_1(a1045)
| ~ c2_1(a1045)
| ~ hskp24
| epred16_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_294,c_0_260]) ).
cnf(c_0_487,negated_conjecture,
( ~ c1_1(a1019)
| ~ c2_1(a1019)
| ~ hskp12
| epred16_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_250,c_0_260]) ).
cnf(c_0_488,negated_conjecture,
( ~ hskp26
| epred53_0
| hskp8
| c0_1(a1052)
| c2_1(a1052)
| epred13_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_376]) ).
cnf(c_0_489,negated_conjecture,
( ~ hskp26
| epred51_0
| hskp0
| c0_1(a1052)
| c2_1(a1052)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_242,c_0_377]) ).
cnf(c_0_490,negated_conjecture,
( ~ hskp26
| epred51_0
| hskp8
| c0_1(a1052)
| c2_1(a1052)
| epred13_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_377]) ).
cnf(c_0_491,negated_conjecture,
( ~ c1_1(a1003)
| ~ hskp3
| c2_1(a1003)
| epred32_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_378]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp29
| ~ c2_1(a1040)
| hskp24
| hskp3
| epred56_0 ),
inference(spm,[status(thm)],[c_0_379,c_0_289]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp13
| hskp28
| hskp8
| c1_1(a1023)
| c2_1(a1023) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_494,negated_conjecture,
( ~ hskp23
| hskp25
| hskp3
| c3_1(a1044)
| c2_1(a1044) ),
inference(spm,[status(thm)],[c_0_382,c_0_290]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp14
| hskp25
| hskp3
| c3_1(a1025)
| c2_1(a1025) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]) ).
cnf(c_0_496,negated_conjecture,
( ~ hskp24
| hskp8
| hskp7
| c0_1(a1045)
| c2_1(a1045) ),
inference(spm,[status(thm)],[c_0_384,c_0_293]) ).
cnf(c_0_497,negated_conjecture,
( ~ hskp29
| ~ c1_1(a1040)
| hskp26
| hskp8
| c2_1(a1040) ),
inference(spm,[status(thm)],[c_0_385,c_0_289]) ).
cnf(c_0_498,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1010)
| hskp24
| hskp15
| c1_1(a1010) ),
inference(spm,[status(thm)],[c_0_386,c_0_199]) ).
cnf(c_0_499,negated_conjecture,
( ~ hskp29
| ~ c0_1(a1040)
| ~ c2_1(a1040)
| hskp24
| hskp3 ),
inference(spm,[status(thm)],[c_0_266,c_0_286]) ).
cnf(c_0_500,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1010)
| ~ c2_1(a1010)
| hskp24
| hskp3 ),
inference(spm,[status(thm)],[c_0_266,c_0_199]) ).
cnf(c_0_501,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1045)
| c0_1(a1045)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_292]) ).
cnf(c_0_502,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1032)
| c0_1(a1032)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_311]) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1015)
| c0_1(a1015)
| epred62_0 ),
inference(spm,[status(thm)],[c_0_367,c_0_387]) ).
cnf(c_0_504,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1010)
| c2_1(a1010)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_199]) ).
cnf(c_0_505,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred56_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_179,c_0_267]) ).
cnf(c_0_506,negated_conjecture,
( ~ c0_1(a1044)
| ~ c2_1(a1044)
| ~ hskp23
| epred56_0 ),
inference(spm,[status(thm)],[c_0_257,c_0_267]) ).
cnf(c_0_507,negated_conjecture,
( ~ c0_1(a1000)
| ~ c2_1(a1000)
| ~ hskp0
| epred56_0 ),
inference(spm,[status(thm)],[c_0_204,c_0_267]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1044)
| c2_1(a1044)
| epred55_0 ),
inference(spm,[status(thm)],[c_0_389,c_0_290]) ).
cnf(c_0_509,negated_conjecture,
( ~ c0_1(a1044)
| ~ hskp23
| c2_1(a1044)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_257,c_0_390]) ).
cnf(c_0_510,negated_conjecture,
( ~ c0_1(a1025)
| ~ hskp14
| c2_1(a1025)
| epred52_0 ),
inference(spm,[status(thm)],[c_0_391,c_0_390]) ).
cnf(c_0_511,negated_conjecture,
( ~ hskp26
| c0_1(a1052)
| c2_1(a1052)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_252]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp24
| c0_1(a1045)
| c2_1(a1045)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_292]) ).
cnf(c_0_513,negated_conjecture,
( ~ hskp11
| c0_1(a1015)
| c2_1(a1015)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_339,c_0_387]) ).
cnf(c_0_514,negated_conjecture,
( ~ hskp15
| hskp8
| c1_1(a1026)
| epred14_0
| epred40_0 ),
inference(spm,[status(thm)],[c_0_392,c_0_196]) ).
cnf(c_0_515,negated_conjecture,
( ~ hskp11
| hskp5
| c0_1(a1015)
| c1_1(a1015)
| epred44_0 ),
inference(spm,[status(thm)],[c_0_369,c_0_387]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1010)
| hskp6
| c1_1(a1010)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_393,c_0_199]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp3
| epred13_0
| epred23_0
| epred38_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_297]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp3
| epred14_0
| epred37_0 ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp29
| hskp4
| epred36_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp23
| hskp15
| hskp7
| epred27_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp23
| hskp7
| hskp3
| epred22_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_373]) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp24
| hskp8
| epred13_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp3
| epred11_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp3
| epred13_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_405,c_0_297]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp29
| hskp12
| epred12_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_397,c_0_406]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp8
| hskp12
| epred8_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp6
| hskp12
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_409]),c_0_410]),c_0_411]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp5
| hskp17
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_413]),c_0_414]),c_0_415]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp29
| ~ c2_1(a1040)
| hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_289]),c_0_287]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp28
| hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_416]),c_0_417]),c_0_418]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp17
| epred58_0
| epred61_0 ),
inference(spm,[status(thm)],[c_0_419,c_0_420]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp17
| epred32_0
| epred61_0 ),
inference(spm,[status(thm)],[c_0_421,c_0_420]) ).
cnf(c_0_533,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1015)
| epred61_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_387]),c_0_422]) ).
cnf(c_0_534,negated_conjecture,
( ~ hskp1
| epred61_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_423]),c_0_424]),c_0_425]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp23
| ~ c2_1(a1044)
| epred60_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_227]),c_0_256]) ).
cnf(c_0_536,negated_conjecture,
( epred14_0
| epred60_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_324]),c_0_239]),c_0_427]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp17
| epred53_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_419,c_0_428]) ).
cnf(c_0_538,negated_conjecture,
( epred28_0
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp26
| epred32_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_432,c_0_376]) ).
cnf(c_0_540,negated_conjecture,
( ~ hskp11
| epred53_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_387]),c_0_433]),c_0_422]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp19
| epred14_0
| epred51_0 ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp23
| ~ c2_1(a1044)
| epred45_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_290]),c_0_256]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp24
| epred32_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_292]),c_0_293]),c_0_294]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp12
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_124]),c_0_249]),c_0_436]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp25
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_180]),c_0_243]),c_0_244]) ).
cnf(c_0_546,negated_conjecture,
( epred14_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_439]),c_0_239]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp2
| epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_440]),c_0_441]),c_0_442]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp5
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_443]),c_0_414]),c_0_415]) ).
cnf(c_0_549,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp23
| hskp3
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_120])]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp3
| epred49_0
| epred50_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_445]),c_0_219]) ).
cnf(c_0_551,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp14
| c2_1(X1)
| epred39_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_446]),c_0_120])]) ).
cnf(c_0_552,negated_conjecture,
( ~ hskp12
| epred16_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_447]),c_0_249]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp3
| epred16_0
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_447]),c_0_217]) ).
cnf(c_0_554,negated_conjecture,
( ~ epred25_0
| ~ epred55_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_448,c_0_277]),c_0_220]),c_0_131]) ).
cnf(c_0_555,negated_conjecture,
( ~ epred32_0
| ~ epred58_0
| ~ epred62_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_449,c_0_245]),c_0_184]),c_0_131]) ).
cnf(c_0_556,negated_conjecture,
( ~ epred59_0
| ~ epred60_0
| ~ epred61_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_276]),c_0_150]),c_0_225]) ).
cnf(c_0_557,negated_conjecture,
( ~ epred16_0
| ~ epred25_0
| ~ epred56_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_451,c_0_187]),c_0_132]),c_0_220]) ).
cnf(c_0_558,negated_conjecture,
( ~ epred8_0
| ~ epred52_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_452,c_0_278]),c_0_154]),c_0_222]) ).
cnf(c_0_559,negated_conjecture,
( ~ epred14_0
| ~ epred50_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_240]),c_0_127]),c_0_181]) ).
cnf(c_0_560,negated_conjecture,
( ~ epred14_0
| ~ epred49_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_454,c_0_278]),c_0_185]),c_0_127]) ).
cnf(c_0_561,negated_conjecture,
( ~ epred23_0
| ~ epred50_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_455,c_0_240]),c_0_183]),c_0_135]) ).
cnf(c_0_562,negated_conjecture,
( ~ epred45_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_254]),c_0_178]) ).
cnf(c_0_563,negated_conjecture,
( ~ epred44_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_247]),c_0_178]) ).
cnf(c_0_564,negated_conjecture,
( ~ epred8_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_458,c_0_281]),c_0_222]) ).
cnf(c_0_565,negated_conjecture,
( ~ epred30_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_459,c_0_193]),c_0_121]) ).
cnf(c_0_566,negated_conjecture,
( ~ epred30_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_446]),c_0_121]) ).
cnf(c_0_567,negated_conjecture,
( ~ epred32_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_138]),c_0_184]) ).
cnf(c_0_568,negated_conjecture,
( ~ epred30_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_164]),c_0_121]) ).
cnf(c_0_569,negated_conjecture,
( ~ epred23_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_207]),c_0_135]) ).
cnf(c_0_570,negated_conjecture,
( ~ epred25_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_167]),c_0_220]) ).
cnf(c_0_571,negated_conjecture,
( ~ epred31_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_465,c_0_168]),c_0_184]) ).
cnf(c_0_572,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_466,c_0_171]),c_0_121]) ).
cnf(c_0_573,negated_conjecture,
( ~ epred27_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_467,c_0_210]),c_0_152]) ).
cnf(c_0_574,negated_conjecture,
( ~ epred22_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_468,c_0_174]),c_0_135]) ).
cnf(c_0_575,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_469,c_0_177]),c_0_132]) ).
cnf(c_0_576,negated_conjecture,
( ~ epred13_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_470,c_0_146]),c_0_127]) ).
cnf(c_0_577,negated_conjecture,
( ~ epred4_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_471,c_0_221]),c_0_337]) ).
cnf(c_0_578,negated_conjecture,
( ~ epred10_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_472,c_0_305]),c_0_214]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1023) ),
c_0_473 ).
cnf(c_0_580,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1023) ),
c_0_474 ).
cnf(c_0_581,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1025) ),
c_0_475 ).
cnf(c_0_582,negated_conjecture,
( hskp19
| hskp25
| hskp24 ),
clause39 ).
cnf(c_0_583,negated_conjecture,
( hskp5
| hskp12
| hskp29 ),
clause32 ).
cnf(c_0_584,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_394,c_0_283,c_0_518,c_0_396,c_0_519,c_0_520,c_0_521,c_0_522,c_0_402,c_0_523,c_0_404,c_0_524,c_0_297,c_0_525,c_0_526,c_0_408,c_0_527,c_0_528,c_0_296,c_0_529,c_0_530,c_0_399,c_0_395,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_427,c_0_397,c_0_401,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_405,c_0_282,c_0_545,c_0_546,c_0_239,c_0_547,c_0_548,c_0_385,c_0_549,c_0_388,c_0_389,c_0_550,c_0_551,c_0_552,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_577,c_0_578,c_0_219,c_0_201,c_0_422,c_0_433,c_0_250,c_0_579,c_0_580,c_0_581,c_0_391,c_0_197,c_0_194,c_0_314,c_0_257,c_0_294,c_0_437,c_0_244,c_0_253,c_0_262,c_0_203,c_0_436,c_0_196,c_0_312,c_0_286,c_0_217,c_0_320,c_0_249,c_0_256,c_0_293,c_0_287,c_0_202,c_0_200,c_0_383,c_0_290,c_0_289,c_0_582,c_0_583,c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN475-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 11:05:59 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 12.22/2.29 % Version: 3.5.1
% 12.22/2.29 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.22/2.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.22/2.29 % Starting new_bool_3 with 300s (1) cores
% 12.22/2.29 % Starting new_bool_1 with 300s (1) cores
% 12.22/2.29 % Starting sh5l with 300s (1) cores
% 12.22/2.29 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2964937 completed with status 0
% 12.22/2.29 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.22/2.29 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.22/2.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.22/2.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.22/2.29 % No SInE strategy applied
% 12.22/2.29 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.22/2.29 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.22/2.29 % Starting SubtermCWHack with 151s (1) cores
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.22/2.29 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 12.22/2.29 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 12.22/2.29 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2964945 completed with status 0
% 12.22/2.29 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 12.22/2.29 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.22/2.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.22/2.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.22/2.29 % No SInE strategy applied
% 12.22/2.29 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.22/2.29 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.22/2.29 % Starting SubtermCWHack with 151s (1) cores
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.22/2.29 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.22/2.29 % Preprocessing time : 0.002 s
% 12.22/2.29 % SatCheck found unsatisfiable ground set
% 12.22/2.29
% 12.22/2.29 % Proof found!
% 12.22/2.29 % SZS status Unsatisfiable
% 12.22/2.29 % SZS output start CNFRefutation
% See solution above
% 12.22/2.30 % Parsed axioms : 192
% 12.22/2.30 % Removed by relevancy pruning/SinE : 0
% 12.22/2.30 % Initial clauses : 192
% 12.22/2.30 % Removed in clause preprocessing : 0
% 12.22/2.30 % Initial clauses in saturation : 192
% 12.22/2.30 % Processed clauses : 6961
% 12.22/2.30 % ...of these trivial : 0
% 12.22/2.30 % ...subsumed : 1961
% 12.22/2.30 % ...remaining for further processing : 5000
% 12.22/2.30 % Other redundant clauses eliminated : 0
% 12.22/2.30 % Clauses deleted for lack of memory : 0
% 12.22/2.30 % Backward-subsumed : 1054
% 12.22/2.30 % Backward-rewritten : 51
% 12.22/2.30 % Generated clauses : 64353
% 12.22/2.30 % ...of the previous two non-redundant : 59514
% 12.22/2.30 % ...aggressively subsumed : 0
% 12.22/2.30 % Contextual simplify-reflections : 545
% 12.22/2.30 % Paramodulations : 64249
% 12.22/2.30 % Factorizations : 0
% 12.22/2.30 % NegExts : 0
% 12.22/2.30 % Equation resolutions : 0
% 12.22/2.30 % Disequality decompositions : 0
% 12.22/2.30 % Total rewrite steps : 90
% 12.22/2.30 % ...of those cached : 89
% 12.22/2.30 % Propositional unsat checks : 1
% 12.22/2.30 % Propositional check models : 0
% 12.22/2.30 % Propositional check unsatisfiable : 1
% 12.22/2.30 % Propositional clauses : 55904
% 12.22/2.30 % Propositional clauses after purity: 55425
% 12.22/2.30 % Propositional unsat core size : 159
% 12.22/2.30 % Propositional preprocessing time : 0.000
% 12.22/2.30 % Propositional encoding time : 0.025
% 12.22/2.30 % Propositional solver time : 0.066
% 12.22/2.30 % Success case prop preproc time : 0.000
% 12.22/2.30 % Success case prop encoding time : 0.025
% 12.22/2.30 % Success case prop solver time : 0.066
% 12.22/2.30 % Current number of processed clauses : 3853
% 12.22/2.30 % Positive orientable unit clauses : 1
% 12.22/2.30 % Positive unorientable unit clauses: 0
% 12.22/2.30 % Negative unit clauses : 0
% 12.22/2.30 % Non-unit-clauses : 3852
% 12.22/2.30 % Current number of unprocessed clauses: 52051
% 12.22/2.30 % ...number of literals in the above : 359499
% 12.22/2.30 % Current number of archived formulas : 0
% 12.22/2.30 % Current number of archived clauses : 1105
% 12.22/2.30 % Clause-clause subsumption calls (NU) : 5577512
% 12.22/2.30 % Rec. Clause-clause subsumption calls : 209214
% 12.22/2.30 % Non-unit clause-clause subsumptions : 3626
% 12.22/2.30 % Unit Clause-clause subsumption calls : 54
% 12.22/2.30 % Rewrite failures with RHS unbound : 0
% 12.22/2.30 % BW rewrite match attempts : 1
% 12.22/2.30 % BW rewrite match successes : 1
% 12.22/2.30 % Condensation attempts : 6961
% 12.22/2.30 % Condensation successes : 0
% 12.22/2.30 % Termbank termtop insertions : 630025
% 12.22/2.30 % Search garbage collected termcells : 485
% 12.22/2.30
% 12.22/2.30 % -------------------------------------------------
% 12.22/2.30 % User time : 1.661 s
% 12.22/2.30 % System time : 0.061 s
% 12.22/2.30 % Total time : 1.722 s
% 12.22/2.30 % Maximum resident set size: 4040 pages
% 12.22/2.30
% 12.22/2.30 % -------------------------------------------------
% 12.22/2.30 % User time : 8.262 s
% 12.22/2.30 % System time : 0.216 s
% 12.22/2.30 % Total time : 8.477 s
% 12.22/2.30 % Maximum resident set size: 4864 pages
% 12.22/2.30 % E exiting
%------------------------------------------------------------------------------