%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN458+1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:38:32 PM UTC 2026
% Result : Theorem 6.84s 5.33s
% Output : CNFRefutation 6.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 36
% Syntax : Number of formulae : 445 ( 2 unt; 0 def)
% Number of atoms : 3657 ( 0 equ)
% Maximal formula atoms : 692 ( 8 avg)
% Number of connectives : 4842 (1630 ~;2442 |; 561 &)
% ( 35 <=>; 174 =>; 0 <=; 0 <~>)
% Maximal formula depth : 277 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 73 ( 72 usr; 69 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 462 ( 0 sgn 296 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a1080)
& ~ c0_1(a1080)
& ~ c2_1(a1080) ) )
& ( ~ hskp1
| ( ndr1_0
& c3_1(a1081)
& ~ c0_1(a1081)
& ~ c1_1(a1081) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a1082)
& ~ c2_1(a1082)
& ~ c3_1(a1082) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1083)
& ~ c2_1(a1083)
& ~ c3_1(a1083) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a1084)
& ~ c1_1(a1084)
& ~ c3_1(a1084) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a1085)
& ~ c0_1(a1085)
& ~ c1_1(a1085) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1086)
& c2_1(a1086)
& ~ c1_1(a1086) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ c0_1(a1087)
& ~ c1_1(a1087)
& ~ c2_1(a1087) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1088)
& c3_1(a1088)
& ~ c2_1(a1088) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a1089)
& c3_1(a1089)
& ~ c1_1(a1089) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a1090)
& ~ c1_1(a1090)
& ~ c3_1(a1090) ) )
& ( ~ hskp11
| ( ndr1_0
& c2_1(a1091)
& ~ c0_1(a1091)
& ~ c3_1(a1091) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a1094)
& c1_1(a1094)
& ~ c3_1(a1094) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1095)
& ~ c1_1(a1095)
& ~ c2_1(a1095) ) )
& ( ~ hskp14
| ( ndr1_0
& c1_1(a1097)
& c3_1(a1097)
& ~ c2_1(a1097) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1098)
& ~ c1_1(a1098)
& ~ c3_1(a1098) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1100)
& ~ c0_1(a1100)
& ~ c3_1(a1100) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a1102)
& ~ c0_1(a1102)
& ~ c2_1(a1102) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a1103)
& c3_1(a1103)
& ~ c1_1(a1103) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a1113)
& c1_1(a1113)
& ~ c2_1(a1113) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a1114)
& ~ c1_1(a1114)
& ~ c2_1(a1114) ) )
& ( ~ hskp21
| ( ndr1_0
& c1_1(a1120)
& c2_1(a1120)
& ~ c3_1(a1120) ) )
& ( ~ hskp22
| ( ndr1_0
& c1_1(a1121)
& c3_1(a1121)
& ~ c0_1(a1121) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1122)
& c2_1(a1122)
& ~ c3_1(a1122) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1124)
& c2_1(a1124)
& ~ c0_1(a1124) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c1_1(a1125)
& ~ c2_1(a1125)
& ~ c3_1(a1125) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a1146)
& c3_1(a1146)
& ~ c0_1(a1146) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1164)
& ~ c2_1(a1164)
& ~ c3_1(a1164) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1092)
& c2_1(a1092)
& c3_1(a1092) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a1101)
& c2_1(a1101)
& c3_1(a1101) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a1109)
& c1_1(a1109)
& c3_1(a1109) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a1148)
& c1_1(a1148)
& c2_1(a1148) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| ~ c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c2_1(X8)
| ~ c3_1(X8) ) )
| hskp0 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c0_1(X10)
| ~ c1_1(X10)
| ~ c3_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c2_1(X12) ) )
| hskp1
| hskp2 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| c3_1(X14)
| ~ c1_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c2_1(X15)
| ~ c1_1(X15)
| ~ c3_1(X15) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| ~ c1_1(X17) ) )
| hskp3 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp4 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| ~ c1_1(X21)
| ~ c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c2_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp5 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c1_1(X25)
| ~ c2_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c2_1(X27)
| ~ c0_1(X27)
| ~ c1_1(X27) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c2_1(X28) ) )
| hskp6
| hskp7 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c1_1(X29)
| ~ c2_1(X29) ) )
| hskp8
| hskp9 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c1_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| ~ c1_1(X31)
| ~ c2_1(X31) ) )
| hskp10 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c1_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33) ) )
| hskp11 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c1_1(X34)
| ~ c3_1(X34) ) )
| hskp28
| hskp1 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| c3_1(X35) ) )
| hskp12
| hskp13 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| ~ c0_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c1_1(X38) ) )
| hskp14
| hskp15 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| hskp0
| hskp16 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp29 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c1_1(X43)
| ~ c3_1(X43) ) )
| hskp17 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c2_1(X44) ) )
| hskp18 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) )
| hskp4
| hskp16 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c1_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| hskp9 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| ~ c1_1(X48)
| ~ c2_1(X48) ) )
| hskp15
| hskp17 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c1_1(X49)
| ~ c3_1(X49) ) )
| hskp30
| hskp18 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c3_1(X50) ) )
| hskp9
| hskp2 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| hskp19 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| ~ c2_1(X52)
| ~ c3_1(X52) ) )
| hskp20
| hskp3 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp9 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| c3_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c2_1(X56)
| ~ c3_1(X56) ) )
| hskp20 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| c3_1(X57) ) )
| hskp6
| hskp8 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58) ) )
| hskp21
| hskp22 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
| hskp23 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) ) )
| hskp1 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| ~ c3_1(X63) ) )
| hskp24
| hskp25 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| hskp14
| hskp13 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c3_1(X65)
| ~ c2_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c2_1(X66) ) )
| hskp17 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| ~ c1_1(X68)
| ~ c2_1(X68) ) )
| hskp25 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c2_1(X69) ) )
| hskp14 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| hskp0
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp21 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp14
| hskp11 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp9
| hskp11 )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| hskp22
| hskp5 )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp30
| hskp9 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| ~ c0_1(X76)
| ~ c1_1(X76) ) )
| hskp4
| hskp1 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c0_1(X77)
| ~ c3_1(X77) ) )
| hskp28
| hskp9 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| ~ c1_1(X78)
| ~ c3_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| hskp26 )
& ( ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81) ) )
| hskp5 )
& ( ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c3_1(X83)
| ~ c1_1(X83)
| ~ c2_1(X83) ) )
| hskp31 )
& ( ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84) ) )
| hskp5
| hskp13 )
& ( ! [X85] :
( ndr1_0
=> ( ~ c0_1(X85)
| ~ c1_1(X85)
| ~ c3_1(X85) ) )
| hskp19
| hskp2 )
& ( ! [X86] :
( ndr1_0
=> ( ~ c1_1(X86)
| ~ c2_1(X86)
| ~ c3_1(X86) ) )
| hskp31
| hskp3 )
& ( ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| ~ c2_1(X87)
| ~ c3_1(X87) ) )
| hskp20
| hskp24 )
& ( hskp31
| hskp12
| hskp13 )
& ( hskp28
| hskp6
| hskp18 )
& ( hskp20
| hskp27
| hskp13 )
& ( hskp0
| hskp5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c1_1(a1080)
& ~ c0_1(a1080)
& ~ c2_1(a1080) ) )
& ( ~ hskp1
| ( ndr1_0
& c3_1(a1081)
& ~ c0_1(a1081)
& ~ c1_1(a1081) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ c0_1(a1082)
& ~ c2_1(a1082)
& ~ c3_1(a1082) ) )
& ( ~ hskp3
| ( ndr1_0
& c1_1(a1083)
& ~ c2_1(a1083)
& ~ c3_1(a1083) ) )
& ( ~ hskp4
| ( ndr1_0
& c0_1(a1084)
& ~ c1_1(a1084)
& ~ c3_1(a1084) ) )
& ( ~ hskp5
| ( ndr1_0
& c2_1(a1085)
& ~ c0_1(a1085)
& ~ c1_1(a1085) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a1086)
& c2_1(a1086)
& ~ c1_1(a1086) ) )
& ( ~ hskp7
| ( ndr1_0
& ~ c0_1(a1087)
& ~ c1_1(a1087)
& ~ c2_1(a1087) ) )
& ( ~ hskp8
| ( ndr1_0
& c0_1(a1088)
& c3_1(a1088)
& ~ c2_1(a1088) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a1089)
& c3_1(a1089)
& ~ c1_1(a1089) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c0_1(a1090)
& ~ c1_1(a1090)
& ~ c3_1(a1090) ) )
& ( ~ hskp11
| ( ndr1_0
& c2_1(a1091)
& ~ c0_1(a1091)
& ~ c3_1(a1091) ) )
& ( ~ hskp12
| ( ndr1_0
& c0_1(a1094)
& c1_1(a1094)
& ~ c3_1(a1094) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a1095)
& ~ c1_1(a1095)
& ~ c2_1(a1095) ) )
& ( ~ hskp14
| ( ndr1_0
& c1_1(a1097)
& c3_1(a1097)
& ~ c2_1(a1097) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a1098)
& ~ c1_1(a1098)
& ~ c3_1(a1098) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a1100)
& ~ c0_1(a1100)
& ~ c3_1(a1100) ) )
& ( ~ hskp17
| ( ndr1_0
& c3_1(a1102)
& ~ c0_1(a1102)
& ~ c2_1(a1102) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a1103)
& c3_1(a1103)
& ~ c1_1(a1103) ) )
& ( ~ hskp19
| ( ndr1_0
& c0_1(a1113)
& c1_1(a1113)
& ~ c2_1(a1113) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a1114)
& ~ c1_1(a1114)
& ~ c2_1(a1114) ) )
& ( ~ hskp21
| ( ndr1_0
& c1_1(a1120)
& c2_1(a1120)
& ~ c3_1(a1120) ) )
& ( ~ hskp22
| ( ndr1_0
& c1_1(a1121)
& c3_1(a1121)
& ~ c0_1(a1121) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a1122)
& c2_1(a1122)
& ~ c3_1(a1122) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a1124)
& c2_1(a1124)
& ~ c0_1(a1124) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ c1_1(a1125)
& ~ c2_1(a1125)
& ~ c3_1(a1125) ) )
& ( ~ hskp26
| ( ndr1_0
& c2_1(a1146)
& c3_1(a1146)
& ~ c0_1(a1146) ) )
& ( ~ hskp27
| ( ndr1_0
& c0_1(a1164)
& ~ c2_1(a1164)
& ~ c3_1(a1164) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a1092)
& c2_1(a1092)
& c3_1(a1092) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a1101)
& c2_1(a1101)
& c3_1(a1101) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a1109)
& c1_1(a1109)
& c3_1(a1109) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a1148)
& c1_1(a1148)
& c2_1(a1148) ) )
& ( ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c1_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ) ) )
& ( ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c1_1(X4)
| c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c2_1(X5)
| ~ c3_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c1_1(X7)
| c2_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c2_1(X8)
| ~ c3_1(X8) ) )
| hskp0 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| c1_1(X9)
| c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( ~ c0_1(X10)
| ~ c1_1(X10)
| ~ c3_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( ~ c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c1_1(X12)
| c2_1(X12) ) )
| hskp1
| hskp2 )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| c3_1(X14)
| ~ c1_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c2_1(X15)
| ~ c1_1(X15)
| ~ c3_1(X15) ) ) )
& ( ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c1_1(X16)
| ~ c2_1(X16) ) )
| ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| ~ c1_1(X17) ) )
| hskp3 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp4 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| ~ c1_1(X21)
| ~ c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c2_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c2_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( c1_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp5 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c1_1(X25)
| ~ c2_1(X25) ) )
| ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| c3_1(X26)
| ~ c0_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c2_1(X27)
| ~ c0_1(X27)
| ~ c1_1(X27) ) ) )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c1_1(X28)
| ~ c2_1(X28) ) )
| hskp6
| hskp7 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c1_1(X29)
| ~ c2_1(X29) ) )
| hskp8
| hskp9 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c1_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| ~ c1_1(X31)
| ~ c2_1(X31) ) )
| hskp10 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c1_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| ~ c2_1(X33)
| ~ c3_1(X33) ) )
| hskp11 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c1_1(X34)
| ~ c3_1(X34) ) )
| hskp28
| hskp1 )
& ( ! [X35] :
( ndr1_0
=> ( c0_1(X35)
| c2_1(X35)
| c3_1(X35) ) )
| hskp12
| hskp13 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c1_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| ~ c0_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c1_1(X38) ) )
| hskp14
| hskp15 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c2_1(X39)
| ~ c1_1(X39) ) )
| hskp0
| hskp16 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c1_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp29 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| c3_1(X42)
| ~ c2_1(X42) ) )
| ! [X43] :
( ndr1_0
=> ( ~ c0_1(X43)
| ~ c1_1(X43)
| ~ c3_1(X43) ) )
| hskp17 )
& ( ! [X44] :
( ndr1_0
=> ( c0_1(X44)
| c3_1(X44)
| ~ c2_1(X44) ) )
| hskp18 )
& ( ! [X45] :
( ndr1_0
=> ( c0_1(X45)
| c3_1(X45)
| ~ c2_1(X45) ) )
| hskp4
| hskp16 )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c1_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c3_1(X47)
| ~ c2_1(X47) ) )
| hskp9 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| ~ c1_1(X48)
| ~ c2_1(X48) ) )
| hskp15
| hskp17 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| ~ c1_1(X49)
| ~ c3_1(X49) ) )
| hskp30
| hskp18 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c3_1(X50) ) )
| hskp9
| hskp2 )
& ( ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c2_1(X51)
| ~ c3_1(X51) ) )
| hskp19 )
& ( ! [X52] :
( ndr1_0
=> ( c0_1(X52)
| ~ c2_1(X52)
| ~ c3_1(X52) ) )
| hskp20
| hskp3 )
& ( ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| c3_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp9 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| c2_1(X55)
| c3_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c2_1(X56)
| ~ c3_1(X56) ) )
| hskp20 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| c2_1(X57)
| c3_1(X57) ) )
| hskp6
| hskp8 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| ~ c0_1(X58) ) )
| hskp21
| hskp22 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| c2_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
| hskp23 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c2_1(X62)
| ~ c0_1(X62)
| ~ c1_1(X62) ) )
| hskp1 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| ~ c3_1(X63) ) )
| hskp24
| hskp25 )
& ( ! [X64] :
( ndr1_0
=> ( c1_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| hskp14
| hskp13 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c3_1(X65)
| ~ c2_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ~ c0_1(X66)
| ~ c2_1(X66) ) )
| hskp17 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| ~ c0_1(X67)
| ~ c2_1(X67) ) )
| ! [X68] :
( ndr1_0
=> ( ~ c0_1(X68)
| ~ c1_1(X68)
| ~ c2_1(X68) ) )
| hskp25 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ~ c0_1(X69)
| ~ c2_1(X69) ) )
| hskp14 )
& ( ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c2_1(X70) ) )
| hskp0
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| ~ c2_1(X71)
| ~ c3_1(X71) ) )
| hskp21 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c2_1(X72)
| ~ c3_1(X72) ) )
| hskp14
| hskp11 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c2_1(X73)
| ~ c3_1(X73) ) )
| hskp9
| hskp11 )
& ( ! [X74] :
( ndr1_0
=> ( c2_1(X74)
| c3_1(X74)
| ~ c0_1(X74) ) )
| hskp22
| hskp5 )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| ~ c0_1(X75)
| ~ c1_1(X75) ) )
| hskp30
| hskp9 )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| ~ c0_1(X76)
| ~ c1_1(X76) ) )
| hskp4
| hskp1 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| ~ c0_1(X77)
| ~ c3_1(X77) ) )
| hskp28
| hskp9 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| ~ c1_1(X78)
| ~ c3_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c0_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| hskp26 )
& ( ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c3_1(X81)
| ~ c0_1(X81)
| ~ c2_1(X81) ) )
| hskp5 )
& ( ! [X82] :
( ndr1_0
=> ( c3_1(X82)
| ~ c0_1(X82)
| ~ c2_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( c3_1(X83)
| ~ c1_1(X83)
| ~ c2_1(X83) ) )
| hskp31 )
& ( ! [X84] :
( ndr1_0
=> ( ~ c0_1(X84)
| ~ c1_1(X84)
| ~ c2_1(X84) ) )
| hskp5
| hskp13 )
& ( ! [X85] :
( ndr1_0
=> ( ~ c0_1(X85)
| ~ c1_1(X85)
| ~ c3_1(X85) ) )
| hskp19
| hskp2 )
& ( ! [X86] :
( ndr1_0
=> ( ~ c1_1(X86)
| ~ c2_1(X86)
| ~ c3_1(X86) ) )
| hskp31
| hskp3 )
& ( ! [X87] :
( ndr1_0
=> ( ~ c1_1(X87)
| ~ c2_1(X87)
| ~ c3_1(X87) ) )
| hskp20
| hskp24 )
& ( hskp31
| hskp12
| hskp13 )
& ( hskp28
| hskp6
| hskp18 )
& ( hskp20
| hskp27
| hskp13 )
& ( hskp0
| hskp5 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
fof(c_0_2,negated_conjecture,
! [X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261] :
( ( ndr1_0
| ~ hskp0 )
& ( c1_1(a1080)
| ~ hskp0 )
& ( ~ c0_1(a1080)
| ~ hskp0 )
& ( ~ c2_1(a1080)
| ~ hskp0 )
& ( ndr1_0
| ~ hskp1 )
& ( c3_1(a1081)
| ~ hskp1 )
& ( ~ c0_1(a1081)
| ~ hskp1 )
& ( ~ c1_1(a1081)
| ~ hskp1 )
& ( ndr1_0
| ~ hskp2 )
& ( ~ c0_1(a1082)
| ~ hskp2 )
& ( ~ c2_1(a1082)
| ~ hskp2 )
& ( ~ c3_1(a1082)
| ~ hskp2 )
& ( ndr1_0
| ~ hskp3 )
& ( c1_1(a1083)
| ~ hskp3 )
& ( ~ c2_1(a1083)
| ~ hskp3 )
& ( ~ c3_1(a1083)
| ~ hskp3 )
& ( ndr1_0
| ~ hskp4 )
& ( c0_1(a1084)
| ~ hskp4 )
& ( ~ c1_1(a1084)
| ~ hskp4 )
& ( ~ c3_1(a1084)
| ~ hskp4 )
& ( ndr1_0
| ~ hskp5 )
& ( c2_1(a1085)
| ~ hskp5 )
& ( ~ c0_1(a1085)
| ~ hskp5 )
& ( ~ c1_1(a1085)
| ~ hskp5 )
& ( ndr1_0
| ~ hskp6 )
& ( c0_1(a1086)
| ~ hskp6 )
& ( c2_1(a1086)
| ~ hskp6 )
& ( ~ c1_1(a1086)
| ~ hskp6 )
& ( ndr1_0
| ~ hskp7 )
& ( ~ c0_1(a1087)
| ~ hskp7 )
& ( ~ c1_1(a1087)
| ~ hskp7 )
& ( ~ c2_1(a1087)
| ~ hskp7 )
& ( ndr1_0
| ~ hskp8 )
& ( c0_1(a1088)
| ~ hskp8 )
& ( c3_1(a1088)
| ~ hskp8 )
& ( ~ c2_1(a1088)
| ~ hskp8 )
& ( ndr1_0
| ~ hskp9 )
& ( c2_1(a1089)
| ~ hskp9 )
& ( c3_1(a1089)
| ~ hskp9 )
& ( ~ c1_1(a1089)
| ~ hskp9 )
& ( ndr1_0
| ~ hskp10 )
& ( ~ c0_1(a1090)
| ~ hskp10 )
& ( ~ c1_1(a1090)
| ~ hskp10 )
& ( ~ c3_1(a1090)
| ~ hskp10 )
& ( ndr1_0
| ~ hskp11 )
& ( c2_1(a1091)
| ~ hskp11 )
& ( ~ c0_1(a1091)
| ~ hskp11 )
& ( ~ c3_1(a1091)
| ~ hskp11 )
& ( ndr1_0
| ~ hskp12 )
& ( c0_1(a1094)
| ~ hskp12 )
& ( c1_1(a1094)
| ~ hskp12 )
& ( ~ c3_1(a1094)
| ~ hskp12 )
& ( ndr1_0
| ~ hskp13 )
& ( c3_1(a1095)
| ~ hskp13 )
& ( ~ c1_1(a1095)
| ~ hskp13 )
& ( ~ c2_1(a1095)
| ~ hskp13 )
& ( ndr1_0
| ~ hskp14 )
& ( c1_1(a1097)
| ~ hskp14 )
& ( c3_1(a1097)
| ~ hskp14 )
& ( ~ c2_1(a1097)
| ~ hskp14 )
& ( ndr1_0
| ~ hskp15 )
& ( c2_1(a1098)
| ~ hskp15 )
& ( ~ c1_1(a1098)
| ~ hskp15 )
& ( ~ c3_1(a1098)
| ~ hskp15 )
& ( ndr1_0
| ~ hskp16 )
& ( c1_1(a1100)
| ~ hskp16 )
& ( ~ c0_1(a1100)
| ~ hskp16 )
& ( ~ c3_1(a1100)
| ~ hskp16 )
& ( ndr1_0
| ~ hskp17 )
& ( c3_1(a1102)
| ~ hskp17 )
& ( ~ c0_1(a1102)
| ~ hskp17 )
& ( ~ c2_1(a1102)
| ~ hskp17 )
& ( ndr1_0
| ~ hskp18 )
& ( c0_1(a1103)
| ~ hskp18 )
& ( c3_1(a1103)
| ~ hskp18 )
& ( ~ c1_1(a1103)
| ~ hskp18 )
& ( ndr1_0
| ~ hskp19 )
& ( c0_1(a1113)
| ~ hskp19 )
& ( c1_1(a1113)
| ~ hskp19 )
& ( ~ c2_1(a1113)
| ~ hskp19 )
& ( ndr1_0
| ~ hskp20 )
& ( c0_1(a1114)
| ~ hskp20 )
& ( ~ c1_1(a1114)
| ~ hskp20 )
& ( ~ c2_1(a1114)
| ~ hskp20 )
& ( ndr1_0
| ~ hskp21 )
& ( c1_1(a1120)
| ~ hskp21 )
& ( c2_1(a1120)
| ~ hskp21 )
& ( ~ c3_1(a1120)
| ~ hskp21 )
& ( ndr1_0
| ~ hskp22 )
& ( c1_1(a1121)
| ~ hskp22 )
& ( c3_1(a1121)
| ~ hskp22 )
& ( ~ c0_1(a1121)
| ~ hskp22 )
& ( ndr1_0
| ~ hskp23 )
& ( c0_1(a1122)
| ~ hskp23 )
& ( c2_1(a1122)
| ~ hskp23 )
& ( ~ c3_1(a1122)
| ~ hskp23 )
& ( ndr1_0
| ~ hskp24 )
& ( c1_1(a1124)
| ~ hskp24 )
& ( c2_1(a1124)
| ~ hskp24 )
& ( ~ c0_1(a1124)
| ~ hskp24 )
& ( ndr1_0
| ~ hskp25 )
& ( ~ c1_1(a1125)
| ~ hskp25 )
& ( ~ c2_1(a1125)
| ~ hskp25 )
& ( ~ c3_1(a1125)
| ~ hskp25 )
& ( ndr1_0
| ~ hskp26 )
& ( c2_1(a1146)
| ~ hskp26 )
& ( c3_1(a1146)
| ~ hskp26 )
& ( ~ c0_1(a1146)
| ~ hskp26 )
& ( ndr1_0
| ~ hskp27 )
& ( c0_1(a1164)
| ~ hskp27 )
& ( ~ c2_1(a1164)
| ~ hskp27 )
& ( ~ c3_1(a1164)
| ~ hskp27 )
& ( ndr1_0
| ~ hskp28 )
& ( c0_1(a1092)
| ~ hskp28 )
& ( c2_1(a1092)
| ~ hskp28 )
& ( c3_1(a1092)
| ~ hskp28 )
& ( ndr1_0
| ~ hskp29 )
& ( c1_1(a1101)
| ~ hskp29 )
& ( c2_1(a1101)
| ~ hskp29 )
& ( c3_1(a1101)
| ~ hskp29 )
& ( ndr1_0
| ~ hskp30 )
& ( c0_1(a1109)
| ~ hskp30 )
& ( c1_1(a1109)
| ~ hskp30 )
& ( c3_1(a1109)
| ~ hskp30 )
& ( ndr1_0
| ~ hskp31 )
& ( c0_1(a1148)
| ~ hskp31 )
& ( c1_1(a1148)
| ~ hskp31 )
& ( c2_1(a1148)
| ~ hskp31 )
& ( ~ ndr1_0
| c0_1(X175)
| c1_1(X175)
| c2_1(X175)
| ~ ndr1_0
| c0_1(X176)
| c2_1(X176)
| c3_1(X176)
| ~ ndr1_0
| c1_1(X177)
| ~ c2_1(X177)
| ~ c3_1(X177) )
& ( ~ ndr1_0
| c0_1(X178)
| c1_1(X178)
| c2_1(X178)
| ~ ndr1_0
| c0_1(X179)
| c2_1(X179)
| ~ c3_1(X179)
| ~ ndr1_0
| c3_1(X180)
| ~ c0_1(X180)
| ~ c1_1(X180) )
& ( ~ ndr1_0
| c0_1(X181)
| c1_1(X181)
| c2_1(X181)
| ~ ndr1_0
| c0_1(X182)
| c2_1(X182)
| ~ c3_1(X182)
| hskp0 )
& ( ~ ndr1_0
| c0_1(X183)
| c1_1(X183)
| c2_1(X183)
| ~ ndr1_0
| ~ c0_1(X184)
| ~ c1_1(X184)
| ~ c3_1(X184)
| ~ ndr1_0
| ~ c0_1(X185)
| ~ c2_1(X185)
| ~ c3_1(X185) )
& ( ~ ndr1_0
| c0_1(X186)
| c1_1(X186)
| c2_1(X186)
| hskp1
| hskp2 )
& ( ~ ndr1_0
| c0_1(X187)
| c1_1(X187)
| c3_1(X187)
| ~ ndr1_0
| c2_1(X188)
| c3_1(X188)
| ~ c1_1(X188)
| ~ ndr1_0
| c2_1(X189)
| ~ c1_1(X189)
| ~ c3_1(X189) )
& ( ~ ndr1_0
| c0_1(X190)
| c1_1(X190)
| ~ c2_1(X190)
| ~ ndr1_0
| c0_1(X191)
| c2_1(X191)
| ~ c1_1(X191)
| hskp3 )
& ( ~ ndr1_0
| c0_1(X192)
| c1_1(X192)
| ~ c2_1(X192)
| ~ ndr1_0
| c0_1(X193)
| c3_1(X193)
| ~ c1_1(X193)
| hskp4 )
& ( ~ ndr1_0
| c0_1(X194)
| c1_1(X194)
| ~ c2_1(X194)
| ~ ndr1_0
| c0_1(X195)
| ~ c1_1(X195)
| ~ c2_1(X195)
| ~ ndr1_0
| ~ c0_1(X196)
| ~ c1_1(X196)
| ~ c2_1(X196) )
& ( ~ ndr1_0
| c0_1(X197)
| c1_1(X197)
| ~ c2_1(X197)
| ~ ndr1_0
| c1_1(X198)
| ~ c2_1(X198)
| ~ c3_1(X198)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X199)
| c1_1(X199)
| ~ c2_1(X199)
| ~ ndr1_0
| c2_1(X200)
| c3_1(X200)
| ~ c0_1(X200)
| ~ ndr1_0
| c2_1(X201)
| ~ c0_1(X201)
| ~ c1_1(X201) )
& ( ~ ndr1_0
| c0_1(X202)
| c1_1(X202)
| ~ c2_1(X202)
| hskp6
| hskp7 )
& ( ~ ndr1_0
| c0_1(X203)
| c1_1(X203)
| ~ c2_1(X203)
| hskp8
| hskp9 )
& ( ~ ndr1_0
| c0_1(X204)
| c1_1(X204)
| ~ c3_1(X204)
| ~ ndr1_0
| ~ c0_1(X205)
| ~ c1_1(X205)
| ~ c2_1(X205)
| hskp10 )
& ( ~ ndr1_0
| c0_1(X206)
| c1_1(X206)
| ~ c3_1(X206)
| ~ ndr1_0
| ~ c0_1(X207)
| ~ c2_1(X207)
| ~ c3_1(X207)
| hskp11 )
& ( ~ ndr1_0
| c0_1(X208)
| c1_1(X208)
| ~ c3_1(X208)
| hskp28
| hskp1 )
& ( ~ ndr1_0
| c0_1(X209)
| c2_1(X209)
| c3_1(X209)
| hskp12
| hskp13 )
& ( ~ ndr1_0
| c0_1(X210)
| c2_1(X210)
| ~ c1_1(X210)
| ~ ndr1_0
| c1_1(X211)
| ~ c0_1(X211)
| ~ c3_1(X211)
| hskp5 )
& ( ~ ndr1_0
| c0_1(X212)
| c2_1(X212)
| ~ c1_1(X212)
| hskp14
| hskp15 )
& ( ~ ndr1_0
| c0_1(X213)
| c2_1(X213)
| ~ c1_1(X213)
| hskp0
| hskp16 )
& ( ~ ndr1_0
| c0_1(X214)
| c3_1(X214)
| ~ c1_1(X214)
| ~ ndr1_0
| c1_1(X215)
| ~ c2_1(X215)
| ~ c3_1(X215)
| hskp29 )
& ( ~ ndr1_0
| c0_1(X216)
| c3_1(X216)
| ~ c2_1(X216)
| ~ ndr1_0
| ~ c0_1(X217)
| ~ c1_1(X217)
| ~ c3_1(X217)
| hskp17 )
& ( ~ ndr1_0
| c0_1(X218)
| c3_1(X218)
| ~ c2_1(X218)
| hskp18 )
& ( ~ ndr1_0
| c0_1(X219)
| c3_1(X219)
| ~ c2_1(X219)
| hskp4
| hskp16 )
& ( ~ ndr1_0
| c0_1(X220)
| ~ c1_1(X220)
| ~ c2_1(X220)
| ~ ndr1_0
| c1_1(X221)
| c3_1(X221)
| ~ c2_1(X221)
| hskp9 )
& ( ~ ndr1_0
| c0_1(X222)
| ~ c1_1(X222)
| ~ c2_1(X222)
| hskp15
| hskp17 )
& ( ~ ndr1_0
| c0_1(X223)
| ~ c1_1(X223)
| ~ c3_1(X223)
| hskp30
| hskp18 )
& ( ~ ndr1_0
| c0_1(X224)
| ~ c1_1(X224)
| ~ c3_1(X224)
| hskp9
| hskp2 )
& ( ~ ndr1_0
| c0_1(X225)
| ~ c2_1(X225)
| ~ c3_1(X225)
| hskp19 )
& ( ~ ndr1_0
| c0_1(X226)
| ~ c2_1(X226)
| ~ c3_1(X226)
| hskp20
| hskp3 )
& ( ~ ndr1_0
| c1_1(X227)
| c2_1(X227)
| c3_1(X227)
| ~ ndr1_0
| c3_1(X228)
| ~ c0_1(X228)
| ~ c1_1(X228)
| hskp9 )
& ( ~ ndr1_0
| c1_1(X229)
| c2_1(X229)
| c3_1(X229)
| ~ ndr1_0
| ~ c1_1(X230)
| ~ c2_1(X230)
| ~ c3_1(X230)
| hskp20 )
& ( ~ ndr1_0
| c1_1(X231)
| c2_1(X231)
| c3_1(X231)
| hskp6
| hskp8 )
& ( ~ ndr1_0
| c1_1(X232)
| c2_1(X232)
| ~ c0_1(X232)
| hskp21
| hskp22 )
& ( ~ ndr1_0
| c1_1(X233)
| c2_1(X233)
| ~ c3_1(X233)
| ~ ndr1_0
| c2_1(X234)
| c3_1(X234)
| ~ c1_1(X234)
| hskp23 )
& ( ~ ndr1_0
| c1_1(X235)
| c2_1(X235)
| ~ c3_1(X235)
| ~ ndr1_0
| c2_1(X236)
| ~ c0_1(X236)
| ~ c1_1(X236)
| hskp1 )
& ( ~ ndr1_0
| c1_1(X237)
| c2_1(X237)
| ~ c3_1(X237)
| hskp24
| hskp25 )
& ( ~ ndr1_0
| c1_1(X238)
| c3_1(X238)
| ~ c0_1(X238)
| hskp14
| hskp13 )
& ( ~ ndr1_0
| c1_1(X239)
| c3_1(X239)
| ~ c2_1(X239)
| ~ ndr1_0
| c1_1(X240)
| ~ c0_1(X240)
| ~ c2_1(X240)
| hskp17 )
& ( ~ ndr1_0
| c1_1(X241)
| ~ c0_1(X241)
| ~ c2_1(X241)
| ~ ndr1_0
| ~ c0_1(X242)
| ~ c1_1(X242)
| ~ c2_1(X242)
| hskp25 )
& ( ~ ndr1_0
| c1_1(X243)
| ~ c0_1(X243)
| ~ c2_1(X243)
| hskp14 )
& ( ~ ndr1_0
| c1_1(X244)
| ~ c0_1(X244)
| ~ c2_1(X244)
| hskp0
| hskp2 )
& ( ~ ndr1_0
| c1_1(X245)
| ~ c2_1(X245)
| ~ c3_1(X245)
| hskp21 )
& ( ~ ndr1_0
| c1_1(X246)
| ~ c2_1(X246)
| ~ c3_1(X246)
| hskp14
| hskp11 )
& ( ~ ndr1_0
| c1_1(X247)
| ~ c2_1(X247)
| ~ c3_1(X247)
| hskp9
| hskp11 )
& ( ~ ndr1_0
| c2_1(X248)
| c3_1(X248)
| ~ c0_1(X248)
| hskp22
| hskp5 )
& ( ~ ndr1_0
| c2_1(X249)
| ~ c0_1(X249)
| ~ c1_1(X249)
| hskp30
| hskp9 )
& ( ~ ndr1_0
| c2_1(X250)
| ~ c0_1(X250)
| ~ c1_1(X250)
| hskp4
| hskp1 )
& ( ~ ndr1_0
| c2_1(X251)
| ~ c0_1(X251)
| ~ c3_1(X251)
| hskp28
| hskp9 )
& ( ~ ndr1_0
| c2_1(X252)
| ~ c1_1(X252)
| ~ c3_1(X252)
| ~ ndr1_0
| ~ c0_1(X253)
| ~ c2_1(X253)
| ~ c3_1(X253)
| hskp26 )
& ( ~ ndr1_0
| c3_1(X254)
| ~ c0_1(X254)
| ~ c1_1(X254)
| ~ ndr1_0
| c3_1(X255)
| ~ c0_1(X255)
| ~ c2_1(X255)
| hskp5 )
& ( ~ ndr1_0
| c3_1(X256)
| ~ c0_1(X256)
| ~ c2_1(X256)
| ~ ndr1_0
| c3_1(X257)
| ~ c1_1(X257)
| ~ c2_1(X257)
| hskp31 )
& ( ~ ndr1_0
| ~ c0_1(X258)
| ~ c1_1(X258)
| ~ c2_1(X258)
| hskp5
| hskp13 )
& ( ~ ndr1_0
| ~ c0_1(X259)
| ~ c1_1(X259)
| ~ c3_1(X259)
| hskp19
| hskp2 )
& ( ~ ndr1_0
| ~ c1_1(X260)
| ~ c2_1(X260)
| ~ c3_1(X260)
| hskp31
| hskp3 )
& ( ~ ndr1_0
| ~ c1_1(X261)
| ~ c2_1(X261)
| ~ c3_1(X261)
| hskp20
| hskp24 )
& ( hskp31
| hskp12
| hskp13 )
& ( hskp28
| hskp6
| hskp18 )
& ( hskp20
| hskp27
| hskp13 )
& ( hskp0
| hskp5 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).
cnf(c_0_3,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( hskp0
| hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_6,plain,
( ~ epred38_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_7,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
fof(c_0_8,plain,
( ~ epred25_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp10
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_9,plain,
( ~ epred14_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| hskp5
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_10,negated_conjecture,
( ~ c3_1(a1090)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( epred38_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_6]),c_0_7])]) ).
cnf(c_0_12,negated_conjecture,
( ~ c1_1(a1090)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( ~ c0_1(a1090)
| ~ hskp10 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( epred25_0
| hskp10
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_7])]) ).
cnf(c_0_15,negated_conjecture,
( epred14_0
| hskp5
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_7])]) ).
cnf(c_0_16,negated_conjecture,
( c1_1(a1080)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_17,plain,
( ~ epred15_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_18,plain,
( ~ epred23_0
<=> ! [X1] :
( c3_1(X1)
| hskp5
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_19,negated_conjecture,
( epred38_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( epred38_0
| epred25_0
| hskp10
| c0_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_21,negated_conjecture,
( ~ c0_1(a1080)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,negated_conjecture,
( epred14_0
| hskp5
| c2_1(a1080)
| c0_1(a1080) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_4]) ).
fof(c_0_23,plain,
( ~ epred28_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_24,plain,
( ~ epred24_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_25,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_26,plain,
( ~ epred13_0
<=> ! [X2] :
( c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_27,negated_conjecture,
( c2_1(X1)
| hskp28
| hskp9
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( epred15_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_17]) ).
cnf(c_0_29,negated_conjecture,
( c3_1(a1095)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( ~ c1_1(a1095)
| ~ hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,negated_conjecture,
( hskp5
| hskp13
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( epred23_0
| hskp5
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_7])]) ).
cnf(c_0_33,negated_conjecture,
( c0_1(a1094)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,negated_conjecture,
( c1_1(a1094)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( ~ c3_1(a1094)
| ~ hskp12 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X2)
| hskp5
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,negated_conjecture,
( ~ c0_1(a1085)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( epred38_0
| epred25_0
| c0_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( ~ c1_1(a1085)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( ~ c2_1(a1080)
| ~ hskp0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( epred14_0
| hskp5
| c2_1(a1080) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_4]) ).
cnf(c_0_42,negated_conjecture,
( epred28_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_23]) ).
cnf(c_0_43,negated_conjecture,
( epred24_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_24]) ).
cnf(c_0_44,negated_conjecture,
( epred30_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_25]) ).
cnf(c_0_45,negated_conjecture,
( c3_1(a1092)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( c0_1(a1092)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,negated_conjecture,
( epred13_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( c2_1(a1092)
| ~ hskp28 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,negated_conjecture,
( c3_1(a1103)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_50,negated_conjecture,
( ~ c1_1(a1103)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( hskp28
| hskp9
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_7])]) ).
cnf(c_0_52,negated_conjecture,
( c0_1(a1103)
| ~ hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( c3_1(a1089)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( c2_1(a1089)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
( ~ c1_1(a1089)
| ~ hskp9 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( c0_1(X1)
| hskp30
| hskp18
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_57,negated_conjecture,
( epred15_0
| ~ hskp13
| ~ c0_1(a1095) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_58,negated_conjecture,
( epred25_0
| hskp10
| c0_1(a1095)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_29]),c_0_30]) ).
cnf(c_0_59,negated_conjecture,
( hskp13
| hskp5
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_7])]) ).
cnf(c_0_60,negated_conjecture,
( c0_1(a1148)
| ~ hskp31 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_61,negated_conjecture,
( c1_1(a1148)
| ~ hskp31 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_62,negated_conjecture,
( c2_1(a1148)
| ~ hskp31 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_63,negated_conjecture,
( epred23_0
| hskp5
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]) ).
cnf(c_0_64,negated_conjecture,
( hskp31
| hskp12
| hskp13 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_65,negated_conjecture,
( hskp5
| c1_1(X2)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_36]) ).
cnf(c_0_66,negated_conjecture,
( epred38_0
| epred25_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_67,negated_conjecture,
( epred14_0
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_4]) ).
cnf(c_0_68,negated_conjecture,
( epred28_0
| epred24_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_69,plain,
( ~ epred31_0
<=> ! [X1] :
( c3_1(X1)
| hskp31
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_70,plain,
( ~ epred22_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| hskp29
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_71,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_72,negated_conjecture,
( c1_1(X1)
| hskp21
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_73,negated_conjecture,
( epred30_0
| ~ hskp28
| ~ c1_1(a1092) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_74,negated_conjecture,
( epred13_0
| c1_1(a1092)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_48]) ).
cnf(c_0_75,negated_conjecture,
( epred13_0
| ~ hskp18
| ~ c2_1(a1103) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_50]) ).
cnf(c_0_76,negated_conjecture,
( hskp28
| hskp9
| c2_1(a1103)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_52]) ).
cnf(c_0_77,negated_conjecture,
( epred13_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_78,negated_conjecture,
( c3_1(a1097)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_79,negated_conjecture,
( c1_1(a1097)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_80,negated_conjecture,
( hskp30
| hskp18
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_7])]) ).
cnf(c_0_81,negated_conjecture,
( c3_1(a1109)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,negated_conjecture,
( c1_1(a1109)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_83,negated_conjecture,
( c0_1(a1109)
| ~ hskp30 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_84,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| hskp5
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_85,negated_conjecture,
( epred25_0
| epred15_0
| hskp10
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_86,negated_conjecture,
( hskp13
| hskp5
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]) ).
cnf(c_0_87,negated_conjecture,
( epred23_0
| hskp31
| hskp13
| hskp5 ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_88,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_65,c_0_9]),c_0_17]) ).
cnf(c_0_89,negated_conjecture,
( epred38_0
| epred25_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_90,negated_conjecture,
( epred28_0
| epred24_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_46]),c_0_48]) ).
cnf(c_0_91,negated_conjecture,
( hskp28
| hskp6
| hskp18 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_92,negated_conjecture,
( c0_1(a1086)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_93,negated_conjecture,
( c2_1(a1086)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_94,plain,
( ~ epred27_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| hskp11
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_95,plain,
( ~ epred39_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_96,plain,
( ~ epred37_0
<=> ! [X3] :
( c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_97,negated_conjecture,
( c1_1(X1)
| hskp14
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_98,negated_conjecture,
( hskp31
| hskp3
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_99,negated_conjecture,
( epred31_0
| hskp31
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_69]),c_0_7])]) ).
cnf(c_0_100,negated_conjecture,
( c2_1(a1120)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_101,negated_conjecture,
( ~ c3_1(a1120)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_102,negated_conjecture,
( epred22_0
| hskp29
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_70]),c_0_7])]) ).
cnf(c_0_103,negated_conjecture,
( c1_1(a1120)
| ~ hskp21 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_104,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp18
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_105,plain,
( ~ epred17_0
<=> ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_106,plain,
( ~ epred34_0
<=> ! [X1] :
( c2_1(X1)
| hskp26
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_107,plain,
( ~ epred32_0
<=> ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_108,negated_conjecture,
( epred26_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_71]) ).
cnf(c_0_109,negated_conjecture,
( hskp21
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_7])]) ).
cnf(c_0_110,negated_conjecture,
( epred30_0
| epred13_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_111,negated_conjecture,
( epred13_0
| hskp28
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_112,negated_conjecture,
( epred30_0
| ~ hskp14
| ~ c0_1(a1097) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_78]),c_0_79]) ).
cnf(c_0_113,negated_conjecture,
( hskp30
| hskp18
| c0_1(a1097)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_79]) ).
cnf(c_0_114,negated_conjecture,
( epred30_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_115,negated_conjecture,
( hskp5
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[c_0_84]) ).
cnf(c_0_116,negated_conjecture,
( epred38_0
| epred25_0
| epred15_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_19,c_0_85]) ).
cnf(c_0_117,negated_conjecture,
( epred23_0
| hskp13
| hskp5 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_118,negated_conjecture,
( epred38_0
| epred25_0
| ~ epred15_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_119,negated_conjecture,
( epred15_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_49]),c_0_52]),c_0_50]) ).
cnf(c_0_120,negated_conjecture,
( epred28_0
| epred24_0
| hskp18
| hskp6 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_121,negated_conjecture,
( epred28_0
| epred24_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_92]),c_0_93]) ).
cnf(c_0_122,negated_conjecture,
( epred27_0
| hskp11
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_94]),c_0_7])]) ).
cnf(c_0_123,negated_conjecture,
( epred39_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_95]) ).
cnf(c_0_124,negated_conjecture,
( ~ c3_1(a1122)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_125,negated_conjecture,
( epred37_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_96]),c_0_7])]) ).
cnf(c_0_126,negated_conjecture,
( c0_1(a1122)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_127,negated_conjecture,
( hskp14
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_7])]) ).
cnf(c_0_128,negated_conjecture,
( c2_1(a1122)
| ~ hskp23 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_129,plain,
( ~ epred8_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| hskp23
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_130,plain,
( ~ epred4_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_131,plain,
( ~ epred3_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| hskp3
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_132,negated_conjecture,
( hskp31
| hskp3
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_7])]) ).
cnf(c_0_133,negated_conjecture,
( c3_1(a1101)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_134,negated_conjecture,
( c1_1(a1101)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_135,negated_conjecture,
( c2_1(a1101)
| ~ hskp29 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_136,negated_conjecture,
( epred31_0
| hskp31
| ~ hskp21
| ~ c0_1(a1120) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_137,negated_conjecture,
( epred22_0
| hskp29
| c0_1(a1120)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_101]) ).
cnf(c_0_138,negated_conjecture,
( c3_1(a1146)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_139,negated_conjecture,
( ~ c0_1(a1146)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_140,negated_conjecture,
( hskp18
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_7])]) ).
cnf(c_0_141,negated_conjecture,
( c2_1(a1091)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_142,negated_conjecture,
( ~ c0_1(a1091)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_143,negated_conjecture,
( ~ c3_1(a1091)
| ~ hskp11 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_144,plain,
( ~ epred43_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_145,plain,
( ~ epred41_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_146,negated_conjecture,
( epred17_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_105]) ).
cnf(c_0_147,negated_conjecture,
( c2_1(a1146)
| ~ hskp26 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_148,negated_conjecture,
( epred34_0
| hskp26
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_106]),c_0_7])]) ).
fof(c_0_149,plain,
( ~ epred29_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| hskp17
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_150,negated_conjecture,
( c0_1(X1)
| hskp19
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_151,plain,
( ~ epred18_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| hskp17
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( ~ epred5_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| hskp4
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_153,plain,
( ~ epred1_0
<=> ! [X1] :
( hskp0
| c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( epred32_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_107]) ).
cnf(c_0_155,negated_conjecture,
( epred26_0
| ~ hskp28
| ~ c1_1(a1092) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_46]),c_0_48]) ).
cnf(c_0_156,negated_conjecture,
( hskp21
| c1_1(a1092)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_45]),c_0_48]) ).
cnf(c_0_157,negated_conjecture,
( hskp21
| ~ hskp18
| ~ c2_1(a1103) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_49]),c_0_50]) ).
cnf(c_0_158,negated_conjecture,
( hskp21
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_159,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_160,negated_conjecture,
( ~ c1_1(a1086)
| ~ hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_161,negated_conjecture,
( epred30_0
| epred13_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_162,negated_conjecture,
( epred30_0
| epred13_0
| hskp18
| hskp6 ),
inference(spm,[status(thm)],[c_0_110,c_0_91]) ).
cnf(c_0_163,negated_conjecture,
( epred30_0
| hskp18
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_164,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp10
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_165,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_115,c_0_18]),c_0_24]) ).
cnf(c_0_166,negated_conjecture,
( epred38_0
| epred25_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_66]),c_0_118]) ).
cnf(c_0_167,negated_conjecture,
( epred28_0
| epred24_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_168,negated_conjecture,
( epred27_0
| hskp11
| c0_1(a1095)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_29]),c_0_30]) ).
cnf(c_0_169,negated_conjecture,
( hskp13
| hskp5
| ~ hskp12
| ~ c2_1(a1094) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_33]),c_0_34]) ).
cnf(c_0_170,negated_conjecture,
( epred39_0
| c2_1(a1094)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_123]),c_0_34]) ).
fof(c_0_171,plain,
( ~ epred35_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_172,negated_conjecture,
( epred37_0
| ~ hskp23
| ~ c1_1(a1122) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_173,negated_conjecture,
( hskp14
| c1_1(a1122)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_126]),c_0_128]) ).
cnf(c_0_174,negated_conjecture,
( epred8_0
| hskp23
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_7])]) ).
cnf(c_0_175,negated_conjecture,
( c1_1(a1083)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_176,negated_conjecture,
( ~ c2_1(a1083)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_177,negated_conjecture,
( ~ c3_1(a1083)
| ~ hskp3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_178,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_179,negated_conjecture,
( epred4_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_130]) ).
cnf(c_0_180,negated_conjecture,
( c2_1(a1085)
| ~ hskp5 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_181,plain,
( ~ epred9_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_182,negated_conjecture,
( epred3_0
| hskp3
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_7])]) ).
cnf(c_0_183,negated_conjecture,
( ~ c2_1(a1097)
| ~ hskp14 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_184,plain,
( ~ epred2_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_185,negated_conjecture,
( hskp31
| hskp3
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_186,negated_conjecture,
( epred31_0
| epred22_0
| hskp31
| hskp29
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_187,negated_conjecture,
( hskp30
| hskp18
| ~ hskp26
| ~ c1_1(a1146) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_138]),c_0_139]) ).
cnf(c_0_188,negated_conjecture,
( epred27_0
| hskp11
| c1_1(a1146)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_138]),c_0_139]) ).
cnf(c_0_189,negated_conjecture,
( hskp18
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143]) ).
cnf(c_0_190,negated_conjecture,
( hskp31
| hskp3
| ~ hskp28
| ~ c1_1(a1092) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_45]),c_0_48]) ).
cnf(c_0_191,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp4
| hskp16
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_192,negated_conjecture,
( epred43_0
| c2_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_144]),c_0_7])]) ).
cnf(c_0_193,negated_conjecture,
( epred41_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_7])]) ).
cnf(c_0_194,negated_conjecture,
( ~ c3_1(a1084)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_195,negated_conjecture,
( c0_1(a1084)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_196,negated_conjecture,
( ~ c3_1(a1125)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_197,negated_conjecture,
( ~ c2_1(a1125)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_198,plain,
( ~ epred36_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_199,negated_conjecture,
( epred17_0
| ~ hskp26
| ~ c1_1(a1146) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_146]),c_0_147]) ).
cnf(c_0_200,negated_conjecture,
( epred25_0
| hskp10
| c1_1(a1146)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_138]),c_0_139]) ).
cnf(c_0_201,negated_conjecture,
( epred39_0
| epred34_0
| hskp26
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_123]) ).
cnf(c_0_202,negated_conjecture,
( epred29_0
| hskp17
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_149]),c_0_7])]) ).
cnf(c_0_203,negated_conjecture,
( hskp19
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_7])]) ).
cnf(c_0_204,negated_conjecture,
( epred18_0
| hskp17
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_7])]) ).
cnf(c_0_205,negated_conjecture,
( c1_1(X1)
| hskp9
| hskp11
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_206,negated_conjecture,
( c1_1(X1)
| hskp14
| hskp11
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_207,negated_conjecture,
( c2_1(a1098)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_208,negated_conjecture,
( ~ c3_1(a1098)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_209,negated_conjecture,
( epred5_0
| hskp4
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_7])]) ).
fof(c_0_210,plain,
( ~ epred11_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_211,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp0
| hskp16
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_212,negated_conjecture,
( ~ c0_1(a1102)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_213,negated_conjecture,
( epred1_0
| c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_7])]) ).
cnf(c_0_214,negated_conjecture,
( ~ c2_1(a1102)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_215,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp6
| hskp7
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_216,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp24
| hskp25
| ~ ndr1_0
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_217,negated_conjecture,
( c1_1(X1)
| hskp0
| hskp2
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_218,negated_conjecture,
( c0_1(X1)
| hskp20
| hskp3
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_219,negated_conjecture,
( epred32_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_154]),c_0_103]),c_0_100]) ).
cnf(c_0_220,negated_conjecture,
( epred26_0
| hskp21
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_221,negated_conjecture,
( hskp28
| hskp21
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_76]),c_0_158]) ).
cnf(c_0_222,negated_conjecture,
( c1_1(X3)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(cn,[status(thm)],[c_0_159]) ).
cnf(c_0_223,negated_conjecture,
( hskp14
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_92]),c_0_93]),c_0_160]) ).
cnf(c_0_224,negated_conjecture,
( epred30_0
| epred13_0
| hskp6 ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_225,negated_conjecture,
( epred30_0
| epred13_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_161,c_0_163]) ).
cnf(c_0_226,negated_conjecture,
( epred24_0
| ~ hskp21
| ~ c0_1(a1120) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_43]),c_0_100]) ).
cnf(c_0_227,negated_conjecture,
( hskp18
| c0_1(a1120)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_100]),c_0_101]) ).
cnf(c_0_228,negated_conjecture,
( hskp13
| hskp5
| ~ hskp28
| ~ c1_1(a1092) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_48]) ).
cnf(c_0_229,negated_conjecture,
( hskp10
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_164]) ).
cnf(c_0_230,negated_conjecture,
( epred38_0
| epred25_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_231,negated_conjecture,
( epred38_0
| epred28_0
| epred25_0
| epred24_0 ),
inference(spm,[status(thm)],[c_0_118,c_0_167]) ).
cnf(c_0_232,negated_conjecture,
( epred27_0
| epred15_0
| hskp11
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_57,c_0_168]) ).
cnf(c_0_233,negated_conjecture,
( epred39_0
| hskp13
| hskp5
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_234,negated_conjecture,
( ~ c3_1(a1082)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_235,negated_conjecture,
( ~ c2_1(a1082)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_236,negated_conjecture,
( ~ c0_1(a1082)
| ~ hskp2 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_237,plain,
( ~ epred42_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_238,negated_conjecture,
( epred35_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_7])]) ).
cnf(c_0_239,negated_conjecture,
( epred15_0
| ~ hskp9
| ~ c0_1(a1089) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_53]),c_0_55]) ).
cnf(c_0_240,negated_conjecture,
( epred27_0
| hskp11
| c0_1(a1089)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_53]),c_0_55]) ).
cnf(c_0_241,negated_conjecture,
( epred37_0
| hskp14
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_242,negated_conjecture,
( epred8_0
| hskp23
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_177]) ).
cnf(c_0_243,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| c2_1(X3)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_178]) ).
cnf(c_0_244,negated_conjecture,
( epred4_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_179]),c_0_180]),c_0_39]) ).
cnf(c_0_245,negated_conjecture,
( epred9_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_181]) ).
fof(c_0_246,plain,
( ~ epred40_0
<=> ! [X3] :
( c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_247,negated_conjecture,
( epred3_0
| hskp3
| c0_1(a1097)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_79]),c_0_183]) ).
cnf(c_0_248,negated_conjecture,
( epred39_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_123]),c_0_175]),c_0_176]) ).
cnf(c_0_249,negated_conjecture,
( epred3_0
| hskp3
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_16]),c_0_21]),c_0_40]) ).
cnf(c_0_250,negated_conjecture,
( ~ c0_1(a1100)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_251,negated_conjecture,
( c1_1(a1100)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_252,negated_conjecture,
( ~ c3_1(a1100)
| ~ hskp16 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_253,plain,
( ~ epred19_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_254,negated_conjecture,
( epred2_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_184]) ).
cnf(c_0_255,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_256,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_257,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_258,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ ndr1_0
| ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_259,negated_conjecture,
( c2_1(X1)
| hskp26
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_260,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| hskp31
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_261,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp17
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_262,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp11
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_263,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp29
| ~ ndr1_0
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_264,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp17
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_265,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp23
| ~ ndr1_0
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_266,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp4
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_267,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_268,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp0
| ~ ndr1_0
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_269,negated_conjecture,
( epred31_0
| epred22_0
| hskp31
| hskp3
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_270,negated_conjecture,
( hskp28
| hskp9
| ~ hskp14
| ~ c0_1(a1097) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_78]),c_0_183]) ).
cnf(c_0_271,negated_conjecture,
( hskp13
| hskp5
| ~ hskp30
| ~ c2_1(a1109) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_83]),c_0_82]) ).
cnf(c_0_272,negated_conjecture,
( hskp28
| hskp9
| c2_1(a1109)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_81]),c_0_83]) ).
cnf(c_0_273,negated_conjecture,
( epred27_0
| hskp30
| hskp18
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).
cnf(c_0_274,negated_conjecture,
( epred34_0
| hskp26
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_78]),c_0_79]),c_0_183]) ).
cnf(c_0_275,negated_conjecture,
( hskp31
| hskp21
| hskp3
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_190,c_0_156]) ).
cnf(c_0_276,negated_conjecture,
( hskp16
| hskp4
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_7])]) ).
cnf(c_0_277,negated_conjecture,
( epred43_0
| c2_1(a1090)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_192]),c_0_12]) ).
cnf(c_0_278,negated_conjecture,
( epred41_0
| epred15_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_193]) ).
cnf(c_0_279,negated_conjecture,
( c0_1(a1114)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_280,negated_conjecture,
( epred41_0
| c2_1(a1084)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_193]),c_0_195]) ).
cnf(c_0_281,negated_conjecture,
( epred41_0
| ~ hskp25
| ~ c0_1(a1125) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_193]),c_0_197]) ).
cnf(c_0_282,negated_conjecture,
( epred36_0
| c2_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_198]) ).
cnf(c_0_283,negated_conjecture,
( epred31_0
| hskp31
| c3_1(a1086)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_93]),c_0_92]) ).
cnf(c_0_284,negated_conjecture,
( epred25_0
| epred17_0
| hskp10
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_285,negated_conjecture,
( epred39_0
| epred34_0
| hskp26
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_79]),c_0_183]) ).
cnf(c_0_286,negated_conjecture,
( epred29_0
| hskp17
| c3_1(a1085)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_180]),c_0_37]) ).
cnf(c_0_287,negated_conjecture,
( epred38_0
| hskp19
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_11]) ).
cnf(c_0_288,negated_conjecture,
( epred38_0
| hskp21
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_11]) ).
cnf(c_0_289,negated_conjecture,
( epred18_0
| hskp17
| c3_1(a1086)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_93]),c_0_160]) ).
cnf(c_0_290,negated_conjecture,
( hskp18
| c3_1(a1085)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_180]),c_0_37]) ).
cnf(c_0_291,negated_conjecture,
( hskp11
| hskp9
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_7])]) ).
cnf(c_0_292,negated_conjecture,
( hskp14
| hskp11
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_7])]) ).
cnf(c_0_293,negated_conjecture,
( hskp18
| c0_1(a1098)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_207]),c_0_208]) ).
cnf(c_0_294,negated_conjecture,
( epred5_0
| hskp4
| c0_1(a1120)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_103]),c_0_101]) ).
cnf(c_0_295,negated_conjecture,
( epred28_0
| ~ hskp9
| ~ c0_1(a1089) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_54]) ).
cnf(c_0_296,negated_conjecture,
( epred11_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_210]) ).
cnf(c_0_297,negated_conjecture,
( hskp16
| c2_1(X1)
| c0_1(X1)
| hskp0
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_7])]) ).
cnf(c_0_298,negated_conjecture,
( epred1_0
| c1_1(a1102)
| hskp0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).
cnf(c_0_299,negated_conjecture,
( hskp7
| hskp6
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_7])]) ).
cnf(c_0_300,negated_conjecture,
( hskp25
| hskp24
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_7])]) ).
cnf(c_0_301,negated_conjecture,
( hskp2
| c1_1(X1)
| hskp0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_7])]) ).
cnf(c_0_302,negated_conjecture,
( hskp20
| hskp3
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_7])]) ).
cnf(c_0_303,negated_conjecture,
( epred32_0
| epred26_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_304,negated_conjecture,
( epred32_0
| hskp28
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_219,c_0_221]) ).
cnf(c_0_305,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_222,c_0_171]),c_0_198]),c_0_26]) ).
cnf(c_0_306,negated_conjecture,
( epred30_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]) ).
cnf(c_0_307,negated_conjecture,
( epred26_0
| epred13_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_155,c_0_74]) ).
cnf(c_0_308,negated_conjecture,
( epred28_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_45]),c_0_46]),c_0_48]) ).
cnf(c_0_309,negated_conjecture,
( epred26_0
| ~ hskp30
| ~ c2_1(a1109) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_83]),c_0_82]) ).
cnf(c_0_310,negated_conjecture,
( epred28_0
| ~ hskp30
| ~ c2_1(a1109) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_81]),c_0_83]) ).
cnf(c_0_311,negated_conjecture,
( epred24_0
| hskp18
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_312,negated_conjecture,
( hskp21
| hskp13
| hskp5
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_228,c_0_156]) ).
cnf(c_0_313,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_229,c_0_8]),c_0_71]) ).
cnf(c_0_314,negated_conjecture,
( epred38_0
| epred28_0
| epred25_0 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_315,negated_conjecture,
( epred27_0
| epred15_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_232]),c_0_119]) ).
cnf(c_0_316,negated_conjecture,
( epred39_0
| hskp13
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_64]),c_0_86]) ).
cnf(c_0_317,negated_conjecture,
( epred39_0
| ~ hskp2
| ~ c1_1(a1082) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_123]),c_0_235]) ).
cnf(c_0_318,negated_conjecture,
( epred43_0
| c1_1(a1082)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_192]),c_0_235]) ).
cnf(c_0_319,negated_conjecture,
( epred42_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_7])]) ).
cnf(c_0_320,negated_conjecture,
( epred35_0
| c0_1(a1125)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_238]),c_0_197]) ).
cnf(c_0_321,negated_conjecture,
( epred27_0
| epred15_0
| hskp11
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_322,negated_conjecture,
( epred37_0
| epred8_0
| hskp14
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_323,negated_conjecture,
( ~ epred41_0
| ~ epred11_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_243,c_0_145]),c_0_210]),c_0_130]) ).
cnf(c_0_324,negated_conjecture,
( epred14_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_244,c_0_67]) ).
cnf(c_0_325,negated_conjecture,
( hskp14
| ~ hskp18
| ~ c2_1(a1103) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_52]),c_0_50]) ).
cnf(c_0_326,negated_conjecture,
( epred9_0
| c2_1(a1103)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_49]),c_0_50]) ).
cnf(c_0_327,negated_conjecture,
( epred40_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_246]) ).
cnf(c_0_328,negated_conjecture,
( epred30_0
| epred3_0
| hskp3
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_112,c_0_247]) ).
cnf(c_0_329,negated_conjecture,
( epred39_0
| epred3_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_330,negated_conjecture,
( epred17_0
| ~ hskp16
| ~ c2_1(a1100) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_146]),c_0_251]) ).
cnf(c_0_331,negated_conjecture,
( epred39_0
| c2_1(a1100)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_123]),c_0_251]) ).
cnf(c_0_332,negated_conjecture,
( ~ c0_1(a1087)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_333,negated_conjecture,
( ~ c1_1(a1087)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_334,negated_conjecture,
( ~ c2_1(a1087)
| ~ hskp7 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_335,negated_conjecture,
( epred19_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_253]) ).
cnf(c_0_336,negated_conjecture,
( epred3_0
| hskp3
| c2_1(a1100)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_251]),c_0_250]) ).
cnf(c_0_337,negated_conjecture,
( ~ c0_1(a1124)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_338,negated_conjecture,
( c1_1(a1124)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_339,negated_conjecture,
( c2_1(a1124)
| ~ hskp24 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_340,negated_conjecture,
( c0_1(a1113)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_341,negated_conjecture,
( c1_1(a1113)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_342,negated_conjecture,
( ~ c2_1(a1113)
| ~ hskp19 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_343,negated_conjecture,
( c3_1(a1102)
| ~ hskp17 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_344,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp14
| hskp15
| ~ ndr1_0
| ~ c1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_345,negated_conjecture,
( epred35_0
| epred2_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_238]) ).
cnf(c_0_346,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_255]) ).
cnf(c_0_347,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_256]) ).
cnf(c_0_348,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| c2_1(X3)
| c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
inference(cn,[status(thm)],[c_0_257]) ).
cnf(c_0_349,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_258]) ).
cnf(c_0_350,negated_conjecture,
( hskp26
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_259]) ).
cnf(c_0_351,negated_conjecture,
( hskp31
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_260]) ).
cnf(c_0_352,negated_conjecture,
( hskp17
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_261]) ).
cnf(c_0_353,negated_conjecture,
( hskp11
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_262]) ).
cnf(c_0_354,negated_conjecture,
( hskp29
| c1_1(X2)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_263]) ).
cnf(c_0_355,negated_conjecture,
( hskp17
| c1_1(X2)
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_264]) ).
cnf(c_0_356,negated_conjecture,
( hskp23
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[c_0_265]) ).
cnf(c_0_357,negated_conjecture,
( hskp4
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_266]) ).
cnf(c_0_358,negated_conjecture,
( hskp3
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[c_0_267]) ).
cnf(c_0_359,negated_conjecture,
( hskp0
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[c_0_268]) ).
cnf(c_0_360,negated_conjecture,
( epred31_0
| epred22_0
| hskp31
| hskp3
| hskp28
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_269,c_0_221]) ).
cnf(c_0_361,negated_conjecture,
( hskp28
| hskp9
| hskp30
| hskp18
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_270,c_0_113]) ).
cnf(c_0_362,negated_conjecture,
( hskp13
| hskp5
| hskp28
| hskp9
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_363,negated_conjecture,
( epred27_0
| hskp30
| hskp18
| epred34_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_364,negated_conjecture,
( epred31_0
| epred22_0
| hskp31
| hskp3
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_269,c_0_275]) ).
cnf(c_0_365,negated_conjecture,
( hskp16
| hskp4
| c3_1(a1090)
| c0_1(a1090)
| epred43_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_366,negated_conjecture,
( epred41_0
| epred15_0
| c2_1(a1114)
| c1_1(a1114)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_367,negated_conjecture,
( epred31_0
| hskp31
| c3_1(a1084)
| epred41_0
| ~ c0_1(a1084)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_99,c_0_280]) ).
cnf(c_0_368,negated_conjecture,
( epred41_0
| epred36_0
| c2_1(a1125)
| c1_1(a1125)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_369,negated_conjecture,
( epred28_0
| epred31_0
| hskp31
| ~ c2_1(a1086)
| ~ c0_1(a1086)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_42,c_0_283]) ).
cnf(c_0_370,negated_conjecture,
( epred25_0
| epred17_0
| hskp10
| epred39_0
| epred34_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_284,c_0_285]) ).
cnf(c_0_371,negated_conjecture,
( epred13_0
| c1_1(a1085)
| epred29_0
| hskp17
| ~ c2_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_47,c_0_286]) ).
cnf(c_0_372,negated_conjecture,
( epred38_0
| hskp19
| c0_1(a1085)
| c1_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_287,c_0_180]) ).
cnf(c_0_373,negated_conjecture,
( epred38_0
| hskp21
| c0_1(a1085)
| c1_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_288,c_0_180]) ).
cnf(c_0_374,negated_conjecture,
( epred28_0
| epred18_0
| hskp17
| ~ c2_1(a1086)
| ~ c0_1(a1086)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_42,c_0_289]) ).
cnf(c_0_375,negated_conjecture,
( hskp19
| c0_1(a1085)
| hskp18
| ~ c2_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_203,c_0_290]) ).
cnf(c_0_376,negated_conjecture,
( hskp21
| c1_1(a1085)
| hskp18
| ~ c2_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_109,c_0_290]) ).
cnf(c_0_377,negated_conjecture,
( hskp11
| hskp9
| c1_1(a1085)
| hskp18
| ~ c2_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_291,c_0_290]) ).
cnf(c_0_378,negated_conjecture,
( hskp14
| hskp11
| c1_1(a1085)
| hskp18
| ~ c2_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_292,c_0_290]) ).
cnf(c_0_379,negated_conjecture,
( epred27_0
| hskp11
| c0_1(a1085)
| c1_1(a1085)
| hskp18
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_122,c_0_290]) ).
cnf(c_0_380,negated_conjecture,
( hskp14
| c1_1(a1098)
| hskp18
| ~ c2_1(a1098)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_127,c_0_293]) ).
cnf(c_0_381,negated_conjecture,
( epred26_0
| hskp18
| ~ c2_1(a1120)
| ~ c1_1(a1120)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_108,c_0_227]) ).
cnf(c_0_382,negated_conjecture,
( epred26_0
| epred5_0
| hskp4
| ~ c2_1(a1120)
| ~ c1_1(a1120)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_108,c_0_294]) ).
cnf(c_0_383,negated_conjecture,
( epred28_0
| epred4_0
| c1_1(a1089)
| ~ hskp9
| ~ c2_1(a1089) ),
inference(spm,[status(thm)],[c_0_295,c_0_179]) ).
cnf(c_0_384,negated_conjecture,
( epred11_0
| c2_1(a1097)
| epred3_0
| hskp3
| ~ c1_1(a1097)
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_296,c_0_247]) ).
cnf(c_0_385,negated_conjecture,
( hskp16
| c2_1(a1102)
| c0_1(a1102)
| hskp0
| epred1_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_386,negated_conjecture,
( hskp7
| hskp6
| c0_1(a1085)
| c1_1(a1085)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_299,c_0_180]) ).
cnf(c_0_387,negated_conjecture,
( hskp25
| hskp24
| c2_1(a1103)
| c1_1(a1103)
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_300,c_0_49]) ).
cnf(c_0_388,negated_conjecture,
( hskp2
| c1_1(a1084)
| hskp0
| ~ c2_1(a1084)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_301,c_0_195]) ).
cnf(c_0_389,negated_conjecture,
( hskp20
| hskp3
| c0_1(a1089)
| ~ c2_1(a1089)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_302,c_0_53]) ).
cnf(c_0_390,negated_conjecture,
( epred32_0
| epred26_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_391,negated_conjecture,
( epred30_0
| ~ epred36_0
| ~ epred35_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_392,negated_conjecture,
( epred26_0
| epred13_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_307,c_0_111]) ).
cnf(c_0_393,negated_conjecture,
( epred28_0
| epred13_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_308,c_0_111]) ).
cnf(c_0_394,negated_conjecture,
( epred26_0
| hskp28
| hskp9
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_309,c_0_272]) ).
cnf(c_0_395,negated_conjecture,
( epred28_0
| hskp9
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_272]),c_0_308]) ).
cnf(c_0_396,negated_conjecture,
( epred24_0
| hskp18
| hskp13
| hskp5
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_397,negated_conjecture,
( epred38_0
| epred28_0
| ~ epred26_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_398,negated_conjecture,
( epred39_0
| hskp30
| hskp18
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_123]) ).
cnf(c_0_399,negated_conjecture,
( epred39_0
| epred27_0
| epred15_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_400,negated_conjecture,
( epred27_0
| epred23_0
| epred15_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_315,c_0_117]) ).
cnf(c_0_401,negated_conjecture,
( epred43_0
| epred39_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_402,negated_conjecture,
( epred42_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_319]),c_0_180]),c_0_39]) ).
cnf(c_0_403,negated_conjecture,
( epred41_0
| epred35_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_281,c_0_320]) ).
cnf(c_0_404,negated_conjecture,
( epred27_0
| epred15_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_321]),c_0_119]) ).
cnf(c_0_405,negated_conjecture,
( epred37_0
| epred8_0
| epred3_0
| hskp14
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_322,c_0_249]) ).
cnf(c_0_406,negated_conjecture,
( epred14_0
| ~ epred41_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_324]) ).
cnf(c_0_407,negated_conjecture,
( epred9_0
| hskp14
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_408,negated_conjecture,
( epred32_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_219,c_0_158]) ).
cnf(c_0_409,negated_conjecture,
( epred40_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_78]),c_0_79]),c_0_183]) ).
cnf(c_0_410,negated_conjecture,
( epred39_0
| epred30_0
| epred3_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_248,c_0_328]) ).
cnf(c_0_411,negated_conjecture,
( epred39_0
| epred3_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_329,c_0_4]) ).
cnf(c_0_412,negated_conjecture,
( epred39_0
| epred17_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_413,negated_conjecture,
( epred36_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_282]),c_0_333]),c_0_334]) ).
cnf(c_0_414,negated_conjecture,
( epred28_0
| ~ hskp18
| ~ c2_1(a1103) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_49]),c_0_52]) ).
cnf(c_0_415,negated_conjecture,
( epred28_0
| hskp18
| hskp6 ),
inference(spm,[status(thm)],[c_0_308,c_0_91]) ).
cnf(c_0_416,negated_conjecture,
( epred26_0
| ~ hskp31 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_60]),c_0_61]),c_0_62]) ).
cnf(c_0_417,negated_conjecture,
( epred19_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_92]),c_0_93]),c_0_160]) ).
cnf(c_0_418,negated_conjecture,
( epred17_0
| epred3_0
| hskp3
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_330,c_0_336]) ).
cnf(c_0_419,negated_conjecture,
( epred17_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_146]),c_0_338]),c_0_339]) ).
cnf(c_0_420,negated_conjecture,
( epred11_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_340]),c_0_341]),c_0_342]) ).
cnf(c_0_421,negated_conjecture,
( epred1_0
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_213]),c_0_333]),c_0_334]) ).
cnf(c_0_422,negated_conjecture,
( epred2_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_343]),c_0_212]),c_0_214]) ).
cnf(c_0_423,negated_conjecture,
( hskp15
| hskp14
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_7])]) ).
cnf(c_0_424,negated_conjecture,
( epred35_0
| epred2_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_345]),c_0_334]) ).
cnf(c_0_425,negated_conjecture,
( ~ epred43_0
| ~ epred30_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_346,c_0_144]),c_0_23]),c_0_25]) ).
cnf(c_0_426,negated_conjecture,
( ~ epred42_0
| ~ epred26_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_347,c_0_237]),c_0_105]),c_0_71]) ).
cnf(c_0_427,negated_conjecture,
( ~ epred40_0
| ~ epred39_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_348,c_0_6]),c_0_95]),c_0_246]) ).
cnf(c_0_428,negated_conjecture,
( ~ epred37_0
| ~ epred36_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_349,c_0_96]),c_0_198]),c_0_184]) ).
cnf(c_0_429,negated_conjecture,
( ~ epred34_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_350,c_0_106]),c_0_23]) ).
cnf(c_0_430,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_351,c_0_69]),c_0_107]) ).
cnf(c_0_431,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_352,c_0_149]),c_0_25]) ).
cnf(c_0_432,negated_conjecture,
( ~ epred28_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_353,c_0_94]),c_0_23]) ).
cnf(c_0_433,negated_conjecture,
( ~ epred22_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_354,c_0_70]),c_0_26]) ).
cnf(c_0_434,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_355,c_0_151]),c_0_253]) ).
cnf(c_0_435,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_356,c_0_129]),c_0_181]) ).
cnf(c_0_436,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_152]),c_0_130]) ).
cnf(c_0_437,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_131]),c_0_130]) ).
cnf(c_0_438,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_153]),c_0_184]) ).
cnf(c_0_439,negated_conjecture,
( ~ c1_1(a1125)
| ~ hskp25 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_440,negated_conjecture,
( ~ c2_1(a1114)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_441,negated_conjecture,
( ~ c1_1(a1114)
| ~ hskp20 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_442,negated_conjecture,
( ~ c1_1(a1098)
| ~ hskp15 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_443,negated_conjecture,
( ~ c1_1(a1084)
| ~ hskp4 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_444,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_280,c_0_403,c_0_136,c_0_404,c_0_315,c_0_66,c_0_405,c_0_406,c_0_67,c_0_189,c_0_227,c_0_223,c_0_407,c_0_408,c_0_409,c_0_410,c_0_411,c_0_329,c_0_248,c_0_412,c_0_413,c_0_219,c_0_295,c_0_414,c_0_415,c_0_308,c_0_416,c_0_417,c_0_418,c_0_419,c_0_119,c_0_420,c_0_421,c_0_244,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_323,c_0_427,c_0_428,c_0_305,c_0_429,c_0_430,c_0_431,c_0_432,c_0_313,c_0_165,c_0_433,c_0_434,c_0_88,c_0_435,c_0_436,c_0_437,c_0_438,c_0_197,c_0_439,c_0_440,c_0_441,c_0_50,c_0_214,c_0_212,c_0_442,c_0_183,c_0_10,c_0_13,c_0_55,c_0_37,c_0_39,c_0_194,c_0_443,c_0_40,c_0_21,c_0_100,c_0_207,c_0_54,c_0_93,c_0_180,c_0_92,c_0_195,c_0_103,c_0_79,c_0_16,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN458+1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:35:21 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 6.84/5.33 % Version : CSE_E---1.7
% 6.84/5.33 % Problem : theBenchmark.p
% 6.84/5.33 % SZS status Theorem for theBenchmark.p
% 6.84/5.33 % SZS output start CNFRefutation
% See solution above
% 6.84/5.35 % Total time : 4.372s
%------------------------------------------------------------------------------