%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN431+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:19:38 PM UTC 2026
% Result : CounterSatisfiable 0.19s 0.45s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( hskp16
| hskp15
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| c0_1(X10)
| c3_1(X10) ) )
| hskp14
| hskp28 )
& ( hskp27
| hskp13
| hskp3 )
& ( hskp12
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c2_1(X9)
| ~ c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) ) )
& ( hskp26
| hskp25
| hskp11 )
& ( hskp24
| hskp23
| hskp22 )
& ( hskp21
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| ~ c1_1(X7)
| c0_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| ~ c2_1(X6)
| c1_1(X6) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| ~ c3_1(X5)
| c1_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c1_1(X4)
| ~ c2_1(X4)
| c3_1(X4) ) ) )
& ( hskp10
| hskp9
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) )
| hskp20
| hskp19 )
& ( hskp8
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) )
| hskp7 )
& ( ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| ~ c2_1(Z)
| ~ c1_1(Z) ) )
| ! [Y] :
( ndr1_0
=> ( c2_1(Y)
| ~ c0_1(Y)
| ~ c1_1(Y) ) )
| ! [X] :
( ndr1_0
=> ( ~ c1_1(X)
| c2_1(X)
| c0_1(X) ) ) )
& ( hskp6
| hskp5
| hskp18 )
& ( ! [W] :
( ndr1_0
=> ( ~ c2_1(W)
| ~ c0_1(W)
| ~ c3_1(W) ) )
| hskp4
| hskp3 )
& ( hskp2
| hskp17
| ! [V] :
( ndr1_0
=> ( ~ c0_1(V)
| c1_1(V)
| ~ c3_1(V) ) ) )
& ( hskp1
| hskp0
| ! [U] :
( ndr1_0
=> ( c0_1(U)
| c2_1(U)
| ~ c3_1(U) ) ) )
& ( ( c2_1(a158)
& ~ c0_1(a158)
& c1_1(a158)
& ndr1_0 )
| ~ hskp28 )
& ( ( c2_1(a157)
& c3_1(a157)
& ~ c1_1(a157)
& ndr1_0 )
| ~ hskp27 )
& ( ( c1_1(a153)
& ~ c3_1(a153)
& ~ c0_1(a153)
& ndr1_0 )
| ~ hskp26 )
& ( ( c2_1(a152)
& ~ c0_1(a152)
& c3_1(a152)
& ndr1_0 )
| ~ hskp25 )
& ( ( c0_1(a150)
& c1_1(a150)
& ~ c2_1(a150)
& ndr1_0 )
| ~ hskp24 )
& ( ( c0_1(a149)
& c1_1(a149)
& ~ c3_1(a149)
& ndr1_0 )
| ~ hskp23 )
& ( ( c2_1(a148)
& c1_1(a148)
& ~ c3_1(a148)
& ndr1_0 )
| ~ hskp22 )
& ( ( c3_1(a147)
& ~ c0_1(a147)
& c2_1(a147)
& ndr1_0 )
| ~ hskp21 )
& ( ( c3_1(a144)
& c2_1(a144)
& ~ c0_1(a144)
& ndr1_0 )
| ~ hskp20 )
& ( ( c1_1(a143)
& c0_1(a143)
& c2_1(a143)
& ndr1_0 )
| ~ hskp19 )
& ( ( c3_1(a138)
& c0_1(a138)
& ~ c2_1(a138)
& ndr1_0 )
| ~ hskp18 )
& ( ( c0_1(a134)
& ~ c3_1(a134)
& c2_1(a134)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a161)
& c2_1(a161)
& c0_1(a161)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a160)
& ~ c2_1(a160)
& ~ c1_1(a160)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a159)
& c2_1(a159)
& c1_1(a159)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a156)
& c1_1(a156)
& ~ c3_1(a156)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a154)
& ~ c3_1(a154)
& ~ c2_1(a154)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a151)
& ~ c3_1(a151)
& c1_1(a151)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c1_1(a146)
& ~ c2_1(a146)
& c0_1(a146)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a145)
& ~ c0_1(a145)
& ~ c2_1(a145)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a142)
& c1_1(a142)
& c3_1(a142)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a141)
& c3_1(a141)
& c2_1(a141)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a140)
& c0_1(a140)
& c1_1(a140)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a139)
& c0_1(a139)
& c2_1(a139)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a137)
& c3_1(a137)
& c1_1(a137)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a136)
& ~ c0_1(a136)
& c2_1(a136)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a135)
& ~ c2_1(a135)
& c1_1(a135)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a133)
& ~ c1_1(a133)
& c2_1(a133)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a132)
& ~ c0_1(a132)
& ~ c1_1(a132)
& ndr1_0 )
| ~ hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( hskp16
| hskp15
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) ) ) )
& ( ! [X10] :
( ndr1_0
=> ( ~ c1_1(X10)
| c0_1(X10)
| c3_1(X10) ) )
| hskp14
| hskp28 )
& ( hskp27
| hskp13
| hskp3 )
& ( hskp12
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| c2_1(X9)
| ~ c1_1(X9) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) ) ) )
& ( hskp26
| hskp25
| hskp11 )
& ( hskp24
| hskp23
| hskp22 )
& ( hskp21
| ! [X7] :
( ndr1_0
=> ( c2_1(X7)
| ~ c1_1(X7)
| c0_1(X7) ) )
| ! [X6] :
( ndr1_0
=> ( c3_1(X6)
| ~ c2_1(X6)
| c1_1(X6) ) ) )
& ( ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| ~ c3_1(X5)
| c1_1(X5) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c1_1(X4)
| ~ c2_1(X4)
| c3_1(X4) ) ) )
& ( hskp10
| hskp9
| ! [X3] :
( ndr1_0
=> ( c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ) ) )
& ( ! [X2] :
( ndr1_0
=> ( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) )
| hskp20
| hskp19 )
& ( hskp8
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) )
| hskp7 )
& ( ! [Z] :
( ndr1_0
=> ( c0_1(Z)
| ~ c2_1(Z)
| ~ c1_1(Z) ) )
| ! [Y] :
( ndr1_0
=> ( c2_1(Y)
| ~ c0_1(Y)
| ~ c1_1(Y) ) )
| ! [X] :
( ndr1_0
=> ( ~ c1_1(X)
| c2_1(X)
| c0_1(X) ) ) )
& ( hskp6
| hskp5
| hskp18 )
& ( ! [W] :
( ndr1_0
=> ( ~ c2_1(W)
| ~ c0_1(W)
| ~ c3_1(W) ) )
| hskp4
| hskp3 )
& ( hskp2
| hskp17
| ! [V] :
( ndr1_0
=> ( ~ c0_1(V)
| c1_1(V)
| ~ c3_1(V) ) ) )
& ( hskp1
| hskp0
| ! [U] :
( ndr1_0
=> ( c0_1(U)
| c2_1(U)
| ~ c3_1(U) ) ) )
& ( ( c2_1(a158)
& ~ c0_1(a158)
& c1_1(a158)
& ndr1_0 )
| ~ hskp28 )
& ( ( c2_1(a157)
& c3_1(a157)
& ~ c1_1(a157)
& ndr1_0 )
| ~ hskp27 )
& ( ( c1_1(a153)
& ~ c3_1(a153)
& ~ c0_1(a153)
& ndr1_0 )
| ~ hskp26 )
& ( ( c2_1(a152)
& ~ c0_1(a152)
& c3_1(a152)
& ndr1_0 )
| ~ hskp25 )
& ( ( c0_1(a150)
& c1_1(a150)
& ~ c2_1(a150)
& ndr1_0 )
| ~ hskp24 )
& ( ( c0_1(a149)
& c1_1(a149)
& ~ c3_1(a149)
& ndr1_0 )
| ~ hskp23 )
& ( ( c2_1(a148)
& c1_1(a148)
& ~ c3_1(a148)
& ndr1_0 )
| ~ hskp22 )
& ( ( c3_1(a147)
& ~ c0_1(a147)
& c2_1(a147)
& ndr1_0 )
| ~ hskp21 )
& ( ( c3_1(a144)
& c2_1(a144)
& ~ c0_1(a144)
& ndr1_0 )
| ~ hskp20 )
& ( ( c1_1(a143)
& c0_1(a143)
& c2_1(a143)
& ndr1_0 )
| ~ hskp19 )
& ( ( c3_1(a138)
& c0_1(a138)
& ~ c2_1(a138)
& ndr1_0 )
| ~ hskp18 )
& ( ( c0_1(a134)
& ~ c3_1(a134)
& c2_1(a134)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a161)
& c2_1(a161)
& c0_1(a161)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a160)
& ~ c2_1(a160)
& ~ c1_1(a160)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a159)
& c2_1(a159)
& c1_1(a159)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a156)
& c1_1(a156)
& ~ c3_1(a156)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a154)
& ~ c3_1(a154)
& ~ c2_1(a154)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a151)
& ~ c3_1(a151)
& c1_1(a151)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c1_1(a146)
& ~ c2_1(a146)
& c0_1(a146)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a145)
& ~ c0_1(a145)
& ~ c2_1(a145)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a142)
& c1_1(a142)
& c3_1(a142)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a141)
& c3_1(a141)
& c2_1(a141)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a140)
& c0_1(a140)
& c1_1(a140)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a139)
& c0_1(a139)
& c2_1(a139)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a137)
& c3_1(a137)
& c1_1(a137)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a136)
& ~ c0_1(a136)
& c2_1(a136)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a135)
& ~ c2_1(a135)
& c1_1(a135)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a133)
& ~ c1_1(a133)
& c2_1(a133)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a132)
& ~ c0_1(a132)
& ~ c1_1(a132)
& ndr1_0 )
| ~ hskp0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( hskp16
| hskp15
| ! [X11] :
( c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11)
| ~ ndr1_0 ) )
& ( ! [X10] :
( ~ c1_1(X10)
| c0_1(X10)
| c3_1(X10)
| ~ ndr1_0 )
| hskp14
| hskp28 )
& ( hskp27
| hskp13
| hskp3 )
& ( hskp12
| ! [X9] :
( ~ c3_1(X9)
| c2_1(X9)
| ~ c1_1(X9)
| ~ ndr1_0 )
| ! [X8] :
( c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8)
| ~ ndr1_0 ) )
& ( hskp26
| hskp25
| hskp11 )
& ( hskp24
| hskp23
| hskp22 )
& ( hskp21
| ! [X7] :
( c2_1(X7)
| ~ c1_1(X7)
| c0_1(X7)
| ~ ndr1_0 )
| ! [X6] :
( c3_1(X6)
| ~ c2_1(X6)
| c1_1(X6)
| ~ ndr1_0 ) )
& ( ! [X5] :
( ~ c2_1(X5)
| ~ c3_1(X5)
| c1_1(X5)
| ~ ndr1_0 )
| ! [X4] :
( ~ c1_1(X4)
| ~ c2_1(X4)
| c3_1(X4)
| ~ ndr1_0 ) )
& ( hskp10
| hskp9
| ! [X3] :
( c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ ndr1_0 ) )
& ( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2)
| ~ ndr1_0 )
| hskp20
| hskp19 )
& ( hskp8
| ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 )
| hskp7 )
& ( ! [Z] :
( c0_1(Z)
| ~ c2_1(Z)
| ~ c1_1(Z)
| ~ ndr1_0 )
| ! [Y] :
( c2_1(Y)
| ~ c0_1(Y)
| ~ c1_1(Y)
| ~ ndr1_0 )
| ! [X] :
( ~ c1_1(X)
| c2_1(X)
| c0_1(X)
| ~ ndr1_0 ) )
& ( hskp6
| hskp5
| hskp18 )
& ( ! [W] :
( ~ c2_1(W)
| ~ c0_1(W)
| ~ c3_1(W)
| ~ ndr1_0 )
| hskp4
| hskp3 )
& ( hskp2
| hskp17
| ! [V] :
( ~ c0_1(V)
| c1_1(V)
| ~ c3_1(V)
| ~ ndr1_0 ) )
& ( hskp1
| hskp0
| ! [U] :
( c0_1(U)
| c2_1(U)
| ~ c3_1(U)
| ~ ndr1_0 ) )
& ( ( c2_1(a158)
& ~ c0_1(a158)
& c1_1(a158)
& ndr1_0 )
| ~ hskp28 )
& ( ( c2_1(a157)
& c3_1(a157)
& ~ c1_1(a157)
& ndr1_0 )
| ~ hskp27 )
& ( ( c1_1(a153)
& ~ c3_1(a153)
& ~ c0_1(a153)
& ndr1_0 )
| ~ hskp26 )
& ( ( c2_1(a152)
& ~ c0_1(a152)
& c3_1(a152)
& ndr1_0 )
| ~ hskp25 )
& ( ( c0_1(a150)
& c1_1(a150)
& ~ c2_1(a150)
& ndr1_0 )
| ~ hskp24 )
& ( ( c0_1(a149)
& c1_1(a149)
& ~ c3_1(a149)
& ndr1_0 )
| ~ hskp23 )
& ( ( c2_1(a148)
& c1_1(a148)
& ~ c3_1(a148)
& ndr1_0 )
| ~ hskp22 )
& ( ( c3_1(a147)
& ~ c0_1(a147)
& c2_1(a147)
& ndr1_0 )
| ~ hskp21 )
& ( ( c3_1(a144)
& c2_1(a144)
& ~ c0_1(a144)
& ndr1_0 )
| ~ hskp20 )
& ( ( c1_1(a143)
& c0_1(a143)
& c2_1(a143)
& ndr1_0 )
| ~ hskp19 )
& ( ( c3_1(a138)
& c0_1(a138)
& ~ c2_1(a138)
& ndr1_0 )
| ~ hskp18 )
& ( ( c0_1(a134)
& ~ c3_1(a134)
& c2_1(a134)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a161)
& c2_1(a161)
& c0_1(a161)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a160)
& ~ c2_1(a160)
& ~ c1_1(a160)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a159)
& c2_1(a159)
& c1_1(a159)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a156)
& c1_1(a156)
& ~ c3_1(a156)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a154)
& ~ c3_1(a154)
& ~ c2_1(a154)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a151)
& ~ c3_1(a151)
& c1_1(a151)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c1_1(a146)
& ~ c2_1(a146)
& c0_1(a146)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a145)
& ~ c0_1(a145)
& ~ c2_1(a145)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a142)
& c1_1(a142)
& c3_1(a142)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a141)
& c3_1(a141)
& c2_1(a141)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a140)
& c0_1(a140)
& c1_1(a140)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a139)
& c0_1(a139)
& c2_1(a139)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a137)
& c3_1(a137)
& c1_1(a137)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a136)
& ~ c0_1(a136)
& c2_1(a136)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a135)
& ~ c2_1(a135)
& c1_1(a135)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a133)
& ~ c1_1(a133)
& c2_1(a133)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a132)
& ~ c0_1(a132)
& ~ c1_1(a132)
& ndr1_0 )
| ~ hskp0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( hskp16
| hskp15
| ! [X11] :
( c0_1(X11)
| ~ c2_1(X11)
| ~ c3_1(X11) )
| ~ ndr1_0 )
& ( ! [X10] :
( ~ c1_1(X10)
| c0_1(X10)
| c3_1(X10) )
| ~ ndr1_0
| hskp14
| hskp28 )
& ( hskp27
| hskp13
| hskp3 )
& ( hskp12
| ! [X9] :
( ~ c3_1(X9)
| c2_1(X9)
| ~ c1_1(X9) )
| ~ ndr1_0
| ! [X8] :
( c3_1(X8)
| ~ c2_1(X8)
| ~ c0_1(X8) )
| ~ ndr1_0 )
& ( hskp26
| hskp25
| hskp11 )
& ( hskp24
| hskp23
| hskp22 )
& ( hskp21
| ! [X7] :
( c2_1(X7)
| ~ c1_1(X7)
| c0_1(X7) )
| ~ ndr1_0
| ! [X6] :
( c3_1(X6)
| ~ c2_1(X6)
| c1_1(X6) )
| ~ ndr1_0 )
& ( ! [X5] :
( ~ c2_1(X5)
| ~ c3_1(X5)
| c1_1(X5) )
| ~ ndr1_0
| ! [X4] :
( ~ c1_1(X4)
| ~ c2_1(X4)
| c3_1(X4) )
| ~ ndr1_0 )
& ( hskp10
| hskp9
| ! [X3] :
( c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) )
| ~ ndr1_0 )
& ( ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) )
| ~ ndr1_0
| hskp20
| hskp19 )
& ( hskp8
| ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) )
| ~ ndr1_0
| hskp7 )
& ( ! [Z] :
( c0_1(Z)
| ~ c2_1(Z)
| ~ c1_1(Z) )
| ~ ndr1_0
| ! [Y] :
( c2_1(Y)
| ~ c0_1(Y)
| ~ c1_1(Y) )
| ~ ndr1_0
| ! [X] :
( ~ c1_1(X)
| c2_1(X)
| c0_1(X) )
| ~ ndr1_0 )
& ( hskp6
| hskp5
| hskp18 )
& ( ! [W] :
( ~ c2_1(W)
| ~ c0_1(W)
| ~ c3_1(W) )
| ~ ndr1_0
| hskp4
| hskp3 )
& ( hskp2
| hskp17
| ! [V] :
( ~ c0_1(V)
| c1_1(V)
| ~ c3_1(V) )
| ~ ndr1_0 )
& ( hskp1
| hskp0
| ! [U] :
( c0_1(U)
| c2_1(U)
| ~ c3_1(U) )
| ~ ndr1_0 )
& ( ( c2_1(a158)
& ~ c0_1(a158)
& c1_1(a158)
& ndr1_0 )
| ~ hskp28 )
& ( ( c2_1(a157)
& c3_1(a157)
& ~ c1_1(a157)
& ndr1_0 )
| ~ hskp27 )
& ( ( c1_1(a153)
& ~ c3_1(a153)
& ~ c0_1(a153)
& ndr1_0 )
| ~ hskp26 )
& ( ( c2_1(a152)
& ~ c0_1(a152)
& c3_1(a152)
& ndr1_0 )
| ~ hskp25 )
& ( ( c0_1(a150)
& c1_1(a150)
& ~ c2_1(a150)
& ndr1_0 )
| ~ hskp24 )
& ( ( c0_1(a149)
& c1_1(a149)
& ~ c3_1(a149)
& ndr1_0 )
| ~ hskp23 )
& ( ( c2_1(a148)
& c1_1(a148)
& ~ c3_1(a148)
& ndr1_0 )
| ~ hskp22 )
& ( ( c3_1(a147)
& ~ c0_1(a147)
& c2_1(a147)
& ndr1_0 )
| ~ hskp21 )
& ( ( c3_1(a144)
& c2_1(a144)
& ~ c0_1(a144)
& ndr1_0 )
| ~ hskp20 )
& ( ( c1_1(a143)
& c0_1(a143)
& c2_1(a143)
& ndr1_0 )
| ~ hskp19 )
& ( ( c3_1(a138)
& c0_1(a138)
& ~ c2_1(a138)
& ndr1_0 )
| ~ hskp18 )
& ( ( c0_1(a134)
& ~ c3_1(a134)
& c2_1(a134)
& ndr1_0 )
| ~ hskp17 )
& ( ( ~ c1_1(a161)
& c2_1(a161)
& c0_1(a161)
& ndr1_0 )
| ~ hskp16 )
& ( ( ~ c3_1(a160)
& ~ c2_1(a160)
& ~ c1_1(a160)
& ndr1_0 )
| ~ hskp15 )
& ( ( ~ c3_1(a159)
& c2_1(a159)
& c1_1(a159)
& ndr1_0 )
| ~ hskp14 )
& ( ( ~ c0_1(a156)
& c1_1(a156)
& ~ c3_1(a156)
& ndr1_0 )
| ~ hskp13 )
& ( ( ~ c1_1(a154)
& ~ c3_1(a154)
& ~ c2_1(a154)
& ndr1_0 )
| ~ hskp12 )
& ( ( ~ c0_1(a151)
& ~ c3_1(a151)
& c1_1(a151)
& ndr1_0 )
| ~ hskp11 )
& ( ( ~ c1_1(a146)
& ~ c2_1(a146)
& c0_1(a146)
& ndr1_0 )
| ~ hskp10 )
& ( ( ~ c3_1(a145)
& ~ c0_1(a145)
& ~ c2_1(a145)
& ndr1_0 )
| ~ hskp9 )
& ( ( ~ c0_1(a142)
& c1_1(a142)
& c3_1(a142)
& ndr1_0 )
| ~ hskp8 )
& ( ( ~ c1_1(a141)
& c3_1(a141)
& c2_1(a141)
& ndr1_0 )
| ~ hskp7 )
& ( ( ~ c3_1(a140)
& c0_1(a140)
& c1_1(a140)
& ndr1_0 )
| ~ hskp6 )
& ( ( ~ c1_1(a139)
& c0_1(a139)
& c2_1(a139)
& ndr1_0 )
| ~ hskp5 )
& ( ( ~ c2_1(a137)
& c3_1(a137)
& c1_1(a137)
& ndr1_0 )
| ~ hskp4 )
& ( ( ~ c3_1(a136)
& ~ c0_1(a136)
& c2_1(a136)
& ndr1_0 )
| ~ hskp3 )
& ( ( ~ c0_1(a135)
& ~ c2_1(a135)
& c1_1(a135)
& ndr1_0 )
| ~ hskp2 )
& ( ( ~ c0_1(a133)
& ~ c1_1(a133)
& c2_1(a133)
& ndr1_0 )
| ~ hskp1 )
& ( ( ~ c3_1(a132)
& ~ c0_1(a132)
& ~ c1_1(a132)
& ndr1_0 )
| ~ hskp0 ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
( ~ c1_1(a132)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
( ~ c0_1(a132)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ c3_1(a132)
| ~ hskp0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( c2_1(a133)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( ~ c1_1(a133)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
( ~ c0_1(a133)
| ~ hskp1 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( c1_1(a135)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
( ~ c2_1(a135)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
( ~ c0_1(a135)
| ~ hskp2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
( c2_1(a136)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
( ~ c0_1(a136)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( ~ c3_1(a136)
| ~ hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
( c1_1(a137)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
( c3_1(a137)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
( ~ c2_1(a137)
| ~ hskp4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
( c2_1(a139)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
( c0_1(a139)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f28,plain,
( ~ c1_1(a139)
| ~ hskp5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f29,plain,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( c1_1(a140)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( c0_1(a140)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( ~ c3_1(a140)
| ~ hskp6 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
( c2_1(a141)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
( c3_1(a141)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
( ~ c1_1(a141)
| ~ hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f38,plain,
( c3_1(a142)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
( c1_1(a142)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
( ~ c0_1(a142)
| ~ hskp8 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f42,plain,
( ~ c2_1(a145)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,plain,
( ~ c0_1(a145)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f44,plain,
( ~ c3_1(a145)
| ~ hskp9 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f45,plain,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
( c0_1(a146)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
( ~ c2_1(a146)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( ~ c1_1(a146)
| ~ hskp10 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
( c1_1(a151)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
( ~ c3_1(a151)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f52,plain,
( ~ c0_1(a151)
| ~ hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
( ndr1_0
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f54,plain,
( ~ c2_1(a154)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f55,plain,
( ~ c3_1(a154)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
( ~ c1_1(a154)
| ~ hskp12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f58,plain,
( ~ c3_1(a156)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
( c1_1(a156)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
( ~ c0_1(a156)
| ~ hskp13 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
( ndr1_0
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f62,plain,
( c1_1(a159)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f63,plain,
( c2_1(a159)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
( ~ c3_1(a159)
| ~ hskp14 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f65,plain,
( ndr1_0
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
( ~ c1_1(a160)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f67,plain,
( ~ c2_1(a160)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
( ~ c3_1(a160)
| ~ hskp15 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f69,plain,
( ndr1_0
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f70,plain,
( c0_1(a161)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f71,plain,
( c2_1(a161)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f72,plain,
( ~ c1_1(a161)
| ~ hskp16 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
( ndr1_0
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f74,plain,
( c2_1(a134)
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f75,plain,
( ~ c3_1(a134)
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
( c0_1(a134)
| ~ hskp17 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f77,plain,
( ndr1_0
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
( ~ c2_1(a138)
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f79,plain,
( c0_1(a138)
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f80,plain,
( c3_1(a138)
| ~ hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f81,plain,
( ndr1_0
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f82,plain,
( c2_1(a143)
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f83,plain,
( c0_1(a143)
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f84,plain,
( c1_1(a143)
| ~ hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( ndr1_0
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( ~ c0_1(a144)
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( c2_1(a144)
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( c3_1(a144)
| ~ hskp20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( ndr1_0
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( c2_1(a147)
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
( ~ c0_1(a147)
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( c3_1(a147)
| ~ hskp21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( ndr1_0
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( ~ c3_1(a148)
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( c1_1(a148)
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( c2_1(a148)
| ~ hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( ndr1_0
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( ~ c3_1(a149)
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( c1_1(a149)
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( c0_1(a149)
| ~ hskp23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( ~ c2_1(a150)
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( c1_1(a150)
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( c0_1(a150)
| ~ hskp24 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( ndr1_0
| ~ hskp25 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( c3_1(a152)
| ~ hskp25 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
( ~ c0_1(a152)
| ~ hskp25 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( c2_1(a152)
| ~ hskp25 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
( ndr1_0
| ~ hskp26 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( ~ c0_1(a153)
| ~ hskp26 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
( ~ c3_1(a153)
| ~ hskp26 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( c1_1(a153)
| ~ hskp26 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
( ndr1_0
| ~ hskp27 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( ~ c1_1(a157)
| ~ hskp27 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( c3_1(a157)
| ~ hskp27 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
( c2_1(a157)
| ~ hskp27 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
( ndr1_0
| ~ hskp28 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
( c1_1(a158)
| ~ hskp28 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
( ~ c0_1(a158)
| ~ hskp28 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
( c2_1(a158)
| ~ hskp28 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
! [X0] :
( hskp1
| hskp0
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f122,plain,
! [X0] :
( hskp2
| hskp17
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| hskp4
| hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f124,plain,
( hskp6
| hskp5
| hskp18 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
! [X0,X1,X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
! [X0] :
( hskp8
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| hskp7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| hskp20
| hskp19 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
! [X0] :
( hskp10
| hskp9
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
! [X0,X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
! [X0,X1] :
( hskp21
| c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
( hskp24
| hskp23
| hskp22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,plain,
( hskp26
| hskp25
| hskp11 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f133,plain,
! [X0,X1] :
( hskp12
| ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
( hskp27
| hskp13
| hskp3 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f135,plain,
! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0)
| ~ ndr1_0
| hskp14
| hskp28 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f136,plain,
! [X0] :
( hskp16
| hskp15
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f137,definition,
( sQ0_spl
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ0_spl
| hskp0 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f137,f140]) ).
fof(f144,definition,
( sQ2_spl
<=> c1_1(a132) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( sQ2_spl
| ~ c1_1(a132) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f137,f144]) ).
fof(f148,definition,
( sQ3_spl
<=> c0_1(a132) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ3_spl
| ~ c0_1(a132) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f137,f148]) ).
fof(f152,definition,
( sQ4_spl
<=> c3_1(a132) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ4_spl
| ~ c3_1(a132) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f137,f152]) ).
fof(f156,definition,
( sQ5_spl
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ5_spl
| ~ hskp1 ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( sQ1_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9,f156,f140]) ).
fof(f160,definition,
( sQ6_spl
<=> c2_1(a133) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ6_spl
| c2_1(a133) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ6_spl
| ~ c2_1(a133) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f10,f156,f160]) ).
fof(f164,definition,
( sQ7_spl
<=> c1_1(a133) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ7_spl
| c1_1(a133) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ7_spl
| ~ c1_1(a133) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11,f156,f164]) ).
fof(f168,definition,
( sQ8_spl
<=> c0_1(a133) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ8_spl
| ~ c0_1(a133) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12,f156,f168]) ).
fof(f172,definition,
( sQ9_spl
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ9_spl
| hskp2 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f13,f172,f140]) ).
fof(f176,definition,
( sQ10_spl
<=> c1_1(a135) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ10_spl
| c1_1(a135) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f14,f172,f176]) ).
fof(f180,definition,
( sQ11_spl
<=> c2_1(a135) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ11_spl
| ~ c2_1(a135) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f172,f180]) ).
fof(f184,definition,
( sQ12_spl
<=> c0_1(a135) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( sQ12_spl
| ~ c0_1(a135) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,plain,
( ~ sQ12_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f16,f172,f184]) ).
fof(f188,definition,
( sQ13_spl
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ13_spl
| hskp3 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ13_spl
| ~ hskp3 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f17,f188,f140]) ).
fof(f192,definition,
( sQ14_spl
<=> c2_1(a136) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ14_spl
| c2_1(a136) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f18,f188,f192]) ).
fof(f196,definition,
( sQ15_spl
<=> c0_1(a136) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( sQ15_spl
| ~ c0_1(a136) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f19,f188,f196]) ).
fof(f200,definition,
( sQ16_spl
<=> c3_1(a136) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ16_spl
| ~ c3_1(a136) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f20,f188,f200]) ).
fof(f204,definition,
( sQ17_spl
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ17_spl
| hskp4 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ17_spl
| ~ hskp4 ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f21,f204,f140]) ).
fof(f208,definition,
( sQ18_spl
<=> c1_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ18_spl
| c1_1(a137) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f22,f204,f208]) ).
fof(f212,definition,
( sQ19_spl
<=> c3_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ19_spl
| c3_1(a137) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ19_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f23,f204,f212]) ).
fof(f216,definition,
( sQ20_spl
<=> c2_1(a137) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( sQ20_spl
| ~ c2_1(a137) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f24,f204,f216]) ).
fof(f220,definition,
( sQ21_spl
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ21_spl
| hskp5 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ1_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f25,f220,f140]) ).
fof(f224,definition,
( sQ22_spl
<=> c2_1(a139) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ22_spl
| c2_1(a139) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ22_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f26,f220,f224]) ).
fof(f228,definition,
( sQ23_spl
<=> c0_1(a139) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ23_spl
| c0_1(a139) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f27,f220,f228]) ).
fof(f232,definition,
( sQ24_spl
<=> c1_1(a139) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ24_spl
| ~ c1_1(a139) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( ~ sQ24_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f28,f220,f232]) ).
fof(f236,definition,
( sQ25_spl
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ25_spl
| ~ hskp6 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ1_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f29,f236,f140]) ).
fof(f240,definition,
( sQ26_spl
<=> c1_1(a140) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ26_spl
| c1_1(a140) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ26_spl
| ~ c1_1(a140) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f30,f236,f240]) ).
fof(f244,definition,
( sQ27_spl
<=> c0_1(a140) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ27_spl
| c0_1(a140) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ27_spl
| ~ c0_1(a140) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ27_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f31,f236,f244]) ).
fof(f248,definition,
( sQ28_spl
<=> c3_1(a140) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( sQ28_spl
| ~ c3_1(a140) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( ~ sQ28_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f32,f236,f248]) ).
fof(f252,definition,
( sQ29_spl
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ29_spl
| hskp7 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ29_spl
| ~ hskp7 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f33,f252,f140]) ).
fof(f256,definition,
( sQ30_spl
<=> c2_1(a141) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ30_spl
| c2_1(a141) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ30_spl
| ~ c2_1(a141) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f34,f252,f256]) ).
fof(f260,definition,
( sQ31_spl
<=> c3_1(a141) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ31_spl
| c3_1(a141) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ31_spl
| ~ c3_1(a141) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f35,f252,f260]) ).
fof(f264,definition,
( sQ32_spl
<=> c1_1(a141) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ32_spl
| c1_1(a141) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ32_spl
| ~ c1_1(a141) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ32_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f36,f252,f264]) ).
fof(f268,definition,
( sQ33_spl
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ33_spl
| hskp8 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ33_spl
| ~ hskp8 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f37,f268,f140]) ).
fof(f272,definition,
( sQ34_spl
<=> c3_1(a142) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ34_spl
| c3_1(a142) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f38,f268,f272]) ).
fof(f276,definition,
( sQ35_spl
<=> c1_1(a142) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ35_spl
| c1_1(a142) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ35_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f39,f268,f276]) ).
fof(f280,definition,
( sQ36_spl
<=> c0_1(a142) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( sQ36_spl
| ~ c0_1(a142) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f40,f268,f280]) ).
fof(f284,definition,
( sQ37_spl
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ37_spl
| hskp9 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ37_spl
| ~ hskp9 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f41,f284,f140]) ).
fof(f288,definition,
( sQ38_spl
<=> c2_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( sQ38_spl
| ~ c2_1(a145) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f42,f284,f288]) ).
fof(f292,definition,
( sQ39_spl
<=> c0_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ39_spl
| ~ c0_1(a145) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f43,f284,f292]) ).
fof(f296,definition,
( sQ40_spl
<=> c3_1(a145) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( sQ40_spl
| ~ c3_1(a145) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( ~ sQ40_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f44,f284,f296]) ).
fof(f300,definition,
( sQ41_spl
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ41_spl
| ~ hskp10 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ1_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f45,f300,f140]) ).
fof(f304,definition,
( sQ42_spl
<=> c0_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ42_spl
| c0_1(a146) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ42_spl
| ~ c0_1(a146) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f46,f300,f304]) ).
fof(f308,definition,
( sQ43_spl
<=> c2_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ43_spl
| c2_1(a146) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ43_spl
| ~ c2_1(a146) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f47,f300,f308]) ).
fof(f312,definition,
( sQ44_spl
<=> c1_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ44_spl
| ~ c1_1(a146) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ44_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f48,f300,f312]) ).
fof(f316,definition,
( sQ45_spl
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ45_spl
| hskp11 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ45_spl
| ~ hskp11 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ1_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f49,f316,f140]) ).
fof(f320,definition,
( sQ46_spl
<=> c1_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ46_spl
| c1_1(a151) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ46_spl
| ~ c1_1(a151) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f50,f316,f320]) ).
fof(f324,definition,
( sQ47_spl
<=> c3_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ47_spl
| ~ c3_1(a151) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f51,f316,f324]) ).
fof(f328,definition,
( sQ48_spl
<=> c0_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ48_spl
| c0_1(a151) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ48_spl
| ~ c0_1(a151) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( ~ sQ48_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f52,f316,f328]) ).
fof(f332,definition,
( sQ49_spl
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ49_spl
| hskp12 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( sQ49_spl
| ~ hskp12 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f53,f332,f140]) ).
fof(f336,definition,
( sQ50_spl
<=> c2_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ50_spl
| ~ c2_1(a154) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f54,f332,f336]) ).
fof(f340,definition,
( sQ51_spl
<=> c3_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ51_spl
| ~ c3_1(a154) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f55,f332,f340]) ).
fof(f344,definition,
( sQ52_spl
<=> c1_1(a154) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( sQ52_spl
| ~ c1_1(a154) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( ~ sQ52_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f56,f332,f344]) ).
fof(f348,definition,
( sQ53_spl
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ53_spl
| hskp13 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ53_spl
| ~ hskp13 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ1_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f57,f348,f140]) ).
fof(f352,definition,
( sQ54_spl
<=> c3_1(a156) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ54_spl
| ~ c3_1(a156) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f58,f348,f352]) ).
fof(f356,definition,
( sQ55_spl
<=> c1_1(a156) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ55_spl
| c1_1(a156) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ55_spl
| ~ c1_1(a156) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ55_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f59,f348,f356]) ).
fof(f360,definition,
( sQ56_spl
<=> c0_1(a156) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ56_spl
| c0_1(a156) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ56_spl
| ~ c0_1(a156) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( ~ sQ56_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f60,f348,f360]) ).
fof(f364,definition,
( sQ57_spl
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ57_spl
| hskp14 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ57_spl
| ~ hskp14 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( sQ1_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f61,f364,f140]) ).
fof(f368,definition,
( sQ58_spl
<=> c1_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ58_spl
| c1_1(a159) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ58_spl
| ~ c1_1(a159) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ58_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f62,f364,f368]) ).
fof(f372,definition,
( sQ59_spl
<=> c2_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ59_spl
| c2_1(a159) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( sQ59_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f63,f364,f372]) ).
fof(f376,definition,
( sQ60_spl
<=> c3_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ60_spl
| c3_1(a159) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ60_spl
| ~ c3_1(a159) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( ~ sQ60_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f64,f364,f376]) ).
fof(f380,definition,
( sQ61_spl
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ61_spl
| hskp15 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ1_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f65,f380,f140]) ).
fof(f384,definition,
( sQ62_spl
<=> c1_1(a160) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ62_spl
| ~ c1_1(a160) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f66,f380,f384]) ).
fof(f388,definition,
( sQ63_spl
<=> c2_1(a160) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ63_spl
| ~ c2_1(a160) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f67,f380,f388]) ).
fof(f392,definition,
( sQ64_spl
<=> c3_1(a160) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( sQ64_spl
| ~ c3_1(a160) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( ~ sQ64_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f68,f380,f392]) ).
fof(f396,definition,
( sQ65_spl
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( sQ65_spl
| ~ hskp16 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ1_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f69,f396,f140]) ).
fof(f400,definition,
( sQ66_spl
<=> c0_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ66_spl
| c0_1(a161) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ66_spl
| ~ c0_1(a161) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f70,f396,f400]) ).
fof(f404,definition,
( sQ67_spl
<=> c2_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ67_spl
| c2_1(a161) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f71,f396,f404]) ).
fof(f408,definition,
( sQ68_spl
<=> c1_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ68_spl
| ~ c1_1(a161) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( ~ sQ68_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f72,f396,f408]) ).
fof(f412,definition,
( sQ69_spl
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ69_spl
| ~ hskp17 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ1_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f73,f412,f140]) ).
fof(f416,definition,
( sQ70_spl
<=> c2_1(a134) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ70_spl
| c2_1(a134) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f74,f412,f416]) ).
fof(f420,definition,
( sQ71_spl
<=> c3_1(a134) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ71_spl
| ~ c3_1(a134) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( ~ sQ71_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f75,f412,f420]) ).
fof(f424,definition,
( sQ72_spl
<=> c0_1(a134) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ72_spl
| c0_1(a134) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ72_spl
| ~ c0_1(a134) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( sQ72_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f76,f412,f424]) ).
fof(f428,definition,
( sQ73_spl
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ73_spl
| ~ hskp18 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ1_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f77,f428,f140]) ).
fof(f432,definition,
( sQ74_spl
<=> c2_1(a138) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ74_spl
| c2_1(a138) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ74_spl
| ~ c2_1(a138) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( ~ sQ74_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f78,f428,f432]) ).
fof(f436,definition,
( sQ75_spl
<=> c0_1(a138) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ75_spl
| c0_1(a138) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ75_spl
| ~ c0_1(a138) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( sQ75_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f79,f428,f436]) ).
fof(f440,definition,
( sQ76_spl
<=> c3_1(a138) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ76_spl
| c3_1(a138) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ76_spl
| ~ c3_1(a138) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ76_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f80,f428,f440]) ).
fof(f444,definition,
( sQ77_spl
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ77_spl
| hskp19 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( sQ1_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f81,f444,f140]) ).
fof(f448,definition,
( sQ78_spl
<=> c2_1(a143) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ78_spl
| c2_1(a143) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f82,f444,f448]) ).
fof(f452,definition,
( sQ79_spl
<=> c0_1(a143) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ79_spl
| c0_1(a143) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ79_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f83,f444,f452]) ).
fof(f456,definition,
( sQ80_spl
<=> c1_1(a143) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ80_spl
| c1_1(a143) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ80_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f84,f444,f456]) ).
fof(f460,definition,
( sQ81_spl
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ81_spl
| ~ hskp20 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ1_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f85,f460,f140]) ).
fof(f464,definition,
( sQ82_spl
<=> c0_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ82_spl
| ~ c0_1(a144) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f86,f460,f464]) ).
fof(f468,definition,
( sQ83_spl
<=> c2_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ83_spl
| c2_1(a144) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ83_spl
| ~ c2_1(a144) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ83_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f87,f460,f468]) ).
fof(f472,definition,
( sQ84_spl
<=> c3_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ84_spl
| c3_1(a144) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f474,plain,
( sQ84_spl
| ~ c3_1(a144) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ84_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f88,f460,f472]) ).
fof(f476,definition,
( sQ85_spl
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ85_spl
| hskp21 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ85_spl
| ~ hskp21 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ1_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f89,f476,f140]) ).
fof(f480,definition,
( sQ86_spl
<=> c2_1(a147) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ86_spl
| c2_1(a147) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ86_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f90,f476,f480]) ).
fof(f484,definition,
( sQ87_spl
<=> c0_1(a147) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ87_spl
| ~ c0_1(a147) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( ~ sQ87_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f91,f476,f484]) ).
fof(f488,definition,
( sQ88_spl
<=> c3_1(a147) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ88_spl
| c3_1(a147) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ88_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f92,f476,f488]) ).
fof(f492,definition,
( sQ89_spl
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ89_spl
| hskp22 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ89_spl
| ~ hskp22 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ1_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f93,f492,f140]) ).
fof(f496,definition,
( sQ90_spl
<=> c3_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ90_spl
| c3_1(a148) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ90_spl
| ~ c3_1(a148) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f94,f492,f496]) ).
fof(f500,definition,
( sQ91_spl
<=> c1_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ91_spl
| c1_1(a148) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ91_spl
| ~ c1_1(a148) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( sQ91_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f95,f492,f500]) ).
fof(f504,definition,
( sQ92_spl
<=> c2_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ92_spl
| c2_1(a148) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ92_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f96,f492,f504]) ).
fof(f508,definition,
( sQ93_spl
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ93_spl
| hskp23 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ93_spl
| ~ hskp23 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ1_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f97,f508,f140]) ).
fof(f512,definition,
( sQ94_spl
<=> c3_1(a149) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ94_spl
| ~ c3_1(a149) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f98,f508,f512]) ).
fof(f516,definition,
( sQ95_spl
<=> c1_1(a149) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ95_spl
| c1_1(a149) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ95_spl
| ~ c1_1(a149) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( sQ95_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f99,f508,f516]) ).
fof(f520,definition,
( sQ96_spl
<=> c0_1(a149) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ96_spl
| c0_1(a149) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ96_spl
| ~ c0_1(a149) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( sQ96_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f100,f508,f520]) ).
fof(f524,definition,
( sQ97_spl
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( sQ97_spl
| ~ hskp24 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ1_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f101,f524,f140]) ).
fof(f528,definition,
( sQ98_spl
<=> c2_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ98_spl
| ~ c2_1(a150) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ98_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f524,f528]) ).
fof(f532,definition,
( sQ99_spl
<=> c1_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ99_spl
| c1_1(a150) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ99_spl
| ~ c1_1(a150) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ99_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f103,f524,f532]) ).
fof(f536,definition,
( sQ100_spl
<=> c0_1(a150) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ100_spl
| c0_1(a150) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( sQ100_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f104,f524,f536]) ).
fof(f540,definition,
( sQ101_spl
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ101_spl
| hskp25 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f542,plain,
( sQ101_spl
| ~ hskp25 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( sQ1_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f105,f540,f140]) ).
fof(f544,definition,
( sQ102_spl
<=> c3_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ102_spl
| c3_1(a152) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( sQ102_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f106,f540,f544]) ).
fof(f548,definition,
( sQ103_spl
<=> c0_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( sQ103_spl
| ~ c0_1(a152) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( ~ sQ103_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f107,f540,f548]) ).
fof(f552,definition,
( sQ104_spl
<=> c2_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ104_spl
| c2_1(a152) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( sQ104_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f108,f540,f552]) ).
fof(f556,definition,
( sQ105_spl
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( sQ105_spl
| ~ hskp26 ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( sQ1_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f109,f556,f140]) ).
fof(f560,definition,
( sQ106_spl
<=> c0_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ106_spl
| ~ c0_1(a153) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f110,f556,f560]) ).
fof(f564,definition,
( sQ107_spl
<=> c3_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ107_spl
| ~ c3_1(a153) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ107_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f111,f556,f564]) ).
fof(f568,definition,
( sQ108_spl
<=> c1_1(a153) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ108_spl
| c1_1(a153) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( sQ108_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f112,f556,f568]) ).
fof(f572,definition,
( sQ109_spl
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( sQ109_spl
| ~ hskp27 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( sQ1_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f113,f572,f140]) ).
fof(f576,definition,
( sQ110_spl
<=> c1_1(a157) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ110_spl
| ~ c1_1(a157) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( ~ sQ110_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f114,f572,f576]) ).
fof(f580,definition,
( sQ111_spl
<=> c3_1(a157) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ111_spl
| c3_1(a157) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( sQ111_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f115,f572,f580]) ).
fof(f584,definition,
( sQ112_spl
<=> c2_1(a157) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ112_spl
| c2_1(a157) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ112_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f116,f572,f584]) ).
fof(f588,definition,
( sQ113_spl
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( sQ113_spl
| ~ hskp28 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( sQ1_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f117,f588,f140]) ).
fof(f592,definition,
( sQ114_spl
<=> c1_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ114_spl
| c1_1(a158) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( sQ114_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f118,f588,f592]) ).
fof(f596,definition,
( sQ115_spl
<=> c0_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( sQ115_spl
| ~ c0_1(a158) ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,plain,
( ~ sQ115_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f119,f588,f596]) ).
fof(f600,definition,
( sQ116_spl
<=> c2_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ116_spl
| c2_1(a158) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( sQ116_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f120,f588,f600]) ).
fof(f604,definition,
! [X0] :
( sQ117_spl
<=> ( c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f605,plain,
! [X0] :
( ~ sQ117_spl
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( sQ5_spl
| sQ0_spl
| sQ117_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f121,f140,f604,f137,f156]) ).
fof(f608,definition,
! [X0] :
( sQ118_spl
<=> ( ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f609,plain,
! [X0] :
( ~ sQ118_spl
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,plain,
( sQ9_spl
| sQ69_spl
| sQ118_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f122,f140,f608,f412,f172]) ).
fof(f612,definition,
! [X0] :
( sQ119_spl
<=> ( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f613,plain,
! [X0] :
( ~ sQ119_spl
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( sQ119_spl
| ~ sQ1_spl
| sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f123,f188,f204,f140,f612]) ).
fof(f616,plain,
( sQ25_spl
| sQ21_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f124,f428,f220,f236]) ).
fof(f617,definition,
! [X0] :
( sQ120_spl
<=> ( ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f618,plain,
! [X0] :
( ~ sQ120_spl
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
! [X1] :
( sQ121_spl
<=> ( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f621,plain,
! [X0] :
( ~ sQ121_spl
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
! [X2] :
( sQ122_spl
<=> ( c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f624,plain,
! [X0] :
( ~ sQ122_spl
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( sQ122_spl
| sQ121_spl
| sQ120_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f125,f140,f617,f620,f623]) ).
fof(f627,definition,
! [X0] :
( sQ123_spl
<=> ( c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f628,plain,
! [X0] :
( ~ sQ123_spl
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ33_spl
| sQ123_spl
| ~ sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f126,f252,f140,f627,f268]) ).
fof(f631,definition,
! [X0] :
( sQ124_spl
<=> ( c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f632,plain,
! [X0] :
( ~ sQ124_spl
| c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( sQ124_spl
| ~ sQ1_spl
| sQ81_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f127,f444,f460,f140,f631]) ).
fof(f635,plain,
( sQ41_spl
| sQ37_spl
| sQ123_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f128,f140,f627,f284,f300]) ).
fof(f636,definition,
! [X1] :
( sQ125_spl
<=> ( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f637,plain,
! [X0] :
( ~ sQ125_spl
| ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( sQ125_spl
| sQ123_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f129,f140,f627,f636]) ).
fof(f640,definition,
! [X0] :
( sQ126_spl
<=> ( c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f641,plain,
! [X0] :
( ~ sQ126_spl
| c3_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( sQ85_spl
| sQ120_spl
| sQ126_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f130,f140,f640,f617,f476]) ).
fof(f644,plain,
( sQ97_spl
| sQ93_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f131,f492,f508,f524]) ).
fof(f645,plain,
( sQ105_spl
| sQ101_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f132,f316,f540,f556]) ).
fof(f646,definition,
! [X0] :
( sQ127_spl
<=> ( c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f647,plain,
! [X0] :
( ~ sQ127_spl
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
! [X1] :
( sQ128_spl
<=> ( ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f650,plain,
! [X0] :
( ~ sQ128_spl
| ~ c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( sQ49_spl
| sQ128_spl
| sQ127_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f133,f140,f646,f649,f332]) ).
fof(f653,plain,
( sQ109_spl
| sQ53_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f134,f188,f348,f572]) ).
fof(f654,definition,
! [X0] :
( sQ129_spl
<=> ( ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f655,plain,
! [X0] :
( ~ sQ129_spl
| ~ c1_1(X0)
| c0_1(X0)
| c3_1(X0) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( sQ129_spl
| ~ sQ1_spl
| sQ57_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f135,f588,f364,f140,f654]) ).
fof(f658,definition,
! [X0] :
( sQ130_spl
<=> ( c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f659,plain,
! [X0] :
( ~ sQ130_spl
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( sQ65_spl
| sQ61_spl
| sQ130_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f136,f140,f658,f380,f396]) ).
fof(f662,plain,
( ~ sQ123_spl
| ~ sQ59_spl
| c3_1(a159)
| ~ c1_1(a159) ),
inference(resolution,[status(thm)],[f373,f628]) ).
fof(f663,plain,
( ~ sQ123_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f662,f368,f376,f372,f627]) ).
fof(f664,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ123_spl
| c3_1(X0)
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f628]) ).
fof(f665,plain,
( ~ sQ123_spl
| ~ sQ92_spl
| c3_1(a148)
| ~ c1_1(a148) ),
inference(resolution,[status(thm)],[f505,f628]) ).
fof(f666,plain,
( ~ sQ123_spl
| ~ sQ92_spl
| sQ90_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f665,f500,f496,f504,f627]) ).
fof(f667,plain,
( ~ sQ91_spl
| ~ sQ120_spl
| c2_1(a148)
| c0_1(a148) ),
inference(resolution,[status(thm)],[f618,f501]) ).
fof(f668,plain,
( ~ sQ46_spl
| ~ sQ120_spl
| c2_1(a151)
| c0_1(a151) ),
inference(resolution,[status(thm)],[f618,f321]) ).
fof(f669,plain,
( ~ sQ58_spl
| ~ sQ120_spl
| c2_1(a159)
| c0_1(a159) ),
inference(resolution,[status(thm)],[f618,f369]) ).
fof(f670,plain,
( ~ sQ55_spl
| ~ sQ120_spl
| c2_1(a156)
| c0_1(a156) ),
inference(resolution,[status(thm)],[f618,f357]) ).
fof(f671,definition,
( sQ131_spl
<=> c0_1(a148) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ131_spl
| c0_1(a148) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( ~ sQ91_spl
| ~ sQ120_spl
| sQ92_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f667,f671,f504,f617,f500]) ).
fof(f675,definition,
( sQ132_spl
<=> c2_1(a151) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f676,plain,
( ~ sQ132_spl
| c2_1(a151) ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( ~ sQ46_spl
| ~ sQ120_spl
| sQ132_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f668,f328,f675,f617,f320]) ).
fof(f679,definition,
( sQ133_spl
<=> c0_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ133_spl
| c0_1(a159) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,plain,
( ~ sQ58_spl
| ~ sQ120_spl
| sQ59_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f669,f679,f372,f617,f368]) ).
fof(f683,definition,
( sQ134_spl
<=> c2_1(a156) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ134_spl
| c2_1(a156) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( ~ sQ55_spl
| ~ sQ120_spl
| sQ134_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f670,f360,f683,f617,f356]) ).
fof(f687,plain,
( ~ sQ46_spl
| ~ sQ129_spl
| c0_1(a151)
| c3_1(a151) ),
inference(resolution,[status(thm)],[f655,f321]) ).
fof(f688,plain,
( ~ sQ55_spl
| ~ sQ129_spl
| c0_1(a156)
| c3_1(a156) ),
inference(resolution,[status(thm)],[f655,f357]) ).
fof(f689,plain,
( ~ sQ46_spl
| ~ sQ129_spl
| sQ48_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f687,f324,f328,f654,f320]) ).
fof(f690,plain,
( ~ sQ55_spl
| ~ sQ129_spl
| sQ56_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f688,f352,f360,f654,f356]) ).
fof(f691,plain,
( ~ sQ92_spl
| ~ sQ124_spl
| c0_1(a148)
| c1_1(a148) ),
inference(resolution,[status(thm)],[f632,f505]) ).
fof(f692,plain,
( ~ sQ92_spl
| ~ sQ124_spl
| sQ131_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f691,f500,f671,f631,f504]) ).
fof(f693,plain,
( ~ sQ123_spl
| ~ sQ78_spl
| c3_1(a143)
| ~ c1_1(a143) ),
inference(resolution,[status(thm)],[f449,f628]) ).
fof(f694,definition,
( sQ135_spl
<=> c3_1(a143) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( ~ sQ135_spl
| c3_1(a143) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f696,plain,
( sQ135_spl
| ~ c3_1(a143) ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( ~ sQ123_spl
| ~ sQ78_spl
| sQ135_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f693,f456,f694,f448,f627]) ).
fof(f698,plain,
( ~ sQ22_spl
| ~ sQ127_spl
| c3_1(a139)
| ~ c0_1(a139) ),
inference(resolution,[status(thm)],[f647,f225]) ).
fof(f699,plain,
( ~ sQ78_spl
| ~ sQ127_spl
| c3_1(a143)
| ~ c0_1(a143) ),
inference(resolution,[status(thm)],[f647,f449]) ).
fof(f700,definition,
( sQ136_spl
<=> c3_1(a139) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ136_spl
| c3_1(a139) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ136_spl
| ~ c3_1(a139) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ22_spl
| ~ sQ127_spl
| sQ136_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f698,f228,f700,f646,f224]) ).
fof(f704,plain,
( ~ sQ78_spl
| ~ sQ127_spl
| sQ135_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f699,f452,f694,f646,f448]) ).
fof(f705,plain,
( ~ sQ22_spl
| ~ sQ125_spl
| ~ c3_1(a139)
| c1_1(a139) ),
inference(resolution,[status(thm)],[f637,f225]) ).
fof(f706,plain,
( ~ sQ78_spl
| ~ sQ125_spl
| ~ c3_1(a143)
| c1_1(a143) ),
inference(resolution,[status(thm)],[f637,f449]) ).
fof(f707,plain,
( ~ sQ22_spl
| ~ sQ125_spl
| ~ sQ136_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f705,f232,f700,f636,f224]) ).
fof(f708,plain,
( ~ sQ78_spl
| ~ sQ125_spl
| ~ sQ135_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f706,f456,f694,f636,f448]) ).
fof(f709,plain,
( ~ sQ23_spl
| ~ sQ121_spl
| c2_1(a139)
| ~ c1_1(a139) ),
inference(resolution,[status(thm)],[f621,f229]) ).
fof(f710,plain,
( ~ sQ79_spl
| ~ sQ121_spl
| c2_1(a143)
| ~ c1_1(a143) ),
inference(resolution,[status(thm)],[f621,f453]) ).
fof(f711,plain,
( ~ sQ23_spl
| ~ sQ121_spl
| sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f709,f232,f224,f620,f228]) ).
fof(f712,plain,
( ~ sQ79_spl
| ~ sQ121_spl
| sQ78_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f710,f456,f448,f620,f452]) ).
fof(f713,plain,
( ~ sQ125_spl
| ~ sQ86_spl
| ~ c3_1(a147)
| c1_1(a147) ),
inference(resolution,[status(thm)],[f481,f637]) ).
fof(f714,definition,
( sQ137_spl
<=> c1_1(a147) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ137_spl
| c1_1(a147) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( ~ sQ125_spl
| ~ sQ86_spl
| ~ sQ88_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f713,f714,f488,f480,f636]) ).
fof(f718,plain,
( ~ sQ125_spl
| ~ sQ30_spl
| ~ c3_1(a141)
| c1_1(a141) ),
inference(resolution,[status(thm)],[f257,f637]) ).
fof(f719,plain,
( ~ sQ125_spl
| ~ sQ30_spl
| ~ sQ31_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f718,f264,f260,f256,f636]) ).
fof(f720,plain,
! [X0] :
( ~ sQ126_spl
| ~ sQ125_spl
| ~ c2_1(X0)
| c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f637]) ).
fof(f721,plain,
( ~ sQ88_spl
| ~ sQ117_spl
| c0_1(a147)
| c2_1(a147) ),
inference(resolution,[status(thm)],[f605,f489]) ).
fof(f722,plain,
( ~ sQ88_spl
| ~ sQ117_spl
| sQ87_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f721,f480,f484,f604,f488]) ).
fof(f723,plain,
( ~ sQ125_spl
| ~ sQ59_spl
| ~ c3_1(a159)
| c1_1(a159) ),
inference(resolution,[status(thm)],[f373,f637]) ).
fof(f724,plain,
( ~ sQ125_spl
| ~ sQ59_spl
| ~ sQ60_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f723,f368,f376,f372,f636]) ).
fof(f725,plain,
( ~ sQ125_spl
| ~ sQ92_spl
| ~ c3_1(a148)
| c1_1(a148) ),
inference(resolution,[status(thm)],[f505,f637]) ).
fof(f726,plain,
( ~ sQ125_spl
| ~ sQ92_spl
| ~ sQ90_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f725,f500,f496,f504,f636]) ).
fof(f727,plain,
( ~ sQ125_spl
| ~ sQ14_spl
| ~ c3_1(a136)
| c1_1(a136) ),
inference(resolution,[status(thm)],[f193,f637]) ).
fof(f728,definition,
( sQ138_spl
<=> c1_1(a136) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ138_spl
| c1_1(a136) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( ~ sQ125_spl
| ~ sQ14_spl
| ~ sQ16_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f727,f728,f200,f192,f636]) ).
fof(f732,plain,
( ~ sQ121_spl
| ~ sQ131_spl
| c2_1(a148)
| ~ c1_1(a148) ),
inference(resolution,[status(thm)],[f672,f621]) ).
fof(f733,plain,
( ~ sQ121_spl
| ~ sQ131_spl
| sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f732,f500,f504,f671,f620]) ).
fof(f734,plain,
( ~ sQ125_spl
| ~ sQ104_spl
| ~ c3_1(a152)
| c1_1(a152) ),
inference(resolution,[status(thm)],[f553,f637]) ).
fof(f735,definition,
( sQ139_spl
<=> c1_1(a152) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ139_spl
| c1_1(a152) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ125_spl
| ~ sQ104_spl
| ~ sQ102_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f734,f735,f544,f552,f636]) ).
fof(f739,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| c2_1(a149)
| ~ c1_1(a149) ),
inference(resolution,[status(thm)],[f521,f621]) ).
fof(f740,definition,
( sQ140_spl
<=> c2_1(a149) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ140_spl
| c2_1(a149) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( sQ140_spl
| ~ c2_1(a149) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| sQ140_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f739,f516,f740,f520,f620]) ).
fof(f744,plain,
( ~ sQ92_spl
| ~ sQ130_spl
| c0_1(a148)
| ~ c3_1(a148) ),
inference(resolution,[status(thm)],[f659,f505]) ).
fof(f745,plain,
( ~ sQ59_spl
| ~ sQ130_spl
| c0_1(a159)
| ~ c3_1(a159) ),
inference(resolution,[status(thm)],[f659,f373]) ).
fof(f746,plain,
( ~ sQ30_spl
| ~ sQ130_spl
| c0_1(a141)
| ~ c3_1(a141) ),
inference(resolution,[status(thm)],[f659,f257]) ).
fof(f747,plain,
( ~ sQ86_spl
| ~ sQ130_spl
| c0_1(a147)
| ~ c3_1(a147) ),
inference(resolution,[status(thm)],[f659,f481]) ).
fof(f748,plain,
( ~ sQ22_spl
| ~ sQ130_spl
| c0_1(a139)
| ~ c3_1(a139) ),
inference(resolution,[status(thm)],[f659,f225]) ).
fof(f749,plain,
( ~ sQ78_spl
| ~ sQ130_spl
| c0_1(a143)
| ~ c3_1(a143) ),
inference(resolution,[status(thm)],[f659,f449]) ).
fof(f750,plain,
( ~ sQ92_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f744,f496,f671,f658,f504]) ).
fof(f751,plain,
( ~ sQ59_spl
| ~ sQ130_spl
| sQ133_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f745,f376,f679,f658,f372]) ).
fof(f752,definition,
( sQ141_spl
<=> c0_1(a141) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ141_spl
| c0_1(a141) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( sQ141_spl
| ~ c0_1(a141) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( ~ sQ30_spl
| ~ sQ130_spl
| sQ141_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f746,f260,f752,f658,f256]) ).
fof(f756,plain,
( ~ sQ86_spl
| ~ sQ130_spl
| sQ87_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f747,f488,f484,f658,f480]) ).
fof(f757,plain,
( ~ sQ22_spl
| ~ sQ130_spl
| sQ23_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f748,f700,f228,f658,f224]) ).
fof(f758,plain,
( ~ sQ78_spl
| ~ sQ130_spl
| sQ79_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f749,f694,f452,f658,f448]) ).
fof(f759,plain,
( ~ sQ34_spl
| ~ sQ128_spl
| c2_1(a142)
| ~ c1_1(a142) ),
inference(resolution,[status(thm)],[f650,f273]) ).
fof(f760,plain,
( ~ sQ19_spl
| ~ sQ128_spl
| c2_1(a137)
| ~ c1_1(a137) ),
inference(resolution,[status(thm)],[f650,f213]) ).
fof(f761,plain,
( ~ sQ88_spl
| ~ sQ128_spl
| c2_1(a147)
| ~ c1_1(a147) ),
inference(resolution,[status(thm)],[f650,f489]) ).
fof(f762,definition,
( sQ142_spl
<=> c2_1(a142) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ142_spl
| c2_1(a142) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ142_spl
| ~ c2_1(a142) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( ~ sQ34_spl
| ~ sQ128_spl
| sQ142_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f759,f276,f762,f649,f272]) ).
fof(f766,plain,
( ~ sQ19_spl
| ~ sQ128_spl
| sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f760,f208,f216,f649,f212]) ).
fof(f767,plain,
( ~ sQ88_spl
| ~ sQ128_spl
| sQ86_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f761,f714,f480,f649,f488]) ).
fof(f768,plain,
( ~ sQ92_spl
| ~ sQ126_spl
| ~ sQ125_spl
| c1_1(a148) ),
inference(resolution,[status(thm)],[f720,f505]) ).
fof(f769,plain,
( ~ sQ59_spl
| ~ sQ126_spl
| ~ sQ125_spl
| c1_1(a159) ),
inference(resolution,[status(thm)],[f720,f373]) ).
fof(f770,plain,
( ~ sQ86_spl
| ~ sQ126_spl
| ~ sQ125_spl
| c1_1(a147) ),
inference(resolution,[status(thm)],[f720,f481]) ).
fof(f771,plain,
( ~ sQ22_spl
| ~ sQ126_spl
| ~ sQ125_spl
| c1_1(a139) ),
inference(resolution,[status(thm)],[f720,f225]) ).
fof(f772,plain,
( ~ sQ78_spl
| ~ sQ126_spl
| ~ sQ125_spl
| c1_1(a143) ),
inference(resolution,[status(thm)],[f720,f449]) ).
fof(f773,plain,
( ~ sQ22_spl
| ~ sQ126_spl
| ~ sQ125_spl
| sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f234]) ).
fof(f774,plain,
( ~ sQ22_spl
| ~ sQ126_spl
| ~ sQ125_spl
| sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f775,plain,
( ~ sQ92_spl
| ~ sQ122_spl
| c0_1(a148)
| ~ c1_1(a148) ),
inference(resolution,[status(thm)],[f624,f505]) ).
fof(f776,plain,
( ~ sQ59_spl
| ~ sQ122_spl
| c0_1(a159)
| ~ c1_1(a159) ),
inference(resolution,[status(thm)],[f624,f373]) ).
fof(f777,plain,
( ~ sQ86_spl
| ~ sQ122_spl
| c0_1(a147)
| ~ c1_1(a147) ),
inference(resolution,[status(thm)],[f624,f481]) ).
fof(f778,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| c0_1(a139)
| ~ c1_1(a139) ),
inference(resolution,[status(thm)],[f624,f225]) ).
fof(f779,plain,
( ~ sQ78_spl
| ~ sQ122_spl
| c0_1(a143)
| ~ c1_1(a143) ),
inference(resolution,[status(thm)],[f624,f449]) ).
fof(f780,plain,
( ~ sQ92_spl
| ~ sQ122_spl
| sQ131_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f775,f500,f671,f623,f504]) ).
fof(f781,plain,
( ~ sQ59_spl
| ~ sQ122_spl
| sQ133_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f776,f368,f679,f623,f372]) ).
fof(f782,plain,
( ~ sQ86_spl
| ~ sQ122_spl
| sQ87_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f777,f714,f484,f623,f480]) ).
fof(f783,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ23_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f778,f232,f228,f623,f224]) ).
fof(f784,plain,
( ~ sQ78_spl
| ~ sQ122_spl
| sQ79_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f779,f456,f452,f623,f448]) ).
fof(f785,plain,
( ~ sQ92_spl
| ~ sQ119_spl
| ~ c0_1(a148)
| ~ c3_1(a148) ),
inference(resolution,[status(thm)],[f613,f505]) ).
fof(f786,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| ~ c0_1(a159)
| ~ c3_1(a159) ),
inference(resolution,[status(thm)],[f613,f373]) ).
fof(f787,plain,
( ~ sQ86_spl
| ~ sQ119_spl
| ~ c0_1(a147)
| ~ c3_1(a147) ),
inference(resolution,[status(thm)],[f613,f481]) ).
fof(f788,plain,
( ~ sQ22_spl
| ~ sQ119_spl
| ~ c0_1(a139)
| ~ c3_1(a139) ),
inference(resolution,[status(thm)],[f613,f225]) ).
fof(f789,plain,
( ~ sQ78_spl
| ~ sQ119_spl
| ~ c0_1(a143)
| ~ c3_1(a143) ),
inference(resolution,[status(thm)],[f613,f449]) ).
fof(f790,plain,
( ~ sQ92_spl
| ~ sQ119_spl
| ~ sQ131_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f785,f496,f671,f612,f504]) ).
fof(f791,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| ~ sQ133_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f786,f376,f679,f612,f372]) ).
fof(f792,plain,
( ~ sQ86_spl
| ~ sQ119_spl
| ~ sQ87_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f787,f488,f484,f612,f480]) ).
fof(f793,plain,
( ~ sQ22_spl
| ~ sQ119_spl
| ~ sQ23_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f788,f700,f228,f612,f224]) ).
fof(f794,plain,
( ~ sQ78_spl
| ~ sQ119_spl
| ~ sQ79_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f789,f694,f452,f612,f448]) ).
fof(f795,plain,
( ~ sQ34_spl
| ~ sQ118_spl
| ~ c0_1(a142)
| c1_1(a142) ),
inference(resolution,[status(thm)],[f609,f273]) ).
fof(f796,plain,
( ~ sQ88_spl
| ~ sQ118_spl
| ~ c0_1(a147)
| c1_1(a147) ),
inference(resolution,[status(thm)],[f609,f489]) ).
fof(f797,plain,
( ~ sQ34_spl
| ~ sQ118_spl
| ~ sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f795,f276,f280,f608,f272]) ).
fof(f798,plain,
( ~ sQ88_spl
| ~ sQ118_spl
| ~ sQ87_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f796,f714,f484,f608,f488]) ).
fof(f799,plain,
( ~ sQ119_spl
| ~ sQ134_spl
| ~ c0_1(a156)
| ~ c3_1(a156) ),
inference(resolution,[status(thm)],[f684,f613]) ).
fof(f800,plain,
( ~ sQ119_spl
| ~ sQ134_spl
| ~ sQ56_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f799,f352,f360,f683,f612]) ).
fof(f801,plain,
( ~ sQ121_spl
| ~ sQ133_spl
| c2_1(a159)
| ~ c1_1(a159) ),
inference(resolution,[status(thm)],[f680,f621]) ).
fof(f802,plain,
( ~ sQ121_spl
| ~ sQ133_spl
| sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f801,f368,f372,f679,f620]) ).
fof(f803,plain,
( ~ sQ119_spl
| ~ sQ132_spl
| ~ c0_1(a151)
| ~ c3_1(a151) ),
inference(resolution,[status(thm)],[f676,f613]) ).
fof(f804,plain,
( ~ sQ119_spl
| ~ sQ132_spl
| ~ sQ48_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f803,f324,f328,f675,f612]) ).
fof(f805,plain,
( ~ sQ119_spl
| ~ sQ116_spl
| ~ c0_1(a158)
| ~ c3_1(a158) ),
inference(resolution,[status(thm)],[f601,f613]) ).
fof(f806,definition,
( sQ143_spl
<=> c3_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( sQ143_spl
| ~ c3_1(a158) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ sQ119_spl
| ~ sQ116_spl
| ~ sQ115_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f805,f806,f596,f600,f612]) ).
fof(f810,plain,
( ~ sQ119_spl
| ~ sQ112_spl
| ~ c0_1(a157)
| ~ c3_1(a157) ),
inference(resolution,[status(thm)],[f585,f613]) ).
fof(f811,definition,
( sQ144_spl
<=> c0_1(a157) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( sQ144_spl
| ~ c0_1(a157) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( ~ sQ119_spl
| ~ sQ112_spl
| ~ sQ144_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f810,f580,f811,f584,f612]) ).
fof(f815,plain,
( ~ sQ121_spl
| ~ sQ100_spl
| c2_1(a150)
| ~ c1_1(a150) ),
inference(resolution,[status(thm)],[f537,f621]) ).
fof(f816,plain,
( ~ sQ121_spl
| ~ sQ100_spl
| sQ98_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f815,f532,f528,f536,f620]) ).
fof(f817,plain,
( ~ sQ119_spl
| ~ sQ83_spl
| ~ c0_1(a144)
| ~ c3_1(a144) ),
inference(resolution,[status(thm)],[f469,f613]) ).
fof(f818,plain,
( ~ sQ119_spl
| ~ sQ83_spl
| ~ sQ82_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f817,f472,f464,f468,f612]) ).
fof(f819,plain,
( ~ sQ121_spl
| ~ sQ75_spl
| c2_1(a138)
| ~ c1_1(a138) ),
inference(resolution,[status(thm)],[f437,f621]) ).
fof(f820,definition,
( sQ145_spl
<=> c1_1(a138) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ145_spl
| c1_1(a138) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( sQ145_spl
| ~ c1_1(a138) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ121_spl
| ~ sQ75_spl
| sQ74_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f819,f820,f432,f436,f620]) ).
fof(f824,plain,
( ~ sQ121_spl
| ~ sQ72_spl
| c2_1(a134)
| ~ c1_1(a134) ),
inference(resolution,[status(thm)],[f425,f621]) ).
fof(f825,definition,
( sQ146_spl
<=> c1_1(a134) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ146_spl
| c1_1(a134) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( sQ146_spl
| ~ c1_1(a134) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ121_spl
| ~ sQ72_spl
| sQ70_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f824,f825,f416,f424,f620]) ).
fof(f829,plain,
( ~ sQ119_spl
| ~ sQ70_spl
| ~ c0_1(a134)
| ~ c3_1(a134) ),
inference(resolution,[status(thm)],[f417,f613]) ).
fof(f830,plain,
( ~ sQ119_spl
| ~ sQ70_spl
| ~ sQ72_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f829,f420,f424,f416,f612]) ).
fof(f831,plain,
( ~ sQ119_spl
| ~ sQ67_spl
| ~ c0_1(a161)
| ~ c3_1(a161) ),
inference(resolution,[status(thm)],[f405,f613]) ).
fof(f832,definition,
( sQ147_spl
<=> c3_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( sQ147_spl
| ~ c3_1(a161) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( ~ sQ119_spl
| ~ sQ67_spl
| ~ sQ66_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f831,f832,f400,f404,f612]) ).
fof(f836,plain,
( ~ sQ121_spl
| ~ sQ66_spl
| c2_1(a161)
| ~ c1_1(a161) ),
inference(resolution,[status(thm)],[f401,f621]) ).
fof(f837,plain,
( ~ sQ121_spl
| ~ sQ66_spl
| sQ67_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f836,f408,f404,f400,f620]) ).
fof(f838,plain,
( ~ sQ121_spl
| ~ sQ42_spl
| c2_1(a146)
| ~ c1_1(a146) ),
inference(resolution,[status(thm)],[f305,f621]) ).
fof(f839,plain,
( ~ sQ121_spl
| ~ sQ42_spl
| sQ43_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f838,f312,f308,f304,f620]) ).
fof(f840,plain,
( ~ sQ121_spl
| ~ sQ27_spl
| c2_1(a140)
| ~ c1_1(a140) ),
inference(resolution,[status(thm)],[f245,f621]) ).
fof(f841,definition,
( sQ148_spl
<=> c2_1(a140) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ148_spl
| c2_1(a140) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( sQ148_spl
| ~ c2_1(a140) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( ~ sQ121_spl
| ~ sQ27_spl
| sQ148_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f840,f240,f841,f244,f620]) ).
fof(f845,plain,
( ~ sQ119_spl
| ~ sQ6_spl
| ~ c0_1(a133)
| ~ c3_1(a133) ),
inference(resolution,[status(thm)],[f161,f613]) ).
fof(f846,definition,
( sQ149_spl
<=> c3_1(a133) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( sQ149_spl
| ~ c3_1(a133) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ sQ119_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f845,f846,f168,f160,f612]) ).
fof(f850,plain,
( ~ sQ119_spl
| ~ sQ140_spl
| ~ c0_1(a149)
| ~ c3_1(a149) ),
inference(resolution,[status(thm)],[f741,f613]) ).
fof(f851,plain,
( ~ sQ119_spl
| ~ sQ140_spl
| ~ sQ96_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f850,f512,f520,f740,f612]) ).
fof(f852,plain,
( ~ sQ140_spl
| ~ sQ125_spl
| ~ c3_1(a149)
| c1_1(a149) ),
inference(resolution,[status(thm)],[f637,f741]) ).
fof(f853,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| ~ c3_1(a133)
| c1_1(a133) ),
inference(resolution,[status(thm)],[f637,f161]) ).
fof(f854,plain,
( ~ sQ67_spl
| ~ sQ125_spl
| ~ c3_1(a161)
| c1_1(a161) ),
inference(resolution,[status(thm)],[f637,f405]) ).
fof(f855,plain,
( ~ sQ70_spl
| ~ sQ125_spl
| ~ c3_1(a134)
| c1_1(a134) ),
inference(resolution,[status(thm)],[f637,f417]) ).
fof(f856,plain,
( ~ sQ83_spl
| ~ sQ125_spl
| ~ c3_1(a144)
| c1_1(a144) ),
inference(resolution,[status(thm)],[f637,f469]) ).
fof(f862,plain,
( ~ sQ140_spl
| ~ sQ125_spl
| ~ sQ94_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f852,f516,f512,f636,f740]) ).
fof(f863,plain,
( ~ sQ6_spl
| ~ sQ125_spl
| ~ sQ149_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f853,f164,f846,f636,f160]) ).
fof(f864,plain,
( ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ147_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f854,f408,f832,f636,f404]) ).
fof(f865,plain,
( ~ sQ70_spl
| ~ sQ125_spl
| ~ sQ71_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f855,f825,f420,f636,f416]) ).
fof(f866,definition,
( sQ150_spl
<=> c1_1(a144) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ150_spl
| c1_1(a144) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( ~ sQ83_spl
| ~ sQ125_spl
| ~ sQ84_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f856,f866,f472,f636,f468]) ).
fof(f875,plain,
( ~ sQ125_spl
| ~ sQ74_spl
| ~ c3_1(a138)
| c1_1(a138) ),
inference(resolution,[status(thm)],[f433,f637]) ).
fof(f876,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| ~ c0_1(a138)
| ~ c3_1(a138) ),
inference(resolution,[status(thm)],[f433,f613]) ).
fof(f877,plain,
( ~ sQ125_spl
| ~ sQ74_spl
| ~ sQ76_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f875,f820,f440,f432,f636]) ).
fof(f878,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f876,f440,f436,f432,f612]) ).
fof(f879,plain,
( ~ sQ125_spl
| ~ sQ43_spl
| ~ c3_1(a146)
| c1_1(a146) ),
inference(resolution,[status(thm)],[f309,f637]) ).
fof(f880,plain,
( ~ sQ119_spl
| ~ sQ43_spl
| ~ c0_1(a146)
| ~ c3_1(a146) ),
inference(resolution,[status(thm)],[f309,f613]) ).
fof(f881,definition,
( sQ151_spl
<=> c3_1(a146) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( sQ151_spl
| ~ c3_1(a146) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( ~ sQ125_spl
| ~ sQ43_spl
| ~ sQ151_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f879,f312,f881,f308,f636]) ).
fof(f885,plain,
( ~ sQ119_spl
| ~ sQ43_spl
| ~ sQ42_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f880,f881,f304,f308,f612]) ).
fof(f886,plain,
( ~ sQ121_spl
| ~ sQ141_spl
| c2_1(a141)
| ~ c1_1(a141) ),
inference(resolution,[status(thm)],[f753,f621]) ).
fof(f887,plain,
( ~ sQ121_spl
| ~ sQ141_spl
| sQ30_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f886,f264,f256,f752,f620]) ).
fof(f889,plain,
( ~ sQ119_spl
| ~ sQ30_spl
| ~ c0_1(a141)
| ~ c3_1(a141) ),
inference(resolution,[status(thm)],[f257,f613]) ).
fof(f891,plain,
( ~ sQ119_spl
| ~ sQ30_spl
| ~ sQ141_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f889,f260,f752,f256,f612]) ).
fof(f892,plain,
( ~ sQ125_spl
| ~ sQ142_spl
| ~ c3_1(a142)
| c1_1(a142) ),
inference(resolution,[status(thm)],[f763,f637]) ).
fof(f893,plain,
( ~ sQ119_spl
| ~ sQ142_spl
| ~ c0_1(a142)
| ~ c3_1(a142) ),
inference(resolution,[status(thm)],[f763,f613]) ).
fof(f894,plain,
( ~ sQ125_spl
| ~ sQ142_spl
| ~ sQ34_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f892,f276,f272,f762,f636]) ).
fof(f895,plain,
( ~ sQ119_spl
| ~ sQ142_spl
| ~ sQ36_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f893,f272,f280,f762,f612]) ).
fof(f898,plain,
( ~ sQ125_spl
| ~ sQ148_spl
| ~ c3_1(a140)
| c1_1(a140) ),
inference(resolution,[status(thm)],[f842,f637]) ).
fof(f899,plain,
( ~ sQ119_spl
| ~ sQ148_spl
| ~ c0_1(a140)
| ~ c3_1(a140) ),
inference(resolution,[status(thm)],[f842,f613]) ).
fof(f900,plain,
( ~ sQ125_spl
| ~ sQ148_spl
| ~ sQ28_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f898,f240,f248,f841,f636]) ).
fof(f901,plain,
( ~ sQ119_spl
| ~ sQ148_spl
| ~ sQ27_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f899,f248,f244,f841,f612]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| sQ57_spl
| sQ58_spl
| sQ59_spl
| ~ sQ60_spl
| sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| sQ78_spl
| sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ99_spl
| sQ100_spl
| ~ sQ101_spl
| ~ sQ103_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ113_spl
| sQ114_spl
| ~ sQ115_spl
| ~ sQ118_spl
| sQ119_spl
| ~ sQ120_spl
| sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| sQ133_spl
| ~ sQ135_spl
| ~ sQ136_spl
| sQ137_spl
| sQ138_spl
| sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| sQ150_spl
| ~ sQ151_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN431+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n004.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Mon Sep 21 10:54:19 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.19/0.43 % Drodi V4.1.1
% 0.19/0.45 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.19/0.45 % SZS output start Saturation for theBenchmark
% See solution above
% 0.19/0.49 % Elapsed time: 0.068996 seconds
% 0.19/0.49 % CPU time: 0.187691 seconds
% 0.19/0.49 % Total memory used: 8.895 MB
% 0.19/0.49 % Net memory used: 8.852 MB
%------------------------------------------------------------------------------